Grade 3
Course ContentNumber Concepts (1-100)
Jambo Numbers! Let's Explore the World from 1 to 100!
Habari mwanafunzi! Welcome to a fun adventure with numbers. Have you ever counted the matatus on the road, the chickens in the shamba, or the coins in your parent's hand? Today, we are going to become number experts! We will learn how to count, understand, and play with all the numbers from 1 all the way up to 100. Are you ready? Let's go!
Counting in Bundles: The Magic of Tens
Counting all the way to 100 can take a long time if we go one by one. But we have a secret trick! We can group things into bundles of ten. This makes counting much faster. Think about collecting firewood sticks. It's easier to carry them in bundles, right? Numbers work the same way!
- 1 bundle of ten is 10 (Ten)
- 2 bundles of ten is 20 (Twenty)
- 3 bundles of ten is 30 (Thirty)
- 4 bundles of ten is 40 (Forty)
- 5 bundles of ten is 50 (Fifty)
- ...and all the way to 10 bundles of ten, which is 100 (One Hundred)!
Example from the Market: Mama Biko goes to the market to buy eggs. The seller has put the eggs in trays of 10. If Mama Biko buys 3 full trays, she has 3 bundles of ten, which is 30 eggs! It's so much faster than counting each egg one by one.
Image Suggestion: [A colourful, cartoon-style illustration of a smiling Kenyan child sitting on the floor, happily tying a string around a bundle of exactly 10 sticks. More loose sticks and a few completed bundles are nearby. The background is a simple, clean room.]
The Secret Houses: Place Value (Tens and Ones)
Every number has a special home. For numbers up to 99, there are two houses right next to each other: the TENS house and the ONES house. Let's look at the number 47.
The number 7 lives in the ONES house. It means there are 7 single ones.
The number 4 lives in the TENS house. It means there are 4 bundles of ten (which is 40).
+-------+-------+
| TENS | ONES | <-- The Number Houses
+-------+-------+
| 4 | 7 | <-- Our number 47
+-------+-------+
So, when we see the number 47, we can break it down like this:
The number is 47.
It has:
4 Tens = 40
7 Ones = 7
-----------------
Total = 47
Image Suggestion: [A vibrant, educational diagram for children. On the left, show 4 ten-shilling Kenyan coins stacked up, labeled "4 TENS". On the right, show 7 one-shilling Kenyan coins spread out, labeled "7 ONES". Below them, a big, friendly number "47" with an equals sign. The style should be simple and clear.]
Who is Bigger? Meet the Greedy Crocodile!
To compare numbers, we can use our friend, the Greedy Crocodile. This crocodile is always very hungry and always wants to eat the bigger number! His mouth makes the signs for "greater than" (>) and "less than" (<).
---
/ \
---< ) 25 ... The crocodile sees 25...
\ /
---
AND
---
/ \
---( > 62 ... and 62!
\ /
---
He is very hungry, so he will eat the bigger number, 62!
---
/ \
25 < ) 62 (We say: 25 is LESS THAN 62)
\ /
---
- The sign < means "less than".
- The sign > means "greater than".
- If the numbers are the same, we use the equal to sign (=). The crocodile gets confused and closes his mouth! (e.g., 50 = 50)
Football Match! Gor Mahia scores 3 goals. AFC Leopards scores 1 goal. Which number will the crocodile eat? The 3! So, we can write: 3 > 1. (3 is greater than 1).
Let's Get in Line! Ordering Numbers
Ordering numbers means putting them in the right place, just like lining up for class!
1. Ascending Order: This is when we arrange numbers from the smallest to the biggest. Think of it like climbing up a small hill: you start at the bottom and go up!
- Numbers: 15, 8, 40, 21
- Ascending Order: 8, 15, 21, 40
2. Descending Order: This is when we arrange numbers from the biggest to the smallest. This is like sliding down from the top of the hill! Whee!
- Numbers: 15, 8, 40, 21
- Descending Order: 40, 21, 15, 8
Activity Time: The Number Hunt!
Let's practice what we have learned. It's time for a Number Hunt around your home! Ask an older sibling or a parent to help you.
- Find an object that has a number between 10 and 50 on it. (Maybe on a calendar, a book, or a food packet). Write it down!
- Find another object with a number between 51 and 100. Write it down!
- Now, look at your two numbers. Use the Greedy Crocodile sign (< or >) to show which one is bigger.
- Finally, try to write the number in words. For example, if you found 25, you write twenty-five.
Hongera! (Congratulations!) You have done an amazing job today. You are well on your way to becoming a master of numbers. Keep practicing and looking for numbers everywhere you go! Vizuri sana!
Habari Mwanafunzi! Let's Go on a Number Adventure to 100!
