Subtraction Strategies: Counting Back
Developing subtraction strategies by counting back from a given number within 20.
Key Questions
- Explain how counting back helps you find the difference between two numbers.
- Compare counting back to counting on for subtraction problems.
- Predict the result of 15 - 3 by counting back.
Ontario Curriculum Expectations
About This Topic
Reducing and Reusing Materials connects science to environmental stewardship and social responsibility. Students examine how the objects they use every day are made from natural resources and what happens to those materials when they are no longer needed. In the Ontario curriculum, this topic emphasizes the 'R's (Reduce, Reuse, Recycle) and encourages students to think about the lifecycle of products. This is a perfect place to discuss the Indigenous concept of 'Seven Generations,' where decisions made today should protect the world for those living seven generations in the future.
Students explore the difference between natural and human-made materials and the energy required to create new things. By finding new uses for 'trash,' students develop creative problem-solving skills. This topic is most effective when students engage in active, collaborative projects that turn waste into something functional.
Active Learning Ideas
Stations Rotation: Sort the Scraps
Set up stations with various 'waste' items. Students work in groups to decide if an item should be reduced (not used at all), reused (used again for a new purpose), or recycled (processed into something new).
Inquiry Circle: The Upcycle Challenge
Give each group a 'mystery' piece of trash (e.g., an empty milk carton). They must work together to design and build a useful tool, like a bird feeder or a pencil holder, using only that item and tape.
Think-Pair-Share: The Lunchbox Audit
Students look at their own lunch containers (or a sample lunch). They identify one thing that could be replaced with a reusable option and explain to a partner how that helps the Earth.
Watch Out for These Misconceptions
Common MisconceptionRecycling is the best and only way to help.
What to Teach Instead
Many students think recycling 'fixes' everything. Active discussion helps them realize that reducing (using less) and reusing (using again) are actually better for the environment because they save more energy and resources.
Common MisconceptionEverything that goes in the trash just disappears.
What to Teach Instead
Children often don't understand the concept of a landfill. Using a simulation (like a 'mini-landfill' in a jar) shows how some materials stay around for a very long time, while others break down.
Suggested Methodologies
Ready to teach this topic?
Generate a complete, classroom-ready active learning mission in seconds.
Frequently Asked Questions
How can active learning help students understand reducing and reusing?
What is the difference between natural and human-made materials for Grade 1?
How do I handle the topic of 'waste' without making students feel guilty?
Are there any French resources for teaching the 3 Rs?
Planning templates for Mathematics
5E Model
The 5E Model structures lessons through five phases (Engage, Explore, Explain, Elaborate, and Evaluate), guiding students from curiosity to deep understanding through inquiry-based learning.
unit plannerMath Unit
Plan a multi-week math unit with conceptual coherence: from building number sense and procedural fluency to applying skills in context and developing mathematical reasoning across a connected sequence of lessons.
rubricMath Rubric
Build a math rubric that assesses problem-solving, mathematical reasoning, and communication alongside procedural accuracy, giving students feedback on how they think, not just whether they got the right answer.
More in Operations and Algebraic Thinking
Addition Strategies: Counting On
Moving from counting all to using the 'counting on' strategy for addition within 20.
2 methodologies
Addition Strategies: Making Ten
Using the 'making ten' strategy to add numbers within 20, understanding number bonds to ten.
2 methodologies
Subtraction Strategies: Related Facts
Understanding the relationship between addition and subtraction to solve subtraction problems.
2 methodologies
Understanding the Equal Sign
Reframing the equal sign as a symbol of balance, representing that both sides of an equation have the same value.
2 methodologies
Finding the Unknown in Equations
Solving for the unknown whole number in addition and subtraction equations within 20.
2 methodologies