Addition
and Subtraction—Whole Numbers
M-A-056 Applies the associative property of addition
M-A-057 Applies the commutative property of addition
M-A-058 Applies the identity property of addition
Multiplication and Division—Whole Numbers
M-A-079 Writes the prime factorization of a number with/without exponents
M-A-086 Estimates division problems with divisors greater than 100/checks with calculator
M-A-089 Applies the associative property of multiplication
M-A-090 Applies the commutative property of multiplication
M-A-091 Applies the distributive property
M-A-092 Applies the identity property of multiplication
M-A-094 Finds Least Common Multiple
M-A-095 Finds Greatest Common Factor
M-A-096 Uses LCM and GCF in problem solving
M-A-097 Applies prime factorization in determining LCM and GCF
M-A-098 Demonstrates four operations of whole numbers to solve problems from real-life situations by applying technology
M-A-101 Rounds whole numbers at least to billions
Decimals
M-A-117 Applies computational skills to real-life situations involving decimals through the use of technology
M-A-118 Changes decimals, terminating or repeating, to fractions, mentally, with pencil and paper, and/or with a calculator
M-A-124 Writes numbers greater than one in scientific notation
M-A-125 Writes numbers less than one in scientific notation
M-A-126 Solves problems involving scientific notation
M-A-127 Finds the square and square root of a rational number mentally and/or with a calculator
M-A-128 Estimates the square root of a non-perfect square and checks with a calculator
M-A-129 Uses order of operation to evaluate expressions
Fractions
M-A-151 Compares and orders fractions written in both standard and decimal form
M-A-152 Changes mixed numbers to fractions and improper fractions to mixed numbers
M-A-153 Changes a fraction to a decimal and a decimal to a fraction
M-A-154 Rewrites fractions finding a common denominator
M-A-155 Adds and subtracts fractions with common denominators and simplifies
M-A-156 Adds and subtracts fractions with uncommon denominators and simplifies
M-A-157 Uses concrete models to add and subtract mixed numbers with common denominators and simplifies
M-A-158 Adds mixed numbers with common/uncommon denominators and simplifies
M-A-159 Subtracts mixed numbers with common/uncommon denominators with/without regrouping and simplifies
M-A-160 Multiplies fractions and simplifies
M-A-161 Multiplies mixed numbers and simplifies
M-A-162 Divides fractions and simplifies
M-A-163 Divides mixed numbers and simplifies
M-A-164 Rounds fractions to the nearest whole number
M-A-165 Applies computational skills to real-life situations which involve fractions
Ratio and Proportion
M-A-167 Writes ratios in simplest form
M-A-168 Writes given information in ratio form and simplifies
M-A-169 Uses cross multiplication to test equal ratios
M-A-170 Uses cross multiplication to find an unknown term in a proportion
M-A-171 Uses direct proportion to solve a variety of problems
M-A-172 Uses inverse and partitive proportions to solve problems
M-A-173 Uses scale drawings to solve problems
Percent
M-A-175 Finds the percent of a number
M-A-176 Finds what percent one number is of another
M-A-177 Finds a number when a percent of it is known
M-A-178 Solves problems involving simple interest
M-A-179 Solves problems involving discount
M-A-181 Solves problems involving sales price
M-A-182 Solves problems involving commission and royalties
M-A-183 Solves problems involving percent of increase and decrease
M-A-184 Estimates and compares percent of numbers
M-A-185 Solves a variety of problems involving percent
M-A-186 Explores the relationship between whole numbers, fractions, decimals, and percents
M-A-187 Identifies the appropriate equivalent form of a number (fraction, decimal, percent) in application problems
Integers
M-A-188 Identifies integers as positive, negative, zero
M-A-189 Compares and orders integers
M-A-191 Expresses given information as an integer
M-A-192 Identifies and applies opposites of integers
M-A-193 Defines and applies absolute value of integers
M-A-194 Adds integers
M-A-195 Subtracts integers
M-A-196 Multiplies integers
M-A-197 Divides integers
M-A-198 Applies all four operations to estimate solutions to real-life, situations involving integers
M-A-199 Applies commutative properties to integers
M-A-200 Applies associative properties to integers
M-A-201 Applies additive inverse properties to integers
Rational/Irrational Numbers
M-A-202 Classifies a number as real, rational, irrational, integer, whole, natural
M-A-203 Represents any real number on a number line
M-A-204 Applies rules for divisibility to real numbers
M-A-206 Uses a calculator to represent irrational numbers
M-A-207 Reads and writes rational numbers
M-A-208 Represents rational numbers on a number line
M-A-209 Compares and orders positive rational numbers
M-A-210 Compares and orders positive and negative rational numbers
M-A-211 Rounds rational numbers
M-A-212 Adds rational numbers
M-A-213 Subtracts rational numbers
M-A-214 Multiplies rational numbers
M-A-215 Divides rational numbers
M-A-216 Uses rational numbers to solve problems
M-A-217 Uses a calculator to apply the concept of significant digits to solve problems involving rational numbers
Algebraic Expressions
M-A-219 Identifies a variable and solves a simple equation
M-A-220 Names the coefficient in a variable expression
M-A-221 Collects like terms in an equation before solving
M-A-222 Simplifies an expression with and without grouping symbols
M-A-223 Translates phrases into variable expressions
M-A-224 Translates phrases into equations
M-A-225 Translates phrases into inequalities
M-A-226 Writes an equation from a word problem and solves
M-A-227 Writes and solves simple two-step equations
M-A-228 Defines an exponent
M-A-229 Identifies the base number in an expression
M-A-230 Explores concepts related to exponents using a calculator
M-A-231 Determines the value of an algebraic expression in exponential form
M-A-233 Writes variable expressions of a product of exponential terms as a single product of the given base
M-A-234 Identifies and evaluates expressions for given values of the variable
M-A-235 Defines an inequality
M-A-236 Identifies inequalities within an equation
M-A-237 Plots inequalities on a number line
M-A-239 Solves
equations and inequalities using simplification
M-A-240 Solves equations and inequalities using addition subtraction transformations
M-A-241 Solves equations and inequalities using multiplication or division transformations
M-B-001 Determines, "What is the problem asking?"
