Problem-Solving: Model With Math Using Pictures

Introduction:

Strategies to add numbers:

1. By using models
2. By using a hundred chart
3. By using an open number line
4. By using place value,

1. By using models:

Find 26 + 32 = ?

Solution:  

26 + 32 = 58

2. By using a hundred charts:

Find 3 + 40 = ?

Solution: 

3 + 40 = 43

3. By using a number line:

Find 34 + 20 = ?

Solution:

34 + 20 = 54

4. By using place value:

Find 24 + 19 = ?

Solution:

First, add the ones and then the tens.

There are 4 tens and 3 ones.

24 + 19 = 43

So, we have seen different strategies to add numbers.

In this session, we are going to learn to solve word problems by using any one of the strategies.

Model with Math:   

Example 1:

Matt has 14 toy cars and 18 toy jeeps. How many toy cars and jeeps he has now? Use models to solve the answer.

Solution:

14 + 18 = ?

Add ones.

4 ones + 8 ones = 12 ones

12 ones has 1 ten and 2 ones.

Add tens.

1 ten + 1 ten + 1 ten = 3 tens

3 tens + 2 ones = 32

So, Matt has 32 toy vehicles in all.

Example 2:

Amy bought 19 red rose plants, and 25 white rose plants for her garden. How many rose plants did she buy? Use a number line to solve the problem.

Solution:

19 + 25 = ?

Start counting from 25.

19 has 1 ten and 9 ones.

25 + 10 = 35

Break 9 into 5 and 4.

35 + 5 = 40

40 + 4 = 44

So, 19 + 25 = 44

So, Amy bought a total of 44 rose plants.

Example 3:

There are 37 apples in the box. Rachel buys 19 more apples. How many apples are there in the box now?

Solution:

The total number of apples in the box = 37 + 19

37 + 19 = ?

Add ones.

7 ones + 9 ones = 16 ones

16 ones has 1 ten and 6 ones.

Add tens.

3 tens + 1 ten + 1 ten = 5 tens

5 tens + 6 ones = 56

So, there are 56 apples in the box.

Exercise:

1. Mary asks 34 students about their project work on Monday. She asks 19 students about their project on Tuesday. How many students did she ask on both days?
2. There are 25 chefs and 18 servants in the restaurant. How many people are working in the restaurant?
3. At a wedding, 56 cups of corn soup and 34 cups of mushroom soup were prepared. How many cups of soups were prepared.?
4. Amy writes 28 pages on Monday. Then he writes 17 pages on Tuesday. How many pages did she write in two days?
5. Ben has 15 red cars and 26 blue cars. How many cars does Ben have in all?
6. Ellen has 37 stickers. Her brother gave him 19 stickers. How many stickers does Ellen have in all?
7. Mike has 47 brown pebbles and 18 blue pebbles. How many pebbles does he have now?
8. There are 47 lions and 34 tigers in the wild animal national park. How many lions and tigers are there in total?
9. There are 19 apples and 27 strawberries in the fruit basket. How many fruits are there in total?
10. Amy picks 16 roses. Roger picks 48 tulips. How many flowers do Amy and roger pick in all?

Concept Map:

What We Learnt:

• We learned to solve an addition problem by drawing a picture and writing an equation.