# Congruence, similarity and enlargement

### Term 1 starting in week 1 :: Estimated time: 3 weeks

• Enlarge a shape by a positive integer scale factor (review)
• Enlarge a shape by a fractional scale factor (review)
• Identify similar shapes
• Work out missing sides and angles in a pair given similar shapes (review)
• Use parallel line rules to work out missing angles
• Establish a pair of triangles are similar
• Understand the difference between congruence and similarity
• Understand and use conditions for congruent triangles

For higher-attaining pupils:

• Enlarge a shape by a negative scale factor
• Explore areas of similar shapes
• Explore volumes of similar shapes
• Solve mixed problems involving similar shapes
• Prove a pair of triangles are congruent

This page should remember your ticks from one visit to the next for a period of time. It does this by using Local Storage so the information is saved only on the computer you are working on right now.

## Lesson Starters

Here are some suggestions for whole-class, projectable resources which can be used at the beginnings of each lesson in this block.

### 1st Lesson

#### BTS

You have four minutes to write down as many equations as you can involving B, T and S.

### 2nd Lesson

#### Middle of Centres

The blue point is exactly in the middle of two red points. What are their coordinates?

### 3rd Lesson

#### Big Bieber

If the dimensions of an object double, its volume increases by a factor of eight.

### 4th Lesson

#### Star Wars Day

Estimate the size of an alien given the size of their hand. This could be an introduction to scale factors.

### 5th Lesson

#### Missing Square Puzzle

The missing square puzzle is an optical illusion used to help students reason about geometrical figures.

### 6th Lesson

#### Refreshing Revision

It is called Refreshing Revision because every time you refresh the page you get different revision questions.

### 7th Lesson

#### Justundera Quid

Find a word whose letters would cost exactly ninety nine pence.

### 8th Lesson

#### Ms Tayke

How many times can you take one number from another?

### 9th Lesson

#### Perfect Numbers

Six is a perfect number as it is the sum of its factors. Can you find any other perfect numbers?

Some of the Starters above are to reinforce concepts learnt, others are to introduce new ideas while others are on unrelated topics designed for retrieval practice or and opportunity to develop problem-solving skills.

White Rose Resources
 End of block assessments provide a quick progress check at the end of each block of learning to make sure students have understood the content covered. This Scheme of Learning was produced by White Rose Maths and is used here with permission granted on 30th June 2021.

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