# Algebra 1

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Credits: 1

Prerequisite: Pre-algebra

Recommended: 8th, 9th

Test Prep: PSAT, SAT

Course Description: Students will engage in real world and hands-on problem solving while using their developing skills in algebra. Students will learn new material through animations, videos, reading, and guided practice. The topics covered in this course include: real numbers, algebraic expressions, graphing to solve inequalities and absolute value, graphing to solve linear equations, systems of equations, factoring polynomial equations, relations and functions, quadratic equations, radical and rational expressions and equations, and probability. Students will also do timed PSAT practice questions.

Notes: The text for each lesson is also available in Spanish.

Materials:

• Basic Supplies List (There are no lapbooks in this course.)
• tape measure
• patience as several of these resources are slow to load

Lesson 1* (Note that an asterisk * indicates that there is a worksheet in this Lesson)

Welcome to your first day of school! I wanted to give you one important reminder before you begin. Many of your lessons below have an internet link for you to click on. When you go to the different internet pages for your lessons, please DO NOT click on anything else on that page except what the directions tell you to. DO NOT click on any advertisements or games. DO NOT click on anything that takes you to a different website. Just stay focused on your lesson and then close that window and you should be right back here for the next lesson. Okay?

1. If you didn’t get here through My EP Assignments, I suggest you go there and create an account.

If a link is not working, follow the steps on the FAQ page.

1. *Print out your first quarter grading sheet or use the Excel version. Save this sheet and record your scores.
2. Watch the presentation introducing algebra.
3. Read the topic text (#4 in the list).
4. Do the practice and review. They are both on the link above.
5. Read the definitions and solve the crossword puzzle.
6. Watch the presentation on “Why and When” and read the topic text.
7. This is the end of your work for this course for your first day. You are allowed to move at your own pace (this is homeschooling), but it’s intended you complete one lesson a day.

Lesson 2

1. Do all of the available parts of the lesson on approaching problems.
2. Remember that the topic text is always available for reminder, review, help, or to learn the lesson if that is easier for you than the video.

Lesson 3

1. Do the warm-up, presentation, worked examples as necessary and practice for solving equations.
2. You get a point for any you get correct before it shows you the answer (1 or 2 tries). There were twelve all together. You can see them in the list on the result page.
3. Divide the total by two. Record your score out of 6 for the practice problems.

Lesson 4

1. If you want to move more quickly, DO NOT do the review on the same day as the lesson. The point of putting the review on the next day is to try to force the information into your longer term memory instead of using it only in your short term memory (which would allow you to easily forget it and leave it behind). If you want to move on, after a review lesson, you can start the next lesson. You could do the whole thing or just watch the presentation. Then the next day you could use the text and worked examples. You can find what groove works best for you.
2. Do the review from solving equations.
3. Record your score out of 5.
4. Review as directed if you missed any. Then you may retake the review at this point for a new score. You may add a half point for any newly correct answers if you can correctly solve them now and haven’t just cheated.
5. Go through this lesson on exponents to refresh your memory on the topic.
• If it were -2 to the third power, what would the answer be?
• -8
• -2 x -2 x -2 = 4 x -2 = -8
6. Play Connect Four with equations. Click on two-step equations. (Here’s a walk through of one-step equations. Here’s practice with two-step equations. Make the blocks on the scales match the expression. If the expression says 3x + 1 on one side, drag three x blocks and one 1 block onto the scale on the same side.)
7. Almost every other lesson is a review lesson. It gives two days to learn each new lesson. Make sure you get 100% on the lesson before you move on. There will also be another review activity on these days to have more practice on other topics from the course.
8. Early in the course, these lessons may go by quickly because it is probably going to be a bit easy for you.

Lesson 5

1. Do the warm-up, presentation, worked examples as necessary and practice for solving multi-step equations.
• You get a point for any you get correct before it shows you the answer (1 or 2 tries). There were twelve all together. You can see them in the list on the result page.
2. Divide the total by two. Record your score out of 6 for the practice problems.

Lesson 6

1. Do the review from solving multi-step equations.
2. Record your score out of 5.
3. Review as directed if you missed any. Then you may retake the review at this point for a new score. You may add a half point for any newly correct answers if you can correctly solve them now and haven’t just cheated.
4. Go through this lesson on radicals to refresh your memory on the topic. If you need more help/practice
5. Do some equation solving.
6. You could get a head start on the next lesson by watching the presentation.

Lesson 7

1. Do the warm-up, presentation, worked examples as necessary and practice for writing expressions and equations.
• You get a point for any you get correct before it shows you the answer (1 or 2 tries). There were twelve all together. You can see them in the list on the result page.
2. Divide the total by two. Record your score out of 6 for the practice problems.

Lesson 8

1. Do the review from writing expressions and equations.
2. Record your score out of 5.
3. Review as directed if you missed any. Then you may retake the review at this point for a new score. You may add a half point for any newly correct answers if you can correctly solve them now and haven’t just cheated.
4. Watch the Order of Operations video.
5. Try some problems. If you need more of a reminder on how to do it, check it out at Khan Academy.

Lesson 9

1. Do the warm-up, presentation, worked examples as necessary and practice for solving for a specific variable.
• You get a point for any you get correct before it shows you the answer (1 or 2 tries). There were twelve all together. You can see them in the list on the result page.
2. Divide the total by two. Record your score out of 6 for the practice problems.

Lesson 10

1. Do the review from solving for a specific variable.
2. Record your score out of 5.
3. Review as directed if you missed any. Then you may retake the review at this point for a new score. You may add a half point for any newly correct answers if you can correctly solve them now and haven’t just cheated.

Lesson 11

1. Do the warm-up and presentation for absolute value. Use the worked examples and topic text to help you.
2. Complete the practice.
• You get a point for any you get correct before it shows you the answer (1 or 2 tries). There were twelve all together. You can see them in the list on the result page.
3. Divide the total by two. Record your score out of 6 for the practice problems.

Lesson 12

1. Do the review from absolute value.
2. Record your score out of 5.
3. Review as directed if you missed any. Then you may retake the review at this point for a new score. I don’t need to keep saying it, do I? You know the rules. You may add a half point for any newly correct answers if you can correctly solve them now and haven’t just cheated.
4. Read the lesson on properties of multiplication and do the guided practice. Then check your answers.

Lesson 13

1. Do the warm-up and presentation for solving absolute value equations. Use the worked examples and topic text to help you.
• You get a point for any you get correct before it shows you the answer (1 or 2 tries). There were twelve all together. You can see them in the list on the result page.
2. Divide the total by two. Record your score out of 6 for the practice problems.
3. Complete the practice.

Lesson 14

1. Do the review from solving absolute value equations.
2. Record your score out of 5.
3. Review as directed if you missed any. Then you may retake the review at this point for a new score.
4. Read over these statements of equality.
5. Match the terms and their definitions.

Lesson 15

1. Use the tutor simulation to build a swimming pool.

Lesson 16

1. Complete the project. Solve the four problems. (For problem 4, discuss a project you would want to see done in your homeschool co-op, church, or community.)
3. Record 8 points (2 points for completing each problem).

