Expected level of development
Australian Curriculum Mathematics V9: AC9M2A02, AC9M2A03
Numeracy Progression: Additive strategies: P6, Multiplicative strategies: P4
At this level, students consolidate their knowledge of number facts up to 20 and are encouraged to practise these to aid recall. They learn number facts for addition and subtraction up to 20, becoming familiar with the different combinations. Students recall and demonstrate proficiency with multiplication facts for twos, and extend and apply facts to develop the related division facts using doubling and halving.
Provide opportunities for students to develop proficiency in automatic recall of the basic number facts associated with a mathematical operation. Use maths games that draw on additive or multiplicative thinking and use of number facts. Include strategy games to reach a target number or games that involve doubling and halving.
Number facts (additive thinking):
Use tens frames and counters to represent both addition and subtraction concepts focusing on the part-part-whole relationship and making explicit similarities and differences. Show how additive thinking connects addition and subtraction concepts using part-part-whole; with addition problems you know the parts and work out the whole while in subtraction problems you know the whole and one part and calculate the remaining part. Encourage the use of intuitive strategies including doubles, near doubles, counting on, combinations to 10 and bridging to 10, making explicit the patterns and connections noticed within the facts.
Number facts (multiplicative thinking):
Use hundreds charts to explore and represent doubling and halving patterns. Make explicit ways to find related number facts.
Teaching and learning summary:
- Use maths games that draw on additive or multiplicative thinking.
- Use tens frames to represent and solve addition and subtraction problems.
- Partition and rearrange collections to practise and develop fluency with addition and subtraction facts to 20 leading to the recall of these facts.
- Use hundreds charts to explore and represent doubling and halving patterns.
There is an opportunity to connect learning about, and applying:
- addition and related subtraction facts to 20 (AC9M2N04)
- multiplication and division by one-digit numbers (AC9M2N05).
- describe, continue, and create number patterns resulting from performing addition or subtraction
- recall addition facts up to 20 and related subtraction facts
- represent and solve simple addition and subtraction problems using intuitive strategies
- recall multiplication facts for twos
- recognise doubling and halving patterns.
Some students may:
- find teen numbers confusing, for example, they confuse fourteen and forty
- write numerals in the wrong order, for example, write sixteen as 61, because 6 is heard first
- reverse the numerals.
The Learning from home activities are designed to be used flexibly by teachers, parents and carers, as well as the students themselves. They can be used in a number of ways including to consolidate and extend learning done at school or for home schooling.
- We are learning to represent and use number bonds and related subtraction facts up to 20.
Why are we learning about this?
- We are learning to recall and use addition and subtraction facts to 20 fluently.
What to do
Look at car number plates as you are travelling to school.
- Make it a game to see if you can use the car registration numbers to solve addition and subtraction problems.
- Make a total; add the digits of the number plate, for example, with the number plate RTS 328 the addition problem is 3 + 2 + 8 = 13.
- Subtract from 20; subtract the total of the three numbers from 20, for example, with the number plate RTS 328 the subtraction from 20 number problem is 20 – 3 – 2 – 8 = 7.
- recall basic addition and subtraction facts
- solve one-step problems that involve addition and subtraction
- recognise and use the relationship between addition and subtraction.
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A collection of evidence-based teaching strategies applicable to this topic. Note we have not included an exhaustive list and acknowledge that some strategies such as differentiation apply to all topics. The selected teaching strategies are suggested as particularly relevant, however you may decide to include other strategies as well.
A well-developed lesson structure is important for both teacher and students.Go to resource
Explicit teaching is about making the learning intentions and success criteria clear, with the teacher using examples and working though problems, setting relevant learning tasks and checking student understanding and providing feedback.Go to resource
Providing students with multiple opportunities within different contexts to practise skills and apply concepts allows them to consolidate and deepen their understanding.Go to resource
Spaced, interleaved and retrieval practice
These are three strategies that can be used to increase student retention and recall of their learning.Go to resource
A range of resources to support you to build your student's understanding of these concepts, their skills and procedures. The resources incorporate a variety of teaching strategies.
This unit is about partitioning whole numbers. It focuses on partitioning numbers to ‘make a ten’ or a decade when adding whole numbers.Resource details
Number: Addition and subtraction
Explores number facts and number bonds, and the part-whole model.Resource details
Use this game to help students to become more fluent in number bonds and addition.Resource details
Nine plus facts
This activity supports students to use their knowledge of teen numbers to recall addition facts with nine.Resource details
Harder addition facts to 20
The purpose of this activity is to support students to learn the most difficult addition of basic facts to 20.Resource details
Strike it Out
This game offers an engaging context for practising addition and subtraction, requiring strategic thinking.Resource details
The purpose of this activity is to support students to learn and apply their doubles addition facts to 20.Resource details
Go fish: collecting and solving doubles
Use this video to introduce a mathematical game to apply doubles addition factsResource details
Double or halve?
In this game, students use what they know about halving and doubling numbers to make strategic decisions to reach a target number.Resource details
This video explores ways to sort dominoes, including doubles or no doubles.Resource details
This video explores doubles and near doubles using a rekenrek.Resource details
Youcubed number visuals
Explore ways to represent numbers in different ways to support the learning of number facts.Resource details
This video demonstrates how to play a game to practise doubles and multiplication facts.Resource details
By the end of Year 2, students recall and demonstrate proficiency with addition and subtraction facts up to 20 and multiplication facts for twos.