# NA3-2: Know basic multiplication and division facts.

Elaboration on this Achievement Objective

This means students will know basic multiplication facts are those that range from 0 x 0 = 0 to 9 x 9 = 81. The division basic facts are the inverse of the multiplication facts. So 6 x 4 = 24, 4 x 6 = 24, 24 ÷ 6 = 4 and 24 ÷ 4 = 6 are all basic facts. Students should commit their basic facts to memory as soon as they understand the meaning of the equations and can use number properties to work them out, 8 x 7 = 56 means "eight sets of seven" and can be worked out by doubling 4 x 7 = 28. Note that 56 ÷ 7 can mean "fifty-six shared among seven" or "how many sevens are in fifty-six".

Teaching resources for this Achievement Objective

This is a level 3 number and algebra strand activity from the Figure It Out series. It relates to Stage 6 of the Number Framework. A PDF of the student activity is included.

use basic facts to solve equations

Figure It Out activities

Number and Algebra

Level Three

This activity provides students with a fun, game context in which to practice their early algebra skills.

solve simple algebraic equations using their basic multiplication facts.

Numeracy activities

Number and Algebra

Level Three

This is a level 3 number activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

know multiplication facts

Figure It Out activities

Number and Algebra

Level Three

This is a level 3 number activity from the Figure It Out series. It relates to Stage 6 of the Number Framework. A PDF of the student activity is included.

use arrays to solve multiplication facts

Figure It Out activities

Number and Algebra

Level Three

In this unit we use rectangular models or arrays to explore numbers from one to fifty. We practice expressing numbers as the product of two smaller numbers and in doing so identify all the factors of numbers systematically. We are also introduced to prime numbers.

Model the numbers from 1 to 50 as rectangular arrays. Identify the factors of the numbers 1 to 50. Identify whether whole numbers from 1 to 50 are prime or composite (or a special case, i.e. 1).

Units of Work

Number and Algebra

Level Three

This game allows students to practise their multiplication skills, and reinforces the ‘array’ concept of multiplication.

perform multiplication calculations using numbers 1-6

Numeracy activities

Number and Algebra

Level Three

Work systematically to find all the possible combinations

Problem solving activities

Number and Algebra

Level Three

In this activity students are encouraged to view the multiplication grid in the same way that they would view a hundreds array and to consider how they will find an answer to multiplication problems by deriving from known facts, looking for groups and skip counting.

model multiplication facts on a multiplication grid use the hundreds array to find groupings, known facts to solve multiplication facts

Numeracy activities

Number and Algebra

Level Three

This is a level 3 activity from the Figure It Out series. A PDF of the student activity is included.

Figure It Out activities

Number and Algebra

Level Three

The purpose of this activity is to engage students in using knowledge of basic facts, to solve a problem in context.

Rich learning activities

Number and Algebra

Level Three

The purpose of this activity is to engage students in using mathematical strategies and knowledge of basic facts, to solve a problem in context.

Rich learning activities

Number and Algebra

Level Three

In this activity students use a deck of cards (or create their own set of cards with numbers on) to play a version of the 24 game. Students will use four cards and combinations of the four arithmetic operations to try to make a total of 24.

use the four arithmetic operations to make number sentences, which total 24.

Numeracy activities

Number and Algebra

Level Three

This is a level 3 number activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

use arrays to solve multiplication facts

Figure It Out activities

Number and Algebra

Level Three

This is a level 3 number activity from the Figure It Out series. It relates to Stage 6 of the Number Framework. A PDF of the student activity is included.

use basic facts knowledge to solve operation-sign problems

Figure It Out activities

Number and Algebra

Level Three

This is a level 3 number activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

use multiplication facts and mental strategies to solve multiplication problems

Figure It Out activities

Number and Algebra

Level Three

This is a level 2-3 activity from the Figure It Out series. A PDF of the student activity is included.

Figure It Out activities

Number and Algebra

Level Two

use multiplication and division facts in a game

Figure It Out activities

Number and Algebra

Level Three

This is a level 3 number activity from the Figure It Out series. It relates to Stage 6 of the Number Framework. A PDF of the student activity is included.

know multiplication basic facts

Figure It Out activities

Number and Algebra

Level Three

investigate patterns in multiples

Figure It Out activities

Number and Algebra

Level Three

know division facts

Figure It Out activities

Number and Algebra

Level Three

know multiplication and division facts

Figure It Out activities

Number and Algebra

Level Three

This unit explores situations that involve multiplication and division using an equal sets model. Students learn to apply the properties of whole numbers under multiplication, to derive new answers from basic facts, and apply inverse operations to division.

Derive from basic multiplication facts to solve multiplication problems with equal sets. Apply the commutative and distributive properties of multiplication to solve problems mentally and on paper. Recognise how both measurement and sharing division problems can be solved by ‘building up’ with...

Units of Work

Number and Algebra

Level Three

use multiplication facts to solve problems know equivalent fractions fro tenths and fifths find half of a number

Figure It Out activities

Number and Algebra

Level Three

Recall groupings of twos, threes, fives, and tens that are in numbers to 100 and the resulting remainders.

Numeracy activities

Number and Algebra

Level Three

This is a level 3 number link activity from the Figure It Out series. It relates to Stage 6 of the Number Framework. A PDF of the student activity is included.

practise multiplication facts

Figure It Out activities

Number and Algebra

Level Three