Unreleased – In PROGRESS – New Geometry Course
Hae – Please have any links/pdfs added open in a new tab.
Algebra Review
Lesson 1
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 This course is available completely offline. Click here for more information if you’re interested in the offline version.
 This week we review algebra skills you’ll use in this course. If you find these reviews challenging, take time and go over related lessons in the Algebra 1 course.
 Remember how to simplify square root expressions? Watch or read.
 Simplify square root expressions. Do all problems.
 Remove radicals from the denominator. Do problems 1 through 5.
Lesson 2
 Review solving twostep linear equations and multistep linear equations.
 Solve twostep and multistep linear equations. Do all problems.
 Review ways of solving proportions.
 Solve proportions. Do all problems.
Lesson 3
 Review writing slopeintercept equations.
 Write slopeintercept equations from a graph. Do all problems.
 Write slopeintercept equations from two points. Do all problems.
 Review equations of horizontal and vertical lines.
 Write equations of horizontal and vertical lines. Do all problems.
 Review graphing equations of lines using intercepts.
 Graph equations of lines in standard form. Do all problems.
Lesson 4
 Review solving systems of linear equations by substitution and by elimination.
 Solve systems of linear equations algebraically. Do all problems.
 Review solving systems of linear equations by graphing.
 Solve systems of linear equation graphically. Do all problems.
Lesson 5
 Review multiplying binomials. Watch or read.
 Review special binomial products. These patterns are worth memorizing. Write them down a couple of times.
 Multiply binomials. Do problems 1 through 4.
 Review three ways of solving quadratic equations. Write down the quadratic formula a couple of times.
 Solve quadratic equations by factoring. Do all problems.
 Solve quadratic equations by completing the square. Do all problems.
 Solve quadratic equations using the quadratic formula. Do all problems.
Geometry Basics
Lesson 6
 Go through basic terms and notations. Read aloud the definitions. (Note: I will upload and link the workbook page after finalizing the workbook. These links are marked in orange.)
 Name basic geometric figures. Pause the video and work out each problem on your own.
 Interpret geometric diagrams. Do problems 1 through 18.
 You may want to print these out and keep them handy.
 Geometry cheat sheets you can look up anytime (Note: This is what you suggested. I’m thinking to add formulas as well. Will add the workbook pages later.)
 All postulates and theorems you will be learning in the course (Note: Will add the workbook pages later.)
Lesson 7
 Learn about basic postulates involving points, lines and planes. Be sure to Work out each problem on your own. (Answers to the last four problems: False, True, True, False)
 Learn about two addition postulates. Work out each problem on your own.
 Use the Segment Addition Postulate. Do problems 7 through 14. (Video solutions: part 1, part 2, part 3)
 Use the Angle Addition Postulate. Do problems 7 through 14. (Video solutions: part 1, part 2)
 Read about the parallel postulate.
Lesson 8
 Learn to classify angles by their measures.
 Classify angles by their measures. Do all problems.
 Learn about angle pairs formed by intersecting lines.
 Identify angle pairs and find angle measures. Do all problems. (Video solutions: part 1, part 2)
Lesson 9
 Learn about angle pairs formed by parallel lines cut by a transversal. Just read, don’t worry about the practice problems.
 Identify angle pairs and find angle measures. Do problems 1 through 24. (Video solutions: part 1, part 2)
Lesson 10
 Learn to identify parallel lines and find angle measures that make lines parallel.
 Here are two images of what angles are congruent when two parallel lines are cut by a transversal.
 Find angle measures that make lines parallel. Do problems 1 through 16. (Video solutions: part 1, part 2)
Lesson 11
 Learn to classify triangles by sides and angles.
 Classify triangles by both sides and angles. Do all problems.
 Learn about interior angles of triangles. Read aloud the theorem, then study the examples. Skip the proofs for now. You’ll prove this theorem in later lessons.
 Find interior angle measures of triangles.
 Learn about exterior angles of triangles. Read aloud the definition and the theorem, then study the examples. Skip the proof for now.
 Find exterior angle measures of triangles. Do all problems.
Lesson 12
 Read about quadrilaterals.
 Classify quadrilaterals. Do all problems.
 Learn about interior angles of quadrilaterals. Do the practice problems at the end of the video. (Answers: a) 100°, b) 150°, c) 160°, d) 63°, e) 31°, f) 128°, g) 24°, h) 65°, i) 68°)
 Learn about exterior angles of quadrilaterals. Do the practice problems at the end of the video. (Answers: a) 106°, b) 113°, c) 77°, d) 104°, e) 104°)
 Apply algebra to find angle measures. Do problems 15 through 18.
Lesson 13
 Read about polygons.
 Classify polygons. Do all problems.
 Learn about interior and exterior angles of polygons.
 Here are more examples. Skip if you are confident.
 Check only examples you are not sure how to solve. Skip ones you can see how to solve. The important thing is that you understand. You may want to first do the practice problems below, then check back these examples if you got any problem wrong. Study efficiently!
 Practice with polygons. Do all problems.
 Practice with polygons. Do problems 2 through 10.
Lesson 14
 Catch up if you are behind. Review lessons that caused you trouble.
 If you don’t need to catch up, review the section Geometry Basics. Here are activities you can use:
 Play Jeopardy: Points, lines, planes, and angles
 Play Jeopardy: All about angles
 Play Jeopardy: Parallel lines and triangles
 Play Jeopardy: Interior and exterior angles of polygons
Transformations
Lesson 15
 Learn about symmetry.
 Identify reflectional symmetries. Do all problems.
 Identify rotational symmetries. Do all problems.
 Practice with symmetries. Do problems 1 through 6. Try all if you are up for a challenge!
Lesson 16
 Refresh your memory on translations.
 Relate your understanding to geometry. Read the section “Translations.”
 Work out the examples on translations.
 Here are more examples. Skip if you are confident.
 Perform translations. Do all problems.
 Practice with translations. Do all problems.
Lesson 17
 Refresh your memory on reflections. Pay attention to how coordinates change.
 Relate your understanding to geometry. Read the section “Reflection in a Line.”
 Work out the examples on reflections.
 Here are more examples. Skip if you are confident.
 Perform reflections. Do all problems.
 Practice with reflections. Do all problems.
Lesson 18
 Refresh your memory on rotations. Pay attention to how coordinates change.
 Relate your understanding to geometry. Read the section “Rotations.”
 Work out the examples on rotations.
 Here are more examples (part 1, part 2). Skip if you are confident.
 Perform rotations of points. Do all problems.
 Perform rotations of polygons. Do all problems.
 Practice with rotations. Do all problems.
Lesson 19
 Refresh your memory on dilations.
 Relate your understanding to geometry. Read through the page. Stop at “Dilation with Center NOT at Origin.”
 Here are more examples. Skip if you are confident.
 Perform dilations. Do all problems.
 Practice with dilations. Do all problems.
Lesson 20
 Read aloud the sentences below.
 A rigid transformation is a transformation that does not change the size or shape of a figure.
 A rigid transformation is also called an isometry.
 Translations, reflections, and rotations are all rigid transformations.
 A rigid transformation produces an image that is congruent to the preimage.
 Review properties of rigid transformations. Do all problems.
 Learn about compositions of rigid transformations.
 Work out the examples on naming compositions as a single transformation.
 Practice with compositions of rigid transformations. Do problems 1 through 9.
