#### MAT-04.NF.02

 MAT-04 Targeted Standards(NF) Domain: Number and Operations - FractionsCluster: Extend understanding of fraction equivalence and ordering. MAT-04.NF.02 Comparing Fractions s 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 >, =, and < and justify the conclusions, e.g., by using a visual fraction model.

## Student Learning Targets:

### Reasoning Targets

• I can compare fractions with different numerators and different denominators.
• I can understand in order to compare fractions, I need to use the same whole.
• I can justify and explain why my answer is reasonable.

### Skills (Performance) Targets

• I can use fraction models and pictures to compare fractions.
• I can order fractions on a number line.
• I can use the >,<, and = symbols to compare fractions.

## Rubric / Proficiency Scale

 Score Description Sample Activity 4.0 Advanced Criteria is Under Development. In addition to Score 3.0 performance, the student demonstrates in-depth inferences and applications regarding the more complex content. - 3.5 In addition to Score 3.0 performance, the student demonstrates in-depth inferences and applications regarding the more complex content with partial success. 3.0 Student is able to compare two fractions with different numerators and denominators, recognize comparisons are only valid when the fractions refer to the same whole, record results using >,<,= symbols, order fractions on a number line, and justify the conclusions using a visual fraction model and explanation. I can understand in order to compare fractions, I need to use the same whole. I can justify and explain why my answer is reasonable. I can order fractions on a number line. Students compare fractions using >,<,=. Students justify answers using fraction models and explanations. Students order fractions with unlike numerators and denominators on a number line. 2.5 No major errors or emissions regarding 2.0 content and partial knowledge of the 3.0 content. 2.0 Student is able to compare two fractions with different numerators and denominators using >,<,= symbols and justify answers using a visual fraction model. I can compare fraction pictures using >,<, and = symbols. I can use fraction models and pictures to justify my answers. I can compare fractions with unlike denominators and numerators. Students compare fractions using >,<,=. Students use given wholes to draw/show fractions. 1.5 In addition to 1.0 content, student has partial knowledge of the 2.0 and/or 3.0 content. 1.0 Student is able to compare two fractions with like numerators and like denominators using >,<,= symbols to record the results. I can compare fraction pictures using >,<, and = symbols. Students use >,<, = symbols to compare fractions with like denominators or numerators, given a picture representation of the fractions. 0.5 Limited or no understanding of the skill is demonstrated.

## Resources

### Vocabulary

• fraction
• unit fraction
• equivalent
• numerator
• denominator
• benchmark fraction
• >,<,= symbols
• compare
• common denominators
• fraction model