Algebra 1 (2023 Update)

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Credits: 1

Prerequisite: Pre-algebra

Recommended: 8th, 9th

Test Prep: PSATSAT

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.

We do know of an algebra course that has a Spanish translation for its lesson text. There are two parts to the Algebra 1 course. You could use it, or you could use this to look up any extra help on a topic. The links will give you a list of topics.

Materials:

Books

Go here to learn about:

  • the OFFLINE course books (Workbook + Answers)

 

 

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.
  2. This course has an offline option. If you’d like to be able to work offline, check that out. Learn about offline book options here. We do have an OPTIONAL quiz book. If you like the idea of a daily quiz so you have a record of written work and a “real” grade for each day, you can buy the quiz book and use it daily. You can find it on the same link as the other books for Algebra 1. The grading sheets for the course do not reflect daily quiz grades.
  3. *Print out your first quarter grading sheet. Save this sheet and record your scores.
  4. Lesson – Order of operations
    • Then do the practice questions at the bottom.
  5. Practice – PEMDAS  (alternate link for mobile devices) Click on the two numbers and the operator (the operator is the sign like plus, minus, divide, multiply) you want to use first. Then turn the dial to the answer.
  6. Each day you will record up to five points for completing the day’s work. Complete the assignments, check your work, and figure out your mistakes.

Lesson 2

  1. Lesson – Evaluate algebraic expressions
  2. Practice – Do the odd numbers in Exercise 2.1.5 and Exercise 2.1.6 at the bottom of the page.
  3. Lesson – Simplify algebraic expressions
  4. Practice – Do the odd numbers #1 ~ #19 in Exercise 2.2.8 at the bottom of the page.
  5. Record up to 5 points for completion.

Solving Linear Equations

Lesson 3

  1. Lesson – Solve one- and two-step linear equations. Study 1 through 4.
  2. Examples – Here are more examples if you need them.
    • Throughout this course, if you understand the lesson, you don’t need to go through the extra examples. Use your time wisely while making sure you understand the lesson thoroughly.
  3. Practice – Solve one-step linear equations, Odd numbers 1-19
  4. Practice – Solve two-step linear equations, Odd numbers 1-19
  5. Record up to 5 points for completion.

Lesson 4

  1. Lesson – Solve linear equations using the distributive property
  2. Lesson – Solve linear equations with variables on both sides
  3. Practice – Odd numbers 1-29
  4. Record up to 5 points for completion.

Decimals

Lesson 5

  1. Lesson – Solve linear equations with fractions and decimals
  2. Practice – Do the odd numbers 1-29 in Exercise 2.4.5 at the bottom of the page.
    • Answer correction note for #19, highlight to read (x = 1/41 not -5/2 )
  3. Record up to 5 points for completion.

Lesson 6

  1. Lesson – Solve absolute value equations. Do the Warm up, Presentation, and Worked Examples
      • There is usually more than one worked example and you should study them all.
      • You can read the Topic Text instead of watching the Worked Examples if you prefer reading.
  2. Examples – here are more examples if you need them.
  3. Practice –Odd numbers #1 ~ #27
    • Worked-out answers  to use to check when you are finished. Make sure you understand what you got wrong.
  4. Record up to 5 points for completion.

Lesson 7

  1. Practice – Solve multi-step linear equations, Odd numbers in Exercise 2.4.6.
  2. Practice – Solve absolute value equations, Odd numbers
  3. Record up to 5 points for completion.

Lesson 8

  1. Lesson – Determine the number of solutions to linear equations
  2. Practice – Determine the number of solutions to linear equations
  3. Practice – Determine the number of solutions to linear equations (challenge)
  4. Practice – Multi-step linear equations
  5. Record up to 5 points for completion.

Lesson 9

  1. Lesson – Linear equations word problems, Examples 1, 2, 3, 5, 6
  2. Practice – Exercise 2.5.6, Exercise 2.5.7, Exercise 2.5.8. Do at least three odd problems in each exercise. Study the examples on the page if you need more help.
  3. Record up to 5 points for completion.

Lesson 10

  1. Lesson – Distance word problems
  2. Practice – Distance word problems
    • These problems in this lesson and in lesson 11 you may find hard. It’s not worth struggling to the point of frustration. This is your first time seeing it. You’ll get it better next time. If it’s a struggle, just work them through, writing them out, with the answers.
    • The answers are on the page for you to check, but here are worked out solutions to help you.
  3. Record up to 5 points for completion.

Lesson 11

  1. Lesson – Mixture Word Problems
  2. Examples – Study the examples carefully
  3. Examples – Examples 7 and 8 need a little more thinking.
  4. Practice – Mixture word problems
    • These problems in this lesson you may find hard. It’s not worth struggling to the point of frustration. You’ll see the topic revisited later. If it’s a struggle, just work them through, writing them out, with the answers.
  5. Record up to 5 points for completion.

Lesson 12

  1. Lesson – Solve equations and formulas for a specific variable. Do the Warm up, Presentation, and Worked Examples.
  2. Practice – Do the Practice and Review on the link above.
  3. Record up to 5 points for completion.

Lesson 13

  1. Catch up if you are behind. Review lessons that caused you trouble.
  2. If you don’t need to catch up, review the section Solving Linear Equations. Here are activities you can use:

Graphing Lines

Lesson 14

  1. *Print out graph paper. You can print out several pages and hold onto them. This link is also in the materials list at the top of the course page.
  2. Lesson – Graph lines by plotting points
  3. Practice – Exercise 3.2.7, Exercise 3.2.8, Exercise 3.2.9 (odd numbers) at the bottom of the page
  4. Record up to 5 points for completion.

Lesson 15

  1. Lesson – Find the slope from a graph. Do the Warm up, Presentation, and Worked Examples.
  2. Practice – Do the Practice and Review on the link above.
  3. Record up to 5 points for completion.

Lesson 16

  1. Lesson – Graph linear equations in slope-intercept form. Do the Warm up, Presentation, and Worked Examples
  2. Practice – Do all problems.
  3. Practice – Do the Review on the first link above.
  4. Record up to 5 points for completion.

