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Team Worker. Positive Thinker. Creative Entrepreneur. Independent Learner. Reflective Learner. Responsible Citizen. Real life cross/curricular links?. Where are we in our journey?. Which ones are you using?. Enterprise Skills. LESSON OBJECTIVES. Always aim high!. We are learning to:

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which ones are you using

Team Worker

Positive Thinker

Creative Entrepreneur

Independent Learner

Reflective Learner

Responsible Citizen

Real life cross/curricular links?

Where are we in our journey?

Which ones are you using?

Enterprise Skills

LESSON OBJECTIVES

Always aim high!

We are learning to:

  • Enhance our Mathematical learning skills.

(Which Enterprise skills?)

  • Accurately find the nth term of a number sequence. (Level 6)

AUTHOR

www.mistrymaths.co.uk

slide2

Team Worker

Positive Thinker

Creative Entrepreneur

Independent Learner

Reflective Learner

Responsible Citizen

LEARNING JOURNEY

Enterprise Skills

Which ones are you using?

slide3

Team Worker

Positive Thinker

Creative Entrepreneur

Independent Learner

Reflective Learner

Responsible Citizen

BRAIN IN GEAR

Enterprise Skills

Which ones are you using?

EXAMPLE

DITDIONA can be rearranged to make ADDITION

TASK

Work out the following Mathematical anagrams:

Sequence

Term

Difference

EXTENSION

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

slide4

Team Worker

Positive Thinker

Creative Entrepreneur

Independent Learner

Reflective Learner

Responsible Citizen

STARTER

Enterprise Skills

Which ones are you using?

TASK

Complete the following pattern:

1

1, 1

2, 1

1, 2, 1, 1

1, 1, 1, 2, 2, 1

3, 1, 2, 2, 1, 1

1, 3, 1, 1, 2, 2, 2, 1

1

1

2

3

1

1

3

1

2

1

….. , ….. , ….. , ….. , ….. , ….. , ….. , ….. , ….. , …..

slide5

Team Worker

Positive Thinker

Creative Entrepreneur

Independent Learner

Reflective Learner

Responsible Citizen

Nth Term

Enterprise Skills

Which ones are you using?

EXAMPLES

Find the nth term of the following sequences and then calculate the 100th term.

b)

a)

3, 7, 11, 15, …

2, 9, 16, 23, …

c)

5, 7, 9, 11, …

+2

+3

+3

+5

+4

+7

+3

+5

+2

+3

+7

+4

+3

+3

+5

+2

+4

+7

Nth term = 4n

-1

Nth term = 2n

+3

Nth term = 7n

-5

100th term = 4x100 -1

100th term = 2x100 + 3

100th term = 7x100 - 5

100th term = 399

100th term = 203

100th term = 695

d)

11, 16, 21, 26, …

e)

-5, -2, 1, 4, …

f)

3, 6, 9,12, …

Nth term = 3n

-8

Nth term = 3n

Nth term = 5n

+ 6

100th term = 3x100 - 8

100th term = 3x100

100th term = 5x100 + 6

100th term = 292

100th term = 300

100th term = 506

slide6

Team Worker

Positive Thinker

Creative Entrepreneur

Independent Learner

Reflective Learner

Responsible Citizen

Nth Term

Enterprise Skills

Which ones are you using?

QUICK AFL QUESTIONS ON WHITEBOARDS (BEFORE TREASURE HUNT)

Find the nth term of the following sequences and then calculate the 100th term.

a)

b)

c)

4, 7, 10, 13, …

2, 8, 14, 20, …

-8, -3, 2, 7, …

+3

+5

+6

+3

+6

+5

+6

+5

+3

Nth term = 3n

+ 1

Nth term = 6n

-4

Nth term = 5n

-13

100th term = 3x100 +1

100th term = 6x100 -4

100th term = 5x100 -13

100th term = 301

100th term = 596

100th term = 487

slide7

Team Worker

Positive Thinker

Creative Entrepreneur

Independent Learner

Reflective Learner

Responsible Citizen

Nth Term

Enterprise Skills

Which ones are you using?

