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Rising 8th Graders in Algebra

Self Guided Math Course

Summer 2022

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Welcome to your Summer Math Review Course!

In this course you will find instructions, resources and activities to help you review key math ideas over the summer. Mastery of the concepts in this summer review are important for your success next year. This course will use the following online resources:Videos, BIM Resources, Illustrative math tasks, Legends of Learning Games and other tasks and interactive sites.

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Important Information

1. Videos, activities, answer keys and interactive sites are directly linked into the directions.

2. Students can create a free account with Legends of Learning to access game playlists. Go to www.legendsoflearning.com Click on "Free Account Now" Click on "Student Play Now" Click on "Play Teacher Playlist" Enter the teacher code: lolgames

You will then be prompted to create a username and password. You will use this user name and password to access the playlists in your activities. Please write your user name and password down as you will be using it all summer.

3. For questions or concerns please feel free to contact: Mrs. Hohenshilt bhohenshilt@freeholdtwp.k12.nj.us or Mrs. Fern jfern@freeholdtwp.k12.nj.us

The district is open Tuesday to Friday during July and August. We will do our best to respond in a timely manner.

Study hard, be well and take time to relax.

Mrs. Hohenshilt and Mrs. Fern

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Course Units

Unit One: Solving Equations and Rewriting Equation/Formulas

Slides 5-7 (estimated time 1 week)

Unit Two: Graphing and Writing Linear Equations

Slides 8-12 (estimated time 2 weeks)

Unit Three: Square Roots, Exponents and Scientific Notation

Slides 13-20(estimated time 2 weeks)

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Unit 1: Estimated time - 1 week

Unit One: Solving Equations and Rewriting Equation/Formulas

  • 1.3 Solving Equations with Variables on Both Sides
  • 1.4 Rewriting Equations and Formulas

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Use the resources and activities below to review this math concept. Watch the Learn videos, read through the Lesson Introduction and Examples, and Complete the On Your Own Problems. Check your work as you go. Complete as many questions as needed to ensure an understanding of the content. Use the tutorials, games, and online interactivities to practice your skills.

1. Watch the linked videos lesson:

a) Solving Multi-Step Equations

b) Solve Equations with Variables on Both Sides

2. Review the lesson introduction and practice working through problems using these textbook resource links:

Big Ideas Text section 1.3 link section 1.3 answer key link

3. The following tutorials model how to do sample problems. Try doing the problem first and then watching the tutorial.

example problem 1 example problem 2 example problem 3

4. Log onto www.legendsoflearning.com. Enter the teacher code: lolgames. Select the "1.3 Solving Equations with Variables on Both Sides" playlist.

1.3 Solving Equations with Variables on Both Sides

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Use the resources and activities below to review this math concept. Watch the videos, read through the Lesson Introduction and Examples, and Complete the On Your Own Problems. Check your work as you go. Complete as many questions as needed to ensure an understanding of the content. Use the tutorials, games, and online interactivities to practice your skills.

1. Review the lesson introduction and practice working through problems using these textbook resource links:

Big Ideas Text section 1.4 link section 1.4 answer key link

3. The following tutorials model how to do sample problems. Try doing the problem first and then watching the tutorial.

example problem 1 example problem 2

example problem 3 example problem 4

4. Log onto www.legendsoflearning.com. Enter the teacher code: lolgames. Select the "1.3 Rewriting Equations and Formulas" playlist.

1.4 Rewriting Equations and Formulas

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Unit 2: Estimated time - 1 week

Unit Two: Graphing and Writing

Linear Equations

  • 4.1 Solving Linear Equations using Tables and Graphs
  • 4.2 Understanding Slope
  • 4.4 Graphing Linear Functions Using Slope and y-Intercept
  • 4.6 Graphing Linear Equations Using Slope Intercept Form

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Use the resources and activities below to review this math concept. Watch the videos, read through the Lesson Introduction and Examples, and Complete the On Your Own Problems. Check your work as you go. Complete as many questions as needed to ensure an understanding of the content. Use the tutorials, games, and online interactivities to practice your skills.