Lesson 21
 Read aloud the sentences below.
 A similarity transformation is a dilation or a composition of dilations and rigid transformations.
 A similarity transformation changes the size of a figure but not its shape.
 A similarity transformation produces an image that is similar to the preimage.
 Work out the examples on identifying single transformations.
 Work out the examples on identifying composite transformations.
 Practice all you learned about transformations. Do all problems.
Lesson 22
 Catch up if you are behind. Review lessons that caused you trouble.
 If you don’t need to catch up, review the section Transformations. Here are activities you can use:
 Play Jeopardy: Symmetry
 Play Jeopardy: Rigid transformations
 Play Jeopardy: Congruence, similarity, and transformations
Reasoning and Proofs
Lesson 23
 Learn about inductive reasoning, conjectures, and counterexamples. Be sure to Work out each problem on your own.
 Work out the examples on recognizing patterns. Just the Examples, not the Review problems.
 Use indicative reasoning to find patterns. Do all problems.
 Work out the examples on finding counterexamples. Don’t do the Review problems.
 Find counterexamples. Do all problems.
Lesson 24
 Learn about conditional statements.
 Write conditional statements. Do all Review problems at the bottom of the page, then check your answers. Study the examples on the page if you need more help. (Note: Will upload and link the answer pdf later.)
 Learn about converse and biconditional statements.
 Write converse and biconditional statements. Do Review problems 5 through 10, then check your answers. (Note: Will add the answer pdf later.)
 Learn to apply deductive reasoning. Work out the examples on your own.
Lesson 25
 Copy the properties of equality and congruence in your notebook.
 Identify properties of equality. Do all problems.
 Play two matching quizzes: quiz 1 and quiz 2.
 Learn to write algebraic proofs using properties of equality.
 Solve equations and justify each step. Do all Review problems, then check your answers.
Lesson 26
 Read about types of proofs. You don’t have to fully understand the examples yet. Just check out how each type looks like.
 Study four examples of proving statements about segments and angles.
 Example (segments)
 Example (angles)
 Two examples (segments and angles)
 Complete algebraic proofs. Do all problems.
 Complete twocolumn proofs. Do all problems.
Lesson 27
 What is indirect proof (or proof by contradiction)?
 Study three more examples on indirect proof.
 Compare direct proofs and indirect proofs.
 Write an indirect proof of each statement below.
 If 3x − 2 > 16, then x > 6.
 If 7x − 4 is odd, then x is odd.
 If △ABC is equiangular, then ∠A measures 60°.
 If ABCDE is a regular hexagon, then ∠A is acute.
 Check your answers. (Note: Will add the answer sheet later.)
 Think about why we learn proofs. Check these out.
Lesson 28
 Review identifying transformations. Work out the examples on your own.
 Read aloud the sentences below.
 A transformational proof uses transformations to prove that figures are congruent or similar
 Two figures are congruent if and only if you can map one figure onto the other using rigid transformations (translations, reflections, and rotations).
 Two figures are similar if and only if you can map one figure onto the other using a similarity transformation (a dilation or a composition of dilations and rigid transformations).
 Learn how to prove congruence using rigid transformations.
 Prove congruence using rigid transformations. Do all problems.
 Learn how to prove similarity using similarity transformations.
 Prove similarity using similarity transformations. Do all problems.
Lesson 29
 What is a theorem? Read the first section “The Building Blocks of Proofs.”
 Make sure you can answer these questions. Use the links to see the definitions if you need a reminder.
 What are vertical angles, complementary angles, supplementary angles, and linear pair?
 What is the difference between a linear pair and a pair of supplementary angles? (Answer: Linear pairs are always formed by adjacent angles. Supplementary angles do not have to be adjacent.)
 Read aloud Postulate 29.1 and Theorems 29.1 through 29.4. This is a complete list of postulates and theorems you will learn in this course. You may want to print it out and keep it handy. (Note: Will upload and link the pdf later.)
 See how you prove these theorems. Pause at each step and think about what comes next. Note that there is often more than one way to prove the given statement(s). The proof given here is just one possible way.
 Theorem 29.1: Right Angles Congruence Theorem
 Theorem 29.2: Congruent Complements Theorem
 Theorem 29.3: Congruent Supplements Theorem
 Theorem 29.4: Vertical Angles Theorem
Lesson 30
 Make sure you can answer these questions. Use the links to see the definitions if you need a reminder.
 Two segments are congruent if and only if they have the same length. How do you write this biconditional statement as two conditional statements? (Answer: If two segments are congruent, then they have the same length. If two segments have the same length, then they are congruent.)
 What are corresponding angles, alternate exterior angles, alternate interior angles, and consecutive interior angles?
 Read aloud Postulate 30.1 and Theorems 30.1 through 30.3. (Note: Will add the pdf later.)
 Prove these theorems. Pause at each step and say what comes next.
 Theorem 30.1: Alternate Exterior Angles Theorem
 Theorem 30.2: Alternate Interior Angles Theorem
 Theorem 30.3: Consecutive Interior Angles Theorem
 Theorem 30.1: Alternate Exterior Angles Converse
 Theorem 30.2: Alternate Interior Angles Converse
 Theorem 30.3: Consecutive Interior Angles Converse
Lesson 31
 Are the lines parallel? Do a quick review.
 Read aloud Theorems 31.1 through 31.3. (Note: Will add the pdf later.)
 Read the section “Transitive Property of Parallel Lines.”
 Prove these theorems. Pause at each step and say what comes next.
 Theorem 30.1: Perpendicular Transversal Theorem (the second half of the video)
 Theorem 30.2: Perpendicular Transversal Converse (the first half of the video)
 Theorem 30.3: Linear Pair Perpendicular Theorem
 Property: Transitive Property of Parallel Lines
Lesson 32
 Do a quick review on interior angles of polygons and exterior angles of polygons.
 Read aloud Theorems 32.1 through 32.4. (Note: Will add the pdf later.)
 Prove these theorems. Pause at each step and say what comes next.
 Theorem 32.1: Triangle Sum Theorem
 Theorem 32.2: Triangle Exterior Angle Theorem
 Theorem 32.3: Polygon Interior Angles Theorem
 Theorem 32.4: Polygon Exterior Angles Theorem
Lesson 33
 Read aloud the postulate and the theorems listed below. (Note: Will add the pdf later.)
 You can prove geometric theorems using transformations. Here are some examples. Read the transformational proof in each page.

 Theorem 29.4: Vertical Angles Theorem
 Postulate 30.1: Corresponding Angles Postulate
 Theorem 32.1: Triangle Sum Theorem (the first proof using translation)
 Theorem 47.1: Perpendicular Bisector Theorem

 Practice with proofs using transformations. Do all problems.
Lesson 34
 Catch up if you are behind. Review lessons that caused you trouble.
 If you don’t need to catch up, review the section Reasoning and Proofs. Here are activities you can use:
 Play Jeopardy: Geometric reasoning
 Play Jeopardy: Parallel and perpendicular lines
 Play Jeopardy: Angles and triangles
 Play Jeopardy: Transformations
Congruent Triangles
Lesson 35
 Learn about congruent triangles. Read the lesson and study the examples. NOTE: We’ll be using this site a lot. Don’t do the Review problems unless directed specifically. If your lesson just says, “Read and study the examples,” that means the Review questions are NOT assigned.
 Learn about congruence statements. Read and study the examples.
