CBSE Class 2 · Mathematics
A Day at the Beach (Counting in Groups)
Official NCERT chapter from Joyful Mathematics (English) (book code bejm1). ExamMaster notes are original teaching at CBSE Class 2 depth.
This lesson follows the official chapter “A Day at the Beach (Counting in Groups)” 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 2
- Easy level
- 8 concepts
1Count coconuts, boats, children, oranges as groups
Each pile on the beach is one group you can point to. Count one pile at a time.
A mixed glance is not a count. Name the pile, then count it.
Figure. Each beach pile is its own group. Coconuts 6, boats 4, children 5 and oranges 8 are four separate counts. A mixed glance that adds them is not a count of any pile.
How it works
- Name the pileCoconuts, or boats.
- Count only that pileOne-to-one.
- Keep the last wordThat is that pile’s size.
2One-by-one is allowed; bunches are faster
You may still count one orange at a time. Bunching by 2, 5, or 10 is a faster path to the same last word.
A bunch you cannot point to is a skip, not a faster count.
Figure. Six oranges counted one-by-one still end at 6. Three visible pairs are a faster path to the same last word. Faster is not a different number.
How it works
- Try one-by-oneAllowed.
- Try a bunch you can seePairs, or fives.
- Demand the same last wordFaster is not a different number.
3Groups of 2, 5, and 10 are named bundles
Two is a pair. Five is a hand. Ten is a bundle. Those names are houses for ones.
A leftover of 3 is not a 2-bundle. Do not force it in.
Figure. A pair holds 2, a hand holds 5, a ten-bundle holds 10. Those names are houses for ones. A leftover of 3 is not stuffed into the pair house.
How it works
- Pick a bundle size2, 5, or 10.
- Fill only full bundlesNo leftover stuffed in.
- Count bundles, then leftoversTwo houses.
4Skip-count to get the beach total
Groups of 5: 5, 10, 15, 20. That skip-count is the running total of that pile.
Skip only by the bundle you named.
Figure. Three boat bunches of 4 skip-count 4, 8, 12. Each tick is one bunch. The last word on the line is 12, the pile total.
How it works
- Name the skip5.
- Say the next words5, 10, 15, …
- Stop after the last bundleThat last word is the total.
Skip-count boat bunches
4 boats in each bunch, 3 bunches. Skip-count to the total.
- Skip4
- Words4, 8, 12
- Last word12
Pro tip. Skip by the bunch size you can point to.
5A leftover means the group size did not fit
If you bundle by 5 and two oranges remain, those two are leftovers.
Forcing them into a five makes the total a lie.
Figure. Twelve oranges bundled by 5 fill two honest fives. The remaining two are leftovers, not a fake third five. 5 + 5 + 2 = 12.
How it works
- Fill full bundlesFives only.
- See what remainsTwo oranges.
- Keep them as leftoverNot a fake five.
6The last skip-count word is the total
The last word of a finished skip-count names the pile.
“How many boats?” is answered by that last word.
Figure. The finished skip-count 4, 8, 12 names the pile. How many boats? The last word, 12 — not a new story.
How it works
- Finish the skip-countLast bunch got a word.
- Keep that wordThat is the pile.
- Answer how manySay it once.
7Write the count next to the picture pile
The numeral sits next to the pile it names. A 12 next to coconuts must not be reused for boats.
The mark is the record of that pile’s last word.
Figure. The numeral sits next to the pile it names. 8 belongs to coconuts; 5 belongs to boats. Moving 8 onto the boat pile would lie about both piles.
How it works
- Finish the countLast word first.
- Write the numeralNext to that pile.
- Do not move the markAnother pile needs its own.
8Two piles can be compared without a new story
More boats than children is a one-to-one leftover. You do not need a new beach story.
Comparing a guessed pile to an honest pile is not “more”.
Figure. Five boats paired one-to-one with three children. Three dashed matches; two boats have no child. That leftover is “more boats”, without a new beach story.
How it works
- Trust both countsEach pile counted.
- Match one-to-oneBoat to child.
- Name the leftoverThat leftover is more.
Bundled by 5 with 2 remaining. Those 2 are
- Leftovers, not a five
- A group of 5
- A new pile of boats
A leftover means the group size did not fit.
Notes
- The official chapter title is “A Day at the Beach (Counting in Groups)”. 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 “A Day at the Beach (Counting in Groups)”. The wording is ExamMaster’s teaching, not a textbook recap.
- Count coconuts, boats, children, oranges as groups
- Each pile on the beach is one group you can point to.
- One-by-one is allowed; bunches are faster
- You may still count one orange at a time. Bunching by 2, 5, or 10 is a faster path to the same last word.
- Groups of 2, 5, and 10 are named bundles
- Two is a pair. Five is a hand. Ten is a bundle. Those names are houses for ones.
- Skip-count to get the beach total
- Groups of 5: 5, 10, 15, 20. That skip-count is the running total of that pile.
- A leftover means the group size did not fit
- If you bundle by 5 and two oranges remain, those two are leftovers.
- The last skip-count word is the total
- The last word of a finished skip-count names the pile.
Practise A Day at the Beach (Counting in Groups)
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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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