# Curriculum Resource Guide: Fractions and Decimals

Resource ID#: 170387 Primary Type: Teaching Idea

### General Information

Subject(s): Mathematics
Grade Level(s): 3, 4, 5, 6, 7, 8
Intended Audience: Educators
Keywords: access points, fractions, decimals, universal design for learning
Instructional Component Type(s):
Instructional Design Framework(s): Direct Instruction
Resource Collection: Student Support Resources

## Aligned Standards

This vetted resource aligns to concepts or skills in these benchmarks.

## Aligned Access Points

This vetted resource aligns to concepts or skills in these access points.

MAFS.3.G.1.AP.2a
Partition a rectangle into equal parts with equal area.

MAFS.3.MD.1.AP.1b
Determine the equivalence between the number of minutes and the number of hours (e.g., 60 minutes = 1 hour) on a number line.

MAFS.3.NF.1.AP.1a
Identify the number of highlighted parts (numerator) of a given representation (rectangles and circles).

MAFS.3.NF.1.AP.1b
Identify the total number of parts (denominator) of a given representation (rectangles and circles).

MAFS.3.NF.1.AP.1c
Identify the fraction that matches the representation of partitioned rectangles and circles into halves, fourths, thirds, and eighths.

MAFS.4.NF.1.AP.1a
Determine equivalent fractions using visual fraction models and a number line.

MAFS.4.NF.1.AP.2a
Use =, <, or > to compare two fractions (fractions with a denominator or 10 or less).

MAFS.4.NF.1.AP.2b
Compare 2 given fractions that have different denominators.

MAFS.4.NF.2.AP.3a
Using a representation, decompose a fraction into multiple copies of a unit fraction (e.g., 3/4 = 1/4 + 1/4+ 1/4).

MAFS.4.NF.2.AP.3b
Add and subtract fractions with like denominators (2, 3, 4 or 8) using representations.

MAFS.4.NF.2.AP.3c
Solve word problems involving addition and subtraction of fractions with like denominators (2, 3, 4 or 8).

MAFS.4.NF.3.AP.5a
Find the equivalent fraction with denominators that are multiples of 10.

MAFS.4.NF.3.AP.6a
Identify the equivalent decimal form for a benchmark fraction.

MAFS.4.NF.3.AP.6b
Match a fraction (with a denominator of 10 or 100) with its decimal equivalent (5/10 = 0.5).

MAFS.4.NF.3.AP.6c
Read, write, or select decimals to the tenths place.

MAFS.4.NF.3.AP.7c
Compare two decimals expressed to the hundredths place with a value of less than 1 using a visual model.

MAFS.5.NBT.1.AP.3a
Read, write, or select a decimal to the hundredths place.

MAFS.5.NBT.1.AP.3b
Compare two decimals to the hundredths place, whose values are less than 1.

MAFS.5.NBT.1.AP.4a
Round decimals to the next whole number.

MAFS.5.NBT.1.AP.4b
Round decimals to the tenths place.

MAFS.5.NBT.1.AP.4c
Round decimals to the hundredths place.

MAFS.5.NBT.2.AP.7a
Solve one-step problems using decimals.

MAFS.5.NF.1.AP.1a
Add and subtract fractions with like denominators with sums greater than 1 represented by mixed numbers using visual fraction models.

MAFS.5.NF.1.AP.1b
Add or subtract fractions with unlike denominators within one whole unit on a number line.

MAFS.5.NF.1.AP.2a
Solve word problems involving the addition and subtraction of fractions using visual fraction models.

MAFS.5.NF.2.AP.4a
Multiply a fraction by a whole or mixed number using visual fraction models.

MAFS.6.NS.1.AP.1a
Divide fractions using visual fraction models.

MAFS.6.RP.1.AP.3a
Use ratios and reasoning to solve real-world mathematical problems (e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations).

MAFS.7.RP.1.AP.1a
Solve one-step problems involving unit rates associated with ratios of fractions.

MAFS.8.NS.1.AP.1a
Distinguish between rational and irrational numbers. Show that any number that can be expressed as a fraction is a rational number.

MAFS.8.NS.1.AP.1b
Using whole number numerators from 8 to 20 and odd whole number denominators from 3 to 7, identify rational decimal expansions.

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