we are learning to: - enhance our mathematical learning skills. (which enterprise skills?)...

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We are learning to: - Enhance our Mathematical learning skills. (Which Enterprise skills?) -Accurately reflect objects in different mirror lines. (Levels 4-6) Always aim high! LESSON OBJECTIVES Creative Entreprene ur Responsibl e Citizen Independen t Learner Positive Thinker Team Worker Reflectiv e Learner Enterprise Skills Which ones are you using? AUTHOR Where are we in our journey? Real life cross/curric ular links? www.mistrymaths.co.uk

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Page 1: We are learning to: - Enhance our Mathematical learning skills. (Which Enterprise skills?) -Accurately reflect objects in different mirror lines. (Levels

We are learning to:- Enhance our Mathematical learning skills. (Which Enterprise skills?) -Accurately reflect objects in different mirror lines. (Levels 4-6)

Always aim high!LESSON OBJECTIVES

Creative Entrepreneur

Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner

Enterprise SkillsWhich ones are you

using?

AUTHORWhere are we in

our journey?

Real life cross/curricular

links?www.mistrymaths.co.uk

Page 2: We are learning to: - Enhance our Mathematical learning skills. (Which Enterprise skills?) -Accurately reflect objects in different mirror lines. (Levels

LEARNING JOURNEY

Creative Entrepreneur

Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner

Enterprise Skills Which ones are you using?

Page 3: We are learning to: - Enhance our Mathematical learning skills. (Which Enterprise skills?) -Accurately reflect objects in different mirror lines. (Levels

BRAIN IN GEAR

Creative Entrepreneur

Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner

Enterprise Skills Which ones are you using?

Work out the following Mathematical anagrams:

TASK

EXTENSION

Develop your own Mathematical anagrams as above as a creative entrepreneur.

NQTUIEDISTA

BTEOCJ

GEIMA

EXAMPLEDITDIONA can be rearranged to make ADDITION

Equidistant

Object

Image

Page 4: We are learning to: - Enhance our Mathematical learning skills. (Which Enterprise skills?) -Accurately reflect objects in different mirror lines. (Levels

STARTER

EXTENSIONTASK

Creative Entrepreneur

Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner

Enterprise Skills Which ones are you using?

Simplify: 6b - 8c – 2b + 5c1)

= 4b- 3c2)

Value of 7d - 5 when d = -23)

Round 8.42 to 1d.p(a)Round 17.367 to 2d.p(b)

=8.4=17.37

= Replace d with -27 x -2 - 5 = -14 - 5 =-19 3 . 2 6+ 1 4 . 9 0

0

611

.81

4) 5) 3 2 . 6 - 1 5 . 7 3

0

78

1

.61

51 12 1

6)Answer = 1052

7 3 6 4 7 3

1 0 512

7)Expand and simplify: 7(y - 3) - 2= 7y- 21 - 2= 7y - 23

1)Work out without a calculator: 6.4 x 8.7

6 4 x87

48

32

42

2886

5

5 1

ANSWER = 55.68

Page 5: We are learning to: - Enhance our Mathematical learning skills. (Which Enterprise skills?) -Accurately reflect objects in different mirror lines. (Levels

Creative Entrepreneur

Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner

Enterprise Skills Which ones are you using?

REFLECTIONS

EXAMPLES

Reflect the shape in the mirror line.

1) 2)

Object

x x

x xx x

x x

Reflect the shape in the mirror line.

Image

Objectx

x

x

x

x

x

x

x

Imag

e

Page 6: We are learning to: - Enhance our Mathematical learning skills. (Which Enterprise skills?) -Accurately reflect objects in different mirror lines. (Levels

Creative Entrepreneur

Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner

Enterprise Skills Which ones are you using?

REFLECTIONS

TASK 1 (LEVEL 4)Reflect the shapes in the mirror lines given below:

Page 7: We are learning to: - Enhance our Mathematical learning skills. (Which Enterprise skills?) -Accurately reflect objects in different mirror lines. (Levels

Creative Entrepreneur

Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner

Enterprise Skills Which ones are you using?

