Montana Math MT.CORE.DATA.INT.7.a
The Standard
- MT.CORE.DATA.INT.7
- Analyze the relationship between two categorical variables in context. This standard should incorporate cultural context relating to Montana Indigenous Peoples and local communities by: Summarizing categorical data for two categories in two-way frequency tables and visual representations, Interpreting relative frequencies for categorical data in context, and Identifying possible associations and trends in categorical data.
Analyze the relationship between two categorical variables in context. This standard should incorporate cultural context relating to Montana Indigenous Peoples and local communities by: Summarizing categorical data for two categories in two-way frequency tables and visual representations,
2026 Montana Mathematics Content Standards · Data Reasoning and Probability
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students sort data by two traits, such as event host and weekday or weekend. They tally each combination in a two-way table, make a bar chart, and compare percentages.
What Mastery Looks Like
- A student can fill in all four cells and check that the totals add up. They can use percentages within each host group to explain whether weekend events are more common for one host.
Common Misconceptions
- Students may put an event in the wrong cell or forget that the four cells must add to the total. They may compare raw counts when the groups differ in size, or divide by the grand total instead of a group total.
How to Assess It
- Exit ticket: In a fictional survey, 8 of 10 students choosing a public Montana tribal college event and 4 of 10 choosing a library event prefer Saturday. Make a two-way table, draw two 100% bars, and compare Saturday rates.
Lesson moves
Ways to Teach It
Print eight public event notices from a Montana tribal college and four from a local library; students sort by host and weekday or weekend, then tally.
Ask: “What share of each host’s listed events falls on a weekend? Does comparing counts give the same answer?”
Give pairs 16 commute cards labeled bus or walk and early or late; have them build tables and bar charts, then swap to check.
Check public event calendars for a Montana tribal college and a local library, then use weekend percentages to plan a possible visit.
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Related Standards
- MT.CORE.DATA.INT.7
Analyze the relationship between two categorical variables in context. This standard should incorporate cultural context relating to Montana Indigenous Peoples ...
- MT.CORE.DATA.INT.7.b
Interpreting relative frequencies for categorical data in context, and
- MT.CORE.DATA.INT.7.c
Identifying possible associations and trends in categorical data.
- MT.8.SP.4
Construct and interpret frequencies and relative frequencies for bivariate categorical data in a two-way table to investigate patterns of association. This stan...
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