Montana Math MT.6.EE.8
The Standard
Use variables to represent two quantities that change in relationship to one another, analyze the relationship between the dependent and independent variables using graphs and tables, and write an equation to express one quantity in terms of the other. This standard should incorporate cultural context relating to Montana Indigenous Peoples and local communities.
2026 Montana Mathematics Content Standards
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students choose a variable for each of two changing quantities. They use a table and graph to show how one quantity depends on the other, then write an equation for the relationship.
What Mastery Looks Like
- Given a rule of four chairs per table, a student writes c = 4t, makes a table, and plots the points with tables on the horizontal axis. They use the equation to predict the chairs needed for 15 tables.
Common Misconceptions
- Students may put the number of chairs on the horizontal axis even though they chose the number of tables first. Some write c = t + 4 instead of c = 4t. Others plot the table values correctly but use an uneven scale on an axis.
How to Assess It
- Exit ticket: A proposed community gathering needs four chairs at each table. Make a table for 0, 2, and 5 tables, plot the points, and write an equation for the number of chairs.
Lesson moves
Ways to Teach It
Use paper squares as tables and counters as chairs to build seating plans for 1, 2, and 3 tables.
Ask, “If we add one table, what changes, and what stays the same?” Have students explain their answers in two sentences.
Give pairs cards showing tables, graphs, and equations; have them match each set and check one plotted point.
For a proposed seating plan at Crow Fair, an Apsáalooke gathering, choose a chairs-per-table rule and predict chairs for 15 tables.
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Printable MT.6.EE.8 Worksheet
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