REFLECTIONS

TASK 2 (LEVEL 4)Reflect the shapes in the mirror lines given below:

Page 8: We are learning to: - Enhance our Mathematical learning skills. (Which Enterprise skills?) -Accurately reflect objects in different mirror lines. (Levels

Creative Entrepreneur

Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner

Enterprise Skills Which ones are you using?

REFLECTIONS

TASK 3 (LEVEL 4)Reflect the shapes in the mirror lines given below:

Page 9: We are learning to: - Enhance our Mathematical learning skills. (Which Enterprise skills?) -Accurately reflect objects in different mirror lines. (Levels

Creative Entrepreneur

Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner

Enterprise Skills Which ones are you using?

REFLECTIONS

TASK 4 (LEVEL 4)Reflect the shapes in the mirror lines given below:

Page 10: We are learning to: - Enhance our Mathematical learning skills. (Which Enterprise skills?) -Accurately reflect objects in different mirror lines. (Levels

Creative Entrepreneur

Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner

Enterprise Skills Which ones are you using?

REFLECTIONS

TASK 5 (LEVEL 4)Reflect the shapes in the mirror lines given below:

Page 11: We are learning to: - Enhance our Mathematical learning skills. (Which Enterprise skills?) -Accurately reflect objects in different mirror lines. (Levels

Creative Entrepreneur

Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner

Enterprise Skills Which ones are you using?

REFLECTIONS

TASK 6 (LEVEL 4)

Page 12: We are learning to: - Enhance our Mathematical learning skills. (Which Enterprise skills?) -Accurately reflect objects in different mirror lines. (Levels

Creative Entrepreneur

Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner

Enterprise Skills Which ones are you using?

REFLECTIONS

EXTENSION 1 (LEVEL 5)Reflect the shapes in the mirror lines given below:

\ \

Page 13: We are learning to: - Enhance our Mathematical learning skills. (Which Enterprise skills?) -Accurately reflect objects in different mirror lines. (Levels

Which ones are you using?

Creative Entrepreneur

Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner

Enterprise SkillsREFLECTIONS

EXAMPLES

Reflect the shape in the line x = -1

3) 4)

Reflect the shape in the line y = 2

x = -1

x xx xx x

x x

x xx x

y = 2

x

x

x

x

x

x

x

x

x

x

x

x

x

x

x

x

x

x

x

x

x

x

x

x

x

y

x

y

Page 14: We are learning to: - Enhance our Mathematical learning skills. (Which Enterprise skills?) -Accurately reflect objects in different mirror lines. (Levels

Creative Entrepreneur

Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner

Enterprise Skills Which ones are you using?

REFLECTIONS

TASK 7 (LEVEL 5)1) 2)

3) 4)

Reflect in the line x = -1

Reflect in the line y = 1

Reflect in the line x = 2

Reflect in the line y = -1

x = -1

y = 1

x = 2

y = -1

x

y

x

y

x

y

x

y

Page 15: We are learning to: - Enhance our Mathematical learning skills. (Which Enterprise skills?) -Accurately reflect objects in different mirror lines. (Levels

Creative Entrepreneur

Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner

Enterprise Skills Which ones are you using?

REFLECTIONS

TASK 8 (LEVEL 5)1) 2)

3) 4)

Reflect in the line y = 0

Reflect in the line x = 0

Reflect in the line y = x

Reflect in the line y = -x

y = 0

x = 0

y = x y = -x

x

y

x

y

x

y

x

y

Page 16: We are learning to: - Enhance our Mathematical learning skills. (Which Enterprise skills?) -Accurately reflect objects in different mirror lines. (Levels

Creative Entrepreneur

Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner

Enterprise Skills Which ones are you using?

REFLECTIONS

EXTENSION 2 (LEVEL 5)1) 2) Reflect the shape made by the co-

ordinates (1,-1), (4,0), (4,-4) in the x-axis.

Reflect the shape made by the co-ordinates (-3,-5), (-4,0), (-2,-1), (0,-4) in y = -1.

xx

x

x

y

x

y

x-axis

x

xx

x

y = -1

Page 17: We are learning to: - Enhance our Mathematical learning skills. (Which Enterprise skills?) -Accurately reflect objects in different mirror lines. (Levels

Creative Entrepreneur

Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner

Enterprise Skills Which ones are you using?

