Grade 10 · Core Mathematics · Lesson 2 of 11

Classifying Numbers in Situations

A Grade 10 Core Mathematics CBE lesson from the sub-strand Real Numbers. In it, learners use odd and even tests in practical grouping situations.

Strand Numbers and AlgebraSub-strand Real NumbersLesson code 10CM-11-L240 minutes · 2 slides

KICD learning outcome (a)

Classify whole numbers as odd, even, prime and composite in different situations.

By the end of this lesson, learners should be able to

Use odd and even tests in practical grouping situations.
Justify prime and composite classifications with factor evidence.
Compare two valid classification labels for one number.

Key vocabulary

Divisible: Able to be divided by a number with no remainder.; Forty-eight is divisible by six because eight groups result.
Parity: The property describing whether a whole number is odd or even.; The parity of twenty-five is odd from its final digit.

Lesson preview

Slide 1 · Parity in Equal GroupingOpening · 18 min

Figure 1: Seedling tokens arranged in pairs to show that even numbers leave no remainder while odd numbers leave one unpaired token.

When objects are arranged in pairs, an even total closes every pair; an odd total leaves one unpaired. This quick parity test helps analyse resources without replacing a mathematical explanation.

Pairing counters models divisibility by two clearly.
A leftover counter signals an odd total.
The final digit provides a faster parity check.
Contextual grouping must preserve the stated group size.

Worked example. Divide thirty-three by two. The quotient is sixteen and the remainder is one. Interpret the remainder as one seedling without a partner. Answer: No; thirty-three is odd and leaves one seedling unpaired..

Check question: True or False: If a total ends in zero, you can immediately conclude it is even. Give a reason.

Show answer

True. It is even because every number ending in zero is divisible by two. The final-digit rule works for all base-ten whole numbers, so no complete pairing needs to be drawn.

Slide 2 · One Number, Two LabelsPractice · 22 min

Figure 2: A classification grid sorting three different scenario numbers by both their parity and factor count.

Teach the full lesson on the projector

This lesson, and every other Grade 1–10 CBE lesson, comes ready to project with the EAP ClassKit. It runs without electricity or internet.

Both slides with diagrams and class activities
Teacher notes, SNE adaptations and assessment checks
Homework and the other 10 lessons in this sub-strand

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