Key Objectives Year 6 Numeracy. Multiply and divide decimals by 10 and 100, and whole numbers by...

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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 the effect

Place Value

Place Value

Order a set of positive and negative integers

97 -30 780 29 -29 0 -472 7

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

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

Fractions

Relate fractions to decimal and percentage equivalents

½ = 1/5 =

¼ = 10/10 =

¾ = 1/10 =

1/3 = 2/3 =

Fractions

Reduce a fraction to its simplest form by cancelling

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

Fractions

Find fractions of numbers or quantities

5/8 of 32

7/10 of 40

2/3 of 693

1/100 of 400cm

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

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?

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 =

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 =

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

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 =

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 =

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 =

Measures, shape and space

Use a protractor to measure angles to the nearest degree.

Measures, shape and space

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

4cm

12cm

5cm

7cm

Measures, shape and space

Find areas and volumes using formula

2cm

6cm

5cm

8cm

3cm

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

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?

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?

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?