# Maths Year 5/6 Summer Revision

Each unit has everything you need to teach a set of related skills and concepts.

## Numbers and place value(suggested as 2 days)

### Planning and Activities

Day 1
Locate on lines, compare and order negative and positive numbers. Count in steps back through zero on lines.
Further Teaching with Y6
Write pairs of numbers between –10 and 10 with a difference of 7. Create today’s ‘Top tip for tests’.
Group Activities: T with Y6
Y5 -- Play a game to practise counting back through 0 to –20 and beyond.
-- Repeatedly subtract from the first number in a given pair to exactly reach the second.
Y6 -- Sketch number lines to help solve word problems using positive and negative numbers.
-- Find the difference between pairs of 2-digit numbers, one of them negative.

Day 2
Children estimate a mystery number marked on a 200,000 to 300,00 line, zooming in on sections. Round to the nearest 100,000, 10,000 and 1000. Repeat with a line between 500,000 and 600,000.
Further Teaching with Y6
Children use digits 1 to 7 to make whole numbers between 3 million and 4 million. Ask them to hold up numbers according to digits in given positions. Some children place their numbers on a 3,000,000 to 4,000,000 line. Children write numbers which round up/down to 6,000,000. End with today’s ‘Top tip for tests’.
Group Activities: T with Y6
Y5 Use the in-depth problem-solving investigation ‘Lost digit’ as today’s group activity.
Or, use these activities:
-- Sketch number lines to help round population figures to the nearest 10,000 and 100,000.
-- Play bingo games rounding 6-digit numbers to the nearest 100,000, 10,000, then 1000.
Y6 -- Complete rounding and place value problems.

### You Will Need

• ITP Number Line
• Counting stick
• ‘–20 to 20 number lines’ (see resources)
• 1–6 dice
• ‘Negative numbers’ (see resources)
• 0–9 digit cards
• Mini-whiteboards and pens
• ‘Rounding’ (see resources)
• ‘0–1,000,000 landmarked line’ (see resources)
• ‘Place value and rounding’ sheets 1 and 2 (see resources)

### Short Mental Workouts

Day 1
Count back through 0

Day 2
Place value in 6-digit numbers

### Worksheets

Day 1
Y5: Compare and order negative and positive numbers; count back in steps through 0.
Y6: Answer questions about negative numbers in the context of temperature, then find pairs of numbers with a given difference.

Day 2
Y5: Round population figures to the nearest 100,000, 10,000 and 1000.

### Mastery: Reasoning and Problem-Solving

Y5

• True or false?
10 more than 99,999 is 100,090.
100 less than 202,020 is 201,920.
You add 10,000 to 105,432 five times to get 150,432.
• Sketch a line between two multiples of 100,000. Mark the appropriate 10,000s. Choose an adjacent pair of numbers and mark the midpoint between them.
• Write a number that rounds to 40,000 as the nearest 10,000 and to 35,000 as the nearest 1000.
• Round 49,949 to the nearest 10,000, 1000, 100 and 10.

Y6

• Fill in the missing digits:
384,☐79 < 384,0☐9
1,0☐0,841 > 1,040,996
• Complete the place value subtractions.
(a) 1,249,541 – [_____] = 1,240,501
(b) 673,890 – [_____] = 70,090
(c) 2,951,159 – [_____] = 2,050,050
• Anna calculated a difference of 13 between two numbers. One of the numbers was 5. What was the other number?
• Timmy calculated a difference of 17 between two numbers. One of them was negative. What were his two numbers?

Y5 In-depth investigation: Lost digit
Children explore 6-digit numbers using a procedure based on reduced numbers (casting out nines).

### Extra Support

Y5: Out at Sea
Understanding negative numbers.