# Pathways to Math Literacy

2^{nd}Edition

ISBN10: 1260404935

ISBN13: 9781260404937

Copyright: 2019

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The estimated amount of time this product will be on the market is based on a number of factors, including faculty input to instructional design and the prior revision cycle and updates to academic research-which typically results in a revision cycle ranging from every two to four years for this product. Pricing subject to change at any time.

The estimated amount of time this product will be on the market is based on a number of factors, including faculty input to instructional design and the prior revision cycle and updates to academic research-which typically results in a revision cycle ranging from every two to four years for this product. Pricing subject to change at any time.

### Program Details

Lesson 1-1: Where Does the Time Go? (Percentages, Pie Charts, and Bar Graphs)

Objective 1: Analyze personal time management for a week of activities.

Objective 2: Solve problems involving percentages.

Objective 3: Create and interpret pie charts.

Objective 4: Create and interpret bar graphs.

Lesson 1-2: Do You Have Anything To Add? (Using Addition and Subtraction Skills)

Objective 1: Identify circumstances where addition or subtraction is possible. Objective 2: Add or subtract quantities.

Lesson 1-3: It's About Accumulation (Using Multiplication and Division Skills)

Objective 1: Interpret multiplication as repeated addition.

Objective 2: Multiply or divide quantities.

Lesson 1-4: Avoiding Empty Pockets (Using Exponents and Order of Operation)

Objective 1: Distinguish between simple interest and compound interest.

Objective 2: Distinguish between linear and exponential growth.

Objective 3: Interpret exponents as repeated multiplication.

Objective 4: Simplify numeric expressions involving exponents and the order of operations.

Lesson 1-5: A Coordinated Effort (The Basics of Graphing) Objective 1: Use a rectangular coordinate system.

Objective 2: Connect data to graphs.

Objective 3: Interpret graphs.

Lesson 1-6: What are the Chances? (Basic Probability)

Objective 1: Compute and interpret basic probabilities.

Objective 2: Translate a probability to a percent chance.

Objective 3: Recognize the difference between theoretical and empirical probability.

Lesson 1-7: Debt: Bad, Chocolate: Good (Using Scientific Notation)

Objective 1: Convert numbers between decimal and scientific notation.

Objective 2: Describe the significance of writing numbers in scientific notation.

Lesson 1-8: What's Your Type? (Organizing Information with Venn Diagrams) Objective 1: Analyze how your personality type affects how you interact with others.

Objective 2: Create and interpret Venn diagrams.

Objective 3: Describe sets using appropriate terminology.

Lesson 1-9: News in the Data Age (Gathering and Organizing Data)

Objective 1: Explain the difference between a population and a sample.

Objective 2: Organize data with frequency distributions and histograms.

Objective 3: Analyze data with stem and leaf plots.

Unit 2: Making Sense of It All

Lesson 2-1: Did You Pass the Test? (Using Measures of Average)

Objective 1: Consider strategies for preparing for and taking math tests.

Objective 2: Understand the impact of a single question, or a single exam.

Objective 3: Calculate, interpret, and compare measures of average.

Lesson 2-2: Ins and Outs (Inputs, Outputs, and Interpreting Expressions)

Objective 1: Distinguish between inputs (independent variables) and outputs (dependent variables).

Objective 2: Evaluate expressions and formulas.

Objective 3: Write and interpret expressions.

Lesson 2-3: From Another Dimension (Working with Units and Formulas)

Objective 1: Determine units for area and volume calculations.

Objective 2: Use formulas to calculate areas and volumes.

Objective 3: Discuss important skills for college students to have.

Objective 4: Simplify expressions. Lesson 2-4: It Works like Magic (Dimensional Analysis)

Objective 1: Convert units using dimensional analysis.

Objective 2: Convert units within the metric system.

Objective 3: Convert rates of change.

Objective 4: Convert temperatures.

Lesson 2-5: Take a Guess! (Estimation and Number Sense)

Objective 1: Identify the steps in a systematic problem-solving procedure.

