Learn subjects / Grade 3 / Mathematics GRADE 3 · Mathematics · LEARNING COMPANION
Fair Share Three guided lessons with explanations, visual steps, practice and a final check.
Original chapter companion covering equal parts, fraction notation and halves or quarters of collections. It does not reproduce or solve every textbook exercise.
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01 · Get ready 02 · Learn 03 · Practise 04 · Final check 05 · My learning You can revisit any stage. Opening a page does not count as passing. Read all lesson explanations Read all lessons These explanations remain available without JavaScript. The separate learner and solution pages can be printed on A4.
LESSON 1
Make fair parts Recognise a half or quarter only when the whole is divided equally.
A fraction describes equal parts of a chosen whole.
Choose one whole Use one rectangular paper strip as the whole.
Split it equally in two Fold so both ends meet. Two equal parts are halves.
Split each half equally Fold each half in half. Now there are four equal parts.
Name one part One of four equal parts is one quarter. Two quarters cover the same amount as one half.
Worked example: A strip is divided into four equal boxes. Shade one box: this shows 1/4. Shade two boxes: this shows 2/4, the same amount as 1/2.
Watch for this: Four pieces do not automatically make quarters. They must be equal-sized parts of the same whole.
Discuss: Fold a paper rectangle to make equal halves, then quarters. Check that the matching pieces cover each other.
LESSON 2
Count equal parts Read and write fractions of one divided whole.
The bottom number counts all equal parts. The top number counts the selected parts.
Count all equal parts The whole strip has 4 equal parts. The denominator is 4.
Count the shaded parts Three parts are shaded. The numerator is 3.
Read the fraction The shaded part is 3/4, read as three quarters.
Find what is left One quarter is unshaded. Three quarters and one quarter make the whole.
Worked example: A strip has 3 equal parts. Two are shaded: the fraction is 2/3. The remaining part is 1/3. Together, 2/3 + 1/3 fills the whole.
Watch for this: The denominator counts every equal part, including unshaded parts. It does not count only the shaded pieces.
Discuss: Draw five equal boxes as one strip and shade two. Explain what the 2 and the 5 mean.
LESSON 3
Find a fraction of a group Find one half or one quarter of an evenly shared collection.
For a group, equal shares must have the same number of objects.
Count the total There are 12 counters altogether.
Make four equal groups Deal one counter at a time into four groups. Each group receives 3.
Choose one equal group One of the four groups is one quarter of the collection.
Check all the groups 1/4 of 12 is 3. Check: 3 + 3 + 3 + 3 = 12.
Worked example: To find half of 10, share 10 counters equally into 2 groups. Each group gets 5, so 1/2 of 10 is 5. Check 5 + 5 = 10.
Watch for this: A quarter of 12 is not 4. The 4 tells you how many equal groups to make; then count one group.
Discuss: Share 16 counters equally among four imaginary teams. Explain the size of each quarter.
Continue on paper Sources and coverage Original chapter companion covering equal parts, fraction notation and halves or quarters of collections. It does not reproduce or solve every textbook exercise.
Original HelioLearn teaching and questions. Source-aligned companion; not an official NCERT/CBSE publication or full textbook solution bank. Independent teacher review and narrated video are pending.
