Lesson plan

3. Solve problems involving fraction-decimal equivalence (A)

teaches Common Core State Standards CCSS.Math.Content.4.NF.C.5 http://corestandards.org/Math/Content/4/NF/C/5
teaches Common Core State Standards CCSS.Math.Content.4.NF.C.6 http://corestandards.org/Math/Content/4/NF/C/6
teaches Common Core State Standards CCSS.Math.Practice.MP3 http://corestandards.org/Math/Practice/MP3
teaches Common Core State Standards CCSS.Math.Practice.MP7 http://corestandards.org/Math/Practice/MP7
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Lesson objective: Connect student conceptual understanding of decimals and fractions with equivalence in word problems.

This lesson provides an opportunity for students to apply their knowledge and understanding of decimal and fraction equivelancy to a real-life situation. Students are asked to discover the video game scores of Helen, Oliver and Jacob using a number line (powerbar) given a set of rules. 

Key Concept students will use: 

  • Decimal notation is based on denominators that are powers of 10 (in 4th grade, they need to understand tenths and hundredths).

Skills students will use:

  • Understanding unit fractions (Grade 3, Unit 4)
  • Understanding equivalent fractions (Grade 3, Unit 10)
  • Understanding fraction equivalence and comparison (Grade 4, Unit 5)

Students engage in Mathematical Practice 7: Students will look for and make use of structure of the place value system and the relationship between decimals and fractions with denominators of 10 and 100, to apply their knowledge in a new context. 

Key vocabulary:

  • decimal
  • denominator
  • equal
  • greater than
  • less than
  • flat
  • model
  • numerator
  • representation
  • rod
  • unit
  • tenth
  • hundredth
  • whole

Special materials needed:

  • base 10 manipulatives
  • paper copies of flats
  • paper copies of rods
  • tiles