IXL Math - West Virginia fifth-grade math standards

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West Virginia

Skills available for West Virginia fifth-grade math standards

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5.M.S.5.1 Number and Operations

5.M.O.5.1.1 read, write, order and compare all whole numbers, fractions, mixed numbers and decimals using multiple strategies (e.g., symbols, manipulatives, number line).
5.M.O.5.1.2 demonstrate an understanding of place value of each digit utilizing standard and expanded form in any whole number using powers of 10 [(3 X 10 to the 5th power) + (4 X 10³) + 7 X 10²) + (1 X 10¹) + 6].
- Place value and number sense: Place values (Fifth grade - A.1)
- Place value and number sense: Convert between place values (Fifth grade - A.2)
5.M.O.5.1.3 estimate solutions to problems involving whole numbers, decimals, fractions, and percents to determine reasonableness using benchmarks.
5.M.O.5.1.4 use inductive reasoning to identify the divisibility rules of 2, 3, 5, 9 and 10 and apply the rules to solve application problems.
- Number theory: Divisibility rules (Fifth grade - K.3)
- Number theory: Divisibility rules: word problems (Fifth grade - K.4)
5.M.O.5.1.5 determine and apply greatest common factor and lowest common multiple to write equivalent fractions and to real-world problem situations.
5.M.O.5.1.6 model and write equivalencies of fractions, decimals, percents, and ratios.
5.M.O.5.1.7 analyze and solve application problems and justify reasonableness of solution in problems involving addition and subtraction of:
5.M.O.5.1.7.a fractions and mixed numbers
5.M.O.5.1.7.b decimals.
5.M.O.5.1.8 apply the distributive property as it relates to multiplication over addition.
- Multiplication: Properties of multiplication (Fifth grade - F.6)
5.M.O.5.1.9 solve multi-digit whole number division problems using a variety of strategies, including the standard algorithm and justify the solutions.
5.M.O.5.1.10 demonstrate fluency in addition, subtraction, multiplication and division of whole numbers.
5.M.O.5.1.11 solve real-world problems involving whole numbers, decimals and fractions using multiple strategies and justify the reasonableness by estimation.

5.M.S.5.2 Algebra

5.M.O.5.2.1 use inductive reasoning to find missing elements in a variety of patterns (e.g., square numbers, arithmetic sequences).
5.M.O.5.2.2 given an input/output model using two operations, determine the rule, output or input.
- Algebra: Function tables (Fifth grade - P.7)
- Algebra: Convert graphs to input/output tables (Fifth grade - P.8)
5.M.O.5.2.3 solve simple equations and inequalities using patterns and models of real-world situations, create graphs of the equations and interpret the results.
5.M.O.5.2.4 model identify and describe square, prime and composite numbers.
- Number theory: Prime and composite numbers (Fifth grade - K.1)

5.M.S.5.3 Geometry

5.M.O.5.3.1 classify and compare triangles by sides and angles; measure the angles of a triangle using a protractor.
5.M.O.5.3.2 construct and analyze three-dimensional shapes using properties (i.e. edges, faces or vertices).
5.M.O.5.3.3 create a design with more than one line of symmetry.
- Geometry: Lines of symmetry (Fifth grade - B.24)
5.M.O.5.3.4 construct a circle with a given radius or diameter.
- Geometry: Parts of a circle (Fifth grade - B.13)
- Geometry: Radius, diameter, circumference, and area of a circle (Fifth grade - B.28)
5.M.O.5.3.5 draw a similar figure using a scale, given a real-world situation.
- Geometry: Similar and congruent (Fifth grade - B.9)
- Ratios, proportions, and percents: Equivalent ratios (Fifth grade - U.4)

5.M.S.5.4 Measurement

5.M.O.5.4.1 estimate, measure, compare, order and draw lengths of real objects in parts of an inch up to 1/8 of an inch and millimeters.
5.M.O.5.4.2 model, calculate and compare area of triangles and parallelograms using multiples strategies (including, but not limited to, formulas).
- Geometry: Area of triangles (Fifth grade - B.16)
- Geometry: Area of parallelograms and trapezoids (Fifth grade - B.17)
5.M.O.5.4.3 develop strategies (i.e. finding number of same sized units of volume)to determine the volume of a rectangular prism; solve application problems involving estimating or measuring volume of rectangular prisms.
- Geometry: Volume (Fifth grade - B.21)
5.M.O.5.4.4 describe the effects on the measurements of a two-dimensional shape (such as its perimeter and area) when the shape is changed in some way, justify changes.
5.M.O.5.4.5 solve real-world problems requiring conversions within a system of measurement.
5.M.O.5.4.6 estimate and/or measure the weight/mass of real objects in ounces, pounds, grams, and kilograms.
- Measurement: Choose the appropriate customary unit of measure (Fifth grade - V.1)
- Measurement: Choose the appropriate metric unit of measure (Fifth grade - V.2)
5.M.O.5.4.7 collect, record, estimate and calculate elapsed times from real-world situations (with and without technology)
5.M.O.5.4.8 determine the actual measurements of a figure from a scale drawing, using multiple strategies.
- Ratios, proportions, and percents: Equivalent ratios (Fifth grade - U.4)

5.M.S.5.5 Data Analysis and Probability

5.M.O.5.5.1 construct a sample space and make a hypothesis as to the probability of a real life situation overtime, test the prediction with experimentation, and present conclusions (with and without technology).
5.M.O.5.5.2 construct, read, and interpret tables, charts, and graphs including stem and leaf plots to draw reasonable inferences or verify predictions.
5.M.O.5.5.3 collect and organize real-world data to construct a circle graph (with and without technology), present data and draw conclusions.
- Data, charts, and graphs: Circle graphs (Fifth grade - R.7)