Pathways to Math Literacy, 2nd Edition

Unit 1: Organizing and Visualizing Numeric 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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