REFLECTIONS

EXTENSION 2 (LEVEL 5)3) 4) Reflect the shape made by the co-

ordinates (2,2), (2,5), (3,2) in the line x = 3.

Reflect the shape made by the co-ordinates (-3,-1), (-3,2), (-1,3), (1,1) in the line x = -1.

x

y

x

y

x

x

x

x = 3

x

xx

x

x = -1

Page 18: We are learning to: - Enhance our Mathematical learning skills. (Which Enterprise skills?) -Accurately reflect objects in different mirror lines. (Levels

Creative Entrepreneur

Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner

Enterprise Skills Which ones are you using?

REFLECTIONS

EXAMPLES

Describe the transformation that maps A to B

5) 6)

x

y

x

y

Describe the transformation that maps A to B

y = 3

A reflection in the line y = 3

y = x

A reflection in the line y = x

A

B

A

B

Page 19: We are learning to: - Enhance our Mathematical learning skills. (Which Enterprise skills?) -Accurately reflect objects in different mirror lines. (Levels

Creative Entrepreneur

Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner

Enterprise Skills Which ones are you using?

REFLECTIONS

TASK 9 (LEVEL 6)1) 2)

3) 4)

Describe the transformation

x

y

x

y

x

y

x

y

Describe the transformation

Describe the transformation

Describe the transformation

x = 1

Reflection in the line

x = 1

y = 2

Reflection in the line

y = 2

y = x

Reflection in the line

y = x

y = -x

Reflection in the line

y = -x

Page 20: We are learning to: - Enhance our Mathematical learning skills. (Which Enterprise skills?) -Accurately reflect objects in different mirror lines. (Levels

Creative Entrepreneur

Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner

Enterprise Skills Which ones are you using?

REFLECTIONS

EXTENSION 3 (LEVEL 5)1) Draw a grid running from -6 to +6 in the y direction, and -10 to 10 in the x

direction. Plot the following shapes on your grid, joining up the points in order to spell a word. Shape A: (0,1), (0,3), (0,2), (1,2), (1,3), (1,1)Shape B: (3,1), (2,1), (2,2), (3,2), (2,2), (2,3), (3,3)Shape C: (4,3), (4,1), (5,1)Shape D: (6,3), (6,1), (7,1)Shape E: (8,1), (8,3), (9,3), (9,1), (8,1) a)Draw a line from (0, -1) to (10, -1). Use this as a mirror line and reflect all of the message. What do you notice about the letters?b)Draw a line from (0,-6) to (0,6). Use this as a mirror line to reflect both the messages again. What do you notice about the letters?c)Plot your name on a set of axis and reflect it using the same lines as above.d)What happens if you reflect your name in the same line twice? 

Page 21: We are learning to: - Enhance our Mathematical learning skills. (Which Enterprise skills?) -Accurately reflect objects in different mirror lines. (Levels

Creative Entrepreneur

Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner

Enterprise Skills Which ones are you using?MINI-PLENARY – ASSESSING UNDERSTANDING

REFLECTIONS

A student has reflected the patterns as shown below. Are the reflections correct and what advice would you give them to help them?

Page 22: We are learning to: - Enhance our Mathematical learning skills. (Which Enterprise skills?) -Accurately reflect objects in different mirror lines. (Levels

DISCOVERY

LINK BACK TO OBJECTIVES

- Accurately reflect objects in different mirror lines.

Creative Entrepreneur

Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner

Enterprise Skills Which ones are you using?

What level are we

working at?

Page 23: We are learning to: - Enhance our Mathematical learning skills. (Which Enterprise skills?) -Accurately reflect objects in different mirror lines. (Levels

Creative Entrepreneur

Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner

Enterprise Skills Which ones are you using?PLENARY ACTIVITY

REFLECTIONS

Which letters of these road signs have lines of symmetry?

Page 24: We are learning to: - Enhance our Mathematical learning skills. (Which Enterprise skills?) -Accurately reflect objects in different mirror lines. (Levels

Draw your brain

What have you learnt?

In your brain, write or draw everything you can remember about reflecting objects in different mirror lines. It can be a skill or a reflection,

or something else that might be prominent in your brain.

What level are we

working at?

Where are we in our

journey?

