Year level: 6

Strand: Number

Lesson length: 60 mins

In this lesson we use the context of a bingo game to apply understanding of prime, composite and square numbers.

Achievement standard

By the end of Year 6, students solve problems using the properties of prime, composite and square numbers.

Content descriptions

Students identify and describe the properties of prime, composite and square numbers and use these properties to solve problems and simplify calculations. AC9M6N02

General capabilities

Numeracy

• Multiplicative strategies Level 9
• Review student work samples from the challenge task to assess their proficiency with selecting numbers that are composite or square numbers.
• Use slide 10 Exit ticket to record answers labelling the set of numbers provided as prime (P), composite (C) or square (Sq) or none of these (x).
• Describe a composite number knowing that it is an integer divisible by smaller positive integers other than one and itself.
• Describe a prime number knowing that it is an integer divisible by one and itself.
• Describe a square number knowing that it is the result of multiplying a natural number by itself (for example, 9 is a square number as 3 x 3 = 9).
• Use multiplication or division to test the properties of numbers.
• Recall multiplication and related division facts to 10 x 10.
• Be familiar with, and know how to play, the game bingo.

Terminology

Prime, composite and square numbers, factors

Some students may:

• not understand commutative property of multiplication that the order of factors does not affect the product, for example, they may think that 6 × 3 and 3 × 6 are different numbers and not realise they result in the same product
• confuse factors with multiples; factors of a number are the whole numbers that divide evenly into that number, multiplying factors together is the product. Multiples of a number are the products as a result of multiplying that number by other whole numbers. For example, the multiples of 5 are 5, 10, 15, 20, 25
• not realise that a number might have more than one set of factors, for example, 24 has factors: 1 and 24, 2 and 12, 3 and 8, 4 and 6
• believe that any even number is a square number.