1 of 20

Rounding inquiry

Inquiry Maths

Link to the Inquiry Maths website

 

2 of 20

Inquiry prompt

Inquiry Maths

 

3 of 20

Inquiry Maths

4 of 20

Inquiry prompt

Inquiry Maths

 

5 of 20

Inquiry Maths

Link to the Regulatory Cards

6 of 20

Extend patterns.

Inquiry Maths

Regulatory cards for a guided inquiry

Link to the Regulatory Cards

Change the prompt.

Prove a generalisation.

Practise a procedure.

Ask the teacher

or a student

to explain.

Decide if the prompt is

always true.

7 of 20

Inquiry Maths

Lines of inquiry

8 of 20

Ask the teacher

or a student

to explain.

Inquiry Maths

Square roots

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9 of 20

Ask the teacher

or a student

to explain.

Inquiry Maths

 

Degree of rounding

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Nearest integer

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1 decimal place

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2 decimal places

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3 decimal places

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4 decimal places

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Rounding square roots

10 of 20

Ask the teacher

or a student

to explain.

Inquiry Maths

 

 

What do you notice?

11 of 20

Practise a procedure.

Inquiry Maths

Number

Square root

Square root rounded to 2 decimal places

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12 of 20

Practise a procedure.

Inquiry Maths

Number

Square root

Square root rounded to 2 decimal places

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13 of 20

Decide if the prompt is

always true.

Inquiry Maths

Number

Square root

Square root rounded to 2 decimal places

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14 of 20

Change the prompt.

Inquiry Maths

Number

Cube root

Cube root rounded to 2 decimal places

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Cube roots

15 of 20

Change the prompt.

Inquiry Maths

Number

Cube root

Cube root rounded to 2 decimal places

Cube root rounded to nearest positive integer (n)

Number of cube roots �that round to n

1

1

1.00

1

3

2

1.25992105

1.26

1

3

1.44224957

1.44

1

4

1.587401052

1.59

2

12

5

1.709975947

1.71

2

6

1.817120593

1.82

2

7

1.912931183

1.91

2

8

2

2.00

2

9

2.080083823

2.08

2

10

2.15443469

2.15

2

11

2.223980091

2.22

2

12

2.289428485

2.29

2

13

2.351334688

2.35

2

14

2.410142264

2.41

2

15

2.466212074

2.47

2

16

2.5198421

2.52

3

27

17

2.571281591

2.57

3

18

2.620741394

2.62

3

19

2.668401649

2.67

3

20

2.714417617

2.71

3

21

2.758924176

2.76

3

22

2.802039331

2.80

3

23

2.84386698

2.84

3

24

2.884499141

2.88

3

25

2.924017738

2.92

3

26

2.962496068

2.96

3

27

3

3.00

3

28

3.036588972

3.04

3

29

3.072316826

3.07

3

30

3.107232506

3.11

3

31

3.141380652

3.14

3

32

3.174802104

3.17

3

33

3.20753433

3.21

3

34

3.239611801

3.24

3

35

3.27106631

3.27

3

36

3.301927249

3.30

3

37

3.332221852

3.33

3

38

3.361975407

3.36

3

39

3.391211443

3.39

3

40

3.419951893

3.42

3

41

3.44821724

3.45

3

42

3.476026645

3.48

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Cube roots

16 of 20

Extend patterns.

Inquiry Maths

 

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17 of 20

Extend patterns.

Inquiry Maths

 

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18 of 20

Extend patterns.

Inquiry Maths

Root

square

cube

fourth

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19 of 20

Prove a generalisation.

Inquiry Maths

 

 

20 of 20

Inquiry Maths