M-B-002 Distinguishes between relevant and irrelevant facts
M-B-003 Identifies steps to solve problem
M-B-004 Generalizes the results in problem solving and makes predictions
M-B-005 Develops verbal and symbolic language to express a mathematical idea
M-B-006 Draws maps and pictures with pencil and paper and a productivity tool
M-B-007 Develops charts. tables, and graphs with paper and pencil and a productivity tool
M-B-008 Finds a pattern
M-B-009 Uses a simpler problem as a model
M-B-010 Experiments with trial and error
M-B-011 Works the problem backwards
M-B-012 Selects mental computation as the appropriate computational method for solving a problem
M-B-013 Selects paper and pencil as the appropriate computational method for solving a problem
M-B-014 Selects calculator as the appropriate computational method for solving a problem
M-B-015 Selects computer as the appropriate computational method for solving a problem
M-B-018 Solves problems using multi-step operations with pencil and paper and technology
M-B-019 Uses a variety of procedures to solve the same problem
M-B-021 Discusses alternate solution strategies and relationships among problems
M-B-022 Justifies the solutions to problems rather than actual calculation
M-B-024 Applies estimation to anticipate the answer and to check for reasonableness in problem solving
M-B-025 Evaluates whether the outcome of a problem is reasonable
M-B-026 Interprets results when there is a remainder
M-B-027 Makes decisions based on the results of problem solving
M-B-028 Discusses open-ended problems
M-B-029 Formulates original problems
M-C-007 Identifies, describes, and extends geometric patterns
M-C-008 Extends geometric patterns through the use of technology
M-C-009 Identifies, describes, and extends whole number patterns using symbols
M-C-018 Explores number patterns involving powers of ten
M-C-019 Explores number patterns involving scientific notation
M-C-020 Explores number patterns involving square numbers
M-C-021 Explores number patterns involving positive exponents
M-C-028 Constructs sets of ordered pairs using functions
M-C-029 Plots ordered pairs on a graph
M-C-030 Generates ordered pairs with and without a calculator in order to graph linear equations
M-C-031 Identifies and explains function notation
M-C-032 Describes the relationship of y to x
M-C-033 Graphs simple equations on a coordinate plane
M-C-035 Graphs relations of ordered pairs on a coordinate plane
M-C-038 Develops equations from word problems
M-C-039 Organizes a table and graphs the results on a coordinate plane
M-C-040 Identifies slope and intercept through coordinate graphing
M-C-041 Graphs equations to determine the slope
M-C-042 Solves problems by interpreting slope on a graph
M-D-010 Makes predictions based on graphed data
M-D-016 Interprets and reads data in frequency tables
M-D-017 Reads and interprets data in horizontal and vertical bar graphs and pictographs
M-D-018 Reads and interprets single and double line graphs
M-D-019 Constructs single and double line graphs on paper and using technology
M-D-021 Constructs circle graphs on paper and using technology
M-D-022 Determines most appropriate type of graph for data and situation
M-D-025 Uses mean, median, mode, and range to describe data
M-D-026 Solves problems involving averages of sets of data (mean, median, mode, range)
M-D-027 Predicts probable outcomes by finding possible patterns from a collection of data
M-D-028 Uses appropriate vocabulary to explain probable outcomes and conclusions
M-D-029 Experiments with concepts of chance using manipulatives
M-D-030 Makes predictions based on experiments
M-D-031 Lists all possible outcomes of an experiment
M-D-032 Uses a fraction to describe the probability of a given event
M-D-033 Determines probability of independent and dependent events
M-D-034 Makes sample spaces by listing outcomes
M-D-036 Finds odds in favor of an event and the odds against an event
M-D-037 Writes probability in ratio, decimal, and percent form
M-D-039 Applies probability to real-life situations
M-D-043 Draws Venn diagrams
M-D-044 Interprets and evaluates the kinds of questions needed to gather information
M-D-045 Analyzes the results of statistics reported in the media
M-D-046
Analyzes various interpretations of data as plausible, possible, impossible
M-D-047 Solves problems by use of prediction, sampling, and probability
M-D-049 Solves problems involving statistics
M-D-050 Experiments with probability through the use of technology
M-E-015 Solves problems by using customary and metric units of measure
M-E-017 Solves problems by converting within customary units of measure
M-E-018 Solves problems by converting within metric units of measure
M-E-021 Solves problems in which dimensions are given in different units of the same measurement system
M-E-023 Analyzes the effect of error in measurement on outcomes
