Number Concepts, Relations, Operations, and Computation Problem Solving/Logic
Patterns/Functions Probability and Statistics Measurement/GeometryM-A-012 Reads, writes, and uses numbers
through at least six-digits and identifies place value
M-A-013 Reads, writes, and uses numbers
through at least nine-digits and identifies place value
M-A-014 Recognizes and writes numbers in
words and standard notation
M-A-015 Writes numbers appropriate to grade
level in expanded form
M-A-016 Compares and orders whole numbers
appropriate to grade level
M-A-023 Identifies Roman numeral symbols
M-A-024 Translates Arabic numerals to Roman
numerals
M-A-025 Translates Roman numerals to Arabic numerals
Addition and Subtraction—Whole Numbers
M-A-027 Uses concrete objects and technology
to develop understanding of quantities and their relationships in addition
M-A-028 Identifies patterns in addition
M-A-034 Uses concrete objects and technology to develop understanding of quantities and their relationships in
M-A-037 Writes a number sentence to describe
the separating of sets
M-A-038 Identifies inequalities using the
symbols < and >
M-A-039 Rearranges a horizontal number
sentence to a vertical number sentence
M-A-045 Uses concrete materials to show the
inverse relationship between addition and subtraction
M-A-047 Solves simple one-step equations
using addition or subtraction
M-A-050 Solves three and four-digit addition
and subtraction problems with regrouping
M-A-0521 Selects the appropriate operation
for real-life problems involving addition and subtraction and justifies the
choice
M-A-053 Solves real-life problems involving
addition and subtraction
M-A-054 Uses addition and subtraction
properties and strategies to perform mental calculations beyond fact recall
M-A-055 Uses a calculator to solve problems involving addition and subtraction of large numbers
Multiplication and Division—Whole Numbers
M-A-063 Uses concrete objects to develop
understanding of quantities and their relationships in multiplication
M-A-066 Uses concrete objects to develop
understanding of quantities and their relationships in division
M-A-068 Recalls multiplication facts through
12
M-A-069 Recalls division facts through 12
M-A-070 Recognizes the commutative and
associative properties of multiplication
M-A-071 Uses real-life situations that
involve multiplication of two or three-digit factors by a one-digit factor
M-A-072 Uses manipulatives to recall
multiplication and division in order to solve problems with two or more digits
M-A-073 Uses technology to solve real-life situations that involve multiplication of two or three-digit factors by two or
M-A-074 Uses concrete materials to represent
factor pairs of numbers
M-A-075 Finds common factors of a set of
numbers
M-A-080 Uses concrete materials to show the
inverse relationship between multiplication and division
M-A-081 Uses the inverse relationship
between multiplication and division to complete number sentences
M-A-082 Solves simple one-step equations
using multiplication and division
M-A-083 Solves division problems with
divisors less than 10
M-A-084 Solves division problems with
divisors that are multiples of 10
M-A-085 Solves division problems with
divisors less than 100
M-A-087 Selects the appropriate operation for real-life problems involving multiplication and division and justifies the choice
M-A-093 Lists at least six multiples of a given number
M-A-094 Finds Least Common Multiple
M-A-095 Finds Greatest Common Factor
M-A-099 Rounds whole numbers to nearest ten
M-A-100 Rounds whole numbers to nearest hundred and nearest thousand
M-A-102 Applies rounding to estimate whole number calculations
Decimals
M-A-103 Uses concrete materials to demonstrate place value concepts to tenths
M-A-104 Uses concrete materials to demonstrate place value concepts to hundredths
M-A-105 Uses concrete materials to demonstrate place value concepts to thousandths
M-A-106 Uses concrete materials to compare and order decimals to specified place value position
M-A-107 Identifies value and place of digits to the tenths and hundredths place
M-A-108 Identifies value and place of digits to the thousandths place
M-A-109 Adds and subtracts decimals using concrete materials and records symbols through tenths
M-A-110 Adds and subtracts decimals through thousandths
M-A-117 Applies computational skills to real-life situations involving decimals through the use of technology
M-A-119 Rounds decimal representations of numbers to the nearest whole number
M-A-136 Uses money to extend place value concepts of tenths and hundredths
Fractions
M-A-142 Uses concrete models of wholes or sets to identify and/or record sixths, eighths, tenths
M-A-143 Recognizes that a fraction may be divided again into smaller fractions using a concrete model
M-A-144 Uses concrete models to compare fractional parts: halves, thirds, fourths, sixths, eighths
M-A-145 Uses concrete models and technology to show patterns of equivalent fractions and records their symbolic representation
M-A-147 Writes fractions in words and standard notation
M-A-148 Compares the fractional parts of two equivalent units
M-A-149 Uses factors and multiples to write equivalent fractions
M-A-150 Uses factors to reduce fractions to lowest terms
