You will learn
- Make tally marks.
- Group tallies in fives.
- Count a tally chart.
- Find the total.
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
A line for one.
A table of tally marks.
Four lines crossed by a fifth.
All together.
1. Discover: counting votes
Children vote for a game. Instead of writing names, we draw a line for each vote. Why group the lines in fives?
2. Understand: tally charts
A tally chart has rows for each choice and tally marks for the votes. We draw four lines and cross them with a fifth to make a group of five.
To count: count in 5s for each group, then add the single lines. Two groups of five and 2 lines is 5 + 5 + 2 = 12. Five groups of five is 25.
Rows: 7, 5 and 8 votes make 7 + 5 + 8 = 20 votes in all.
3. Explore: make a tally chart
You need paper and a pencil.
- Draw a table with three choices.
- Ask 10 friends and mark tallies.
- Group tallies in fives.
- Count each row and find the total.
Think about it: what did you notice?
The row totals add to 10.
4. Practise
Guided practice
Question 1. Two fives and 2 lines?
5 + 5 + 2 = 12.
Question 2. Five groups of five?
25.
Question 3. 7 + 5 + 8?
20.
Independent practice
- Tally for 7
- Tally for 12
- Count: three fives and 4
- Total of 8, 5 and 6
- Why group in fives?
Answers are in the answer key below. Try first, then check.
5. Apply: everyday mathematics
Votes: football 7, ludo 5, dance 8. How many children voted?
Show a sample answer
20.
6. Common mistake
Fix: Cross only after four lines.
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
- One line stands for one.
- Group in fives.
- Add the rows for the total.
9. Next lesson
Next lesson: Picture graphs. Keep going with the next idea in this course.
Printable worksheet
- Tally for 7
- Three fives and 4
- Four fives and 3
- Total of 8, 5 and 6
- Why group in fives?
Homework
Tally the cars and bicycles you see in 10 minutes. Total them.
Answer key and marking scheme
| Question | Expected response | Marks |
|---|---|---|
| Tally for 7 | ||||| || | 2 |
| Three fives and 4 | 19 | 2 |
| Four fives and 3 | 23 | 2 |
| Total of 8, 5 and 6 | 19 | 2 |
| Why group in fives? | faster to count | 2 |
| Total | 10 |
Practice answers: Worksheet: 1 ||||| ||; 2 19; 3 23; 4 19; 5 faster to count.
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 Make tally marks | 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 Group tallies in fives | 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 Count a tally chart | 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 Find the total | 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: Crossing the line too early. Cross only after four lines.
- Explain another way: use real objects first, then pictures.
- Show a simpler example: Count tallies in fives on a number line.
- 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: make tally marks; group tallies in fives; count a tally chart; find the total.
Prerequisite knowledge. Lesson 1; counting in fives.
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 paper and a pencil. 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. Crossing the line too early. Cross only after four lines.
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. Count tallies in fives on a number line. 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.