Welcome, young mathematician! Today, we are going on an exciting safari right here in our classroom. But instead of looking for lions and elephants, we are going to hunt for numbers, all the way from 1 to 100! Are you ready? Let's begin our adventure into the world of numbers!
Imagine you are at a market, a sokoni, with your mother. You see piles of ripe, yellow bananas, red tomatoes, and green avocados. To know how many there are, you need to count! Counting helps us everywhere, every single day.
1. Counting Our Treasures Like a Pro!
Counting to 100 is like climbing a tall tree, one branch at a time. The easiest way to climb is by counting in groups of ten. Let's chant together!
- 10 - Ten
- 20 - Twenty
- 30 - Thirty
- 40 - Forty
- 50 - Fifty
- 60 - Sixty
- 70 - Seventy
- 80 - Eighty
- 90 - Ninety
- 100 - One Hundred! Hongera! (Congratulations!)
When you can count in tens, you can easily find any number in between. For example, after 20 comes 21, 22, 23, and so on!
Image Suggestion: [A vibrant, colourful illustration in the style of a children's storybook. A group of happy Kenyan school children in uniform are standing in a line, each holding up a flashcard with a number (10, 20, 30, up to 100). The background is a cheerful, sunny school compound with acacia trees.]
2. The Super-Secret of Numbers: Tens and Ones
Have you ever wondered what a number like 47 really means? It's not just a 4 and a 7 sitting together. They have special jobs! This is called Place Value.
- The number on the right is the Ones place. It tells us how many single items we have.
- The number on the left is the Tens place. It tells us how many bundles of ten we have.
Think of it like bundling maize cobs. If you have 47 cobs of maize:
You would make 4 bundles with 10 cobs in each bundle, and you would have 7 single cobs left over.
Let's look at the number 47 in our Place Value House:
+----------+----------+
| Tens | Ones |
+----------+----------+
| 4 | 7 |
+----------+----------+
This means:
4 Tens = 40
7 Ones = 7
-----------------
Total = 47
Image Suggestion: [A clear, educational diagram showing the concept of place value. On the left, a friendly teacher points to four bundles of 10 sticks tied with a string, labeled "4 Tens". On the right, there are seven individual sticks labeled "7 Ones". The number "47" is written boldly at the bottom.]
3. The Great Number Challenge: Who is Bigger?
Sometimes we need to know which number is bigger. Imagine Kamau has 25 shillings and Akinyi has 32 shillings. Who can buy more sweets?
Akinyi can, because 32 is bigger than 25! We use special signs to show this. Think of them as a hungry crocodile's mouth. The crocodile always wants to eat the bigger number!
ASCII Art: The Hungry Crocodile
> (Greater Than)
/
-----
\
< (Less Than)
= (Equal To - when the numbers are the same)
So, we can write:
// Kamau's money is LESS THAN Akinyi's money
25 < 32
// Akinyi's money is GREATER THAN Kamau's money
32 > 25
// If they both had 50 shillings
50 = 50
4. Lining Up Our Numbers! (Ordering)
Great work! Now let's put numbers in order, just like students lining up for assembly.
- Ascending Order: This is when we arrange numbers from the smallest to the biggest. Think of a small seed ascending (growing up) into a big tree!
- Descending Order: This is when we arrange numbers from the biggest to the smallest. Think of you descending (coming down) from a slide!
Example Story: The children in Grade 1 measured their heights. Juma is 85 cm, Wema is 92 cm, and Ali is 89 cm tall.
Let's arrange their heights in ascending order (shortest to tallest):
85, 89, 92Now, let's arrange them in descending order (tallest to shortest):
92, 89, 85
Time for a Fun Challenge!
You are doing an amazing job. Let's see what you've learned. Try to solve this little puzzle.
The local farmer has three baskets of mangoes.
- Basket A has 56 mangoes.
- Basket B has 65 mangoes.
- Basket C has 49 mangoes.
Question 1: Which basket has more mangoes, Basket A or Basket C? Use the > or < sign.
Question 2: Arrange the number of mangoes in all three baskets in ascending order.
You are a Number Champion!
Wow! Look at everything you have learned today. You can count to 100, understand Tens and Ones, compare numbers, and put them in order. You are a true mathematician! Keep practising by counting things around you - cars on the road, books on your shelf, or even the stars in the sky. Numbers are everywhere, and now you understand their secrets. Well done!
Habari Mwanafunzi Mwerevu! Welcome to the Number Adventure!
Hello, smart student! Today, we are going on an exciting safari, not to see lions or elephants, but to explore the wonderful world of numbers all the way from 1 to 100! Just like counting the matatus on a busy Nairobi street or the mangoes on a tree, numbers are everywhere. Are you ready? Let's begin!
