Find the area and perimeter of these shapes: Draw another shape with area a smaller perimeter. a larger perimeter.
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1 Find the area and perimeter of these shapes: Draw another shape with area a smaller perimeter. Draw another shape with area a larger perimeter. but with but with Page 1
2 Perimeter 10cm 2cm 5cm An equilateral triangle with sides 7cm Draw a rectangle, square and triangle where each one has a perimeter of 36cm. 2
3 Give these shapes dimensions so that they have a perimeter of 24cm. 3
4 Draw 5 rectangles with perimeter of 20cm. 4
5 4cm 6cm Find the perimeter of the shapes. 2cm 10cm 5cm 8cm 12cm 1cm Draw 3 shapes, made up of rectangles, with perimeter of 30cm. I have 10m of fencing for a guinea pig run. Draw some possible shapes I could make the run. 5
6 x y Write an expression for the perimeter of the rectangle. a) write an expression for the perimeter of the rectangle b) What is the perimeter if y = 3cm y 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 6
7 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 7
8 Find the area of these shapes: 8
9 angles Find the area of these shapes. SSM2: Area and perimeter Area of a rectangle = length x width Perimeter of a rectangle = 2l + 2w Page 250 and 251 9
10 Sketch 5 rectangles with area 24cm 2 Can you draw a square with area 24cm 2? 10
11 Sketch 5 rectangles with area 30cm 2 Can you draw a square with area 30cm 2? 11
12 Find the lengths of missing sides in these rectangles. 5cm A= 15cm 2 2cm A= 20cm 2 A= 35cm 2 A= 45cm 2 15cm A= 40cm 2 5cm A= 100cm 2 8cm A= 441cm 2 Page 252 qu 5-13 A calculator will help! 12
13 Homework 1.Page 226 qu 3. Write out the sentence. 2.Draw 5 rectangles with area 40cm 2 (not to scale) 3. Draw 5 shapes with perimeter of 40cm (not to scale) 13
14 True or false? The number for the area of a rectangle is never equal to the number for the perimeter of a rectangle. 14
15 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. 15
16 10cm 4cm 15cm 7cm Area of Compound Shapes 11cm 20cm 1cm 4cm 12cm Find the area of the pink section 3cm 12cm 3cm 16
17 area of rectangles 17
18 B 3cm A: 15 B:50 A+B=65cm 2 5cm A 7cm B A A:70 B:8x12=96 A+B=166cm 2 A B 2cm 4 A: 3x8=24 A+B=28cm 2 B: Area =A B 99 25=74cm 2 18
19 19
20 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. 20
21 Finding The Area of Triangles Area of a triangle = Worksheet 21
22 Area of triangles 6cm 4cm 2cm 10cm 5cm 8cm 2m 6m 5m 6m Can you sketch a triangle with area of 20cm 2? Ask a friend to check it. 22
23 What about triangles without right angles? height base Page
24 Area of Parallelograms On folded,squared paper make a rectangle. Find its area. Write the area inside the shape. Stick it in your book. Make the other rectangle into a parallelogram. Write the area inside the shape. Stick it in your book. 24
25 Area of Parallelograms 10cm 12cm 10cm 4cm 5cm page 254 qu
26 Find the area of each shape 10cm 12cm 12cm 15cm 2cm 3cm 6cm 4cm 2cm 6cm order cards 10cm 26
27 27
28 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,
29 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) 29
30 Volume How many cubes all together? Page
31 Homework: Draw a rectangle, square, triangle and parallelogram with 1)area 16cm 2. 2) area 36cm 2 31
32 Volume= Volume= 32
33 Volume Find the volume of each shape: Colour Volume pink white d green l green red orange yellow black blue pk & gr bl, wh & gr 33
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 = 34
35 A cuboid has volume 60cm 3. What dimensions might it have? 35
36 Draw the net of a cuboid. Design a cuboid with volume 60cm 3. Don't forget the tabs! 36
37 Draw the net of a cuboid with volume 80cm 3. Don't forget the tabs! 37
38 Surface area of cuboids The surface area of a shape is the total area of all the faces. 3cm 6cm 2cm colour working surface area 38
39 Finding the volume and surface area of boxes We are going to find the volume and surface area of some boxes by measuring. Copy the table into your book: box length x width x height volume Surface area 39
40 Homework In your planner write: Maths homework for Monday (see exercise book) In your exercise book write: Make the net of a cuboid with 1) Volume 80cm 3 (level 6b) OR 2) Dimensions 3 by 4 by 5 cm (level 6c) OR 3) Sketch 5 cuboids with different dimensions but all with volume 80cm 3 (5a) For tasks 1 and 2 STICK THE NET IN YOUR BOOK AND FIND THE SURFACE AREA OF YOUR CUBOID. 40
41 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 of 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 shapes made from rectangles and triangles. Know and use the formula for the volume of a cuboid; calculate volumes and surface areas of cuboids and shapes made from cuboids. Investigate in a range of contexts: measures. 41
42 Attachments metric and imp units.ppt area_compound_shapes.odt
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