MathematicsExponents

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Unit Information

Content Map: Exponents

Checklist: Exponents Checklist

Unit 2: Examples and Explanations of Standards

CCGPS Unit Standards or Troup County Version (TCV):

  • MCC8.EE.1 Know and apply the properties of integer exponents to generate equivalent numerical expressions

  • TCV.8.EE.2 (2) Evaluate square roots of small perfect squares and cube roots of small perfect cubes.

  • TCV.8.EE.2 (3) Know that the square root of any number that is not a perfect square is irrational (√2 is irrational)

  • TCV.8.EE.3 (1) Express large and small numbers in scientific notation

  • TCV.8.EE.3 (2) Use scientific notation to compare two quantities

  • TCV.8.EE.4 (1) Perform operations with numbers expressed in scientific notation, including problems where both decimal and scientific notation are used

  • TCV.8.EE.4 (2) Use scientific notation and choose units of appropriate size for measurements of very large or very small quantities

  • MCC8.EE.7a. Give examples of linear equations in one variable with one solution, infinitely many solutions, or no solutions. Show which of these possibilities is the case by successively transforming the given equation into simpler forms, until an equivalent equation of the form x=a, a=a, or a=b results (where a and b are different numbers)

  • MCC8.EE.7b Solve linear equations with rational number coefficients, including equations whose solutions require expanding expressions using the distributive property and collecting like terms

  • TCV.8.NS.1 Distinguish between rational and irrational numbers and the difference in their decimal expansions

  • TCV.8.NS.2 Use rational approximations of irrational numbers to compare the size of irrational numbers, locate them approximately on a number line diagram, and estimate the value of expressions

Prerequisites: As identified by the CCGPS Frameworks

  • computation with whole numbers and decimals, including application of order of operations

  • solving equations

  • plotting points in four quadrant coordinate plan

  • understanding of independent and dependent variables

  • characteristics of a proportional relationship

Unit Length: 22 Days

Resources by Concept: (click on a concept)

Concept 1: Integer Exponents [MCC8.EE.1]
Essential Questions:
  • When are exponents used and why are they important?
  • How can I apply the properties of integer exponents to generate equivalent numerical expressions?
  • How do I simplify and evaluate numeric expressions involving integer exponents?
Key Vocabulary:
exponent
Resources:
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Concept 2: Scientific Notation Writing & Comparing [TCV.8.EE.3; TCV.8.EE.4 (2)]
Essential Questions:
  • How can I represent very small and large numbers using integer exponents and scientific notation?
Key Vocabulary:
scientific notation
exponential notation
Resources:

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Concept 3: Operations with Scientific Notation [TCV.8.EE.4 (1)]
Essential Questions:
  • How can I perform operations with numbers expressed in scientific notation?
Key Vocabulary:
congruent figures
Resources:
  • 8Station pages 29-35 (also covers other standards)
  • CCGPS Frameworks (also covers other standards)
    E-Coli Student  |  E-Coli TE
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Concept 4: Square Roots & Cube Roots (Evaluate SMALL ones) [TCV.8.EE.2 (2)]
Essential Questions:
  • Why is it useful for me to know the square root of a number?
  • Why do we approximate irrational numbers?
Key Vocabulary:
radical
cube root
square root
perfect square
Resources:
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Concept 5: Irrational & Rational [TCV.8.EE.2 (3); TCV.8.NS.1; TCV.8.NS.2]
Essential Questions:
  • What is the difference between rational and irrational numbers?
  • When are rational approximations appropriate?
Key Vocabulary:
rational
irrational
decimal expansion
Resources:
  • TCV.8.EE.2 (3)
    • 8Station pages 8-14 (also covers other standards)
    • Glencoe Textbook Lesson 3-1 pages 116-119 (also covers other standards)
  • TCV.8.NS.1
    • 8Station pages 1-7
    • Glencoe CCGPS Math Text (McGraw-Hill, 2013)  p. 7-14
  • TCV.8.NS.2
    • 8Station pages 8-13 (also covers other standards)
    • Glencoe CCGPS Math Text (McGraw-Hill, 2013)  p. 81-97
    • Coach GPS Book Lesson 3
    • Square Root Wall Number Line
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Concept 6: Linear Equations [MCC.8.EE.7a-b]
Essential Questions:
  • What strategies can I use to create and solve linear equations with one solution, infinitely many solutions, or no solutions?
Key Vocabulary:
Variable Multiplicative inverses
Solution Addition Property of Equality
Additive inverse Linear equation in one variable
Inverse operation Evaluate an algebraic expression
Algebraic expression Multiplication Property of Equality
Resources:
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