West Virginia Grade 5 math standards
The Grade 5 math outcomes we teach, in the standards's own words, with the lessons and practice pages for each. Pick an outcome code for the full list of lessons and printables.
West Virginia College- and Career-Readiness Standards for Mathematics (2024).
M.5.2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them (e.g., express the calculation "add 8 and 7, then multiply by 2" as 2 x (8 + 7); recognize that 3 x (18932 + 921) is three times as large as 18932 + 921, without having to calculate the indicated sum or product).
Practice: Grade 5 Ontario Math: Algebra
M.5.3 Generate two numerical patterns using two given rules. Identify apparent relationships between corresponding terms. Form ordered pairs consisting of corresponding terms from the two patterns and graph the ordered pairs on a coordinate plane (e.g., given the rule "Add 3" and the starting number O and given the rule "Add 6" and the starting number 0, generate terms in the resulting sequences and observe that the terms in one sequence are twice the corresponding terms in the other sequence; explain informally why this is so).
Practice: Grade 5 Common Core Math: Patterns and Algebraic Thinking
M.5.4 Recognize that in a multi-digit number, a digit in one 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.
Practice: Grade 5 Common Core Math: Patterns and Algebraic Thinking · Grade 5 Common Core Math: Number and Operations
M.5.5 Explain how the value of a multi-digit number, including decimals, is changed when the number is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10.
M.5.7 Use place value understanding to round multi-digit numbers, including decimals, to any place.
M.5.8 Fluently (efficiently and accurately) multiply multi-digit whole numbers using the standard algorithm.
M.5.9 Find whole-number quotients of whole numbers with up to four-digit dividends and twodigit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, area models, and/or partial quotients.
M.5.10 Add, subtract, multiply and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between related operations, relate the strategy to a written method and explain the reasoning used.
Practice: Grade 5 Common Core Math: Data and Graphs · Grade 5 Common Core Math: Number and Operations
M.5.18 Convert among different-sized standard measurement units within a given measurement system, both customary and metric, (e.g., convert 5 cm to 0.05 m) and use these conversions in solving multi-step, real-world problems.
Practice: Grade 5 Common Core Math: Geometry and Measurement
M.5.19 Make a line plot to display a data set of measurements in fractions of a unit (1/2, 1/4, 1/8). Use operations on fractions for this grade to solve problems involving information presented in line plots (e.g., given different measurements of liquid in identical beakers, find the amount of liquid each beaker would contain if the total amount in all the beakers were redistributed equally).
Practice: Data Detectives workbook
M.5.23 Use a pair of perpendicular number lines, called axes, to define a coordinate system, with the intersection of the lines, the origin, arranged to coincide with the 0 on each line and a given point in the plane located by using an ordered pair of numbers, called its coordinates. Understand that the first number indicates how far to travel from the origin in the direction of the horizontal axis (x-axis) and the second number indicates how far to travel in the direction of the vertical axis (y-axis), with the convention that the names of the two axes and the coordinates correspond (e.g., x-axis and x-coordinate, yaxis and y-coordinate).
Practice: Grade 4 Common Core Math: Geometry and Measurement · Grade 5 Common Core Math: Geometry and Measurement
M.5.24 Represent real-world mathematical problems by graphing points in the first quadrant of the coordinate plane and interpret coordinate values of points in the context of the situation.
Practice: Data Detectives workbook · Grade 5 Common Core Math: Geometry and Measurement
M.5.25 Understand that attributes belonging to a category of two-dimensional figures also belong to all subcategories of that category (e.g., all rectangles have four right angles and squares are rectangles, so all squares have four right angles).
Practice: Grade 5 Ontario Math: Spatial Sense
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