 Learn about the Third Angle Theorem. Read and study the examples.
 Practice with congruent triangles. Do all problems.
 Prove the theorem you just used. Pause at each step and say what comes next.
 Theorem 35.1: Third Angle Theorem
Lesson 36
 There are five shortcut methods to prove triangles congruent. You’ll learn the first two today. Read aloud Theorems 36.1 and 36.2. (Note: Will add the pdf later.)
 Learn about the SSS Congruence Theorem. Read and study the three examples: 4.13.2 through 4.13.4.
 Learn about the SAS Congruence Theorem. Read and study the examples.
 Here are more examples. Skip if you are confident.
 Identify SSS and SAS congruence. Do odd problems. (Video solutions: part 1, part 2)
 Work out three proofs using SSS and SAS. Pause at each step and say what comes next.
Lesson 37
 Learn two more shortcuts commonly used to prove triangles congruent. Read aloud Theorems 37.1 and 37.2. (Note: Will add the pdf later.)
 Learn about the ASA and AAS Congruence Theorems. Read and study the examples.
 Here are more examples. Skip if you are confident.
 Identify AAS and AAS congruence. Do odd problems. (Video solutions: part 1, part 2)
 Work out two proofs using ASA and AAS. Pause at each step and say what comes next.
Lesson 38
 Read aloud Theorem 38.1. This is the last shortcut to prove congruence of two triangles. (Note: Will add the pdf later.)
 Learn about the HL Congruence Theorem. Read and study the examples.
 Work out a proof using HL. Pause at each step and say what comes next.
 Here are more examples on congruence by HL and congruence by CPCTC. Skip if you are confident.
 Once you prove triangles congruent, you can say their parts congruent by CPCTC (Corresponding Parts of Congruent Triangles are Congruent). You’ll easily understand what this means once you see examples.
 Work out five proofs using CPCTC. Pause at each step and say what comes next.
Lesson 39
 Review SSS, SAS, ASA, and AAS congruence. Do all problems.
 Learn about congruence in overlapping triangles.
 Work out the first two proofs. Pause at each step and say what comes next.
 Try the third one if you are up for a challenge.
Lesson 40
 Read aloud Theorems 40.1 through 40.4. (Note: Will add the pdf later.)
 Learn about isosceles triangles. Read and study the examples.
 Learn about equilateral triangles. Read and study the examples.
 Practice with isosceles and equilateral triangles. Do problems 1 through 9. Do problem 10 if you are up for a challenge.
 Prove the theorems about isosceles and equilateral triangles. Pause at each step and say what comes next.
 Theorem 40.1: Base Angles Theorem
 Theorem 40:2: Base Angles Converse
 Theorem 40:3: Equilateral Triangle Theorem
 Theorem 40.4: Equilateral Triangle Converse
Lesson 41
 Why SSA and AAA are not congruence shortcuts? Read the section “Methods that DO NOT Prove Triangles Congruent.”
 Why the congruence shortcuts work? You can prove them using transformations. Read the first three proofs.
 Justify triangle congruence using transformations. Do all problems.
 You can prove AAS and HL using other congruence theorems. Pause at each step and say what comes next.
 Theorem 37.2: AngleAngleSide (AAS) Theorem (The Third Angle Theorem better justifies the fourth statement.)
 Theorem 38.1: HypotenuseLeg (HL) Theorem
Lesson 42
 Read aloud the theorems involving congruent triangles: Theorems 35.1 through 40.4. Make sure you understand what each theorem means. If not, go back and check. (Note: Will add the list pdf later.)
 Prove triangle congruence. Do all problems.
 Write proofs involving congruent triangles. Do the worksheets. (Note: Will add the workbook pages later.)
Lesson 43
 Catch up if you are behind. Review lessons that caused you trouble.
 If you don’t need to catch up, review the section Congruent Triangles. Here are activities you can use:
 Play Jeopardy: Angles and parallel lines
 Play Jeopardy: Basics of triangle congruence
 Play Jeopardy: Triangle congruence
Quarterly Review
Lesson 44
 Do the worksheets to review the first quarter. The problems marked “HONORS” are optional. Try them if you are up for a challenge. (Note: Will add the pdf later.)
 Review what you missed and why.
Lesson 45
 Do the worksheets to review the first quarter. (Note: Will add the pdf later.)
 Review what you missed and why.
Properties of Triangles
Lesson 46
 Review angles in triangles. Do problems 1 through 6.
 Review angles and parallel lines. Do all problems.
 Learn about midsegments of triangles. Read aloud the definition and the theorem, then work out the examples. Don’t do the proofs.
 Here are more examples. Skip if you are confident.
 Practice with midsegments. Do all problems.
Lesson 47
 Study the section “Perpendicular Bisectors in a Triangle.” Read aloud the definition and the theorem(s), then work out the examples.
 Practice with perpendicular bisectors. Do Review problems 1 through 9, then check your answers. You don’t have to read the lesson or work through the examples unless you want to. (Note: Will add the answer sheet later.)
 Prove the theorems about perpendicular bisectors. Be sure to pause at each step and say what comes next.
 Theorem 47.1: Perpendicular Bisector Theorem
 Theorem 47.1: Perpendicular Bisector Theorem Converse
Lesson 48
 Study the section “Angle Bisectors in a Triangle.” Read aloud the definition and the theorem(s), then work out the examples.
 Practice with angle bisectors. Do Review problems 1 through 9, then check your answers. (Note: Will add the answer sheet later.)
 Prove the theorems about angle bisectors. Pause at each step and say what comes next.
 Theorem 48.1: Angle Bisector Theorem
 Theorem 48.1: Angle Bisector Theorem Converse
Lesson 49
 Study the section “Medians in Triangles.” Read aloud the definition and the theorem(s), then work out the examples.
 Work out all examples on medians and centroid.
 Here are more examples. Skip if you are confident.
 Practice with medians. Do problems 1 through 12. (Video solutions: part 1, part 2)
 Review midsegments of triangles. Do all problems.
Lesson 50
 Study the section “Altitudes in Triangles.” Read aloud the definition, then work out the examples.
 Work out all examples on altitudes.
 Practice with altitudes and medians. Do all problems.
 Review bisectors of triangles. Do all problems.
Lesson 51
 Read aloud the theorems involving segments and centers of triangles: Theorems 46.1 through 49.1. Make sure you understand what each theorem means. If not, go back and check. (Note: Will add the list pdf later.)
 Review segments and centers of triangles.
 Review midsegments of triangles. Do all problems.
 Review bisectors, medians, and altitudes of angles. Do all problems.
Lesson 52
 Review solving onestep linear inequalities. Do all problems.
 Learn about inequalities in one triangle. Read aloud the theorems, then work out the examples.
 Work out all examples using the Triangle Inequality Theorem.
 Here are more examples. Skip if you are confident.
 Practice with inequalities in one triangle. Do all problems.
Lesson 53
 Review solving twostep linear inequalities. Do all problems.
 Learn about inequalities in two triangles. Read aloud the theorems, then work out the examples.
 Work out all examples comparing sides and angles in triangles.
 Compare sides and angles in triangles. Do all problems.
 Practice with inequalities in two triangles. Do problems 1 through 7.
Lesson 54
 Read aloud the theorems involving triangles: Theorems 46.1 through 53.2. Make sure you understand what each theorem means. If not, go back and check. (Note: Will add the list pdf later.)
