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Key Objectives Year 6 Numeracy

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Page 1: Key Objectives Year 6 Numeracy. Multiply and divide decimals by 10 and 100, and whole numbers by 1000. 7.5 x 100 =63.7 10 = 346 100=804 x 10 = Explain

Key Objectives

Year 6 Numeracy

Page 2: Key Objectives Year 6 Numeracy. Multiply and divide decimals by 10 and 100, and whole numbers by 1000. 7.5 x 100 =63.7 10 = 346 100=804 x 10 = Explain

Multiply and divide decimals by 10 and 100, and whole numbers by 1000.

7.5 x 100 = 63.7 10 =

346 100= 804 x 10 =

Explain the effect

Place Value

Page 3: Key Objectives Year 6 Numeracy. Multiply and divide decimals by 10 and 100, and whole numbers by 1000. 7.5 x 100 =63.7 10 = 346 100=804 x 10 = Explain

Place Value

Order a set of positive and negative integers

97 -30 780 29 -29 0 -472 7

Page 4: Key Objectives Year 6 Numeracy. Multiply and divide decimals by 10 and 100, and whole numbers by 1000. 7.5 x 100 =63.7 10 = 346 100=804 x 10 = Explain

Place Value

Order a mixed set of numbers with up to three decimal places

23.5 20.35 2.53 2.35 20.305 0.235

Page 5: Key Objectives Year 6 Numeracy. Multiply and divide decimals by 10 and 100, and whole numbers by 1000. 7.5 x 100 =63.7 10 = 346 100=804 x 10 = Explain

Place Value

Round a number with one or two decimal places to the nearest integer

25.6 to the nearest integer

38.27 to the nearest integer

296.09 to the nearest integer

59.82 to the nearest integer

Page 6: Key Objectives Year 6 Numeracy. Multiply and divide decimals by 10 and 100, and whole numbers by 1000. 7.5 x 100 =63.7 10 = 346 100=804 x 10 = Explain

Fractions

Relate fractions to decimal and percentage equivalents

½ = 1/5 =

¼ = 10/10 =

¾ = 1/10 =

1/3 = 2/3 =

Page 7: Key Objectives Year 6 Numeracy. Multiply and divide decimals by 10 and 100, and whole numbers by 1000. 7.5 x 100 =63.7 10 = 346 100=804 x 10 = Explain

Fractions

Reduce a fraction to its simplest form by cancelling

5/10 6/8 16/20 16/64 15/27

Page 8: Key Objectives Year 6 Numeracy. Multiply and divide decimals by 10 and 100, and whole numbers by 1000. 7.5 x 100 =63.7 10 = 346 100=804 x 10 = Explain

Fractions

Find fractions of numbers or quantities

5/8 of 32

7/10 of 40

2/3 of 693

1/100 of 400cm

Page 9: Key Objectives Year 6 Numeracy. Multiply and divide decimals by 10 and 100, and whole numbers by 1000. 7.5 x 100 =63.7 10 = 346 100=804 x 10 = Explain

Percentage

Understand percentage as number of parts out of 100, and find percentages of quantities

7% of 320 20% of 634

36% of 400 83% of 286

Page 10: Key Objectives Year 6 Numeracy. Multiply and divide decimals by 10 and 100, and whole numbers by 1000. 7.5 x 100 =63.7 10 = 346 100=804 x 10 = Explain

Ratio and proportion

Solve problems involving ratio and proportion

Chocolates have a ratio of 3 milk to 2 plain (3:2)What proportion are milk? Plain?

If there are 9 milk, how many are plain?

If there 16 plain, how many are milk?

If there are 50 chocolates how many are plain? How many chocolate?

Page 11: Key Objectives Year 6 Numeracy. Multiply and divide decimals by 10 and 100, and whole numbers by 1000. 7.5 x 100 =63.7 10 = 346 100=804 x 10 = Explain

Addition and Subtraction

Carry out quick mental addition and subtraction

37 + 20 = 7.5 + 4.8 =

68 – 30 = 9.4 – 6.3 =

65 + 9 = 243 + 399 =

407 – 193 =

Page 12: Key Objectives Year 6 Numeracy. Multiply and divide decimals by 10 and 100, and whole numbers by 1000. 7.5 x 100 =63.7 10 = 346 100=804 x 10 = Explain

Addition and Subtraction

Carry out written calculations, including decimals

637 + 8674 = 956 – 274 =

805 + 385 = 805 – 385 =

64.3 + 78.42 = 74.6 – 25.7 =

Page 13: Key Objectives Year 6 Numeracy. Multiply and divide decimals by 10 and 100, and whole numbers by 1000. 7.5 x 100 =63.7 10 = 346 100=804 x 10 = Explain

Know by heart, multiplication and corresponding division facts to 10 x 10

9 x 6 = 54 6 =

3 x 7 = 27 9 =

6 x 8 = 72 8 =

Multiplication and division

Page 14: Key Objectives Year 6 Numeracy. Multiply and divide decimals by 10 and 100, and whole numbers by 1000. 7.5 x 100 =63.7 10 = 346 100=804 x 10 = Explain

Multiplication and division

Multiply and divide 3 digit numbers by 1 digit

27 x 5 = 630 5 =

397 x 8 = 964 2 =

7 x 309 = 876 7 =

Page 15: Key Objectives Year 6 Numeracy. Multiply and divide decimals by 10 and 100, and whole numbers by 1000. 7.5 x 100 =63.7 10 = 346 100=804 x 10 = Explain

Multiplication and division

Multiply and divide involving decimals

25 x 4.3 = 63.4 2 =

356 x 2.6 = 36.5 5 =

3 x 15.7 = 37.8 6 =

Page 16: Key Objectives Year 6 Numeracy. Multiply and divide decimals by 10 and 100, and whole numbers by 1000. 7.5 x 100 =63.7 10 = 346 100=804 x 10 = Explain

Multiplication and division

Multiply and divide two and three digit numbers

43 x 46 = 65 x 354 =

730 x 65 = 210 70 =

180 30 = 8688 16 =

Page 17: Key Objectives Year 6 Numeracy. Multiply and divide decimals by 10 and 100, and whole numbers by 1000. 7.5 x 100 =63.7 10 = 346 100=804 x 10 = Explain

Measures, shape and space

Use a protractor to measure angles to the nearest degree.

Page 18: Key Objectives Year 6 Numeracy. Multiply and divide decimals by 10 and 100, and whole numbers by 1000. 7.5 x 100 =63.7 10 = 346 100=804 x 10 = Explain

Measures, shape and space

Calculate the perimeter and area of compound shapes that can be split into rectangles.

4cm

12cm

5cm

7cm

Page 19: Key Objectives Year 6 Numeracy. Multiply and divide decimals by 10 and 100, and whole numbers by 1000. 7.5 x 100 =63.7 10 = 346 100=804 x 10 = Explain

Measures, shape and space

Find areas and volumes using formula

2cm

6cm

5cm

8cm

3cm

Page 20: Key Objectives Year 6 Numeracy. Multiply and divide decimals by 10 and 100, and whole numbers by 1000. 7.5 x 100 =63.7 10 = 346 100=804 x 10 = Explain

Measures, shape and space

Read and plot co-ordinates in all four quadrants.

B

-4 -3 -2 -1 0 1 2 3 4

4

3

2

1

-1

-2

-3

-4

A

Page 21: Key Objectives Year 6 Numeracy. Multiply and divide decimals by 10 and 100, and whole numbers by 1000. 7.5 x 100 =63.7 10 = 346 100=804 x 10 = Explain

Problem solving

Identify and use appropriate operations to solve word problems.

Explain methods and reasoning.Check solutions by logic, approximation

and inverses.

A box of books weighs 64kg. If there are 25 books inside the box, what is the average weight of one book?

Page 22: Key Objectives Year 6 Numeracy. Multiply and divide decimals by 10 and 100, and whole numbers by 1000. 7.5 x 100 =63.7 10 = 346 100=804 x 10 = Explain

Data handling

Solve problems by extracting and interpreting information from tables, graphs and charts.

0

10

20

30

40

50

60

70

80

Jan Feb March April

Y4

Y5

Y6

Approximately how much more money was raised in March than in April?

Which class raised the most, and by how much was their total greater?

Page 23: Key Objectives Year 6 Numeracy. Multiply and divide decimals by 10 and 100, and whole numbers by 1000. 7.5 x 100 =63.7 10 = 346 100=804 x 10 = Explain

Algebra

Use brackets appropriatelyUse letter symbols to represent unknown

numbers or variables

23 x (4 + 9) =

(6 x 13) – 26 =

If n = 7, what is n + 12?

If 4n = 88, what does n equal?