Bivariate data or data related to two variables is displayed on a scatter plot. The data points on a scatter plot are NOT connected by a line. A scatter plot may show a relationship (also called an association or correlation) between the variables. This relationship can be linear, nonlinear, positive, and/or negative. If no pattern between the data points is evident, we say there is no association between the variables. A line of best fit or trend line can be drawn and used to make predictions about data points that are not plotted on the graph already. When drawing a line of best fit, approximately half the data points should be above the trend line and half below.

Two-way tables are frequency tables. They display population data that has been categorized two-ways. In the two-way table below, the data has been categorized by grade level and favorite subject.

### Monday, April 23

Common Core Standards and Extended Standards

8.SP.1 Construct and interpret scatter plots for bivariate measurement data to investigate patterns of association between two quantities. Describe patterns such as clustering, outliers, positive or negative association, linear association, and nonlinear association.

8.SP.2 Know that straight lines are widely used to model relationships between two quantitative variables. For scatter plots that suggest a linear association, informally fit a straight line, and informally assess the model fit by judging the closeness of the data points to the line.

8.SP.3 Use the equation of a linear model to solve problems in the context of bivariate measurement data, interpreting the slope and intercept.

8.SP.4 Understand that patterns of association can also be seen in bivariate categorical data by displaying frequencies and relative frequencies in a two-way table. Construct and interpret a two-way table summarizing data on two categorical variables collected from the same subjects. Use relative frequencies calculated for rows or columns to describe possible association between the two variables.

Student Objectives

I can differentiate between positive and negative associations, and linear and nonlinear associations.

I can identify outliers.

I can create and use a trend line to make predictions.

I can write the equation of a line and interpret the slope and y-intercept.

I can complete a two-way table.

I can solve problems and answer questions involving proportional and nonproportional relationships, slope, y-intercept, slope-intercept form, linear and nonlinear relationships, functions, equations and systems of equations, volume, and statistics.

Bellwork

Students will complete *Math Minute 95*.

Equation tool tutorial

Lesson (Scatter Plots/State Test Prep)

1. State test question challenge

2. IXL demonstration and guided practice: scatter plot skills

3. Guided practice: workbook pages 90, 122, 148, 180, 222, 266, 310, 334, 370

4. IXL review championship round 1

5. Independent or partner practice: scatter plots worksheet & IXL module 14 to-do list

Closing

*GoMath* workbook: pages

Homework

The IXL module 14 to-do list will be due on Friday, May 4. On May 4, there will also be a quiz over bivariate data (scatter plots and two-way tables).

**Tuesday, April 24**

Common Core Standards and Extended Standards

8.SP.1 Construct and interpret scatter plots for bivariate measurement data to investigate patterns of association between two quantities. Describe patterns such as clustering, outliers, positive or negative association, linear association, and nonlinear association.

8.SP.2 Know that straight lines are widely used to model relationships between two quantitative variables. For scatter plots that suggest a linear association, informally fit a straight line, and informally assess the model fit by judging the closeness of the data points to the line.

8.SP.3 Use the equation of a linear model to solve problems in the context of bivariate measurement data, interpreting the slope and intercept.

8.SP.4 Understand that patterns of association can also be seen in bivariate categorical data by displaying frequencies and relative frequencies in a two-way table. Construct and interpret a two-way table summarizing data on two categorical variables collected from the same subjects. Use relative frequencies calculated for rows or columns to describe possible association between the two variables.

Student Objectives

I can differentiate between positive and negative associations, and linear and nonlinear associations.

I can identify outliers.

I can create and use a trend line to make predictions.

I can write the equation of a line and interpret the slope and y-intercept.

I can complete a two-way table.

I can solve problems and answer questions involving proportional and nonproportional relationships, slope, y-intercept, slope-intercept form, linear and nonlinear relationships, functions, equations and systems of equations, volume, and statistics.

Bellwork

Students will complete *Math Minute 96*.

Lesson (Two-Way Tables/State Test Prep)

1. State test question challenge

2. Go over homework.

3. Demonstration and guided practice: two-way tables (worksheet & explore activity 1: “Making a Two-Way Table” on page 451 of workbook, example 1: “Deciding Whether There is an Association” on page 454 of workbook)

4. Cooperative practice: #1, 4, 5, 6 on pages 454 and 455, #1 on page 462, #3a on page 462

5. IXL review championship round 2

6. Independent practice: IXL module 14 to-do list and two-way tables worksheet

Closing

*GoMath *workbook: page

Homework

The IXL module 14 to-do list will be due on Friday, May 4. On May 4, there will also be a quiz over bivariate data (scatter plots and two-way tables). Finish the assigned workbook page and the two-way tables worksheet.

**Wednesday, April 25**

(Shortened class due to state math test)

Common Core Standards and Extended Standards

8.SP.1 Construct and interpret scatter plots for bivariate measurement data to investigate patterns of association between two quantities. Describe patterns such as clustering, outliers, positive or negative association, linear association, and nonlinear association.

