Math Lit: A Pathway to College Mathematics

Math Lit: A Pathway to College Mathematics, 3rd edition

  • Kathleen Almy, 
  • Heather Foes

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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

ISBN-13: 9780137418909

Subject: Developmental Math

Category: Pathways

Table of contents

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 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
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
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

Index
Applications Index

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