Page 25: We are learning to: - Enhance our Mathematical learning skills. (Which Enterprise skills?) -Accurately reflect objects in different mirror lines. (Levels

.

How well do you understand the task?

I don’t understand

I nearly understand

I fully understand

Creative Entrepreneur

Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner

Enterprise Skills Which ones are you using?

SELF ASSESSMENT

Plenary Activity

www.mistrymaths.co.uk

Page 26: We are learning to: - Enhance our Mathematical learning skills. (Which Enterprise skills?) -Accurately reflect objects in different mirror lines. (Levels

SELF ASSESSMENT

Plenary Activity

On your post it notes…

Think about how you can improve your

work.

WWW (What Went Well)

EBI (Even Better If)

Creative Entrepreneur

Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner

Enterprise Skills Which ones are you using?

www.mistrymaths.co.uk

Page 27: We are learning to: - Enhance our Mathematical learning skills. (Which Enterprise skills?) -Accurately reflect objects in different mirror lines. (Levels

Creative Entrepreneur

Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner

Enterprise Skills Which ones are you using?

REFLECTIONS

TASK 1 (LEVEL 4)Reflect the shapes in the mirror lines given below:

Page 28: We are learning to: - Enhance our Mathematical learning skills. (Which Enterprise skills?) -Accurately reflect objects in different mirror lines. (Levels

Creative Entrepreneur

Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner

Enterprise Skills Which ones are you using?

REFLECTIONS

TASK 2 (LEVEL 4)Reflect the shapes in the mirror lines given below:

Page 29: We are learning to: - Enhance our Mathematical learning skills. (Which Enterprise skills?) -Accurately reflect objects in different mirror lines. (Levels

Creative Entrepreneur

Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner

Enterprise Skills Which ones are you using?

REFLECTIONS

TASK 3 (LEVEL 4)Reflect the shapes in the mirror lines given below:

Page 30: We are learning to: - Enhance our Mathematical learning skills. (Which Enterprise skills?) -Accurately reflect objects in different mirror lines. (Levels

Creative Entrepreneur

Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner

Enterprise Skills Which ones are you using?

REFLECTIONS

TASK 4 (LEVEL 4)Reflect the shapes in the mirror lines given below:

Page 31: We are learning to: - Enhance our Mathematical learning skills. (Which Enterprise skills?) -Accurately reflect objects in different mirror lines. (Levels

Creative Entrepreneur

Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner

Enterprise Skills Which ones are you using?

REFLECTIONS

TASK 5 (LEVEL 4)Reflect the shapes in the mirror lines given below:

Page 32: We are learning to: - Enhance our Mathematical learning skills. (Which Enterprise skills?) -Accurately reflect objects in different mirror lines. (Levels

Creative Entrepreneur

Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner

Enterprise Skills Which ones are you using?

REFLECTIONS

TASK 6 (LEVEL 4)

Page 33: We are learning to: - Enhance our Mathematical learning skills. (Which Enterprise skills?) -Accurately reflect objects in different mirror lines. (Levels

Creative Entrepreneur

Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner

Enterprise Skills Which ones are you using?

REFLECTIONS

TASK 7 (LEVEL 5)1) 2)

3) 4)

Reflect in the line x = -1

Reflect in the line y = 1

Reflect in the line x = 2

Reflect in the line y = -1

x

y

x

y

x

y

x

y

Page 34: We are learning to: - Enhance our Mathematical learning skills. (Which Enterprise skills?) -Accurately reflect objects in different mirror lines. (Levels

Creative Entrepreneur

Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner

Enterprise Skills Which ones are you using?

REFLECTIONS

TASK 8 (LEVEL 5)1) 2)

3) 4)

Reflect in the line y = 0

Reflect in the line x = 0

Reflect in the line y = x

Reflect in the line y = -x

x

y

x

y

x

y

x

y

Page 35: We are learning to: - Enhance our Mathematical learning skills. (Which Enterprise skills?) -Accurately reflect objects in different mirror lines. (Levels

Creative Entrepreneur

Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner

Enterprise Skills Which ones are you using?

REFLECTIONS

EXTENSION 1 (LEVEL 5)Reflect the shapes in the mirror lines given below: