Date 
Sections 
Topics 
Prerequisite Skills 
Student learning outcomes

Week 1 
Lesson 1.A 
Data 
Understand what is a learning community

 Collect data from daily life
 Work positively in a group to make a decision

Week 1 
Lesson 1.B 
Learning Community 

Seek and give help to one another inside and outside of class

Week 1 
Lesson 1.C 
Firstdegree equation involving percentages 
Determine the original amount, given the percentage that a given number is of the original

 Understand the difference between the terms plurality and majority in an election
 Create a firstdegree equation involving percentages and solve for the variable
 Apply and justify selection strategies to election results and decisions about other issues
 Multiple ranking methods can be employed to make decisions about other issues
 Employ the "Instant Runoff" method to determine the winner of an election

Week 2 
Lesson 1.D 
Ranking methods 

 Earning the most votes may not be sufficient to win an election
 Employ the Borda Count method to determine the winner of an election
 Apply and justify selection strategies to election results

Week 2 
Lesson 2.A 
Graphical Display

 Be able to read and interpret graphical displays
 Know the definition of mean
 Know the definition of median

 Analyze a variety of graphical displays and interpret them in context
 Compute the mean of a set of data
 Construct a dot plot or histogram from data

Week 2 
Lesson 2.C 
Analyzing graphical displays

 Compare sidebyside graphical displays
 Be able to read and interpret graphical displays

Write a contextual analysis of a graphic display in a formal paper including appropriate mathematical language and explanations

Week 3 
Lesson 3.A 
Sampling 
Students should know the symbols for pop. Mean, sample mean, pop. Standard deviation, sample standard deviation

 Explain the difference between populations and samples
 Use the characteristics of a sample to describe the population
 Analyze the conclusions of a study and explain the limitations on inferences made

Week 3 
Lesson 3.B 
Mean and Central Limit Theorem 
Students should know how to determine the mean of a data set 
Graph sample means and use the central limit theorem to estimate the population mean

Week 3 
Lesson 3.C 
Standard Deviation 
Students should be able to calculate the size of a portion given the size of the whole and a percentage

 Use standard deviation to interpret the spread of a data set
 Calculate the percentage of data in a graph region

Week 4 
Lesson 4.A 
Probability

Students should be able to convert between fractions, decimals, and percentages 
 Calculate theoretical probability of two or more independent events
 Calculate AND and OR probabilities for independent events

Week 4 
Lesson 4.B 
Conditional Probability 
Students should be able to determine a conditional probability 
Calculate conditional probabilities for two or more dependent events

Week 5 
Lesson 5.A 
Conversions

 Be able to calculate unit ratios
 Be able to use ratios to convert units
 Be able to perform dimensional analysis

 Recognize when converting units is needed
 Use conversion to make comparisons

Week 5 
Lesson 5.B 
Index numbers

 Be able to convert ratios to decimals and percentages, and divide
 Be able to describe types of averages

 Perform calculations involving index numbers
 Make and justify decisions and evaluate claims using index numbers

Week 5 
Lesson 5.C 
Weighted averages 
Should be able to calculate mean

 Calculate weighted averages
 Use weighted averages to analyze data and draw conclusions about the data

Week 6 
Lesson 5.D 
Expected Value 
Be able to calculate, percentages, means, and weighted averages
be able to find the mean of a data set

 Calculate expected value
 Make predictions about real world scenarios

Week 6 
Lesson 6.A 
Weighted moving average graphs

 Weighted moving average
 Graph points
 Find the mean of a data set

 Calculate and compare simple and weighted moving averages
 Analyze graphs of moving average data
 Use simple and moving weighted averages to analyze data and draw conclusions about the data

Week 6 
Lesson 6.B 
Weighted moving average graphs continued

 Weighted moving average
 Find the mean of a data set
 Ue a spreadsheet to do calculations and create graphs

 Calculate and compare simple and weighted moving averages
 Write a contextual analysis of a graphical display
 Write a ratio or percentage and explain its meaning within a context

Week 6 
Lesson 7.A 
Ratios and percentages 
Be able to write and simplify fractions, create a pie graph, convert fractions to percentages

 Determine percentages based on parttowhole ratios
 Write a ratio or percentage and explain in meaning within a context
 Read a budget, determine values of line items, and draw conclusions about the overall distributions of funds

Week 7 
Lesson 7.B 
Parttopart ratios & Parttowhole ratios 
 Convert ratios to percentages
 Sketch pie graphs using parttowhole percentages

Construct a pie graph based on ratios and percentages

Week 7 
Lesson 7.C 
Absolute change (additive reasoning) & Relative change (multiplicative reasoning) 
Students should be able to create a line graph from data

 Analyze data in a spreadsheet and graphs
 Develop reasonable hypothesis supported by evidence
 Create line graphs and describe patterns in graphs
 Analyze and describe data using absolute (additive) comparison and relative (multiplicative) reasoning

Week 7 
Lesson 7.D 
Adjusting claims and hypothesis 
Students should be able to create a line graph from data 
Analyze data in a spreadsheet and graphs to compare changes in categories

Week 8 
Lesson 7.E 
Debttoincome (DTI) ratios 
Be able to write ratios and proportions, solve proportions, calculate percentages from ratios

 Calculate a DTI ratio
 Draw conclusions from DTI about the appropriateness of the percentage of income spent on housing and debt