M-E-030 Solves problems involving elapsed time
M-E-034 Completes and utilizes tables and/or schedules to solve real-life situations
M-E-036 Uses formulas to determine distance, rate, or time
M-E-051 Identifies and constructs congruent figures using concrete models, drawings, and computer graphics
M-E-052 Identifies similar figures
M-E-053 Solves for the missing parts of similar figures
M-E-055 Analyzes and describes the relationship of common geometric figures and irregular figures according to size, position, orientation, congruence, and similarity
M-E-057 Classifies sets of 2-D and 3-D figures by specific attributes and properties
M-E-059 Uses concrete models, drawings, and computer graphics to construct translations, reflections, and rotations of geometric figures
M-E-060
Illustrates examples of translations, reflections, and rotations of geometric
figures
M-E-061 Identifies the results of translations, reflections, and rotations of geometric figures
M-E-062 Graphs translations, rotations, and reflections on a coordinate plane
M-E-063 Identifies a line segment, line, end point, and ray
M-E-064 Defines line segment, line, end point, and ray
M-E-065 Identifies and defines a plane
M-E-067 Defines side and diagonal
M-E-074 Constructs the bisector of a line segment using a straight edge and a compass
M-E-075 Constructs perpendicular lines using a straight edge and a compass
M-E-076 Constructs parallel lines using a straight edge and a compass
M-E-078 Measures an angle using a protractor
M-E-079 Constructs angles using a protractor
M-E-080 Constructs angles using a straight edge and a compass
M-E-081 Identifies and describes complementary and supplementary angles
M-E-086 Constructs an angle bisector using a straight edge and a compass
M-E-087 Identifies angles formed by the intersection of parallel lines and a transversal vertical, alternate interior, alternate exterior, corresponding
M-E-088 Determines the measure of angles formed by parallel lines intersected by a transversal when the measure of one angle is given
M-E-089 Measures the angles in a triangle
M-E-091 Determines the measure of a third angle in a triangle given the measures of the other two angles
M-E-092 Classifies triangles according to the measures of their angles and sides
M-E-093 Constructs isosceles, right, and equilateral triangles using a straight edge and a compass
M-E-094 Constructs congruent figures using a straight edge and a compass
M-E-095 Applies properties to similar triangles: SAS, ASA, SSS
M-E-096 Uses Pythagorean Theorem
M-E-100 Identifies the chord, center, and circumference of a circle
M-E-103 Applies the formula for the circumference of a circle
M-E-104 Measures and compares the sides of similar triangles and polygons
M-E-105 Identifies polygons and classifies by sides and angles
M-E-106 1dentifies the parts of a polygon and classifies them by sides and angles
M-E-107 Identifies polyhedrons and their parts
M-E-109 Distinguishes the relationship between perimeter and area of a polygon
M-E-110 Solves problems involving corresponding parts of similar polygons
M-E-111 Classifies the following quadrilaterals—square, rectangle, parallelogram
M-E-112 Classifies the following quadrilaterals—trapezoid, rhombus
M-E-116 Solves problems involving perimeter
M-E-117 Solves problems involving area (use grids if needed)
M-E-118 Solves problems involving volume (use manipulatives if needed)
M-E-119 Calculates the area of a rectangle and a square using both customary and metric units
M-E-120 Calculates the area of a parallelogram, triangle and circle using both customary and metric units
M-E-121 Calculates the area of a trapezoid using both customary and metric units
M-E-122 Calculates the area of an irregular polygon using both customary and metric units by dividing parts into standard polygons
M-E-124 Calculates the area of an irregular polygon using both customary and metric units by dividing parts into standard polygons
M-E-125 Uses concrete models and computer graphics to analyze the effect on area when dimensions of figures are changed
M-E-126 Uses both customary and metric units in calculating the surface area of a cylinder
M-E-127 Uses both customary and metric units in calculating the surface area of a prism
M-E-129 Expands the concept of additive area in solving complex area problems
M-E-131 Calculates the volume of a cylinder
M-E-132 Calculates the volume of a prism
M-E-133 Calculates the volume of a cube
M-E-134 Calculates the volume of a cone
M-E-135 Calculates the volume of a pyramid
M-E-136 Calculates the volume of a sphere
M-E-137 Estimates volume and surface area and checks for reasonableness
M-E-138 Explores the relationship of change in dimensions to change in surface area or volume
M-E-139
Recognizes and applies geometry to the world of art, architecture, construction,
etc.