Cycle Zero which type of number?

Self-Assessment: Preview

0.1 If the World Were a Village: Focus Problem

0.2 Keeping It Real: Types of Numbers and Rounding

Identify types of real numbers

Round whole numbers

0.3 It's All Relative: Integers and Their Operations

Interpret integers

Add, subtract, multiply, and divide integers

Solve application problems involving integers

0.4 Part and Whole: Rational Numbers and Their Operations

Interpret fractions

Add, subtract, multiply, and divide fractions

In the News: Which SPF is Best?

0.5 What's the Point? Decimals and Their Operations

Interpret decimals

Round decimals

Add, subtract, multiply, and divide decimals

0.6 On the Grid: Percent Representations and Calculations

Convert between fractions, decimal values, and percents

Calculate the base, amount, or percent in a percent problem

Calculate percent change

Cycle 0 Study Sheet

Self-Assessment: Review

Cycle 0 Wrap-Up

Cycle One where do we start?

Self-Assessment: Preview

1.1 Understanding the Opioid Epidemic: Focus Problem

1.2 Getting Started: Reviewing Prealgebra

Use Venn diagrams

Solve applied problems involving fractions

1.3 Hello, My Name Is: Graphing Points

Plot ordered pairs

Determine the coordinates of a point

Create and interpret line graphs

1.4 A Tale of Two Numbers: Ratios and Proportions

Interpret ratios

Scale ratios to produce equivalent ratios

Determine if quantities are proportional

1.5 Chances Are: Probability Basics

Find relative frequencies

Find and interpret experimental probabilities

1.6 An Ounce of Prevention: Means

Find and interpret the mean of a set of numbers

Use means in applied problems

1.7 Picture This: Making and Interpreting Graphs

Create and interpret pie graphs

Create and interpret bar graphs

Mid-Cycle Recap

In the News: Understanding Infection and Mortality Rates

1.8 Two by Two: Scatterplots

Create and interpret scatterplots

Sketch a curve to best fit a scatterplot

1.9 Multiply vs. Divide: Converting Units

Convert units by multiplying or dividing

1.10 Up and Down: Percent Change

Apply a percent change

Interpret percent change

1.11 The X Factor: Algebraic Terminology

Differentiate between variables and constants

Differentiate between expressions and equations

Differentiate between factors and terms

1.12 General Number: Recognizing Patterns

Make conjectures and generalize patterns

Identify and use arithmetic and geometric sequences

1.13 Social Network: Linear and Exponential Change

Model change with linear and exponential functions

1.14 Infinity and Beyond: Perimeter and Area

Calculate perimeter and area

Cycle 1 Study Sheet

Self-Assessment: Review

Cycle 1 Wrap-Up

Cycle Two how does that work?

Self-Assessment: Preview

2.1 Genetic Probabilities: Focus Problem

2.2 Rule of Thumb: Weighted Means

Find and interpret weighted means

Find the median and mode of a data set

2.3 Measure Up: Basic Exponent Rules

Apply basic exponent rules

Use geometric formulas

2.4 Count Up: Adding Polynomials

Identify and add like terms

2.5 A Winning Formula: Applying Order of Operations

Use the order of operations to simplify expressions

Evaluate formulas and expressions

2.6 Does Order Matter?: Rewriting Expressions

Apply the commutative and associative properties

2.7 Fair Share: Distributive Property

Apply the distributive property to expressions

Use the distributive property in applied contexts

2.8 Seat Yourself: Equivalent Expressions

Write an expression to represent a scenario

Determine if two expressions are equivalent by using the commutative, associative, and distributive properties

2.9 Parts of Speech: Using Operations Correctly

Distinguish between an operator and an object

Determine the object on which an operator is acting

Recognize when the distributive property can be applied

Mid-Cycle Recap

In the News: Misorder of Operations

2.10 A Fine Balance: Verifying Solutions

Verify a solution to an equation

2.11 Back and Forth: Writing and

Solving One-Step Equations

Write and solve one-step equations

2.12 Maintaining Balance: More Equation Solving

Solve multi-step linear equations

2.13 Quarter Wing Night: Writing and Solving Equations

Write an equation to model a situation

Solve a problem numerically and algebraically

2.14 Outwit and Outlast: Using Proportions

Write and solve proportions

2.15 Three of a Kind: Pythagorean Theorem

Use the Pythagorean theorem to find the length of a side in a right triangle

Solve problems using the Pythagorean theorem

2.16 What Are the Odds?: Theoretical Probability

Calculate theoretical probabilities

Compare theoretical and experimental probabilities

2.17 Size Up: Volume and Surface Area

Calculate volume and surface area

Cycle 2 Study Sheet

Self-Assessment: Review

Cycle 2 Wrap-Up

Cycle Three when is it worth it?