TASK – TREASURE HUNT (Level 6)

slide8

Team Worker

Positive Thinker

Creative Entrepreneur

Independent Learner

Reflective Learner

Responsible Citizen

Nth Term

Enterprise Skills

Which ones are you using?

TASK (Level 6)

slide9

Team Worker

Positive Thinker

Creative Entrepreneur

Independent Learner

Reflective Learner

Responsible Citizen

Nth Term

Enterprise Skills

Which ones are you using?

TASK (Level 6)

slide10

Team Worker

Positive Thinker

Creative Entrepreneur

Independent Learner

Reflective Learner

Responsible Citizen

Nth Term

Enterprise Skills

Which ones are you using?

EXTENSION (Level 7)

1)

Find the nth term for the following sequences:

(a) 1, 4, 9, 16, 25, …

Square Numbers

2

3

n

n

(b) 1, 8, 27, 64, …

Cube Numbers

(c) 1, 3, 6, 10, 15, …

Triangle Numbers

slide11

Team Worker

Positive Thinker

Creative Entrepreneur

Independent Learner

Reflective Learner

Responsible Citizen

Nth Term

Enterprise Skills

Which ones are you using?

MINI-PLENARY ACTIVITY

SIT DOWN → FALSE

STAND UP → TRUE

slide12

Team Worker

Positive Thinker

Creative Entrepreneur

Independent Learner

Reflective Learner

Responsible Citizen

Nth Term

Enterprise Skills

Which ones are you using?

MINI-PLENARY ACTIVITY

SIT DOWN → FALSE

STAND UP → TRUE

slide13

Team Worker

Positive Thinker

Creative Entrepreneur

Independent Learner

Reflective Learner

Responsible Citizen

Nth Term

Enterprise Skills

Which ones are you using?

MINI-PLENARY ACTIVITY

SIT DOWN → FALSE

STAND UP → TRUE

slide14

Team Worker

Positive Thinker

Creative Entrepreneur

Independent Learner

Reflective Learner

Responsible Citizen

Nth Term

Enterprise Skills

Which ones are you using?

MINI-PLENARY ACTIVITY

SIT DOWN → FALSE

STAND UP → TRUE

slide15

Team Worker

Positive Thinker

Creative Entrepreneur

Independent Learner

Reflective Learner

Responsible Citizen

  • LINK BACK TO OBJECTIVES
  • Accurately find the nth term of a number sequence.

What level are we working at?

DISCOVERY

Enterprise Skills

Which ones are you using?

slide16

Team Worker

Positive Thinker

Creative Entrepreneur

Independent Learner

Reflective Learner

Responsible Citizen

Enterprise Skills

SEQUENCES

Which ones are you using?

PLENARY ACTIVITY

10

4

7

13

TASK (LEVEL 6)

Find the nth term for the number of matchsticks

3n

+ 1

EXTENSION (LEVEL 6)

How many matchsticks will there be in the 50th pattern?

3 x 50 + 1

=151

Replace n with 50

slide17

What level are we working at?

Where are we in our journey?

What have you learnt?

Draw your brain

In your brain, write or draw everything you can remember about finding the nth term. It can be a skill or a reflection, or something else that might be prominent in your brain.

slide18

Team Worker

Positive Thinker

Creative Entrepreneur

Independent Learner

Reflective Learner

Responsible Citizen

SELF ASSESSMENT

Enterprise Skills

Which ones are you using?

Plenary Activity

How well do you understand the task?

.

I fully understand

I don’t understand

I nearly understand

www.mistrymaths.co.uk

slide19

Team Worker

Positive Thinker

Creative Entrepreneur

Independent Learner

Reflective Learner

Responsible Citizen

SELF ASSESSMENT

Enterprise Skills

Which ones are you using?

Plenary Activity

WWW (What Went Well)

EBI (Even Better If)

On your post it notes…

Think about how you can improve your work.

www.mistrymaths.co.uk