Pathways to Math Literacy

Pathways to Math Literacy, 2nd EditionUnit 1: Organizing and Visualizing Numeric Data<br>Lesson 1-1: Where Does the Time Go? (Percentages, Pie Charts, and Bar Graphs)<br>Objective 1: Analyze personal time management for a week of activities.<br>Objective 2: Solve problems involving percentages.<br>Objective 3: Create and interpret pie charts.&nbsp;<br>Objective 4: Create and interpret bar graphs.&nbsp;<br>Lesson 1-2: Do You Have Anything To Add? (Using Addition and Subtraction Skills)&nbsp;<br>Objective 1: Identify circumstances where addition or subtraction is possible.&nbsp;Objective 2: Add or subtract quantities.&nbsp;<br>Lesson 1-3: It's About Accumulation (Using Multiplication and Division Skills)&nbsp;<br>Objective 1: Interpret multiplication as repeated addition.&nbsp;<br>Objective 2: Multiply or divide quantities.&nbsp;<br>Lesson 1-4: Avoiding Empty Pockets (Using Exponents and Order of Operation)&nbsp;<br>Objective 1: Distinguish between simple interest and compound interest.&nbsp;<br>Objective 2: Distinguish between linear and exponential growth.&nbsp;<br>Objective 3: Interpret exponents as repeated multiplication.&nbsp;<br>Objective 4: Simplify numeric expressions involving exponents and the order of operations.&nbsp;<br>Lesson 1-5: A Coordinated Effort (The Basics of Graphing)&nbsp;Objective 1: Use a rectangular coordinate system.&nbsp;<br>Objective 2: Connect data to graphs.&nbsp;<br>Objective 3: Interpret graphs.&nbsp;<br>Lesson 1-6: What are the Chances? (Basic Probability)&nbsp;<br>Objective 1: Compute and interpret basic probabilities.&nbsp;<br>Objective 2: Translate a probability to a percent chance.&nbsp;<br>Objective 3: Recognize the difference between theoretical and empirical probability.&nbsp;<br>Lesson 1-7: Debt: Bad, Chocolate: Good (Using Scientific Notation)&nbsp;<br>Objective 1: Convert numbers between decimal and scientific notation.&nbsp;<br>Objective 2: Describe the significance of writing numbers in scientific notation.&nbsp;<br>Lesson 1-8: What's Your Type? (Organizing Information with Venn Diagrams)&nbsp;Objective 1: Analyze how your personality type affects how you interact with others.&nbsp;<br>Objective 2: Create and interpret Venn diagrams.&nbsp;<br>Objective 3: Describe sets using appropriate terminology.&nbsp;<br>Lesson 1-9: News in the Data Age (Gathering and Organizing Data)&nbsp;<br>Objective 1: Explain the difference between a population and a sample.&nbsp;<br>Objective 2: Organize data with frequency distributions and histograms.&nbsp;<br>Objective 3: Analyze data with stem and leaf plots.&nbsp;<br>Unit 2: Making Sense of It All&nbsp;<br>Lesson 2-1: Did You Pass the Test? (Using Measures of Average)&nbsp;<br>Objective 1: Consider strategies for preparing for and taking math tests.&nbsp;<br>Objective 2: Understand the impact of a single question, or a single exam.&nbsp;<br>Objective 3: Calculate, interpret, and compare measures of average.&nbsp;<br>&nbsp;Lesson 2-2: Ins and Outs (Inputs, Outputs, and Interpreting Expressions)&nbsp;<br>Objective 1: Distinguish between inputs (independent variables) and outputs (dependent variables).&nbsp;<br>Objective 2: Evaluate expressions and formulas.&nbsp;<br>Objective 3: Write and interpret expressions.&nbsp;<br>Lesson 2-3: From Another Dimension (Working with Units and Formulas)&nbsp;<br>Objective 1: Determine units for area and volume calculations.<br>Objective 2: Use formulas to calculate areas and volumes.&nbsp;<br>Objective 3: Discuss important skills for college students to have.&nbsp;<br>Objective 4: Simplify expressions.&nbsp;Lesson 2-4: It Works like Magic (Dimensional Analysis)&nbsp;<br>Objective 1: Convert units using dimensional analysis.&nbsp;<br>Objective 2: Convert units within the metric system.&nbsp;<br>Objective 3: Convert rates of change.