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Use a Property of Triangles to Solve for Unknown Angles

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Use a Property of Triangles to Solve for Unknown Angles

TEKS Math: 8.8.D

(D) Use informal arguments to establish facts about the angle sum and exterior angle of triangles, the angles created when parallel lines are cut by a transversal, and the angle-angle criterion for similarity of triangles.

CCSS Math: 4.MD.7

4.MD.7 Recognize angle measure as additive. When an angle is decomposed into non-overlapping parts, the angle measure of the whole is the sum of the angle measures of the parts. Solve addition and subtraction problems to find unknown angles on a diagram in real world and mathematical problems, e.g., by using an equation with a symbol for the unknown angle measure.

This measurement and geometry lesson focuses on using a property of triangles to solve for unknown angles. The lesson includes research-based strategies and strategic questions that prepare students for assessments. In this lesson, students list the given angle measurements, then solve for the unknown angle by adding the given angle measurements and subtracting the sum from 180 degrees. Finally, they interpret the measurement of the angle. In addition to the lesson, there are four pages of Independent Practice and review with questions modeled after current adaptive testing items.

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Grades:
4
Subjects:
Math

Standard Alignments:

TEKS Math: 8.8.D

(D) Use informal arguments to establish facts about the angle sum and exterior angle of triangles, the angles created when parallel lines are cut by a transversal, and the angle-angle criterion for similarity of triangles.

CCSS Math: 4.MD.7

4.MD.7 Recognize angle measure as additive. When an angle is decomposed into non-overlapping parts, the angle measure of the whole is the sum of the angle measures of the parts. Solve addition and subtraction problems to find unknown angles on a diagram in real world and mathematical problems, e.g., by using an equation with a symbol for the unknown angle measure.

Log in to view this lesson. If you do not have an account, subscribe now and begin your free 30 day trial.

Grades:
4
Subjects:
Math

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