CCSS.Math.Content.6.SP.A
The standard
Develop understanding of statistical variability.
Common Core State Standards for Mathematics
What this standard means
Students need to see that data vary, and that the variation matters. They should understand that a statistical question expects different answers, such as “How many minutes do sixth graders read each night?” They also need to describe a data set by its center, spread, and overall shape.
Mastery looks like writing good statistical questions, collecting or reading data, and explaining what the data show using words like typical, range, cluster, gap, and outlier. Students often get stuck when they treat every question as statistical, or when they only name the highest and lowest values without describing the whole set.
Ways to teach it
- Hands-on activity: Have students measure pencil lengths in centimeters, make a dot plot, then label the cluster, gap, range, and any outliers.
- Discussion prompt: Ask, “Which question will have more varied answers, your age or your bedtime, and how do you know?”
- Quick assessment: Give five questions and have students sort them into statistical and non-statistical, then explain one choice in writing.
- Real-world connection: Show cafeteria lunch wait times for one week and ask what a typical wait seems to be and how much it varies.
Plan a lesson for CCSS.Math.Content.6.SP.A
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Related standards
- CCSS.Math.Content.6.SP.B.5d
Relating the choice of measures of center and variability to the shape of the data distribution and the context in which the data were gathered.
- CCSS.Math.Content.HSS-IC.A
Understand and evaluate random processes underlying statistical experiments
- CCSS.Math.Content.6.SP.A.1
Recognize a statistical question as one that anticipates variability in the data related to the question and accounts for it in the answers.
- CCSS.Math.Content.6.SP.A.2
Understand that a set of data collected to answer a statistical question has a distribution which can be described by its center, spread, and overall shape.