Grade 5
Number Sense and Operations in Fractions
- A
Understand the relationship between fractions and decimals (denominators that are factors of 100).5.NF.A
- 1
Understand that parts of a whole can be expressed as fractions and/or decimals.5.NF.A.1
- 2
Convert decimals to fractions and fractions to decimals. 5.NF.A.2
- 3
Compare and order fractions and/or decimals to the thousandths place using the symbols >, = or <, and justify the solution.5.NF.A.3
- 1
- B
Perform operations and solve problems with fractions and decimals.5.NF.B
- 4
Estimate results of sums, differences and products with fractions and decimals to the thousandths. 5.NF.B.4
- 5a
Estimate the size of the product based on the size of the two factors.5.NF.B.5a
- 5b
Explain why multiplying a given number by a fraction greater than 1 results in a product larger than the given number.5.NF.B.5b
- 5c
Explain why multiplying a given number by a fraction less than 1 results in a product smaller than the given number.5.NF.B.5c
- 5d
Explain why multiplying the numerator and denominator by the same number is equivalent to multiplying the fraction by 1.5.NF.B.5d
- 6
Solve problems involving addition and subtraction of fractions and mixed numbers with unlike denominators, and justify the solution.5.NF.B.6
- 7a
Recognize the relationship between multiplying fractions and finding the areas of rectangles with fractional side lengths. 5.NF.B.7a
- 7b
Calculate and interpret the product of a fraction by a whole number and a whole number by a fraction.5.NF.B.7b
- 7c
Calculate and interpret the product of two fractions less than one. 5.NF.B.7c
- 8a
Calculate and interpret the quotient of a unit fraction by a non-zero whole number. 5.NF.B.8a
- 8b
Calculate and interpret the quotient of a whole number by a unit fraction.5.NF.B.8b
- 4
Relationships and Algebraic Thinking
- A
Represent and analyze patterns and relationships. 5.RA.A
- 1a
Generate two numeric patterns given two rules.5.RA.A.1a
- 1b
Translate two numeric patterns into two sets of ordered pairs.5.RA.A.1b
- 1c
Graph numeric patterns on the Cartesian coordinate plane.5.RA.A.1c
- 1d
Identify the relationship between two numeric patterns.5.RA.A.1d
- 2
Write a rule to describe or explain a given numeric pattern.5.RA.A.2
- 1a
- C
Use the four operations to represent and solve problems. 5.RA.C
- 5
Solve and justify multi-step problems involving variables, whole numbers, fractions and decimals. 5.RA.C.5
- 5
Geometry and Measurement
- A
Classify two- and three- dimensional geometric shapes.5.GM.A
- 2
Classify figures in a hierarchy based on properties.5.GM.A.2
- 2
- B
Understand and compute volume. 5.GM.B
- 4a
Describe a cube with edge length 1 unit as a “unit cube” and is said to have “one cubic unit” of volume and can be used to measure volume.5.GM.B.4a
- 4b
Understand that the volume of a right rectangular prism can be found by stacking multiple layers of the base.5.GM.B.4b
- 4a
- C
Graph points on the Cartesian coordinate plane within the first quadrant to solve problems. 5.GM.C
- 6a
Represent the axes as scaled perpendicular number lines that both intersect at 0, the origin.5.GM.C.6a
- 6b
Identify any point on the Cartesian coordinate plane by its ordered pair coordinates.5.GM.C.6b
- 6c
Define the first number in an ordered pair as the horizontal distance from the origin. 5.GM.C.6c
- 6d
Define the second number in an ordered pair as the vertical distance from the origin.5.GM.C.6d
- 6a
- D
Solve problems involving measurement and conversions within a measurement system. 5.GM.D
- 9
Solve multi-step problems that require measurement conversions.5.GM.D.9
- 9
Data and Statistics
- A
Represent and analyze data.5.DS.A
- 2
Create a line plot to represent a given or generated data set, and analyze the data to answer questions and solve problems, recognizing the outliers and generating the median.5.DS.A.2
- 2
Frequently asked questions
- What grade levels do these standards cover?
- Grade 5
- Where can I read the official document?
- Mathematics Priority Standards: Grades K-12
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