Objective 2: Make educated guesses.

Objective 3: Compare numbers using inequality symbols.

Lesson 2-6: It's All Relative (Interpreting Relative Change/Percent Error)

Objective 1: Compare change to relative change.

Objective 2: Apply percent error.

Lesson 2-7: Is that Normal? (Standard Deviation and Normal Distributions)

Objective 1: Identify the steps in computing standard deviation, and describe why they lead to a measure of variation.

Objective 2: Compute and interpret standard deviation.

Objective 3: Use a normal distribution to find probabilities.

Lesson 2-8: Meeting Expectations (Expected Value and Weighted Averages) Objective 1: Estimate expected value experimentally.

Objective 2: Compute expected value.

Objective 3: Compute weighted grades and GPA.

Unit 3: Thinking Linearly

Lesson 3-1: 88 Miles Per Hour! (Slope as a Rate of Change)

Objective 1: Interpret a rate of change.

Objective 2: Predict a future value from a rate of change.

Objective 3: Calculate a rate of change.

Objective 4: Find the intercepts of a line.

Objective 5: Interpret the meaning of the intercepts of a line.

Lesson 3-2: A Snow Job (Writing, Interpreting, and Evaluating Algebraic Expressions)

Objective 1: Write expressions based on given information.

Objective 2: Interpret algebraic expressions in context.

Objective 3: Evaluate and simplify expressions.

Lesson 3-3: All Things Being Equal (Solving Equations)

Objective 1: Explain what it means to solve an equation.

Objective 2: Demonstrate the procedures for solving a basic linear equation.

Objective 3: Solve a literal equation for a designated variable.

Lesson 3-4: All Quantities Are Not Created Equal (Solving Inequalities)

Objective 1: Demonstrate the procedures for solving a linear inequality.

Objective 2: Solve application problems that involve linear inequalities.

Lesson 3-5: What's Your Problem? (Solving Problems Numerically and Algebraically)

Objective 1: Solve application problems using numerical calculations.

Objective 2: Solve application problems using linear equations.

Lesson 3-6: Big Mac Exchange Rates (Direct Variation and Proportions)

Objective 1: Identify situations where direct variation occurs.

Objective 2: Write an appropriate direct variation equation for a situation.

Objective 3: Solve an application problem that involves direct variation.

Lesson 3-7: Big Mac Exchange Rates (Direct Variation and Proportions)

Objective 1: Write an equation of a line given a description of the relationship.

Objective 2: Write an equation of a line that models data from a table.

Objective 3: Write an equation of a line from a graph of the line.

Objective 4: Graph a line by plotting points.

Lesson 3-8: Party Planning (Point-Slope Form and Linear Modeling)

Objective 1: Find the y intercept and equation of a line given two points.

Objective 2: Find the equation of a line using point-slope form.

Objective 3: Convert between forms of a linear equation.

Lesson 3-9: The Great Tech Battle (Linear Relationships and Lines of Best Fit)

Objective 1: Determine whether two variables have a linear relationship.

Objective 2: Calculate the line of best fit for a set of data using a spreadsheet.

Objective 3: Calculate the line of best fir for a set of data using a calculator.

Objective 4: Interpret the correlation coefficient for a data set.

Lesson 3-10: All Systems Go (Solving Problems with Systems of Equations)

Objective 1: Solve an application problem involving a system of equations.

Objective 2: Illustrate the solution to a system of equations using a table.

Objective 3: Illustrate the solution to a system of equations using a graph.

Unit 4: Living in a Nonlinear World

Lesson 4-1: Oh Yeah? Prove It (Inductive and Deductive Reasoning)

Objective 1: Apply inductive reasoning to make a conjecture.

Objective 2: Disprove a conjecture by finding a counterexample.

Objective 3: Apply deductive reasoning to solve a problem.

Lesson 4-2: A Road Map to Success (The Pythagorean Theorem and Distance)

Objective 1: Solve application problems using the Pythagorean Theorem.

Objective 2: Solve application problems involving the distance formula.