1. Watch the linked videos lesson:

a) Solve a Linear Equation by Making a Table and Graphing the Solutions

2. Review the lesson introduction and practice working through problems using these textbook resource links:

Big Ideas Text section 4.1 link section 4.1 answer key link

3. The following tutorials model how to do sample problems. Try doing the problem first and then watching the tutorial.

example problem 1 example problem 2 example problem 3

4.1 Solving Linear Equations using Tables and Graphs

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Use the resources and activities below to review this math concept. Watch the videos, read through the Lesson Introduction and Examples, and Complete the On Your Own Problems. Check your work as you go. Complete as many questions as needed to ensure an understanding of the content. Use the tutorials, games, and online interactivities to practice your skills.

1. Watch the linked videos lesson:

a) Describe a Line with a Unique Slope

b) Find the Slope of a Line on the Coordinate Plane

2. Review the lesson introduction and practice working through problems using these textbook resource links:

Big Ideas Text section 4.2 link section 4.2 answer key link

3. The following tutorials model how to do sample problems. Try doing the problem first and then watching the tutorial.

example problem 1 example problem 2

example problem 3 example problem 4

4.2 Understanding Slope

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Use the resources and activities below to review this math concept. Watch the videos, read through the Lesson Introduction and Examples, and Complete the On Your Own Problems. Check your work as you go. Complete as many questions as needed to ensure an understanding of the content. Use the tutorials, games, and online interactivities to practice your skills.

1. Watch the linked videos lesson:

a) Graph Linear Functions Using the Slope and Y-Intercept

2. Review the lesson introduction and practice working through problems using these textbook resource links:

Big Ideas Text section 4.4 link section 4.4 answer key link

3. The following tutorials model how to do sample problems. Try doing the problem first and then watching the tutorial.

example problem 1 example problem 2 example problem 3

4. Log onto www.legendsoflearning.com. Enter the teacher code: lolgames. Select the "4.4 Using Slope and y-Intercept to Graph Linear Equations" playlist.

4.4 Graphing Linear Functions Using Slope and y-Intercept

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Use the resources and activities below to review this math concept. Watch the videos, read through the Lesson Introduction and Examples, and Complete the On Your Own Problems. Check your work as you go. Complete as many questions as needed to ensure an understanding of the content. Use the tutorials, games, and online interactivities to practice your skills.

1. Watch the linked videos lesson:

a) Write the Equation of a Line in Slope-Intercept Form

2. Review the lesson introduction and practice working through problems using these textbook resource links:

Big Ideas Text section 4.6 link section 4.6 answer key link

3. The following tutorials model how to do sample problems. Try doing the problem first and then watching the tutorial.

example problem 1 example problem 2 example problem 3

4. Log onto www.legendsoflearning.com. Enter the teacher code: lolgames. Select the "4.6 Graphing a Line in Slope Intercept Form" playlist. In this game you will be applying all of the skills you have been practicing in this unit.

4.6 Writing Linear Equations in Slope Intercept Form

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Unit 3: Estimated time - 2 weeks

Unit Three: Square Roots, Exponents

and Scientific Notation

  • 7.1 Finding Square Roots
  • 10.1 Applying Exponents to Negative Numbers
  • 10.2 Product of Powers Property
  • 10.3 Quotient of Powers Property
  • 10.4 Zero and Negative Exponents
  • 10.5 Reading Scientific Notation
  • 10. 6 Writing Scientific Notation

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Use the resources and activities below to review this math concept. Watch the videos, read through the Lesson Introduction and Examples, and Complete the On Your Own Problems. Check your work as you go. Complete as many questions as needed to ensure an understanding of the content. Use the tutorials, games, and online interactivities to practice your skills.

1. Watch the linked videos lesson:

a) Find the Square Root of a Perfect Square

2. Review the lesson introduction and practice working through problems using these textbook resource links:

Big Ideas Text section 7.1 link section 7.1 answer key link

3. The following tutorials model how to do sample problems. Try doing the problem first and then watching the video to check your work.

example problem 1 example problem 2 example problem 3

4. Learn about how square roots are involved in the design of skate parks. Exploring Square Roots Video and Interactive You can complete this interactive online or print the worksheet provided on the Math Interactives site.

7.1 Finding Square Roots

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Use the resources and activities below to review this math concept. Watch the videos, read through the Lesson Introduction and Examples, and Complete the On Your Own Problems. Check your work as you go. Complete as many questions as needed to ensure an understanding of the content. Use the tutorials, games, and online interactivities to practice your skills.

