IXL Math - West Virginia sixth-grade math standards

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West Virginia

Skills available for West Virginia sixth-grade math standards

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6.M.S.6.1 Number and Operations

6.M.O.6.1.1 demonstrate an understanding of large numbers by converting and comparing numbers in scientific notation and standard notation (with and without technology).
- Number theory: Convert between standard and scientific notation (Sixth grade - N.1)
6.M.O.6.1.2 determine the greatest common factor and least common multiple using multiple strategies to solve real-world problems; find prime factorization of a number.
6.M.O.6.1.3 compare and order integers using multiple strategies (e.g., symbols, manipulatives, number line).
- Integers: Number lines with integers (Sixth grade - C.3)
- Integers: Compare and order integers (Sixth grade - C.4)
6.M.O.6.1.4 analyze and solve real-world problems involving addition, subtraction , multiplication and division of whole numbers, fractions, mixed numbers, decimals, integers, and justify the reasonableness by estimation.
6.M.O.6.1.5 apply the distributive, commutative, associative and identity properties to numeric expressions and use to prove equivalency.
6.M.O.6.1.6 convert between fractions/ratios, mixed numbers, decimals and percents in appropriate real-world problems.
6.M.O.6.1.7 compute the percent of a number to solve application problems and justify the reasonableness by estimation.
- Ratios, proportions, and percents: Percents of numbers and money amounts (Sixth grade - Z.9)
- Ratios, proportions, and percents: Percents of numbers: word problems (Sixth grade - Z.10)
6.M.O.6.1.8 demonstrate an understanding of the effect of multiplying and dividing, whole numbers, fractions and decimals by numbers including 0, 1 and values between 0 and 1.
6.M.O.6.1.9 develop and test hypotheses to derive the rules for addition, subtraction, multiplication and division of integers, justify by using real-world examples and use them to solve problems.

6.M.S.6.2 Algebra

6.M.O.6.2.1 simplify numerical expressions and evaluate algebraic expressions using order of operations.
6.M.O.6.2.2 use inductive reasoning to extend patterns to predict the nth term (e.g., powers and triangular numbers).
6.M.O.6.2.3 create algebraic expressions that correspond to real-world situations; use the expressions to solve problems.
- Algebra: Write variable expressions to represent word problems (Sixth grade - P.1)
6.M.O.6.2.4 determine the rule, output or input; given an input/output model using one operation, write an algebraic expression for the rule and use to identify other input/output values.
6.M.O.6.2.5 solve real-world proportion problems involving rates, probability and measurements using multiple strategies, justify selection of strategies.
6.M.O.6.2.6 write and solve one-step equations using number sense, properties of operations and the idea of maintaining equality to represent and solve real-world problems.
- Algebra: Solve one-step equations with whole numbers (Sixth grade - P.5)
- Algebra: Solve one-step equations involving decimals, fractions, and mixed numbers (Sixth grade - P.6)

6.M.S.6.3 Geometry

6.M.O.6.3.1 analyze characteristics using defining properties of lines, angles, polygons, triangles, and compare these geometric figures.
6.M.O.6.3.2 use inductive reasoning with the measures of interior angles in polygons and derive the formula to determine the sum of the measures of the interior angles.
- Geometry: Find missing angles and side lengths in triangles and quadrilaterals (Sixth grade - Y.10)
- Geometry: Sums of angles in polygons (Sixth grade - Y.11)
6.M.O.6.3.3 apply the concepts of parallel, perpendicular, intersecting, and skew lines to real-world situations (i.e. roads and routes).
- Geometry: Transversal of parallel lines (Sixth grade - Y.7)
6.M.O.6.3.4 create designs using line and rotational symmetry.
- Geometry: Symmetry (Sixth grade - Y.17)
6.M.O.6.3.5 predict, describe, and perform transformations on two-dimensional shapes
6.M.O.6.3.5.a translations
- Geometry: Reflection, rotation, and translation (Sixth grade - Y.16)
6.M.O.6.3.5.b rotations
- Geometry: Reflection, rotation, and translation (Sixth grade - Y.16)
6.M.O.6.3.5.c reflections
- Geometry: Reflection, rotation, and translation (Sixth grade - Y.16)
6.M.O.6.3.6 use geometric representations to solve real-world problems.
- Geometry: Use area and perimeter to determine cost (Fourth grade - P.18)
- Geometry: Area and perimeter: word problems (Fifth grade - B.20)
6.M.O.6.3.7 plot polygons on coordinate grids, determine lengths and areas from the graph.

6.M.S.6.4 Measurement

6.M.O.6.4.1 determine an approximation for pi using actual measurements.
6.M.O.6.4.2 develop and test hypotheses to determine formulas for
6.M.O.6.4.2.a perimeter of polygons, including composite figures
6.M.O.6.4.2.b area of parallelograms
- Geometry: Area (Sixth grade - Y.20)
6.M.O.6.4.2.c area of triangles
- Geometry: Area (Sixth grade - Y.20)
6.M.O.6.4.2.d area of composite figures made of parallelograms and triangles
- Geometry: Area of compound figures (Fifth grade - B.18)
6.M.O.6.4.2.e circumference of a circle
- Geometry: Circles: calculate area, circumference, radius, and diameter (Sixth grade - Y.23)
6.M.O.6.4.2.f area of a circle
- Geometry: Circles: calculate area, circumference, radius, and diameter (Sixth grade - Y.23)
6.M.O.6.4.2.g volume of a rectangular prism
- Geometry: Volume and surface area (Sixth grade - Y.27)
6.M.O.6.4.3 investigate, model and describe surface area of rectangular prisms and cylinders; develop strategies to determine the surface area of rectangular prisms
- Geometry: Volume and surface area (Sixth grade - Y.27)
6.M.O.6.4.4 develop strategies to determine volume of cylinders; solve real-world problems involving volume of cylinders, justify the results.
- Geometry: Volume and surface area (Sixth grade - Y.27)
6.M.O.6.4.5 given a two-dimensional polygon, construct a scale drawing given the scale factor.
- Ratios, proportions, and percents: Scale drawings (Sixth grade - Z.5)

6.M.S.6.5 Data Analysis and Probability

6.M.O.6.5.1 collect, organize, display, read, interpret and analyze real-world data using appropriate graphs and tables (with and without technology).
6.M.O.6.5.2 identify a real life situation using statistical measures (mean, median, mode, range, outliers) overtime, make a hypothesis as to the outcome; design and implement a method to collect, organize and analyze data; analyze the results to make a conclusion; evaluate the validity of the hypothesis based upon collected data, design a mode of presentation using words, graphs, models, and/or tables (with and without technology).
6.M.O.6.5.3 perform simple probability events using manipulatives; predict the outcome given events using experimental and theoretical probability; express experimental and theoretical probability as a ratio, decimal or percent.
- Probability: Probability of one event (Sixth grade - AA.2)
- Probability: Make predictions (Sixth grade - AA.3)
6.M.O.6.5.4 determine combinations and permutations of given real-world situations by multiple strategies, including creating lists.