For Pathways courses (a one-semester alternative to the traditional two-semester developmental algebra sequence for non-STEM students).

An accelerated pathway through developmental math

Math Lit by Almy and Foes emphasizes contextual problem solving; the authors approach each topic with the questions "how does it work?" and "how can I use it?" Students work through activities and explorations to gain a greater conceptual understanding of the four thematic strands: numeracy, proportional reasoning, algebraic reasoning, and functions. Topics from geometry and statistics are also included.

Changes to the 3rd Edition include all-important updates to contexts and problems to reflect current events. Added support includes a new Cycle 0 to review prealgebra content and refinements within sections to improve the flow while maintaining the active learning approach.

Kathleen Almy ?has been a professor of mathematics at Rock Valley College for over 10 years and has taught high school and college level math for 15 years. She has a bachelor's degree in mathematics education from Southern Illinois University and master's degree in pure mathematics from Northern Illinois University. Her passion is improving developmental math for all students including the development of courses and content that is appropriate, relevant, and meaningful. As her department's developmental math coordinator, she organized and led a successful comprehensive redesign of the program. As a result of giving talks about the redesign, she has been consulting with colleges throughout Illinois and across the country to improve their developmental math programs. Since 2009, she has been a member of AMATYC's Quantway project which is affiliated with the Carnegie Foundation. ?She was AMATYC's Developmental Math Committee chair and serves on several state committees on developmental education.

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Heather Foes ?is currently a professor of mathematics at Rock Valley College in Rockford, Illinois and has also taught at Illinois State University, Northern Illinois University, and the University of Illinois. Heather has a bachelor's degree in chemistry and mathematics and a master's degree in mathematics from Illinois State University. She has written solution manuals and other supplemental materials over the last ten years, as well as algorithmic questions for test-generator software and conceptual questions for MyLab Statistics for Pearson.

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)

Index

Applications Index

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