Grade 07 Mathematics - EC: M07.C-G.2.1.1 - SAS

Grade 07 Mathematics - EC: M07.C-G.2.1.1

Continuum of Activities

The list below represents a continuum of activities: resources categorized by Standard/Eligible Content that teachers may use to move students toward proficiency. Using LEA curriculum and available materials and resources, teachers can customize the activity statements/questions for classroom use.

This continuum of activities offers:

Instructional activities designed to be integrated into planned lessons
Questions/activities that grow in complexity
Opportunities for differentiation for each student’s level of performance

Grade Levels

7th Grade

Course, Subject

Mathematics

Related Academic Standards / Eligible Content

M07.C-G.2.1.1 M07.C-G.2.1.1

Identify and use properties of supplementary, complementary, and adjacent angles in a multistep problem to write and solve simple equations for an unknown angle in a figure.

Activities

Write an equation to find the missing angle measurements.

Write an equation to find the missing angle measurements.

Find the value of the variable y in the diagram. Show your work.

The picture below shows a corner of a rectangular room. Find the measure of each angle. Show your work.

Find the value of N in the diagram, show your work.

Given rectangle ABCD, find the value of , show your work.

Answer Key/Rubric

3x + 14 + x – 2 = 180

4x + 10 = 2x - 7

Y = 4, student work might include but is not limited to,

3x + 6x = 180
9x = 180
X = 20

2x + 5y = 3x
2(20) + 5y = 3(20)
40 + 5y = 60
5y = 20
Y = 4

The angles measure 75° and 15°, student work might include but are not limited to,

10x + 2x = 90
12x = 90
X= 7.5

10(7.5) = 75
2(7.5) = 15
Check: 75+15 = 90

N = 20°, student work might include but is not limited to,

6x – 32 + 8x – 26 = 180
14x – 58 = 180
14x = 238
X = 17

6x – 32
6 (17) – 32
102 – 32
70

70 +N = 90
N = 20

X = 37 and = 49°

2x -25 = x +12
X -25 = 12
X = 37

2x -25
2(37) -25
74-25
49

Check:
X +12
37 +12
49