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Florida Standards

Florida 5th Grade Math B.E.S.T. Standards

All 36 Florida math standards for 5th grade, each explained in plain English. The official wording is one click away under each one.

36 standards

Number Sense and Operations

10 standards
Understand the place value of multi-digit numbers with decimals to the thousandths place.
MA.5.NSO.1.1
Describe how a digit's value grows or shrinks as it moves places left or right, like the 4 in 0.004 is one hundredth of the 4 in 0.4.
Official wording
Express how the value of a digit in a multi-digit number with decimals to the thousandths changes if the digit moves one or more places to the left or right.
MA.5.NSO.1.2
Read and write decimals to the thousandths as numerals, in words and in expanded form, like 2.375 as two and three hundred seventy-five thousandths.
Official wording
Read and write multi-digit numbers with decimals to the thousandths using standard form, word form and expanded form.
MA.5.NSO.1.3
Break apart and build decimals to the thousandths in several ways, like 1.25 as 1 + 0.2 + 0.05 or 125 hundredths, shown with objects, drawings or equations.
Official wording
Compose and decompose multi-digit numbers with decimals to the thousandths in multiple ways using the values of the digits in each place. Demonstrate the compositions or decompositions using objects, drawings and expressions or equations.
MA.5.NSO.1.4
Place decimals to the thousandths on a number line and put them in order, like seeing that 0.305 is greater than 0.299.
Official wording
Plot, order and compare multi-digit numbers with decimals up to the thousandths.
MA.5.NSO.1.5
Round decimals with up to three decimal places to the nearest whole number, tenth or hundredth, like 4.276 to 4.28.
Official wording
Round multi-digit numbers with decimals to the thousandths to the nearest hundredth, tenth or whole number.
Add, subtract, multiply and divide multi-digit numbers.
MA.5.NSO.2.1
Multiply whole numbers with several digits quickly and accurately, including with the usual written method, like 346 × 27.
Official wording
Multiply multi-digit whole numbers including using a standard algorithm with procedural fluency.
MA.5.NSO.2.2
Divide numbers of up to five digits by two-digit numbers fluently with the usual written method, writing any remainder as a fraction, like 437 ÷ 12 = 36 5/12.
Official wording
Divide multi-digit whole numbers, up to five digits by two digits, including using a standard algorithm with procedural fluency. Represent remainders as fractions.
MA.5.NSO.2.3
Add and subtract decimals to the thousandths fluently, including with the usual written method, like 12.405 + 3.68 = 16.085.
Official wording
Add and subtract multi-digit numbers with decimals to the thousandths, including using a standard algorithm with procedural fluency.
MA.5.NSO.2.4
Explore multiplying and dividing decimals to the hundredths by estimating, rounding and using place value, like seeing 3.9 × 2.1 is about 8.
Official wording
Explore the multiplication and division of multi-digit numbers with decimals to the hundredths using estimation, rounding and place value.
MA.5.NSO.2.5
Multiply and divide decimals to the tenths by 0.1 and 0.01 reliably, like 45.6 × 0.1 = 4.56 and 45.6 ÷ 0.01 = 4,560.
Official wording
Multiply and divide a multi-digit number with decimals to the tenths by one-tenth and one-hundredth with procedural reliability.

Fractions

5 standards
Interpret a fraction as an answer to a division problem.
MA.5.FR.1.1
Write a division of two whole numbers as a fraction, like 3 pizzas shared by 4 friends gives each friend 3/4 of a pizza.
Official wording
Given a mathematical or real-world problem, represent the division of two whole numbers as a fraction.
Perform operations with fractions.
MA.5.FR.2.1
Reliably add and subtract fractions with different denominators, including mixed numbers and improper fractions, like 2 1/3 + 1 3/4 = 4 1/12.
Official wording
Add and subtract fractions with unlike denominators, including mixed numbers and fractions greater than 1, with procedural reliability.
MA.5.FR.2.2
Build on earlier multiplication to multiply fractions by fractions reliably, including mixed numbers and improper fractions, like 2/3 × 1 1/2 = 1.
Official wording
Extend previous understanding of multiplication to multiply a fraction by a fraction, including mixed numbers and fractions greater than 1, with procedural reliability.
MA.5.FR.2.3
Predict and explain, without working it out, whether multiplying by a fraction makes a number bigger or smaller, like 9 × 5/4 is more than 9.
Official wording
When multiplying a given number by a fraction less than 1 or a fraction greater than 1, predict and explain the relative size of the product to the given number without calculating.
MA.5.FR.2.4
Explore splitting a unit fraction into equal groups and finding how many unit fractions fit in a whole number, like 1/2 ÷ 3 = 1/6 and 3 ÷ 1/2 = 6.
Official wording
Extend previous understanding of division to explore the division of a unit fraction by a whole number and a whole number by a unit fraction.