 Write proofs involving segments of triangles. Do the worksheets. (Note: Will add the workbook pages later.)
 Write proofs involving congruent triangles. Do problems 3 through 6.
Lesson 55
 Catch up if you are behind. Review lessons that caused you trouble.
 If you don’t need to catch up, review the section Properties of Triangles. Here are activities you can use:
 Play Jeopardy: Triangle relationships and special segments of triangles
 Play Jeopardy: Inequalities in triangles
 Play Jeopardy: Segments, angles, triangles, and quadrilaterals
Properties of Quadrilaterals
Lesson 56
 Read aloud Theorems 56.1 through 56.4. (Note: Will add the list pdf later.)
 Learn about parallelograms. Be sure to Work out each problem on your own.
 Here are more examples. Skip if you are confident.
 Find measures in parallelograms. Do all problems.
 Prove the theorems about parallelograms. Cover the table, then say what comes next before revealing each row. If you find it difficult, cover the Reasons column and justify each step.
 Theorem 56.1: Parallelogram Opposite Sides Theorem
 Theorem 56.2: Parallelogram Consecutive Angles Theorem (See the link above.)
 Theorem 56.3: Parallelogram Opposite Angles Theorem (See the link above.)
 Theorem 56.4: Parallelogram Diagonals Theorem (See the link above.)
Lesson 57
 Read aloud Theorems 57.1 through 57.4. (Note: Will add the list pdf later.)
 Learn how to prove a quadrilateral is a parallelogram.
 Identify parallelograms. Do all problems.
 Prove the theorems about parallelograms. Cover the table, then say what comes next before revealing each row. If you find it difficult, cover the Reasons column and justify each step.
 Theorem 57.1: Parallelogram Opposite Sides Converse
 Theorem 57.2: Parallelogram Opposite Angles Converse (See the link above.)
 Theorem 57.3: Parallelogram Diagonals Converse (See the link above.)
 Theorem 57.4: Parallel Congruent Sides Theorem (See the link above.)
Lesson 58
 Read aloud Theorems 58.1 through 58.3. (Note: Will add the list pdf later.)
 Learn about special parallelograms.
 Here are more examples on rhombuses and rectangles. Skip if you are confident.
 Find measures in special parallelograms. Do all problems.
 Classify parallelograms. Do Review problems 4 through 15, then check your answers. (Note: Will add the answer pdf later.)
Lesson 59
 Read aloud Theorems 59.1 through 59.6. (Note: Will add the list pdf later.)
 Learn about trapezoids. Read and study the examples.
 Learn about kites. Read and study the examples.
 Here are more examples on trapezoids and kites. Skip if you are confident.
 Find measures in trapezoids and kites. Do all problems.
 Find measures in quadrilaterals. Do all problems.
Lesson 60
 Read aloud the theorems involving quadrilaterals: Theorems 56.1 through 59.6. Make sure you understand what each theorem means. If not, go back and check. (Note: Will add the list pdf later.)
 Prove parallelogram properties. Do all problems.
 Write proofs involving quadrilaterals. Do the worksheets. (Note: Will add the workbook pages later.)
Lesson 61
 Catch up if you are behind. Review lessons that caused you trouble.
 If you don’t need to catch up, review the section Properties of Quadrilaterals. Here are activities you can use:
 Play Jeopardy: Properties of quadrilaterals
 Play Jeopardy: Properties of special parallelograms
Similar Triangles
Lesson 62
 Review solving proportions. Do all problems.
 Learn about similar polygons. Be sure to Work out each problem on your own.
 Identify similar polygons. Do problems 1 through 10. (Video solutions: part 1)
 Find missing sides in similar polygons. Do all problems.
Lesson 63
 There are three shortcut methods to prove triangles similar. You’ll learn the first one today. Read aloud Theorem 63.1. (Note: Will add the link later.)
 Learn about AA similarity.
 Identify similar triangles by AA. Do all problems.
 Identify or solve similar triangles. Do problems 6 through 21, then check your answers. (Note: Will add the answer pdf later.)
Lesson 64
 Review solving rational equations. Do all problems.
 Read aloud Theorem 64.1. This is the second shortcut to prove triangles similar. (Note: Will add the link later.)
 Learn about SSS similarity.
 Identify similar triangles by SSS. Do all problems.
 Find missing sides in similar triangles. Do problems 13 through 20. (Video solutions: part 2)
Lesson 65
 Read aloud Theorem 65.1. This is the last shortcut to prove triangles similar. (Note: Will add the link later.)
 Learn about SAS similarity.
 Identify similar triangles. Do all problems.
 Read about types of similarity problems.
 Find missing sides and angles in similar triangles. Do all problems.
Lesson 66
 Read aloud the three similarity theorems: Theorems 63.1 through 65.1. (Note: Will add the link later.)
 Review proving similarity using transformations. Do all problems.
 Why the similarity shortcuts work? You can prove them using transformations. Read or watch.
 Theorem 63.1: AngleAngle (AA) Similarity Theorem
 Theorem 64.1: SideSideSide (SSS) Similarity Theorem
 Theorem 65.1: SideAngleSide (SAS) Similarity Theorem
 Prove triangle similarity. Do all problems.
 Find missing sides in similar triangles. Do all problems.
Lesson 67
 Do a quick review on simplifying radicals. Just four problems!
 Read aloud Theorem 67.1. (Note: Will add the link later.)
 Learn about similarity in right triangles. Read the first theorem and the explanation below it. You will learn the rest tomorrow.
 Work out the examples on similar right triangles.
 Find missing sides in similar right triangles. Do odd problems. (Video solutions: part 1, part 2)
Lesson 68
 Review solving quadratics by taking square roots. Do problems 1 through 6.
 Read aloud Theorems 68.1 and 68.2. (Note: Will add the link later.)
 Learn about geometric means and similar right triangles.
 Here are more examples. Skip if you are confident.
 Find missing sides in similar right triangles. Do problems 1 through 12.
Lesson 69
 Read aloud Theorems 69.1 and 69.2. (Note: Will add the link later.)
 Learn about proportional parts in triangles parallel lines.
 Here are more examples. Skip if you are confident.
 Find missing sides in triangles and parallel lines. Do problems 1 through 10. (Video solutions: part 1, part 2)
 Find missing sides in triangles with side splitters. Do problems 1 through 9.
Lesson 70
 Read aloud Theorem 70.1. (Note: Will add the link later.)
 Learn about proportions with angle bisectors. Skip the proof.
 Work out three more examples on angle bisectors and proportions.
 Find missing sides in triangles with angle bisectors. Do problems 13 through 18. (Video solutions: part 3)
 Find missing sides in triangles with angle bisectors. Do all problems.
Lesson 71
 Read aloud the theorems involving similar triangles: Theorems 63.1 through 70.1. Make sure you understand what each theorem means. If not, go back and check. (Note: Will add the link later.)
 Read about types of proof problems involving similar triangles.
 Write proofs involving similar triangles. Do all problems.
Lesson 72
 Here are six application problems involving similar triangles and proportions. Work out each problem on your own before checking the solution.
 Now exercise all your skills on similar triangles. Do all problems.
Lesson 73
 Catch up if you are behind. Review lessons that caused you trouble.
