# Syllabus for Grade 3

- Comparing numbers
- Abacus and place value
- Word problems

- Comparing numbers
- Abacus and place value
- Word problems

Let’s talk about what division really is — ** it is repeated subtraction**; much the way multiplication is

Let’s say I have the basic problem 16 ÷ 4. I could start with 16 and then subtract 4, subtract another 4, another 4, and another 4 until I run out and reach zero. I would have to do this 4 times. If I had 16 cookies that I wanted to share equally among 4 friends, I could do the “one for you, one for you, one for you, and one for you” process and still end up with 4 cookies for each.

But what about 375 ÷ 50? If I don’t know how to divide by double digit numbers, the repeated subtraction process might actually be a good choice . . . at least showing some number sense to know that 375 divided by 50 means **“How many 50’s in 375?”** I know if I subtract 50 six times, I still have 75 left. I can subtract another 50 and I have 25 left over. So 375 ÷ 50 = 7 with a remainder of 25.

Division |
Possible Split |
Calculation |
Answer |

69 ÷ 3 | 60 + 9 | (60 ÷ 3) = 20
(9 ÷ 3) = 3 |
20 + 3 = 23 |

391 ÷ 3 | 390 + 1 | (390 ÷ 3) = 130
(1 ÷ 3) = cannot be divided |
130 with Remainder 1 |

*Before* a child is ready to learn long division, he/she has to know: Continue reading

Face value of a digit is the digit itself whereas Place value can be termed as the location of the digit in the numeral.

The value of a place in the place value chart is 10 times the value of the place just to its right.

A quick look at the grade 2 lesson on introduction to multiplication

Taming the tables – Tips to introduce multiplication

An even number ** x** an even number = an even number

An odd number **x** an even number = an even number

An odd number** x** an odd number = an odd number

Listing down some methods to simplyfy addition.

**Doubles**(such as 6 + 6)**Near doubles**: Try adding a double and the remainder. Solve 7 + 6, (6 + 6+ 1) or (7 + 7 – 1).**Making a ten or a multiple of 10**: To add 7 + 6, I can take 3 from the 6 and put it with the 7 to make 10 and 3. This holds good even with multiples of 10 like 20, 30 40, etc**1 more, 1 less**: Show problems such as: 8 + 1, 51 + 1, and 6 – 1, 22-1**Place value Decomposition**: 35 + 22 can be decomposed into tens and ones 30+20 added to 5+2. Or 35 – 22 can be decomposed to 30-20 plus 5-2.

Pictorial representation of the strategies above :

**Sample IMO practice papers for Grade 2**