Math – Third Grade Monday, May 11 – Friday, May 15 Solving Problems with Perimeter and Area

PURPOSE Learning Standards: • I can draw rectangles with specific perimeter measurements, and reason

about the different areas that may be produced. (3.MD. D8) * • I can solve a variety of word problems involving area and perimeter using all

four operations. (3.MD. D8) * *New learning

WATCH The following videos may be viewed during any time of the week before or after Practice, Discuss, or Product to support and/or extend learning.

Discovery Education (Use student log in information to access through Moodle. Please reach out to your school/teacher for support and guidance if needed) Area and Perimeter Real Life Application Learn Zillion Using area to solve real life problems Find the area of polygons with more than 4 sides YouTube Area Review Area vs Perimeter

PRACTICE (Monday) Practice the problems: Area versus Perimeter and Area and Perimeter Word Problems If additional support is needed, use the watch video or use a hint link.

(Tuesday) Use the given perimeters to draw and design your own robot with rectangular body parts. Complete Lesson 24 Problem Set (Page 1) (Wednesday) Complete the chart on Lesson 24 Problem Set (Page 2) to design an environment for the robot created on Tuesday (Wednesday) Solve using RDW (Read, Draw, Write): Jennifer measures her rectangular sandbox and finds the width is 8 feet and the length is 6 feet.

a. Estimate to draw Jennifer’s sandbox, and label the side lengths. b. What is the perimeter of Jennifer’s sandbox? The perimeter of Jennifer’s sandbox is 28 feet. c. What is the area of Jennifer’s sandbox? The area of Jennifer’s sandbox is 48 square feet. d. Draw a model of a sandbox that is 2 times as long and 2 times as wide. What is the perimeter

of the new sandbox? The perimeter of the larger, new sandbox is 16 ft. + 16 ft. + 12 ft. + 12 ft. = 56 ft.

Optional Zearn Lessons- Mission 7, Lessons 23-29 (Use student log in information to access through Moodle. Please reach out to your school/teacher for support and guidance if needed)

DISCUSS (THURSDAY) Answer the following discussion questions with a partner or parent:

With a partner, compete to draw as many rectangles as you can with a perimeter of 16 units. Who was able to draw the most rectangles? Calculate the area of each of your rectangles. Who created the rectangle with the greatest area? Give a real-life example describing when it would be helpful to know the perimeter of a polygon. Give a real-life example describing when it would be helpful to know the area of a polygon. Solve the problem below and discuss different strategies that could be used to solve with your partner/parent: • Elijah draws a square that has side lengths of 8 centimeters. Use a ruler to measure and draw

Elijah’s square, and label the side lengths. Use printable inch ruler if needed. • What is the perimeter of Elijah’s square? (The perimeter of the square is 4 sides x 8 cm. = 32 cm.

You could also add each side instead of multiplying.) • What is the area of Elijah’s square? (The area of the square is 8 cm. x 8 cm. = 64 square

centimeters. You could have drawn an array model). • If Elijah put three of these squares together to make one long rectangle, what would the perimeter

be? Draw two more identical squares to your original model of Elijah’s square. Cut all three squares out and put them together to form a rectangle. If Elijah put three of these squares together to make one long rectangle, what would the perimeter be? (The perimeter of the rectangle is 8 cm. + 8 cm. + 24 cm. + 24 cm. = 16 cm. + 48 cm. = 64 cm.)

PRODUCT (FRIDAY)

Use the RDW process to solve Lesson 29 Problem Set Complete Area Stays The Same Task Additional Math Practice: Screen Free Activities Daily Math Daily Math Key

A STORY OF UNITS Lesson 24 Problem Set 3

Name Date

Use the given perimeters in the chart below to choose the widths and lengths of your robot’s rectangular body parts.

Write the widths and lengths in the chart below. Use the blank rows if you want to add extra rectangular body parts to

your robot.

Letter Body Part Perimeter Width and Length

A arm 14 cm __________ cm by __________cm

B arm 14 cm __________ cm by __________cm

C leg 18 cm __________ cm by __________cm

D leg 18 cm __________ cm by __________cm

E body Double the perimeter of one arm =

_______ cm __________ cm by __________cm

F head 16 cm __________ cm by __________cm

G neck Half the perimeter of the head =

_______ cm __________ cm by __________cm

H __________ cm by __________cm

I __________ cm by __________cm

My robot has 7 to 9 rectangular body parts. Number of body parts: _______

Lesson 24: Use rectangles to draw a robot with specified perimeter measurements, and reason about the different areas that may be produced.