Lesson 17

  1. Lesson – Graph linear equations in standard form
  2. Practice – Do problems 15-20 and 31-42
  3. Record up to 5 points for completion.

Lesson 18

  1. Lesson – Graph linear equations using intercepts. Do the Warm up, Presentation, and Worked Examples.
  2. Practice – Graph linear equations in standard form
  3. Practice – Do the Review on the first link above.
  4. Record up to 5 points for completion.

Lesson 19

  1. Review – Graphing linear equations
  2. Lesson – Horizontal and vertical lines, Read OR Watch
  3. Practice – Horizontal and vertical lines
  4. Lesson – Parallel lines. Do the Warm up, Presentation, and Worked Examples
  5. Lesson – Perpendicular lines. Do the Warm up, Presentation, and Worked Examples
  6. Practice – Do the Review.
  7. Practice – Do the Review.
  8. Record up to 5 points for completion.

Lesson 20

  1. Lesson – Graph absolute value equations by plotting points
  2. Practice – Graph absolute value equations
  3. Record up to 5 points for completion.

Lesson 21

  1. Catch up if you are behind. Review lessons that caused you trouble.
  2. If you don’t need to catch up, review the section Graphing Lines. Here are activities you can use:

Finding Equations of Lines

Lesson 22

  1. Review – Graph linear equations in slope-intercept form
  2. Lesson – Write linear equations given a graph
  3. Practice – Write linear equations given a graph.
  4. Practice– Write linear equations given a graph, Questions #9 ~ #14
  5. Record up to 5 points for completion.

Lesson 23

  1. Review (Lesson 19) – Finding slopes of parallel and perpendicular lines
  2. Lesson – Write linear equations given slope and a point
  3. Lesson – Write linear equations given two points
  4. Practice – Write linear equations given two points
  5. Practice – Write linear equations in slope-intercept form
  6. Record up to 5 points for completion.

Lesson 24

  1. Lesson – Write linear equations in point-slope form
  2. Practice– Do at least four odd problems in each section.
  3. Record up to 5 points for completion.

Lesson 25

  1. Lesson – Rewrite equations in standard form
  2. Lesson – Write linear equations in all forms
  3. Practice – Write linear equations in any form
  4. Practice – Write linear equations in all forms, 1-12, 17-20.
    • Answers  (Answer correction: #10 A  Should read – 7, not + 7)
  5. Record up to 5 points for completion.

Lesson 26

  1. Lesson – Write word problems in slope-intercept form
  2. Practice – Write and solve linear equations in slope-intercept form given a word problem
  3. Review (Lesson 21) – Rate of change and slope, Do the Practice.
  4. Record up to 5 points for completion.

Lesson 27

  1. Lesson – Write word problems in standard form
  2. Practice – Write and solve linear equations in standard form given a word problem
  3. Review (Lesson 23) – Write linear equations given horizontal or vertical lines and one point, Odd numbers #33 ~ #48
  4. Record up to 5 points for completion.

Lesson 28

  1. Catch up if you are behind. Review lessons that caused you trouble.
  2. If you don’t need to catch up, review the section Writing Linear Equations. Here are activities you can use:

Systems of Linear Equations

Lesson 29

  1. Lesson – Solve systems of linear equations by graphing. Do the Warm up, Presentation, and Worked Examples.
  2. Practice– Solve systems of linear equations by graphing, Odd numbers
  3. Record up to 5 points for completion.

Lesson 30

  1. Lesson – Solve systems of linear equations by substitution. Do the Warm up, Presentation, and Worked Examples.
  2. Practice – Odd numbers 1-30.
  3. Record up to 5 points for completion.

Lesson 31

  1. Lesson – Solve systems of linear equations by elimination. Do the Warm up, Presentation, and Worked Examples.
  2. Practice – Odd numbers 1-30.
  3. Record up to 5 points for completion.

Lesson 32

  1. Practice (Review) – Solve systems of linear equations by graphing
  2. Practice (Review)- Solve systems of linear equations by substitution
  3. Practice (Review)- Solve systems of linear equations by elimination
  4. Practice (Review)– Solve systems of linear equations using any method
  5. Record up to 5 points for completion.

Lesson 33

  1. Lesson – Number of solutions to systems of linear equations
  2. Practice – Find the number of solutions to a system of equations graphically
  3. Practice – Find the number of solutions to a system of equations algebraically
  4. Practice – Solve systems of linear equations using multiple methods. Do two problems in each section. Do all if you got any problem wrong.
  5. Record up to 5 points for completion.

Lesson 34

  1. Lesson – Basic problems
  2. Examples – Here are more examples if you need them.
  3. Practice – Do the two examples. Make sure that you try to do the problems without looking at the solutions. Check your answers. If you didn’t get them correct or if you looked at the solution to help you as you worked, then do another from the list in the box at the bottom of the page. Start with Systems problem about age. Work until you can complete them correctly without looking for help.
  4. Record up to 5 points for completion.

Lesson 35

  1. Lesson – Rate problems. Do the Warm up, Presentation, and Worked Examples.
  2. Examples – Read the Topic Text on the link above if you need them.
  3. Practice – Exercise 4.4.8 (odd numbers) at the bottom of the page. Study the examples on the page if you need more help.
  4. Practice – Do the Review on the first link above.
  5. Record up to 5 points for completion.

Lesson 36

  1. Lesson – Mixture problems. Do the Warm up, Presentation, and Worked Examples.
  2. Examples – Read the Topic Text on the link above for more examples.
  3. Practice – Exercise 4.4.7 (odd numbers) at the bottom of the page. Study the examples on the page if you need more help.
  4. Practice – Do the Review on the first link above.
  5. Record up to 5 points for completion.

Lesson 37

  1. Catch up if you are behind. Review lessons that caused you trouble.
  2. If you don’t need to catch up, review the section Systems of Linear Equations.

Linear Inequalities

Lesson 38

  1. Lesson – Solve and graph multi-step linear inequalities. Do the Warm up, Presentation, and Worked Examples.
  2. Practice – Do the Practice and Review on the link above.
  3. Record up to 5 points for completion.

