Wyoming Math 4.MD.7

Math4th GradeMeasurement and Data

The Standard

Solve addition and subtraction problems to find unknown angles on a diagram in real-world and mathematical problems.

2023 Wyoming Mathematics Content and Performance Standards · Geometric measurement: understand concepts of angle and measure angles.

Teacher's field guide

What Students Need to Do: Students find missing angles in diagrams by adding or subtracting known angles. They use a marked total, a right angle, or a straight angle to work out the missing part.
What Mastery Looks Like: Given a straight angle split into 112° and x°, a student writes 112 + x = 180 and finds x = 68°. They check that the two parts add to the whole.
Common Misconceptions: Students may add when they need to subtract, or use 90° for a straight angle instead of 180°. Some judge an angle by the length of its rays.
How to Assess It: Draw a straight line with a ray rising from it, and label the two adjacent angles 125° and x°. Ask students to find x and write an equation that explains their answer.

Lesson moves

Fold a paper corner to make 90°, draw a ray inside it, measure one angle with a protractor, and calculate the other.
Show a 90° corner split into 35° and x°, and ask partners to explain why they subtract instead of add.
Make cards with split right and straight angles and answers on the back; pairs solve for x, then flip to check.
Sketch a door swinging 90° from closed to open, label its current swing 30°, and ask how many degrees remain.

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