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 2 chapters and video availability01 · Read and understand
What you will learn
- Identify a constant additive rule and extend it.
- Explain your method and check what the result means in the stated situation.
Before you start
Counting and comparing whole numbers, basic addition and subtraction, and recognizing simple shapes.
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 stated growing pattern begins 4, 7, 10, 13. Each step adds the same amount. What comes next?
Why this math matters
Explain a pattern's change in words so another person can continue it reliably. 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.
Describe a growing number pattern
PausedQuestion: Start with the question. Paused.
Question
Start with the question
A stated growing pattern begins 4, 7, 10, 13. Each step adds the same amount. What comes next?
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
7 − 4 = 3; 10 − 7 = 3
Compare neighboring terms.
Connect the parts
13 − 10 = 3
The third gap confirms the stated add-three rule.
State and check the result
Next term: 13 + 3 = 16
The rule describes a change, not a repeating block of values.
The result
Next term: 13 + 3 = 16
The rule describes a change, not a repeating block of values.
Common mistakes to catch
- A short list alone can fit many rules; use the stated rule.
- Do not confuse a growing pattern with a repeated color block.
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
Continue 20, 16, 12 using a constant-change rule.
Show a hint
Each step removes four.
Reveal answer and explanation
8
12 − 4 = 8.
Practice 2
Is 2, 5, 9 a constant-addition pattern?
Show a hint
Compare the two gaps.
Reveal answer and explanation
No
The gaps are three and four, which differ.
Take the idea with you
Explain a pattern's change in words so another person can continue it reliably.
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.
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