Lesson 39

  1. Lesson – Solving and graphing compound inequalities
  2. Practice – odd numbers
  3. Record up to 5 points for completion.

Lesson 40

  1. Review (Lesson 6) – Solving absolute value equations, Do the Review.
  2. Lesson – Solve and graph absolute value inequalities. Do the Warm up, Presentation, and Worked Examples.
  3. Practice – Odd numbers
  4. Record up to 5 points for completion.

Lesson 41

  1. Lesson – Graph linear inequalities in two variables. Do the Warm up, Presentation, and Worked Examples.
  2. Practice – Graphing linear inequalities
  3. Record up to 5 points for completion.

Lesson 42

  1. Lesson – Graph systems of linear inequalities. Do the Warm up, Presentation, and Worked Examples.
  2. Practice – Graph systems of linear inequalities
  3. Record up to 5 points for completion.

Lesson 43

  1. Catch up if you are behind. Review lessons that caused you trouble.
  2. If you don’t need to catch up, review the section Linear Inequalities. Here are activities you can use:

Review & PSAT Practice

Lesson 44

  1. You’ve finished the first grading period. Let’s do a review.
  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.
  3. Record up to 5 points for completion.

Lesson 45

  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 Linear Inequalities in Two Variables
    • Review from Solving Systems by Substitution
    • Review from Solving Systems by Elimination
  2. Record up to 5 points for completion.
  3. Time for a report card and portfolio/records updating.
    • Calculate your grade for the first quarter. See your grading sheets for the details.
    • In your portfolio you should include a couple of your assignments from this quarter. You could take screenshots of different exercises. Keep all your written work. Keep your papers neat.

Lesson 46**

  1. *Print out your second quarter grading sheet. Save this sheet and record your scores.
  2. Take a look at sample questions (just to get a feel).
  3. *Print out a bubble answer sheet. (You need two for the whole course if you want to print two now and hold onto the second sheet.)
  4. Take a timed practice test.
    • This is a timed practice test. Get a timer, a bubble answer sheet, and blank sheets of paper for your calculations. When you are ready, set the timer for 25 minutes and begin. Do not use a calculator. Mark all your answers on the answer sheet. Only answers marked on the answer sheet can be scored. After the test, make sure you review what you missed.
    • Check your answers. Make sure you review the problems you got wrong.
  5. Record up to 5 points for completion.

Lesson 47

  1. *Print a bubble answer sheet if you don’t have one already.
  2. Take a timed practice test.
  3. Check your answers. Make sure you review the problems you got wrong.
  4. Record up to 5 points for completion.

Functions

Lesson 48

  1. Lesson – Representing Functions and Relations. Do the Warm up, Presentation, and Worked Examples.
  2. Practice – Basic function practice
  3. Review – Try some distance problems. Review Lesson 10 if you need help.
  4. Record up to 5 points for completion.

Lesson 49

  1. Lesson – Domain and range. Do the Warm up, Presentation, and Worked Examples.
  2. Practice – Domain, range, and function review. Review Lesson 11 if you need help.
  3. Review – Try some mixture problems
  4. Record up to 5 points for completion.

Lesson 50

  1. Lesson – Function notation and evaluating functions
  2. Practice – Evaluate functions in function notation
  3. Practice – Find the input of a function given the output (function notation)
  4. Practice – Evaluate function expressions from graphs
  5. Practice – Find the input of a function given the output from graphs
  6. Record up to 5 points for completion.

Lesson 51

  1. Lesson – Identify linear functions,
  2. Practice – Identify linear relationships
  3. Lesson – Write rules for functions from tables
  4. Practice – Write rules for linear functions given the table
  5. Record up to 5 points for completion.

Lesson 52

  1. Lesson – Graphs of linear, exponential, and quadratic functions
  2. Reference – Play with quadratic functions  and exponential functions
  3. Practice – Identifying the correct type of function by analyzing the graph
  4. Lesson – Comparing linear, exponential, and quadratic functions
  5. Practice – Identifying linear, exponential, and quadratic functions
  6. Record up to 5 points for completion.

Lesson 53

  1. Lesson – Average rate of change
  2. Practice – Average rate of change from tables & graphs
  3. Practice – Average rate of change word problems (from function equations)
  4. Practice – Average rate of change
  5. Record up to 5 points for completion.

Lesson 54

  1. Lesson – Introduction to inverse functions
  2. Lesson – Graphing the inverse of a linear function
  3. Practice – Evaluate inverse functions
  4. Lesson – Finding inverse of linear functions algebraically
  5. Practice – Find inverses of linear functions algebraically
  6. Practice – Find inverses of linear functions algebraically, Odd numbers
  7. Record up to 5 points for completion.

Lesson 55

  1. Catch up if you are behind. Review lessons that caused you trouble.
  2. If you don’t need to catch up, review the section Functions. Here are activities you can use:

Variation and Sequences

Lesson 56

  1. Lesson – Direct variation
  2. Practice – Solve word problems involving direct variation, Examples 8.9.1 through 8.9.12
  3. Practice – Direct variation
  4. Record up to 5 points for completion.

Lesson 57

  1. Lesson – Inverse variation
  2. Practice – Word problems involving inverse variation, Examples 8.9.13 through 8.9.21
  3. Practice – Direct and inverse variation
  4. Record up to 5 points for completion.

Lesson 58

  1. Lesson – Arithmetic sequences
  2. Practice – Questions #1 ~ #18
  3. Record up to 5 points for completion.

Lesson 59

  1. Lesson – Geometric sequences
  2. Practice – Classify as arithmetic or geometric
  3. Practice – Questions #1 ~ #10
  4. Record up to 5 points for completion.

Lesson 60

  1. Review – Explicit formulas for sequences
  2. Lesson – Recursive formulas
  3. Practice – Explicit and recursive formulas
  4. Practice – Write sequence formulas
  5. Record up to 5 points for completion.

