NCSC - Mathematics Lesson 1 1

Find the perimeter of the figure below.

6 units

5 units

1 2 3 4 5 6

7

8

9

10

11

121314151617

18

19

20

21

22

6u + 6u + 5u + 5u = 22u

NCSC - Mathematics Lesson 1 2

Find the area of the figure below.

6 units

5 units

6u x 5u = 30u2

5 10 15 20 25 30

NCSC - Mathematics Lesson 1 3

10 units

A

B

4.5 units

5 units

1

1

1

21

10 20 30 40 50 60 70 80

9 units

5 10 15 20

220.5

22.5

22.5

10u x 9u =

90

90u2 5u x 4.5u = 22.5 u2

Determine the area of each rectangle.

A: B:

NCSC - Mathematics Lesson 1 4

10 units

A

B

4.5 units

5 units

9 units

10u x 9u = 90u2 5u x 4.5u = 22.5 u2

1 2

3 4

Compare the area of figures A and B.

The area of figure A is four times as big as figure B.

NCSC - Mathematics Lesson 1 5

AB10

units

3 units

5 units

6 units

10 20 30

10 20 305 15 25

A = 10 units x 3 unitsA = 30 units 2

A = 5 units x 6 unitsA = 30 units 2

Verify that the area of figures A and B are the same.

NCSC - Mathematics Lesson 1 6

AB10

units

3 units

5 units

6 units

P = 10 units + 3 units + 10 units + 3 unitsP = 26 units

21 3

4

5

678

9

10

11

12

13141516

17

18

19

20

21

2223

24

25

2621 3 4 5 6

7

89

10

11

121314151617

18

19

20

2122

P = 5 units + 6 units + 5 units + 6 unitsP = 22 units

The perimeters of figures A and B are: = ≠ same different

Determine if the perimeter of figures A and B are the same.

NCSC - Mathematics Lesson 1 7

Find the figure that has the measurements 8 inches by 2 feet.

Convert the units so that inches are used for both length and width.

NCSC - Mathematics Lesson 1 8

A

2 ft

6 ftB

4 ft

4 ft

1

2

3

4

5

6

1

2

3

4

5

6

7

8

15 16

13 14

15 1613 14

11 129 107

8

9

10

11

12

Model Length Width Perimeter AreaAB

6 ft. 2 ft. 16 ft. 12 ft.2 4 ft. 4 ft. 16 ft.

2 8

4 10

6 12

Verify the perimeter is 16 ft. Then determine the area and record it in the table.

2

4

6

8

10

12

14

16

16 ft.2