Algebraic Reasoning

9 standards
Solve problems involving the four operations with whole numbers and fractions.
MA.5.AR.1.1
Solve word problems with several steps and whole numbers using all four operations, deciding what a remainder means, like how many 8-seat vans 50 students need.
Official wording
Solve multi-step real-world problems involving any combination of the four operations with whole numbers, including problems in which remainders must be interpreted within the context.
MA.5.AR.1.2
Solve real-life problems by adding, subtracting or multiplying fractions and mixed numbers, like finding how much flour 1 1/2 batches of a recipe need.
Official wording
Solve real-world problems involving the addition, subtraction or multiplication of fractions, including mixed numbers and fractions greater than 1.
MA.5.AR.1.3
Solve real-life problems that divide a unit fraction by a whole number or a whole number by a unit fraction, like how many 1/4-cup scoops are in 3 cups.
Official wording
Solve real-world problems involving division of a unit fraction by a whole number and a whole number by a unit fraction.
Demonstrate an understanding of equality, the order of operations and equivalent numerical expressions.
MA.5.AR.2.1
Turn word descriptions into number expressions and back again, like writing 4 more than 6 times 3 as 6 × 3 + 4.
Official wording
Translate written real-world and mathematical descriptions into numerical expressions and numerical expressions into written mathematical descriptions.
MA.5.AR.2.2
Work out the value of number expressions with several steps by following the order of operations, like 4 + 6 × 2 = 16.
Official wording
Evaluate multi-step numerical expressions using order of operations.
MA.5.AR.2.3
Check whether both sides of an equation with any operation really match and explain the verdict, like 24 ÷ 4 = 2 × 3 is true because both equal 6.
Official wording
Determine and explain whether an equation involving any of the four operations is true or false.
MA.5.AR.2.4
Write an equation that uses any of the four operations to find a missing whole number in any position, like 7 × n = 56 for 56 chairs set in 7 equal rows.
Official wording
Given a mathematical or real-world context, write an equation involving any of the four operations to determine the unknown whole number with the unknown in any position.
Analyze patterns and relationships between inputs and outputs.
MA.5.AR.3.1
Find the rule behind a number pattern and write it as an expression, like the pattern 3, 6, 9, 12 following the rule 3 × n.
Official wording
Given a numerical pattern, identify and write a rule that can describe the pattern as an expression.
MA.5.AR.3.2
Use a pattern's rule to fill in a two-column input and output table, like the rule add 5 turning 1, 2, 3 into 6, 7, 8.
Official wording
Given a rule for a numerical pattern, use a two-column table to record the inputs and outputs.

Measurement

2 standards
Convert measurement units to solve multi-step problems.
MA.5.M.1.1
Convert units within one measurement system to solve real-life problems with several steps, like changing feet to inches to find a total length.
Official wording
Solve multi-step real-world problems that involve converting measurement units to equivalent measurements within a single system of measurement.
Solve problems involving money.
MA.5.M.2.1
Solve real-life money problems with several steps using decimals, like finding the change from $20 after buying three $4.75 items.
Official wording
Solve multi-step real-world problems involving money using decimal notation.

Geometric Reasoning

8 standards
Classify two-dimensional figures and three-dimensional figures based on defining attributes.
MA.5.GR.1.1
Sort triangles and quadrilaterals into groups by the features they share and explain why a shape does or does not fit, like why every square is a rectangle.
Official wording
Classify triangles or quadrilaterals into different categories based on shared defining attributes. Explain why a triangle or quadrilateral would or would not belong to a category.
MA.5.GR.1.2
Identify and sort 3D shapes by their features, using right prisms, right pyramids, right circular cylinders and cones, and spheres.
Official wording
Identify and classify three-dimensional figures into categories based on their defining attributes. Figures are limited to right pyramids, right prisms, right circular cylinders, right circular cones and spheres.
Find the perimeter and area of rectangles with fractional or decimal side lengths.
MA.5.GR.2.1
Use models and formulas to get the perimeter and area of rectangles whose sides are fractions or decimals, like a 2.5 m by 1.5 m rug.
Official wording
Find the perimeter and area of a rectangle with fractional or decimal side lengths using visual models and formulas.
Solve problems involving the volume of right rectangular prisms.
MA.5.GR.3.1
Explore volume by filling solid shapes with unit cubes leaving no gaps, then count cubes to find the volume of a box with whole-number sides.
Official wording
Explore volume as an attribute of three-dimensional figures by packing them with unit cubes without gaps. Find the volume of a right rectangular prism with whole-number side lengths by counting unit cubes.
MA.5.GR.3.2
Find a box's volume from a model and the formula length × width × height when its sides are whole numbers, like 4 × 3 × 2 = 24 cubic units.
Official wording
Find the volume of a right rectangular prism with whole-number side lengths using a visual model and a formula.
MA.5.GR.3.3
Solve real-life volume problems for boxes with whole-number edges, including a missing edge, and write an equation with a variable, like 5 × 4 × h = 60.
Official wording
Solve real-world problems involving the volume of right rectangular prisms, including problems with an unknown edge length, with whole-number edge lengths using a visual model or a formula. Write an equation with a variable for the unknown to represent the problem.
Plot points and represent problems on the coordinate plane.
MA.5.GR.4.1
Point out the origin and both axes on a coordinate grid, then plot and label points in the first quadrant, like point A at 3 over and 5 up.
Official wording
Identify the origin and axes in the coordinate system. Plot and label ordered pairs in the first quadrant of the coordinate plane.
MA.5.GR.4.2
Plot points in the first quadrant to show a real-life or math problem and explain what the coordinates mean, like hours worked and dollars earned.
Official wording
Represent mathematical and real-world problems by plotting points in the first quadrant of the coordinate plane and interpret coordinate values of points in the context of the situation.

Data Analysis and Probability

2 standards
Collect, represent and interpret data and find the mean, mode, median or range of a data set.
MA.5.DP.1.1
Gather number data, including fractions and decimals, and display it in tables, line graphs or line plots, like plant heights in inches.
Official wording
Collect and represent numerical data, including fractional and decimal values, using tables, line graphs or line plots.
MA.5.DP.1.2
Interpret whole-number data in a table or line plot by finding its mean, median, mode or range, like a class's quiz scores.
Official wording
Interpret numerical data, with whole-number values, represented with tables or line plots by determining the mean, mode, median or range.

The official Florida documents

Florida's B.E.S.T. Standards for Mathematics, Florida Department of Education.

The plain-English lines are EMStudio's own explanations, shown beside the official wording. They are not part of the standards.