Lesson 17

1. Create a proposal. Write it or create a presentation like described in the project assignment.
2. Present your proposal. If you wrote a proposal, present it without reading it.
3. Record 5 points for completion.

Lesson 18

1. Watch the presentation for inductive patterns. Use the worked examples and topic text to help you.
2. Complete the practice.
3. Record your score out of 6 for the practice problems. You get a point for any you get correct before it shows you the answer.

Lesson 19

1. Do the review from inductive patterns.
2. Record your score out of 5.
3. Review as directed if you missed any. Then you may retake the review at this point for a new score.
4. Play Absolutely.

Lesson 20

1. Do the warm-up and presentation for representing patterns. Use the worked examples and topic text to help you.
2. Complete the practice. (ANSWER CORRECTION: one problem says both charts represent, only chart B represents the equation)
3. Record your score out of 6 for the practice problems. You get a point for any you get correct before it shows you the answer. Divide the total by two.

Lesson 21

1. Do the review from representing patterns.
2. Record your score out of 5.
3. Review as directed if you missed any. Then you may retake the review at this point for a new score.

Lesson 22

1. Do the warm-up and presentation for representing functions and relations. Use the worked examples and topic text to help you.
2. Complete the practice.
3. Record your score out of 6 for the practice problems. You get a point for any you get correct before it shows you the answer. Divide the total by two.

Lesson 23

1. Do the review from representing functions and relations.
2. Record your score out of 5.
3. Review as directed if you missed any. Then you may retake the review at this point for a new score.
4. Can you figure out these problems using the distributive property? Of course you can; just use your brain.

Lesson 24

1. Do the warm-up and presentation for domain and range. Use the worked examples and topic text to help you.
2. Complete the practice.
3. Record your score out of 6 for the practice problems. You get a point for any you get correct before it shows you the answer. Divide the total by two.

Lesson 25

1. Do the review from solving for domain and range.
2. Record your score out of 5.
3. Review as directed if you missed any. Then you may retake the review at this point for a new score.
4. Simplify some fractions. (Do you need a video on fractions?)

Lesson 26

1. Do the warm-up and presentation for proportional functions. Use the worked examples and topic text to help you.
2. Complete the practice.
3. Record your score out of 6 for the practice problems. You get a point for any you get correct before it shows you the answer. Divide the total by two.

Lesson 27

1. Do the review from proportional functions.
2. Record your score out of 5.
3. Review as directed if you missed any. Then you may retake the review at this point for a new score.
4. Find some equivalent fractions. (Do you need a fraction review video?)

Lesson 28

1. Do the warm-up and presentation for linear functions. Use the worked examples and topic text to help you.
2. Complete the practice.
3. Record your score out of 6 for the practice problems. You get a point for any you get correct before it shows you the answer. Divide the total by two.

Lesson 29

1. Do the review from solving for linear functions.
2. Record your score out of 5.
3. Review as directed if you missed any. Then you may retake the review at this point for a new score.
4. Subtract integers.

Lesson 30

1. Do the warm-up and presentation for non-linear functions. Use the worked examples and topic text to help you.
2. Complete the practice.
3. Record your score out of 6 for the practice problems. You get a point for any you get correct before it shows you the answer. Divide the total by two.

Lesson 31

1. Do the review from non-linear functions.
2. Record your score out of 5.
3. Review as directed if you missed any. Then you may retake the review at this point for a new score.
4. Multiply and divide integers.

Lesson 32

1. Complete the tutor session on snowboarding.

Lesson 33 Roller coaster project

1. You will be working on a roller coaster project over the next 4 lessons.
2. Let’s look at a sample graph for a roller coaster. Looking at this diagram and using what you have learned so far about functions and equations, can you identify which areas of track might be described by proportional, linear, and non-linear functions? (This is NOT asking you to write complicated functions. Can you identify an area that would be proportional? linear? non-linear?)
3. Do this worksheet to practice using an algebra function to solve a problem. This is also giving you an idea of how to graph a drop section of a roller coaster!
5. You can read over and start planning ideas for your project. You will be drawing/designing a roller coaster. You will be using the Dream Scream Machine worksheet to help you write a function for the tallest drop of your roller coaster. You can also look at this grading rubric to see how it will be graded.

Lesson 34

1. Do this worksheet to practice applying algebra functions to roller coasters. This worksheet is a further look into functions of the drop portion of a roller coaster. In part 1 you will substitute times into the drop function to find the height at that portion of the drop.
4. Requirements:
• Completed worksheets (demonstrating you understand algebraic functions applied to roller coasters)
• Poster showing your roller coaster (at least two hills and a loop), information about the highest drop, labels showing sections of various function types (proportional, linear, non-linear)
• Draw out your roller coaster. There needs to be at least two hills (for one of which you will be writing a function for the drop) and a loop. You do not need to write functions for the other portions of this roller coaster. You DO need to identify if there are areas that would be linear, non-linear, or proportional.
• Written report. Write a one-page paper that answers the questions from the Dream Scream Machine worksheet and discusses how your roller coaster uses functions. You do not need to know the equations for all the functions your roller coaster uses, but you should be able to identify which type of function describes specific sections of track (proportional, linear, non-linear). Include graphs, tables (like the table from the worksheet), and equations (the equation for your highest drop) to support your discussion.

Lesson 35

2. Requirements:
• Completed worksheets (demonstrating you understand algebraic functions applied to roller coasters)
• Poster showing your roller coaster (at least two hills and a loop), information about the highest drop, labels showing sections of various function types (proportional, linear, non-linear)
• Written report. Write a one-page paper that answers the questions from the worksheet and discusses how your roller coaster uses functions. You do not need to know all the functions your roller coaster uses but you should be able to identify which type of function describes specific sections of track (proportional, linear, non-linear). Include graphs, tables, and equations to support your discussion.

Lesson 36

1. Finalize your project and present it.
2. Requirements:
• Completed worksheets (demonstrating you understand algebraic functions applied to roller coasters)
• Poster showing your roller coaster (at least two hills and a loop), information about the highest drop, labels showing sections of various function types (proportional, linear, non-linear)
• Written report. Write a one-page paper that answers the questions from the worksheet and discusses how your roller coaster uses functions. You do not need to know all the functions your roller coaster uses but you should be able to identify which type of function describes specific sections of track (proportional, linear, non-linear). Include graphs, tables, and equations to support your discussion.

Lesson 37

1. Do the warm-up and presentation for rate of change and slope. Use the worked examples and topic text to help you.
2. Complete the practice.
3. Record your score out of 6 for the practice problems. You get a point for any you get correct before it shows you the answer. Divide the total by two.

Lesson 38

1. Do the review from solving for rate of change and slope.
2. Record your score out of 5.
3. Review as directed if you missed any. Then you may retake the review at this point for a new score.
4. Find the pattern. Choose level 12 and then click on Genius before you look at it. If you are stuck, click on the Very Hard, etc.

Lesson 39

1. Do the warm-up and presentation for intercepts of linear functions. Use the worked examples and topic text to help you.
2. Complete the practice.
3. Record your score out of 6 for the practice problems. You get a point for any you get correct before it shows you the answer. Divide the total by two.

Lesson 40

1. Do the review from solving for intercepts of linear functions.
2. You could take a screen shot of your review exercise and even print out a page of topic text to show what materials you used.
3. Record your score out of 5.
4. Review as directed if you missed any. Then you may retake the review at this point for a new score.
5. Try writing a few expressions. Scroll down to the exercise.

Lesson 41

1. Do the warm-up and presentation for graphing equations in slope-intercept form. Use the worked examples and topic text to help you.
2. Complete the practice.
3. Record your score out of 6 for the practice problems. You get a point for any you get correct before it shows you the answer. Divide the total by two.
4. You can print graph paper if you would like to use it.
5. You could save some graphs for your portfolio.

Lesson 42

1. Do the review from graphing equations.
2. Record your score out of 5.
3. Review as directed if you missed any. Then you may retake the review at this point for a new score.
4. Graph it. Experiment with graphing.

Lesson 43

1. Do the warm-up and presentation for slope form and standard form. Use the worked examples and topic text to help you.
2. Complete the practice.
3. Record your score out of 6 for the practice problems. You get a point for any you get correct before it shows you the answer. Divide the total by two.

Lesson 44

1. Do the review from solving for slope form and standard form.
2. Record your score out of 5.
3. Review as directed if you missed any. Then you may retake the review at this point for a new score.
4. Combine like terms.

Lesson 45

1. Do the warm-up and presentation for parallel lines. Use the worked examples and topic text to help you.
2. Complete the practice.
3. Record your score out of 6 for the practice problems. You get a point for any you get correct before it shows you the answer. Divide the total by two.

STOP

Time for a report card and portfolio/records updating.

Portfolio/records: In your portfolio you should include a couple of your assignments from this quarter. You could take screen shots of different quizzes/exercises. Keep any written work. Keep your papers neat.

Divide your score by total possible. Move the decimal point over two places to the right. In the next box over, write the number in front of the decimal (something between 1 and 100). This is your percent grade. In the next box over, write your letter grade. Anything starting with a 9 is an A. Anything starting with an 8 is a B. Anything starting with a 7 is a C and so forth. If you have everything perfect, then your grade is 100. That’s an A too.

Your goal is to get an A for the course at the end of the year. Go back and look at where you lost points. What can you do to avoid losing those points in the next quarter?

Lesson 46(*)

1. (*)Print out your next second quarter grading sheet or use the Excel version.
2. Do the review from parallel lines.
3. Record your score out of 5.
4. Review as directed if you missed any. Then you may retake the review at this point for a new score.
5. Combine like terms.

Lesson 47

1. Do the warm-up and presentation for perpendicular lines. Use the worked examples and topic text to help you.
2. Complete the practice.
3. Record your score out of 6 for the practice problems. You get a point for any you get correct before it shows you the answer. Divide the total by two.

Lesson 48

1. Do the review from solving for perpendicular lines.
2. Record your score out of 5.
3. Review as directed if you missed any. Then you may retake the review at this point for a new score. I hope you are following the rules. You may add a half point for any newly correct answers if you can correctly solve them now and haven’t just cheated.
4. Shoot the target using slope. You’ll enter the slope as a decimal. 0.10 is one tenth. 0.75 is three fourths, etc.

Lesson 49

Lesson 50

1. Complete the community service project. (You don’t actually have to do the project; you just have to plan it. But you could do it!)
• You will have a written and oral presentation of your findings.
• Read the problem. (There are links for suggestions. They are not working. Here are two of them: one two. You can search online for others, or just come up with your own.
• Read the rubric. You will score up to 8 points; 4 for the written content, and 4 for the oral presentation.
• You have four days. Reread the directions and make a list of everything you need to do. Make a plan for how you are going to finish on time. It’s okay to get ahead of schedule, but not behind.

Lesson 51

1. Complete the community service project. (You don’t actually have to do the project; you just have to plan it. But you could do it!)
• You will have a written and oral presentation of your findings.
• Your last lesson is Lesson 53.

Lesson 52

• You will have a written and oral presentation of your findings.
• Your last lesson is Lesson 53.

Lesson 53

• Give yourself 10 points for completing this assignment on time.
• Score the different portions of your project according to the rubric.
• Record your score out of 18.

Lesson 54

1. Collect five sets of Fahrenheit and Celsius temperatures from five different locations. (Vary the locations so that you have a wide range of represented temperatures.)
2. Plot them on a graph with Fahrenheit and Celsius temperatures on the x and y axis.
3. Find the slope of the line.
4. Solve the conversion formula for C. °C x 9/5 + 32 = °F
5. Enter a Fahrenheit temperature into the formula and see if it equals what was given on the site for the Celsius temperature.
7. Record 10 points for completion. If you didn’t complete all the parts, go back and complete it! There’s no reason not to!
8. Work neatly and save this in your portfolio.

Lesson 55

1. Take this quiz.
2. Record your score as extra credit.
3. Complete this height project.
• Try to get at least 4 girls/women and 4 boys/men, including yourself.
• Complete parts 1 and 2.

Lesson 56

1. Complete your height project from Lesson 55.
1. Take graph paper and put a project title on it.
2. Make two tables of data, one for the boys and one for the girls.
3. Graph the three equations for each set of data. You can make two graphs (one for boys and one for girls) and use different colors for the three different equation lines.
2. Use your graphs to predict the heights of your parents (or other adults you measured). Measure their real heights and see how close they came.
3. Write a paragraph summary of what you did, what seems to be the best equation for predicting height and why.
4. Score up to 5 points for two tables and three equations.
5. Score up to 5 points for your paragraph. Make sure you followed all of the directions.
6. Record your score out of 10.
7. You can include this in your portfolio.

Lesson 57

1. The SAT is a test you’ll take in 11th grade. It is required by colleges. You will need a good score to show the college of your choice that you will be a good student. A good score also shows that you’ve been learning something and not just home playing video games.
2. In 10th grade you can take a practice test called the PSAT. Some schools give full scholarships to students who score very high. That could save your parents \$100,000! So do your best 🙂
3. When you take the PSAT or SAT, you need to know how to play the game. It’s a bit of a game and knowing the rules will help you win.
4. You get 1 point for each correct answer. You get zero points for anything left blank. You lose a quarter of a point if you get one wrong. So it’s not a good idea to just guess. If you can eliminate at least one answer, then your odds of guessing the right one increase, and statistically speaking, it’s in your favor to guess. If you can eliminate two or more of the answers, then you really should guess at the answer. Of course it’s best to know the answer!
5. NOTE! As of 2015 the PSAT is eliminating the penalty for a wrong answer. So it is best to guess if you don’t know! Don’t leave any answers blank.
6. NOTE! As of 2016 the SAT is eliminating the penalty for a wrong answer. That means you should never leave an answer blank. Just guess if you don’t know.
7. Try these PSAT math practice questions. There are explanations below.
8. Here’s another reason not to cheat. The truth has a way of making itself known. If your PSAT/SAT scores don’t match up with your grades, everyone will know something is up. Just copying answers won’t help you learn anything and it will eventually show if you aren’t learning.

Lesson 58

1. The PSAT and the SAT are also timed tests. You have to stop when time is up. Give it a try.
2. Give yourself twenty minutes to complete this test. Read the directions below before you begin.
3. Get the timer ready and then begin. If you have time left over, go back and look over your answers to make sure you are happy with them.
4. Don’t flip out if you feel like you don’t know something. Use your brain. It talks about scatter plots and trend lines. Maybe you have no idea what those are. But look at the question. It says estimate. You know what that is. It has a graph. You can estimate where the “trend” is headed. Look at the answers. Only one is reasonable in relation to the graph.
5. Record your score out of 15. (potential for extra credit)

Lesson 59*

1. *Print a bubble answer sheet. Print 5 or 6 to have on hand.
2. Try another set of PSAT practice questions.
3. You may use a calculator.
4. Get the timer ready for twenty minutes and then begin. If you have time left over, go back and look over your answers to make sure you are happy with them.

Lesson 60*

1. *Print a bubble answer sheet if you don’t have one already.
2. Try one more set of PSAT practice questions.
3. You may use a calculator.
4. Get the timer ready for fifteen minutes and then begin. If you have time left over, go back and look over your answers to make sure you are happy with them.

Lesson 61

1. Do the warm-up and presentation for writing, solving and graphing inequalities in one variable. Use the worked examples and topic text to help you.
2. Complete the practice.
3. Record your score out of 6 for the practice problems. You get a point for any you get correct before it shows you the answer. Divide the total by two.
4. You can print graph paper if you would like to use it.

Lesson 62

1. Do the review from writing, solving and graphing inequalities in one variable.
2. Record your score out of 5.
3. Review as directed if you missed any. Then you may retake the review at this point for a new score.
4. Complete this exercise called Trick or Treat.

Lesson 63

1. Do the warm-up and presentation for solving and graphing absolute value inequalities. Use the worked examples and topic text to help you.
2. Complete the practice.
3. Record your score out of 6 for the practice problems. You get a point for any you get correct before it shows you the answer. Divide the total by two.

Lesson 64

1. Do the review from solving for solving and graphing absolute value inequalities.
2. Record your score out of 5.
3. Review as directed if you missed any. Then you may retake the review at this point for a new score.
4. Practice turning words into mathematical expressions.

Lesson 65

1. Do the warm-up and presentation for writing and using inequalities. Use the worked examples and topic text to help you.
2. Complete the practice.
3. Record your score out of 6 for the practice problems. You get a point for any you get correct before it shows you the answer. Divide the total by two.

Lesson 66

1. Do the review from writing and using inequalities.
2. Record your score out of 5.
3. Review as directed if you missed any. Then you may retake the review at this point for a new score.
4. Go through the lesson on inequalities and do the practice problems.

Lesson 67

1. Do the warm-up and presentation for solving and graphing linear inequalities in two variables. Use the worked examples and topic text to help you.
2. Complete the practice.
3. Record your score out of 6 for the practice problems. You get a point for any you get correct before it shows you the answer. Divide the total by two.

Lesson 68

1. Do the review for solving and graphing linear inequalities in two variables.
2. Record your score out of 5.
3. Review as directed if you missed any. Then you may retake the review at this point for a new score.
4. Solve the two example problems.
5. Solve these example problems.

Lesson 69

1. Complete the skateboarding activity.

Lesson 70

Complete the Open for Business project.

1. You will have a written and an oral presentation of your findings.
3. Read the rubric. You will score up to 8 points; 4 for the written content, and 4 for the oral presentation.
4. You have four days. Reread the directions and make a list of everything you need to do. Make a plan for how you are going to finish on time. It’s okay to get ahead of schedule, but not behind.

Lesson 71

Complete the Open for Business project.

1. You will have a written and an oral presentation of your findings.
3. Read the rubric. You will score up to 8 points; 4 for the written content, and 4 for the oral presentation.
4. You will present on Lesson 73.

Lesson 72

Complete the Open for Business project.

1. You will have a written and an oral presentation of your findings.
3. Read the rubric. You will score up to 8 points; 4 for the written content, and 4 for the oral presentation.
4. You will present on Lesson 73.

Lesson 73

2. Give yourself 10 points for completing this assignment on time.
3. Score the different portions of your project according to the rubric.
4. Record your score out of 18.

Lesson 74

1. Do the warm-up and presentation for solving systems of linear equations with graphing. Use the worked examples and topic text to help you.
2. Complete the practice.
3. Record your score out of 6 for the practice problems. You get a point for any you get correct before it shows you the answer. Divide the total by two.
4. You can print graph paper if you would like to use it.

Lesson 75

1. Do the review from solving systems of linear equations with graphing.
2. Record your score out of 5.
3. Review as directed if you missed any. Then you may retake the review at this point for a new score.
4. Take the quiz  on solving absolute value equations.
5. Record your score out of 5 for up to five correct.
6. Here’s a video to review if you need it.

Lesson 76

1. Do the warm-up and presentation for solving systems of equations with substitution. Use the worked examples and topic text to help you.
2. Complete the practice.
3. Record your score out of 6 for the practice problems. You get a point for any you get correct before it shows you the answer. Divide the total by two.

Lesson 77

1. Do the review from solving systems of equations with substitution.
2. Record your score out of 5.
3. Review as directed if you missed any. Then you may retake the review at this point for a new score.
4. Take the slope quiz.
5. Record your score out of 5 for up to five correct answers.

Lesson 78

1. Do the warm-up and presentation for solving systems of linear equations by elimination. Use the worked examples and topic text to help you.
2. Complete the practice.
3. Record your score out of 6 for the practice problems. You get a point for any you get correct before it shows you the answer. Divide the total by two.

Lesson 79

1. Do the review from solving systems of linear equations by elimination.
2. Record your score out of 5.
3. Review as directed if you missed any. Then you may retake the review at this point for a new score.
4. Take the quiz on solving systems of equations using the elimination method.
5. Keep going until you do four completely correctly. Score a point for each X and Y in those equations that you solved correctly.
6. Record your score out of 8.

Lesson 80

1. Do the warm-up and presentation for rate problems. Use the worked examples and topic text to help you.
2. Complete the practice.
3. Record your score out of 6 for the practice problems. You get a point for any you get correct before it shows you the answer. Divide the total by two.

Lesson 81

1. Do the review from rate problems.
2. Record your score out of 5.
3. Review as directed if you missed any. Then you may retake the review at this point for a new score.
4. Write three rate word problems and solve them.

Lesson 82

1. Do the warm-up and presentation for mixture problems. Use the worked examples and topic text to help you.
2. Complete the practice.
3. Record your score out of 6 for the practice problems. You get a point for any you get correct before it shows you the answer. Divide the total by two.

