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Counting sets of subjects

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visibility 16update 5 days agobookmarkshare

🎯 In this topic you will

  • Count sets of objects.
 

🧠 Key Words

  • count
  • estimate
  • how many
  • line
  • set
  • total
Show Definitions
  • count: To determine the number of objects by naming numbers in order.
  • estimate: To make a sensible guess about a quantity without counting every item exactly.
  • how many: A question used to find the number of objects in a group.
  • line: A straight arrangement of objects placed one after another.
  • set: A collection of objects considered as a single group.
  • total: The final number found after counting all items in a group.
 

Counting in the Right Order

You need to say the numbers in the correct order to count.

 

Starting at One

To count objects, start with 1 and say a number for each object.

 

The Last Number Tells the Total

TThe last number you say tells you how many objects there are.

 

 

EXERCISES

$1.$ Count together.

 
👀 Show answer
The sets show totals of $1$, $2$, $3$, $4$, $5$, $6$, $7$, $8$, $9$, and $10$ objects respectively.

$2.$ Put some objects in the box.

Count your set of objects.

Put your objects in a row. Count again.

 
👀 Show answer
Answers will vary. The total counted should be the same each time, even after arranging the objects in a row.

$3.$ 

 
👀 Show answer
First frame: any $3$ spaces filled. Second frame: any $6$ spaces filled. Third frame: no spaces filled to represent $0$.
 
📘 Worked example

Which domino has $4$ spots?

 

Answer:

The domino with $4$ spots is the middle domino.

Count the spots on each domino carefully, starting from $1$ and saying one number for each spot.

The middle domino has exactly $4$ spots, so it matches the question.

 

EXERCISES

$4.$ Which domino has $5$ spots? Draw a ring around the correct domino.

 
👀 Show answer
The correct domino is the one that shows exactly $5$ spots (the domino with five dots on one side).

$5.$ Which domino has $9$ spots? Draw a ring around the correct domino. 

 
👀 Show answer
The correct domino is the one that shows exactly $9$ spots (the domino with nine dots on one side).

$6.$ Match each picture to the correct number.

 
👀 Show answer
Beans match $7$. Cars match $4$. Candies match $8$. The empty set matches $0$. The coloured blocks match $5$. The group of nine objects matches $9$.

$7.$ Draw $7$ bananas. Make it easy to see how many there are.

👀 Show answer
A correct drawing shows any clear arrangement of $7$ bananas, such as a row or grouped set that can be counted easily.
 
📘 Worked example

How many sunflowers are there? Estimate then count.

 

Answer:

Estimate: $3$

Count: $4$

An estimate is a sensible guess made before counting carefully.

After counting each sunflower one by one, there are $4$ sunflowers, so the estimate of $3$ was close.

 

EXERCISES

$8.$ Look at the picture on the previous page. Estimate then count. Write the numbers.

 
👀 Show answer
Answers will vary for the estimates. Counts from the previous picture are: butterflies $3$, rabbits $5$, frog $4$, tree $2$, birds $6$.
 

🧠 Think like a Mathematician

Task: Make a poster all about a number.

Instructions:

  1. Choose a number you want to explore.
  2. Create a poster that shows different objects that match your chosen number.
  3. Include drawings or pictures to represent the number in several ways.
  4. Explain your poster by describing how each group of objects shows the same number.

 

Follow-up Questions:

1. What number did you choose?
2. How did your pictures help show the number clearly?
3. Did every group on your poster represent the same total?
Show Answers
  • 1: Answers will vary depending on the chosen number.
  • 2: The pictures show groups of objects that can be counted to match the chosen number.
  • 3: Yes, each group should represent the same total so the number is shown consistently.
 

📘 What we've learned

  • We learned to count objects by saying numbers in the correct order starting from $1$.
  • The last number said when counting tells the total number of objects in a set.
  • We practiced matching sets of objects to the correct number and representing numbers using pictures and ten frames.
  • We learned that arranging objects differently does not change the total quantity.
  • We used estimation to make a sensible guess before counting exactly.

Related Past Papers

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