consolidation

# Shapes

## Review

This is a review test that is timed.

## Lines of Symmetry

Practice

## Translations, Reflections, and Rotations

This exercise explores the effect of slides, flips, and turns on simple shapes. Grids will be used to show the effects of movement.

Exercises

## Slides, Flips, and Turns

This exercise explores the effect of slides, flips, and turns on simple shapes.

Exercises

## Volume 3

Practice

## Volume 1

Remember:

Volume = Area x length

## Nets of 3D Shapes

The net of a 3 dimensional shape composed of all the flat faces of a 3D shape. The solid shape is represented as a 2 dimensional shape, and once folded back will form the solid shape.

This can be used to find the surface area of a 3D shape.

Practice

## Area – Parallelograms to Trapezoids

Can you arrive at the formula for an area for trapezoids?

Work with two trapezoids that are identical.

#### Worksheet

Thus, you should get the formula:

#### Practice

## Area – Rectangles to Parallelograms

The following activity will make it easy for you to calculate the area of parallelograms.

Consider the following parallelogram. It can be transformed into a rectangle with the same base, the same height, and the same area.

Thus, this shows that the formula for the area of a parallelogram is exactly the same as for a rectangle: L x B

Try it out. Download the worksheet below.

#### Worksheet

## Area and Perimeter

Review and consolidate

## Area 2 – Triangles

Review and consolidate.

## Area 1 – Triangles

Do you recall the area of a rectangle is L x B? A diagonal line that is drawn in a rectangle divides into two equal parts, triangles. So, the area of a triangle is half the area of the rectangle.

Observe:

Triangles are related to parallelograms.

The two copies produces a parallelogram. Therefore the triangle has an area that is half the area of a parallelogram.

#### Worksheet

#### Practice

## Perimeter and Circumference

Review

## Circumference

The distance around a circle is called its circumference.

To find the circumference of a circle, multiply **Ï€** to the diameter.

Example:

Calculating Circumference

## Area – Compound Shapes

** Compound shapes **are shapes that are

**. You can divide them into smaller shapes. The area is thus calculated easier when you split them apart.**

*irregular*Read each question carefully.

## Area – Square and Rectangle

Read the following questions carefully. Exercise focuses on the area of squares and rectangles. Review perimeter.

## The Circle

The circle is a simple closed shape. A circle has parts. a chord, diameter, center, radius and a circumference (the distance around the circle).

Exercise

## Perimeter 2

Problem solving exercises.

## Perimeter 1

Practice finding the perimeter of a number of polygons.

## 3-D Shapes

Here are some 3 dimensional shapes you should know.

Below is a video with these shape and some more.

Review shapes

Practice

## 2-D shapes 3

Triangles have special features. They can be classified by sides and angles.

#### Classification according to length of sides.

#### Classification according to internal angles.

The *right ** angle *is 90 degrees. The longest side of the right angle triangle is called the

**.**

*hypotenuse*An ** obtuse angle** is more than 90 degrees (but less than 180 degrees) and an

**is less than 90 degrees.**

*acute angle*#### Individual Activity:

Copy a shape on a card. Name it. Cut it into smaller shapes and specify the number of smaller shapes. Determine if the the lines are congruent.

#### Exercises

## Describing 3-D Shapes

We can describe 3-D shapes in many ways. Simply, there are some that roll and some with points. There are some with a side that looks like a triangle, a rectangle, square or circle. You will also be expected to describe 3-d shapes as have faces, corners, edges, and points or vertices. Describing a 3-d shape makes it possible for us to identify the shapes of objects in our environment.

Some example of shapes in our environment can be seen below.

#### Activity

Build shapes using tightly rolled newspaper. Roll very tightly. Create skeletal structures and special shapes by tightly taping the corners.

## 2-D Shapes 1

Review shapes.

Objects have shape and form. Simple shapes are classified according to their number of edges and points.