Learning objectives
- Recognise, explain, and apply “pie charts”.
- Recognise, explain, and apply “line graphs”.
- Recognise, explain, and apply “interpretation”.
Year 6 / Mathematics / Statistics and transition
Mean and statistical charts: structured theory, worked examples, answered practice, and a mastery checklist for Year 6.
Unit
The essential chapter ideas in a clear sequence before practice.
Before calculating, identify what each value measures, the population, and whether the sample is representative.
Mathematics
Start from the board specification and work topic by topic before full papers.
The structure follows the official textbook layout and is used to organise study.
The areas that usually create mistakes or need extra revision.
Where to start: textbook, daily material, PDFs, videos, and worked examples.
Mean, median, range, and probability answer different questions. Give the value together with a contextual interpretation.
A graph needs a valid scale and a probability must lie from 0 to 1. These checks immediately expose inconsistent answers.
State what each value measures, organise it in a table or graph, then choose the appropriate statistic. Finish with estimation, an inverse operation, or substitution as a check.
State what each value measures, organise it in a table or graph, then choose the appropriate statistic. Finish with estimation, an inverse operation, or substitution as a check.
State what each value measures, organise it in a table or graph, then choose the appropriate statistic. Finish with estimation, an inverse operation, or substitution as a check.
Mathematics
Follow the method step by step and check why every step is valid.
For the data 2, 5, 7, 7, 5, find the mean and range.
Mean 5.2, range 5.
Explain “pie charts” in your own words and use a picture, objects, a table, or a simple measurement to support it.
A complete explanation connects the correct idea, a clear representation, and a sensible check.
Mean and statistical charts
Eight graded tasks from core fluency to exam-style application. Work independently before opening a hint or answer.
Calculate 5 + 4 and show two representations connected with “pie charts”.
Use a number line, place value, or objects.
5 + 4 = 9. Valid representations include number-line jumps and grouped objects.
6 equal groups contain 8 objects each. Find the total and write an addition and multiplication statement.
Add 8 a total of 6 times.
8 + 8 + 8 + 8 + 8 + 8 = 6 · 8 = 48.
Continue 4, 7, 10, ... for three more terms and explain the rule.
Check how much each term increases.
13, 16, 19; +3.
A rectangle has sides 7 cm and 5 cm. Find its perimeter and explain why four sides are counted.
Opposite sides are equal.
Perimeter = 7 + 5 + 7 + 5 = 24 cm.
Out of 6 objects, 3 are shaded. What fraction is shaded and how does it simplify?
Put shaded objects over the total.
3/6 = 1/2.
The measurements are 6, 4, 6, and 4. Find the greatest, least, and range.
Range = greatest value minus least value.
Greatest 6, least 4, range 2.
Anna has 54 cards, gives away 9, then shares the rest into 5 equal groups. How many are in each group?
Subtract first, then divide.
54 - 9 = 45; (45) : 5 = 9.
A learner says 5 + 3 = 9. Find the error, correct it, and check the correction.
Check with a number line or inverse subtraction.
5 + 3 = 8; 8 - 3 = 5.
Mean and statistical charts
Six distinct assignments from core fluency to challenge, each with an estimated time, hint, and answer guide.
Homework 1: Calculate 8 + 5 and show two representations connected with “pie charts”.
Use a number line, place value, or objects.
8 + 5 = 13. Valid representations include number-line jumps and grouped objects.
Homework 2: 2 equal groups contain 4 objects each. Find the total and write an addition and multiplication statement.
Add 4 a total of 2 times.
4 + 4 = 2 · 4 = 8.
Homework 3: Continue 7, 11, 15, ... for three more terms and explain the rule.
Check how much each term increases.
19, 23, 27; +4.
Homework 4: A rectangle has sides 3 cm and 6 cm. Find its perimeter and explain why four sides are counted.
Opposite sides are equal.
Perimeter = 3 + 6 + 3 + 6 = 18 cm.
Homework 5: Out of 18 objects, 6 are shaded. What fraction is shaded and how does it simplify?
Put shaded objects over the total.
6/18 = 1/3.
Homework 6: The measurements are 9, 5, 9, and 5. Find the greatest, least, and range.
Range = greatest value minus least value.
Greatest 9, least 5, range 4.
35 minutes / 30 marks
A timed, full-mark self-assessment with model-answer guidance.
Start the timer when ready, work without notes, show every step, and open model answers only after finishing.
1. Calculate 6 + 5 and show two representations connected with “pie charts”.
2 marks6 + 5 = 11. Valid representations include number-line jumps and grouped objects.
2. 2 equal groups contain 9 objects each. Find the total and write an addition and multiplication statement.
3 marks9 + 9 = 2 · 9 = 18.
3. Continue 5, 9, 13, ... for three more terms and explain the rule.
3 marks17, 21, 25; +4.
4. A rectangle has sides 8 cm and 6 cm. Find its perimeter and explain why four sides are counted.
4 marksPerimeter = 8 + 6 + 8 + 6 = 28 cm.
5. Out of 12 objects, 4 are shaded. What fraction is shaded and how does it simplify?
4 marks4/12 = 1/3.
6. The measurements are 7, 5, 7, and 5. Find the greatest, least, and range.
4 marksGreatest 7, least 5, range 2.
7. Anna has 6 cards, gives away 3, then shares the rest into 1 equal groups. How many are in each group?
5 marks6 - 3 = 3; (3) : 1 = 3.
8. A learner says 6 + 4 = 11. Find the error, correct it, and check the correction.
5 marks6 + 4 = 10; 10 - 4 = 6.
Unit
Curriculum reference sources. Always confirm the teaching sequence with the school and tutor.
Targeted practice before full tests so coverage is clear.
How to measure progress in this chapter and when it enters a cumulative mock.
What to do after finishing the chapter and how it connects to the next unit.
Note: for the official examinable syllabus of each school year, always confirm with the school, tutor, and current Ministry/IEP announcements.