Mod 3 Topic B resource pkg.pdf

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Grade 7

Module 3

Topic B

Resource Packet

Name: _________

Team: _________

Block: _________

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Grade 7 Module 3 Page 1

Module 3 Lesson 10

Classify Angles

Angle- formed by 2 rays that share a common vertex. The symbol is a slanted capitol L.

Vertex- The point where the two rays meet.

Naming an angle

Method 1: Using a 3 letter name (all capitols) ےBAC 1. Name one point on one ray

2. Name the vertex point

3. Name one point on the other ray

Method 2: Using a 1 letter name (this can only be done when there is only one angle with this vertex in a

diagram) ے A

1. Name the vertex point

Method 3: Using a numerical name when the number is inside of the 2 rays. ے 1

Classify Angles

Acute Angle-

An angle with a measure greater than 0 and less than 90.

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Obtuse Angle- An angle that measures larger than 90 but less than 180 (90< measure <180)

Right Angle- An angle that is exactly 90. The two sides are perpendicular to each other. The notch inside tells us it is a right angle.

Congruent- Having the same measure

Vertical Angles- Opposite angles formed by the intersection of 2 lines. The vertical angles are congruent.

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1-10 95 90 85 80 75 70 65 60 55 50 11-20 45 40 35 30 25 20 15 10 5 0

1) 161° Obtuse

2) 153° Obtuse

3) 17° Acute

4) 88° Acute

5) 131° Obtuse

6) 90° Right

7) 38° Acute

8) 79° Acute

9) 174° Obtuse

10) 90° Right

11) 112° Obtuse

12) 50° Acute

13) 45° Acute

14) 14° Acute

15) 145° Obtuse

16) 107° Obtuse

17) 23° Acute

18) 133° Obtuse

Determine if the angle described is 'acute', 'obtuse','right' or 'straight'.

Finding Angles By Degrees

Math

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1-9 89 78 67 56 44 33 22 11 0

1)

B A

C

Which choice best represents ∟ABC?

A. 29° B. 101° C. 68° D. 131° 2) L K M

Which choice best represents ∟KLM?

A. 90° B. 147° C. 15° D. 175° 3) L K M

A. 90° B. 33° C. 128° D. 180° 4) B A C

A. 90° B. 176° C. 49° D. 152° 5) L K M

A. 26° B. 114° C. 71° D. 177° 6) L K M

A. 127° B. 149° C. 103° D. 56° 7) L K M

9.

A

Estimating Angle Solve each problem.

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Adjacent Angles - Angles that:  Have the same vertex (B)  share a common side (BC)  do not overlap

To find a missing measure:

1. Figure out what you know about the relationship between the angles :

 are they 2 adjacent angles inside of a right angle and should add up to 90?

 are they 2 adjacent angles inside of a straight angle and should add up to 180?

 are they vertical angles that are congruent?

2. Set up an equation (sum of the parts = whole) 3. Solve the equation

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Complementary and Supplementary Angles

Complementary Angles- Two angles that have a sum of 90

Supplementary Angles (Angles on a line)- Two angles that have a sum of 180

To find a missing measure:

 are the angles complementary and add up to 90?

 are the angles supplementary and add up to 180?

 are they vertical angles that are congruent?

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Angles at a Pont- Two or more angles that have a sum of 360

 Could you make a circle with all of the angle spreads, if so they add up to 360?

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Triangles

Triangle- A figure with three sides and three angles. The angles have a sum of 180.

1. Figure out what you know about the relationship between the angles:

 are any of the angles right angles, if so it = 90

 are the angles congruent

2. Set up an equation (sum of the angles = 180) 3. Solve the equation

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How to measure with a protractor:

1. Estimate the measure of your angle. Is it greater, less than or equal to 90

degrees?

2. Line up the center of the protractor with the vertex of the angle you want to

measure.

3. Line up 1 side of the angle with the baseline of the protractor (0 degrees) so

that the rest of the angle is inside the protractor.

4. Follow the numbers, starting with 0 degrees, until you get to the opposite

side of the angle. (It might help if you use a ruler to make the sides of the

angle longer) This is the measure of your angle. *

*A common error is to use the wrong set of numbers. Make sure your estimate

matches your measurement.

Vertex baseline

How to draw an angle with a protractor:

1. Start by drawing a ray (a line with one endpoint). The endpoint will be the

vertex of your angle.

2. Line up the center of the protractor with the vertex of the angle you want to

draw.

3. Line up the side of the angle with the baseline (0 degrees) of the protractor.

4. Follow the numbers, starting with 0 degrees, until you get to the number of

degrees that you want your angle to be. Mark this spot.

