Learn with Amar
Teaching video
A teaching recording for this chapter has not been published yet. Start with the worked example below and explore the related animations where available.
Grade 1 chapters and video availability01 · Read and understand
What you will learn
- Use a group of five to recognize a total without recounting.
- Explain your method and check what the result means in the stated situation.
Before you start
Recognizing small groups and saying counting words; an adult may read the prompts aloud.
Keep paper nearby. Read the question once for the context, then again to identify what is known and what you need to find.
Start with a question
A frame has 5 filled spaces, with 3 extra counters beside it. How many counters?
Why this math matters
Recognize a hand showing five fingers and another showing extras as a quick number model. The worked example shows how to connect the situation, its mathematical representation, and a check on the result.

Set up the model
A useful answer starts with clear assumptions:
- Use the units, grouping rules, and reference whole stated in the question.
- Treat the supplied counts and measurements as exact within the classroom model, unless an estimate or a random outcome is requested.
02 · Work through the example
Follow the reasoning, one step at a time.
Try to predict the next step before reading it. After each calculation, explain why the operation makes sense and how it helps answer the original question.

Work through it with Amar
See this example unfold.
The complete worked example, one idea at a time.
See five and some more
PausedQuestion: Start with the question. Paused.
Question
Start with the question
A frame has 5 filled spaces, with 3 extra counters beside it. How many counters?
Before you calculate
Read what is known and what you need to find. Make a prediction before moving to the first calculation.
Starts paused. Play advances through the full text at a reading pace; pause whenever you need more time. Previous, Next, and the phase buttons let you set your own pace. Playback pauses when this walkthrough leaves the screen or you switch tabs.
Your device’s reduced-motion setting keeps each phase still. Manual controls remain available. The full written solution stays below.
Represent the situation
Full frame = 5
Recognize the complete five-space frame as one familiar group.
Connect the parts
5 + 3
Count on three: six, seven, eight.
State and check the result
5 + 3 = 8
Five and three more compose eight.
The result
5 + 3 = 8
Five and three more compose eight.
Common mistakes to catch
- A frame counts as five only when all five spaces are filled.
- Do not count the full group twice.
03 · Practice independently
Try it before revealing the answer.
Use paper or a calculator as needed. Write your units and reasoning, then open the hint or explanation to check your approach.
Practice 1
A full five-frame has one counter beside it. What total?
Show a hint
Count one after five.
Reveal answer and explanation
6
5 + 1 = 6.
Practice 2
Eight counters include a full five-frame. How many are outside?
Show a hint
Separate the known five.
Reveal answer and explanation
3
8 − 5 = 3, so three counters remain outside.
Take the idea with you
Recognize a hand showing five fingers and another showing extras as a quick number model.
04 · Reflect and continue
Can you explain it in your own words?
Before moving on, explain the main idea without looking at the worked example. Try both practice questions, check your reasoning, and name one mistake you now know how to avoid. Return to a step if you still need support.
Up next: Find the missing part of ten
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