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  • 7.1 Finding Square Roots
    • Notes
    • Practice- Squares and Square Roots Pixel Art
    • Approximating Square Roots ‘Warm Up’
    • Activity - Gimkit
  • Khan Academy:
    • Square Roots
    • Roots with Decimals and Fractions

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CHAPTER 7

REAL NUMBERS AND PYTHAGOREAN THEOREM

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What You Learned Before

COMPARING DECIMALS�

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Using Order of Operations

PEMDAS → Please Excuse My Dear Aunt Sally�������

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TO DO

Homework: RPJ p141-142

KHAN ACADEMY � - Order of Operations� - Order of Operations Challenge

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7.1 Finding Square Roots

Square root- a number that when multiplied by itself equals the given number� **every positive number has a positive and negative square root

Perfect square - a number with integers as its square roots�

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Finding Square Roots of a Perfect Square

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Radical sign - the sign used to represent a square root

�

Radicand - the number under the radical sign�

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Finding Square Roots

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→ Squaring a positive number AND finding the a square root are inverse operations�� = 25 = 5��

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Evaluating Expressions Involving Square Roots

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Real-Life Application

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TO DO

AROUND THE WORLD

GIMKIT

KHAN ACADEMY � - Square Roots� - Roots of Decimals and Fractions

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  • 7.1 Exit Ticket
  • 7.2 Finding Cube Roots
    • Notes
    • Practice- Cube and CUbe Root Self Checking WS
    • Activity- Square Roots and Cube Roots Puzzle
    • Activity - Gimkit
  • Khan Academy:
    • Cube Roots

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7.2 Finding Cube Roots

Cube root - a number that, when multiplied by itself and then multiplied by itself again, equals the given number

Perfect cube - a number that can be written as a cube of an integer

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Finding Cube Roots

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→ Cubing a number and finding a cube root are inverse operations

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Evaluating Expressions Involving Cube Roots

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Evaluating an Algebraic Expression

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Real-Life Application

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🤞Check Up🤞

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TO DO

Self Checking Cube Root WS (on Canvas)

Square Root and Cube Root Puzzle

GIMKIT

�KHAN ACADEMY � - Cube Roots

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  • 7.2 Exit Ticket
  • Rational and Irrational Numbers
    • Notes
    • Practice-
      • Rational and Irrational # Bubble WS
      • Rational and Irrational # Sort and Order
      • Rational and Irrational Flash Cards
  • Khan Academy:
    • None

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  1. Logan Carner 13. Logan Lindsey
  2. - 14. Steven
  3. Porter 15. Rae
  4. Riley 16. -
  5. Will 17. Zach
  6. - 18. -
  7. Logan Nottingham 19. -
  8. - 20. -
  9. Ryan 21. Gio
  10. Hailey 22. -
  11. Aiden 23. Alex
  12. Ailey

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  • - 13. Ailey
  • - 14. Mika
  • - 15. -
  • Owin 16. Porter
  • - 17. Hailey
  • Avery 18. Brianna
  • - 19. Robert
  • Julian 20. -
  • Mason 21. Logan
  • Gio 22. -
  • Gianna 23. Lane
  • Zack

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  • Camorin 13. Caleb
  • - 14. Julian
  • Lyn 15. Jesse
  • - 16. Loki
  • Gianna 17. -
  • Kellen 18. -
  • Robert 19. -
  • - 20. -
  • Juan 21. Kaylee
  • Carter 22. Jayden
  • Keegan 23. -
  • Amanda

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  • Owin 13. Johnny
  • - 14. Layla
  • Sebastian 15. Brianna
  • - 16. Payton
  • Autumn 17. Claire
  • Hailey 18. -
  • Zack 19. -
  • Bailey 20. -
  • Joel 21. Xzavior
  • Mika 22. -
  • Masen 23. Connor
  • Julia

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Rational numbers - can be written as the ratio of two integers

Irrational numbers - cannot be written as a ratio of two integers

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Real numbers - all rational and irrational numbers

�

Repeats, terminates Doesn’t repeat or terminate

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TO DO

  1. Rational and Irrational Bubble WS

  • Rational and Irrational Card Sort

  • Rational and Irrational Flash Cards

GIMKIT

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  • Rational and Irrational Numbers Exit Ticket
  • 7.4 Approximating Square Roots
    • Notes
    • Practice- Estimating Square Roots Number Line
  • Khan Academy:
    • Approximating Square Roots
    • Comparing Irrational Numbers with a Calculator