 If you don’t need to catch up, review the section Similar Triangles. Here are activities you can use:
 Play Jeopardy: Congruent and similar triangles
 Play Jeopardy: Similar triangles
 Play Jeopardy: Dilations, similarity, and proportionality
Right Triangles & Trigonometry
Lesson 74
 Read aloud Theorem 74.1. (Note: Will add the link later.)
 Learn about the Pythagorean theorem.
 Read about Pythagorean triples.
 Here are more examples. Skip if you are confident.
 Find missing sides in right triangles. Do all problems.
 For problem 17, remember that the diagonals of a rhombus are perpendicular.
 There are many ways to prove the Pythagorean Theorem. Watch if you are interested.
Lesson 75
 Read aloud Theorems 75.1 through 75.3. (Note: Will add the link later.)
 Learn to classily triangles using Pythagorean inequalities.
 Here are more examples. Skip if you are confident.
 Practice with the Pythagorean theorem and inequalities. Do all problems. (Video solutions: part 1, part 2)
Lesson 76
 Read aloud Theorems 76.1 and 76.2. (Note: Will add the link later.)
 Learn about 306090 triangles. Read and study the examples.
 Learn about 454590 triangles. Read and study the examples.
 Here are more examples. Skip if you are confident.
 Find missing sides in 306090 triangles. Do all problems.
 Find missing sides in 454590 triangles. Do all problems.
Lesson 77
 Review special right triangles. Do all problems.
 Learn about three basic trigonometric ratios.
 You can use a calculator to find trigonometric ratios.
 Make sure your calculator is in degree (DEG) mode, not in radian (RAD) mode.
 If you don’t have a scientific calculator, use an online calculator or an app.
 Find trigonometric ratios in right triangles. Do all problems.
 You can use special right triangles to find trigonometric ratios of 30, 45, and 60. Complete the table before checking the answers.
Lesson 78
 Review finding trigonometric ratios in right triangles. Do all problems.
 Learn about sines and cosines of complementary angles.
 Practice with sines and cosines of complementary angles. Do problems 1 through 6.
 Learn about solving for a side in right triangles.
 Here are more examples. Skip if you are confident.
 Solve for a side in right triangles. Do problems 1 through 8. (Video solutions: part 1)
Lesson 79
 Review solving for a side in right triangles. Do all problems.
 Learn about inverse trigonometric ratios.
 When using an online calculator, click the “func” key.
 Here are more examples. Skip if you are confident.
 Solve for an angle in right triangles. Do odd problems. (Video solutions: part 1, part 2)
Lesson 80
 Review solving for a side in right triangles. Do all problems.
 Review solving for an angle in right triangles. Do all problems.
 Learn to solve right triangles (or find all sides and angles).
 Solve for a side or an angle in right triangles. Do problems 1 through 8. Do all if you are up for a challenge.
Lesson 81
 Review solving for a side or an angle in right triangles. Do all problems.
 Learn to find areas of triangles using trigonometry. Stop at the section “Deriving this formula.”
 Practice with areas of triangles using trigonometry. Do all problems.
Lesson 82
 Learn to solve application problems using right triangle trigonometry.
 Here are more examples on angle of elevation and angle of depression. Skip if you are confident.
 Solve application problems using right triangle trigonometry. Do all problems.
Lesson 83
 Catch up if you are behind. Review lessons that caused you trouble.
 If you don’t need to catch up, review the section Right Triangles & Trigonometry. Here are activities you can use:
 Play Jeopardy: Pythagorean Theorem
 Play Jeopardy: All about right triangles
Quarterly Review
Lesson 84
 Do the worksheets to review the first quarter. The problems marked “HONORS” are optional. Try them if you are up for a challenge. (Note: Will add the pdf later.)
 Review what you missed and why.
Lesson 85
 Do the worksheets to review the second quarter. (Note: Will add the pdf later.)
 Review what you missed and why.
Lesson 86
 Do the worksheets to review the second quarter. (Note: Will add the pdf later.)
 Review what you missed and why.
Midterm Exam
Lesson 87
 There is a midterm exam in Lesson 90. A practice test is available in Lesson 89 to help you get ready. You can take the practice test any time before the exam.
 Study on your own. Review lessons that caused you trouble. Solve the questions you missed and understand why you missed them.
 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 exam.
Lesson 88
 Study on your own. Review lessons that caused you trouble. Solve the questions you missed and understand why you missed them.
 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 exam.
Lesson 89
 This is a practice test for your midterm exam. It is usually a good practice to take a practice test just like a real exam. Read the directions below in Lesson 90.
 When you are ready, take your practice test. (Note: Will add the pdf later.)
 Check your answers and review what you missed. (Note: Will add the pdf later.)
Lesson 90
 Before the test:
 Take 10 minutes to review your notes.
 Get a calculator and blank sheets of paper for your calculations.
 Keep in mind:
 There are 30 questions on the test.
 You may use a calculator throughout the exam.
 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.
 When you are ready, take your midterm exam. (Note: Will add the pdf later.)
 After the test:
 *Print out your grading sheet. (Note: Will add the pdf later.)
 Grade your exam. Calculate and record your score on your grading sheets. See the grading sheet for the details. (Note: Will add the pdf later.)
 Save your work for your portfolio. Save your exam.
Circles
Lesson 91
 Learn about parts of circles. Read aloud each definition.
 Learn about tangent lines and circumscribed polygons. Read the theorems aloud as you watch.
 Here are more examples. Skip if you are confident.
 Practice with tangent lines. Do all problems. (Video solutions: part 1, part 2)
Lesson 92
 Review tangent lines. Do all problems.
 Read aloud the definitions below.
 Congruent circles are circles with congruent radii.
 Congruent arcs are arcs of the same circle or of congruent circles with equal measures.
 Learn about arcs and central angles. Read and study the examples.
 Read aloud Theorem 92.1 and Postulate 92.1. (Note: Will add the pdf later.)
 Here are more examples. Skip if you are confident.
 Practice with arcs and central angles. Do problems 5 through 18. (Video solutions: part 1, part 2)
Lesson 93
 Review arc measures. Do all problems.
 Learn about chords. Read aloud the theorems and study the examples.
 Here are more examples. Skip if you are confident.
 Practice with chords. Do Review problems 8 through 22, then check your answers. (Note: Will add the pdf later.)
Lesson 94
 Review the theorems about chords. Read them aloud. Check the proofs if you are interested.
 Here are more examples. Skip if you are confident.
 Practice with chords. Do problems 1 through 8.
 Practice with arc and chords. Do all problems.
Lesson 95
 Learn about inscribed angles. Read and study the examples. Read the theorems aloud as you read.
 Here are more examples. Skip if you are confident.
 Practice with inscribed angles. Do Review problems 5 through 13, then check your answers. (Note: Will add the pdf later.)
 Practice with central and inscribed angles. Do all problems.
Lesson 96
 Review inscribed angles. Do all problems.
 Learn about inscribed quadrilaterals. Read and study the examples. Read the theorems aloud as you read.
 Here are more examples. Skip if you are confident.
 Practice with inscribed angles and polygons. Do all problems. (Video solutions: part 1, part 2)
Lesson 97
 Learn about angles on and inside circles. Read and study the examples. Read the theorems aloud as you read.
 Here are more examples on chordtangent angles and chordchord angles. Skip if you are confident.
 Practice with angles on and inside circles. Do all problems.
 Practice with inscribed quadrilaterals. Do all problems.
Lesson 98
 Learn about angles outside circles. Read and study the examples. Read the theorems aloud as you read.
