Mathematics

2.1 Count, read and write whole numbers from 0 up to 500

Activity 2.1.1

Study the picture and tell your friend the numbers you have see on it

Activity 2.1.2

Read loudly numbers on a), b), c) and d) using number names

Activity 2.1.3

Read numbers you see on the sign posts

Activity 2.1.4

Study the following numbers and read them in a loud voice

Activity 2.1.5

Count in hundreds and complete the following number line

Activity 2.1.6

Fill in the missing numbers

Activity 2.1.7

Fill in the missing numbers

Activity 2.1.8

2.1.7You have a container with number cards for the following numbers: 242, 318, 425, 499 and 384. 

Pick randomly one number card from the container and tell your collegue the number you have picked.

Activity 2.1.9

Take 10 number cards with successive numbers between 200 and 500. 

Arrange them from the smallest to largest.

Activity 2.1.1

Study the following pictures. What do you see ?

Using your own number cards, arrange numbers from 200 up to 500.

Activity 2.1.11

Fill in the missing numbers on the following number lines:

Activity 2.1.12

Fill in the missing numbers on the following number lines.

Activity 2.1.13

Write numbers in words:

Activity 2.1.14

Activity 2.1.15

Read and write these numbers in words

Activity 2.1.16

2.2 Place values of numbers from 0 up to 500

Activity 2.2.1

Use the example and write the numbers that follow in the table of place values

Activity 2.2.2

Use the table of place values to group numbers into hundreds (H), tens (T) and ones (O).

Activity 2.2.3

2.3 Comparing numbers from 0 up to 500

Activity 2.3.1

Activity 2.3.2

Put them on a table and use cards symbol <, > or = to compare the numbers.

Activity 2.3.3

Activity 2.3.4

The number of carrots produced by each class is given in this table:

Compare the harvest for the following classes:

2.4 Arrange numbers within 500 in ascending or descending order

2.4.1 Arrange numbers from the smallest to the largest.

Activity 2.4.1

Activity 2.4.2

Activity 2.4.3

2.4.2 Arranging numbers from the largest to the smallest.

Activity 2.4.3

Activity 2.4.4

Do the same and arrange your number cards from the largest to the smallest number.

Arrange the following numbers from the largest to the smallest number

2.5 Addition of numbers whose sum does not exceed 500

2.5.1 Mental calculation

Activity 2.5.1

Activity 2.5.2

2.5.2 Addition without carrying

Activity 2.5.3

Tell the activity taking place in the pictures below

Activity 2.5.4

2.5.5

Activity 2.5.6

Activity 2.5.7

Activity 2.5.8

2.6 Word problems involving the addition of numbers whose highest sum is 500

Example:

Solution

The total marks for Nahimana: 225 + 215 = 440

The total marks for Nahimana is 440.

Questions:

1. Today the school leader buys 265 books for Mathematics and 19 books for Kinyarwanda. How many books does he

buy altogether?

2. Kanyinya Village planted 312 trees during Umuganda.

Kinyinya Village also planted 188 trees. How many trees were planted altogether?

2.7 Subtraction of numbers within the range of 500

2.7.1 Mental calculation

Activity 2.7.1

2.7. 2 Subtraction without borrowing

Activity 2.7.3

Activity 2.7.4

Activity 2.7.5

Then, 496 - 223 = 273

Work out :

2.7.3 Subtraction with Borrowing

Activity 2.7.6

2.8 Solve problems involving subtraction in real life situations

Activity 2.8

Example:

Our school has 378 as the total number of pupils. However, 132 pupils are in P6. How many pupils will remain after the departure of P6 pupils ?

Solution:

There will remain: 378 - 132 = 246

1.     Tito has got 170 eggs. In this morning 87 were broken. How many eggs are left?

2.     Makuza has 466 sacks of beans. His Sister has 387 sacks of beans.

        a) Who has more beans ?

       b) What is the difference between the sacks of the two people ?

2.9 Multiplication of whole numbers by 4 and the multiples of 4

Activity 2.9.1

Note

The multiplication by 4 looks like the repeated addition of fours.

Activity 2.9.2

Use the multiplication by 4 to complete the missing number

2.10 Multiply a two-digit number by 4

Activity 2.10 .1

Activity 2.10 .2

2.11 Word problems involving the multiplication of a number by 4

Activity 2.11

Study the worked out example below:

We are 42 pupils in the classroom. Every pupil has 4 books.

Find the total number of books we have in our classroom.

Solution:

Total number of books: 42 × 4 = 168

The total number of books is 168

Solve the following problems:

1.     At our school we are 82 pupils. We are going to plant trees so that every pupil plants 4 trees. How many trees

         shall we plant altogether?

