math computation and estimation

MATH Computation and Estimation

5.3 The student will create and solve problems involving addition, subtraction, multiplication, and

division of whole numbers, using paper and pencil, estimation, mental computation, and calculators.

5.5 The student, given a dividend of four digits or fewer and a divisor of two digits or fewer, will find the

quotient and remainder.

LOC AAMVA

SOLVING WORD PROBLEMSIN DIVISION AND MULTIPLICATION

•Take a look at this picture. Tell me what you see.

•What do you think this is a picture of? Where?

• What do you see that makes you think that?

What do you see now?

• And now, look carefully, what do you see? • Where do you think this photograph was taken? • What is happening? • Why?

And now, what do you see?

What can you add to your observation?

What

do you see now?

What’s

your

Hypothesis?

And now?

What’s your

Hypothesis?

•How many more do you think there are?

•Why are there so many of them?

•How many should there be?

• Who are they?

• How are they dressed?

•What are they holding?

What will they do with it?

Where are they going?

And now?

What do you see?

What do you thinking is happening?

What is your hypothesis about this picture?

What do we call a group of soldiers who head to a battle and fight on foot?

An Infantry .

An Infantry is a group of soldiers trained, armed, and equipped to fight on foot.

• How many soldiers are there in this infantry group? Let’s count them.

•Let’s just say that

1 troop = 13 soldiers

• Let’s say for example:

“ Every troop of infantry has 13 soldiers.”

The question is:

If we count 679 soldiers, then how many infantry troops are there?

• Remember that the word EVERY = 1

The question is:

If we count 679 soldiers,

how many infantry troops are there?

To solve this problem I need to ask myself:

1- What does the problem want me to find?

The Number of troops.

2 What facts do I already know?

• I know that:

• Every infantry = 13 soldiers

• And that there are 679 soldiers

• I want to find out how many infantry troops there are.

soldiers Troops

• 13 soldiers = 1 troop

• 679 soldiers How many Troops?

• I know that Every means 1• Let’s set up the problem:• The words important words in the question that I

need to pay attention to are:soldiers and Troops

• I will write them down. • Now, I will read the problem again • Then align my numbers with the words they go

with. • soldiers Troops• 13 soldiers 1 troop• 679 soldiers ? Troops?

• I’ll read that like this:• If 13 soldiers make 1 troop, 679 soldiers make

how many troops?

13 soldiers 1 troop

679 soldiers ? Troops?

13 soldiers 1 troop

679 soldiers ? Troops?_____________________________

679 x 1 = 679

679 x 1 = The line means division. 13679 __.__ 13 = 59 .

It’s your turn to practice.You’ll be working with a partner. From the pictures on the back table,

pick a picture, solve the problem on the back. After you’ve don’t that , some of you may be able to write a division problem about it.

**************************************************** Here is some guiding questions.Think about your picture, look for the items that there are a lot of … What do you usually do with these items? How do they come in real

life? Pencils? For example, books, What do you do with them? Read them? How many in 1 week? How many in one day? what’s the total?

Think of a large number, that you might divide into groups.

You may want to think about : “how they come in real life or how they are grouped.”