Self-Assessment: Preview

3.1 Growing Money: Focus Problem

3.2 What's Trending: Correlation

Determine if data has a positive or negative linear correlation

Graph the equation of the trendline

Use the equation of the trendline to make predictions

3.3 Constant Change: Slope

Find the slope of a line from points, tables, and graphs

Find and interpret slope in applications

3.4 Shortest Path: Distance Formula

Use the distance formula to find the distance between two points

3.5 Get in Line: Slope-Intercept Form

Find and interpret the slope and y-intercept from a linear equation

Graph a line using a table and using the slope and y-intercept

3.6 More or Less: Linear Relationships

Solve problems using linear equations, tables, and graphs

3.7 Chain, Chain, Chain: Writing Linear Equations

Write the equation of a line using a point and the slope

Write the equation of a line using two points

Create a linear model in an applied problem

3.8 Going Viral: Exponential Functions

Write the equation of an exponential function using a starting value and rate of change

Graph exponential functions

Model with exponential functions

Mid-Cycle Recap 348

In the News: Misleading Headlines

3.9 Untangling the Knot: Solving Nonlinear Equations

Solve nonlinear equations

3.10 Hot and Cold: Rewriting Formulas

Solve an equation for a specified variable

3.11 A Common Goal: Greatest Common Factors

Identify the greatest common factor for the terms in an expression

Factor an expression using the greatest common factor

3.12 Thinking Outside the Box: Factoring Quadratic Expressions

Factor quadratic expressions

3.13 A Formula for Success: The Quadratic Formula

Use the quadratic formula to solve equations

3.14 The Turning Point: Quadratic Functions

Identify a quadratic pattern in data

Find the vertex of a parabola

3.15 Systematic Thinking: Graphing and Substitution

Solve a 2 x 2 linear system of equations by graphing

Solve a 2 x 2 linear system of equations by substitution

3.16 Opposites Attract: Elimination

Solve a 2 x 2 linear system of equations by elimination

Cycle 3 Study Sheet

Self-Assessment: Review

Cycle 3 Wrap-Up

Cycle Four what else can we do?

Self-Assessment: Preview

4.1 Scale Matters: Focus Problem

4.2 A Matter of Change: Dimensional Analysis

Convert units using dimensional analysis

4.3 Little Giants: Scientific and Engineering Notation

Convert numbers between scientific and standard notation

Convert numbers into and out of engineering notation

4.4 A Model Approach: Negative Exponents

Use exponent rules to simplify expressions that have negative exponents

4.5 Variation on a Theme: Standard Deviation

Find the standard deviation of a data set

Interpret the standard deviation of a data set

4.6 An Order of Magnitude: Understanding Logarithmic Scales

Interpret and use order of magnitude

Interpret and use logarithmic scales

Mid-Cycle Recap

In the News: Measuring Variation

4.7 Straight to the Point: Direct Variation

Identify direct variation from a graph, table, or equation

Write models for direct variation problems

Solve direct variation problems

4.8 Gas Up and Go: Inverse Variation

Identify inverse variation from a table or equation

Write models for inverse variation problems

Solve inverse variation problems

4.9 Ghost in the Machine: Function Notation

Use function notation

Find a function input or output given the other

4.10 What's Your Function?: Vertical Line Test, Domain, and Range

Apply the vertical line test

Find the domain and range from a graph or an equation

4.11 An Important Point: Vertex Form of a Quadratic Function

Identify the vertex of a quadratic function in vertex form

Graph a quadratic function in vertex form

Write the vertex form of a quadratic function given the vertex and a point

4.12 A Survey of Trig: Trigonometric Functions

Write the six trigonometric ratios for an acute angle

Use trigonometric functions to find the measures of sides and angles of a right triangle

Cycle 4 Study Sheet

Self-Assessment: Review

Cycle 4 Wrap-Up

Excel appendix (online in MyLab Math only)

Answers (online in MyLab Math only)

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