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8 th Grade MATH (Grade Level & GT) Day Standard/ Objective Activity Da y 1 8.GM.1 Investigate the properties of rigid transformations (rotations, reflections, translations) using a variety of tools (e.g., grid paper, reflective devices, graphing paper, technology). 8.GM.5 Extend and apply previous knowledge of angles to properties of triangles, similar figures, and parallel lines cut by a transversal. 1. Complete 20-25 minutes of Edmentum in your individualized learning path daily. 2. Watch the video(s) on the worksheet provided to review the lesson. 3. Complete the practice problems from the worksheet “Four Square Activity – Angles, Translations, & Reflections” ***You may use the practice graph template for practice as needed Da y 2 8.GM.1 Investigate the properties of rigid transformations (rotations, reflections, translations) using a variety of tools (e.g., grid paper, reflective devices, graphing paper, technology). 8.GM.4 Apply the properties of transformations (rotations, 1. Complete 20-25 minutes of Edmentum in your individualized learning path daily. 2. Watch the video(s) on the worksheet provided to review the lesson. 3. Complete the practice problems from the worksheet “Rotations & Dilations” ***You may use the practice graph template for practice as needed

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Page 1: Dorchester School District Two / Homepage · Web viewDay 2 8.GM.1 Investigate the properties of rigid transformations (rotations, reflections, translations) using a variety of tools

8th Grade MATH (Grade Level & GT)

Day Standard/Objective Activity

Day 1

8.GM.1 Investigate the properties of rigid transformations (rotations, reflections, translations) using a variety of tools (e.g., grid paper, reflective devices, graphing paper, technology).

8.GM.5 Extend and apply previous knowledge of angles to properties of triangles, similar figures, and parallel lines cut by a transversal.

1. Complete 20-25 minutes of Edmentum in your individualized learning path daily.

2. Watch the video(s) on the worksheet provided to review the lesson.3. Complete the practice problems from the worksheet “Four Square Activity –

Angles, Translations, & Reflections”***You may use the practice graph template for practice as needed

Day 2

8.GM.1 Investigate the properties of rigid transformations (rotations, reflections, translations) using a variety of tools (e.g., grid paper, reflective devices, graphing paper, technology).

8.GM.4 Apply the properties of transformations (rotations, reflections, translations, dilations).

1. Complete 20-25 minutes of Edmentum in your individualized learning path daily.

2. Watch the video(s) on the worksheet provided to review the lesson.3. Complete the practice problems from the worksheet “Rotations & Dilations”

***You may use the practice graph template for practice as needed

Day 3

8.EEI.6 Apply concepts of slope and 𝑦-intercept to graphs, equations, and proportional relationships.

1. Complete 20-25 minutes of Edmentum in your individualized learning path daily.

2. Watch the Khan Academy Video: https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:linear-equations-graphs/x2f8bb11595b61c86:slope/v/introduction-to-slope

3. Complete the following handout: “Slope Review”

Day 4

8.F.3 Investigate the differences between linear and nonlinear functions using multiple representations (i.e. tables, graphs, equations, and verbal descriptions).

1. Complete 20-25 minutes of Edmentum in your individualized learning path daily.

2. Watch the video(s) on the worksheet provided to review the lesson.3. Complete the practice problems from the worksheet “Linear vs. Nonlinear”

Day 5

8.EEI.7 Extend concepts of linear equations and inequalities in one variable to more complex multi-step equations and inequalities in real-world and mathematical situations.

1. Complete 20-25 minutes of Edmentum in your individualized learning path daily.

2. Watch the video on solving equations for one, no, or infinitely many solutions - https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:solve-equations-inequalities/x2f8bb11595b61c86:num-solutions-linear-equations/v/number-of-solutions-to-linear-equations

3. Complete the practice: Linear Equations Practice (One, no, or infinite solutions)

Page 2: Dorchester School District Two / Homepage · Web viewDay 2 8.GM.1 Investigate the properties of rigid transformations (rotations, reflections, translations) using a variety of tools

Day 1 Four Square Activity – Angles, Translations, & Reflections Name _______________________________

Directions: Use these links to review angle relationships, translations, and reflections. Then complete the problems below.

https://www.khanacademy.org/math/basic-geo/basic-geo-angle/angles-between-lines/v/figuring-out-angles-between-transversal-and-parallel-lines

https://www.youtube.com/watch?v=Q22bWwf5Fqg

Box 1 – Angle Relationships. Answer #1-3 below. Box 2 – Translations. Complete the translation problems below.

1) Translate triangle IXE 5 units right and 2 units up.

2) Point X is located at (0,-5). It is translated using the following rule: (x – 4, y + 3). Find the location of X’.

X’ ( , )

Page 3: Dorchester School District Two / Homepage · Web viewDay 2 8.GM.1 Investigate the properties of rigid transformations (rotations, reflections, translations) using a variety of tools

Box 3 - Parallel Lines Cut By a Transversal. Solve for x.

Box 4 – Reflection Practice. Complete #1-3 below.

Day 2 Rotations & Dilations Name:________________________________

Rotations Review:

90° rotations: (x,y) -> (y,x) *Think about the direction of the rotation to determine what quadrant & signs your new ordered pair will have. Use the 4 quadrants to the right to help if needed.

