Math Lit: A Pathway to College Mathematics, 3rd edition
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Overview
Math Lit emphasizes contextual problem solving, with the authors approaching each topic by asking, "how does it work?" and "how can I use it?" You'll also complete activities and explorations to help you gain a greater understanding of numeracy, proportional reasoning, algebraic reasoning, and functions.
Published by Pearson (July 26th 2021)  Copyright © 2022
ISBN13: 9780137418909
Subject: Developmental Math
Category: Pathways
Table of contents
CYCLE ZERO: WHICH TYPE OF NUMBER?
SELFASSESSMENT: 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 Better?
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
SelfAssessment: Review
Cycle 0 WrapUp
CYCLE ONE: WHERE DO WE START?
SELFASSESSMENT: 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
MidCycle 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
SelfAssessment: Review
Cycle 1 WrapUp
CYCLE TWO: HOW DOES THAT WORK?
SELFASSESSMENT: 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
MidCycle 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 OneStep Equations
Write and solve onestep equations
2.12 Maintaining Balance: More Equation Solving
Solve multistep 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
SelfAssessment: Review
Cycle 2 WrapUp
CYCLE THREE: WHEN IS IT WORTH IT?
SELFASSESSMENT: 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: SlopeIntercept Form
Find and interpret the slope and yintercept from a linear equation
Graph a line using a table and using the slope and yintercept
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
MidCycle Recap
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
SelfAssessment: Review
Cycle 3 WrapUp
CYCLE FOUR: WHAT ELSE CAN WE DO?
SELFASSESSMENT: 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
MidCycle 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
SelfAssessment: Review
Cycle 4 WrapUp
Index
Applications Index
Your questions answered
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