Primary 6 Mathematics tuition in Sumang can help a pupil see why a geometry shortcut works. When triangles share the same perpendicular height, comparing their bases can reveal their area ratio without finding each area separately.
For parents choosing weekday or weekend lessons, the useful question is when the child can explain that shared height. A correct-looking ratio is not secure if the pupil cannot say which conditions make it valid.
eduKate’s diagnosis-first approach uses the child’s current working to locate the missing connection. Focused 3-pax support should give pupils opportunities to name the base, identify the height and check the result. A workable routine needs to support school learning without crowding out rest.
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Ask the pupil to identify the perpendicular distance from the common vertex to the straight line containing the bases. A sloping side is not automatically the height.
If two bases lie on the same straight line and share a vertex off that line, their triangles have the same perpendicular height.
Only then compare their bases to compare their areas. Triangles with different heights do not generally have areas in the same ratio as their bases.
A weekday lesson can revisit the actual geometry question from school. The tutor can inspect whether the pupil selected the wrong height or misread the split base.
Give the child a pause after the school day. Careful annotation needs more than enough time to copy a solution.
A short follow-up can ask the pupil to mark the equal height on a new drawing and explain why it is shared before doing any arithmetic.
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A weekend session can compare two triangles and write both area expressions. Seeing the common factor of half the height explains why the bases determine the area ratio.
Keep drawings purposeful. A clean sketch with labelled points and dimensions is more helpful than an elaborate picture that obscures the relationship.
Plan a brief later revisit with a different base split. Independent explanation is the check that the relationship has been learned.
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In triangle ABC, point D lies on straight segment BC. BD is 4 cm and DC is 6 cm. The area of triangle ABC is 35 cm². Find the areas of triangles ABD and ADC.
Both smaller triangles share vertex A, and their bases BD and DC lie on the same straight line BC. Their perpendicular heights are therefore equal.
Their area ratio is BD:DC = 4:6 = 2:3. Together they form the whole triangle, so 2 + 3 = 5 area units represent 35 cm².
One area unit is 35 ÷ 5 = 7 cm². Triangle ABD has area 2 × 7 = 14 cm², and triangle ADC has area 3 × 7 = 21 cm².
Check: 14 + 21 = 35, and 14:21 simplifies to 2:3. Both the total area and the base ratio fit.
Try a new version: BD:DC = 3:5 and the whole triangle’s area is 48 cm². The smaller areas are 18 cm² and 30 cm².
The comparison depends on the common perpendicular height. It is not valid to compare the bases of unrelated triangles while ignoring their heights.
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A tutor should ask each pupil why the heights are equal. That explanation distinguishes an understood relationship from an unsupported shortcut.
One pupil may use the triangle-area formula while another uses ratio units. The tutor can show how both rely on the same shared height.
Finish with a new diagram and independent working. A pupil should identify the relevant bases and check the total without being led through every line.
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Confirm the school’s current learning scope, the actual venue and available lesson times. Then weigh concentration, journey and other responsibilities.
Keep the initial review target narrow: identify the shared perpendicular height and use the base ratio to divide the area.
Look for successful reasoning when the labels or orientation change. A familiar picture can hide uncertainty that appears on a rotated diagram.
Weekday and weekend lessons are both possibilities. Choose the routine that makes careful explanation and later retrieval practical.
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References and next steps
Official examination reference: SEAB PSLE formats examined in 2026, including separate Standard and Foundation Mathematics specifications. Use the document for the pupil’s examination year and level, and the school’s current assessment instructions. Worked examples are original teaching illustrations; suggested routines are practical options rather than official assessment requirements.
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