180° rotations: (x,y) -> (-x,-y) *Your ordered pairs become the opposite sign.

J ( , )

H ( , )

Q ( , )

J’ ( , )

H’ ( , )

Q’ ( , )

S ( , )

B ( , )

I ( , )

S’ ( , )

B’ ( , )

I’ ( , )

B ( , )

F ( , )

H ( , )

U ( , )

Page 4: Dorchester School District Two / Homepage · Web viewDay 2 8.GM.1 Investigate the properties of rigid transformations (rotations, reflections, translations) using a variety of tools

Dilations Review

Watch the following video to review dilations, then complete the problems below:

https://www.youtube.com/watch?v=VvHlnupQelI

1)

2)

B ( , )

F ( , )

H ( , )

U ( , )

Page 5: Dorchester School District Two / Homepage · Web viewDay 2 8.GM.1 Investigate the properties of rigid transformations (rotations, reflections, translations) using a variety of tools

3)

Day 3 - Slope review NAME _____________________________

Watch the following video as a review:

https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:linear-equations-graphs/x2f8bb11595b61c86:slope/v/introduction-to-slope

Page 6: Dorchester School District Two / Homepage · Web viewDay 2 8.GM.1 Investigate the properties of rigid transformations (rotations, reflections, translations) using a variety of tools

5) 6)

7) 8)

9)10)

11)12)

13) 14)

15) 16)

Page 7: Dorchester School District Two / Homepage · Web viewDay 2 8.GM.1 Investigate the properties of rigid transformations (rotations, reflections, translations) using a variety of tools

Day 4 Linear Vs. Nonlinear Name:_____________________________________

https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-linear-equations-functions/linear-nonlinear-functions-tut/v/interpreting-a-graph-exercise-example

Determine if the following is a linear or nonlinear function. Write your answer under the equation, graph, or table.

1) x = 6 9) 13)

2) y = 2x² + 3

3) y = 4

10) 14)

4) y = x⁰

5) y = 3x + 5 – 2x

11) 15)

Page 8: Dorchester School District Two / Homepage · Web viewDay 2 8.GM.1 Investigate the properties of rigid transformations (rotations, reflections, translations) using a variety of tools

6) 2x + 4y = 10

7) y = 3x 12) 16)

8) y = x5

Day 5 Name:__________________________________

Linear Equations Practice (One, no, or infinite solutions)

2.

Page 9: Dorchester School District Two / Homepage · Web viewDay 2 8.GM.1 Investigate the properties of rigid transformations (rotations, reflections, translations) using a variety of tools

-5 0 5 -5 0 5

-5 0 5 -5 0 5 -5 0 5

-10 -5 0 5 10 -10 -5 0 5 10 -10 -5 0 5 10

-5 0 5 -5 0 5 -5 0 5

Day 6 Name________________________

GRAPHING INEQUALITIES

Directions: Solve each inequality and then graph the solution on the number line. For all “less than” inequalities, you should draw your line to the left. For all “greater than” inequalities, draw your solution to the right. Shade your circle in whenever you see or .

Examples: 3x - 1 > -7

x > -2

1) 2) 3x - 16 > -25 3)

4) 5) 9x + 32 < 95 6) 8x - 37 < -45

7) 2x + 16 > 12 8) 5x - 9 > -24 9) 6x + 52< 76

Page 10: Dorchester School District Two / Homepage · Web viewDay 2 8.GM.1 Investigate the properties of rigid transformations (rotations, reflections, translations) using a variety of tools

-5 0 5 -5 0 5 -5 0 5

-10 -5 0 5 10 -10 -5 0 5 10 -10 -5 0 5 10

10) 11) 12) -2x + 2 < 8

Day 7 - Volume

Name:______________________________________

Practice Problems for the Volume of a cylinder, cone, and sphere.

Show all work for full credit.

Page 11: Dorchester School District Two / Homepage · Web viewDay 2 8.GM.1 Investigate the properties of rigid transformations (rotations, reflections, translations) using a variety of tools

Complete the remaining problems from the link below. Show all work for full credit: (Note: please ignore the information in parenthesis as: (SE or SBAC)

http://rpdp.net/admin/images/uploads/resource_10212.pdf

Day 8 – Surface Area

Page 12: Dorchester School District Two / Homepage · Web viewDay 2 8.GM.1 Investigate the properties of rigid transformations (rotations, reflections, translations) using a variety of tools

Day 9 – Rational Numbers

Operations with Rational Numbers: Watch the Kahn Academy video on rational number operations: https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-negative-numbers-multiply-and-divide/cc-7th-mult-div-fractions-2/v/rational-number-expressions

Page 13: Dorchester School District Two / Homepage · Web viewDay 2 8.GM.1 Investigate the properties of rigid transformations (rotations, reflections, translations) using a variety of tools

Day 10 - 8 th Grade Review: Functions, Slope, Equations Name ____________________________

1) Which linear function has the steepest slope?

Page 14: Dorchester School District Two / Homepage · Web viewDay 2 8.GM.1 Investigate the properties of rigid transformations (rotations, reflections, translations) using a variety of tools

2)

3)

4)

5)

6)

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7)

8)

9)

10)