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CBSE Class 1 · Mathematics

Utsav (Patterns)

Official NCERT chapter from Joyful Mathematics (English) (book code aejm1). ExamMaster notes are original teaching at CBSE Class 1 depth.

This lesson follows the official chapter “Utsav (Patterns)” in Joyful Mathematics (English). The words below are ExamMaster’s teaching, not a paste from the book. Use the NCERT chapter for the classroom sequence; use these notes to hold the idea without copying exercises or figures.

  • CBSE Class 1
  • Easy level
  • 8 concepts

1A festival pattern is a chunk that comes again

A pattern is a chunk you can say, then say again. Red-blue, red-blue is a chunk of two.

A pretty row that never restarts is not a pattern. The restart is the test.

Figure. A festival pattern is the shortest chunk that comes again. Here the unit is red-blue. The fifth tile starts the unit once more.

How it works

  1. Mark the first chunkThe shortest piece that restarts.
  2. See it againThe next copy must match.
  3. Name the unitThat chunk is the pattern.

2Colour, kite, or clap can be the repeating unit

The chunk can be colours, kites, or claps. The kind of mark does not matter. The restart does.

Do not mix a colour rule with a clap rule in one unit unless the chunk says both.

Figure. The unit can be colours, kites, or claps. The kind of mark changes; the restart test does not.

How it works

  1. Pick one kind of markColour, or kite, or clap.
  2. Find the shortest restartThat is the unit.
  3. Copy it onceThe copy must match.

3Predict the next mark from the unit

If the unit is red-blue, the next mark after a blue is red. Guessing “maybe green” ignores the unit.

Prediction is a copy of the unit, not a new decoration.

Figure. After a finished red-blue unit the next mark is red. The question mark is a copy of the unit, not a new colour.

How it works

  1. Say the unitRed-blue.
  2. See where you areYou just placed blue.
  3. Place the next from the unitRed.
Unit is lamp-diya. After a diya, the next mark is
  1. Lamp
  2. Diya
  3. A new colour

The unit restarts. After diya comes lamp.

4A broken chunk is a new pattern

Red-blue-red-green is not red-blue repeating. The third mark broke the chunk. That is a new pattern, or not a pattern.

Almost the same is not the same unit.

Figure. Red-blue-red-green is not the red-blue unit repeating. The green tile breaks the claimed chunk, so the old name stops.

How it works

  1. Write the claimed unitRed-blue.
  2. Check every restartDoes it match?
  3. If a mark breaks itStop calling it that unit.

5Growing patterns add a piece each time

One lamp, then two lamps, then three lamps is a growing pattern. The chunk itself gets longer.

A repeating unit stays the same length. Do not mix the two.

Figure. A growing pattern adds a piece each time. One lamp, then two, then three. The unit itself gets longer, unlike a repeating red-blue chunk.

How it works

  1. See if the chunk growsOne more each time?
  2. Name the add-onOne extra lamp.
  3. Predict the next rowOne more than the row you see.

6Copy the unit onto a new row to check

The honest check is to copy the unit onto a blank row. If the copy does not match the festival row, the unit is wrong.

A pretty memory of the row is not the check.

Figure. The honest check is a fresh copy of the unit under the festival row. If every mark matches, the unit is right.

How it works

  1. Write the unit aloneOn a new row.
  2. Repeat itUntil the lengths match.
  3. Compare mark by markAny mismatch kills the unit.

7Almost the same is not the same unit

Red-blue-red-bluish is not red-blue. “Almost” is a new chunk or a break.

The test is match, not mood.

Figure. Red-blue-red-teal is not red-blue. Almost the same colour is a different mark, so it is a different unit or a break.

How it works

  1. Name the claimed unitExactly.
  2. Compare the next copyExactly.
  3. Reject almostAlmost is a different pattern.

8A rangoli fold is a later symmetry test — not yet

A fold that matches two halves is a Class 4 idea. This chapter only asks for a repeating unit you can copy.

Do not rename a pattern as “symmetry” until you can run a fold test. That is a later official chapter.

Figure. A rangoli fold that matches two halves is a later symmetry test. This chapter only asks you to copy a repeating row.

How it works

  1. Stay with the unitCopy, restart, predict.
  2. Refuse a fold claimNot this chapter.
  3. Keep the festival as a rowA row you can say aloud.

Notes

  • The official chapter title is “Utsav (Patterns)”. Teach the school test for that title, not a contest shortcut.
  • If a step needs a later class, stop. The next official chapter will pick it up.

Recap

Hold these pegs from the official chapter “Utsav (Patterns)”. The wording is ExamMaster’s teaching, not a textbook recap.

A festival pattern is a chunk that comes again
A pattern is a chunk you can say, then say again.
Colour, kite, or clap can be the repeating unit
The chunk can be colours, kites, or claps.
Predict the next mark from the unit
If the unit is red-blue, the next mark after a blue is red.
A broken chunk is a new pattern
Red-blue-red-green is not red-blue repeating.
Growing patterns add a piece each time
One lamp, then two lamps, then three lamps is a growing pattern.
Copy the unit onto a new row to check
The honest check is to copy the unit onto a blank row.

Practise Utsav (Patterns)

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  • A 4-question practice set that ends the chapter
  • 1 quick check with worked explanations
  • Timed mocks scored with the real marking scheme
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