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NA2-4: Know how many ones, tens, and hundreds are in whole numbers to at least 1000.

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Elaboration on this Achievement Objective

This means students will develop an additive view of whole number place value by knowing the significance of the position of digits in a whole number, for example, in 456 the 5 means five tens. However, many strategies for computation require a nested view of place value. This means that nested in the hundreds are tens in the same way that nested in the hundreds and tens are ones, for example, 456 has 45 tens and 456 ones. An understanding of nested place value is best demonstrated by calculations where tens must be constructed from ones, hundreds constructed from tens, tens created from breaking hundreds and ones created from breaking tens. For example, calculations like 456 + 70 = box. , or 456 - box. = 396, show whether students can apply place value in this way.

 

Teaching resources for this Achievement Objective
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All that Glitters

Level Two
Number and Algebra
Figure It Out activities
This is a level 2 number activity from the Figure It Out series. It relates to Stage 5 of the Number Framework.A PDF of the student activity is included.

know number of tens in numbers up to 100

use mental strategies to add numbers

 

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Building on two-digit place value

Level Two
Number and Algebra
Units of Work
This unit supports students learning to understand the structure of two-digit numbers and how to operate with them.

Session One

  • Calculate the gains and losses in a game of Snakes and Ladders.

Session Two

  • Represent two digit numbers with play money.
  • Add and subtract two digit numbers.

Session Three

  • Use ‘up through ten’ and ‘back through ten strategies to add and subtract single digit numbers.

Session Four

  • Rename three300
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Building with tens and hundreds

Level Two
Number and Algebra
Units of Work
The purpose of this unit is to develop students' knowledge and understanding of place value in three digit numbers. In turn, students are able to generalise from known two-digit facts, apply patterns associated with these to three digit numbers to 999, and are introduced to the concept of 1000.
  • Consolidate place value understanding of 2-digit numbers.
  • Develop understanding of 3-digit numbers by composing and decomposing numbers to 1000.
  • Represent the structure of 2- and 3-digit numbers by modelling them with a range of materials.
  • Develop understanding of simple benchmark numbers to 1000.
  • Explo300
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Connecting three-digit place value with grouping

Level Two
Number and Algebra
The purpose of this activity is to support students in understanding the quantities that three-digit whole numbers represent. Students come to know that the hundreds, tens, and ones digits represent units of different sizes.
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Connecting two-digit place value with grouping

Level Two
Number and Algebra
The purpose of this activity is to support students in understanding that tens and ones digits represent units of different sizes, and that therefore represent quantities in a two-digit whole number.
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Counting sequences with three-digit numbers

Level Two
Number and Algebra
The purpose of this activity is to support students in counting fluently forwards and backwards in units of one, ten, and one hundred. They should be able to start with any three-digit number and connect counting in hundreds, tens or ones with changes in the quantity.
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Digit Time

Level Two
Number and Algebra
Figure It Out activities
This is a level 2 number activity from the Figure It Out series. It relates to Stage 5 of the Number Framework. A PDF of the student activity is included.

show understanding of ones, tens, hundreds place value

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Finding the number of tens in three-digit numbers

Level Two
Number and Algebra
The purpose of this activity is to support students in understanding that tens are nested in hundreds, and ones are nested in both tens and hundreds. They also develop fluency in renaming three-digit numbers in multiple ways.
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Fund-raising

Level Two
Number and Algebra
Figure It Out activities
This is a level 2 number link activity from the Figure It Out series. It relates to Stage 5 of the Number Framework. A PDF of the student activity is included.

know how many tens are in whole numbers

use place value knowledge to add tens numbers

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How Old?

