3. Area and perimeter.notebook November 13, All rectangles with area 12cm 2 have the same perimeter. True or false?

Transcription

1 All rectangles with area 12cm 2 have the same perimeter. True or false?

2 Find the perimeter of the shape: Draw another shape with area a smaller perimeter. but with

3 x y Write an expression for the perimeter of the rectangle. y a) write an expression for the perimeter of the rectangle b) What is the perimeter if y = 3cm y+6 For each shape below a) write an expression for the perimeter b) What is the perimeter if y = 3cm ycm 5cm 4cm 6cm y cm y cm y cm y cm y+2cm y cm y cm y cm y cm y cm

4 In pairs: Exam questions on area. 1. Place the questions in order of difficulty 2. We will discuss the grades 3. Share them out and see how many you can do.

5 Area Sketch 5 rectangles with area 24cm 2 Can you draw a square with area 24cm 2?

6 Work out the area and perimeter of you exercise book.

7 True or false? The number for the area of a square is never equal to the number for the perimeter of a square.

8 Area of triangles height base

9 Area of triangles 6cm 1. 4cm 2cm 2. 10cm 3. 5cm 8cm 2m m 5m 6m Can you sketch a triangle with area of 20cm 2? Ask a friend to check it.

10 Maths detective sheet In pairs

11 Find the lengths of missing sides in these shapes. 1. 5cm A= 15cm 2 2cm A= 20cm A= 35cm 2 A= 20cm 2 5cm 5cm A= 100cm 2 A= 40cm 2 8cm A= 196cm 2 7.

12 Area of Parallelograms On squared paper cut out a rectangle. Find its area. Write the area inside the shape. Stick it in your book. Draw a diagonal line from one corner to the opposite side. Cut along the line and stick the extra bit on the other end to make a parallelogram.

13 Area of Parallelograms 10cm 12cm 10cm 4cm 5cm To find the area of the parallelogram you multiply together the two side lengths. True or false? Page 215 C4 Harder: p212 B2 B3

14 Either: Page 6 OR (for the brave) stick with me and try area of circles.

15 Area of a circle 5cm 4cm 15cm page 434 C3 onwards

16 Find the area of each shape 2cm 10cm 12cm 12cm 3cm 15cm 3cm 6cm 2cm order cards 10cm

17 How would you find the area of?s skin?

18 Homework 1.Draw 5 rectangles with area 40cm 2 (not to scale) 2. Draw 5 shapes with perimeter of 40cm (not to scale)

19 Find the area of these shapes:

20 Draw 5 rectangles with perimeter of 20cm. Can you find the shortcut?

21 Which of these has bigger area? Put them in order starting with the smallest. My poster Your hand The classroom door Your exercise book A football field A bicycle wheel

22 area of rectangles Find the area of these shapes. Area of a rectangle = length x width

23 Give these shapes dimensions so that they have a perimeter of 24cm.

24 Sketch 5 rectangles with area 30cm 2 Can you draw a square with area 30cm 2? Page

25 Perimeter 10cm 2cm 5cm An equilateral triangle with sides 7cm Draw a rectangle, square and triangle where each one has a perimeter of 36cm.

26 Area of Triangles area of triangle = area of a rectangle Cut a piece of paper in half. Take one half and fold it carefully in half. Draw and then cut out a rectangle. Stick one rectangle in your book. Write down its area. Cut the other rectangle in half along a diagonal. Stick the 2 triangles in your book and write down the area of one triangle. Using the other half of your page do the same thing again, but use a different size rectangle.

27 Draw 3 parallelograms with area 24cm 2

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29 Drawing 3D shapes Hint: make sure your paper is the right way up! Draw as many 3D models as you can with 4 cubes. page 297, 298

30 Make a cuboid with 6 cubes. Draw it. Now make a different one and draw it. Volume = 6cm 3 Make a cuboid with 8 cubes. Draw it. Now make a different one and draw it. Volume = 8cm 3 Make cuboids with volume 12cm 3 and draw them. (There are loads of different ones)

31 Volume How many cubes all together? Page

32 Volume Find the volume of each shape: Colour Volume pink white d green l green red orange yellow black brown mixed or & gr bl & gr blue

33 Volume= Volume=

34 Finding the volume of cuboids Volume of a cuboid = length x widthx height 4cm 5cm 3cm 2cm 10cm 2cm Volume = Volume = 3cm 5cm 6cm 2cm 12cm 2cm Volume = Volume =

35 A cuboid has volume 60cm 3. What dimensions might it have?

36 Finding the volume of boxes We are going to find the volume of some boxes by measuring and applying the formula. Copy the table into your book: box length x width x height volume

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38 Draw the net of a cuboid. Design a cuboid with volume 60cm 3. Don't forget the tabs!

39 Use units of measurement to estimate, calculate and solve problems in everyday contexts involving length, area, volume, capacity, mass, time and angle; know rough metric equivalents o imperial measures in daily use (feet, miles, pounds, pints, gallons Deduce and use formulae for the area of a triangle, parallelogram and trapezium; calculate areas of compound shap made from rectangles and triangles. Know and use the formula for the volume of a cuboid; calcula volumes and surface areas of cuboids and shapes made from cuboids. Investigate in a range of contexts: measures.

40 Area of compound shapes Make up a shape from rectangles with area 20cm 2. Ask a friend to check it. In your book draw a shape made up of rectangles with area 20cm 2.

41 4cm 10cm 15cm 7cm Area of Compound Shapes 11cm 20cm 1cm 4cm 12cm Find the area of the pink section 3cm 12cm 3cm p

42 Attachments metric and imp units.ppt area_compound_shapes.odt