About This Lesson
<p>A 2 by 3 rectangle contains 8 squares and a 3 by 4 rectangle contains 20 squares. What size rectangle(s) contain(s) exactly 100 squares? Can you find them all?</p>Aligned to Common Core State Standards: 6.RP.3 , 7.RP.2 , 8.F.4
Grade Level
Grades 6-8
Resource Type
Activity
Standards Alignment
Common Core State Standards
License
Resources
Files
squares_in_rectangles.xls
External resources
Standards
Use ratio and rate reasoning to solve real-world and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations.
Recognize and represent proportional relationships between quantities.
Construct a function to model a linear relationship between two quantities. Determine the rate of change and initial value of the function from a description of a relationship or from two (?, ?) values, including reading these from a table or from a graph. Interpret the rate of change and initial value of a linear function in terms of the situation it models, and in terms of its graph or a table of values.
Reviews
4.0
2 Reviews
SML Member
December 19, 2011
hummelk
June 20, 2013
This interactive combines ratios and geometry and challenges students to think using both concepts.
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This is a really good rich task to use when studying area or factors, students are asked to find all the rectangles they can which have an area of 100 squares. This would make a great investigation which would give you some good insights into the students understanding of the topic. You could introduce it as a starter and then return to the question as a wrap up to ask students how they know they have found them all. The poster version on NRICH is nice and colorful, thank you for sharing.