&nbsp;<br>Objective 4: Convert temperatures.&nbsp;<br>Lesson 2-5: Take a Guess! (Estimation and Number Sense)&nbsp;<br>Objective 1: Identify the steps in a systematic problem-solving procedure.&nbsp;<br>Objective 2: Make educated guesses.&nbsp;<br>Objective 3: Compare numbers using inequality symbols.<br>Lesson 2-6: It's All Relative (Interpreting Relative Change/Percent Error)<br>Objective 1: Compare change to relative change.&nbsp;<br>Objective 2: Apply percent error.&nbsp;<br>Lesson 2-7: Is that Normal? (Standard Deviation and Normal Distributions)&nbsp;<br>Objective 1: Identify the steps in computing standard deviation, and describe why they lead to a measure of variation.<br>Objective 2: Compute and interpret standard deviation.&nbsp;<br>Objective 3: Use a normal distribution to find probabilities.&nbsp;<br>Lesson 2-8: Meeting Expectations (Expected Value and Weighted Averages)&nbsp;Objective 1: Estimate expected value experimentally.&nbsp;<br/>Objective 2: Compute expected value.<br/>Objective 3: Compute weighted grades and GPA.&nbsp;<br/>Unit 3: Thinking Linearly&nbsp;<br/>Lesson 3-1: 88 Miles Per Hour! (Slope as a Rate of Change)&nbsp;<br/>Objective 1: Interpret a rate of change.&nbsp;<br/>Objective 2: Predict a future value from a rate of change.&nbsp;<br/>Objective 3: Calculate a rate of change.&nbsp;<br/>Objective 4: Find the intercepts of a line.&nbsp;<br/>Objective 5: Interpret the meaning of the intercepts of a line.&nbsp;&nbsp;<br/>Lesson 3-2: A Snow Job (Writing, Interpreting, and Evaluating Algebraic Expressions)&nbsp;<br/>Objective 1: Write expressions based on given information.&nbsp;<br/>Objective 2: Interpret algebraic expressions in context.&nbsp;<br/>Objective 3: Evaluate and simplify expressions.&nbsp;<br/>Lesson 3-3: All Things Being Equal (Solving Equations)&nbsp;<br/>Objective 1: Explain what it means to solve an equation.&nbsp;<br/>Objective 2: Demonstrate the procedures for solving a basic linear equation.&nbsp;<br/>Objective 3: Solve a literal equation for a designated variable.&nbsp;<br/>Lesson 3-4: All Quantities Are Not Created Equal (Solving Inequalities)&nbsp;<br/>Objective 1: Demonstrate the procedures for solving a linear inequality.&nbsp;<br/>Objective 2: Solve application problems that involve linear inequalities.&nbsp;<br/>Lesson 3-5: What's Your Problem? (Solving Problems Numerically and Algebraically)&nbsp;<br/>Objective 1: Solve application problems using numerical calculations.&nbsp;<br/>Objective 2: Solve application problems using linear equations.&nbsp;<br/>Lesson 3-6: Big Mac Exchange Rates (Direct Variation and Proportions)&nbsp;<br/>Objective 1: Identify situations where direct variation occurs.&nbsp;<br/>Objective 2: Write an appropriate direct variation equation for a situation.&nbsp;<br/>Objective 3: Solve an application problem that involves direct variation.&nbsp;<br/>Lesson 3-7: Big Mac Exchange Rates (Direct Variation and Proportions)&nbsp;<br/>Objective 1: Write an equation of a line given a description of the relationship.<br/>Objective 2: Write an equation of a line that models data from a table.&nbsp;<br/>Objective 3: Write an equation of a line from a graph of the line.&nbsp;<br/>Objective 4: Graph a line by plotting points.&nbsp;<br/>Lesson 3-8: Party Planning (Point-Slope Form and Linear Modeling)&nbsp;<br/>Objective 1: Find the y intercept and equation of a line given two points.&nbsp;<br/>Objective 2: Find the equation of a line using point-slope form.&nbsp;<br/>Objective 3: Convert between forms of a linear equation.&nbsp;<br/>Lesson 3-9: The Great Tech Battle (Linear Relationships and Lines of Best Fit)&nbsp;<br/>Objective 1: Determine whether two variables have a linear relationship.&nbsp;<br/>Objective 2: Calculate the line of best fit for a set of data using a spreadsheet.