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### MA 6.1 Number

- MA.6.1.1 Students will demonstrate, represent, and show relationships among fractions, decimals, percents, and integers within the base-ten number system.
- MA 6.1.1.a Determine common factors and common multiples using prime factorization of numbers with and without exponents.

- MA 6.1.1.b Represent non-negative whole numbers using exponential notation.

- MA 6.1.1.c Compare and order rational numbers both on the number line and not on the number line.

- MA 6.1.1.d Convert among fractions, decimals, and percents using multiple representations.

- MA 6.1.1.e Determine ratios from drawings, words, and manipulatives.

- MA 6.1.1.f Explain and determine unit rates.

- MA 6.1.1.g Model integers using drawings, words, manipulatives, number lines, and symbols.

- MA 6.1.1.h Compare and order integers and absolute value both on the number line and not on the number line.

- MA 6.1.1.i Determine absolute value of rational numbers.

- MA 6.1.2 Students will compute with fractions and decimals accurately.
- MA 6.1.2.a Multiply and divide non-negative fractions and mixed numbers.

- MA 6.1.2.b Evaluate expressions with positive exponents.

- MA 6.1.2.c Divide multi-digit whole numbers using the standard algorithm.

- MA 6.1.2.d Add, subtract, multiply, and divide decimals using the standard algorithms.

- MA 6.1.2.e Estimate and check reasonableness of answers using appropriate strategies and tools.

### MA 6.2 Algebra

- MA 6.2.1 Students will demonstrate, represent, and show relationships with expressions, equations, and inequalities.
- MA 6.2.1.a Create algebraic expressions (e.g., one operation, one variable as well as multiple operations, one variable) from word phrases.

- MA 6.2.1.b Recognize and generate equivalent algebraic expressions involving distributive property and combining like terms.

- MA 6.2.1.c Represent and analyze the relationship between two variables using graphs, tables, and one-step equations.

- MA 6.2.2 Students will apply the operational properties when evaluating expressions and solving expressions, equations, and inequalities.
- MA 6.2.2.a Simplify expressions using the distributive property and combining like terms.

- MA 6.2.2.b Use substitution to determine if a given value for a variable makes an equation or inequality true.

- MA 6.2.2.c Evaluate numerical expressions, including absolute value and exponents, with respect to order of operations.

- MA 6.2.2.d Given the value of the variable, evaluate algebraic expressions (which may include absolute value) with respect to order of operations (non-negative rational numbers).

- MA 6.2.2.e Solve one-step equations with non-negative rational numbers using addition, subtraction, multiplication and division.

- MA 6.2.2.f Use equivalent ratios relating quantities with whole numbers to create a table. Find missing values in the table.

- MA 6.2.2.g Represent inequalities on a number line (e.g., graph x > 3).

- MA 6.2.3 Students will solve real-world problems involving ratios, unit rates, and percents.
- MA 6.2.3.a Write equations (e.g., one operation, one variable) to represent real-world problems involving non-negative rational numbers.

- MA 6.2.3.b Solve real-world problems involving non-negative rational numbers.

- MA 6.2.3.c Solve real-world problems involving percents of numbers.

- MA 6.2.3.d Solve real-world problems using ratios and unit rates.

### MA 6.3 Geometry

- MA 6.3.1 Students will identify and describe geometric characteristics and create two- and three-dimensional shapes.
- MA 6.3.1.a Identify and create nets to represent two-dimensional drawings of prisms, pyramids, cylinders, and cones.

- MA 6.3.2 Students will determine location, orientation, and relationships on the coordinate plane.
- MA 6.3.2.a Identify the ordered pair of a given point in the coordinate plane.

- MA 6.3.2.b Plot the location of an ordered pair in the coordinate plane.

- MA 6.3.2.c Identify the quadrant of a given point in the coordinate plane.

- MA 6.3.2.d Draw polygons in the coordinate plane given coordinates for the vertices.

- MA 6.3.2.e Calculate vertical and horizontal distances in the coordinate plane to find perimeter and area.

- MA 6.3.3 Students will perform and compare measurements and apply formulas.
- MA 6.3.3.a Determine the area of quadrilaterals, including parallelograms, trapezoids, and triangles by composition and decomposition of polygons as well as application of formulas.

- MA 6.3.3.b Determine the surface area of rectangular prisms and triangular prisms using nets.

- MA 6.3.3.c Apply volume formulas for rectangular prisms.

### MA 6.4 Data

- MA 6.4.1 Students will create displays that represent data.
- MA 6.4.1.a Represent data using line plots, dot plots, box plots, and histograms.

- MA 6.4.2 Students will analyze data to address the situation.
- MA 6.4.2.a Solve problems using information presented in line plots, dot plots, box plots, and histograms.

- MA 6.4.2.b Compare and interpret data sets based upon their graphical representations (e.g., center, spread, and shape).

- MA 6.4.2.c Find and interpret the mean, median, mode, and range for a set of data.

- MA 6.4.2.d Compare the mean, median, mode, and range from two sets of data.