5. Using a ruler, connect the vertex to the mark you just made. *

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1-10 90 80 70 60 50 40 30 20 10 0

90 80 ₇₀ 60 50 40 30 2₀ 1₀ 100 110 120 130 140 150 160

17 0 180 0 0 180 100 110 120 13₀ 14₀ 15₀ 1₆ 0 1₇ 0 80 70 60 50 40 30 20

10 15

90

90 80 ₇₀ 60 50 40 30 2₀ 1₀ 100 110 120 130 140 150 160

1 70 180 0 0 180 100 110 120 13₀ 14₀ 15₀ 1₆ 0 1₇ 0 80 70 60 50 40 30 20 10 85 105 90 80 70 60 50 40 30 2₀ 1₀ 100 110 120 130 140 150 16 0 17 0

180 0 0

180 100 110 120 13₀ 14₀ 15₀ 1₆ 0 1₇ 0 80 70 60 50 40 30 20 10 80 160 90 80 70 60 50 40 30 2₀ 1₀ 100 110 120 130 140 150 16 0 1 70

180 0 0

180 100 110 120 13₀ 14₀ 15₀ 1₆ 0 1₇ 0 80 70 60 50 40 30 20 10 60 65

90 80 ₇₀ 60 50 40 30 2₀ 1 0 100 110 120 130 140 150 160

17 0 180 0 0 180 100 110 120 13₀ 14₀ 15₀ 1₆ 0 1₇ 0 80 70 60 50 40 30 20 10 105 ₆₅

90 80 ₇₀ 60 50 40 30 2₀ 1 0 100 110 120 130 140 150 160

1 70 180 0 0 180 100 110 120 13₀ 14₀ 15₀ 1₆ 0 1₇ 0 80 70 60 50 40 30 20 10 125 140

90 80 ₇₀ 60 50 40 30 2₀ 1₀ 100 110 120 130 140 150 160

17 0 180 0 0 180 100 110 120 13₀ 14₀ 15₀ 1₆ 0 1₇ 0 80 70 60 50 40 30 20 10 85 115

90 80 ₇₀ 60 50 40 30 2₀ 1₀ 100 110 120 130 140 150 160

1 70 180 0 0 180 100 110 120 13₀ 14₀ 15₀ 1₆ 0 1₇ 0 80 70 60 50 40 30 20 10 85 115

90 80 ₇₀ 60 50 40 30 2₀ 1₀ 100 110 120 130 140 150 16 0 17 0 180 0 0 180 100 110 120 13₀ 14₀ 15₀ 1₆ 0 1₇ 0 80 70 60 50 40 30 20 10 35 15

90 80 ₇₀ 60 50 40 30 2₀ 1₀ 100 110 120 130 140 150 16 0 1 70 180 0 0 180 100 110 120 13₀ 14₀ 15₀ 1₆ 0 1₇ 0 80 70 60 50 40 30 20 10 85 95 1) 2) 3) 4) 5) 6) 7) 8) 9) 10) 1.

75°

2.

20°

3.

80°

4.

5°

5.

40°

6.

15°

7.

30°

8.

30°

9.

20°

10.

10°

Use the protractor to determine each angle.

Determining Angles with Protractors

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1-6 83 67 50 33 17 0

1) 2)

3) 4)

5) 6)

1.

120°

2.

75°

3.

85°

4.

155°

5.

60°

6.

160°

Use a protractor to find the angle shown.

Finding Angles

Math

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1-6 83 67 50 33 17 0

1) 35° 2) 10°

3) 145° 4) 125°

5) 75° 6) 60°

Use a protractor to complete the angle shown.

Creating Angles

Math

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Books

Never Written

Beginning Your Exercise Program by

57' 99' 119' 137' 173' 85' 99' 33' Checking Your Homework by

33 O

How to Lead the Band by

38' 62' 33' 90' 28' 62' 41' 173' 119' 125'

ABOVE ARE THE TITLES OF THREE "BOOKS NEVER WRITTEN." TO DECODE THE NAMES OF THEIR AUTHORS:

Measure each angle below and find your answer in the code. Each time the answer appears in the code, write the vertex letter of that angle above it.

TOPIC 3-d: Measuring Angles With a Protractor

MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK D

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What Happens When Cupid Shoots

an

Arrow?

"

I

Use a protractor to construct the angles below. Each side you draw will pass through a number. Write the vertex letter of the angle in the box containing this number.

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MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK D

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1-10 90 80 70 60 50 40 30 20 10 0

1) 2+2+1+2+1 = 1+1+1+2+1+1+1

If you added 8 circles to the left side, how many squares would you have to add to the right side to keep it balanced?

2) 2+2+1+1 = 2+2+2

If you added 2 squares to the left side, how many circles would you have to add to the right side to keep it balanced?

3) 1+1+1+1+1+1+2 = 2+2+2+2

4) 2+2+1+1 = 1+1+2+1+1

5) 1+2+1+1+1+1+1 = 2+1+1+1+2+1

If you added 10 circles to the right side, how many squares would you have to add to the left side to keep it balanced?

6) 2+1+1+1 = 2+1+2

If you added 4 squares to the left side, how many circles would you have to add to the right side to keep it balanced?

7) 2+2+1 = 1+1+2+1

8) 2+1+2+1+2 = 2+2+2+2

If you added 2 squares to the right side, how many circles would you have to add to the left side to keep it balanced?

9) 1+1+1+1+2+1 = 2+2+1+2

If you added 6 circles to the right side, how many squares would you have to add to the left side to keep it balanced?

9.

3

10.

10

The scales below are balanced. Use the scales to answer each question.

Keeping Scales Balanced

Math

Name:

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