2.     In the morning assemble the P3 pupils stand in rows in front of their classroom. If there are 22 pupils on each

        row, find the total number of pupils in the assembly.

2.12 Division of a number by 4

Activity 2.12.1

2.13 Division of a two or three-digit numbers by 4 without a Remainder

Activity 2.13.1

Activity 2.13.2

2.14 Word problems involving the division of a number by 4

Activity 2.14

Example:

The head teacher bought 488 books. These books were shared equally to 4 classes. 

How many books did each class get?

Solution:

Each class received: 488 : 4 = 122 

Each class got 122 books.

Solve the following problems:

1. We are 4 children at home. Our Mum wants us to share 144 notebooks equally. How many notebooks does each child get?

2. There are 368 people in the conference hall. People sit in 4 equal columns. How many people are in each column?

2.15 Multiplication of whole numbers by 5 and the multiples of 5

Activity 2.15.1

Note

Activity 1.15.2

Fill in the missing number in the multiplication table by 5

2.16 Multiply a two-digit number by 5

Activity 2.16 .1

Then, 21 x 5 = 105

Find the answer by using the table of place values:

Activity 2.16.2

2.17 Word problems involving the multiplication by 5

Solution:

The number of all chairs: 91 x 5 = 455 

The number of all chairs is 455

Solve the following word problems:

1.      During the distribution of mosquito nets, each family received 5 mosquito nets. How many nets were given to 81 families ?

2.      If there are 5 cups on each tray, how many cups are there on 41 trays ?

3.      There are 61 benches in the conference hall. How manypeople can sit in the conference hall if only 5 can sit on each

           bench ?

4.      One family has 5 people. How many people are in 31 families ?

5.       There are 40 bottles of water in each box. How many bottles of water are in 5 boxes ?

2.18 Division of a two or three-digit number by 5 without a remainder

Activity 2.18.1

Activity 2.18.2

Activity 2.18.3

2.19 Word problems involving the division of a two or 3 digit number by 5

Activity 2.19

Example:

You have 65 oranges. If you share them equally among 5

 pupils, how many oranges will each pupil get?

Solution:

One pupil can get: 65 : 5 = 13 

One pupil can get 13 oranges.

Then solve the following problems:

1. The cooperative of 5 farmers has 495 cows. If they share their cows equally, how many cows will each farmer get?

2. The health Center has 385 mosquito nets to be distributed equally to 5 villages in our Cell. Find the number of mosquito nets for each village.

END UNIT ASSESSMENT 2

1. Write in words or in figures

   (a) 497

   (b) Three hundred eighty six.

2. Underline the correct answer

       (a) 3Ones 6Tens 4Hundreds = 1) 364 2) 463 3) 346

      (b) 3Hundreds 2Ones 4Tens = 1) 324 2) 423 3) 342

3. Write the expanded number

             (a) (4 × 100) + (8 × 10) + (7 × 1) =

             (b) 300 + 70 + 6 =

4. Write each number in the table of place values

      (a) 268         (b) 475       (c) 473        (d) 352

6. Arrange the following numbers in ascending order

(from the smallest to the largest)

    439,      349,     493,    394,    387,    479

7. Arrange the following numbers in descending order

(from the largest to the smallest)

293, 239, 387, 470, 389, 499

8. Work out the following: 

       (a) 234 + 253 =                                            (c) 378 + 114 =

       (b) 257 + 208 =                                           (d) 369 + 128 =

 Find the difference: 

(a) 459 – 327 =                          (c) 367 – 236 = 

(b) 453 – 345 =                          (d) 381 – 274 =

10. Complete the following multiplication or division table:

11. Work out the following product:

12. Find the missing numbers in the following multiplication table:

13. Work out the following division by using the standard written form.

14. Word problems

      a) Our Village planted 256 trees. The neighboring Village also planted 239 trees. Find the total number of trees planted

       by the two villages.

      b) Our school has 489 pupils. The number of boys is 297. Find the number of girls.

      c) Head Mistress gave 4 books to every pupil. How many books did she give to 72 pupils?

      d) Shared 496 books equally among 4 classrooms. How many books can each classroom get?

      e) Chose the right answer:

       Gisa shared equally 450 pineapples to 5 shops. Each shop got:

                 (i) 450 – 5 = 445 pineapples

                (ii) 450 + 5 = 455 pineapples

                (iii) 450 : 5 = 90 pineapples

             f) Muhoza has 196 sweets. He wants to share them equally

               among his 5friends . How many sweets will one each get?