NA2-4: Know how many ones, tens, and hundreds are in whole numbers to at least 1000.
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 = .gif){kind=small}
, or 456 - = 396, show whether students can apply place value in this way.
Teaching resources for this Achievement Objective
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.
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.
Level Two
Number and Algebra
Units of Work
The purpose of this unit is to develop knowledge and understanding of place value in three digit numbers. It is also to enable students to generalise from known two-digit facts, apply patterns associated with these to three digit numbers to 999, and to introduce 1000.
Level Two
Number and Algebra
The purpose of this activity is to support students to understand the quantities that three-digit whole numbers represent. Students come to know that the hundreds, tens, and ones digits represent units of different sizes.
Level Two
Number and Algebra
The purpose of this activity is to support students to understand the quantities that two-digit whole numbers represent. Students come to know that the tens and ones digits represent units of different sizes.
Level Two
Number and Algebra
The purpose of this activity is to support students to count 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.
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.
Level Two
Number and Algebra
The purpose of this activity is to support students to understand 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.
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.
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.
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.
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.
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.
Level Two
Number and Algebra
The purpose of this activity is to support students to use multiplication by ten to find an amount ten times bigger than a given amount.
Level Two
Number and Algebra
Picture book activities
This is an activity based on the picture book Nesta and the Missing Zero
Level Two
Number and Algebra
The purpose of this activity is to support students to count 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.
Level Two
Number and Algebra
Units of Work
This unit supports students developing an understanding of three-digit numbers and how to operate with them.
Level Two
Number and Algebra
Units of Work
This unit supports students developing an understanding of four-digit numbers and how to operate with them.
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.
Level Two
Number and Algebra
Secondary activities
This exercise is for students to use independently of the teacher to practice number properties.
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.
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.
Level Two
Number and Algebra
The purpose of this activity is to develop students’ ability to show two-digit numbers using place value material.
Level Two
Number and Algebra
Numeracy activities
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.