maths term 2 week 2 - east marden€¦ · topic: identifying transformations (translations,...

58
Maths Term 2 Week 2 Lesson 1

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Page 1: Maths Term 2 Week 2 - East Marden€¦ · Topic: Identifying Transformations (translations, rotations, reflections) Learning Intention Investigate translations, rotations and reflections

Maths Term 2Week 2

Lesson 1

Page 2: Maths Term 2 Week 2 - East Marden€¦ · Topic: Identifying Transformations (translations, rotations, reflections) Learning Intention Investigate translations, rotations and reflections

Topic: Identifying Transformations (translations, rotations, reflections)

Learning Intention✘ Investigate translations, rotations and reflections

using a range of 2D shapes

Success Criteria✘ I can reflect, translate and rotate shapes✘ I can describe how shapes have been moved to

create patterns

2

Page 3: Maths Term 2 Week 2 - East Marden€¦ · Topic: Identifying Transformations (translations, rotations, reflections) Learning Intention Investigate translations, rotations and reflections
Page 4: Maths Term 2 Week 2 - East Marden€¦ · Topic: Identifying Transformations (translations, rotations, reflections) Learning Intention Investigate translations, rotations and reflections
Page 5: Maths Term 2 Week 2 - East Marden€¦ · Topic: Identifying Transformations (translations, rotations, reflections) Learning Intention Investigate translations, rotations and reflections
Page 6: Maths Term 2 Week 2 - East Marden€¦ · Topic: Identifying Transformations (translations, rotations, reflections) Learning Intention Investigate translations, rotations and reflections
Page 7: Maths Term 2 Week 2 - East Marden€¦ · Topic: Identifying Transformations (translations, rotations, reflections) Learning Intention Investigate translations, rotations and reflections

What has happened in this picture?Translate, Reflect, Slide

Page 8: Maths Term 2 Week 2 - East Marden€¦ · Topic: Identifying Transformations (translations, rotations, reflections) Learning Intention Investigate translations, rotations and reflections
Page 9: Maths Term 2 Week 2 - East Marden€¦ · Topic: Identifying Transformations (translations, rotations, reflections) Learning Intention Investigate translations, rotations and reflections

What has happened in this picture?Translate, Reflect, Slide

Page 10: Maths Term 2 Week 2 - East Marden€¦ · Topic: Identifying Transformations (translations, rotations, reflections) Learning Intention Investigate translations, rotations and reflections

What has happened in this picture?Translate, Reflect, Slide

Page 11: Maths Term 2 Week 2 - East Marden€¦ · Topic: Identifying Transformations (translations, rotations, reflections) Learning Intention Investigate translations, rotations and reflections

Your Task:Reflect, translate or rotate the following shapes. Draw your results.

Page 12: Maths Term 2 Week 2 - East Marden€¦ · Topic: Identifying Transformations (translations, rotations, reflections) Learning Intention Investigate translations, rotations and reflections

ExtensionIn your maths book draw a pattern that uses a combination of flips, slides and turns.

Challenge someone to solve the pattern.

Page 13: Maths Term 2 Week 2 - East Marden€¦ · Topic: Identifying Transformations (translations, rotations, reflections) Learning Intention Investigate translations, rotations and reflections

Reflection: Finish the sentences

13

I learnt that…

Today, I felt…

*Please put time and effort into writing thoughtful, detailed reflections – this task is just as important as the others

Page 14: Maths Term 2 Week 2 - East Marden€¦ · Topic: Identifying Transformations (translations, rotations, reflections) Learning Intention Investigate translations, rotations and reflections

Maths Term 2Week 2

Lesson 2

Page 15: Maths Term 2 Week 2 - East Marden€¦ · Topic: Identifying Transformations (translations, rotations, reflections) Learning Intention Investigate translations, rotations and reflections

Topic: Identifying Transformations (translations, rotations, reflections)

Learning Intention✘ Investigate translations, rotations and reflections

using a range of 2D shapes

Success Criteria✘ I can reflect, translate and rotate shapes✘ I can describe how shapes have been moved to

create patterns

15

Page 16: Maths Term 2 Week 2 - East Marden€¦ · Topic: Identifying Transformations (translations, rotations, reflections) Learning Intention Investigate translations, rotations and reflections

Describe the sequence of movements needed to achieve this design. Use words like translate, rotate and reflect.

