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Model With Math

Key Concepts

  • Model problems using equations, drawings and arrays 

Equation

First, find the equation of an array and add them row-wise or column-wise. 

Example: 

Write the equation for the given array. 

example: pumpkin

Solution: 

Here, there are 2 rows and 3 columns. 

So, the row-wise equation of the image is 3 + 3 = 6. 

There are 6 pumpkins present in the image. 

Drawing

Draw the image of the array and solve the problem. 

Example: 

Rachel ate 3 slices of pizza each day. Write how many slices of pizza she ate at the end of 3rd day. Draw the array and find the answer. 

Solution: 

pizza solution

She ate 3 slices of pizza on day 1. 

On the 2nd day, she ate 3 slices of pizza. 

On the 3rd day, she ate 3 slices of pizza. 

So, at the end of the 3rd day, she ate 3 + 3 + 3 = 9 slices of pizza. 

Therefore, Rachel ate 9 slices of pizza in total. 

Example: 

Hal arranged the leaves into 3 rows and 3 columns. How many leaves does Hal have in all? 

leaves example

Solution: 

Here, there are 3 rows and 3 columns. 

So, the equation of the image is 3 + 3 + 3 = 9. 

There are 9 leaves present in the image. 

Example: 

Mindy draws 5 rows of stars in her notebook. In each row, she placed 5 columns of stars. So, how many stars does she draws? 

star example

Solution: 

Here, there are 5 rows and 5 columns. 

So, the equation of the image is 5 + 5 + 5 + 5 + 5 = 25. 

There are 25 stars present in the image. 

Example: 

Nill has a collection of sunglasses. He placed those in 3 rows and 3 columns. So, how many sunglasses does he have in total?  

glasses example

Solution: 

Here, there are 3 rows and 3 columns. 

So, the equation of the image is, 3 + 3 + 3 = 9. 

Exercise

  1. 2 rows of apples. 3 apples in each row. How many apples?
  2. 2 rows of cars. 4 cars per row. How many cars?
  3. Write two equations which explain the array.
Write two equations which explain the array.
  • Write the equation by rows for the array.
Write two equations which explain the array penguin
  • Write the equation by columns for the array.
Write the equation by columns for the array
  • Jolene puts cakes out on the table. She puts 3 rows of cakes with 4 in each row on the table. How many cakes does she have in all?
  • Write two equations which explains the array.
Write two equations which explains the array.
  • Write the equation by columns for the array.
Write the equation by columns for the array.
  • Write two equations which explains the array.
Write two equations which explains the array
  • Larry puts cupcakes on a plate. He puts 2 rows of cupcakes with 5 in each row. How many cupcakes does

What we have learned

  • How to solve problems by using equations, drawings and arrays?

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