Download M07CG2.1.1a Use angle relationships to find the missing angle

PA Reporting Category: M07.C-G Geometry
PA Core Standards: CC.2.3.7.A.1 Solve real‐world and mathematical problems involving angle measure, area, surface
area, circumference, and volume.
Assessment Anchor: M07.C-G.2 Solve real-world and mathematical problems involving angle measure,
circumference, area, surface area, and volume.
Descriptor: M07.C-G.2.1 Identify, use, and describe properties of angles and their measures.
Eligible Content: M07.C-G.2.1.1 Identify and use properties of supplementary, complementary and adjacent angles in
a multi- step problem to write and solve simple equations for an unknown angle in a figure.
Alternate Eligible Content Code: M07CG2.1.1a
Alternate Eligible Content: Use angle relationships to find the missing angle.
Know
Alternate Eligible Content - Coded
Context
DO
 Missing angle
 Angle relationships
 Use
Definition notes:
Angle relationships – Some angles have mathematical relationships that tell us something about them. The angle
relationships that are the focus of the Eligible Content are limited to supplementary, complementary, and adjacent.
Supplementary Angles – Two angles whose sum is equal to 180°, making a straight line.
Complementary Angles – Two angles whose sum is equal to 90°, making a right angle.
Adjacent Angles – Two angles that share a ray.
Intent Statement:
Use angle relationships to make a decision or complete a task.
1. Most Complex Level (at the level as written):
 Content target: Student will identify supplementary angles.
 Directions to student: Which two angles will form a line?
2. Mid-Complex Level:
 Content target: Student will apply concept of vertical angles.
 Directions to student: Are angles A and B the same size?
3. Least Complex Level:
 Content target: Student will put to angles together to prove they are supplementary.
 Directions to student: Use these two triangles to make a straight line.
Pieces
Solution