You will learn
- Answer how many and which questions.
- Answer more and fewer questions.
- Answer total and half questions.
- Make a statement from a graph.
Version 0.1 · published for early use · expert review pending Standards alignment: pending verification. Not yet reviewed against the Courseversity scorecard.
Student lesson
Words to know
Something we ask.
A sentence that tells a fact.
One of two equal parts.
The total.
1. Discover: graph questions
Look again at the fruit graph. What questions can you ask? Can you also say a fact about the class?
2. Understand: answering questions
From the graph (mango 6, orange 4, banana 8, pawpaw 2) we can answer many kinds of question.
- How many? 8 chose banana.
- Which? Banana is the favourite.
- How many more? Banana has 4 more than orange (8 − 4).
- Altogether: 20 children.
- Half: orange (4) is half of banana (8).
A statement tells a fact: “Banana is the favourite fruit in our class.”
3. Explore: quiz the graph
You need the fruit graph.
- Write a how many question.
- Write a how many more question.
- Write a total question.
- Swap with a partner and answer.
Think about it: what did you notice?
Check answers against the graph.
4. Practise
Guided practice
Question 1. How many more bananas than oranges?
8 − 4 = 4.
Question 2. Which fruit is half of banana?
Orange (4).
Question 3. If 5 more choose pawpaw, how many choose pawpaw?
2 + 5 = 7.
Independent practice
- How many chose banana?
- How many more bananas than oranges?
- How many altogether?
- Mango + pawpaw?
- Write one statement about the graph.
Answers are in the answer key below. Try first, then check.
5. Apply: everyday mathematics
If 5 more children choose pawpaw, how many choose pawpaw in all?
Show a sample answer
7.
6. Common mistake
Fix: Read the question twice.
7. Check and master
Answer all questions. You will see feedback after each one.
Your result appears here after you answer every question.
8. Key takeaways
- Read the question.
- Use the graph.
- Answer in a sentence.
9. Next lesson
You have finished Grade 2 Mathematics. Well done!
Printable worksheet
- How many chose banana?
- How many more bananas than oranges?
- How many altogether?
- Mango + pawpaw?
- Which fruit is half of banana?
Homework
Make a graph about your family and write three questions with answers.
Answer key and marking scheme
| Question | Expected response | Marks |
|---|---|---|
| How many chose banana? | 8 | 2 |
| How many more bananas than oranges? | 4 | 2 |
| How many altogether? | 20 | 2 |
| Mango + pawpaw? | 8 | 2 |
| Which fruit is half of banana? | orange | 2 |
| Total | 10 |
Practice answers: Worksheet: 1 8; 2 4; 3 20; 4 8; 5 orange.
Quiz answers: 1 A, 2 B, 3 C, 4 A, 5 B, challenge C.
Mastery and remediation
| Objective | Bronze (Developing) | Silver (Proficient) | Gold (Advanced) |
|---|---|---|---|
| O1 Answer how many and which questions | Shows this with help from an adult or a picture | Does this independently and explains how they know | Explains it clearly and uses it in a new situation |
| O2 Answer more and fewer questions | Shows this with help from an adult or a picture | Does this independently and explains how they know | Explains it clearly and uses it in a new situation |
| O3 Answer total and half questions | Shows this with help from an adult or a picture | Does this independently and explains how they know | Explains it clearly and uses it in a new situation |
| O4 Make a statement from a graph | Shows this with help from an adult or a picture | Does this independently and explains how they know | Explains it clearly and uses it in a new situation |
Proposed Courseversity thresholds for this page: Bronze = at least 3 of 5 core questions correct; Silver = all 5; Gold = all 5 plus the challenge. A badge is never a full record of progress.
If a learner struggles
- Find the misconception: Answering a different question from the one asked. Read the question twice.
- Explain another way: use real objects first, then pictures.
- Show a simpler example: Answer one question at a time using counters for the bars.
- Guided practice: work through one example together and let the learner try the next one.
- Reassess: use the quiz again or the worksheet.
- Move on when the learner shows Silver-level evidence independently.
Teacher package
1–5. Objectives, prerequisites, materials, preparation, duration
Lesson objectives. Learners will: answer how many and which questions; answer more and fewer questions; answer total and half questions; make a statement from a graph.
Prerequisite knowledge. Lessons 1 to 6.
Materials. Counters (stones, seeds or bottle tops), paper, pencils, board or chalkboard. Low-resource options: use stones, seeds, sticks, bottle tops or drawings in the sand or on the board instead of printed materials.
Preparation. Gather the counters and draw the example pictures on the board before the lesson.
Suggested duration. 35–45 minutes.
6–9. Teaching procedure, explanation notes, guided and independent activities
Introduction (5 min). Start with the Discover situation and let learners suggest ideas before you teach.
Explanation (10 min). Teach the Understand section with real objects first, then pictures, then symbols and words.
Guided activity (10 min). You need the fruit graph. Learners follow the Explore steps in pairs.
Independent activity (10 min). Learners complete the independent practice and the worksheet.
Assessment and reflection (5 min). Ask each learner to say one thing they learned and how they know it.
Teacher explanation notes. Use the concrete, pictorial, abstract order: real objects first, then pictures, then symbols and words. Return to real objects whenever a learner needs support.
10–12. Differentiation, formative assessment, common misconceptions
Support. Use real objects and work with a partner; say each step aloud together. Extension. Ask learners to make up their own example and explain it to a partner.
Formative assessment. Listen to learner explanations, ask “how do you know?”, and check the independent work.
Misconceptions. Answering a different question from the one asked. Read the question twice.
13–15. Assessment questions, answer keys, marking scheme
Use the quiz and worksheet on this page. The 10-mark scheme and all answers are in the answer key above. Re-check every answer and the marking scheme before publication.
16–19. Remediation, enrichment, homework, teacher reflection
Remediation. Answer one question at a time using counters for the bars. Enrichment. Invite learners to find or create three more examples at home or in the classroom and explain them. Homework. See above.
Teacher reflection. After teaching, record: which concepts learners understood; which misconceptions occurred; which activities worked; which learners need more practice; and what to improve next time.
Sources and standards
Alignment is pending verification and no external endorsement is claimed. Reference starting points named in the Courseversity standard: Common Core State Standards for Mathematics, Cambridge Primary and the IB Primary Years Programme. Specific standard codes will be added once checked against the official documents.