Level Two
Number and Algebra
Figure It Out activities
This is a level 2 number activity from the Figure It Out series. It relates to Stage 5 of the Number Framework.A PDF of the student activity is included.

investigate "teen" and "ty" numbers

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Important Places

Level Two
Number and Algebra
Figure It Out activities
This is a level 2 number activity from the Figure It Out series. It relates to Stage 5 of the Number Framework.A PDF of the student activity is included.

show understanding of place value using blocks and abacus

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Jungle Land

Level Two
Number and Algebra
Figure It Out activities
This is a level 2 number link activity from the Figure It Out series. It relates to Stage 5 of the Number Framework. A PDF of the student activity is included.

use place value knowledge to add

add and subtraction hundreds and tens numbers to 1000

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Make 1000

Level Two
Number and Algebra
Units of Work
In this unit the students form collections of 1000 objects. In doing this they examine the relationship between 1000 and smaller numbers, specifically 100 and 10.
  •  Develop an understanding of 1000 and the quantity for which it stands.
  •  Understand the relationship between 1000, 100 and 10.
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Multiplying by ten

Level Two
Number and Algebra
The purpose of this activity is to support students in multiplying by ten to find an amount ten times bigger than a given amount.
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Nesta and the Missing Zero

Level Two
Number and Algebra
Picture book activities
This is an activity based on the picture book Nesta and the Missing Zero. This book may no longer be available for purchase.
  • Students will be able to identify the impact on the value of a whole number when a zero is a place holder (for example 35 vs 305).
  • Students will be able to accurately read numbers to at least 1000.
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One and ten more or less with two-digit whole numbers

Level Two
Number and Algebra
The purpose of this activity is to support students in counting fluently forwards and backwards in units of one or ten. They should be able to start with any two-digit number and connect counting in tens or ones with changes in the quantity.
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Place value people

Level Two
Number and Algebra
Units of Work
This unit supports students in developing an understanding of three-digit numbers and how to operate with them.
  • Represent three digit whole numbers using numerals, words and materials.
  • Count in ones, tens and hundreds from a given three digit number.
  • Find the difference between two three digit whole numbers.
  • Use place value units of hundreds and tens to make estimates of the number of people in a crowd.
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Place value to four digits

Level Two
Number and Algebra
Units of Work
This unit supports students in developing an understanding of four-digit numbers and how to operate with them.

Session One

  • Represent four digit numbers using Place Value People and as compact and expanded numerals.

Session Two

  • Apply place value to change a four digit number to a target number by addition or subtraction.

Sessions Three and Four

  • Rename four digit numbers in flexible ways.

Session Five

  • Know the number300
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Place value with two-digit numbers

Level Two
Number and Algebra
Units of Work
This unit supports students learning to understand the structure of two-digit numbers and how to operate with them.

Session One

  • Group a set of objects in tens to aid in counting the objects.

Session Two

  • Recognise how many tens and ones are in a given collection.
  • Read two-digit numbers used to represent quantities.

Session Three

  • Partition (break up) 100 into two numbers using tens and ones place value.

Session Four

  • Rename300
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Rounding: closest to

Level Two
Number and Algebra
Secondary activities
This exercise is for students to use independently of the teacher to practice number properties.

round to the nearest ten or hundred

use the sign that means “approximately equals”

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Shaker Makers

Level Two
Number and Algebra
Figure It Out activities
This is a level 2 number activity from the Figure It Out series. It relates to Stage 5 of the Number Framework.A PDF of the student activity is included.

investigate "teen"  and "ty" numbers

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Show Me the Number

Level Two
Number and Algebra
Numeracy activities
The purpose of this activity is to develop students’ ability to show two-digit numbers using place value material.

show two-digit numbers using place value material.

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Show Me the Number

Level Two
Number and Algebra
The purpose of this activity is to develop students’ ability to show two-digit numbers using place value material.

Show two-digit numbers using place value material.

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Slavonic Abacus

Level Two
Number and Algebra
Numeracy activities

Recall the number of tens and hundreds in 100s and 1000s.

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Something's Hiding!

Level Two
Number and Algebra
Numeracy activities
In this activity the purpose is to find out how many tens and ones blocks are hidden from a given total.

solve subtraction problems