Math ActivitiesGrade 4, Week 9

Angles and Parallel/Perpendicular Lines

Day Topic Pages

Day 1 Adding and Subtracting Angles Part 1 2-3

Day 2 Adding and Subtracting Angles Part 2 4-5

Day 3 Parallel and Perpendicular Lines (Identifying) 6-7

Day 4 Parallel and Perpendicular Lines (Drawing) 8-9

Day 5 Parallel and Perpendicular Lines (with Shapes) 10-11

Day 1Identify the missing angle.

X = °X°

10°

30°

X = °

X = ° X = °

X = ° X = °

X = ° X = °

65°

25°X°

90°

20°X°

60° 60°X°

X° 50°120°

67°

90°

X°

30°120°

X° 125°X°

35°

Grade 4 Math, Week 9, Page 2

Solve each problem. Show your work.

Day 1 (continued)

1. Benito is learning to square dance in gym class. For 1 of the dances, he must turn 60° and then turn an additional 180°. How many degrees total does Benito turn?

Benito turns ° total.

2. When Hector drives to school, he makes 2 turns. First, he turns right at a 90° angle. Then, he turns right again at a 45° angle. What is sum of the angles that Hector makes on his drive to school?

Hector turns ° on his drive to school.

3. Myra is playing with her train set. She builds a path for her trains to drive, with 1 fork in the road. Can you find the missing angle in the fork that Myra built?

The missing angle is °.

150°X°

Grade 4 Math, Week 9, Page 3

Day 2Identify the missing angle.

X = ° X = °

X = ° X = °

X = ° X = °

X = ° X = °

35° 35°

X°

40°40°

30°X°

80°

20°X°

130°

35° 30° 30°

X°

30°

40° X°

180°

70°50°25° 40°

X°

25°45°

22°42°

X°22°38° 50° X°

110°

20°30°

Grade 4 Math, Week 9, Page 4

Solve each problem. Show your work.

Day 2 (continued)

1. Given the following angles, come up with 5 different ways to make 90°. Write each of the 5 combinations below. You may use each angle more than once.

Equation 1: _______________________________________________

Equation 2: _______________________________________________

Equation 3: _______________________________________________

Equation 4: _______________________________________________

Equation 5: _______________________________________________

2. Given the following angles, come up with 5 different ways to make 150°. Write each of the 5 combinations below. You may use each angle more than once.

Equation 1: _______________________________________________

Equation 2: _______________________________________________

Equation 3: _______________________________________________

Equation 4: _______________________________________________

Equation 5: _______________________________________________

10° 20° 30° 45° 60° 70°

10° 30° 45° 50° 60° 90° 120°

Grade 4 Math, Week 9, Page 5

Day 3Label each set of lines as parallel, perpendicular, or neither.

_______________ _______________ _______________

_______________ _______________ _______________

_______________ _______________ _______________

_______________ _______________ _______________

_______________ _______________ _______________

Grade 4 Math, Week 9, Page 6

parallel neither perpendicular

perpendicular parallel

perpendicular parallel

perpendicular paralell perpendicular

neither parallel neither

neither

perpendicular

Identify if each set of lines is parallel or perpendicular.

Day 3 (continued)

1 2 3 4 5 6

54321

0

6

1 2 3 4 5 6

54321

0

6

a

bc d

abc

d

Lines a and b are __________________.

Lines b and d are __________________.

Lines c and a are __________________.

Lines c and d are __________________.

Lines a and b are __________________.

Lines b and d are __________________.

Lines c and a are __________________.

Lines c and d are __________________.

Lines a and b are __________________.

Lines b and d are __________________.

Lines c and a are __________________.

Lines c and d are __________________.

Lines a and b are __________________.

Lines b and d are __________________.

Lines c and a are __________________.

Lines c and d are __________________.

1 2 3 4 5 6

54321

0

6

a b

c d

1 2 3 4 5 6

54321

0

6

a b c

d

Grade 4 Math, Week 9, Page 7

parallel

perpendicular

perpendicular

parallel

parallel

perpendicular

parallel

perpendicular

parallel

perpendicular

perpendicular

parallel

parallel

perpendicular

parallel

perpendicular

Day 4Shown below is a map of Springfield. Add the following

roads to the map and label each road on the map.

1. Add First St., which is parallel to Green Bay St.

2. Add Edgewood Dr., which is perpendicular to Clavey Ave.

3. Add Ravinia Ave., which is perpendicular to Hastings St.

4. Add Botanic Rd., which is parallel to Central Ave.

Hastings St.

Clavey Ave.

Green Bay St.

Central Ave.

Grade 4 Math, Week 9, Page 8

Look in the room around you. Find 2 examples of parallel lines and perpendicular lines. For example, you may notice

parallel lines on your television set. Then, draw each example in the space provided below.

Day 4 (continued)

Parallel Lines

Perpendicular Lines

Grade 4 Math, Week 9, Page 9

Day 5Identify if the shapes below contain parallel lines, perpendicular lines, both, or neither. Draw a line

from each shape to the correct classification.

perpendicularparallel both neither

Grade 4 Math, Week 9, Page 10

Draw each shape based on the prompt below. Reference the prior page for help, if needed.

Day 5 (continued)

Draw a shape with parallel lines but no perpendicular lines.

Draw a shape with perpendicular lines but no parallel lines.

Draw a shape with neither perpendicular nor parallel lines.

Draw a shape with both parallel and perpendicular lines.

Draw a shape with 3 sets of parallel lines.

Draw a shape with 2 sets of perpendicular lines.

Grade 4 Math, Week 9, Page 11