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
- Add a small number by counting forward from a known amount.
- 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
Find 8 + 3 without counting from one.
Why this math matters
Add a few new items to a counted collection without counting the old collection again. 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.
Count on from the larger part
PausedQuestion: Start with the question. Paused.
Question
Start with the question
Find 8 + 3 without counting from one.
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
Begin at 8
Keep the known group of eight in mind.
Connect the parts
Three jumps: 9, 10, 11
Each spoken number is one added object.
State and check the result
8 + 3 = 11
Three forward jumps land on eleven.
The result
8 + 3 = 11
Three forward jumps land on eleven.
Common mistakes to catch
- Do not count the starting number as an added jump.
- Stop after exactly the number of jumps requested.
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
Find 9 + 2 by counting on.
Show a hint
Say two numbers after nine.
Reveal answer and explanation
11
Ten and eleven are the two new counts.
Practice 2
To find 2 + 7, which start is quicker: 2 or 7?
Show a hint
Addition can join the groups in either order.
Reveal answer and explanation
Start at 7 and count on 2
Two jumps require less counting than seven; both reach nine.
Take the idea with you
Add a few new items to a counted collection without counting the old collection again.
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: Build equal-pair doubles
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