Lesson plan

# 10. Solve real-world problems involving mixed numbers with area model (A)

teaches Common Core State Standards CCSS.Math.Content.5.NF.B.5 http://corestandards.org/Math/Content/5/NF/B/5
teaches Common Core State Standards CCSS.Math.Content.5.NF.B.5a http://corestandards.org/Math/Content/5/NF/B/5/a
teaches Common Core State Standards CCSS.Math.Content.5.NF.B.5b http://corestandards.org/Math/Content/5/NF/B/5/b
teaches Common Core State Standards CCSS.Math.Content.5.NF.B.6 http://corestandards.org/Math/Content/5/NF/B/6
teaches Common Core State Standards CCSS.Math.Practice.MP2 http://corestandards.org/Math/Practice/MP2
teaches Common Core State Standards CCSS.Math.Practice.MP4 http://corestandards.org/Math/Practice/MP4
teaches Common Core State Standards CCSS.Math.Practice.MP6 http://corestandards.org/Math/Practice/MP6

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Lesson objective: Solve real-world problems with mixed numbers using an area model.

This lesson provides an opportunity for students to apply their knowledge and understanding of multiplying fractions and whole numbers to a real-life situation. Students are asked to find the area of three play yards with mixed number and whole number dimensions to determine whether two small play yards or one larger play yard has the largest area.

Key Concept students will use:

• scaling with positive, non-whole numbers has the same meaning as scaling with whole numbers.

Skills students will use:

• prior understanding of using area models to multiply fractions.
• prior understanding of decomposing mixed numbers (Grade 4, Unit 3).

Students engage in Mathematical Practice 4 modeling with mathematics as they calculate the area of rectangles with mixed number dimensions using area models. Students are asked to compare the areas.

Key vocabulary:

• area model
• decompose
• dimensions
• mixed numbers