Module 9 Area & Volume
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Module Grade Topic

Description

9

1

1

Begin to recognise nets of familiar 3-D shapes, e.g. cube, cuboid, triangular prism, square-based pyramid

 

 

 

Nets of 3D Shapes

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Homework

 

 

 

 

9

2

2

Measure and draw lines to the nearest millimetre; find the perimeter of simple straight-sided shapes

 

 

 

 

 

 

 

 

 

 

9

2

3

Find areas and perimeters of simple shapes (including irregular shapes) by counting squares, and volumes of simple shapes by counting cubes.

 

 

 

Perimeter

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Homework

 

 

 

 

 

 

 

Area Introduction

 

 

Video

 

 

 

9

3

4

Explore the geometry of cuboids (including cubes) and shapes made from cuboids; find the volumes of cuboids, recalling the formula; draw and interpret the net of a cuboid.  Describe common 3D shapes and know their names

 

 

 

Volume of Cuboids

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Compound Rectangles

 

 

Video

 

 

 

9

3

5

Find the area and perimeter of a rectangle.

 

 

 

Areas of Rectangles

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9

4

6

Recall the meaning of circle, chord, tangent, arc, sector, segment; find circumferences and areas enclosed by circles, recalling relevant formulae.

 

 

 

Circumference of a Circle

Lesson

Homework

Video

Video

Exam Q

Answers

 

 

 

Area of a Circle

Lesson

Homework

9

4

7

Recall and use the formula for the area of a parallelogram and a triangle; use the formula for the area of a trapezium; calculate perimeters and areas of shapes made from triangles and rectangles; find the surface area of simple shapes using the area formulae for triangles and rectangles.

 

 

 

Area of a Parallelogram

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Area of a Triangle

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Homework

Video

 

 

 

 

 

 

Area of a Trapezium

Lesson

Homework

Video

 

 

 

 

 

 

Areas of Compound Shapes

 

 

 

Video

Exam Q

Answers

9

5

8

Solve problems involving the surface area and volume of prisms, including cylinders; convert between area measures and volume measures.

 

 

 

Perimeter, Area and Volumes of shapes made from cuboids

 

 

 

Video

Exam Q

Answers

 

 

 

Nets and Surface Areas

Lesson

Homework

 

Video

Exam Q

Answers

 

 

 

Volumes of Prisms

Lesson

Homework

 

Video

Exam Q

Answers

 

 

 

Volumes of Cylinders

Lesson

Homework

 

Video

Exam Q

Answers

9

6

9

Solve problems involving the lengths of arcs, areas of sectors and the volume of pyramids, cones and spheres.

 

 

 

Arcs and Sectors

Lesson

Homework

Video 1

Video

Exam Q

Answers

 

 

 

Arcs , Sectors and Segments

Lesson

Homework

Video 2

 

 

 

9

7

10

Understand the difference between the formulae for perimeter, area and volume by considering dimensions.

 

 

 

Dimensions of Formulas

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9

7

11

Calculate the area of a triangle using ŻabsinC.  Formula not given on the Exam Paper

 

 

 

Trig Area of a Triangle

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9

8

12

Understand and use the effect of enlargement on length, area and volume of shapes and solids, including the use of negative scale factors.

 

 

 

Area Scale Factor

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Volume Scale Factor

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Homework

 

 

 

 

9

8

13

Calculate bounds in area and volume questions

 

 

 

 

 

 

 

 

 

 

9

9

14

Solve problems involving surface areas and volumes of pyramids, cylinders, cones and spheres, and problems involving more complex shapes including segments of circles and frustums of cones.

 

 

 

Volume of Cones and Spheres

Lesson

Homework

 

Video

Exam Q

Answers

 

 

 

Complex Surface Areas

Lesson

Homework