Missouri Learning Standards
Missouri 5th grade math standards
Every 5th grade math standard in the Missouri Learning Standards: Mathematics, in Missouri's order, with the Lux lessons that teach it.
Number and Operations in Base Ten
- 5.NBT.A.1
Read, write and identify numbers from billions to thousandths using number names, base ten numerals and expanded form.
- 5.NBT.A.2
Compare two numbers from billions to thousandths using the symbols >, = or <, and justify the solution.
- 5.NBT.A.3
Understand that in a multi-digit number, a digit represents 1/10 times what it would represents in the place to its left.
- 5.NBT.A.4
Evaluate the value of powers of 10 and understand the relationship to the place value system.
- 5.NBT.A.5
Round numbers from billions to thousandths place.
- 5.NBT.A.6
Add and subtract multi-digit whole numbers and decimals to the thousandths place, and justify the solution.
- 5.NBT.A.7
Multiply multi-digit whole numbers and decimals to the hundredths place, and justify the solution.
- 5.NBT.A.8
Divide multi-digit whole numbers and decimals to the hundredths place using up to two-digit divisors and four-digit dividends, and justify the solution.
- 5.NF.A.3
Compare and order fractions and/or decimals to the thousandths place using the symbols >, = or <, and justify the solution.
Number and Operations—Fractions
- 5.NF.A.1
Understand that parts of a whole can be expressed as fractions and/or decimals.
- 5.NF.A.2
Convert decimals to fractions and fractions to decimals.
- 5.NF.B.4
Estimate results of sums, differences and products with fractions and decimals to the thousandths.
- 5.NF.B.5.a
Estimate the size of the product based on the size of the two factors.
- 5.NF.B.5.b
Explain why multiplying a given number by a fraction greater than 1 results in a product larger than the given number.
- 5.NF.B.5.c
Explain why multiplying a given number by a fraction less than 1 results in a product smaller than the given number.
- 5.NF.B.5.d
Explain why multiplying the numerator and denominator by the same number is equivalent to multiplying the fraction by 1.
- 5.NF.B.6
Solve problems involving addition and subtraction of fractions and mixed numbers with unlike denominators, and justify the solution.
- 5.NF.B.7.a
Recognize the relationship between multiplying fractions and finding the areas of rectangles with fractional side lengths.
Taught inArea with fraction sides - 5.NF.B.7.b
Calculate and interpret the product of a fraction by a whole number and a whole number by a fraction.
- 5.NF.B.7.c
Calculate and interpret the product of two fractions less than one.
- 5.NF.B.8.a
Calculate and interpret the quotient of a unit fraction by a non-zero whole number.
- 5.NF.B.8.b
Calculate and interpret the quotient of a whole number by a unit fraction.
Operations and Algebraic Thinking
- 5.RA.A.1.a
Generate two numeric patterns given two rules.
- 5.RA.A.1.b
Translate two numeric patterns into two sets of ordered pairs.
- 5.RA.A.1.c
Graph numeric patterns on the Cartesian coordinate plane.
- 5.RA.A.1.d
Identify the relationship between two numeric patterns.
- 5.RA.A.2
Write a rule to describe or explain a given numeric pattern.
- 5.RA.B.3
Write, evaluate and interpret numeric expressions using the order of operations.
- 5.RA.B.4
Translate written expressions into algebraic expressions.
- 5.RA.C.5
Solve and justify multi-step problems involving variables, whole numbers, fractions and decimals.
Geometry
- 5.GM.A.1
Understand that attributes belonging to a category of figures also belong to all subcategories.
Taught inNot only the last name - 5.GM.A.2
Classify figures in a hierarchy based on properties.
- 5.GM.A.3
Analyze and describe the properties of prisms and pyramids.
- 5.GM.C.6.a
Represent the axes as scaled perpendicular number lines that both intersect at 0, the origin.
- 5.GM.C.6.b
Identify any point on the Cartesian coordinate plane by its ordered pair coordinates.
- 5.GM.C.6.c
Define the first number in an ordered pair as the horizontal distance from the origin.
- 5.GM.C.6.d
Define the second number in an ordered pair as the vertical distance from the origin.
- 5.GM.C.7
Plot and interpret points in the first quadrant of the Cartesian coordinate plane.
Measurement and Data
- 5.GM.B.4.a
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.
Taught inNo gaps, no overlaps - 5.GM.B.4.b
Understand that the volume of a right rectangular prism can be found by stacking multiple layers of the base.
Taught inVolume by packing cubes - 5.GM.B.5
Apply the formulas V = l × w × h and V = B × h for volume of right rectangular prisms with whole-number edge lengths.
- 5.GM.D.8
Convert measurements of capacity, length and weight within a given measurement system.
- 5.GM.D.9
Solve multi-step problems that require measurement conversions.
- 5.DS.A.1
Create a line graph to represent a data set, and analyze the data to answer questions and solve problems.
- 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.
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