Lesson plan

17. Understand the relationships between two rational numbers (A)

teaches Common Core State Standards CCSS.Math.Content.6.NS.C.7a http://corestandards.org/Math/Content/6/NS/C/7/a
teaches Common Core State Standards CCSS.Math.Content.6.NS.C.7b http://corestandards.org/Math/Content/6/NS/C/7/b
teaches Common Core State Standards CCSS.Math.Content.6.NS.C.7c http://corestandards.org/Math/Content/6/NS/C/7/c
teaches Common Core State Standards CCSS.Math.Content.6.NS.C.7d http://corestandards.org/Math/Content/6/NS/C/7/d
teaches Common Core State Standards CCSS.Math.Practice.MP1 http://corestandards.org/Math/Practice/MP1
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Lesson objective: Compare rational numbers by determining their values.

This lesson provides an opportunity for students to apply their knowledge and understanding of rational numbers to a real-life situation. Students are asked to help a teacher match cafeteria balances with the correct student.

Key Concept students will use: 

  • There are three possible relationships between any two numbers, a and b (namely, a<b, a>b, or a=b) for the set of rational numbers.

Skills students will use:

  • the ability to compare fractions and decimals (Grade 4, Unit 5 & 12)
  • their understanding of integers

Students engage in Mathematical Practice 1 (Make sense of problems and pesevere in solving them) as they analyze the descriptions of each student's cafeteria balance, where each student's balance falls in terms of value, and explain to the teacher how she can be sure of the students' balances.

Key vocabulary: 

  • balance
  • compare
  • greater than
  • less than
  • order
  • rational numbers