Page 17: Maths Term 2 Week 2 - East Marden€¦ · Topic: Identifying Transformations (translations, rotations, reflections) Learning Intention Investigate translations, rotations and reflections

Follow the instructions to make a pattern.

Page 18: Maths Term 2 Week 2 - East Marden€¦ · Topic: Identifying Transformations (translations, rotations, reflections) Learning Intention Investigate translations, rotations and reflections

Transformations around 360°

Page 19: Maths Term 2 Week 2 - East Marden€¦ · Topic: Identifying Transformations (translations, rotations, reflections) Learning Intention Investigate translations, rotations and reflections

19

Create a logo symbol involving turns of a shape of your choice, where the shape is turned in a circle around a turning point, as in the sketch below.

Page 20: Maths Term 2 Week 2 - East Marden€¦ · Topic: Identifying Transformations (translations, rotations, reflections) Learning Intention Investigate translations, rotations and reflections

Reflection: Finish the sentences

20

I found _______________ challenging because…

I was feeling really…

*Please put time and effort into writing thoughtful, detailed reflections – this task is just as important as the others

Page 21: Maths Term 2 Week 2 - East Marden€¦ · Topic: Identifying Transformations (translations, rotations, reflections) Learning Intention Investigate translations, rotations and reflections

Maths Term 2Week 2

Lesson 3

Page 22: Maths Term 2 Week 2 - East Marden€¦ · Topic: Identifying Transformations (translations, rotations, reflections) Learning Intention Investigate translations, rotations and reflections

Topic: Identifying Transformations (translations, rotations, reflections)

Learning Intention✘ Investigate translations, rotations and reflections

using a range of 2D shapes

Success Criteria✘ I can reflect, translate and rotate shapes✘ I can describe how shapes have been moved to

create patterns

22

Page 23: Maths Term 2 Week 2 - East Marden€¦ · Topic: Identifying Transformations (translations, rotations, reflections) Learning Intention Investigate translations, rotations and reflections

Task: Identifying transformations in the alphabet.

23

Using the letters of the alphabet, you need to:- Show you can translate each letter by drawing it carefully - Carefully draw the reflection of each letter (you can use a hand held

mirror to help)

- Show you can rotate each letter by 90° turns

Page 24: Maths Term 2 Week 2 - East Marden€¦ · Topic: Identifying Transformations (translations, rotations, reflections) Learning Intention Investigate translations, rotations and reflections

24

Page 25: Maths Term 2 Week 2 - East Marden€¦ · Topic: Identifying Transformations (translations, rotations, reflections) Learning Intention Investigate translations, rotations and reflections

Reflection: Finish the sentences

25

The steps I followed were…

I noticed…

*Please put time and effort into writing thoughtful, detailed reflections – this task is just as important as the others

Page 26: Maths Term 2 Week 2 - East Marden€¦ · Topic: Identifying Transformations (translations, rotations, reflections) Learning Intention Investigate translations, rotations and reflections

Maths Term 2Week 3

Lesson 1

Page 27: Maths Term 2 Week 2 - East Marden€¦ · Topic: Identifying Transformations (translations, rotations, reflections) Learning Intention Investigate translations, rotations and reflections

Topic: Symmetry

Learning Intention✘ Investigate line symmetry of 2D shapes.

Success Criteria✘ I can identify 2D shapes that have line symmetry.

