4.NF.5 - About the Math, Learning Targets, and Rigor

Grade 4 Decimals

4.NF.5

Full Standard

Express a fraction with denominator 10 as an equivalent fraction with denominator 100, and use this technique to add two fractions with respective denominators 10 and 100. For example, express 3/10 as 30/100, and add 3/10 + 4/100 = 34/100.

 

Measurement Topic

This standard is reported on the report card in these quarters as follows:

4th Grade Students Learning 4th Grade Standards
Quarter 1 Quarter 2 Quarter 3 Quarter 4

 

 

Report Card Measurement Topic: Demonstrates understanding of number, fraction, and decimal concepts.

 

3rd Grade Students Learning 4th Grade Standards
Quarter 1 Quarter 2 Quarter 3 Quarter 4

 

 

Report Card Measurement Topic: Demonstrates understanding of number and fraction concepts.

 

Learning Targets

  • Write a fraction with a denominator of 10 as an equivalent fraction with a denominator of 100.
  • Represent addition of fractions with denominators of 10 and 100.
  • Add two fractions with denominators 10 and 100.

 

About the Math

This standard is critical for understanding the relationship between fractions and decimals. Denominators of 10 and 100 have obvious connections to decimals (tenths and hundredths). Understanding the fraction equivalents enables students to work with decimal equivalents. This understanding is the applied to comparing and computing with decimals.

 

Essential vocabulary for this standard includes tenths, hundredths, sum, and addend. Visit the online dictionary Links to an external site., multilingual dictionary Links to an external site. for vocabulary support.

 

 

Progression of Standard within Grade 4

This progression informs how to develop the standard within the grade level. This progression is provided by HCPSS Elementary Mathematics.

Progression Throughout Year
Quarter 1 Quarter 2 Quarter 3 Quarter 4
 
  • Write a fraction with a denominator of 10 as an equivalent fraction with a denominator of 100.
  • Represent addition of fractions with denominators of 10 and 100.
  • Add two fractions with denominators 10 and 100.
continue if needed

 

 

Progression of this Standard Across Grades

This progression is informed by the Achieve the Core Coherence Map Links to an external site.. Information is not the complete standard.

Progression Across Grades
Grade 3 Grade 5
  • Understand unit fractions (3.NF.1)
  • Explain and generate equivalent fractions and compare fractions by reasoning about their size (3.NF.3)
  • Understand the place value system (5.NBT.1)

 

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