Montana Math MT.CORE.GEOM.MEAS.1

MathGrades 9–12Measurement, Problem-Solving, and Geometric Modeling

The Standard

Use the Pythagorean Theorem to calculate distance in the coordinate plane.

2026 Montana Mathematics Content Standards · Geometric Reasoning

Teacher's field guide

What Students Need to Do: Students plot two points and draw a right triangle between them. They use the horizontal and vertical lengths to calculate the straight-line distance.
What Mastery Looks Like: Given (1, 1) and (4, 5), a student finds lengths of 3 and 4, then a distance of 5 units. They can explain why 7 units is a path along grid lines instead.
Common Misconceptions: Students may add the horizontal and vertical lengths, giving a path along grid lines. Others mix an x-value with a y-value when finding a length, or forget to take the square root.
How to Assess It: Ask students to find the distance between (-2, 1) and (4, 9). Have them draw the right triangle and show their calculation.

Lesson moves

Give students graph paper and rulers to plot (1, 2) and (4, 6), draw the right triangle, and calculate the diagonal.
Ask, “Why is the distance from (0, 0) to (3, 4) not 7 units?” Have students write two sentences.
Hand out point-pair cards; partners match each pair with a distance card and check by sketching a right triangle.
Draw a park map at 100 meters per square, with two gates 3 squares apart horizontally and 4 vertically; find their distance.

Free download

$Preview of the MT.CORE.GEOM.MEAS.1 printable worksheet$

A ready-to-print activity worksheet aligned to MT.CORE.GEOM.MEAS.1, with an answer key for the teacher on its own page. No account needed.

PDF, US Letter, prints cleanly in black and white.

Keep exploring

Grade, subject, topic, and the complete standard are prefilled. Create one free, no account needed.