Math Investigation – Operations with Fractions

This open-ended mathematics investigation has been designed to deepen students’ understanding of fractions.

In this investigation, students must use their knowledge and understanding of fractions to design a colorful floor rug for a home renovation competition. The floor rug design must adhere to a list of competition rules. Students must record and analyze their color choices on the worksheet provided.

This teaching resource includes:

• teacher notes, detailing a range of important information about the investigation
• a detailed description of the investigation for students, including step-by-step instructions
• two blank floor rug templates
• two ‘recording and analyzing’ worksheets
• reflection questions.

Common Core State Standards alignment

• Grade 4 > Standards for Mathematical Practice > Number & Operations - Fractions > Extend understanding of fraction equivalence and ordering > CCSS.MATH.CONTENT.4.NF.A.2

  Compare two fractions with different numerators and different denominators, e.g., by creating common denominators or numerators, or by comparing to a benchmark fraction such as 1/2. Recognize that comparisons are valid only when the two fractions ref...

• Grade 4 > Standards for Mathematical Practice > Number & Operations - Fractions > Build fractions from unit fractions > CCSS.MATH.CONTENT.4.NF.B.3 > CCSS.MATH.CONTENT.4.NF.B.3.A

  Understand addition and subtraction of fractions as joining and separating parts referring to the same whole....

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