Lesson 61

  1. Lesson – Sequence word problems
  2. Practice – Sequence word problems
  3. Practice – Sequence word problems
  4. Record up to 5 points for completion.

Lesson 62

  1. Catch up if you are behind. Review lessons that caused you trouble.
  2. If you don’t need to catch up, review the sections Variation and Sequences. Here are activities you can use:

Radicals

Lesson 63

  1. Lesson – square roots, cube roots, nth roots, Examples 1 ~ 7
  2. Practice – Find square roots
  3. Practice – Find square roots of decimals and fractions
  4. Practice – Find cube roots
  5. Practice – Find higher order roots, problems (Click green dots and work on all 9 problems.)
  6. Record up to 5 points for completion.

Lesson 64

  1. Lesson – Simplifying radicals
  2. Lesson – Simplifying radicals (another method using prime factorization)
  3. Practice – Simplify radicals using the product property
  4. Record up to 5 points for completion.

Lesson 65

  1. Lesson – Simplify radicals with variables. Do the Presentation, and Worked Examples.
  2. Examples – Here are more examples if you need them
  3. Practice – Do the Practice and Review on the first link above.
  4. Record up to 5 points for completion.

Lesson 66

  1. Lesson – Add and subtract radicals
  2. Practice – Add and subtract radicals, questions 1-20.
  3. Record up to 5 points for completion.

Lesson 67

  1. Lesson
    • Multiplying radicals, look at examples one through four
    • Dividing radicals, look at the examples on the top half of the page before it talks about simplifying radicals in the denominator
  2. Practice – Multiplying radicals, Questions 1 – 10
  3. Lesson – Removing radicals from the denominator
  4. Practice – Dividing radicals, Questions 1 – 10
  5. Record up to 5 points for completion.

Lesson 68

  1. Lesson – Solve radical equations. Do the Warm up, Presentation, and Worked Examples.
  2. Examples – 1, 7, and 8 only
  3. Practice – Do the Practice and Review on the first link above.
  4. Record up to 5 points for completion.

Lesson 69

  1. Lesson – Applications of radicals
    • Do the Practice as well.
  2. Lesson – Applications of radical equations
    • Do the Practice as well.
  3. Record up to 5 points for completion.

Lesson 70

  1. Catch up if you are behind. Review lessons that caused you trouble.
  2. If you don’t need to catch up, review the section Radicals. Here are activities you can use:

Exponents

Lesson 71

  1. Lesson – Zero and negative exponents
  2. Practice – Do the questions at the bottom of the page
  3. Practice – Evaluate negative exponents (with variables)
  4. Record up to 5 points for completion.

Lesson 72

  1. Lesson – Multiplying and dividing powers
  2. Practice – Product/Quotient Rules, Problems 1 – 10 and 21 – 30
  3. Record up to 5 points for completion.

Lesson 73

  1. Lesson – Powers of products and quotients
  2. Practice – Power rules
  3. Practice – Power rules, Problems 11 – 20
  4. Challenge – Properties of exponents
  5. Record up to 5 points for completion.

Lesson 74

  1. Review – Exponents rules
  2. Practice – Try the matching activity.
  3. Practice – Simplify algebraic expressions with exponents, odd problems
  4. Record up to 5 points for completion.

Lesson 75

  1. Lesson – Introducing scientific notation
  2. Practice – Converting
  3. Lesson – Multiply and divide with scientific notation
  4. Practice – Multiplying and dividing
  5. Reference – Real life examples of scientific notation
  6. Record up to 5 points for completion.

Lesson 76

  1. Lesson – Fractional exponents
  2. Practice – Odd numbers
  3. Practice – Evaluate numerical expressions with fractional exponents
  4. Record up to 5 points for completion.

Lesson 77

  1. Lesson – Simplify rational exponents, Examples 1 – 12 & 14 – 16
  2. Practice– Do the odd numbers in Exercise 8.5.7 and Exercise 8.5.8 at the bottom of the link above.
  3. Record up to 5 points for completion.

Lesson 78

  1. Lesson – Exponential growth functions
  2. Lesson – Exponential decay functions
  3. Practice – Identifying exponential growth and decay
  4. Practice – Graphing exponential growth and decay
  5. Practice – Writing functions with exponential growth (word problem)
  6. Practice – Writing functions with exponential decay (word problem)
  7. Record up to 5 points for completion.

Lesson 79

  1. Catch up if you are behind. Review lessons that caused you trouble.
  2. If you don’t need to catch up, review the section Exponents. Here are activities you can use:

Polynomials

Lesson 80

  1. Lesson – Introduction to polynomials, Read
  2. Practice – Introduction to polynomials
  3. Lesson – Add and subtract polynomials
  4. Practice – Add and subtract polynomials
  5. Record up to 5 points for completion.

Lesson 81

  1. Lesson – Multiply polynomials by monomials
  2. Practice – Multiply polynomials by monomials
  3. Lesson – Multiply binomials by binomials
  4. Practice – Multiply binomials by binomials
  5. Record up to 5 points for completion.

Lesson 82

  1. Lesson – Multiply polynomials
    • There are several ways of multiplying polynomials. Check these examples out. You can use whichever method you like.
  2. Practice – Multiply polynomials
  3. Lesson – Multiplying monomials by polynomials (area model)
  4. Practice – Multiplying monomials by polynomials (area model)
  5. Practice – Multiplying binomials by polynomials (area model)
  6. Record up to 5 points for completion.

Lesson 83

  1. Lesson – Special binomial products. Do the Warm up, Presentation, and Worked Examples.
  2. Practice – Odd numbers
  3. Record up to 5 points for completion.

Lesson 84

  1. Review – Multiplying binomials
  2. Review – Special binomial products
  3. Practice – Multiplying binomial
  4. Practice – Special binomial products, Odd numbers 1-19
  5. Record up to 5 points for completion.

Lesson 85

  1. Lesson – Divide polynomials by monomials
  2. Lesson – Divide polynomials using long division (no remainder)
    • Watch
    • Or, Read
    • Be sure you understand long division with numbers before working with polynomials. If you forgot, take time and review
  3. Practice – Divide polynomials (no remainder)
  4. Challenge – Dividing polynomials using long division (higher order polynomials, no remainder)
  5. Record up to 5 points for completion.

