5th Grade Math (Missouri Learning Standards)

Number Sense and Operations in Base Ten (NBT), cluster A

• 5.NBT.A.1 Read, write, and identify numbers from thousandths up to billions in words, numerals, and expanded form.
• 5.NBT.A.2 Compare numbers from billions to thousandths with >, =, and < and justify.
• 5.NBT.A.3 Know a digit is worth a tenth of what it would be one place to the left.
• 5.NBT.A.4 Evaluate powers of 10 and link them to place value.
• 5.NBT.A.5 Round numbers from billions to thousandths.
• 5.NBT.A.6 Add and subtract whole numbers and decimals to thousandths, and justify.
• 5.NBT.A.7 Multiply whole numbers and decimals to hundredths, and justify.
• 5.NBT.A.8 Divide whole numbers and decimals to hundredths (divisors up to two digits, dividends up to four), and justify.

Number Sense and Operations in Fractions (NF), cluster A

• 5.NF.A.1 Understand that part of a whole can be written as a fraction or a decimal.
• 5.NF.A.2 Convert between decimals and fractions.
• 5.NF.A.3 Compare and order fractions and decimals to thousandths with >, =, and < and justify.

Number Sense and Operations in Fractions (NF), cluster B

• 5.NF.B.4 Estimate sums, differences, and products of fractions and decimals to thousandths.
• Justify whether a product of fractions is reasonable.
• 5.NF.B.5a Estimate how big a product will be from the size of its factors.
• 5.NF.B.5b Explain why multiplying by a fraction greater than 1 gives a bigger number.
• 5.NF.B.5c Explain why multiplying by a fraction less than 1 gives a smaller number.
• 5.NF.B.5d Explain why multiplying top and bottom by the same number is the same as multiplying by 1.
• 5.NF.B.6 Solve problems that add or subtract unlike-denominator fractions and mixed numbers, and justify.
• Extend multiplication to products where a fraction or whole number is multiplied by a fraction.
• 5.NF.B.7a Link multiplying fractions with finding areas of rectangles with fraction sides.
• 5.NF.B.7b Find and interpret a fraction times a whole number and a whole number times a fraction.
• 5.NF.B.7c Find and interpret products of two fractions that are each less than one.
• Extend division to unit fractions and whole numbers with visual models and equations.
• 5.NF.B.8a Find and interpret a unit fraction divided by a nonzero whole number.
• 5.NF.B.8b Find and interpret a whole number divided by a unit fraction.

Relationships and Algebraic Thinking (RA), cluster A

• Explore how two number patterns relate.
• 5.RA.A.1a Make two number patterns from two rules.
• 5.RA.A.1b Turn two number patterns into ordered pairs.
• 5.RA.A.1c Graph the patterns on the coordinate plane.
• 5.RA.A.1d Identify how the two patterns relate.
• 5.RA.A.2 Write a rule that describes a number pattern.

Relationships and Algebraic Thinking (RA), cluster B

• 5.RA.B.3 Write, evaluate, and interpret numerical expressions using the order of operations.
• 5.RA.B.4 Turn word expressions into algebraic expressions.

Relationships and Algebraic Thinking (RA), cluster C

• 5.RA.C.5 Solve and justify multi-step problems with variables, whole numbers, fractions, and decimals.

Geometry and Measurement (GM), cluster A

• 5.GM.A.1 Know features of a category of figures apply to every subcategory.
• 5.GM.A.2 Classify figures in a hierarchy by their properties.
• 5.GM.A.3 Analyze and describe what prisms and pyramids are like.

Geometry and Measurement (GM), cluster B

• Understand volume and that it is measured in cubic units.
• 5.GM.B.4a Know a cube with 1-unit edges is a unit cube of one cubic unit used to measure volume.
• 5.GM.B.4b Know a rectangular prism's volume can be found by stacking layers of its base.
• 5.GM.B.5 Use the volume formulas (length × width × height, or base area × height) for rectangular prisms with whole-number edges.

Geometry and Measurement (GM), cluster C

• Set up a first-quadrant coordinate system.
• 5.GM.C.6a Show the axes as scaled perpendicular number lines meeting at 0, the origin.
• 5.GM.C.6b Name any point on the plane by its ordered pair.
• 5.GM.C.6c Know the first coordinate is the horizontal distance from the origin.
• 5.GM.C.6d Know the second coordinate is the vertical distance from the origin.
• 5.GM.C.7 Plot points in the first quadrant and interpret them.

Geometry and Measurement (GM), cluster D

• 5.GM.D.8 Convert capacity, length, and weight within one measurement system.
• 5.GM.D.9 Solve multi-step problems that need unit conversions.

Data and Statistics (DS), cluster A

• 5.DS.A.1 Make a line graph of a data set and analyze it to answer questions.
• 5.DS.A.2 Make a line plot of data, analyze it, spot outliers, and find the median.