 Here are more examples. Skip if you are confident.
 Practice with angles outside circles. Do all problems.
 Practice with tangents and angles in circles. Do all problems.
Lesson 99
 Learn about segments of circles. Read the theorems aloud as you watch.
 Here are more examples (part 1 and part 2). You may want to check out examples that require solving quadratic equations. Skip if you are confident.
 Practice with segments of circles. Do all problems.
 Do more practice with segments of circles. Do all problems.
Lesson 100
 Review angle of circles. Read the theorems aloud.
 Review segments of circles. Read the theorems aloud. Check the proofs if you are interested.
 Here more examples on angles on and inside circles, angles outside circles, chordchord segments, secantsecant segments, and secanttangent segments. Skip if you are confident.
 Practice with angles of circles. Do problems 1 through 8. (Video solutions: part 1)
 Practice with segments of circles. Do problems 1 through 8. (Video solutions: part 1)
Lesson 101
 Read aloud the theorems involving congruent triangles: Theorems 91.1 through 99.3. Make sure you understand what each theorem means. If not, go back and check. (Note: Will add the list pdf later.)
 Learn how to prove that all circles are similar.
 Write proofs involving circles. Do all problems.
Lesson 102
 Catch up if you are behind. Review lessons that caused you trouble.
 If you don’t need to catch up, review the section Circles. Here are activities you can use:
 Play Jeopardy: Chords and inscribed angles
 Play Jeopardy: Segment relationships in circles
Perimeters and Areas
Lesson 103
 Learn to find areas of triangles and quadrilaterals.
 Find areas of parallelograms. Do all problems.
 Find areas of triangles. Do all problems.
 Find areas of trapezoids. Do all problems.
 Find perimeters and areas of rhombuses and kites. Do Review problems 8 through 11, then check your answers. (Note: Will add the list pdf later.)
Lesson 104
 Review special right triangles. Do all problems.
 Review interior angles of polygons. Do problems 1 and 2.
 Learn to find areas of regular polygons.
 Find areas of regular polygons. Do problems 1 through 14. (Video solutions: part 1, part 2)
Lesson 105
 Review finding missing sides in similar polygons. Do all problems.
 Learn about perimeters and areas of similar polygons.
 Find missing measures of similar polygons. Do Review problems 9 through 22, then check your answers. (Note: Will add the list pdf later.)
Lesson 106
 Review arc measures. Do all problems.
 Remember what π is and how to find circumference?
 Learn to find arc length. Stop at Radian Measure.
 Here are more examples. Skip if you are confident.
 Practice with arc length. Do all Review problems, then check your answers. (Note: Will add the list pdf later.)
 Try these arc length challenges. Do all four problems.
Lesson 107
 Review arc lengths. Do all problems.
 Remember how to find area of a circle?
 Learn to find areas of sectors and segments.
 Here are more examples. Skip if you are confident.
 Practice with sectors and segments. Do all Review problems, then check your answers. (Note: Will add the list pdf later.)
Lesson 108
 Learn about radians. Read the section “Radian Measure.”
 Convert between radians and degrees. Do all problems.
 Learn to find arc lengths and sector areas using radians.
 Find arc lengths using radians. Do all problems.
 Find sector areas using degrees or radians. Do all problems.
 Try these arc length challenges. Do all three problems.
Lesson 109
 Review areas of sectors. Do all problems.
 Learn to find areas of composite figures.
 Here are more examples (part 1, part 2). Skip if you are confident.
 Find areas of composite figures. Do all problems.
 Find areas of shaded regions. Do all problems.
 Find areas of composite figures involving circles. Do all problems.
Lesson 110
 Catch up if you are behind. Review lessons that caused you trouble.
 If you don’t need to catch up, review the section Perimeters and Areas. Here are activities you can use:
 Play Jeopardy: Angles and areas of polygons and circles
 Play Jeopardy: Perimeters and areas of similar figures
 Play Jeopardy: Arc length and areas of sectors
Surface Areas and Volumes
Lesson 111
 Learn about polyhedrons.
 Identify parts of solids. Do all problems.
 Identify solids. Do all problems.
 Identify nets of solids. Do all problems.
 Practice with polyhedrons. Do all Review problems, then check your answers. (Note: Will add the list pdf later.)
Lesson 112
 Review areas of regular polygons. Do problems 1 and 3.
 Learn to find surface areas of prisms and cylinders.
 Here are more examples. Skip if you are confident.
 Find surface areas of prisms and cylinders. Do all problems. (Video solutions: part 1, part 2)
Lesson 113
 Review areas of sectors and segments. Do problems 1 and 3.
 Learn to find surface areas of pyramids and cones.
 Here are more examples on surface areas of pyramids and surface areas of cones. Skip if you are confident.
 Find surface areas of pyramids and cones. Do all problems. (Video solutions: part 1, part 2)
Lesson 114
 Review areas of regular polygons. Do problems 2 and 4.
 Read about Cavalieri’s Principle.
 Apply Cavalieri’s Principle. Do all problems.
 Learn to find volumes of prisms and cylinders.
 Here are more examples. Skip if you are confident.
 Find volumes of prisms and pyramids. Do problems 1 through 10. (Video solutions: part 1, part 2)
Lesson 115
 Review areas of sectors and segments. Do problems 2 and 4.
 Learn to find volumes of pyramids and cones.
 Here are more examples. Skip if you are confident.
 Find volumes of pyramids and cones. Do all problems. (Video solutions: part 1, part 2)
Lesson 116
 Review volumes of cylinders. Do all problems.
 Review volumes of cones. Do all problems.
 Learn to find surface areas and volumes of spheres.
 Read about how these sphere formulas are derived if you are interested.
 Here are more examples. Skip if you are confident.
 Find surface areas and volumes of spheres. Do odd problems. (Video solutions: part 1, part 2)
Lesson 117
 Review perimeters and areas of similar polygons. Do problems 1 through 3.
 Learn about measurements in similar solids.
 Find missing measures of similar solids. Do all problems. (Video solutions: part 1, part 2)
Lesson 118
 Review the formulas for surface area and volume if you need.
 Learn to find surface areas and volumes of composite solids.
 Find volumes of composite solids. Do Review problems 1 through 9 and 14 through 22, then check your answers. Study the examples on the page if you need more help. (Note: Will add the list pdf later.)
Lesson 119
 Learn about cross sections and solids of revolutions.
 Here are more examples. Skip if you are confident.
 Identify cross sections of solids. Do all problems.
 Related 2D shapes in 3D. Do all problems.
 Practice with solids of revolutions. Do Review problems 1 through 12, then check your answers. (Note: Will add the list pdf later.)
Lesson 120
 Learn to apply volumes of solids.
 Solve volume word problems. Do all problems.
 Learn to apply surface areas of solids.
 Solve surface area word problems. Do all problems.
 Learn about area density.
 Learn about volume density.
 Solve density word problems. Do all problems.
Lesson 121
 Catch up if you are behind. Review lessons that caused you trouble.
 If you don’t need to catch up, review the section Surface Areas and Volumes. Here are activities you can use:
 Play Jeopardy: Surface areas of solids
 Play Jeopardy: Volumes of solids
 Play Jeopardy: Surface areas, volumes, and cross sections
Coordinate Geometry
Lesson 122
 Review the Pythagorean theorem. Do all problems.
 Learn about the distance formula.