Week 8 
Lesson 7.F 
Proportional reasoning 
Write rates, convert ratios to percentages

 Interpret ratios and percentages as rates of change
 Compare ratios and percentages
 Interpret graphical displays
 Compare mathematical relationships using a variety of representations

Week 8 
Lesson 8.A 
Mathematical (Linear) relationships

 Be able to plot ordered pairs, sketch graphs of linear equations, construct a linear equation given the slope and y intercept
 Write a linear equation based on a verbal description/or that passes through 2 points
 Solve a 2step linear equation

 Compare mathematical relationships using a variety of representations
 Write a linear equation given a slope and y intercept

Week 9 
Lesson 8.B 
Proportionality vs. Linearity 
Determine when 2 quantities are proportional 
Explain, compare, and contrast linear and proportional relationships

Week 9 
Lesson 8.C 
Simple and Compound Interest (Linear and Exponential Models)

 Write a percentage as a decimal
 Perform calculations with percentages

 Describe the difference between simple and compound interest in practical and mathematical terms
 Compare and contrast patterns in linear and exponential models

Week 10 
Lesson 8.D 
Regression

 Read a scatterplot
 Interpret the slope of a line in context

 Create a scatterplot and regression equation using technology and estimate the parameters of the line of best fit
 Interpret the parameters (slope, yintercept, coefficient of determination) of a simple linear regression

Week 10 
Lesson 8.E 
Piecewise Linear Function

 Use a percentage rate to calculate tax
 Use constant rates of change to write a linear equation
 Identify the slope of a linear function
 Solve a linear equation for a given output

 Model a progressive income tax system algebraically and graphically
 Compare a progressive income tax system to a flat tax system and explain advantages and disadvantages of different income tax systems

Week 10 
Lesson 9.A 
Depreciation

 Graph ordered pairs
 Identify the value of the output variable, given the input value, using a graphical and symbolic representation of the relationship between two variables

 Interpolate and extrapolate using a graphical representation of the relationship between two variables
 Use a symbolic model to find the exact value of one variable, given the value of the other variable, and relate those values to the context of the problem

Week 10 
Lesson 9.B 
Geometric interpretation of interpolation

 Graph data from a scenario
 Create proportions using the sides of similar triangles and solve them

 Create a proportion between corresponding sides of similar triangles
 Use variables with subscripts

Week 11 
Lesson 9.C 
Univariate, Bivariate, Correlation and Causation

 Calculate measures of central tendency
 Analyze data and visual displays of univariate and bivariate data and describe trends

 Create a line graph for univariate data
 Determine, informally, the correlation between bivariate data
 Analyze data and related graphs and describe the trend of the data

Week 11 
Lesson 9.D 
Univariate, Bivariate, Correlation and Causation 
Create and interpret a scatterplot 
Explain why, even if there is a strong correlation, a change in one variable may not cause a change in the other

Week 11 
Lesson 10.A 
Time series model of exponential growth 
Use formulas in spreadsheets

 Develop a time series model for the Fibonacci problem
 Test whether data are exponential by comparing the rate of growth to the population size

Week 12 
Lesson 10.B 
Linear and Exponential Models

 Create a table of values and scatterplot in a spreadsheet
 Calculate the average rate of growth for a period of time
 Calculate the first differences in a data set

 Evaluate the mathematical appropriateness of a model give historical data
 Determine whether a data set suggests a linear or exponential relationship
 Identify and use an appropriate model to predict a future outcome

Week 12 
Lesson 11.A 
Continuous Growth

 Analyze the relationship of input and output values in a problem situation
 Determine whether numerical and graphical relationships are increasing at a constant rate, at an increasing rate or at a decreasing rate

 Sketch a model for a population that increases at an increasing rate and a decreasing rate
 Identify behavior in a graph, draw conclusions about the behavior, and predict future outcomes

Week 12 
Lesson 11.B 
Carrying Capacity and Logistic Growth Rate

 Calculate absolute and relative change
 Read delta notation for absolute change

 Develop discrete models of natural phenomena and use the models to predict future values
 Calculate the carrying capacity and logistic growth rate of a realworld scenario

Week 13 
Lesson 11.C 
Logistic Growth Model 
Determine the increasing and/or decreasing behavior of outputs in a table 
Explore the changes of the values of the parameters of a logistic growth model and describe the effect of those changes on the model

Week 13 
Lesson 11.D 
Complex Population Growth and Decay Models

 Find the constant of proportionality and express variables that are jointly proportional
 Determine how jointly proportional variables affect each other in an abstract model

Develop a parameterized time series model with more than two dependent variables in a spreadsheet

Week 14 
Lesson 11.E 
Analyzing Complex Population Growth and Decay Models 
Extract data from an academic article and create models for the data

 Determine parameters to match a model’s predictions against historical data
 Create a spreadsheet involving the formulas of the model to predict future behavior

Week 14 
Lesson 12.A 
Periodic Function

 Plot points on coordinate axis
 Analyze the shape of a graph and find 12A coordinate values on a graph

 Sketch a graph that depicts a periodic phenomenon
 Identify the period and amplitude of a periodic function
 Compare and contrast the graphs of different periodic models

Week 15 
Lesson 12.B 
The Sine Function

 Plot points on a graph
 Understand that constants (Parameters) in an equation control the relationship between the dependent variable and independent variable

 Describe the effect that changing one or more parameters has on the graph of a sine function
 Change the parameters of the sine curve to match given criteria
