To elicit creative student thinking, this open-ended problem asks solvers to calculate the ratio of areas of a parallelogram.
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Solve It!: Parts of a Parallelogram
little problems with big solutions
Sherry L. Bair and JoAnn Cady
Sarah B. Bush, Karen S. Karp, Jennifer Nadler, and Katie Gibbons
By examining ratios in paintings and using a free educational app, students can size up artists' use of proportional reasoning in their creations.
Sherry L. Bair and JoAnn Cady
Solutions to a November 2013 Solve It problem are discussed, and the procedures used with problem solving are explored.
Solve It! Lemon Tea?
little problems with big solutions
Sherry L. Bair
To elicit creative student thinking, this open-ended problem asks solvers to calculate mixtures of lemon and tea.
Terri L. Kurz and Rolando Robles
iSTEM (Integrating Science, Technology, Engineering, and Mathematics) authors share ideas and activities that stimulate student interest in these integrated fields in K–grade 6 classrooms. This month, preservice teachers use Polydron® Revolution kits to design and create an amusement park ride that spins. The lesson integrates engineering design processes with mathematics to explore the concepts of proportional reasoning and least common multiple within the context of gears.
Rui Kang, Sheri Johnson, Emily Lambert,, and Candi Davidson
solve real-world and mathematical problems. Task 1.2, Task 1.3 (see table 3 ); Day 2 Tasks CCSS.MATH.CONTENT.6.RP.A.1: Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities
James C. Willingham, Jeremy F. Strayer, Angela T. Barlow, and Alyson E. Lischka
During a lesson on ratios involving percentages of paint, four research-based criteria are used to evaluate students' mistakes. The takeaway is that painting all mistakes with the same brush can also be a blunder.
Pruning Trees
big solutions to little problems
Jo Ann Cady and Pamela J. Wells
Solutions to a previous Solve It problem are discussed, and the procedures used with problem solving are explored.
Stephanie A. Casey and Jonathan D. Bostic
Implementing the practice of looking for and making use of structure differs when addressing statistics content standards compared with mathematics content standards. Read about suggestions for tuning out noise in data to teach SMP 7 in statistics.
Victor Mateas
Teachers can benefit from productive and manageable suggestions to align instruction to the intention of the Common Core's Standards for Mathematical Practice.