 Practice using the distance formula. Do all problems.
 Learn about the midpoint formula.
 Practice using the midpoint formula. Do all problems.
Lesson 123
 Review the distance formula. Get four problems
 Review the midpoint formula. Do all problems.
 Learn to partition line segments.
 Here are more examples. Skip if you are confident.
 Practice partitioning line segments. Do all problems.
Lesson 124
 Review finding slopes from equations. Do all problems.
 Review writing equations in any form. Do all problems.
 Learn about equations of parallel and perpendicular lines.
 Here are more examples on identifying parallel and perpendicular lines and writing equations of parallel and perpendicular lines. Skip if you are confident.
 Practice with parallel and perpendicular lines. Do all problems.
Lesson 125
 Review solving systems of equations graphically. Do all problems.
 Review equations of parallel and perpendicular lines. Do all problems.
 Learn to find the distance between a point and a line.
 Learn to find the distance between two parallel lines.
 Find the distance between a point and a line. Do all problems.
Lesson 126
 Review the distance formula. Get four problems
 Review slopes of parallel and perpendicular lines. Do all problems.
 Learn to find areas on the coordinate plane.
 Find areas and perimeters on the coordinate plane. Do all problems.
 Learn to classify figures with coordinates.
 Classify figures by coordinates. Do all problems.
Lesson 127
 Learn about standard equations of circles. Read and study the examples.
 Graph a circle from its features. Do all problems.
 Identify features of a circle from its graph. Do all problems.
 Identify features of a circle from its standard equation. Do all problems.
 Graph a circle from its standard equation. Do all problems.
 Write standard equation of a circle. Do all problems.
Lesson 128
 Review completing the square. Do all problems.
 Learn about general equations of circles. Read about “General Form” and study the examples.
 Graph a circle from its expanded equation. Do all problems.
 Practice with equations of circles. Do all problems.
Lesson 129
 Learn about coordinate proofs.
 Practice with coordinate proofs. Do all problems.
Lesson 130
 Read about coordinate proofs with variables.
 Read aloud the theorems listed below to remind you of what they are. (Note: Will add the pdf later.)
 Write coordinate proofs. Try to work out each problem on your own.
 Theorem 56.1: Parallelogram Opposite Sides Theorem
 Theorem 58.3: Rectangle Diagonals Theorem
 Theorem 59.3: Isosceles Trapezoid Diagonals Theorem
 Theorem 46.1: Triangles Midsegment Theorem
 The midpoint of the hypotenuse of a right triangle is equidistant from each of the vertices.
Lesson 131
 Catch up if you are behind. Review lessons that caused you trouble.
 If you don’t need to catch up, review the section Coordinate Geometry. Here are activities you can use:
 Play Jeopardy: Equations of parallel and perpendicular lines
 Play Jeopardy: Equations of circles
 Play Jeopardy: Coordinate proofs
Quarterly Review
Lesson 132
 Do the worksheets to review the first quarter. (Note: Will add the pdf later.)
 Review what you missed and why.
Lesson 133
 Do the worksheets to review the second quarter. (Note: Will add the pdf later.)
 Review what you missed and why.
Lesson 134
 Do the worksheets to review the third quarter. (Note: Will add the pdf later.)
 Review what you missed and why.
Lesson 135
 Do the worksheets to review the third quarter. (Note: Will add the pdf later.)
 Review what you missed and why.
Constructions
Lesson 136
 Read about construction.
 Get the following tools.
 Compass: Check out ways to draw a circle without a compass if you don’t have one.
 Straightedge: You can use a ruler but all markings must be ignored.
 Ruler: You will use it to check your work.
 Protractor: You will use it to check your work.
 Learn to construct congruent segments.
 Learn to construct congruent angles.
 Construct congruent segments. Do problems 1 through 4. (Video solutions: all problems)
 You don’t need to print out these worksheets. For each problem, draw a diagram similar to the given one and do the construction.
 After the construction, always check your work with a ruler and a protractor.
 Construct congruent angles. Do problems 1, 3, 4, and 5. (Video solutions: all problems)
Lesson 137
 Learn to construct perpendicular bisectors.
 Learn to construct angle bisectors.
 Construct perpendicular bisectors. Do problems 5, 7, and 8. (Video solutions: all problems)
 Construct angle bisectors. Do problems 1 through 4. (Video solutions: all problems)
 Practice with proofs involving segments and angles. Do all problems.
Lesson 138
 Learn to construct parallel lines through a point.
 Learn to construct perpendicular lines through a point.
 Construct parallel and perpendicular lines. Do problems 9 through 12. (Video solutions: all problems)
 Practice with constructions. Do all problems.
Lesson 139
 Learn to construct equilateral triangles.
 Learn to construct squares.
 Learn to construct special angles.
 Do each construction on your own. Use only a compass and a straightedge. Check your work with a ruler and a protractor.
 Practice with constructions. Do all problems.
Lesson 140
 Learn to construct inscribed squares.
 Learn to construct inscribed regular hexagons.
 Do each construction on your own. Use only a compass and a straightedge. Check your work with a ruler and a protractor.
 Practice with constructions. Do all problems.
Lesson 141
 Learn to construct the circumcenter of a triangle.
 Learn to construct the incenter of a triangle.
 Learn to construct the centroid of a triangle.
 Learn to construct the orthocenter of a triangle.
 Do each construction on your own. Use only a compass and a straightedge. Check your work with a ruler and a protractor.
 Construct a right triangle. Here are the steps if you need help.
 Construct the circumcenter of your triangle. If your construction is correct, then your circumcenter will be on the hypotenuse. Here are the steps if you need help.
 Construct an obtuse triangle and its orthocenter. If your construction is correct, then your orthocenter will be outside the triangle. Here are the steps if you need help.
 Review points of concurrency. Do all problems.
Lesson 142
 Learn to construct a tangent to a point on a circle.
 Learn to construct a tangent from a point outside a circle.
 Do each construction on your own. Use only a compass and a straightedge. Check your work with a ruler and a protractor.
 Draw a circle of any radius. Take a point anywhere on your circle. Construct a tangent to the circle at the point.
 Draw a circle of any radius. Take a point anywhere outside your circle. Construct two tangents to the circle from the point. If your construction is correct, then the two tangents will have equal lengths.
 Review tangents to circles. Do all problems.
Lesson 143
 Catch up if you are behind. Review lessons that caused you trouble.
 If you don’t need to catch up, review the section Constructions. Here are activities you can use:
 Review Practice: Identifying constructions
 Review Practice: Applying your construction skills
Probability
Lesson 144
 What is probability? Watch or read if you need a reminder.
 Find simple probability. Do problems 1 through 5.
 What is experimental probability? Watch or read if you need a reminder.
 Find theoretical and experimental probability. Do all problems.
 Learn about the complementary rule of probability.
 Find experimental probability and complementary probability. Do all problems.
Lesson 145
 Review simple probability. Do all problems.
 Review basic probability terms. Read aloud each definition.
 Review sample spaces and tree diagrams if you need a reminder.
 Review the counting principle if you need a reminder.
 Count outcomes of events. Do all problems. Be sure to pause the video and work out each problem on your own.
 Here is another counting problem with various conditions: Count the number of 4letter codes from 6 letters with various conditions. Do the problem on your own.
Lesson 146
 Review the counting principle. Do all problems.
 Learn about probability of independent events.
