# Maths Year 6 Autumn PV, Addition and Subtraction

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

## Place value in 6-digit numbers(suggested as 2 days)

### Planning and Activities

Day 1 Teaching
Model writing 6-digit numbers dictated in words and show the place value of each digit using a place value chart. Add/subtract of powers of 10.
Group Activities
-- Select a digit from a 6-digit number and write its value. Repeat with other digits. Check by adding.
-- Eliminate digits from a 6-digit number, 1 or 2 at a time, using numbers based on a dice roll.
-- Write a 6-digit number and make it into 555,555 by adding/subtracting numbers of up to 6 digits.

Day 2 Teaching
Start with a 6-digit number and add/subtract 1s, 10s, 100s, 1000s, 10,000s and 100,000s. Add and subtract multiples of these powers of 10.
Group Activities
Use the in-depth problem-solving investigation ‘Activity Set A’ from NCETM.org.uk as today’s group activity.
Or, use these activities:
-- Write a 6-digit number and make it into 555,555 by adding or subtracting 1s, 10s, 100s, 1000s, 10,000s and 100,000s.
-- Make 999,999, by adding 1s, 10s, 100s, 1000s, 10,000s and 100,000s based on a dice roll. Repeat for subtraction to make 111,111.
-- ’Spend’ £999,999 by subtracting 6-digit numbers based on a dice roll. Make a million by adding two 6-digit numbers.

### You Will Need

• Vertical place value chart (see resources)
• Coloured pencils, sheets of plain paper
• 0–9 dice
• 6 packs of 10 digit cards, showing 0–9
• 1–6 dice

### Mental/Oral Maths Starters

Day 1
Order 5-digit numbers (pre-requisite skills)

Day 2
Count in steps of 1 though multiples of 100, 1000, 10,000 and 100,000 (pre-requisite skills)

### Worksheets

Day 1
Write and complete place value number sentences (with extensions and challenges).

Day 2
Use place value and mental skills to practise 5- and 6-digit additions and subtractions.

### Mastery: Reasoning and Problem-Solving

• Sketch a line 0–1,000,000. Teacher marks a mystery number (e.g. 400,000). What number have I marked? Children ask questions to find the number. Repeat.
• What is the smallest number between 800,000 and 900,000 which has just four digits all the same and no zero?
• How many numbers between 100,000 and 200,000 contain exactly four 9s?
• Add 1, 10 or 100 each go. How many goes to turn 98,089 into 99,999?
• For a real-life problem, see final question (6) on day 1, practice sheet 2.

In-depth Investigation: Activity Set A
Choose an activity to explore PV in six-digit numbers. Activity Set A from ncetm.org.uk

### Extra Support

Pick 'n' Mix My Digits
Place value in 5-digit numbers; Adding and subtracting 1, 10, 100, 1000, 10,000