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© Summit Math 2019

Topics

in

Book 1

Introduction to Functions

  • Comparing independent and dependent quantities

  • Function Notation

  • Representing a function with an equation or a graph

  • Increasing, decreasing, or constant

  • The domain and range of a function

  • More scenarios that involve functions

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Book 2

Linear Functions

  • Review

    • Plotting Points

    • Slope-Intercept Form

    • Standard Form

  • Point-Slope Form

  • Linear patterns in data and drawing a trend line

  • Vertical and horizontal lines

  • Linear inequalities

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Book 3

​Quadratic Functions

  • Review factoring

  • Review simplifying radical expressions

  • The imaginary number, i

  • Solve equations using the method of Completing the Square

  • The Quadratic Formula

  • Graphing parabolas

  • Scenarios that involve quadratic relationships

  • Graphing quadratic inequalities

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Book 4

​Rational Expressions and Equations

  • Using disguised forms of 1 to change the appearance of rational expressions

  • Simplifying rational expressions

  • Multiplying rational expressions

  • Dividing rational expressions

  • Adding rational expressions

  • Subtracting rational expressions

  • Solving rational equations

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Book 5

​Rates: Motion, Work, and Interest

  • Introduction to scenarios that involve rates

  • The reciprocal of a rate

  • Scenarios involving work rates and combined work

  • Motion scenarios: the relationship between rate, time and distance

  • Average Speed

  • Scenarios that involve interest rates

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Book 6

​Linear and Nonlinear Systems

  • Review solving systems with graphing

  • Review solving systems with substitution

  • Review solving systems with elimination

  • Scenarios that involve linear systems

  • Systems of linear inequalities

  • Solving nonlinear systems

  • Solving 3-variable systems

  • Writing the equation of a parabola, given 3 points

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Book 7

Exponential Functions

  • Introduction to exponential patterns

  • Exponential sequences

  • Connecting exponential growth and percent changes

  • Exponential decay

  • Writing an exponential function that models a scenario

  • Exponents review

  • Equations review

  • Writing an exponential function, given 2 points

  • Graphs of exponential functions

  • More exponential scenarios

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Book 8

​The Pythagorean Theorem

  • Review the Pythagorean Theorem

  • Deriving the Distance Formula

  • Using equilateral triangles to form 30-60-90 triangles

  • Using squares to form 45-45-90 triangles

  • Scenarios that involve right triangles