Planning tool
Year levels
Strands
Expected level of development
Australian Curriculum Mathematics V9: AC9MFN05
Numeracy Progression: Additive strategies: P2, Number and place value: P3, Counting processes: P2
At this level, students develop the foundations of additive thinking. They apply counting, subitising and part-part-whole understanding to practical situations involving addition and subtraction.
Use physical and virtual materials (such as leaves, pebbles, counters and blocks) to model addition and subtraction problems involving collections under 10. Begin by exploring the impact of adding 1 and subtracting 1 on quantities. Use the language of ‘one more’ and ‘one less’. Encourage the noticing of patterns. Progress to an exploration of ‘two more’ and ‘two less’ before adding and subtracting 3, and then 4, and so on.
Introduce the use of fives frames, tens frames and number lines as tools to help model addition and subtraction. Allow students to decide how to solve problems, and provide easy access to materials and tools to support this. Model curiosity around mistakes and help students to see them as opportunities to learn. Give plenty of thinking time to solve problems.
Help students understand the key language and connect this to mathematical symbols. For instance, ‘one more than two is three’ can be described and written as ‘1 and 2 is 3’ and ‘2 and 1 is 3’.
Use role-play to act out additive situations. Story problems involving addition and subtraction can emerge as a result of recent classroom experiences, discussions or stories read. Include the use of traditional games and stories that involve addition and subtraction.
Teaching and learning summary:
- Explore addition and subtraction with materials, stories, role-play, games and regular classroom talks.
- Ensure a playful culture of learning where mistakes and struggle are seen as a valuable part of learning.
- Connect addition and subtraction to everyday situations.
Students:
- model and describe additive story problems
- understand that adding objects together results in a larger set of objects
- understand that subtracting objects from a set results in a smaller set of objects
- model and describe different ways to make numbers up to 10.
Some students may:
- have limited number naming and counting knowledge, for example, they are not yet able to coordinate saying the number names with pointing to or moving counters one by one. To address this, provide repeated occasions to count sets of objects as well as sounds such as claps and drum beats.
- not understand the commutative property in addition; that it doesn’t matter what order you add two addends, this will not affect the answer. To address this, provide repeated experiences to add two numbers where the smaller number is mentioned first (for example, I have 2 apples and my friend has 4 apples). Help students see that this property gives us choices about how to add numbers.
- believe that adding zero (for instance, 2 plus 0) will result in a larger number because they have learned that ‘adding makes numbers larger’. Similarly, when subtracting zero (for instance, 2 take away 0) they think the answer will be smaller than the minuend. To address this, provide repeated opportunities to explore problems that add and subtract zero.
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.
Learning intention
- We are learning to describe situations that use addition and subtraction.
Why are we learning about this?
- We use addition and subtraction in everyday life.
What to do
1. When engaged in creative play, notice situations involving addition and subtraction. Consider questions like:
- I notice 3 gumnuts and 2 leaves. How many items altogether?
- Teddy has 4 books and so does Dog. How many do each have? How many altogether?
- I see there are 6 buttons. What if I took away these 2, how many would be left?
2. Read storybooks and discuss situations involving addition and subtraction. Model curiosity and pose questions such as:
- There are 2 lemons here, and 2 more lemons here. How many altogether?
- Dog is joined by his 3 friends. How many animals are there now?
- Oh, the goat just ate an apple! There were 5 apples. How many are left?
3. Link addition and subtraction to everyday situations. For example:
- When shopping, or when playing shops, talk about the total number of items in the basket, for example: 'there are 2 apples and 2 bananas. How many pieces of fruit altogether?'
- When walking as a group, discuss how many people are walking in front, how many are walking behind, and how many people there are altogether.
- When drawing pictures, notice and describe additive aspects such as that the number of legs on a dog (4) and the number of legs on the person (2) makes a total of 6 legs.
Success criteria
I can:
- use language like ‘____ and _____ makes _____’ to describe addition
- use language like ‘_____ take away ______ leaves’ to describe subtraction
- describe different ways to make numbers up to 5, then up to 10.
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Teaching strategies
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.
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Collaborative learning
For group work to be effective students need to be taught explicitly how to work together in different settings, such as pairs or larger groups, and they need to practise these skills.
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Concrete, Representational, Abstract (CRA model)
The CRA model is a three-phased approach where students move from concrete or virtual manipulatives, to making visual representations and on to using symbolic notation.
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Culturally responsive pedagogy
Mathematics is not an exclusive western construct. Therefore, it is important to acknowledge and demonstrate the mathematics to be found in all cultures.
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Multiple exposures
Providing students with multiple opportunities within different contexts to practise skills and apply concepts allows them to consolidate and deepen their understanding.
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Questioning
A culture of questioning should be encouraged and students should be comfortable to ask for clarification when they do not understand.
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Classroom talks
Classroom talks enable students to develop language, build mathematical thinking skills and create mathematical meaning through collaborative conversations.
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Teaching resources
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.
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Yuendumu leaf game: introduction
In this first of three lessons, students use leaf stories and games to investigate addition, subtraction, quantification, counting and subitising.
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Yuendumu leaf games: representing stories
In this second of three lessons, students represent their leaf stories and games using pictures, numerals and symbols.
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Yuendumu leaf games: create a poster
In this final of these three lessons, students work in groups to reflect on and record their learning about representing number stories using leaf games and stories.
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Classroom Talks: additive thinking
Use this slide deck as a basis for a classroom talk focused on additive strategies.
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Counting beetles
Use this interactive tool to explore and discuss additive story problems involving beetles.
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Adding and Subtracting
Use role play and other activities (on pages 14 and 15) to explore additive situations with numbers under 10.
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Let’s go hunting
Use these language-based activities to explore, represent and describe addition as joining.
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Addition and subtraction teaching ideas
Use these activities to apply part-part-whole knowledge to addition and subtraction.
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Bits and pieces
Use these language-based activities to explore addition and subtraction by partitioning collections to 10.
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Bears in caves
An open-ended problem without an obvious answer. Solutions emerge through reasoning, and trial and error.
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Adding and subtracting with counters or hands
Explore and test solutions to story problems involving numbers to 10.
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Double hunt
Use this task to activate dice pattern knowledge to sort and investigate doubles using dominoes.
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