 Find probability of independent events. Do all problems.
 Do more practice with independent probability. Do all problems.
Lesson 147
 Review independent probability. Do all problems.
 Learn about probability of independent and dependent events.
 Find probability with and without replacement. Do all problems on your own.
 Do more practice with independent and dependent probability. Do problems 1 through 8. (Video solutions: part 1)
Lesson 148
 Review dependent probability. Do all problems.
 Learn about probability of mutually exclusive (or disjoint) and overlapping events.
 Remember, you can always find probability by count outcomes instead of using the formula. Compare the two examples below.
 Find the probability by counting the outcomes.
 Find the probability using the probability formula.
 Find mutually exclusive and overlapping probability. Do all problems on your own.
 Do more practice with mutually exclusive and overlapping probability. Do problems 1 through 8. (Video solutions: part 1)
Lesson 149
 Review the complement rule of probability. Be sure to understand the examples.
 Review the multiplication rule of probability. Be sure to understand the examples.
 Review the addition rule of probability. Be sure to understand the examples.
 Find “AND” and “OR” probability. Do all problems.
 Sometimes it is just easier to count outcomes. Do all problems on your own.
Lesson 150
 Learn about sets and Venn diagrams.
 Perform basic set operations. Do all problems.
 Learn about probability with sets.
 Find probability from Venn diagrams. Do all problems.
 Find probability involving sets. Do all problems.
Lesson 151
 Learn about twoway tables.
 Create twoway tables. Do all problems.
 Learn about probability with twoway tables.
 Find probability involving twoway tables. Do all problems.
 Find probability involving sets and twoway tables. Do all problems.
Lesson 152
 Learn about conditional probability.
 Find conditional probability. Do all problems.
 Learn to check for independence with conditional probabilities.
 Study another example. Skip if you are confident.
 Identify dependent and independent events. Do all problems.
Lesson 153
 Review shaded area. Do all problems.
 Learn about geometric probability involving lengths.
 Learn about geometric probability involving areas.
 Find probability involving lengths and areas. Do all problems on your own.
 Here are five more reallife problems. Do all problems on your own.
Lesson 154
 Learn about probability distribution.
 Learn to find probabilities from a probability distribution.
 Find probabilities from a probability distribution. Do all problems.
 Learn about expected value.
 Find expected value. Do all problems.
 Learn to interpret expected value.
 Interpret expected value. Do all problems.
 Learn to calculate expected payoff.
 Find expected payoffs. Do all problems.
Lesson 155
 Read the following sentences:
 A permutation is an arrangement of items in a particular order.
 A combination is an arrangement of items in which order does not matter.
 Find the number of permutations and combinations using the counting principle. Do all problems on your own. Stop at Formulas.
Lesson 156
 Do a real quick review on factorial.
 Learn about permutation formula.
 Learn about combination formula.
 Here are more examples on permutations and combinations. Skip if you are confident.
 Find the number of permutations and combinations using the formulas. Do all problems. (Video solutions: all problems)
Lesson 157
 Learn about probability with permutations and combinations.
 Find probability using permutations and combinations. Do all problems. (Video solutions: all problems)
Lesson 158
 Catch up if you are behind. Review lessons that caused you trouble.
 If you don’t need to catch up, review the section Constructions. Here are activities you can use:
 Play Jeopardy: Compound probability
 Play Jeopardy: Probability with sets and twoway tables
 Play Jeopardy: Permutations and combinations
Review: All Topics in Geometry
Lesson 159
 It is time for the endofyear review. You will be solving two pages of review for each section. Workedout answers are attached.
 Some worksheets have problems marked “HONORS.” They are optional. Try them if you are up for a challenge.
 Do the worksheets to review the section Geometry Basics. (Note: Will add the workbook pdf later.)
 Review what you missed and why.
Lesson 160
 Do the worksheets to review the section Transformations. (Note: Will add the pdf later.)
 Review what you missed and why.
Lesson 161
 Do the worksheets to review the section Reasonings and Proofs. (Note: Will add the pdf later.)
 Review what you missed and why.
Lesson 162
 Do the worksheets to review the section Congruent Triangles. (Note: Will add the pdf later.)
 Review what you missed and why.
Lesson 163
 Do the worksheets to review the section Properties of Triangles. (Note: Will add the pdf later.)
 Review what you missed and why.
Lesson 164
 Do the worksheets to review the section Properties of Quadrilaterals. (Note: Will add the pdf later.)
 Review what you missed and why.
Lesson 165
 Do the worksheets to review the section Similar Triangles. (Note: Will add the pdf later.)
 Review what you missed and why.
Lesson 166
 Do the worksheets to review the section Right Triangles & Trigonometry. (Note: Will add the pdf later.)
 Review what you missed and why.
Lesson 167
 Do the worksheets to review the section Circles. (Note: Will add the pdf later.)
 Review what you missed and why.
Lesson 168
 Do the worksheets to review the section Perimeters and Areas. (Note: Will add the pdf later.)
 Review what you missed and why.
Lesson 169
 Do the worksheets to review the section Surface Areas and Volumes. (Note: Will add the pdf later.)
 Review what you missed and why.
Lesson 170
 Do the worksheets to review the section Coordinate Geometry. (Note: Will add the pdf later.)
 Review what you missed and why.
Lesson 171
 Do the worksheets to review the section Constructions. (Note: Will add the pdf later.)
 Review what you missed and why.
Lesson 172
 Do the worksheets to review the section Probability. (Note: Will add the pdf later.)
 Review what you missed and why.
Lesson 173
 Do the worksheets to review the 1^{st} and 2^{nd} (Note: Will add the pdf later.)
 Review what you missed and why.
Lesson 174
 Do the worksheets to review the 3^{rd} and 4^{th} (Note: Will add the pdf later.)
 Review what you missed and why.
Final Exam
Lesson 175
 There is a final exam in Lesson 180. A practice test is available in Lesson 179 to help you get ready. You can take the practice test any time before the exam.
 Study on your own. Review lessons that caused you trouble. Solve the questions you missed and understand why you missed them.
 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 exam.
Lesson 176
 Study on your own. Review lessons that caused you trouble. Solve the questions you missed and understand why you missed them.
 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 exam.
Lesson 177
 Study on your own. Review lessons that caused you trouble. Solve the questions you missed and understand why you missed them.
 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 exam.
Lesson 178
 Study on your own. Review lessons that caused you trouble. Solve the questions you missed and understand why you missed them.
 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 exam.
Lesson 179
 This is a practice test for your final exam. It is usually a good practice to take a practice test just like a real exam. Read the directions below in Lesson 180.
 When you are ready, take your practice test. (Note: Will add the pdf later.)
 Check your answers and review what you missed. (Note: Will add the pdf later.)
Lesson 180
 Before the test:
 Take 10 minutes to review your notes.
 Get a calculator and blank sheets of paper for your calculations.
 Keep in mind:
 There are 35 questions on the test.
 You may use a calculator throughout the exam.
 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.
 When you are ready, take your midterm exam. (Note: Will add the pdf later.)
 After the test:
 Use the grading sheet from your midterm exam.
 Grade your exam. Calculate and record your score on your grading sheets. See the grading sheet for the details. (Note: Will add the pdf later.)
 Calculate your grade for the course. See the grading sheet for the details.
 Save your work for your portfolio. Save your exam.
 Congratulations on completing Geometry!
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