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7.4 Approximating Square Roots

Rational numbers - can be written as the ratio of two integers

Irrational numbers - cannot be written as a ratio of two integers

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Real numbers - all rational and irrational numbers

�

Repeats, terminates Doesn’t repeat or terminate

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Approximating a Square Root

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  • Rational and Irrational Exit Ticket(2)
  • Approximating Square Roots Review
    • Released PSSA Open Ended Question
    • Practice- Truths and Lies
    • Activity- Estimating Square Roots Digital Activity
  • Khan Academy:
    • None

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  • 7.4 Exit Ticket
  • 7.4 Extension: Repeating Decimals
    • Notes
    • Practice- 7.5 Extension Practice WS (ODDS)
    • Activity -Repeating Decimals Puzzle
  • Khan Academy:
    • Writing Fractions as Repeating Decimals
    • Converting Repeating Decimals to Fractions

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EXTENSION 7.4: Repeating Decimals

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Writing a Repeating Decimal as a Fraction (1 digit repeats)

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Writing a Repeating Decimal as a Fraction (2 digit repeat)

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TO DO

7.5 Extension Practice WS

Repeating Decimal Puzzle

Khan Academy:� - Writing Fractions as Repeating Decimals� -Converting Repeating Decimals to Fractions

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  • Repeating Decimals Review
    • Practice- 7.5 Extension Practice WS
    • Practice - Converting Decimals Scavenger Hunt
    • Activity - Converting Decimals Puzzle
  • Khan Academy:
    • Writing Fractions as Repeating Decimals
    • Converting Repeating Decimals to Fractions

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TO DO

Converting Decimals Scavenger Hunt

7.5 Extension Practice WS

Repeating Decimal Puzzle

Khan Academy:� - Writing Fractions as Repeating Decimals� -Converting Repeating Decimals to Fractions

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  • 7.4 Extension Exit Ticket
  • 7.3 Pythagorean Theorem
    • Notes
    • Practice- Pythagorean Theorem Practice WS
  • Khan Academy:
    • None

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7.3 The Pythagorean Theorem

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Finding the Length of the Hypotenuse

Find the length of the hypotenuse of the triangle.��

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Finding the Length of a Leg

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Real-Life Application

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🤞Check Up🤞

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TO DO

Pythagorean Theorem Practice WS

KHAN ACADEMY � - Use Pythagorean Theorem to Find Right Triangle � Side Lengths� - Right Triangle Side Lengths

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  • Turn in Grade sheet
  • 7.3 Exit Ticket
  • 7.5 Using the Pythagorean Theorem
    • Notes
    • Practice- Pythagorean Theorem FunFair
  • Khan Academy:
    • Use the Pythagorean Theorem
    • Right Triangle Side Lengths

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7.5 Using the Pythagorean Theorem

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Identifying a Right Triangle

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TO DO

Pythagoras FunFair

KHAN ACADEMY � -Use the Pythagorean Theorem to Find Right Triangle Side Lengths� -Right Triangle Side Lengths

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  • 7.5 Exit Ticket
  • Pythagorean Theorem Word Problems
    • Notes
    • Practice- Pythagorean Theorem Word Problem Digital Activity
  • Khan Academy:
    • None

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TO DO

Pythagorean Theorem Word Problems Digital Activity

KHAN ACADEMY � None

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  • Pythagorean Theorem Word Problem Exit Ticket
  • Distance Formula
    • Notes
    • Practice- Distance Formula Scavenger Hunt
  • Khan Academy:
    • Distance Between 2 Points

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Distance formula - can be used to find the distance between any two points in a coordinate plane

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Finding the Distance Between Two Points

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Real-Life Application

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🤞Check Up🤞

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TO DO

Distance Between Two Points Scavenger Hunt

KHAN ACADEMY � Distance Between Two Points

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  • Distance Formula Review
    • Finish Distance Formula Scavenger Hunt
    • Practice- Pythagorean Theorem and Distance Formula Review WS
  • Khan Academy:
    • None

CHAPTER 7 TEST THURSDAY

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  • Distance Formula Exit Ticket
  • Volume Bellringer
  • Chapter 7 Review
    • Notes
    • Practice- Chapter 7 Study Guide A
  • Khan Academy:
    • None

CHAPTER 7 TEST THURSDAY

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Chapter 7 Review

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Square Roots

Cube Roots

Order of Operations

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Are these right triangles?

Find the missing side length.

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Find the distance between the points.

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  • Chapter 7 TEST