Lesson 86

  1. Lesson – Divide polynomials using long division (with/without a remainder)
  2. Practice – Dividing polynomials (remainder), Questions 1-15
  3. Record up to 5 points for completion.

Lesson 87

  1. Catch up if you are behind. Review lessons that caused you trouble.
  2. If you don’t need to catch up, review the section Polynomials. Here are activities you can use:

Review & PSAT Practice

Lesson 88

  1. You’ve finished the second grading period. Let’s do a review.
  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.
  3. Record up to 5 points for completion.

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.
  2. Record up to 5 points for completion.

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.
  2. Record up to 5 points for completion.
  3. Time for a report card and portfolio/records updating.
    • Calculate your grade for the second quarter. See your grading sheets for the details.
    • In your portfolio you should include a couple of your assignments from this quarter. You could take screen shots of different exercises. Keep all your written work. Keep your papers neat.

Lesson 91**

  1. *Print out your third quarter grading sheet. Save this sheet and record your scores.
  2. *Print a bubble answer sheet if you don’t have one already.
  3. Take a timed practice test.
  4. Check your answers. Make sure you review the problems you got wrong.
  5. Record up to 5 points for completion.

Lesson 92*

  1. *Print a bubble answer sheet if you don’t have one already.
  2. Take a timed practice test.
  3. Check your answers. Make sure you review the problems you got wrong.
  4. Record up to 5 points for completion.

Factoring Polynomials

Lesson 93

  1. Review – Multiply monomials by polynomials
  2. Lesson – Factoring polynomials using the GCF. Do the Warm up, Presentation, and Worked Examples.
  3. Examples – Examples 1 – 11
    • As a reminder, if you understand the lesson, you don’t need to go through the extra examples. Use your time wisely while making sure you understand the lesson thoroughly.
  4. Practice – Odd numbers
  5. Record up to 5 points for completion.

Lesson 94

  1. Review – Factoring polynomials using the GCF
  2. Lesson – Factoring polynomials by grouping
  3. Examples – Examples 12 – 17
  4. Practice – odd problems
    • Worked out Solutions to odd numbers (The third one has a typo. The first term in the question should be n cubed not n squared, as it is in the original problem.)
  5. Record up to 5 points for completion.

Lesson 95

  1. Review – Multiply binomials
  2. Lesson – Factoring quadratics of the form x2 + bx + c
  3. Examples – Examples 1 – 5
  4. Practice – Odd  problems 1-29
  5. Record up to 5 points for completion.

Lesson 96

  1. Lesson – Factoring simple quadratics with a common factor
  2. Practice – Factoring simple quadratics
  3. Practice – Factoring simple quadratics with a common factor
  4. Practice – Factoring simple quadratics, odd numbers
  5. Record up to 5 points for completion.

Lesson 97

  1. Lesson – Factoring quadratics of the form ax2 + bx + c by trial and error
  2. Examples – Examples 1 – 8
  3. Practice – Odd numbers
  4. Record up to 5 points for completion.

Lesson 98

  1. Lesson – Factoring quadratics of the form ax2 + bx + c by grouping. Do the Warm up, Presentation, and Worked Examples.
  2. Examples – Examples 9 – 10
  3. Practice – All problems
  4. Record up to 5 points for completion.

Lesson 99

  1. Lesson – Factoring special products. Do the Warm up, Presentation, and Worked Examples.
  2. Examples – Examples 1 – 5
  3. Practice – Factoring special cases, all problems
  4. Record up to 5 points for completion.

Lesson 100

  1. Review– Factoring quadratics in any form
  2. Practice – Factoring trinomials (a = 1)
  3. Practice – Factoring trinomials (a > 1). Do the practice.
  4. Lesson – Factoring quadratics with a negative common factor
  5. Practice – Factoring quadratics by grouping (+ with a negative common factor)
  6. Record up to 5 points for completion.

Lesson 101

  1. Lesson – Factoring polynomials completely
  2. Practice – Factoring polynomials completely, Odd numbers
  3. Record up to 5 points for completion.

Lesson 102

  1. Catch up if you are behind. Review lessons that caused you trouble.
  2. If you don’t need to catch up, review the section Factoring Polynomials. Here are activities you can use:

Solving Quadratic Equations

Lesson 103

  1. Lesson – Introduction to quadratic equations
  2. Lesson – Solving quadratics by taking square roots
  3. Examples – Examples 1 – 4
  4. Practice – Solving quadratics by taking square roots
  5. Record up to 5 points for completion.

Lesson 104

  1. Lesson – Solving quadratics by taking square roots
  2. Examples – Examples 6 – 7
  3. Practice – Solving quadratics by taking square roots, Questions 1 – 20
  4. Record up to 5 points for completion.

Lesson 105

  1. Lesson – Solving quadratics by factoring (a = 1)
  2. Examples – Examples 1 – 3
  3. Practice – Solving quadratics by factoring, questions 1-20
  4. Record up to 5 points for completion.

Lesson 106

  1. Lesson – Solving quadratics by factoring
  2. Examples – Examples 4 – 9
  3. Practice – Solving quadratics by factoring, questions 1-20
  4. Record up to 5 points for completion.

Lesson 107

  1. Lesson – Solving quadratics by completing the square (a = 1)
  2. Practice – Completing the square
  3. Practice – Rewriting expressions by completing the square
  4. Practice – Do #1-6. Solving quadratics by completing the square (a = 1)
  5. Record up to 5 points for completion.

Lesson 108

  1. Lesson – Solving quadratics by completing the square
  2. Examples – Example 7
  3. Practice – Completing the square
  4. Practice – Do #7-14. Solving quadratics by completing the square
  5. Record up to 5 points for completion.

Lesson 109

  1. Lesson – Quadratic formula
  2. Reference – Quadratic formula songs
    • Memorize this formula! The quadratic formula is one of the most important formulas that you will learn in Algebra.
  3. Practice – Solving quadratics in standard form
  4. Practice – Solving quadratics using the quadratic formula
  5. Record up to 5 points for completion.

