Short Blocks

Maths Year 3 Summer Place Value

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 PV in 4-digit numbers (suggested as 3 days)

Objectives

Begin to read, write and understand place value in 4-digit numbers
Unit 1: ID #3931

National Curriculum
Num/PV (ii) (v)
Meas (iii)

Hamilton Objectives
2. Estimate quantities and represent numbers in different ways.
5. Solve number problems and practical problems involving place value.
3. Understand place value in 3-digit numbers; add/subtract 1, 10, 100 without difficulty.

From Y4
1. Begin to read, write and locate 4-digit numbers on a landmarked line from 0-1000 and use this to order and compare numbers.

Teaching and Group Activities for Understanding

Day 1 Teaching
Write numbers 990, 991, 992…999, 1000. What number comes next? Show how this is written 1001. Continue 1002, 1003… 1010. Show the partially completed 1001 to 1100 grid and point to one of the gaps. Children write the missing number on whiteboards. Point to other numbers on the grid. Children say the number, then ask, e.g. What is 10 more than 1073?
Group Activities
Use the in-depth problem-solving investigation ‘Coded Hundred Square’ from NRICH as today’s group activity.
Or, use these activities:
-- Find missing numbers on a 1001-1100 number grid.
-- Give clues for a mystery number on a 1001-1100 number grid.

Day 2 Teaching
Show 346, then 1346 made using 1000s, 100s, 10s, 1s place value cards. Model writing a PV addition, i.e. 1000 + 300 + 40 + 6. So, 1346 is like 346 but with a 1000 added. Show the 1000 card; discuss how the other 3 cards cover the 3 zeroes. Give each pair a set of place value cards and call out numbers for them to make/ write PV additions for.
Group Activities
-- Make 4-digit numbers using given thousands, hundreds, tens and ones.
-- Make 4-digit numbers using place value cards.

Day 3 Teaching
Show a landmarked number line 0-10,000 with thousands marked. Children work in 3s to write a 4-digit number ending in 0. Ask a group to read theirs. Demonstrate marking it on the line. Choose a group whose number comes in a different 1000s interval and model marking it on the line. Repeat.
Group Activities
-- Make 4-digit numbers and place on a landmarked line 0-10,000.
-- Make two 4-digit numbers and find 5 numbers that lie between them.

You Will Need

  • ‘Fill in the missing numbers’ sheet 1 (see resources)
  • Mini-whiteboards and pens
  • Place value cards
  • ‘Fill in the missing numbers’ sheets 2 and 3 (see resources)
  • 1001-1100 grid (see resources)
  • Additional activity sheets (see resources)
  • 0 – 9 Dice

Mental/Oral Maths Starters

Day 1
Add 100 or1000 (pre-requisite skills)

Suggested for Day 2
Add and subtract multiples of 10 or 100 (simmering skills)

Suggested for Day 3
Add and subtract multiples of 10p (simmering skills)

Procedural Fluency

Day 1
Answer questions about numbers on a 1001-1100 number grid (differentiated grids provided).

Day 2
Write 4-digit numbers as place value additions. Find as many different numbers as you can using the same 4 digits, then order them.

Day 3
Place given pairs of 4-digit numbers on a number line and find numbers in between.

Mastery: Reasoning and Problem-Solving

  • Write these numbers in figures:
    (i) Two thousand, five hundred and sixty one.
    (ii) Six thousand, one hundred and seventy.
    (iii) Nine thousand and ninety two.
    (iv) Three thousand and three.
  • Mark these numbers on a 0 to 10,000 landmarked line:
    (a) 4,500
    (b) 6,850
    (c) 7,090
    (d) 400
  • Write the missing numbers
    1000 + 600 + 30 = ☐
    ☐ + 500 + 10 + 4 = 4514
    2000 + 200 + 2 = ☐
    6 + ☐ + 200 + 6000 = 6226

In-depth Investigation: Coded Hundred Square
Can you piece together the coded hundred square? Coded Hundred Square from nrich.maths.org.

Extra Support

Triple Totals
Partitioning 3-digit numbers, and combining 100s, 10s and 1s to make 3-digit numbers