Lesson 4-3: The Error of Your Ways (Polling and Margin of Error)

Objective 1: Determine the margin of error in a given poll.

Objective 2: Explain the meaning of the margin of error in a given poll.

Objective 3: Calculate the number of poll respondents needed for a given margin of error.

Lesson 4-4: Where's My Jetpack? (Inverse vs. Direct Variation)

Objective 1: Identify situations where inverse variation occurs.

Objective 2: Solve problems involving direct and inverse variation.

Lesson 4-5: Sit Back and Watch Your Money Grow (Exponential Growth Equations)

Objective 1: Define function and use function notation.

Objective 2: Identify the significance of a and b in an equation of the form y = ab^x

Objective 3: Find exponential models.

Objective 4: Compare exponential models using graphs, tables, and formulas.

Lesson 4-6: Follow the Bouncing Golf Ball (Exponential Curve Fitting)

Objective 1: Gather and organize data from an experiment.

Objective 2: Find an exponential equation of best fir for data.

Objective 3: Study the decay rate for exponential decay.

Lesson 4-7: Irate Ducks (Graphs of Quadratic Equations)

Objective 1: Identify a parabolic graph.

Objective 2: Solve problems using the graph of a quadratic equation.

Lesson 4-8: Minding Your Business (Add, Subtract, and Multiply Expressions)

Objective 1: Combine algebraic expressions using addition or subtraction.

Objective 2: Demonstrate the relationships between revenue, cost, and profit functions.

Objective 3: Combine algebraic expressions using multiplication.

Objective 4: Determine a revenue function from a demand function by multiplying algebraic expressions.

Lesson 4-9: The F Word (Factoring)

Objective 1: Explain why factoring is useful in algebra.

Objective 2: Explain the connection between zeros and x-intercepts.

Objective 3: Factor a trinomial.

Lesson 4-10: Going... Going... GONE! (The Quadratic Formula and Max/Min)

Objective 1: Solve a quadratic equation using the quadratic formula.

Objective 2: Find the vertex of a parabola using x = -b/2a.

Objective 3: Solve application problems using the quadratic formula.

Lesson 4-11: Down the Drain (Quadratic Curve Fitting)

Objective 1: Calculate the equation of best fit for a set of quadratic data using technology.

Objective 2: Solve application problems that involve a quadratic set of data.

Lesson 1-1: Where Does the Time Go? (Percentages, Pie Charts, and Bar Graphs)

Objective 1: Analyze personal time management for a week of activities.

Objective 2: Solve problems involving percentages.

Objective 3: Create and interpret pie charts.

Objective 4: Create and interpret bar graphs.

Lesson 1-2: Do You Have Anything To Add? (Using Addition and Subtraction Skills)

Objective 1: Identify circumstances where addition or subtraction is possible. Objective 2: Add or subtract quantities.

Lesson 1-3: It's About Accumulation (Using Multiplication and Division Skills)

Objective 1: Interpret multiplication as repeated addition.

Objective 2: Multiply or divide quantities.

Lesson 1-4: Avoiding Empty Pockets (Using Exponents and Order of Operation)

Objective 1: Distinguish between simple interest and compound interest.

Objective 2: Distinguish between linear and exponential growth.

Objective 3: Interpret exponents as repeated multiplication.

Objective 4: Simplify numeric expressions involving exponents and the order of operations.

Lesson 1-5: A Coordinated Effort (The Basics of Graphing) Objective 1: Use a rectangular coordinate system.

Objective 2: Connect data to graphs.

Objective 3: Interpret graphs.

Lesson 1-6: What are the Chances? (Basic Probability)

Objective 1: Compute and interpret basic probabilities.

Objective 2: Translate a probability to a percent chance.

Objective 3: Recognize the difference between theoretical and empirical probability.

Lesson 1-7: Debt: Bad, Chocolate: Good (Using Scientific Notation)

Objective 1: Convert numbers between decimal and scientific notation.

Objective 2: Describe the significance of writing numbers in scientific notation.

