CCSS.Math.Content.8.SP.A

CCSS.Math.Content.8.SP.A is a cluster heading. These are the individual standards under it.

• CCSS.Math.Content.8.SP.A.1

  Construct and interpret scatter plots for bivariate measurement data to investigate patterns of association between two quantities. Describe patterns such as cl...

• CCSS.Math.Content.8.SP.A.2

  Know that straight lines are widely used to model relationships between two quantitative variables. For scatter plots that suggest a linear association, informa...

• CCSS.Math.Content.8.SP.A.3

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

• CCSS.Math.Content.8.SP.A.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. Co...

01

What Students Need to Do

Students examine paired numerical or categorical data to find relationships between two variables. They represent data with scatter plots or two-way tables and support claims with patterns, fitted lines, or relative frequencies.

02

What Mastery Looks Like

Students create and interpret scatter plots and two-way tables. They describe direction, form, strength, clusters, and outliers, then use a fitted line or relative frequencies to support conclusions.

03

Common Misconceptions

Students may treat every scatter plot as linear or assume one unusual point proves there is no association. They may also confuse association with causation or misread frequencies in a two-way table.

04

How to Assess It

Give students one scatter plot and one two-way table. Ask them to describe each association, cite numerical or visual evidence, and name one limitation.

1. 01

   Have students measure hand span and height, plot the class data, then identify direction, clusters, and outliers.

2. 02

   Show a scatter plot and ask, "What claim can you make, and which two features of the graph support it?"

3. 03

   Play Association Sort with cards showing graphs, tables, and descriptions, matching each display to positive, negative, or no association.

4. 04

   Compare school attendance and course grades using anonymous data, then discuss whether the association proves that attendance causes higher grades.

• CCSS.Math.Content.6.EE.C

  Represent and analyze quantitative relationships between dependent and independent variables.

• CCSS.Math.Content.5.OA.B

  Analyze patterns and relationships.