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Primary Mathematics: Building the Concept of AREA in Grades 4 through 7.

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Presentation on theme: "Primary Mathematics: Building the Concept of AREA in Grades 4 through 7."— Presentation transcript:

1 Primary Mathematics: Building the Concept of AREA in Grades 4 through 7.

2 Before we can talk about AREA we need to build the concept of Square Unit

3 The total weight of Peter, David, and Henry is 123 kg. Peter is 15 kg heavier than David. David is 3 kg lighter than Henry. Find Henry’s weight. Peter David Henry 15kg 3kg 123 kg

4 Peter David Henry 15kg 3kg UNIT As we work with the BAR MODEL in grades 3 and 4 we want to emphasize the concept of UNIT.

5 1 Unit One SQUARE Unit PM 4A

6 Find the AREA of the RECTANGLE. A square centimeter is a unit of area. I count the square units covered by each rectangle to find its area PM 4A

7 Find the AREA of the RECTANGLE. I multiply the length and width of each rectangle to find its area Length Width = 4 cm = 3 cm The AREA of the RECTANGLE is 12 square centimeters. PM 4A

8 4 cm 2 cm Area = 4 x 2 Area = 2 x 4 The AREA of the RECTANGLE is 8 square centimeters. PM 4A

9 l We can use the symbols A, l, and w to represent area, length, and width. w = 6cm = 4cm A= l x w A= 6 x 4 square cm The area of the rectangle is 24 square cm PM 4A

10 1 inch One SQUARE inch PM 4A

11 1 meter 1 mile 1 foot 1 yard 1 foot1 meter Other units of area include: Square meter ( ) Square foot ( ) Square yard ( ) Square mile ( ) PM 4A

12 l = 4 feet w = 1 foot A = ? l = 3 yards w = 5 yards A = ? l = 42 cm w = 34 cm A = ? PM 4A

13 The area of a rectangle is 24 square inches. If the length of the rectangle is 6 inches, find its width. 6 inches ? The width of the rectangle is 4 inches. PM 4A

14 The figure is made up of two rectangles. Find the area of the figure. 30 feet 20 feet 8 feet 12 feet Area = 30 x 8 Area = 240 square feet Area = 20 x 12 Area = 240 square feet Area = Area= 480 square feet PM 4A

15 The figure is made up of two rectangles. Find the area of the figure. 30 feet 20 feet 8 feet 10 feet Area = 20 x 20 Area = 400 square feet Area = 10 x 8 Area = 80 square feet The area of the figure is 480 square feet. Area = PM 4A

16 PM 5A Find the area of the figure.

17 PM 5A What is the area of the triangle? 8 cm 2 cm The area of the triangle is 8 square cm

18 8 cm 2 cm What is the area of the triangle? The area of the triangle is 8 square cm

19 Area of the rectangle = 20 square units Area of one triangle = 7.5 square units Area of the second triangle = 2.5 square units Area of the original triangle = 10 square units

20 PM 5A Find the area of the figure. Area = ( ) square units Area = 40 square units

21

22 Find the area of the grey region. Area of the rectangleMinusArea of the circle

23 Find the area of the grey region.


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