Lesson 1-8: What's Your Type? (Organizing Information with Venn Diagrams) Objective 1: Analyze how your personality type affects how you interact with others.

Objective 2: Create and interpret Venn diagrams.

Objective 3: Describe sets using appropriate terminology.

Lesson 1-9: News in the Data Age (Gathering and Organizing Data)

Objective 1: Explain the difference between a population and a sample.

Objective 2: Organize data with frequency distributions and histograms.

Objective 3: Analyze data with stem and leaf plots.

Unit 2: Making Sense of It All

Lesson 2-1: Did You Pass the Test? (Using Measures of Average)

Objective 1: Consider strategies for preparing for and taking math tests.

Objective 2: Understand the impact of a single question, or a single exam.

Objective 3: Calculate, interpret, and compare measures of average.

Lesson 2-2: Ins and Outs (Inputs, Outputs, and Interpreting Expressions)

Objective 1: Distinguish between inputs (independent variables) and outputs (dependent variables).

Objective 2: Evaluate expressions and formulas.

Objective 3: Write and interpret expressions.

Lesson 2-3: From Another Dimension (Working with Units and Formulas)

Objective 1: Determine units for area and volume calculations.

Objective 2: Use formulas to calculate areas and volumes.

Objective 3: Discuss important skills for college students to have.

Objective 4: Simplify expressions. Lesson 2-4: It Works like Magic (Dimensional Analysis)

Objective 1: Convert units using dimensional analysis.

Objective 2: Convert units within the metric system.

Objective 3: Convert rates of change.

Objective 4: Convert temperatures.

Lesson 2-5: Take a Guess! (Estimation and Number Sense)

Objective 1: Identify the steps in a systematic problem-solving procedure.

Objective 2: Make educated guesses.

Objective 3: Compare numbers using inequality symbols.

Lesson 2-6: It's All Relative (Interpreting Relative Change/Percent Error)

Objective 1: Compare change to relative change.

Objective 2: Apply percent error.

Lesson 2-7: Is that Normal? (Standard Deviation and Normal Distributions)

Objective 1: Identify the steps in computing standard deviation, and describe why they lead to a measure of variation.

Objective 2: Compute and interpret standard deviation.

Objective 3: Use a normal distribution to find probabilities.

Lesson 2-8: Meeting Expectations (Expected Value and Weighted Averages) Objective 1: Estimate expected value experimentally.

Objective 2: Compute expected value.

Objective 3: Compute weighted grades and GPA.

Unit 3: Thinking Linearly

Lesson 3-1: 88 Miles Per Hour! (Slope as a Rate of Change)

Objective 1: Interpret a rate of change.

Objective 2: Predict a future value from a rate of change.

Objective 3: Calculate a rate of change.

Objective 4: Find the intercepts of a line.

Objective 5: Interpret the meaning of the intercepts of a line.

Lesson 3-2: A Snow Job (Writing, Interpreting, and Evaluating Algebraic Expressions)

Objective 1: Write expressions based on given information.

Objective 2: Interpret algebraic expressions in context.

Objective 3: Evaluate and simplify expressions.

Lesson 3-3: All Things Being Equal (Solving Equations)

Objective 1: Explain what it means to solve an equation.

Objective 2: Demonstrate the procedures for solving a basic linear equation.

Objective 3: Solve a literal equation for a designated variable.

Lesson 3-4: All Quantities Are Not Created Equal (Solving Inequalities)

Objective 1: Demonstrate the procedures for solving a linear inequality.

Objective 2: Solve application problems that involve linear inequalities.

Lesson 3-5: What's Your Problem? (Solving Problems Numerically and Algebraically)

Objective 1: Solve application problems using numerical calculations.

Objective 2: Solve application problems using linear equations.

Lesson 3-6: Big Mac Exchange Rates (Direct Variation and Proportions)

Objective 1: Identify situations where direct variation occurs.

Objective 2: Write an appropriate direct variation equation for a situation.

Objective 3: Solve an application problem that involves direct variation.