Lesson 83

1. Do the review from mixture problems.
2. Record your score out of 5.
3. Review as directed if you missed any. Then you may retake the review at this point for a new score.
4. Write three mixture word problems and solve them.

Lesson 84

1. Complete the tutor session on mixing punch.

Lesson 85

1. Start the Say What? project. Read over it today to get an idea of what the project requires.
1. You will have a written and an oral presentation of your findings.
2. Read the rubric. You will score up to 8 points; 4 for the written content, and 4 for the oral presentation.
3. You have four days. Read the directions and make a list of everything you need to do. Make a plan for how you are going to finish on time. It’s okay to get ahead of schedule, but not behind.
1. You need to choose the domains/ranges you will use to make a story line. (Problem 1)
2. Decide what the x values represent and what the y values represent. Make up data tables and a graph for your story line. (Problem 2)
3. You can use this program to create a graph instead of the one suggested in Problem 3. If there are other programs you are more familiar with, you can use those. Excel and similar spreadsheet based programs can create graphs. (another graphing alternative)
4. Problem 4 asks you to find the equation of the lines you have graphed.
5. Write your story line and algebraic question. (This is your opportunity to be creative and maybe even make light of some of the algebra questions you have come across.)
6. Prepare an oral presentation. You will want to have visual aids to present as well, for example, a poster with your graphs.

Lesson 86

1. Continue the Say What? project.
1. Remember, you need:
1. You need to choose the domains/ranges you will use to make a story line. (Problem 1)
2. Decide what the x values represent and what the y values represent. Make up data tables and a graph for your story line. (Problem 2)
3. You can use the program suggested in Problem 3 to create a graph. If there are other programs you are more familiar with, you can use those. Excel and similar spreadsheet based programs can create graphs.
4. Problem 4 asks you to find the equation of the lines you have graphed.
5. Write your story line and algebraic question. (This is your opportunity to be creative and maybe even make light of some of the algebra questions you have come across.)
6. Prepare an oral presentation. You will want to have visual aids to present as well, for example, a poster with your graphs.

Lesson 87

1. Continue working on the Say What? project. It is due tomorrow! Are you on track?
1. You will have a written and an oral presentation of your findings.
2. Read the rubric. You will score up to 8 points; 4 for the written content, and 4 for the oral presentation.
1. You need to choose the domains/ranges you will use to make a story line. (Problem 1)
2. Decide what the x values represent and what the y values represent. Make up data tables and a graph for your story line. (Problem 2)
3. You can use the program suggested in Problem 3 to create a graph. If there are other programs you are more familiar with, you can use those. Excel and similar spreadsheet based programs can create graphs.
4. Problem 4 asks you to find the equation of the lines you have graphed.
5. Write your story line and algebraic question. (This is your opportunity to be creative and maybe even make light of some of the algebra questions you have come across.)
6. Prepare an oral presentation. You will want to have visual aids to present as well, such as a poster with your graphs.

Lesson 88

1. The Say What? project is due today.
2. Score the written content and the oral presentation using the rubric provided in the project. The maximum points for this is 8 points (4 for the written content, and 4 for the oral presentation).
3. Give yourself 10 points for completing this assignment on time.
4. Record your score out of 18.

Lesson 89

1. Do these three sets of review exercises. Work to get a perfect score. Use the links to go over the material again if necessary.
• review from solving and graphing absolute value inequalities
• review from solving for intercepts of linear functions
• review from proportional functions

Lesson 90

1. Do these three sets of review exercises. Work to get a perfect score. Use the links to go over the material again if necessary. Topics: Non-linear functions, perpendicular lines, solving and graphing linear inequalities in two variables

STOP

Time for a report card and portfolio/records updating.

Portfolio/records: In your portfolio, you should include a couple of your assignments from this quarter. You could take screen shots of different quizzes/exercises. Keep any written work. Keep your papers neat.

Divide your score by total possible. Move the decimal point over two places to the right. In the next box over, write the number in front of the decimal (something between 1 and 100). This is your percent grade. In the next box over write your letter grade. Anything starting with a 9 is an A. Anything starting with an 8 is a B. Anything starting with a 7 is a C and so forth. If you have everything perfect, then your grade is 100. That’s an A too.

Your goal is to get an A for the course at the end of the year. Go back and look at where you lost points. What can you do to avoid losing those points in the next quarter?

Lesson 91(*)

1. (*)Print out your next third quarter grading sheet or use the Excel version.
2. Watch the presentation for the rules of exponents. Use the worked examples and topic text to help you.
3. Complete the practice.
4. Record your score out of 6 for the practice problems. You get a point for any you get correct before it shows you the answer.

Lesson 92

1. Do the review from the rules of exponents.
2. Record your score out of 5.
3. Review as directed if you missed any. Then you may retake the review at this point for a new score.
4. Have some more practice.
5. Play “What’s More?“ Do 15 levels.

Lesson 93

1. Do the warm-up and presentation for scientific notation. Use the worked examples and topic text to help you.
2. Complete the practice.
3. Record your score out of 6 for the practice problems. You get a point for any you get correct before it shows you the answer. Divide the total by two.

Lesson 94

1. Do the review from scientific notation.
2. Record your score out of 5.
3. Review as directed if you missed any. Then you may retake the review at this point for a new score. No cheating. Solve each problem completely and correctly for the half point extra.
4. Can you do these scientific notation problems?
5. Play system solver. Choose level 3 and do at least three rounds.

Lesson 95

1. Do the warm-up and presentation for simplifying expressions with exponents. Use the worked examples and topic text to help you.
2. Complete the practice.
3. Record your score out of 6 for the practice problems. You get a point for any you get correct before it shows you the answer. Divide the total by two.

Lesson 96

1. Do the review from simplifying expressions with exponents.
2. Record your score out of 5.
3. Review as directed if you missed any. Then you may retake the review at this point for a new score.
4. Find the like terms.
5. Solve the equations.

Lesson 97*

1. *Print out this worksheet to take notes while watching the video on the Pythagorean Theorem.
2. Take the quiz.
3. Record your score out of 10. (Take two points off for any incorrect.)

Lesson 98

1. Do the warm-up and presentation for applications of the Pythagorean Theorem. Use the worked examples and topic text to help you.
2. Complete the practice.
3. Record your score out of 6 for the practice problems. You get a point for any you get correct before it shows you the answer. Divide the total by two.

Lesson 99

1. Do the review from applications of the Pythagorean Theorem.
2. Record your score out of 5.
3. Review as directed if you missed any. Then you may retake the review at this point for a new score.
4. Solve the inequalities.

Lesson 100

1. Do the warm-up and presentation for simplifying radical expressions. Use the worked examples and topic text to help you.
2. Complete the practice.
3. Record your score out of 6 for the practice problems. You get a point for any you get correct before it shows you the answer. Divide the total by two.

Lesson 101

1. Do the review from simplifying radical expressions.
2. Record your score out of 5.
3. Review as directed if you missed any. Then you may retake the review at this point for a new score.
4. Do the absolute value inequality problems.

