NA2-1: Use simple additive strategies with whole numbers and fractions.
Elaboration on this Achievement Objective
This means students will learn to treat whole numbers as units of ones that can be split and recombined to make calculations easier. Additive strategies are about a type of thinking not the operation of addition. So additive strategies can be applied to addition (for example, 47 + 38 is 50 + 40 – 5), subtraction (for example, 74 – 8 = .gif){kind=small}
as 74 – 4 – 4 = ), multiplication (for example, 4 x 4 = .gif){kind=small}
as 4 + 4 + 4 + 4 = , which is 8 + 8 = .gif){kind=small}
), division (for example, 18 ÷ 3 = .gif){kind=small}
, as 5 + 5 + 5 = 15 so 6 + 6 + 6 = 18). Additive strategies may also be applied to finding fractions of sets particularly halves, thirds, quarters, fifths, eighths and tenths. Level Two corresponds to students being proficient at the Early Additive stage of the number framework.
Teaching resources for this Achievement Objective
Level Two
Integrated
Picture book activities
This is an activity based on the picture book 365 Penguins
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
The purpose of this activity is to support students in learning to apply their knowledge of basic facts and place value to solve addition and subtraction problems with multiples of ten, such as 40 + 30 and 90 - 40.
Level Two
Number and Algebra
Numeracy activities
Level Two
Number and Algebra
Numeracy activities
Level Two
Number and Algebra
The purpose of this activity is to support students learning to apply their knowledge of basic facts and place value to solve addition problems with two-digit numbers, without renaming ten ones as a ten.
Level Two
Number and Algebra
Numeracy activities
Level Two
Number and Algebra
The purpose of this activity is to support students in understanding that the digits in a three-digit whole number refer to different sized units and that these units can be added together, just like units of one.
Level Two
Number and Algebra
Problem solving activities
This problem solving activity has a number (addition and subtraction) focus.
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
Rich learning activities
The purpose of this activity is to engage students in carrying out a division, where the solution is not a whole number.
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.
Level Two
Number and Algebra
Numeracy activities
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
Picture book activities
This is an activity based on the picture book A Remainder of One
Level Two
Number and Algebra
Units of Work
In this unit students are given the opportunity to explore multiplication concepts using arrays. The use of multiple strategies and the sharing of strategies is encouraged, in group and whole class situations.
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 strand activity from the Figure It Out series. A PDF of the student activity is included.
Level Two
Integrated
Rich learning activities
The purpose of this activity is to engage students in using a non-standard unit to give a measurement involving fractions.
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
Level Two
Number and Algebra
Figure It Out activities
This is a level (2+ to 3+) mathematics in science contexts activity from the Figure It Out series. A PDF of the student activity is included.
Level Two
Number and Algebra
Numeracy activities
The purpose of this activity is to develop useful strategies for mental calculation when estimating possible addition solutions.
Level One
Level Two
Number and Algebra
This counting collections activity engages students in finding how many cars/wheels there are in a collection of toy cars.