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NA2-6: Communicate and interpret simple additive strategies, using words, diagrams (pictures), and symbols.

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Elaboration on this Achievement Objective

This means students will be able to use words, symbols and diagrams to explain their number strategies to others. Recording also allows students to think through solutions to problems and allows them to reduce their working memory load by storing information in written form. This is particularly important for the solving of complex, multi-step problems. Students should be able to write the numerals for whole numbers, to 1000, and simple fractions. They should also be able to write addition, subtraction, multiplication and division equations with understanding of the meaning of these operations and of the equals sign as meaning “equal to”. Similarly they should know which operation to perform on a calculator if the numbers are beyond their mental range. Students should also be familiar with using empty number lines to record addition and subtraction strategies and of drawing arrays to record simple multiplication and division strategies. Formal written algorithms for multi-digit addition and subtraction should not be taught at Level Two until students have the place value knowledge required to understand them.

 

Teaching resources for this Achievement Objective
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Adding Adders

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

know addition facts

write additon facts as equations, e.g 2 + 7 = 

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A long dinner

Level Two
Number and Algebra
Rich learning activities
The purpose of this activity is to engage students in identifying a (simple linear) pattern and using this to solve a problem.
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An even spread

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.
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Balancing Act

Level Two
Number and Algebra
Figure It Out activities
This is a level 2 algebra strand activity from the Figure It Out series.A PDF of the student activity is included.

interpret diagrams that represent equations

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Cars, cars, cars

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.
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Compatible numbers to 20

Level Two
Number and Algebra
Secondary activities
These exercises and activities are for students to use independently of the teacher to practice number properties. Some of these activities would be suitable for homework. Others require follow-up during teaching sessions.
know compatible numbers to 20
use , >, = symbols
solve addition problems using addition basic facts to 20
solve word problems using basic facts
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Compatible numbers to ten

Level One
Level Two
Number and Algebra
Secondary activities
These exercises and activities are for students to use independently of the teacher to practice number properties. Some of these activities would be suitable for homework. Others require follow-up during teaching sessions.
know compatible numbers to 10
use , >, and = symbols
solve addition problems using compatible numbers to 10
solve word problems using basic facts
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Count it (years 1-3)

Level One
Level Two
Number and Algebra
This counting collections activity engages students in counting a collection of objects.
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Count it (years 4-6)

Level Two
Level Three
Number and Algebra
This counting collections activity engages students in counting a collection of objects.
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Covering our bases

Level Two
Level Three
Level Four
Number and Algebra
This counting collections activity engages students in finding the number of studs on a Lego (or similar) baseplate.
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Crunch Machine

Level Two
Number and Algebra
Figure It Out activities
This is a level 2 algebra strand activity from the Figure It Out series.A PDF of the student activity is included.

solve basic facts

select operation symbols ( +, -, x, ÷) to complete an equation

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Cuisenaire mats

Level Two
Number and Algebra
Units of Work
In this unit ākonga use Cuisenaire rods to make 'number mats' that illustrate a variety of numerical patterns and can be visually appealing. Ākonga formally record the number relationships in the mat. This unit is based on the assumption that the small white cube is one. There are many ways...
  • Use addition and multiplication to find number combinations that 'make' a given result.
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Equal Shmequal

Level One
Level Two
Number and Algebra
Picture book activities
This is an activity based on the picture book Equal Shmequal
  • Students will be able to explain their understanding of fair and equal.
  • Students will be able to record the results of tug of war contests and see-saw balancing in diagrams and symbolic forms.
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Figure this

Level Two
Number and Algebra
Problem solving activities
This problem solving activity has an algebra focus.
  • Use the > = symbols to describe relationships.
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Finding a Balance

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

using pictures explore the idea of equality in equations

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Find the Spot

Level Two
Number and Algebra
Figure It Out activities
This is a level 4 geometry strand activity from the Figure It Out series. A PDF of the student activity is included.

use compass bearings to describe positions

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Flower Power

Level Two
Number and Algebra
Figure It Out activities
This is a level 2 algebra strand activity from the Figure It Out series.A PDF of the student activity is included.

select an operation symbol to complete an equation

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Hip Hup Hop

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.

use a mental strategy (through tens) for addition and subtraction problems

show a strategy on a number line

write a number sentence

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How many pieces? (years 4-6)

Level Two
Level Three
Level Four
Integrated
This counting collections activity engages students in finding the number of sheets in a roll of toilet paper.
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How old?

Level Two
Number and Algebra
Problem solving activities
This problem solving activity has an algebra focus.
  • Write and talk about number sentences using =, , >.
  • Make simple deductions.
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It's not Fair

Level Two
Number and Algebra
Figure It Out activities
This is a level 2 algebra activity from the Figure It Out series.A PDF of the student activity is included.

write a number sentence

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I wonder

Level One
Level Two
Number and Algebra
This counting collections activity engages students in predicting and then identifying the number of lollies dispensed by a vending machine.
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Number families and relationships

Level Two
Number and Algebra
Units of Work
The purpose of this unit of three lessons is to develop an understanding of how the operations of addition and subtraction behave and how they relate to one another.
  • Recognise three numbers that are related through the operations of addition and subtraction.
  • Recognise that there are two related addition and two subtraction equations in a ‘family of facts’.
  • Write and read sets of related addition and subtraction equations.
  • Explain, in their own words, the inverse300
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Number Nibbles

Level Two
Number and Algebra
Figure It Out activities
This is a level 2 algebra strand activity from the Figure It Out series.A PDF of the student activity is included.

solve problems involving unknowns by using words, pictures, or symbols

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Pede patterns

Level Two
Number and Algebra
Units of Work
This unit is about generating number patterns for certain creatures from the mythical planet of Elsinore. Each ‘Pede’ is made up of square parts and has a number of feet. The patterns range from counting by 2s and 3s, to being the number of feet plus three.
  • Continue a simple pattern
  • Generalise the pattern.