#### MAT-04.NF.07

 MAT-04 Targeted Standards(NF) Domain: Number and Operations - FractionsCluster: Understand decimal notation for fractions, and compare decimal fractions. MAT-04.NF.07 Compare two decimals to hundredths by reasoning about their size. Recognize that comparisons are valid only when the two decimals refer to the same whole. Record the results of comparisons with the symbols >, =, and < and justify the conclusions, e.g., by using a visual model.

## Student Learning Targets:

### Reasoning Targets

• I can compare two decimals to hundredths by reasoning about their size.
• I can understand in order to compare decimals, I need to use the same whole.
• I can justify and explain why my answer is reasonable.

### Skills (Performance) Targets

• I can use visual models to compare decimals and justify my reasoning.
• I can use the >,<, and = symbols to compare decimals.

## 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 decimals and use visual models and explanations to justify reasoning without error. I can justify and explain why my answer is reasonable. I can use >,<,= symbols to compare two decimals, with no mistakes. I can use a visual model to compare decimals, with no mistakes I can compare decimals to hundredths by reasoning about their size. I can understand in order to compare decimals, I need to use the same whole. Given two decimals, students use symbols to compare their size and justify reasoning with explanations and/or visual models. 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 decimals given a grid as a visual model without error. I can use >,<,= symbols to compare two decimals, with no mistakes. I can use a visual model to compare decimals, with no mistakes. I can compare decimals to hundredths by reasoning about their size. Given decimal grids, students compare two decimals using symbols and shading in the grids to represent decimal size. 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 demonstrate understanding of comparing decimals, given a grid as a visual model, but may have an error in representing the size of the decimal within the grid. I can use >,<,= symbols to compare two decimals. I can use a visual model to compare decimals, but I may have mistakes. I can compare decimals to hundredths by reasoning about their size. Given decimal grids, students compare two decimals using symbols and shading in the grids to represent decimal size. 0.5 Limited or no understanding of the skill is demonstrated.

## Resources

### Vocabulary

• fraction
• numerator
• denominator
• decimal
• equivalent
• tenths
• hundredths
• compare
• >, <, = symbols
• justify
• reasoning
• visual model