© 2015 Great Minds. e ureka - math.org

99

A STORY OF UNITS Lesson 24 Problem Set 3 7

Use the information in the chart below to plan an environment for your robot. Write the width and length for each rectangular item. Use the blank rows if you want to add extra circular or rectangular items to your robot’s environment.

Letter Item Shape Perimeter Width and Length

J sun circle about 25 cm

K house rectangle 82 cm __________ cm by __________cm

L tree top circle about 30 cm

M tree trunk rectangle 30 cm __________ cm by __________cm

N tree top circle about 20 cm

O tree trunk rectangle 20 cm __________ cm by __________cm

P

Q

My robot’s environment has 6 to 8 items. Number of items: _______

Lesson 24: Use rectangles to draw a robot with specified perimeter measurements, and reason about the different areas that may be produced.

© 2015 Great Minds. e ureka - math.org

100

Name Date

1. Kyle puts two rectangles together to make the L-shaped figure below. He measures some of the side lengths and records them as shown.

a. Find the perimeter of Kyle’s shape.

b. Find the area of Kyle’s shape.

c. Kyle makes two copies of the L-shaped figure to create the rectangle shown below. Find the perimeter of the rectangle.

Lesson 29 Problem Set 3 7 A STORY OF UNITS

12 in

16 in

6 in

8 in

12 in

16 in

Lesson 29: Solve a variety of word problems involving area and perimeter using al four operations.

© 2015 Great Minds. e ureka - math.org

121

2. Jeremiah and Hayley use a piece of rope to mark a square space for their booth at the science fair. The area of their space is 49 square feet. What is the length of the rope that Jeremiah and Hayley use if they leave a 3-foot opening so they can get in and out of the space?

3. Vivienne draws four identical rectangles as shown below to make a new, larger rectangle. The perimeter of one of the small rectangles is 18 centimeters, and the width is 6 centimeters. What is the perimeter of the new, larger rectangle?

4. A jogging path around the outside edges of a rectangular playground measures 48 yards by 52 yards. Maya runs 3 laps on the jogging path. What is the total number of yards Maya runs?

Lesson 29 Problem Set 3 7 A STORY OF UNITS

Lesson 29: Solve a variety of word problems involving area and perimeter using al four operations.

© 2015 Great Minds. e ureka - math.org

122

3.MD.8 The Area Stays the Same

Materials: color tiles, square inch graph paper

Directions:

1. Construct three different rectangles with square color tiles. Each

rectangle must have an area of 12 square inches.

2. Draw each rectangle on square inch graph paper.

3. Calculate and record the perimeter of the three rectangles.

4. Which rectangle has the greatest perimeter?

3rd Grade Math Screen Free Activities

May 11th – May 15th

Mathematics

● Use electrical, painting, or masking tape to create two rectangles outside. Use a tape measure or ruler to find the length of each side. Find the area of both rectangles. When finished, use chalk to color in the area of the shape with the largest area.

● Use a ruler or tape measure to find the length and width of your bedroom. Use these dimensions to find the area of your bedroom. Can you find a room in your house with a bigger area? Which room in your house has the greatest area? Measure each to find out.

● Use 24 square crackers (cheez-its, saltines, etc.) to make a rectangle. Record the length and width of your rectangle. Rearrange the crackers to make another rectangle using all 24 crackers. Record the length and width of your rectangle. How many rectangles with an area of 24 square crackers can you make?

● Spaghetti and Meatballs for All! Task

• Draw a figure with an area of 20 square units.

What is the perimeter of the figure you created? ___________________________________ Draw a figure with an area of 14 square units.

What is the perimeter of the figure you created? __________________________________

Spaghetti and Meatballs for All!

First, read Spaghetti and Meatballs for All by Marilyn Burns. After reading the book:

Pretend that four people live at your house (Your mom, dad, sister, and you). Aunt Sue, Uncle John and their six children (Jamal, Kevin, Carl, Annie, Stephanie, and Maxine) are coming for dinner. Uncle Kenny is coming, too. He is bringing his wife (Aunt Jenny) and four kids (Earl, Charles, Jasmine and Justine). Mom has six square folding tables she can use but you don’t have to use all of them. (Each folding table seats four, one on each side.) You can put two or more of the folding tables together to form a rectangle if you like. You have two jobs to make this family feast a success. Job #1: Your job is to work with a parent or partner to decide on a seating arrangement that is best for your family and guests. When finished, draw a picture of the table arrangement and label each place to show who will be sitting there. Mom has the following rules:

• There should be no empty seats. • There must be at least one grown-up at each table.