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-164 Rounds fractions to the nearest whole number
M-A-165 Applies computational skills to real-life situations which involve fractions
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-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-016 Revises problem solving process as needed
M-B-017 Facilitates problem solving by simplifying parts of the problem
M-B-020 Generates and extends problems
M-B-021 Discusses alternate solution strategies and relationships among problems
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-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-010 Identifies, describes, and extends fractional patterns using symbols
M-C-013 Uses concrete objects and pictorials to explore number patterns involving tenths and hundredths
M-C-014 Uses concrete objects and pictorials to explore number patterns involving multiplication tables
M-C-015 Uses concrete objects and pictorials to explore number patterns involving multiples
M-C-016 Uses concrete objects and pictorials to explore number patterns involving divisibility
M-C-024 Explores number patterns using calculator and/or technology
M-C-027 Investigates patterns generated by changing geometric shapes using models and computer graphics when appropriate
M-C-029 Plots ordered pairs on a graph
M-D-006 Collects, organizes, and describes data
M-D-010 Makes predictions based on graphed data
M-D-011 Interprets data to solve application and non-routine problems involving real-life situations
M-D-012 Constructs vertical and horizontal bar graphs and pictographs on paper and using technology
M-D-013 Identifies main idea of a graph
M-D-014 Explores proportion by reducing or enlarging drawings using grids
M-D-015 Formulates questions from organized data
M-D-017 Reads and interprets data in horizontal and vertical bar graphs and pictographs
M-D-023 Plots points that represent ordered pairs of whole numbers arising from problem situations on a whole number coordinate
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-039 Applies probability to real-life situations
M-E-008 Uses concrete models of customary and metric units to measure length/height
M-E-009 Uses concrete models of customary and metric units to measure volume/capacity
M-E-010 Uses concrete models of customary and metric units to measure weight/mass
M-E-011 Estimates the number of standard units needed to measure a given property of an object
M-E-012 Checks an estimated measurement by actual measurement
M-E-013 Identifies relationships among measurement of length/height, volume/capacity, weight/mass
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-019 Applies measurement concepts in order to solve real-life situations
M-E-020 Applies rounding techniques to solve real-life situations involving measurement
M-E-029 Identifies minute (60 seconds) on traditional and digital clocks
M-E-030 Solves problems involving elapsed time
M-E-032 Determines temperature from a thermometer in both Celsius and Fahrenheit measurement
M-E-033 Determines distance on a map using both the customary and metric systems
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-050 Identifies and demonstrates lines and points of symmetry using concrete models, paper folding, and computer graphics
M-E-051 Identifies and constructs congruent figures using concrete models, drawings, and computer graphics
M-E-052 Identifies similar figures
M-E-054 Uses concrete models to identify curved surfaces, flat surfaces, faces, edges, and corners of solid geometric shapes
M-E-059 Uses concrete models, drawings, and computer graphics to construct translations, reflections, and rotations of geometric figures
M-E-063 Identifies a line segment, line, end point, and ray
M-E-066 Identifies side and diagonal
M-E-068 Identifies models that represent parallel lines
M-E-069 Identifies models that represent perpendicular lines
M-E-070 Uses drawings, paper folding, paper patterns, blocks, and computer techniques to construct models of intersecting lines
M-E-071 Uses drawings, paper folding, paper patterns, blocks, and computer techniques to construct models of parallel lines
M-E-072 Uses drawings, paper folding, paper patterns, blocks, and computer techniques to construct models of perpendicular lines
M-E-073 Uses drawings, paper folding, paper patterns, blocks, and computer techniques to construct models of related 2-D and 3-D figures
M-E-077 Identifies closed and open curves
M-E-083 Compares and contrasts angles in relationship to right angles
M-E-084 Uses drawings, paper folding, paper patterns, blocks, and computer techniques to construct models of right angles
M-E-085 Recognizes and classifies acute, obtuse, and right angles
M-E-099 Identifies the diameter and radius of a circle
M-E-101 Uses a compass to construct a circle
M-E-111 Classifies the following quadrilaterals square, rectangle, parallelogram
M-E-114 Uses concrete models to determine the perimeter of an object in both customary and metric units
M-E-116 Solves problems involving perimeter
M-E-117 Solves problems involving area (use grids if needed)
M-E-119 Calculates the area of a rectangle and a square using both customary and metric units