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  • Find a rule – two step Work out the missing outputs …...Find a rule – two step 1 Use the function machine to complete the table. × 5 + 2 input output Input 1 2 3 5 10 50 Output
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Find a rule – two step 1 Use the function machine to complete the table. +2 ×5 input output Input 1 2 3 5 10 50 Output 2 Here is the same function machine with the steps in the reverse order. ×5 +2 input output Explain to a partner who you think is correct. Use the function machine to complete the table. Input 1 2 3 5 10 50 Output Who is correct? 3 Work out the missing outputs and inputs. a) 1 ×5 +4 input output 5 8 39 b) 3 ×5 –4 input output 4 20 51 c) 13 –3 ÷2 input output 3 12 8 © White Rose Maths 2019 The outputs will be the same. The outputs will be different. Teddy Jack

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Page 1: Find a rule – two step Work out the missing outputs …...Find a rule – two step 1 Use the function machine to complete the table. × 5 + 2 input output Input 1 2 3 5 10 50 Output

Find a rule – two step

1 Usethefunctionmachinetocompletethetable.

+2×5

input output

Input 1 2 3 5 10 50

Output

2 Hereisthesamefunctionmachinewiththestepsinthe

reverseorder.

×5+2

input output

Explaintoapartnerwhoyouthinkiscorrect.

Usethefunctionmachinetocompletethetable.

Input 1 2 3 5 10 50

Output

Whoiscorrect?

3 Workoutthemissingoutputsandinputs.

a)

1

×5 +4

input output

5

8

39

b)

3

×5 –4

input output

4

20

51

c)

13

–3 ÷2

input output

3

12

8

©WhiteRoseMaths2019

The outputs will be the same.

The outputs will be different.

Teddy

Jack

Page 2: Find a rule – two step Work out the missing outputs …...Find a rule – two step 1 Use the function machine to complete the table. × 5 + 2 input output Input 1 2 3 5 10 50 Output

4 Tickthepairsoffunctionmachinesthatwillgivethesameoutputs

foragiveninput.

a)

+4+3

input output

+3+4

input output

b)

–1×3

input output

×3–1

input output

c)

×2×10

input output

×10×2

input output

Explainyourreasoningtoapartner.

5 Herearesome2-stepfunctionmachines.

Foreachmachine,writeasinglestepthatwouldgivethe

sameoutput.

Checkyouranswersbyinputtingvalues.

a)

×2×5

input output

b)

–2+12

input output

©WhiteRoseMaths2019

c)

÷2×8

input output

Canall2-stepfunctionmachinesbewrittenasa1-step

functionmachine?

Talkaboutitwithapartner.

6 Hereisafunctionmachine.

×4–3

input output

a) Completethetable.

Input 10 3

Output 40 280

b) Rosieputsanumberintothemachineandshegetsoutthe

samenumber.

WorkoutRosie’snumber.

7 MrHallandMrsRoseordersome

photosonline.

a) MrHallorders16photos.

Howmuchdoeshepay?

b) MrsRosepays£6.05

Howmanyphotosdidsheorder?

Order photos online

Photos 20p each

Delivery £1.25


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