Lesson 110

  1. Lesson – Deriving the quadratic formula
  2. Practice – Solving quadratics using the quadratic formula, all problems
  3. Record up to 5 points for completion.

Lesson 111

  1. Review – Ways to solve quadratics, First 4 methods
  2. Lesson – Strategy in solving quadratics
  3. Practice – Strategy in solving quadratics
  4. Practice – Solving quadratics by factoring
  5. Practice – Solving quadratics using any method, odd problems
  6. Record up to 5 points for completion.

Lesson 112

  1. Lesson – Number of solutions of quadratic equations
  2. Practice – Finding and interpreting the discriminant, Odd numbers 21-28
  3. Practice – Solving quadratics using any method, even problems
  4. Record up to 5 points for completion.

Lesson 113

  1. Review – Pythagorean theorem
  2. Lesson – Applications involving quadratics
  3. Practice – Applications involving quadratics
  4. Practice – Rectangle word problems, Odd numbers 1-15
  5. Record up to 5 points for completion.

Lesson 114

  1. Catch up if you are behind. Review lessons that caused you trouble.
  2. If you don’t need to catch up, review the section Solving Quadratic Equations. Here are activities you can use:

Graphing Parabolas

Lesson 115

  1. Lesson – Parabola intro
  2. Practice – Parabola intro
  3. Lesson – Graphing parabolas by plotting points using a table of values
  4. Practice
  5. Record up to 5 points for completion.

Lesson 116

  1. Review – Identify key features of parabolas
  2. Lesson – Graphing parabolas by plotting the vertex and additional points
  3. Practice – Find the axis of symmetry and vertex given a quadratic function
  4. Practice – Graphing parabolas by plotting the vertex and additional points (vertex + more points, not necessarily intercepts), Problems 1 – 6
  5. Record up to 5 points for completion.

Lesson 117

  1. Lesson – Introduction to vertex form
  2. Reference – Play with parabolas (vertex form)
  3. Practice – Follow the steps.
  4. Lesson – Graphing parabolas in vertex form (vertex + any two points)
  5. Practice – Graphing parabolas in vertex form (vertex + one point)
  6. Practice – Graphing parabolas in vertex form (vertex + key points),Odd problems
  7. Record up to 5 points for completion.

Lesson 118

  1. Lesson – Graphing quadratics in factored form (x-intercepts and vertex)
  2. Reference – Play with parabolas (intercept form)
  3. Practice
  4. Practice – Graphing quadratics in factored form
  5. Record up to 5 points for completion.

Lesson 119

  1. Lesson – Standard form to vertex form
  2. Lesson – Standard form to intercept form
  3. Practice – Graphing parabolas in standard form
  4. Practice– Graphing parabolas in standard form
  5. Record up to 5 points for completion.

Lesson 120

  1. Lesson –Forms and features of quadratic functions
  2. Practice – Features of quadratic functions (strategy)
  3. Lesson – Finding features of quadratic functions
  4. Practice – Features of quadratic functions
  5. Practice – Graphing parabolas in all forms, Odd numbers
    • Solution
    • ANSWER Correction for #9 (highlight to view): The graph is flipped. The vertex should be (1, -16). The y intercept at -15.
  6. Record up to 5 points for completion.

Lesson 121

  1. Lesson – Writing quadratic functions
  2. Practice – Finding equations in vertex form given a graph
  3. Practice – Finding equations in vertex form given a graph
  4. Practice – Find equations in all forms given a graph
  5. Record up to 5 points for completion.

Lesson 122

  1. Lesson – Introduction to parabola transformation
  2. Reference – Play with parabolas.
  3. Lesson – Shifting parabolas
  4. Practice – Shifting parabolas
  5. Lesson – Scaling and reflecting parabolas
  6. Practice – Scale & reflect parabolas
  7. Practice – Quadratic transformations. A parent function is the simplest function of a family of functions. The parent function of quadratic functions is f(x) = x^2. Compressing a parabola by a factor of 3 is the same as scaling the parabola by a factor of 1/3.
  8. Record up to 5 points for completion.

Lesson 123

  1. Lesson – Projectile (vertical) motion
  2. Examples – More examples
  3. Practice – Projectile motion
  4. Practice – Quadratics word problems
  5. Record up to 5 points for completion.

Lesson 124

  1. Catch up if you are behind. Review lessons that caused you trouble.
  2. If you don’t need to catch up, review the section Graphing Parabolas. Here are activities you can use:
  3. Record up to 5 points for completion.

Rational Expressions and Equations

Lesson 125

  1. Review – Factoring quadratics with a common factor
  2. Lesson – Simplifying rational expression. Do the Warm up, Presentation, and Worked Examples.
  3. Examples – Examples 1 – 11
  4. Practice – Simplifying rational expressions, Odd numbers
  5. Record up to 5 points for completion.

Lesson 126

  1. Review – Dividing fractions
  2. Lesson – Multiplying and dividing rational expressions. Do the Warm up, Presentation, and Worked Examples.
  3. Examples – Examples 1 – 11
  4. Practice – Dividing rational expressions, Odd numbers
  5. Record up to 5 points for completion.

Lesson 127

  1. Review – Adding and subtracting fractions
  2. Lesson – Adding and subtracting rational expressions. Do the Warm up, Presentation, and Worked Examples.
  3. Examples – Examples 1 – 10
  4. Practice – Add and subtract rational expressions, Odd numbers
  5. Record up to 5 points for completion.

Lesson 128

  1. Review – Solving linear equations
  2. Lesson – Solving rational equations. Do the Warm up, Presentation, and Worked Examples.
  3. Examples – Examples 1 – 3
  4. Practice – Solving rational equations, Odd numbers
  5. Record up to 5 points for completion.

Lesson 129

  1. Review – Solving quadratic equations
  2. Lesson – Solving rational equations
  3. Examples – Rational equations with no solutions, Examples 4 – 5
  4. Practice – Solving rational equations, odd numbers
  5. Challenge – ACT problems
  6. Record up to 5 points for completion.

