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
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
Figure It Out activities
Number and Algebra
Level Two
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...
Units of Work
Number and Algebra
Level Two
The purpose of this unit of sequenced lessons is to develop knowledge and understanding of the place value of two-digit numbers. The purpose is also to be able to generalise from known single digit facts and apply patterns associated with these to two digit numbers to 100.
Describe representations of numbers to 100. Understand the meaning of ‘two-digit’ number. Make and record any two-digit number using equipment, symbols and words. Use knowledge of basic facts to ten to add and subtract decades to 100. Recall and apply groupings with numbers to 100. Partition...
Units of Work
Number and Algebra
Level One
The purpose of this unit of sequenced lessons is to develop knowledge and understanding of place value in three digit numbers and one thousand. 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...
Develop understanding of 3-digit numbers by composing and decomposing 100. Understand the structure of 3-digt numbers by modelling them using a range of material representations and contexts. Develop understanding of some benchmark numbers to 1000. Explore and understand the structure and size of...
Units of Work
Number and Algebra
Level Two
The purpose of this activity is to engage students in applying their number knowledge and strategies to solve a problem.
Rich learning activities
Number and Algebra
Level Two
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
Figure It Out activities
Number and Algebra
Level Two
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
Figure It Out activities
Number and Algebra
Level Two
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
Figure It Out activities
Number and Algebra
Level Two
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
Figure It Out activities
Number and Algebra
Level Two
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
Figure It Out activities
Number and Algebra
Level Two
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.
Units of Work
Number and Algebra
Level Two
This unit provides you with a range of opportunities to assess the entry level of achievement of your students.
Classify whole numbers as even or odd and generalise the nature of sums when even and odd numbers are added. Recognise that sums remain the same if the same amount is added and subtracted to the two addends, e.g. 17 + 19 = 27 + 9. Create and follow instructions to make a model made with shapes....
Units of Work
Number and Algebra
Level Two
This is an activity based on the picture book Nesta and the Missing Zero
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.
Picture book activities
Number and Algebra
Level Two
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...
Know how many ones, tens, hundreds and thousands are in numbers up to 9999.
Units of Work
Number and Algebra
Level Two
This unit supports students developing an understanding of three-digit numbers and how to operate with them.
Represent three digit whole numbers using numerals, words and materials (Place Value People 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...
Units of Work
Number and Algebra
Level Two
This unit supports students 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...
Units of Work
Number and Algebra
Level Two
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 to represent quantities. Session Three Partition (break up) 100 into two numbers using tens and ones place value. Session Four...
Units of Work
Number and Algebra
Level Two
This interactive learning module supports students to explore place value for numbers with hundreds, tens and ones.
Use equipment to make numbers with hundreds, tens and ones. Representing numbers in place value houses. Understanding the importance of the place value of digits in numbers.
Student e-Ako
Number and Algebra
Level Two
This interactive learning module supports students to explore using place value to solve addition and subtraction problems.
Understanding place value of two- and three-digit numbers. Using place value to solve addition and subtraction problems.
Student e-Ako
Number and Algebra
Level Two
This interactive learning module supports students to explore place value to four digits.
Understanding place value for numbers to four digits. Using equipment to explore place value. Using money to explore place value. Understanding the base ten nature of our number system.
Student e-Ako
Number and Algebra
Level Two
This interactive learning module supports students to explore place value to four digits, including 'exchanging' and algorithims.
Understanding place value for numbers to four digits. Understanding algorithms for addition and subtraction.
Student e-Ako
Number and Algebra
Level Two
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”
Secondary activities
Number and Algebra
Level Two
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
Figure It Out activities
Number and Algebra
Level Two
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.
Number and Algebra
Level Two
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.
Numeracy activities
Number and Algebra
Level Two