27

Page 28: Maths Term 2 Week 2 - East Marden€¦ · Topic: Identifying Transformations (translations, rotations, reflections) Learning Intention Investigate translations, rotations and reflections

SymmetrySymmetry is when you dissect an object and one part of the

object is identical to the other if you flip, slide or turn it… Symmetry in 2D shapes…

Page 29: Maths Term 2 Week 2 - East Marden€¦ · Topic: Identifying Transformations (translations, rotations, reflections) Learning Intention Investigate translations, rotations and reflections

Symmetry is all around us…Symmetry is not just in shapes and figures but also in our natural environment…

Page 30: Maths Term 2 Week 2 - East Marden€¦ · Topic: Identifying Transformations (translations, rotations, reflections) Learning Intention Investigate translations, rotations and reflections

Types of Symmetry[syn- together + metron measure]

The simplest symmetry is Reflection Symmetry (sometimes called Line Symmetry or Mirror Symmetry). It is easy to see, because one half is the reflection of the other half.

Line symmetry

Page 31: Maths Term 2 Week 2 - East Marden€¦ · Topic: Identifying Transformations (translations, rotations, reflections) Learning Intention Investigate translations, rotations and reflections

Reflection symmetry• The reflection in this lake also has symmetry, but in

this case:• the Line of Symmetry runs left-to-right• it is not perfect symmetry, because the image is

changed a little by the lake surface.

• http://www.topmarks.co.uk/Flash.aspx?f=Symmetry

Page 32: Maths Term 2 Week 2 - East Marden€¦ · Topic: Identifying Transformations (translations, rotations, reflections) Learning Intention Investigate translations, rotations and reflections

Topic: SymmetryTask: Creating line symmetry

Using a 3x3 square like the examples above, colour in certain squares to make as many examples of line symmetry as you can. An example has been provided for you.Can you identify how many different lines of symmetry are in each 3x3 square?What combinations would result in no line symmetry? Try it out!

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Page 33: Maths Term 2 Week 2 - East Marden€¦ · Topic: Identifying Transformations (translations, rotations, reflections) Learning Intention Investigate translations, rotations and reflections

Reflection: Answer the Question

33

Where have you seen examples of line symmetry in every day life? Create a list.

*Please put time and effort into writing thoughtful, detailed reflections – this task is just as important as the others

Page 34: Maths Term 2 Week 2 - East Marden€¦ · Topic: Identifying Transformations (translations, rotations, reflections) Learning Intention Investigate translations, rotations and reflections

Maths Term 2Week 3

Lesson 2

Page 35: Maths Term 2 Week 2 - East Marden€¦ · Topic: Identifying Transformations (translations, rotations, reflections) Learning Intention Investigate translations, rotations and reflections

Topic: Symmetry

Learning Intention✘ Investigate rotational symmetry of 2D shapes.

Success Criteria✘ I can identify 2D shapes that have rotational

symmetry.

35

Page 36: Maths Term 2 Week 2 - East Marden€¦ · Topic: Identifying Transformations (translations, rotations, reflections) Learning Intention Investigate translations, rotations and reflections

Topic: Symmetry

Getting Started

Watch this YouTube video explaining rotational symmetry:https://www.youtube.com/watch?v=s4tS-ZmpJfw&list=RDCMUCiTjCIT_9EXV1Wp1cY0zaUA&index=1

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Page 37: Maths Term 2 Week 2 - East Marden€¦ · Topic: Identifying Transformations (translations, rotations, reflections) Learning Intention Investigate translations, rotations and reflections

Topic: Symmetry

Rotational Symmetry:

37

Page 38: Maths Term 2 Week 2 - East Marden€¦ · Topic: Identifying Transformations (translations, rotations, reflections) Learning Intention Investigate translations, rotations and reflections

38Task 1: What is the rotational symmetry of these shapes?You may need to draw the shapes and rotate them on a pin to discover the answers.

Page 39: Maths Term 2 Week 2 - East Marden€¦ · Topic: Identifying Transformations (translations, rotations, reflections) Learning Intention Investigate translations, rotations and reflections

39

Which capital letters have rotational symmetry?