Lesson 3-7: Big Mac Exchange Rates (Direct Variation and Proportions)

Objective 1: Write an equation of a line given a description of the relationship.

Objective 2: Write an equation of a line that models data from a table.

Objective 3: Write an equation of a line from a graph of the line.

Objective 4: Graph a line by plotting points.

Lesson 3-8: Party Planning (Point-Slope Form and Linear Modeling)

Objective 1: Find the y intercept and equation of a line given two points.

Objective 2: Find the equation of a line using point-slope form.

Objective 3: Convert between forms of a linear equation.

Lesson 3-9: The Great Tech Battle (Linear Relationships and Lines of Best Fit)

Objective 1: Determine whether two variables have a linear relationship.

Objective 2: Calculate the line of best fit for a set of data using a spreadsheet.

Objective 3: Calculate the line of best fir for a set of data using a calculator.

Objective 4: Interpret the correlation coefficient for a data set.

Lesson 3-10: All Systems Go (Solving Problems with Systems of Equations)

Objective 1: Solve an application problem involving a system of equations.

Objective 2: Illustrate the solution to a system of equations using a table.

Objective 3: Illustrate the solution to a system of equations using a graph.

Unit 4: Living in a Nonlinear World

Lesson 4-1: Oh Yeah? Prove It (Inductive and Deductive Reasoning)

Objective 1: Apply inductive reasoning to make a conjecture.

Objective 2: Disprove a conjecture by finding a counterexample.

Objective 3: Apply deductive reasoning to solve a problem.

Lesson 4-2: A Road Map to Success (The Pythagorean Theorem and Distance)

Objective 1: Solve application problems using the Pythagorean Theorem.

Objective 2: Solve application problems involving the distance formula.

Lesson 4-3: The Error of Your Ways (Polling and Margin of Error)

Objective 1: Determine the margin of error in a given poll.

Objective 2: Explain the meaning of the margin of error in a given poll.

Objective 3: Calculate the number of poll respondents needed for a given margin of error.

Lesson 4-4: Where's My Jetpack? (Inverse vs. Direct Variation)

Objective 1: Identify situations where inverse variation occurs.

Objective 2: Solve problems involving direct and inverse variation.

Lesson 4-5: Sit Back and Watch Your Money Grow (Exponential Growth Equations)

Objective 1: Define function and use function notation.

Objective 2: Identify the significance of a and b in an equation of the form y = ab^x

Objective 3: Find exponential models.

Objective 4: Compare exponential models using graphs, tables, and formulas.

Lesson 4-6: Follow the Bouncing Golf Ball (Exponential Curve Fitting)

Objective 1: Gather and organize data from an experiment.

Objective 2: Find an exponential equation of best fir for data.

Objective 3: Study the decay rate for exponential decay.

Lesson 4-7: Irate Ducks (Graphs of Quadratic Equations)

Objective 1: Identify a parabolic graph.

Objective 2: Solve problems using the graph of a quadratic equation.

Lesson 4-8: Minding Your Business (Add, Subtract, and Multiply Expressions)

Objective 1: Combine algebraic expressions using addition or subtraction.

Objective 2: Demonstrate the relationships between revenue, cost, and profit functions.

Objective 3: Combine algebraic expressions using multiplication.

Objective 4: Determine a revenue function from a demand function by multiplying algebraic expressions.

Lesson 4-9: The F Word (Factoring)

Objective 1: Explain why factoring is useful in algebra.

Objective 2: Explain the connection between zeros and x-intercepts.

Objective 3: Factor a trinomial.

Lesson 4-10: Going... Going... GONE! (The Quadratic Formula and Max/Min)

Objective 1: Solve a quadratic equation using the quadratic formula.

Objective 2: Find the vertex of a parabola using x = -b/2a.

Objective 3: Solve application problems using the quadratic formula.

Lesson 4-11: Down the Drain (Quadratic Curve Fitting)

Objective 1: Calculate the equation of best fit for a set of quadratic data using technology.

Objective 2: Solve application problems that involve a quadratic set of data.

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