Lesson 130

  1. Lesson – Applications of rational equations
    • Go through the lesson.
    • Examples – Work through the examples in the Topic Text.
    • Practice – Do the Practice.
  2. Record up to 5 points for completion.

Lesson  131

  1. Catch up if you are behind. Review lessons that caused you trouble.
  2. If you don’t need to catch up, review the section Rational Expressions and Equations. Here are activities you can use:

Review & PSAT Practice

Lesson 132

  1. You’ve finished the third grading period. Let’s do a review.
  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.
  3. Record up to 5 points for completion.

Lesson 133

  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.
  2. Record up to 5 points for completion.

Lesson 134

  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.
  2. Record up to 5 points for completion.

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.
  2. Record up to 5 points for completion.
  3. Time for a report card and portfolio/records updating.
    • Calculate your grade for the third quarter. See your grading sheets for the details.
    • In your portfolio you should include a couple of your assignments from this quarter. You could take screen shots of different exercises. Keep all your written work. Keep your papers neat.

Lesson 136**

  1. *Print out your fourth quarter grading sheet. Save this sheet and record your scores.
  2. *Print a bubble answer sheet if you don’t have one already.
  3. Take a timed practice test.
  4. Check your answers. Make sure you review the problems you got wrong.
  5. Record up to 5 points for completion.

Lesson 137*

  1. *Print a bubble answer sheet if you don’t have one already.
  2. Take a timed practice test.
  3. Check your answers. Make sure you review the problems you got wrong.
  4. Record up to 5 points for completion.

Data Analysis

Lesson 138

  1. Lesson – Mean, median, mode
  2. Practice – Mean, median, and mode
  3. Practice – Effects of shifting, adding, and removing a data point
  4. Practice – Missing values given the mean
  5. Challenge – Median & range puzzlers
  6. Record up to 5 points for completion.

Lesson 139

  1. Lesson – Measures of spread: range, variance, and standard deviation
  2. Lesson – How to find the standard deviation
  3. Lesson – The idea of spread and standard deviation
  4. Practice – Standard deviation of population
  5. Practice – Do the questions at the bottom of the page
  6. Record up to 5 points for completion.

Lesson 140

  1. Lesson – Interquartile range
  2. Practice – Interquartile range
  3. Lesson – Constructing a box and whisker plot
  4. Practice – Creating box plots
  5. Lesson – Interpreting box plots
  6. Practice – Reading box plots
  7. Practice – Interpreting quartiles
  8. Record up to 5 points for completion.

Lesson 141

  1. Lesson – Frequency table and dot plot
  2. Practice – Creating frequency tables
  3. Practice – Creating dot plots
  4. Practice – Reading dot plots and frequency tables
  5. Lesson – Histogram
  6. Practice – Creating histograms
  7. Practice – Reading histograms
  8. Lesson – Stem-and-Leaf plots
  9. Practice – Reading stem-and-leaf plots
  10. Record up to 5 points for completion.

Lesson 142

  1. Lesson – Shapes of distributions
  2. Practice – Shape of distributions
  3. Lessons – Comparing distributions
  4. Practice – Comparing distributions
  5. Practice – Comparing data distribution
  6. Practice – Comparing center and spread
  7. Record up to 5 points for completion.

Lesson 143

  1. Lesson – Constructing a scatter plot
  2. Practice – Constructing scatter plots
  3. Lesson – Describing relationships
  4. Practice – Describing relationships of variables given the scatter plot
  5. Lesson – How to find a line of fit
  6. Practice – Eyeballing the line of best fit
  7. Practice – Equations of trend lines
  8. Record up to 5 points for completion.

Lesson 144

  1. Lesson – Two-way frequency tables
  2. Practice – Read two-way frequency tables
  3. Practice – Create two-way frequency tables
  4. Lesson – Two-way relative frequency tables
  5. Practice – Read two-way relative frequency tables
  6. Practice – Create two-way relative frequency tables
  7. Lesson – Interpreting two-way tables
  8. Practice – Interpret two-way tables
  9. Record up to 5 points for completion.

Lesson 145

  1. Catch up if you are behind. Review lessons that caused you trouble.
  2. If you don’t need to catch up, review the section Rational Expressions and Equations. Here are activities you can use:

Probability

Lesson 146

  1. Lesson – Intro to theoretical probability
  2. Practice – Theoretical probability of simple events
  3. Lesson – Experimental probability
  4. Practice – Experimental probability
  5. Lesson – Theoretical vs. Experimental Probability, Watch
  6. Practice – Theoretical vs. Experimental probability
  7. Record up to 5 points for completion.

Lesson 147

  1. Lesson – Sample spaces and tree diagrams
  2. Practice – Sample spaces
  3. Practice – Tree diagrams
  4. Lesson – Sample space for compound events (table and tree diagram)
  5. Practice – Sample space for compound events (table and tree diagram)
  6. Record up to 5 points for completion.

Lesson 148

  1. Lesson – Counting principle
  2. Practice – Counting principle
  3. Practice – Counting principle, questions at the bottom of the page
  4. Record up to 5 points for completion.

Lesson 149

  1. Lesson – Probability of Independent Events
  2. Practice – Do the Practice and Review.
  3. Record up to 5 points for completion.

Lesson 150

  1. Lesson – Probability of Dependent Events
  2. Practice – Do the Practice and Review.
  3. Record up to 5 points for completion.

Lesson 151

  1. Lesson – Mutually exclusive (disjoint) events
  2. Examples – Probability OR
  3. Practice – Finding the probability involving AND and OR
  4. Practice – Questions at the bottom
  5. Record up to 5 points for completion.

Lesson 152

  1. Lesson – Learn about combinations and permutations. Try the first 6 examples on this video. You can try the rest of examples on the video if you want to.
  2. Practice – Permutations
  3. Practice – Combinations
  4. Practice – Permutations and combinations
  5. Record up to 5 points for completion.

