Maths Year 5/6 Spring PV, Addition and Subtraction

In the Spring term, it is likely you will begin to think about more formal SATs preparation for your Year 6s. While this revision will be driven by the specific needs of the children in your class, we hope to help by providing a set of SATs-style questions to accompany each Spring term unit: 'Y6 SATs Practice' is an additional 'Teaching & Group Activities' download.

Each unit still has everything you need to teach a set of related skills and concepts for the whole class: 'Teaching & Group Activities' provides a plan for whole-class teaching; a 'Slide Presentation' brings this teaching to life on the IWB. Fully-differentiated adult-led group activities follow, allowing for small-group personalised learning, where you may deal with children's 'Common Misconceptions'. Fluency can be rehearsed with our 'Practice Sheets', or learning checked with the 'Mastery Activity'. 'Extra support' activities enable targeted work with children who are well below ARE.

‘UNIT PLAN’ gives you a text version of all parts of the unit to use in your school planning documentation. ‘DOWNLOAD ALL FILES’ gives you that unit plan plus all of the associated documents. These bulk downloads are only available to Hamilton Friends and School Subscribers.

Place value (suggested as 4 days)

Planning and Activities

Day 1 Teaching
Discuss how to write and say 6-digit numbers. Build numbers using place value chart. Generate 6-digit numbers by rolling a dice and create an inequality. Discuss how to write 7-digit numbers. Write a number between two 7-digit numbers.
Group Activities: T with Y5
Use the in-depth problem-solving investigation ‘Lost Digit’ as today’s group activity.
Or, use these activities:
Y5 -- Compare and use place value to subtract from 6-digit numbers; Use place value subtraction to ‘zap’ each digit in a 6-digit number.
Y6 -- Use dice rolls to construct and subtract from 7-digit numbers. Order 7-digit numbers with consecutive digits.

Day 2 Teaching
Use the Interactive Whiteboard calculator’s constant function to repeatedly add then subtract 1, 10, 100, 1000, 10,000 and 100,000 to 6-digit numbers. Check that children can cross the place value ‘boundaries’ when adding powers of ten.
Further Teaching with Y6
As above but beginning with 7-digit numbers.
Group Activities: T with Y6
Y5 -- Subtract and/ or add 1, 10, 100, 1000, 10,000 and 100,000 to 6-digit numbers.
Y6 -- Use dice rolls to add/subtract 1, 10, 100, 1000, 10,000, 100,000 or 1,000,000 from 5,000,000. Turn a 7-digit number into 5,555,555 by adding and subtracting multiples of 1, 10, 100, 1000, 10,000, 100,000 and 1,000,000.

Day 3 Teaching
Place 6-digit numbers on landmarked lines and round to the nearest 100,000, 1000 and 100.
Further Teaching with Y6
Place 7-digit numbers on lines and round to the nearest 1,000,000, 100,000 and 10,000.
Group Activities: T with Y6
Y5 -- Place 6-digit numbers on landmarked or empty lines; round to the nearest 100 and 1000.
Y6 -- Mark numbers on a 2,000,000 to 3,000,000 landmarked line and round them. Round 7-digit numbers to the nearest 100, 1000, 10,000, 100,000 and 1,000,000.

Day 4 Teaching
Demonstrate how to use ‘add and adjust’ strategies to add ‘nearly numbers’, such as 4735 + 203, 4735 + 197, 4735 + 1995, 465 + 299, 4.65 + 2.99. Repeat to ‘subtract and adjust’ for subtraction of nearly numbers, e.g. 4735 – 705, 4735 – 197, 4735 – 1995, 6.25 – 1.98, 4.21 – 3.02.
Group Activities: T with Y5
Y5 -- Use place value to add and subtract multiples and near multiples of 100 and 1000.
Y6 -- Choose pairs of numbers to add and subtract, using an ‘add/subtract and adjust’ strategy, including some decimals.

You Will Need

  • Vertical place value chart (see resources)
  • 1–6 and 0–9 dice
  • Calculators
  • Interactive whiteboard calculator
  • Landmarked lines (see resources)
  • Sticky notes
  • 0–9 digit cards
  • 250,000–260,000 landmarked lines with 1000s labelled (see resources)
  • Landmarked line from 2,000,000 to 3,000,000 (see resources)
  • Mental addition and subtraction activity sheets 1 and 2 (see resources)
  • SATs-style questions (see download)

Short Mental Workouts

Day 1
Double 2-digit numbers

Day 2
Count on/back in 10s, 100s, 1000s and 10,000s from 5-digit numbers

Day 3
Place value in 6-digit numbers

Day 4
Add and subtract near multiples of 10, 100 and 1000 to/from 4-digit numbers

Worksheets

Day 1
Y5: Write 6-digit numbers with digits of given values.
Write missing digits in numbers to create ascending/descending lists of 6-digit numbers.
Y6: Compare and order numbers, including use of > and <.

Day 2
Y5: Add and subtract 1, 10, 100, 1000, 10,000 and 100,000; preserve inequalities.
Y6: Use place value to add and subtract from large numbers.

Day 3
Y5: Place 6-digit numbers on lines and round to the nearest 100 or 1000.
Y6: Round numbers to the nearest 1,000,000, 100,000, 10,000 and 1,000.

Day 4
Y5: Add and subtract from 4- and 5-digit numbers:
- using place value;
- recognising near multiples of 100, 1000 and 10,000.
Y6: Add and subtract from whole numbers and decimals:
- using place value;
- recognising near multiples.

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.
    199,009 add 1000 is 201,009.
    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:
    -- ten thousand
    -- thousand
    -- hundred
    -- ten
  • What is the smallest number between 800,000 and 900,000 which has just four digits all the same and no zero?

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
  • Draw a line from 3,000,000 to 4,000,000. Mark the halfway point. Mark two numbers that round to 3,000,000. Mark two numbers that round to 3,500,000 as the nearest 100,000.

In-depth investigation: Lost Digit
Children explore place value in 6-digit numbers through finding digit sums and ‘casting out nines’.

Extra Support

Y5: Back to the Start
Adding/ subtracting 1, 10, 100 and 1000 to/from 4-digit numbers (not crossing 10s, 100s or 1000s).

Line ‘em Up
Placing 4-digit numbers on landmarked lines.

Y6: Dicey Decisions
Understanding place value in 4-digit and 5-digit numbers; Comparing 4-digit numbers and 5-digit numbers.

Zoom Zoom
Rounding 5-digit numbers to the nearest 100, 1000 and 10,000.