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5th Grade Unit 1: Equal Partitioning

Page history last edited by Gena Barnhill 10 months ago

 

5th Grade Unit 1: Equal Partitioning

Unit Driving Question

How do we represent parts of wholes and connect them to real world situations?

 

Essential Questions 

  1. How do we describe numbers that are parts of a whole number?

  2. How are parts of a whole number represented and communicated?

  3. How do you read and write numbers?

  4. What is the relationship between fractions and decimals?

  5. How do you compare and order fractions and decimals?

  6. What is the relationship between place values?

 

Big Ideas 

  1. The relationship of digits and their values communicate information about the fractional part of a number.
  2. Equivalencies exist among fractions and decimals and can be compared and ordered. 

 

Technology Resources

Launch Task

1 Lesson 

 

Big Ideas for Development Lessons

5 Weeks (approximately 2-3 weeks per big idea) 

Big Idea 1: The relationship of digits and their values communicate information about the fractional part of a number.

OAS-M: 5.N.1.15.N.1.25.N.3.4

Collaborative Engagement

 

 

Key Resources

  • Decimal Grid - 12 blank 10x10 grids that can be used in a variety of ways to represent decimal fractions

  • Decimals Lesson from the National Math and Science Initiative - This lesson focuses on the idea that fractions and decimals are the same thing represented differently.  There are 3 great activities plus a Venn diagram to compare the similarities and differences of parts of a whole.

  • Cool Math Decimal lessons - Engaging online lessons that are great for teachers without a standard curriculum.  Students can use these lessons as self-pacing or re-engagement activities.  Teachers can use this as a way for them to teach the concept.  This is a good online resource.  Use lessons 1-5 with this unit. 

Evidence of Understanding

 

  • Explain how place value effects digits
    • Each place value to the right is divided by 10
    • Each place value to the left is multiplied by 10 
  • Demonstrate numbers if standard, expanded, and written forms
  • Find 0.1, 0.01, and 0.001 more and less of a given number
  • Produce a variety of models of decimal fractions
  • Convert decimals to fractions and fractions to decimals with denominators of 10, 100, and 1000, and find their equivalency
  • Apply decimal fractions to metric measurement and money.

 

Big Idea 2: Equivalencies exist among fractions and decimals and can be compared and ordered.

OAS-M: 5.N.1.45.N.1.35.GM.3.25.GM.3.35.GM.3.4

Collaborative Engagement

 

 

Key Resources

 

 

Big Idea Formative Assessment

 

  • Ordering Decimals - Uses Olympic swim times that students have to order from least to greatest and provide five, true inequalities.
  • Probe Compare Fractions -Probe from OKMAP assessing students on the ability to compare fractions. 
  • Probe Size of Decimals - Probe from OKMAP that has students find equivalent fractions and decimals

 

To learn more about how to use the OKMAP common formative assessment probes, complete the NextThought Formative Assessment Probes training module.   

 

Evidence of Understanding 

 

  • Recognize and generate equivalent numbers

    • Decimals to decimals

    • Fractions to fractions

    • Decimals to fractions, and fractions to decimals

    • Mixed numbers to fractions greater than one and fractions greater than one to mixed numbers

  • Use a number line to compare and order fractions and/or decimals

  • Compare and order fractions and/or decimals

    • Generate equivalencies when needed

    • Utilize benchmark fractions to help compare

    • Demonstrate accurate measurement to the 1/16 inch

    • Describe the fractional equivalencies on tools of linear measurement. 

Unit Closure

1 Week (includes time for probes, re-engagement, and assessment)

Re-engagement

 

 

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