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Week 11 · Area and perimeter

Tuesday

Multiply to find area
// Cover it with squares, walk around the edge
⏱ about 15 min

Tuesday: Multiply to find area

Hazel wants a bigger quilt, 6 rows of 8 patches.

"Counting every patch will take so long," she sighs.

Bennie taps the edge of the quilt.

"Each row has 8 patches, and there are 6 rows," he says.

"That is 6 groups of 8. We can multiply!"

Hazel takes the pencil from behind her ear. "6 × 8 = 48," she writes.

Learn it: rows times squares in a row

A rectangle of unit squares is an array.

Rows times squares in each row gives the area.

This is the same as length times width.

A rectangle of unit squares, six rows of eight

Hazel's quilt has 6 rows of 8 squares.

6 × 8 = 48, so the area is 48 square units.

Counting one by one also gives 48. Multiplying is just quicker to write.

A rectangle 7 cm long and 5 cm wide

This rectangle is 7 cm long and 5 cm wide. 7 × 5 = 35 square centimeters.

MULTIPLY TO FIND AREA
  • Read the question.
  • Tap your answer.
A rectangle 7 cm long and 5 cm wideWhat is the area in square centimeters?
A rectangle 9 in long and 4 in wideWhat is the area in square inches?
A rectangle 8 m long and 6 m wideWhat is the area in square meters?
A rectangle 10 ft long and 3 ft wideWhat is the area in square feet?
A rectangle 6 cm long and 6 cm wideWhat is the area in square centimeters?
AREA STORIES
  • Read the question.
  • Tap your answer.
A garden bed is 4 meters by 9 meters. What is its area in square meters?
A square window is 7 feet on each side. What is its area in square feet?
Hazel's notebook cover is 8 inches by 3 inches. What is its area in square inches?
A patio is 5 meters by 9 meters. What is its area in square meters?

Find the missing side

If you know the area and one side, think of a times fact.

Say the area is 24 and one side is 6.

6 × 4 = 24, so the other side is 4.

WHAT IS THE MISSING SIDE?
  • Read the question.
  • Tap your answer.
6 × ? = 24
8 × ? = 32
5 × ? = 45
9 × ? = 63
SentenceTrue or false?
6 × 8 = 48?
The area of a 7 by 5 rectangle is 12 square units.?
Multiplying gives the same area as counting every square.?
9 × 4 = 36?
WHY THIS EXERCISEA 7 by 5 rectangle has area 7 × 5 = 35, not 12.
Try it
Find a tiled floor or a muffin pan at home.
Count the rows. Count how many are in one row.
Multiply to find how many in all.
Count them one by one to check.
Draw a 4 by 6 rectangle of squares and write its area.

Great multiplying! Tomorrow we break big rectangles into smaller ones.

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