Write a few sentences to describe what happened to the perimeter as tables were pushed together. Then explain why the arrangement you chose is the best possible arrangement. Job #2 Next, you need to determine what size tablecloth your mom needs in order to cover the table. Each side of each square is 3 feet long. The tablecloth should be a perfect fit.

Daily Math Activities

Week of: May 11th – May 15th Monday, May 11, 2020 Problem Solving Brian’s desk had an area of 12 square feet. What could be the length and width of his desk?

Daily Practice Draw lines to match and make each statement true. 7 tens = 7 thousands 70 hundreds = 70 ones 700 ones = 70 tens

Tuesday, May 12, 2020 Problem Solving The perimeter of Jillian’s rectangular bedroom is 34 feet. The length of her bedroom is 9 feet. What is the width of her bedroom?

Daily Practice Do jumping jacks and count by tens 10 times! Do giant arm circles and skip count by fives, stop when you get to 50!

Wednesday, May 13, 2020 Problem Solving Jennifer measures her rectangular sandbox and finds the width is 8 feet and the length is 6 feet. What is the area of Jennifer’s sandbox? What is the perimeter of Jennifer’s sandbox?

Solve the following multiplication facts: 5 x 9 = 7 x 9 = 6 x 9 = 9 x 4 = 9 x 3 = 9 x 2 = 9 x 9 = 8 x 9 =

Thursday, May 14, 2020

Problem Solving Daily Practice Complete the patterns: 24, 30, 36, ___, ___, ____ 21, 28, 25, , ,_____

Elijah draws a square that has side lengths of 8 centimeters. What is the perimeter of his square? What is the area of Elijah’s square?

Friday, May 15, 2020 Problem Solving The width of a rectangular park was 18 meters. The length was twice the distance of the width. What is the perimeter of the park?

Daily Practice Complete the fractions table. Circle the fractions that are greater than one whole. What do you notice about the fractions you circled?

Unit Form Fraction Form 5 thirds

7 eighths

2 fifths

3 halves

1 half

4 twelfths

6 fourths

1 third

4 sixths

Daily Math Activities Key

Week of: May 11th – May 15th Monday, May 11, 2020 Problem Solving Brian’s desk had an area of 12 square feet. What could be the length and width of his desk? Possible lengths and widths include, 6 ft. and 2 ft., 4ft. and 3ft., or 12 ft. and 1 ft.

Daily Practice Draw lines to match and make each statement true. 7 tens = 7 thousands 70 hundreds = 70 ones 700 ones = 70 tens

Tuesday, May 12, 2020 Problem Solving The perimeter of Jillian’s rectangular bedroom is 34 feet. The length of her bedroom is 9 feet. What is the width of her bedroom? The width of Jillian’s bedroom is 8 ft.

Daily Practice Do jumping jacks and count by tens 10 times! 10, 20, 30, 40, 50, 60, 70, 80, 90, 100 Do giant arm circles and skip count by fives, stop when you get to 50! 5, 10, 15, 20, 25, 30, 35, 40, 45, 50

Wednesday, May 13, 2020 Problem Solving Jennifer measures her rectangular sandbox and finds the width is 8 feet and the length is 6 feet. What is the area of Jennifer’s sandbox? What is the perimeter of Jennifer’s sandbox? The area of Jennifer’s sandbox is 48 square feet. The perimeter of Jennifer’s sandbox is 28 feet.

Solve the following multiplication facts: 5 x 9 = 45 7 x 9 = 63 6 x 9 = 54 9 x 4 = 36 9 x 3 = 27 9 x 2 = 18 9 x 9 = 81 8 x 9 = 72

Thursday, May 14, 2020 Problem Solving Daily Practice

Complete the patterns: 24, 30, 36, 42, 48, 54. 21, 28, 35, 42, 49, 56.

Elijah draws a square that has side lengths of 8 centimeters. What is the perimeter of his square? What is the area of Elijah’s square? The perimeter of his square is 32 cm. The area of his square is 64 square cm.

Friday, May 15, 2020 Problem Solving The width of a rectangular park was 18 meters. The length was twice the distance of the width. What is the perimeter of the park? The perimeter of the park was 108 meters.

Daily Practice Complete the fractions table. Circle the fractions that are greater than one whole. What do you notice about the fractions you circled?

Unit Form Fraction Form 5 thirds 5/3

7 eighths 7/8

2 fifths 2/5

3 halves 3/2

1 half 1/2

4 twelfths 4/12

6 fourths 6/4

1 third 1/3

4 sixths 4/6

*RDW Clipart Credit: Emily Haworth