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Kindergarten – Grade 6 · Mathematics · Sample lesson

Number sense & counting

Number sense & counting is a building block of mathematics. Before tackling harder problems, mathematicians make sure the foundations are solid — and that is exactly what this lesson does. We start with the ideas you already know and connect them to number sense & counting step by step.

The key to number sense & counting is understanding why each step works, not just memorising rules. When you work through an example, ask yourself: what changed at each step, and why was that allowed? This habit turns procedures into real understanding.

You use number sense & counting more often than you might think — in shopping, cooking, sports statistics and planning trips across Canada. By the end of this lesson you will be able to explain number sense & counting in your own words and apply it to everyday problems.

Learning goals

  • Explain the key ideas of number sense & counting in your own words
  • Apply number sense & counting skills to everyday Canadian examples
  • Reflect on what you learned and set a next step

Learning together

Warm-up (10 min)

Mental-math warm-up: three quick questions that review the skills number sense & counting builds on. Discuss strategies aloud.

Teach (20 min)

Introduce the key idea of number sense & counting with one worked example on paper or a whiteboard. Think aloud through each step, then do a second example together.

Guided practice (15 min)

Learner tries two number sense & counting problems with support. Ask "what comes next?" rather than giving answers.

Independent practice (10 min)

Learner completes the practice problems in Section B of the worksheet alone.

Wrap-up (5 min)

Exit question: "Explain number sense & counting to me in one sentence." Note anything to review next lesson.

Reflection quiz only; it does not certify topic mastery. Results are not saved.

Next lesson: Addition & subtraction