Mastery Objectives for MATH GRADE 3

Number Concepts, Relations, Operations, and Computation
Problem Solving/Logic
Patterns/Functions
Probability and Statistics
Measurement/Geometry

NUMBER CONCEPTS, RELATIONS, OPERATIONS, AND COMPUTATION

M-A-011 Reads, writes, and uses at least three-digit numbers and identifies place value

M-A-012 Reads, writes, and uses numbers through at least six-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-017 Pairs numbers to determine odd or even

M-A-023 Identifies Roman numeral symbols

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-029 Demonstrates the use of commutative and associative properties of addition

M-A-034 Uses concrete objects and technology to develop understanding of quantities and their relationships in subtraction

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-046 Uses the inverse relationship between addition and subtraction to complete number sentences

M-A-047 Solves simple one-step equations using addition or subtraction

M-A-049 Solves two-digit addition and subtraction problems with regrouping

M-A-050 Solves three and four-digit addition and subtraction problems with regrouping

M-A-052 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-062 Writes a number sentence to describe the joining of equivalent sets

M-A-063 Uses concrete objects to develop understanding of quantities and their relationships in multiplication

M-A-065 Writes a number sentence to describe the separation of a set into equivalent sets

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-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-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-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-099 Rounds whole numbers to nearest ten

M-A-100 Rounds whole numbers to nearest hundred and nearest thousand

Decimals

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-109 Adds and subtracts decimals using concrete materials and records symbols through tenths

M-A-117 Applies computational skills to real-life situations involving decimals through the use of technology

M-A-133 Computes correct change from coin amounts that have been mastered

M-A-134 Determines the value of a given set of bills and coins

M-A-135 Writes the value of a given amount of money using words or dollar sign with decimal

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-153 Changes a fraction to a decimal and a decimal to a fraction

PROBLEM SOLVING/LOGIC

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-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-027 Makes decisions based on the results of problem solving

M-B-029 Formulates original problems

PATTERNS/FUNCTIONS

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-012 Uses concrete objects and pictorials to explore number patterns involving odd and even numbers

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-023 Uses patterns to generalize in order to continue the pattern

M-C-024 Explores number patterns using calculator and/or technology

M-C-029 Plots ordered pairs on a graph

PROBABILITY AND STATISTICS

M-D-005 Makes bar-type graphs using objects, pictures of objects, or colored cells, labeling the frequency axis with numerals

M-D-006 Collects, organizes, and describes data

M-D-007 Makes bar-type graphs using colored cells with each cell representing a single cell

M-D-008 Draws conclusions involving three or four pieces of information displayed on a graph

M-D-009 Describes data displayed on a graph

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-015 Formulates questions from organized data

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-039 Applies probability to real-life situations

MEASUREMENT/GEOMETRY

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-026 Identifies hour (60 minutes) on traditional and digital clocks

M-E-027 Identifies half hour on traditional and digital clocks

M-E-028 Identifies quarter hour on traditional and digital clocks

M-E-029 Identifies minute (60 seconds) on traditional and digital clocks

M-E-032 Determines temperature from a thermometer in both Celsius and Fahrenheit measurement

M-E-034 Completes and utilizes tables and/or schedules to solve real-life situations

M-E-037 Uses concrete models to identify and describe plane geometric shapes: circles, squares, rectangles, triangles, ovals

M-E-047 Draws half of a figure given the other half

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-054 Uses concrete models to identify curved surfaces, flat surfaces, faces, edges, and corners of solid geometric shapes

M-E-063 Identifies a line segment, line, end point, and ray

M-E-066 Identifies side and diagonal

M-E-077 Identifies closed and open curves

M-E-082 Identifies models that represent right angles

M-E-113 Measures the sides of rectangles, triangles, and squares

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)

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