&nbsp;<br/>Objective 3: Calculate the line of best fir for a set of data using a calculator.&nbsp;<br/>Objective 4: Interpret the correlation coefficient for a data set.&nbsp;<br/>Lesson 3-10: All Systems Go (Solving Problems with Systems of Equations)&nbsp;<br/>Objective 1: Solve an application problem involving a system of equations. &nbsp;<br/>Objective 2: Illustrate the solution to a system of equations using a table.&nbsp;<br/>Objective 3: Illustrate the solution to a system of equations using a graph.&nbsp;<br/>Unit 4: Living in a Nonlinear World&nbsp;<br/>Lesson 4-1: Oh Yeah? Prove It (Inductive and Deductive Reasoning)&nbsp;<br/>Objective 1: Apply inductive reasoning to make a conjecture.&nbsp;<br/>Objective 2: Disprove a conjecture by finding a counterexample.&nbsp;<br/>Objective 3: Apply deductive reasoning to solve a problem.&nbsp;<br/>Lesson 4-2: A Road Map to Success (The Pythagorean Theorem and Distance)&nbsp;<br/>Objective 1: Solve application problems using the Pythagorean Theorem.&nbsp;<br/>Objective 2: Solve application problems involving the distance formula.&nbsp;<br/>Lesson 4-3: The Error of Your Ways (Polling and Margin of Error)&nbsp;<br/>Objective 1: Determine the margin of error in a given poll.&nbsp;<br/>Objective 2: Explain the meaning of the margin of error in a given poll.&nbsp;<br/>Objective 3: Calculate the number of poll respondents needed for a given margin of error.&nbsp;<br/>Lesson 4-4: Where's My Jetpack? (Inverse vs. Direct Variation)&nbsp;<br/>Objective 1: Identify situations where inverse variation occurs.&nbsp;<br/>Objective 2: Solve problems involving direct and inverse variation.&nbsp;<br/>Lesson 4-5: Sit Back and Watch Your Money Grow (Exponential Growth Equations)&nbsp;<br/>Objective 1: Define function and use function notation.&nbsp;<br/>Objective 2: Identify the significance of a and b in an equation of the form y = ab^x&nbsp;<br/>Objective 3: Find exponential models.&nbsp;<br/>Objective 4: Compare exponential models using graphs, tables, and formulas.&nbsp;<br/>Lesson 4-6: Follow the Bouncing Golf Ball (Exponential Curve Fitting)&nbsp;<br/>Objective 1: Gather and organize data from an experiment.&nbsp;<br/>Objective 2: Find an exponential equation of best fir for data.&nbsp;<br/>Objective 3: Study the decay rate for exponential decay.&nbsp;<br/>Lesson 4-7: Irate Ducks (Graphs of Quadratic Equ
ations)&nbsp;<br/>Objective 1: Identify a parabolic graph.&nbsp;<br/>Objective 2: Solve problems using the graph of a quadratic equation.&nbsp;<br/>Lesson 4-8: Minding Your Business (Add, Subtract, and Multiply Expressions)&nbsp;<br/>Objective 1: Combine algebraic expressions using addition or subtraction.&nbsp;<br/>Objective 2: Demonstrate the relationships between revenue, cost, and profit functions.&nbsp;<br/>Objective 3: Combine algebraic expressions using multiplication.&nbsp;<br/>Objective 4: Determine a revenue function from a demand function by multiplying algebraic expressions.&nbsp;<br/>Lesson 4-9: The F Word (Factoring)&nbsp;<br/>Objective 1: Explain why factoring is useful in algebra.&nbsp;<br/>Objective 2: Explain the connection between zeros and x-intercepts.&nbsp;<br/>Objective 3: Factor a trinomial.&nbsp;<br/>Lesson 4-10: Going... Going... GONE! (The Quadratic Formula and Max/Min)&nbsp;<br/>Objective 1: Solve a quadratic equation using the quadratic formula.&nbsp;<br/>Objective 2: Find the vertex of a parabola using x = -b/2a.&nbsp;<br/>Objective 3: Solve application problems using the quadratic formula.&nbsp;<br/>Lesson 4-11: Down the Drain (Quadratic Curve Fitting)&nbsp;<br/>Objective 1: Calculate the equation of best fit for a set of quadratic data using technology.&nbsp;<br/>Objective 2: Solve application problems that involve a quadratic set of data.<br/><br><br><br><br/>