IXL Math - DoDEA sixth-grade math standards

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DoDEA

Skills available for DoDEA sixth-grade math standards

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6.M1 Numbers and Operations

6.M.1a decompose and recompose whole numbers using factors and exponents;
6.M.1b find and use prime factorization of composite numbers;
- Number theory: Prime factorization (Sixth grade - N.4)
6.M.1c use simple expressions involving integers to represent and solve problems;
6.M.1d compare and order positive and negative decimals and fractions and find their locations on a number line;
6.M.1e interpret and use ratios in to show relative sizes of two quantities, using accurate notations, e.g., a/b, a to b, a:b;
6.M.1f use order of operations, including exponents, decimals, rational numbers, to simplify numerical expressions;
6.M.1g explain the meaning and effects of arithmetic operations with positive numbers to include fractions, decimals, and percents;
6.M.1h perform fraction and decimal computations and justify the solutions;
6.M.1i estimate solutions to problems involving fractions and decimals;
6.M.1j select and use mathematical methods and tools for computing with fractions and decimals;

6.M2 Algebra

6.M.2a recognize and generate equivalent forms of algebraic expressions;
- Add and subtract integers: Properties of addition (Sixth grade - I.3)
- Multiplication: Properties of multiplication (Sixth grade - K.9)
6.M.2b explain how the commutative, associative and distributive properties generate equivalent forms;
- Algebra: Add and subtract like terms (Sixth grade - P.15)
6.M.2c solve simple linear equations and inequalities;
- Algebra: Solve one-step equations with whole numbers (Sixth grade - P.5)
- Algebra: Solve equations involving integers (Sixth grade - P.12)
6.M.2d use symbolic algebra to represent situations, e.g., relationships found in geometry;
6.M.2e evaluate simple expressions by replacing variables with given values, and use formulas in problem-solving situations;
- Algebra: Evaluate variable expressions with whole numbers (Sixth grade - P.2)
- Algebra: Evaluate multi-variable expressions (Sixth grade - P.7)
6.M.2f create and interpret tables and graphs to draw conclusions and make predictions;
- Coordinate graphing: Find points on a function graph (Sixth grade - Q.3)
6.M.2g create and compare representations that display constant and varying rates of change.
- Coordinate graphing: Identify linear and nonlinear functions (Sixth grade - Q.7)

6.M3 Geometry

6.M.3a describe and classify two- dimensional and three-dimensional shapes using their defining properties;
6.M.3b identify and plot points on a coordinate plane in all quadrants;
- Coordinate graphing: Coordinate graphs review (Sixth grade - Q.1)
- Coordinate graphing: Coordinate graphs as maps (Sixth grade - Q.2)
6.M.3c describe sizes, positions and orientations of shapes after rotations, reflections, and translations;
- Geometry: Reflection, rotation, and translation (Sixth grade - Y.16)
6.M.3d recognize, explain, and perform up to two transformations on two-dimensional shapes;
- Geometry: Reflection, rotation, and translation (Sixth grade - Y.16)
6.M.3e draw and identify two-dimensional geometric figures with specific side length or angle measure;
- Geometry: Triangle review (Sixth grade - Y.8)
- Geometry: Classify quadrilaterals (Sixth grade - Y.9)
6.M.3f describe and use properties of similarity and congruency with two-dimensional figures to solve problems;
- Geometry: Similar and congruent figures (Sixth grade - Y.14)
- Geometry: Find side lengths of similar figures (Sixth grade - Y.15)

6.M4 Measurement

6.M.4a explain the relationship between area and perimeter of a rectangle when one attribute is changed and the other remains constant;
- Geometry: Rectangles: relationship between perimeter and area (Sixth grade - Y.21)
- Geometry: Compare area and perimeter of two figures (Sixth grade - Y.22)
6.M.4b select and use units of measurement to a given precision;
- Decimal numbers: Round decimals (Sixth grade - B.7)
6.M.4c create and use formulas to find the perimeters and areas of triangles and quadrilaterals, and to find the area and circumference of circles;
6.M.4d find the perimeter and area of irregular polygons;
- Geometry: Area of compound figures (Fifth grade - B.18)
- Geometry: Area and perimeter of irregular figures (Fifth grade - B.19)
6.M.4e identify rate as a form of measurement based on time, e.g., mph, rpm, cc/min.
- Ratios, proportions, and percents: Unit rates and equivalent rates (Sixth grade - Z.4)

6.M5 Data Analysis and Probability

6.M.5a read and use graphical representations to make predictions and/or draw conclusions;
6.M.5b formulate questions, design a study, and evaluate the data to reach a conclusion about characteristics shared by two populations or different characteristics that exist within a population;
- Statistics: Identify representative, random, and biased samples (Sixth grade - S.4)
6.M.5c identify the measures of central tendency and spread of a data set to describe the set;
- Statistics: Calculate mean, median, mode, and range (Sixth grade - S.1)
- Statistics: Interpret charts to find mean, median, mode, and range (Sixth grade - S.2)
6.M.5d explain the effects of scale and/or interval changes in graphs that lead to misunderstandings;
6.M.5e select, construct, interpret, and justify the appropriate graphical representation of data;
- Charts and graphs: Choose the best type of graph (Sixth grade - R.14)
6.M.5f use 0, 1, and ratios between 0 and 1 to represent the probability of outcomes for an event;
- Probability: Probability of one event (Sixth grade - AA.2)
6.M.5g describe and model all possible outcomes of simple events, e.g., tree diagrams, organized lists;
- Probability: Combinations (Sixth grade - AA.1)
- Probability: Compound events - find the number of outcomes by counting (Sixth grade - AA.5)
6.M.5h explain why the sum of the probabilities of all possible outcomes of a particular event is one;
- Probability: Probability of one event (Sixth grade - AA.2)