1. Comparing and Ordering Fractions October 2, 2012

2. Learning Intentions and Success Criteria
We are learning to….
Use reasoning strategies to compare and order fractions.
Success Criteria
Explain the mathematical content and language in 3NF3d and 4NF2 and provide examples of the mathematics and language.

3. Standard 3NF3d & 4NF2
On your slate, provide an example of comparing fractions as described in this standard.
Share with your partner.

4. Standard 3NF3d
3. Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size.
d. Compare two fractions with the same numerator or the same denominator by reasoning about their size. Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with the symbols >, =, or <, and justify the conclusions, e.g., by using a visual fraction model.

5. Standard 4NF2
Compare two fractions with different numerators and different denominators, e.g., by creating common denominators or numerators, or by comparing to a benchmark fraction such as 1/2. Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with symbols >, =, or <, and justify the conclusions, e.g., by using a visual fraction model.

6. Compare Fractions by Reasoning about their Size
More of the same-size parts.
Same number of parts but different sizes.
More or less than one-half or one whole.
Distance from one-half or one whole (residual strategy–What’s missing?)
Write the strategy in your notebook and give an example of what this means.

7. Ordering Fractions # 1 Use reasoning strategies to order each set.

8. Ordering Fractions # 2 Write each fraction on a post it note.
Write 0, ½, 1, and 1 ½ on a post it note and place them on a number line as benchmark fractions.
Taking turns
Place one fraction on the number line
Explain your reasoning about the size of the fraction.

9. Ordering Fractions 3/8 3/10 6/5 7/47 7/100 25/26 7/15 13/24 17/12
3/8 3/10 6/5
7/47 7/100 25/26
7/15 13/24 17/12
8/3 16/17 5/3
7/100, 7/47, 3/10, 3/8, 7/15, 14/30, 13/24, 16/17, 25/26, 6/5, 11/9, 5/3, 17/12, 8/3

10. Extension of Unit Fraction Reasoning
Jason hiked 3/7 of the way around Devil’s Lake. Jenny hiked 3/5 of the way around the lake. Who hiked the farthest?
Use fraction strips and reasoning to explain your answer to this question.

11. The Garden Problem
Jim and Sarah each have a garden. The gardens are the same size. 5/6 of Jim’s garden is planted with corn. 7/8 of Sarah’s garden is planted with corn. Who has planted more corn in their garden?
Use fraction strips and reasoning to explain your answer to this question.

12. Reflect
Summarize how today’s work illustrates MP2 and MP6.

13. Learning Intentions and Success Criteria
We are learning to….
Use reasoning strategies to compare and order fractions.
Success Criteria
Explain the mathematical content and language in 3NF3d and 4NF2 and provide examples of the mathematics and language.