8.SP.2 Know that straight lines are widely used to model relationships between two quantitative variables. For scatter plots that suggest a linear association, informally fit a straight line, and informally assess the model fit by judging the closeness of the data points to the line.

8.SP.3 Use the equation of a linear model to solve problems in the context of bivariate measurement data, interpreting the slope and intercept.

8.SP.4 Understand that patterns of association can also be seen in bivariate categorical data by displaying frequencies and relative frequencies in a two-way table. Construct and interpret a two-way table summarizing data on two categorical variables collected from the same subjects. Use relative frequencies calculated for rows or columns to describe possible association between the two variables.

Student Objectives

I can differentiate between positive and negative associations, and linear and nonlinear associations.

I can identify outliers.

I can create and use a trend line to make predictions.

I can write the equation of a line and interpret the slope and y-intercept.

I can complete a two-way table.

I can solve problems and answer questions involving proportional and nonproportional relationships, slope, y-intercept, slope-intercept form, linear and nonlinear relationships, functions, equations and systems of equations, volume, and statistics.

Bellwork

Students will complete *Math Minute 97*.

Lesson (State Test Prep)

1. State test question challenge

2. Go over

*GoMath*workbook pages

3. Go over two-way tables homework

4. IXL review championship round 3

5. Footloose tournament in teams using assessment readiness pages in workbook-pages 63-64, 189-190, 271-272, 339-340, and 425-426.

6. Cooperative review: Smarter Balanced test prep task cards

Closing

*GoMath* workbook page

Homework

The IXL module 14 to-do list will be due on Friday, May 4. On May 4, there will also be a quiz over bivariate data (scatter plots and two-way tables). Finish the assigned workbook pages.

**Thursday, April 26**

(Shortened class due to state math test)

8.SP.1 Construct and interpret scatter plots for bivariate measurement data to investigate patterns of association between two quantities. Describe patterns such as clustering, outliers, positive or negative association, linear association, and nonlinear association.

8.SP.2 Know that straight lines are widely used to model relationships between two quantitative variables. For scatter plots that suggest a linear association, informally fit a straight line, and informally assess the model fit by judging the closeness of the data points to the line.

8.SP.3 Use the equation of a linear model to solve problems in the context of bivariate measurement data, interpreting the slope and intercept.

8.SP.4 Understand that patterns of association can also be seen in bivariate categorical data by displaying frequencies and relative frequencies in a two-way table. Construct and interpret a two-way table summarizing data on two categorical variables collected from the same subjects. Use relative frequencies calculated for rows or columns to describe possible association between the two variables.

Student Objectives

I can differentiate between positive and negative associations, and linear and nonlinear associations.

I can identify outliers.

I can create and use a trend line to make predictions.

I can write the equation of a line and interpret the slope and y-intercept.

I can complete a two-way table.

Bellwork

Students will complete *Math Minute 98*.

Lesson (Scatter Plots)

1. Go over *GoMath* workbook pages.

2. Scatter plots foldable notes and guided practice

Closing

Homework

The IXL module 14 to-do list will be due on Friday, May 4. On May 4, there will also be a quiz over bivariate data (scatter plots and two-way tables). Finish the assigned workbook pages.

**Friday, April 22, 2016**

8.SP.1 Construct and interpret scatter plots for bivariate measurement data to investigate patterns of association between two quantities. Describe patterns such as clustering, outliers, positive or negative association, linear association, and nonlinear association.

8.SP.2 Know that straight lines are widely used to model relationships between two quantitative variables. For scatter plots that suggest a linear association, informally fit a straight line, and informally assess the model fit by judging the closeness of the data points to the line.

8.SP.3 Use the equation of a linear model to solve problems in the context of bivariate measurement data, interpreting the slope and intercept.

8.SP.4 Understand that patterns of association can also be seen in bivariate categorical data by displaying frequencies and relative frequencies in a two-way table. Construct and interpret a two-way table summarizing data on two categorical variables collected from the same subjects. Use relative frequencies calculated for rows or columns to describe possible association between the two variables.

Student Objectives

I can solve problems and answer questions involving proportional and nonproportional relationships, slope, y-intercept, slope-intercept form, linear and nonlinear relationships, functions, equations and systems of equations, volume, and statistics.

Bellwork

Students will complete *Math Minute 99*.

Lesson (Bivariate Data: Scatter Plots)

1. Go over homework.

2. Associations task card challenge: positive, negative, or no association between given variables

3. Demonstration: Illuminations “Line of Best Fit Tool”

4. Scatter plots task cards: interpret scatter plots

Closing

Journal entry/writing prompt: “What I know about scatter plots……..”

Homework

The IXL module 14 to-do list will be due on Friday, May 4. On May 4, there will also be a quiz over bivariate data (scatter plots and two-way tables). Finish the scatter plots review packet.