Lesson 153

  1. Lesson – Factorials
  2. Practice – Factorial, Do the Questions
  3. Lesson – Permutation formula
  4. Lesson – Combination formula
  5. Practice – Permutations and Combinations, Do the Practice.
  6. Record up to 5 points for completion.

Lesson 154

  1. Review – Do the Review.
  2. Lesson – Probability using permutations and combinations
  3. Practice – Probability using permutations and combinations
  4. Record up to 5 points for completion.

Lesson 155

  1. Catch up if you are behind. Review lessons that caused you trouble.
  2. If you don’t need to catch up, review the section Rational Expressions and Equations. Here are activities you can use:
  3. Record up to 5 points for completion.

Test Taking Tips & Self-Review

Lesson 156

  1. Read the chapter on studying for a math test.  You can read other chapters if you want to.
  2. Create a test for EP Math Algebra 1. Make 20 problems from Lessons 1 through 79. Do not just copy the existing problems. Make up your own. Include the topics you had trouble with. Write your problems neatly on a clean sheet or sheets of paper with enough space to show all work. Keep the answer key separate. Title your work as Practice Test #1 and keep for later use.

Lesson 157

  1. Read about preparing yourself for success on the tests in the Standardized tests section. You could check out other sections if you want to.
  2. Create a test for EP Math Algebra 1. Make 20 problems from Lessons 80 through 150. Do not just copy the existing problems. Make up your own. Include the topics you had trouble with. Write your problems neatly on a clean sheet or sheets of paper with enough space to show all work. Keep the answer key separate. Title your work as Practice Test #2 and keep for later use.

Review: All Topics in Algebra 1

Lesson 158

  1. Review solving linear equations and inequalities. Do at least three of these review exercises.
  2. Record up to 5 points for completion.

Lesson 159

  1. Review graphing and writing linear equations and inequalities. Do at least three of these review exercises.
  2. Record up to 5 points for completion.

Lesson 160

  1. Review solving systems of linear equations and inequalities. Do at least three of these review exercises.
  2. Record up to 5 points for completion.

Lesson 161

  1. Review functions, variation, and sequences. Do at least three of these review exercises.
  2. Record up to 5 points for completion.

Lesson 162

  1. Review radicals. Do at least three of these review exercises.
  2. Record up to 5 points for completion.

Lesson 163

  1. Review exponents. Do at least three of these review exercises.
  2. Record up to 5 points for completion.

Lesson 164

  1. Review polynomials and factoring. Do at least three of these review exercises.
  2. Record up to 5 points for completion.

Lesson 165

  1. Review solving quadratic equations. Do at least three of these review exercises.
  2. Record up to 5 points for completion.

Lesson 166

  1. Review graphing quadratic functions. Do at least three of these review exercises.
  2. Record up to 5 points for completion.

Lesson 167

  1. Review rational expressions and equations. Do at least three of these review exercises.
  2. Record up to 5 points for completion.

Lesson 168

  1. Review data analysis. Do at least three of these review exercises.
  2. Record up to 5 points for completion.

Lesson 169

  1. Review probability. Do at least three of these review exercises.
  2. Record up to 5 points for completion.

Review: Solving All Types of Equations

Lesson 170

  1. Do these review exercises. Work to get a perfect score. Use the links to go over the material again if necessary.
  2. Record up to 5 points for completion.

Lesson 171

  1. Do these review exercises. Work to get a perfect score. Use the links to go over the material again if necessary.
  2. Record up to 5 points for completion.

Lesson 172

  1. Do these review exercises. Work to get a perfect score. Use the links to go over the material again if necessary.
  2. Record up to 5 points for completion.

Lesson 173

  1. Do these review exercises. Work to get a perfect score. Use the links to go over the material again if necessary.
  2. Record up to 5 points for completion.

Lesson 174

  1. Do these review exercises. Work to get a perfect score. Use the links to go over the material again if necessary.
  2. Record up to 5 points for completion.

Lesson 175

  1. Do these review exercises. Work to get a perfect score. Use the links to go over the material again if necessary.
  2. Record up to 5 points for completion.

Final Exam Week

Lesson 176

  1. Take Practice Test #1 you created in Lesson 156. Grade yourself and record your score on the first page of the test. Review the questions you missed and understand why you missed them.
  2. Make notes of the kinds of questions you get wrong repeatedly or you struggle with. Try to make your notes simple and clear so that you can review them quickly right before the final.

Lesson 177

  1. Take Practice Test #2 you created in Lesson 157. Grade yourself and record your score on the first page of the test. Review the questions you missed and understand why you missed them.
  2. Make notes of the kinds of questions you get wrong repeatedly or you struggle with. Try to make your notes simple and clear so that you can review them quickly right before the final.

Lesson 178

  1. Study on your own. Review lessons that caused you trouble. Solve the questions you missed and understand why you missed them.
  2. Make notes of the kinds of questions you get wrong repeatedly or you struggle with. Try to make your notes simple and clear so that you can review them quickly right before the final.

Lesson 179

  1. Study on your own. Review lessons that caused you trouble. Solve the questions you missed and understand why you missed them.
  2. Make notes of the kinds of questions you get wrong repeatedly or you struggle with. Try to make your notes simple and clear so that you can review them quickly right before the final.

Lesson 180*

  1. Before the test:
    • Take 10 minutes to review your notes from Lessons 176 through 179.
    • Get a calculator and blank sheets of paper for your calculations.
  2. Keep in mind:
    • There are 40 questions in the test.
    • Write your answers clearly in the space given. Do your work on separate paper.
    • There is no time limit, but you must complete the test in ONE sitting.
    • Do not use a calculator unless specifically stated that you may.
  3. When you are ready, take your final exam.
  4. After the test:
    • Grade your exam and record your score on your grading sheet.
    • *Print out your final grading sheet.
    • Calculate your final grade for the course. See your grading sheets for the details.
    • Save your work for your portfolio. Save your final.
  5. Congratulations on completing Algebra 1!
  6. Please complete the polls, and take them seriously. These are important to EP’s future plans.

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