This unit uses one of the digital learning objects, Place Value Blocks, to support students as they investigate the place value of numbers up to 9999. The numbers are represented using place value blocks.

The knowledge section of the New Zealand Number Framework outlines the important items of knowledge that students should learn as they progress through the strategy stages. This unit of work and the associated learning object are useful for students at stage 5, Early Additive Part-Whole, of the Number Framework.

- Know how many ones, tens, hundreds and thousands are in numbers up to 9999.

The learning object allows students to explore how many ones, tens, hundreds and thousands are in numbers up to 9999. Students can rearrange numbers, for example 258 can be represented with 2 hundreds, 5 tens and 8 ones, or as 25 tens and 8 ones.

This unit of work and the associated learning object are useful for students at stage 5, Early Additive Part-Whole, of the Number Framework. It fits in the grouping/place value domain of the knowledge section.

It can be used by both the teacher to support teaching and independently by students to explore place value concepts.

#### The learning object

The learning object, Place Value Blocks, can be accessed from the link below.

#### Prior to using the Place Value Blocks learning object

The number strategies unit Modeling Numbers: 3 digit numbers and its associated learning object, Modeling Numbers: 3 digit numbers are also related to this unit.

#### Working with the learning object with students (Exploring the learning object)

Show students the learning object and explain that it provides a model for representing numbers using place value equipment.

#### Working with the learning object with students (Find how many tens, hundreds, thousands in numbers)

**Notes regarding working with place value equipment. **

#### Students working independently with the learning object.

**Worksheet**** 1 (see copymaster)**. Types of questions:

- Use the learning object to make a hundreds number in two different ways. For example 572 can be made with 5 hundreds, 7 tens and 2 ones, or with 47 tens and 2 ones.
- How many tens are in hundreds numbers? Use the learning object then try without it.
- How many hundreds are in thousands numbers? Use the learning object then try without it.
- How many tens are in thousands numbers? Try without using the learning object.

**Worksheet 2 (see copymaster).** Types of questions:

- What is the total of 14 tens? Students use the learning object then answer questions without it.
- Make these numbers with the learning object: 243 = 0 hundreds + ___ tens + ___ones.
- What is the total number? For example, 3 hundreds + 12 tens + 4 ones = ____.
- What is the total number of tens in these numbers. For example 253 = ___tens.

Students use the learning object, then try more questions without the learning object. - What is the total number? For example 65 tens = ____.

Students work without the learning object.

**Worksheet 3 (see copymaster).** Students use the learning object then work without it. Types of questions:

- Place value strategies for addition. For example, 43 + 15 = ____ + _____ = _____
- Place value strategies for addition. For example, 37 + 24 = ____ + _____ = _____
- Place value strategies for subtraction. For example, 58 + 12 = ____ + _____ = _____

**Worksheet 4 (see copymaster).** Students use the learning object then work without it.

Types of questions:

- Tidy number strategy for addition. For example, solve 137 + 6 by 137 + 10 - 7 = ____.
- Tidy number strategy for subtraction. For example, solve 142 - 8 by 142 - 10 + 2 = ____.

Dear Family,

This week we have been using Place Value Blocks learning object. This enables us to represent numbers up to 999 using place value material. Ask your child to read numbers up to 999, for example letter box numbers, 3 digit licence plates, numbers in the newpaper.