Page 40: Maths Term 2 Week 2 - East Marden€¦ · Topic: Identifying Transformations (translations, rotations, reflections) Learning Intention Investigate translations, rotations and reflections

Reflection: Finish the sentence

40

I learnt that…

*Please put time and effort into writing thoughtful, detailed reflections – this task is just as important as the others

Page 41: Maths Term 2 Week 2 - East Marden€¦ · Topic: Identifying Transformations (translations, rotations, reflections) Learning Intention Investigate translations, rotations and reflections

Maths Term 2Week 3

Lesson 3

Page 42: Maths Term 2 Week 2 - East Marden€¦ · Topic: Identifying Transformations (translations, rotations, reflections) Learning Intention Investigate translations, rotations and reflections

Topic: Symmetry

Task: Rotational Symmetry Art WorkFollow the steps in the next few slides to create a rotational symmetry art piece.

You will need:- 1 piece of A4 paper- Scissors- Colour pencils and/or textas

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Page 43: Maths Term 2 Week 2 - East Marden€¦ · Topic: Identifying Transformations (translations, rotations, reflections) Learning Intention Investigate translations, rotations and reflections

Draw a circle and cut it out.

Page 44: Maths Term 2 Week 2 - East Marden€¦ · Topic: Identifying Transformations (translations, rotations, reflections) Learning Intention Investigate translations, rotations and reflections

Fold it in half and half again to create 8 segments.

Page 45: Maths Term 2 Week 2 - East Marden€¦ · Topic: Identifying Transformations (translations, rotations, reflections) Learning Intention Investigate translations, rotations and reflections

Use it as a guide to mark the 8 segments on an identical circle

Page 46: Maths Term 2 Week 2 - East Marden€¦ · Topic: Identifying Transformations (translations, rotations, reflections) Learning Intention Investigate translations, rotations and reflections

Use a ruler to draw the eight segments.

Page 47: Maths Term 2 Week 2 - East Marden€¦ · Topic: Identifying Transformations (translations, rotations, reflections) Learning Intention Investigate translations, rotations and reflections

Take a segmentcut from one of the original folded circles.

Page 48: Maths Term 2 Week 2 - East Marden€¦ · Topic: Identifying Transformations (translations, rotations, reflections) Learning Intention Investigate translations, rotations and reflections

Draw a pattern on the segment...anything goes!

Page 49: Maths Term 2 Week 2 - East Marden€¦ · Topic: Identifying Transformations (translations, rotations, reflections) Learning Intention Investigate translations, rotations and reflections

Scribble pencil on the back of the segment.

Page 50: Maths Term 2 Week 2 - East Marden€¦ · Topic: Identifying Transformations (translations, rotations, reflections) Learning Intention Investigate translations, rotations and reflections

Lay the pattern in one segment ... exactly.Draw over the pattern... It will print!

Page 51: Maths Term 2 Week 2 - East Marden€¦ · Topic: Identifying Transformations (translations, rotations, reflections) Learning Intention Investigate translations, rotations and reflections

Repeat this on each segment.

Page 52: Maths Term 2 Week 2 - East Marden€¦ · Topic: Identifying Transformations (translations, rotations, reflections) Learning Intention Investigate translations, rotations and reflections

Start to colour the pattern. Repeating each colour in every segment

Page 53: Maths Term 2 Week 2 - East Marden€¦ · Topic: Identifying Transformations (translations, rotations, reflections) Learning Intention Investigate translations, rotations and reflections

This pattern has a rotational symmetry of..8

Page 55: Maths Term 2 Week 2 - East Marden€¦ · Topic: Identifying Transformations (translations, rotations, reflections) Learning Intention Investigate translations, rotations and reflections

By colouring alternate segments in identical colours..

Page 56: Maths Term 2 Week 2 - East Marden€¦ · Topic: Identifying Transformations (translations, rotations, reflections) Learning Intention Investigate translations, rotations and reflections

This pattern has a rotational symmetry of..4

Page 57: Maths Term 2 Week 2 - East Marden€¦ · Topic: Identifying Transformations (translations, rotations, reflections) Learning Intention Investigate translations, rotations and reflections

Try colouring alternate segments ...

Page 58: Maths Term 2 Week 2 - East Marden€¦ · Topic: Identifying Transformations (translations, rotations, reflections) Learning Intention Investigate translations, rotations and reflections

This pattern has a rotational symmetry of..2