1. Watch the linked videos lesson:

a) Apply Exponents to Negative Bases

2. Review the lesson introduction and practice working through problems using these textbook resource links:

Big Ideas Text section 10.1 link section 10.1 answer key link

3. The following tutorials model how to do sample problems. Try doing the problem first and then watching the tutorial.

example problem 1 example problem 2

4. Log onto www.legendsoflearning.com. Enter the teacher code: lolgames. Select the "10.1 Applying Exponents to Negative Bases" playlist.

10.1 Applying Exponents to Negative Numbers

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Use the resources and activities below to review this math concept. Watch the videos, read through the Lesson Introduction and Examples, and Complete the On Your Own Problems. Check your work as you go. Complete as many questions as needed to ensure an understanding of the content. Use the tutorials, games, and online interactivities to practice your skills.

1. Review the lesson introduction and practice working through problems using these textbook resource links:

Big Ideas Text section 10.2 link section 10.2 answer key link

2. The following tutorials model how to do sample problems. Try doing the problem first and then watching the tutorial.

example problem 1 example problem 2

10.2 Product of Powers Property

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Use the resources and activities below to review this math concept. Watch the videos, read through the Lesson Introduction and Examples, and Complete the On Your Own Problems. Check your work as you go. Complete as many questions as needed to ensure an understanding of the content. Use the tutorials, games, and online interactivities to practice your skills.

1. Review the lesson introduction and practice working through problems using these textbook resource links:

Big Ideas Text section 10.3 link section 10.3 answer key link

2. The following tutorials model how to do sample problems. Try doing the problem first and then watching the tutorial.

example problem 1 example problem 2

example problem 3 example problem 4

3. Practice all of the Laws of Exponents while exploring an archeological dig. Exploring Laws of Exponents

10.3 Quotient of Powers Property

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Use the resources and activities below to review this math concept. Watch the videos, read through the Lesson Introduction and Examples, and Complete the On Your Own Problems. Check your work as you go. Complete as many questions as needed to ensure an understanding of the content. Use the tutorials, games, and online interactivities to practice your skills.

1. Watch the linked videos lesson:

a) Zero and Negative Exponents Simplify Expressions with Negative Exponents Stop video at 3:30

2. Review the lesson introduction and practice working through problems using these textbook resource links:

Big Ideas Text section 10.4 link section 10.4 answer key link

3. The following tutorials model how to do sample problems. Try doing the problem first and then watching the tutorial.

example problem 1 example problem 2 example problem 3

4. Log onto www.legendsoflearning.com. Enter the teacher code: lolgames. Select the "10.4 Zero and Negative Exponents" Playlist.

10.4 Zero and Negative Exponents

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Use the resources and activities below to review this math concept. Watch the videos, read through the Lesson Introduction and Examples, and Complete the On Your Own Problems. Check your work as you go. Complete as many questions as needed to ensure an understanding of the content. Use the tutorials, games, and online interactivities to practice your skills.

1. Review the lesson introduction and practice working through problems using these textbook resource links:

2. Big Ideas Text section 10.5 link section 10.5 answer key link

3. The following tutorials model how to do sample problems. Try doing the problem first and then watching the tutorial.

example problem 1 example problem 2

example problem 3 example problem 4

4. This Math Interactive, Exploring Exponents and Scientific Notation, is a great way to practice comparing an ordering numbers written in scientific notation.

5. Log onto www.legendsoflearning.com. Enter the teacher code: lolgames. Select the "10.5 Reading Scientific Notation " playlist.

10.5 Reading Scientific Notation

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Use the resources and activities below to review this math concept. Watch the videos, read through the Lesson Introduction and Examples, and Complete the On Your Own Problems. Check your work as you go. Complete as many questions as needed to ensure an understanding of the content. Use the tutorials, games, and online interactivities to practice your skills.

1. Review the lesson introduction and practice working through problems using these textbook resource links:

2. Big Ideas Text section 10.6 link section 10.6 answer key link

3. The following tutorials model how to do sample problems. Try doing the problem first and then watching the tutorial.

example problem 1 example problem 2

example problem 3 example problem 4

4. Log onto www.legendsoflearning.com. Enter the teacher code: lolgames. Select the "10.6 Writing Scientific Notation " playlist.

10. 6 Writing Scientific Notation