Lesson 102

1. Do the warm-up and presentation for solving radical equations. Use the worked examples and topic text to help you.
2. Complete the practice.
3. Record your score out of 6 for the practice problems. You get a point for any you get correct before it shows you the answer. Divide the total by two.

Lesson 103

1. Do the review from solving radical equations.
2. Record your score out of 5.
3. Review as directed if you missed any. Then you may retake the review at this point for a new score.
4. Find the slope.

Lesson 104

1. Do the warm-up and presentation for applying radical equations. Use the worked examples and topic text to help you.
2. Complete the practice.
3. Record your score out of 6 for the practice problems. You get a point for any you get correct before it shows you the answer. Divide the total by two.

Lesson 105

1. Do the review from applying radical equations.
2. Record your score out of 5.
3. Review as directed if you missed any. Then you may retake the review at this point for a new score.
4. Play with these graphs and observe.
5. Now play with the straight line graph calculator.

Lesson 106

1. Do the warm-up and presentation for fractional exponents. Use the worked examples and topic text to help you.
2. Complete the practice.
3. Record your score out of 6 for the practice problems. You get a point for any you get correct before it shows you the answer. Divide the total by two.

Lesson 107

1. Do the review from fractional exponents.
2. Record your score out of 5.
3. Review as directed if you missed any. Then you may retake the review at this point for a new score.
4. Play with this geometric proof of the Pythagorean Theorem. What does it show?

Lesson 108

1. Complete the tutoring simulation on calculating miles.

Lesson 109 (Materials: tape measure)

1. Select three rectangles to measure. After measuring the length and width of each, use the Pythagorean Theorem to calculate the length of the diagonal. Then measure the actual distance of the diagonal. How accurate were your calculations compared to your measurements?
2. Choose at least two bigger rectangles like a table or door. (Don’t just do three books.) Make sure you are able to measure the diagonal. You could use string to measure and then measure the string. (This activity idea is from the NROC course.)
3. Score up to 6 for three measurements and three calculations.
4. Record your score out of 6.

Lesson 110*

1. *Print a bubble answer sheet if you don’t have one already.
2. You have 20 minutes to do these PSAT practice problems: set 1 and set 2.
3. Get the timer ready and then begin.

Lesson 111*

1. *Print a bubble answer sheet if you don’t have one already.
2. You have 20 minutes to do these PSAT practice problems: set 1 and set 2.
3. Get the timer ready and then begin.

Lesson 112

1. What does mono mean?
2. Do the warm-up and presentation for multiplying and dividing monomials. Use the worked examples and topic text to help you.
3. Complete the practice.
4. Record your score out of 6 for the practice problems. You get a point for any you get correct before it shows you the answer. Divide the total by two.

Lesson 113

1. Do the review from multiplying and dividing monomials.
2. Record your score out of 5.
3. Review as directed if you missed any. Then you may retake the review at this point for a new score.
4. Take a listen to this music. There are 16 counts, 16 beats. How many beats per minute? The page shows the amount of time for the clip as 11.813 seconds. Figure it out and then check your answer. (Answer: about 81)

Lesson 114

1. Do the warm-up and presentation for applications of the polynomials. Use the worked examples and topic text to help you.
2. Complete the practice.
3. Record your score out of 6 for the practice problems. You get a point for any you get correct before it shows you the answer. Divide the total by two.

Lesson 115

1. Do the review from applications of the polynomials.
2. Record your score out of 5.
3. Review as directed if you missed any. Then you may retake the review at this point for a new score.
4. Take the quiz on solving absolute value inequalities.
5. Record your score out of 5 for up to five correct answers.
6. Here’s a video to review if you need it.

Lesson 116

1. Do the warm-up and presentation for adding and subtracting polynomials. Use the worked examples and topic text to help you.
2. Complete the practice.
3. Record your score out of 6 for the practice problems. You get a point for any you get correct before it shows you the answer. Divide the total by two.

Lesson 117

1. Do the review from adding and subtracting polynomials.
2. Record your score out of 5.
3. Review as directed if you missed any. Then you may retake the review at this point for a new score.
4. Take the quiz on radical expressions.
5. Record your score out of 5. (potential for extra credit)
6. Here’s a video if you need review.

Lesson 118

1. Do the warm-up and presentation for multiplying polynomials. Use the worked examples and topic text to help you.
2. Complete the practice.
3. Record your score out of 6 for the practice problems. You get a point for any you get correct before it shows you the answer. Divide the total by two.

Lesson 119

1. Do the review from multiplying polynomials.
2. Record your score out of 5.
3. Review as directed if you missed any. Then you may retake the review at this point for a new score.
4. Play the exponent game.

Lesson 120

1. Do the warm-up and presentation for special products of polynomials. Use the worked examples and topic text to help you.
2. Complete the practice.
3. Record your score out of 6 for the practice problems. You get a point for any you get correct before it shows you the answer. Divide the total by two.

Lesson 121

1. Do the review from special products of polynomials.
2. Record your score out of 5.
3. Review as directed if you missed any. Then you may retake the review at this point for a new score.
4. Take the quiz on solving radical equations.
5. Here’s a video to review if you need it.

Lesson 122

1. Complete the tutoring session on Roman numerals and polynomials.

Lesson 123

1. Do the warm-up and presentation for factoring and the distributive property. Use the worked examples and topic text to help you.
2. Complete the practice.
3. Record your score out of 6 for the practice problems. You get a point for any you get correct before it shows you the answer. Divide the total by two.

Lesson 124

1. Do the review from factoring and the distributive property.
2. Record your score out of 5.
3. Review as directed if you missed any. Then you may retake the review at this point for a new score. You may add a half point for any newly correct answers if you can correctly solve them now and haven’t just cheated.
4. Play polynomials at bat. Read the directions.

Lesson 125

1. Do the warm-up and presentation for factoring trinomials by grouping 1. Use the worked examples and topic text to help you.
2. Complete the practice.
3. Record your score out of 6 for the practice problems. You get a point for any you get correct before it shows you the answer. Divide the total by two.

Lesson 126

1. Do the review from factoring trinomials by grouping 1.
2. Record your score out of 5.
3. Review as directed if you missed any. Then you may retake the review at this point for a new score.
4. Simplify the radicals. Do numbers 4-8 and score up to five points for up to five correct answers.
5. Record your score out of 5.
6. Here’s a video if you want review on this.

Lesson 127

1. Do the warm-up and presentation for factoring trinomials by grouping 2. Use the worked examples and topic text to help you.
2. Complete the practice.
3. Record your score out of 6 for the practice problems. You get a point for any you get correct before it shows you the answer. Divide the total by two.

Lesson 128

1. Do the review from factoring trinomials by grouping 2.
2. Record your score out of 5.
3. Review as directed if you missed any. Then you may retake the review at this point for a new score.
5. Here’s a video if you want review.

Lesson 129

1. Do the warm-up and presentation for factoring by special products. Use the worked examples and topic text to help you.
2. Complete the practice.
3. Record your score out of 6 for the practice problems. You get a point for any you get correct before it shows you the answer. Divide the total by two.