Part 1: Counting Faster with Bundles!
Counting one by one... 1, 2, 3... can take a long time, especially when you get to 100! Let's learn a faster way. Imagine you are helping your mama at the market to tie sukuma wiki. Instead of selling one leaf at a time, you make bundles of ten. This is exactly how we can count big numbers easily!
Let's count together in bundles of ten:
- 1 bundle of ten is 10 (Ten)
- 2 bundles of ten is 20 (Twenty)
- 3 bundles of ten is 30 (Thirty)
- 4 bundles of ten is 40 (Forty)
- 5 bundles of ten is 50 (Fifty)
- 6 bundles of ten is 60 (Sixty)
- 7 bundles of ten is 70 (Seventy)
- 8 bundles of ten is 80 (Eighty)
- 9 bundles of ten is 90 (Ninety)
- 10 bundles of ten is 100 (One Hundred!)
|||||||||| |||||||||| ||||||||||
(10) (10) (10)
Look! 3 bundles make 30!
Part 2: The Tens and Ones Family
Every number bigger than 9 has a family. It lives in two houses: the Tens House and the Ones House. The number in the Tens house tells us how many bundles of ten we have. The number in the Ones house tells us how many single items are left over.
Let's look at the number 34.
- The number 3 is in the Tens House. This means we have 3 bundles of ten.
- The number 4 is in the Ones House. This means we have 4 single ones left.
Number: 47
Tens House | Ones House
--------------------
4 | 7
This means: 4 Tens + 7 Ones
(40 + 7 = 47)
Scenario: You go to the duka (shop) with your friend Ali. You have 25 shillings. This means you have two 10-shilling coins (Tens) and one 5-shilling coin (Ones). You can buy more than Ali, who only has 8 shillings (just 8 Ones)!
Image Suggestion: [A vibrant, colourful cartoon illustration in the style of Kenyan children's books. Two houses are shown side-by-side. The 'Tens House' is shaped like a 'T' and has bundles of 10 sticks inside. The 'Ones House' is shaped like an 'O' and has single sticks. A happy Kenyan child is sorting maize kernels, putting groups of 10 into the Tens House and single kernels into the Ones House to represent the number 53.]
Part 3: Who is Bigger? Meet the Hungry Mamba!
Sometimes we need to know which number is bigger. Let's imagine we have a very hungry mamba (crocodile). This mamba always wants to eat the biggest number! Its mouth always opens towards the larger meal.
The mamba's mouth:
< (Less than)
> (Greater than)
So, 5 > 2 (The mamba eats the 5!)
And, 10 < 20 (The mamba eats the 20!)
How to compare numbers easily:
- First, look at the number in the Tens House. The number with the bigger Ten is the bigger number. For example, in 62 and 49, 6 is bigger than 4, so 62 is bigger!
- If the Tens are the same, then you look at the number in the Ones House. For example, in 85 and 88, the Tens (8) are the same. So we look at the Ones. 8 is bigger than 5, so 88 is the bigger number!
Let's compare 71 and 59:
1. Look at the Tens: 7 is bigger than 5.
2. We don't need to look at the Ones!
3. So, 71 > 59
Let's compare 34 and 38:
1. Look at the Tens: They are both 3. They are equal!
2. Now, look at the Ones: 8 is bigger than 4.
3. So, 34 < 38
Image Suggestion: [A friendly, cartoon green mamba (crocodile) floating in a river between two large, colourful number blocks. The number '81' is on the left, and '45' is on the right. The mamba's mouth is wide open towards the '81' block, showing that it's greater than 45.]
Part 4: Tufanye Mazoezi! (Let's Practice!)
Wow, you are doing so well! Now it's time to show off your new number skills. Try these questions.
- Question 1: How many Tens and Ones are in the number 68?
- Question 2: What number is made of 9 Tens and 1 One?
- Question 3: Fill in the blank with <, >, or =.
43 ___ 34 - Question 4: Fill in the blank with <, >, or =.
92 ___ 97
Answers:
1. 6 Tens and 8 Ones.
2. The number is 91.
3. 43 > 34 (because 4 Tens is more than 3 Tens).
4. 92 < 97 (because the Tens are the same, and 7 Ones is more than 2 Ones).
Hongera! You are a Number Hero!
Congratulations! You have done an amazing job on our number safari today. You learned how to count in tens, understand the Tens and Ones family, and compare numbers like a true champion. Keep practicing every day when you see numbers on signs, in books, or at the shop.
Tuko pamoja! You are on your way to becoming a Maths whiz!
Pro Tip
Take your own short notes while going through the topics.