Short Blocks

Maths Year 4 Autumn Place Value (B)

Each unit has everything you need to teach a set of related skills and concepts. 'Teaching for Understanding' provides whole-class teaching and fully differentiated adult-led group activities. ‘Problem-solving and Reasoning’ develops these skills, and includes questions to enable you to assess mastery. Practice sheets ensure procedural fluency. 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 associated documents. These bulk downloads are added value for Hamilton Friends and School Subscribers.

Unit 1 Deepen understanding of place value (suggested as 2 days)

Objectives

Use place value grid
Write place value additions and subtractions

Unit 4: ID# 4139

National Curriculum
Num/PV (ii) (vi) (viii)

Hamilton Objectives
3. Understand the numbers of 1s, 10s, 100s, 1000s in a 4-digit number and the use of zero as a place holder.
6. Add or subtract multiples of 1, 10, 100, 1000.

Teaching and Group Activities for Understanding

Day 1 Teaching
Children draw a PV grid on their boards and write 3036. They add 200 and record the addition. Then subtract 30, recording this.
Group Activities
-- Do place value additions and subtractions with 4-digit numbers, changing 1, 2 or 3 digits at a time.
Day 2 Teaching
Display Place Value Mystery, explain that children need to use place value addition or subtraction to fill in the missing number and function in the chain.
Group Activities
Use the in-depth problem-solving investigation ‘Nice or Nasty’ from NRICH as today’s group activity.
Or, use these activities:
-- Find missing numbers in place value additions and subtractions.

You Will Need

  • Whiteboards
  • Place value cards
  • Place Value Mystery 1, 2 and 3 (see resources)
  • Post-it notes
  • Place Value Mystery blank sheets (see resources)

Procedural Fluency

Day 1
Solve mystery place value additions and subtractions.

Day 2
Solve place value additions and subtractions with missing numbers.

Mastery: Reasoning and Problem-Solving

  • Write the missing numbers:
    [____] + 4040 = 9099
    6166 – [____] = 6001
  • Draw a place value grid. Use digits 9 and 0 (you must use at least one of both) to create the largest and smallest 4-digit numbers possible. Use the same digits to write two numbers in between.
  • What is the largest possible 4-digit number whose digits add to 10? It must not contain a 0 and no two digits are the same. What is the smallest possible number like this?


In-depth Investigation: Nice or Nasty
Choose a game to explore PV in 4-digit numbers. Will you be nice or nasty to your opponent?! Nice or Nasty from nrich.maths.org.

Extra Support

The Number Thief
Place value in 3-digit-numbers
Place value adding and subtracting

Unit 2 Add/subtract powers of 10, nos > 1000 (suggested as 3 days)

Objectives

Add and subtract multiples of 1, 10, 100, 1000
Unit 5: ID# 4153

National Curriculum
Num/PV (ii) (iv) (viii)

Hamilton Objectives
3. Understand the numbers of 1s, 10s, 100s, 1000s in a 4-digit number and the use of zero as a place holder.
6. Add or subtract multiples of 1, 10, 100, 1000.

Teaching and Group Activities for Understanding

Day 1 Teaching
Children write 4-digit numbers from dictation. Instruct them to add/subtract multiples of 10, 100 and 1000 and read out answer.
Group Activities
-- Roll a dice to add multiples of 1, 10, 100 and 1000 to 4-digit numbers. Add 10s and 100s in the context of centenaries and birthdays.

Day 2 Teaching
Take away multiples of 10, 100 and 1000 from a 4-digit number.
Group Activities
Use the ‘Tell the Teacher’ in-depth problem-solving investigation below as today’s group activity.
Or, use these activities:
-- Roll a dice to subtract multiples of 10 or 100 from 4-digit numbers. Use addition and subtraction to change digits in 4-digit numbers.