Lesson 130

1. Do the review from multiplying polynomials.
2. Record your score out of 5.
3. Review as directed if you missed any. Then you may retake the review at this point for a new score.
4. Take the quiz and multiply the binomials.
5. Record your score out of 5. (1/2 point for each question)
6. Here’s a video if you need the review.

Lesson 131

1. Do the warm-up and presentation for solving quadratic equations by factoring. Use the worked examples and topic text to help you.
2. Complete the practice.
3. Record your score out of 6 for the practice problems. You get a point for any you get correct before it shows you the answer. Divide the total by two.

Lesson 132

1. Do the review from solving quadratic equations by factoring.
2. Record your score out of 5.
3. Review as directed if you missed any. Then you may retake the review at this point for a new score.
4. Play Match the Factors.

Lesson 133

1. Complete the tutoring session on perfecting the long kick in soccer.

Lesson 134

1. You’ve finished another grading period. Let’s do another review. There will be a final exam at the end of the course.
2. Do these three sets of review exercises. Work to get a perfect score. Use the links to go over the material again if necessary.
• review from solving for linear functions.
• review from applying radical equations
• review from applications of the Pythagorean Theorem.

Lesson 135

1. Do these three sets of review exercises. Work to get a perfect score. Use the links to go over the material again if necessary.
• review from solving for slope form and standard form
• review from rate problems
• review from the rules of exponents.

STOP

Time for a report card and portfolio/records updating.

Portfolio/records: In your portfolio you should include a couple of your assignments from this quarter. You could take screen shots of different quizzes/exercises. Keep any written work. Keep your papers neat.

Divide your score by total possible. Move the decimal point over two places to the right. In the next box over, write the number in front of the decimal (something between 1 and 100). This is your percent grade. In the next box over write your letter grade. Anything starting with a 9 is an A. Anything starting with an 8 is a B. Anything starting with a 7 is a C and so forth. If you have everything perfect, then your grade is 100. That’s an A too.

Your goal is to get an A for the course at the end of the year. Go back and look at where you lost points. What can you do to avoid losing those points in the next quarter?

Lesson 136(*)*

1. (*)Print out your fourth quarter grading sheet or use the Excel version.
2. Do the warm-up and presentation for graphing quadratic equations. Use the worked examples and topic text to help you.
3. *Do you need more graph paper?
4. Complete the practice.
5. Record your score out of 6 for the practice problems. You get a point for any you get correct before it shows you the answer. Divide the total by two.

Lesson 137

1. Do the review from graphing quadratic equations.
2. Record your score out of 5.
3. Review as directed if you missed any. Then you may retake the review at this point for a new score. You may add a half point for any newly correct answers if you can correctly solve them now and haven’t just cheated.
4. Find the equation of the line. (The slope is rise/run. Say, “Rise over run, we’re gonna have fun.” ‘Cause math is fun like that.)

Lesson 138

1. Do the warm-up and presentation for solving quadratic equations by completing the square. Use the worked examples and topic text to help you.
2. Complete the practice.
3. Record your score out of 6 for the practice problems. You get a point for any you get correct before it shows you the answer. Divide the total by two.

Lesson 139

1. Do the review from solving quadratic equations by completing the square.
2. Record your score out of 5.
3. Review as directed if you missed any. Then you may retake the review at this point for a new score.
4. Take the quiz on factoring the differences of squares.
5. Record your score out of 5 for up to five correct answers.
6. Here’s a video if you need review.

Lesson 140

1. Do the warm-up and presentation for solving quadratic equations using the quadratic formula. Use the worked examples and topic text to help you.
2. Complete the practice.
3. Record your score out of 6 for the practice problems. You get a point for any you get correct before it shows you the answer. Divide the total by two.

Lesson 141

1. Do the review from solving quadratic equations using the quadratic formula.
2. Record your score out of 5.
3. Review as directed if you missed any. Then you may retake the review at this point for a new score.
4. Take the quiz on factoring trinomials.
5. Score up to 5 points for up to five correct answers.
6. Record your score out of 5.
7. Here’s a video if you need review.

Lesson 142

1. Do the warm-up and presentation for applications of quadratic functions. Use the worked examples and topic text to help you.
2. Complete the practice.
3. Record your score out of 6 for the practice problems. You get a point for any you get correct before it shows you the answer. Divide the total by two.

Lesson 143

1. Do the review from applications of quadratic functions.
2. Record your score out of 5.
3. Review as directed if you missed any. Then you may retake the review at this point for a new score.
4. Take the quiz on factoring perfect square trinomials.
5. Record your score out of 5. (1/2 point for each question)
6. Here’s a video if you want review.

Lesson 144

1. Do the warm-up and presentation for systems of non-linear equations. Use the worked examples and topic text to help you.
2. Complete the practice.
3. Record your score out of 6 for the practice problems. You get a point for any you get correct before it shows you the answer. Divide the total by two.

Lesson 145

1. Do the review from systems of non-linear equations.
2. Record your score out of 5.
3. Review as directed if you missed any. Then you may retake the review at this point for a new score.
4. Take another quiz on factoring trinomials.
5. Record your score out of 5 for up to five correct answers.
6. Here’s a video if you want review.

Lesson 146

1. Complete the tutoring session on rocket trajectory.
2. Video break.

Lesson 147

1. Do the warm-up and presentation for simplifying rational expressions. Use the worked examples and topic text to help you.
2. Complete the practice.
3. Record your score out of 6 for the practice problems. You get a point for any you get correct before it shows you the answer. Divide the total by two.

Lesson 148

1. Do the review from simplifying rational expressions.
2. Record your score out of 5.
3. Review as directed if you missed any. Then you may retake the review at this point for a new score. You may add a half point for any newly correct answers if you can correctly solve them now and haven’t just cheated.
4. Play Jeopardy just choose the first column, simplifying rational expressions.

Lesson 149

1. Do the warm-up and presentation for multiplying and dividing rational expressions. Use the worked examples and topic text to help you.
2. Complete the practice.
3. Record your score out of 6 for the practice problems. You get a point for any you get correct before it shows you the answer. Divide the total by two.

Lesson 150

1. Do the review from multiplying and dividing rational expressions.
2. Record your score out of 5.
3. Review as directed if you missed any. Then you may retake the review at this point for a new score.
4. Take the quiz on the quadratic formula.
5. Record your score out of 5 for up to give correct answers.
6. Here’s a video if you want review.

Lesson 151

1. Do the warm-up and presentation for adding and subtracting rational expressions. Use the worked examples and topic text to help you.
2. Complete the practice.
3. Record your score out of 6 for the practice problems. You get a point for any you get correct before it shows you the answer. Divide the total by two.

Lesson 152

1. Do the review from adding and subtracting rational expressions.
2. Record your score out of 5.
3. Review as directed if you missed any. Then you may retake the review at this point for a new score.
4. Take the quiz on parabolas.
5. Record your score out of 5 for up to five correct answers.
6. Here’s a video if you want review.

