In this fraction word problem, students will need to come to the conclusion that the two given fractions are equivalent even though they are asked which is greater. Students will also be asked to find the important details needed to solve (analyze the information), state the language a mathematician would use to discuss the problem (practice using academic language), and include multiple ways to find the answer. Finally, students will be asked to solve the problem different ways and explain their thinking.
Included in this lesson are:
+ 2 frames (one for independent solving and one with embedded cooperative learning structures for kids to work part of the activity together in groups and in partnerships) ***Directions are included for the cooperative learning structures. No experience necessary!
+ 4 different layouts to choose from for kids to work the problem and record their answers (great for differentiation)
+ 1 alternative frame with a different layout to work the different questions
+ 5 frames with the option to change the fractions given (so you can use the frames again and again!)
+ 2 pages that explain how to use each frame and the cooperative learning structures
+ 1 answer key with sample answers
Although this lesson is designed for GATE students, I still use it with my "Non GATE" learners, and they really enjoy it. Never used a Depth and Complexity Frame before? No problem! Directions are included! Teachers have the choice of using this as an independent activity, an assessment, as part of a math center, or as a way for kids to work together cooperatively as one of the sheets includes cooperative learning structures. This allows the kids the opportunity to verbalize their learning and communicate like mathematicians.
Students will have to determine if 6/8 is greater than 3/4, but if this is too easy or difficult, you have the option to use the fill in the fractions pages. This could be used as an introduction to equivalent fractions or comparing fractions. It can also can used as a mid assessment or as a CGI problem in which kids have to show their answers 4 different ways. Why not give the students the chance to model on the board how they solved? Now your other students can take what they've learned from their peers, and try it in the future or on the "Solve It Different Ways" page.
***This activity is also part of a combo pack which is paired with a decimal pack and a division pack. You can find this here:
Depth & Complexity Math Bundle: Division Fractions Decimals
If you like this packet, you may also like some of my other Depth & Complexity products:
Depth & Complexity Measurement and Data: Area and Perimeter
Depth & Complexity Operations and Algebraic Thinking: Addition and Subtraction
Depth & Complexity Foundations of Multiplication
Depth & Complexity Money Word Problem
Common Core Factors and Multiples Problems
Puzzlement Group Investigation Activity Organizer
Adaptations Depth & Complexity Science Frame and Activities
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