Generic Rectangles

Generic Rectangles

​Lesson Goal

• ​I can explain what a generic rectangle is.

• ​I can use the generic rectangle model to multiply numbers

• ​I am able to complete a generic rectangle with missing values

• ​I can recognize mistakes in the generic rectangle model

Open Ended

What is a generic rectangle?

​A generic rectangle is...

​A model/diagram used to visualize multiplying numbers and expressions.

​

​It can be used to make multiplying more complex numbers easier.

​How would we solve this?

• ​Breakdown 325 into 300 + 20 +5

• ​Breakdown 46 into 40 + 6

• Multiply to calculate the areas represented by each by each of the six small rectangles

Multiple Choice

What is the area of rectangle A?

• $$12,000$$  

• $$1,200$$  

• $$18,000$$  

• $$12$$  

Multiple Choice

What is the area of rectangle B?

• $$8000$$   

• $$80$$   

•     $$800$$  

• $$120$$   

Multiple Choice

What is the area of rectangle E?

• $$1800$$    

•    $$120$$  

•     $$30$$  

•    $$800$$  

Multiple Choice

Which numerical multiplication sentence and sum correctly solves this generic rectangle?

•     $$1200+800+200+180+120+30$$  

•     $$12000+800+200+1800+120+30$$  

•      $$12000+800+200+1800+120+300$$  

•     $$12000+8000+200+1800+120+30$$  

​Solving Generic Rectangles with missing values

​You must use the values you have and what you know about multiplication to complete the model/diagram and solve.

Multiple Choice

Which generic rectangle below has been completed correctly?

Multiple Choice

Which generic rectangle below is filled out correctly?

Multiple Choice

Which generic rectangle is filled out correctly?

Multiple Choice

Solve this generic-rectangle puzzle.