Arkansas: Grade 5 Mathematics Standards Math Standards
30 standards ยท 4 domains
COMPUTATION & ALGEBRAIC REASONING
- 5.CAR.1 Use computational fluency to multiply multi-digit whole numbers by using strategies and algorithms, including the standard algorithm, with mastery by the end of fifth grade.
- 5.CAR.2 Calculate whole number quotients of whole numbers with up to four-digit dividends and two-digit divisors using strategies based on place value, properties of operations, divisibility rules, and the relationship between multiplication and division.
- 5.CAR.3 Add and subtract decimals to the hundredths using concrete models or drawings and strategies based on place value, properties of operations, or the relationship between addition and subtraction.
- 5.CAR.4 Multiply and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, or the relationship between multiplication and division.
- 5.CAR.5 Add and subtract fractions with like and unlike denominators by using equivalent fractions {๐/๐ = (๐ โ ๐)/(๐ โ ๐)} to create common denominators; include real-world problems. Fractions include: mixed numbers
- 5.CAR.6 Interpret and solve fractions as division problems, (๐/๐ = ๐ รท ๐), where ๐ and ๐ are natural numbers.
- 5.CAR.7 Use visual models and equations to multiply whole numbers by fractions and fractions by fractions, including mixed numbers and fractions greater than one.
- 5.CAR.8 Apply previous understanding of division to divide unit fractions by whole numbers and whole numbers by unit fractions.
- 5.CAR.9 Solve and create real-world problems involving multiplication of fractions and mixed numbers.
- 5.CAR.10 Solve real-world problems involving the division of natural numbers leading to answers in the form of fractions or mixed numbers using visual models and equations.
- 5.CAR.11 Solve real-world problems involving the division of unit fractions by whole numbers and whole numbers by unit fractions, using visual fraction models and equations.
- 5.CAR.12 Evaluate numerical expressions with parentheses or brackets and exponents with the base of ten, using the Order of Operations.
- 5.CAR.13 Write simple expressions that record calculations with numbers, interpreting numerical expressions without evaluating them.
- 5.CAR.14 Generate two numerical patterns given two rules, identifying the relationship between the corresponding terms by graphing the terms in the first quadrant of the coordinate grid.
DATA ANALYSIS
- 5.DA.1 Collect and interpret data from observations, surveys, and experiments; represent data using frequency tables, scaled bar graphs, and scaled line graphs.
- 5.DA.2 Use a line plot to display a data set of measurements in fractions of a unit solving problems involving all four operations with fractions (excluding division of a fraction by fraction) using data presented in line plots.
GEOMETRY & MEASUREMENT
- 5.GM.1 Classify two-dimensional figures in a hierarchy based on properties with the focus on quadrilaterals and triangles when teaching hierarchies. Shapes to include: quadrilaterals (trapezoid, parallelogram, rectangle, square, rhombus, kite) and triangles (right, acute, obtuse, scalene, isosceles, equilateral)
- 5.GM.2 Find the area of a rectangle with fractional and/or mixed number side lengths by using models and multiplying the fractional side lengths showing that both strategies produce the same area.
- 5.GM.3 Measure volumes by counting unit cubes using cubic cm (๐๐^3), cubic in (๐๐^3), cubic ft (ft^3), and improvised units (๐ข^3).
- 5.GM.4 Solve real-world and mathematical problems involving the volume of rectangular prisms with whole number side lengths by applying the formulas (๐=๐โ๐คโโ or ๐=๐ตโโ) and the properties of operations.
- 5.GM.5 Solve real-world problems by calculating volumes of solid figures composed of two non-overlapping right rectangular prisms by adding the volumes of the non-overlapping parts.
- 5.GM.6 Convert among different-sized standard measurement units within the same system, including both the metric and customary systems, and solve multi-step, real-world problems using conversions.
- 5.GM.7 Graph points with whole number coordinates on a coordinate plane in the first quadrant, explaining how the coordinates relate to the horizontal and vertical axes to describe the location of points in the plane.
- 5.GM.8 Represent real-world and mathematical problems by graphing points in the first quadrant on a coordinate plane, interpreting coordinate values of points in the context of the situation.
NUMBER & PLACE VALUE
- 5.NPV.1 Recognize that, in a multi-digit number, a digit in a given place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left.
- 5.NPV.2 Explain patterns in the number of zeros and/or the decimal point when multiplying or dividing a number by a power of 10, using whole-number exponents to denote powers of 10.
- 5.NPV.3 Read and write decimals to thousandths, using base-ten numerals, word form, and a variety of expanded forms.
- 5.NPV.4 Apply place value understanding to round decimals to any place up to the thousandths.
- 5.NPV.5 Compare two decimals to thousandths based on the value of the digits in each place, using symbols (<, =, >) to record the results of comparisons.
- 5.NPV.6 Use visual models to explain the product of multiplying a whole number by a fraction greater than and less than one.