了得網教材_培養數學能力的途徑(第2版) (美)大衛·索貝奇(David Sobecki),(

●Unit 1: NUMERIC DATA: VISUALIZE AND ORGANIZE
Lesson 1-1 Where Does the Time Go?
Analyze personal time management for a week of activities
Solve problems involving percentages
Create and interpret pie charts.
Create and interpret bar graphs
Lesson 1-2 Do You Have Anything To Add?
Identify circumstances where addition or subtraction is possible
Add or subtract quantities
Lesson 1-3 It's About Accumulation
Interpret multiplication as repeated addition
Multiply or divide quantities
Lesson 1-4 Avoiding Empty Pockets
Distinguish between simple interest and compound interest
Distinguish between linear and exponential growth
Interpret exponents as repeated multiplication.
Simplify numeric expressions involving exponents and the order of operations
Lesson 1-5 A Coordinated Effort
Use a rectangular coordinate system
Connect data to graphs
Interpret graphs.
Lesson 1-6 What are the Chances?
Compute and interpret basic probabilities
Translate a probability to a percent chance
Recognize the difference between theoretical and empirical probability
Lesson 1-7 Debt: Bad. Chocolate: ood
Convert numbers between decimal and scientific notation
Describe the significance of writing numbers in scientific notation
Lesson 1-8 What's Your Type?
Analyze how your personality type affects how you interact with others
Create and interpret Venn diagrams
Describe sets using appropriate terminology
Lesson 1-9 News in the Data Age
Explain the difference between a population and a sample
Organize data with frequency distributions and histograms
Analyze data with stem and leaf plots
Language and Symbolism Review
Technology Review
Learning objective review
Unit 2: MAKING SENSE OF IT ALL
Lesson 2-1 Did You Pass the Test?
Consider strategies for preparing for and taking math tests
Understand the impact of a single question, or a single exam
Calculate, interpret, and compare measures of average
Lesson 2-2 Ins and outs
Distinguish between inputs(independent variables) and outputs (dependent variables)
Evaluate expressions and formulas
Interpret expressions
Lesson 2-3 From Another Dimension
Determine units for area and volume calculations
Use formulas to calculate areas and volumes
Discuss important skills for college students to have
Simplify expressions
Lesson 2-4 It Works Like Magic
Convert units using dimensional analysis
Convert units within the metric system
Convert rates of change
Convert temperatures
Lesson 2-5 Take a Guess
Identify the steps in a systematic problem-solving procedure
Make educated guesses
Compare numbers using inequality symbols
Lesson 2-6 It's All Relative
Compare change to relative change
Apply percent error.
Lesson 2-7 Is that Normal?
Identify the steps in computing standard deviation, and describe why they lead to a measure of variation
Compute and interpret standard deviation
Use a normal distribution to find probabilities
Lesson 2-8 Meeting Expectations
Estimate expected value experimentally
Compute expected value
Compute weighted grades and GPA
Language and Symbolism Review
Technology Review
Learning objective review
Unit 3: THINKING LINEARLY
Lesson 3-1 88 Miles Per Hour
Interpret a rate of change
Predict a future value from a rate of change
Calculate a rate of change
Find the intercepts of a line
Interpret the meaning of the intercepts of a line
Lesson 3-2 A Snow Job
Write expressions based on given information
Interpret algebraic expressions in context
Evaluate and simplify expressions
Lesson 3-3 All Things Being Equal
Explain what it means to solve an equation
Demonstrate the procedures for solving a basic linear equation
Solve a literal equation for a designated variable.
Lesson 3-4 All Quantities Are Not Created Equal
Demonstrate the procedures for solving a linear inequality
Solve application problems that involve linear inequalities
Lesson 3-5 What's Your Problem?
Solve application problems using numerical calculations
Solve application problems using linear equations
Lesson 3-6 Big Mac Exchange Rates
Identify situations where direct variation occurs
Write an appropriate direct variation equation for a situation
Solve an application problem that involves direct variation
Lesson 3-7 The Effects of Alcohol
Write an equation of a line given a description of the relationship
Write an equation of a line that models data from a table.
Write an equation of a line from a graph of the line
Graph a line by plotting points
Lesson 3-8 Party Planning
Find the y intercept and equation of a line given two points
Find the equation of a line using point-slope form
Convert between forms of a linear equation.
Lesson 3-9 The Great Tech Battle
Determine whether two variables have a linear relationship
Calculate the line of best fit for a set of data using a spreadsheet
Calculate the line of best fit for a set of data using a calculator.
Interpret the correlation coefficient for a data set
Lesson 3-10 All Systems Go
Solve an application problem involving a system of equations
Illustrate the solution to a system of equations using a table 3 Illustrate the solution to a system of equations using a graph
Language and symbolism Review
Technology Review
Learning objective Review
Unit 4: LIVING INA NONLINEAR WORLD
Lesson 4-1 Oh Yeah? Prove It!
Apply inductive reasoning to make a conjecture
Disprove a conjecture by finding a counterexample
Apply deductive reasoning to solve a problem
Lesson 4-2 A Road Map to Success
Solve application problems using the pythagorean Theorem
Solve application problems involving the distance formula
Lesson 4-3 The Error of Your Ways
Determine the margin of error in a given poll
Explain the meaning of the margin of error in a given poll
Calculate the number of poll respondents needed for a given margin of error.
Lesson 4-4 Where's My Jetpack?
Identify situations where inverse variation occurs
Solve problems involving direct and inverse variation
Lesson 4-5 Sit Back and Watch Your Money Grow
Define function and use function notation
Identify the significance of a and b in an equation of the form y= ab
Find exponential models
Compare exponential models using graphs, tables, and formulas
Lesson 4-6 Follow the Bouncing Golf Ball
Gather and organize data from an experiment
Find an exponential equation of best fit for da
Study the decay rate for exponential decay
Lesson 4-7 rate Ducks
Identify a parabolic graph
Solve problems using the graph of a quadratic equation
Lesson 4-8 Minding Your Business
Combine algebraic expressions using addition or subtraction
Demonstrate the relationships between revenue, cost, and profit functions
Combine algebraic expressions using multiplication
Determine a revenue function from a demand function by multiplying algebraic expressions
Lesson 4-9 The F Word
Explain why factoring is useful in algebra
Explain the connection between zeros and x-intercepts
Factor a trinomial
Lesson 4-10 Going. Going. GONE
Solve a quadratic equation using the quadratic formula
Find the vertex of a parabola using X=-b/2a
Solve application problems using the quadratic formula
Lesson 4-11 Down the Drain
Calculate the equation of best fit for a set of quadratic data using technology
Solve application problems that involve a quadratic set of data
Language and symbolism Review
Learning Objective Review
Index
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