Lesson 153

1. Do the warm-up and presentation for solving rational equations. Use the worked examples and topic text to help you.
2. Complete the practice.
3. Record your score out of 6 for the practice problems. You get a point for any you get correct before it shows you the answer. Divide the total by two.

Lesson 154

1. Do the review from solving rational equations.
2. Record your score out of 5.
3. Review as directed if you missed any. Then you may retake the review at this point for a new score.
4. Take the quiz on completing the square.
5. Score up to 5 points for up to five correct answers.
6. Record your score out of 5.
7. Here’s a video if you want review

Lesson 155

1. Do the warm-up and presentation for applying rational expressions. Use the worked examples and topic text to help you.
2. Complete the practice.
3. Record your score out of 6 for the practice problems. You get a point for any you get correct before it shows you the answer. Divide the total by two.

Lesson 156

1. Review with the topic text.
2. Do the review from applying rational expressions.
3. Record your score out of 5.
4. Review as directed if you missed any. Then you may retake the review at this point for a new score.

Lesson 157

1. Complete the tutoring session on conserving water.

Lesson 158

1. Do the warm-up and presentation for number sets. Use the worked examples and topic text to help you.
2. Complete the practice.
3. Record your score out of 6 for the practice problems. You get a point for any you get correct before it shows you the answer. Divide the total by two.

Lesson 159

1. Do the review from number sets.
2. Record your score out of 5.
3. Review as directed if you missed any. Then you may retake the review at this point for a new score. You may add a half point for any newly correct answers if you can correctly solve them now and haven’t just cheated.
4. Solve this puzzle. Which two of these painters working together would paint the room in three hours?
1. Peter paints a room in 5 hours.
2. Paul paints it in 6 hours.
3. Neil paints it in 7.5 hours.
4. Mary paints it in 3.75 hours.
5. (This puzzle is from NROC algebra course. Hint: If it takes Bob 3 hours to paint a room and it takes Jeff 5 hours to paint the same room, how many hours would it take if the two painters work together? Many students will attempt to take an average and come up with an answer of 4 hours, but 4 hours doesn’t make sense. Why would it take longer than Bob working alone? Surely the two painters would complete the room in less than 3 hours. Find the rate at which each painter paints.)
6. Answer: (Peter and Neil, 1/5 per hour + 2/15 per hour = 1/3 of a room per hour or 1 room per three hours)

Lesson 160

1. Do the warm-up and presentation for understanding logical statements. Use the worked examples and topic text to help you.
2. Complete the practice.
3. Record your score out of 6 for the practice problems. You get a point for any you get correct before it shows you the answer. Divide the total by two.

Lesson 161

1. Do the review from understanding logical statements.
2. Record your score out of 5.
3. Review as directed if you missed any. Then you may retake the review at this point for a new score.

Lesson 162

1. Do the warm-up and presentation for inductive reasoning. Use the worked examples and topic text to help you.
2. Complete the practice.
3. Record your score out of 6 for the practice problems. You get a point for any you get correct before it shows you the answer. Divide the total by two.

Lesson 163

1. Do the review from inductive reasoning.
2. Record your score out of 5.
3. Review as directed if you missed any. Then you may retake the review at this point for a new score.
4. Take the quiz on the properties of numbers. No grade.

Lesson 164

1. Do the warm-up and presentation for deductive reasoning. Use the worked examples and topic text to help you.
2. Complete the practice.
3. Record your score out of 6 for the practice problems. You get a point for any you get correct before it shows you the answer. Divide the total by two.

Lesson 165

1. Do the review from deductive reasoning.
2. Record your score out of 5.
3. Review as directed if you missed any. Then you may retake the review at this point for a new score.

Lesson 166

1. Do the warm-up and presentation for events and outcomes. Use the worked examples and topic text to help you.
2. Complete the practice.
3. Record your score out of 6 for the practice problems. You get a point for any you get correct before it shows you the answer. Divide the total by two.

Lesson 167

1. Do the review from events and outcomes.
2. Record your score out of 5.
3. Review as directed if you missed any. Then you may retake the review at this point for a new score.
4. Play Bargain Time. If you are ever on Let’s Make a Deal and you have three doors to choose from to find a prize, did you know you should always switch your choice? Why? Play with probability.

Lesson 168

1. Do the warm-up and presentation for probability of independent events. Use the worked examples and topic text to help you.
2. Complete the practice.
3. Record your score out of 6 for the practice problems. You get a point for any you get correct before it shows you the answer. Divide the total by two.

Lesson 169

1. Do the review from probability of independent events.
2. Record your score out of 5.
3. Review as directed if you missed any. Then you may retake the review at this point for a new score.
4. Play Probability Fair.

Lesson 170

1. Do the warm-up and presentation for permutations and combinations. Use the worked examples and topic text to help you.
2. Complete the practice.
3. Record your score out of 6 for the practice problems. You get a point for any you get correct before it shows you the answer. Divide the total by two.

Lesson 171

1. Do the review from permutations and combinations.
2. Record your score out of 5.
3. Review as directed if you missed any. Then you may retake the review at this point for a new score.
4. Your final will be on Lesson 180. Here’s a study packet for you. It covers a few things we didn’t, so don’t worry about those. Don’t worry about those. Also, probability will not be on your final.

Lesson 172

1. Do the warm-up and presentation for probability of dependent events. Use the worked examples and topic text to help you. (Note: The answer for “probability that both are hearts” question in 3 is not a fully reduced fraction.)
2. Complete the practice.
3. Record your score out of 6 for the practice problems. You get a point for any you get correct before it shows you the answer. Divide the total by two.

Lesson 173

1. Do the review from probability of dependent events.
2. Record your score out of 5.
3. Review as directed if you missed any. Then you may retake the review at this point for a new score.
4. Keep reviewing for the final.

Lesson 174

1. Complete the tutoring session on probability game design.

Lesson 175(*)

1. I think that this video will provide a good review of functions and relations.
2. *You can take notes on this worksheet as you watch.
3. Take the quiz. No grade.

Lesson 176

1. You can use this test as an example of your final. Only work on problems through number 42. The answers are at the end.

Lesson 177

1. This is a good place for review. You can try the problems on the worksheets and then watch the videos if necessary in order to see the answers, or try the quizzes if you think you got it.
2. If that link ever stops working, here are those same videos on YouTube.

Lesson 178

1. You’ve got videos, a study packet and all the resources in this course. Study!

Lesson 179

1. You’ve got videos, a study packet and all the resources in this course. Study!

Lesson 180*

2. Take your final exam. Do through number 45.
5. Record your score out of 50.
6. You can include this test in your portfolio.
• four quarters total: 126 + 115 + 110 + 233 = 584 (sample numbers, not reflective of this course)
• dividing by total possible 584 669 = .87 * 100 = 87%
• dividing in half for being worth half the grade: 44%
• 100% completion of daily assignments, readings, homework, etc.
• Half of that 100% for being worth half of the final grade: 50%
• Final grade would be: 50 + 44 = 94%, A

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