3.2 – Comparing and Ordering Fractions and Decimals

Today we got a start on comparing and ordering fractions.

We learned three ways to order fractions:

  • Benchmarks — using 0.5, 1, 1.5, 2 etc. as benchmarks and comparing the fractions to those benchmarks

 

  • Using Equivalent fractions
    • Step 1:  Convert any decimals to fractions and convert any mixed fractions to improper fractions
    • Step 3:  Find a common denominator and make equivalent fractions
    • Step 4:  Draw a number line and put the fractions on the number line.
    • Step 5:  Go back to the original fractions/decimals and put in order from least to greatest or greatest to least

 

  • Using Place Value
    • Step 1:  Use a calculator to convert all fractions to decimals.
    • Step 2:  Draw a number line and put the decimals on the number line.
    • Step 3:  Go back to the original fractions/decimals and put in order from least to greatest or greatest to least.

We also learned two ways to find a fraction between two numbers.

  • Using Equivalent Fractions
    • Step 1:  Take the original fractions, find a common denominator and find equivalent fractions.
    • Step 2:  Multiply the numerator and denominator of both fractions by 2.
    • Step 3:  Choose the fraction between.
    • Step 4:  Simplify (lowest terms and mixed fraction if possible)

 

  • Using Place Value
    • Step 1:  Convert fractions to decimals.
    • Step 2:  Choose a decimal between.
    • Step 3:  Convert back to a fraction.
    • Step 4:  Simplify  (lowest terms and mixed fraction if possible)

This concept is very difficult for many students so please make sure you are practicing at home and that the steps are included in your journal to help you out!

3.2 Teaching File — Again, this is my teaching file from last year.

3.2 Answer

We will review all concepts when I come back on Friday October. 14.

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