IReady Lesson 19 Session 1 (Equivalent Expressions)

Equivalent Expressions

​Learning Targets

• Apply the properties of operations to generate equivalent expressions.

• Identify when two expressions are equivalent.

• Use the distributive property to express a sum of two whole numbers 1–100 with a

common factor as a multiple of a sum of two whole numbers with no common factor.

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• What is the problem about?
• What questions can you ask

that mathematics can answer?

Make sense of the problem

In the design for a new school, a classroom
needs to have the same width as a laboratory.
The architect wants the width to be as great as
possible. The length and width of each room
should be a whole number of meters.

In the design for a new school, a classroom needs to have the same width as a laboratory. The architect wants the width to be as great as possible. The length and width of each room should be a whole number of meters. 

What's the gist?

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Try It!

In the design for a new school, a classroom needs to have the same width as a laboratory. The architect wants the width to be as great as possible. The length and width of each room should be a whole number of meters. 

What length and width should the architect use for each room?

​

Try It!

How can you determine the greatest
possible width of the rooms?

​

Discuss!

The expressions 36+ 20and 4(9+ 5) both represent the area, in square feet, of the outer rectangle. They are equivalent expressions because they name the same value. Discuss what this means and how it makes sense, with your group.

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Let's connect it!