Day 3 Teaching
Give instructions: Think of a 4-digit number, write it down. Add 400, subtract 50, add 70, subtract 200, subtract 20, subtract 200, add 5. Write down your answer on the other side of your whiteboard. Children show whiteboards. Repeat.
Group Activities
-- Create adding and subtracting chains using inverse operations.

You Will Need

  • 1-6 dice
  • 0-9 dice
  • Calculators
  • A3 paper
  • Whiteboards

Mental/Oral Maths Starters

Day 1
Count on/back in steps of 100 (pre-requisite skills)

Day 2
Count/back in steps of 10 (pre-requisite skills)

Suggested for Day 3
6 times table (simmering skills)

Procedural Fluency

Day 1
Count on and back in 10s, 100s or 1000s.

Day 2
Complete sequences adding and subtracting multiples of 10, 100 and 1000.
Find missing numbers in subtraction grids.

Day 3
Find missing multiples of 10, 100 and 1000 in additions and subtractions.

Mastery: Reasoning and Problem-Solving

  • Complete this sequence by adding 30 each time.
    2467, ______, ______,
    ______, 2587
  • What needs to be subtracted from 3987 to get 2345?
  • Do 3 identical subtractions to get from 3265 to 2365.
    What number are you subtracting?
  • Write the missing digits:
    6☐56 + 134 = 70☐0


In-depth Investigation: Tell the Teacher
Children consider whether given calculations are harder or easier and work out a scoring system.

Extra Support

Tens Chains
Adding and subtracting 10s to and from 3-digit numbers

Unit 3 Use place value in calculations (suggested as 2 days)

Objectives

Revise place value in 4-digit numbers and use place value in calculations
Unit 6: ID# 4159

National Curriculum
Num/PV (vi) (v) (viii)

Hamilton Objectives
1. Read, write and locate any 3-digit number on a landmarked line from 0-1000; use this to Locate 4-digit numbers on a landmarked line and use this to compare/order numbers.
6. Add or subtract multiples of 1, 10, 100, 1000

Teaching and Group Activities for Understanding

Day 1 Teaching
Ask children to draw lines and mark numbers. Discuss numbers at the beginning and end of lines and how it is possible to zoom in on a number line.
Group Activities
Use the ‘Round the Four Dice’ in-depth problem-solving investigation below as today’s group activity.
Or, use these activities:
-- Mark 4-digit numbers on a landmarked line between the relevant multiples of 100 or 10.
Day 2 Teaching
Write 4375; children subtract 305 recording on w/bs. Children explain why this is a ‘no work’ calculation. Repeat. Children add 202 to 4375, recording on w/bs. Subtract 1002. Repeat with other numbers.
Group Activities
-- Use place value to identify which number has been added/subtracted to/from 4-digit numbers.
-- Make number chains by adding and subtracting a series of numbers to and from a 4-digit number.

You Will Need

  • Whiteboards
  • Pieces of paper

Mental/Oral Maths Starters

Day 1
Place 3-digit numbers on an empty number line (pre-requisite skills)

Day 2
Order 4-digit numbers (pre-requisite skills)

Procedural Fluency

Day 1
Locate 4-digit numbers on a number line.
Identify which 4-digit numbers are marked on a landmarked number line.

Day 2
Use place value to add and subtract with 4-digit numbers.

Mastery: Reasoning and Problem-Solving

  • Mark 8650 accurately on an 8000 to 9000 line.
  • If a number line has 2500 as its halfway mark, what thousands numbers could be at the beginning and end of the line?
  • You need to draw a line with these numbers marked: 100, 2600, 3850, and 4500. What are sensible numbers to have at the beginning and end of your line?
  • 904 is added to a number. The total is 3006. What is the number?


In-depth Investigation: Round the Four Dice
Explore 4-digit combinations; round to the nearest 1000, 100 and 10. Round the Four Dice from nrich.maths.org.

Extra Support

Round the Clock
Using place value to add and subtract

100s Neighbours
Placing 3-digit numbers on landmarked lines