1. Problem Solving 
MST3.I.PS.05.01
 Know the difference between relevant and irrelevant
information when solving problems
MST3.I.PS.05.02
 Understand that some ways of representing a problem are more
efficient than others
MST3.I.PS.05.03
 Interpret information correctly, identify the problem, and
generate possible strategies and solutions
MST3.I.PS.05.04
 Act out or model with manipulatives activities involving
mathematical content from literature
MST3.I.PS.05.05
 Formulate problems and solutions from everyday situations
MST3.I.PS.05.06
 Translate from a picture/diagram to a numeric expression
MST3.I.PS.05.07
 Represent problem situations in verbally, numerically,
algebraically, and/or graphically
MST3.I.PS.05.08
 Select an appropriate representation of a problem
MST3.I.PS.05.09
 Understand the basic language of logic in mathematical
situations (and, or, not)
MST3.I.PS.05.10
 Work in collaboration with others to solve problems
MST3.I.PS.05.11
 Translate from a picture/diagram to a number or symbolic
expression
MST3.I.PS.05.12
 Use trial and error and the process of elimination to solve
problems
MST3.I.PS.05.13
 Model problems with pictures/diagrams or physical objects
MST3.I.PS.05.14
 Analyze problems by observing patterns
MST3.I.PS.05.15
 Make organized lists or charts to solve numerical problems
MST3.I.PS.05.16
 Discuss with peers to understand a problem situation
MST3.I.PS.05.17
 Determine what information is needed to solve a problem
MST3.I.PS.05.18
 Determine the efficiency of different representations of a
problem
MST3.I.PS.05.19
 Differentiate between valid and invalid approaches
MST3.I.PS.05.20
 Understand valid counterexamples
MST3.I.PS.05.21
 Explain the methods and reasoning behind the problem solving
strategies used
MST3.I.PS.05.22
 Discuss whether a solution is reasonable in the context of the
original problem
MST3.I.PS.05.23
 Verify results of a problem
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2. Reasoning and Proof 
MST3.I.RP.05.01
 Recognize that mathematical ideas can be supported using a
variety of strategies
MST3.I.RP.05.02
 Understand that mathematical statements can be supported,
using models, facts and relationships to explain their thinking
MST3.I.RP.05.03
 Investigate conjectures, using arguments and appropriate
mathematical terms
MST3.I.RP.05.04
 Make and evaluate conjectures, using a variety of strategies
MST3.I.RP.05.05
 Justify general claims or conjectures, using manipulatives,
models, expressions, and mathematical relationships
MST3.I.RP.05.06
 Develop and explain an argument verbally, numerically, and/or
graphically
MST3.I.RP.05.07
 Verify claims other students make, using examples and
counterexamples when appropriate
MST3.I.RP.05.08
 Support an argument through examples/counterexamples and
special cases
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3.
Communication 
MST3.I.CM.05.01 
Provide an organized thought process that is correct, complete,
coherent, and clear
MST3.I.CM.05.02
 Explain a rationale for strategy selection
MST3.I.CM.05.03
 Organize and accurately label work
MST3.I.CM.05.04
 Use both written and verbal form to share organized
mathematical ideas through the manipulation of objects,
numerical tables, drawings, pictures, charts, graphs, tables,
diagrams, models, and symbols
MST3.I.CM.05.05
 Answer clarifying questions from others
MST3.I.CM.05.06
 Understand mathematical solutions shared by other students
MST3.I.CM.05.07
 Raise questions that elicit, extend, or challenge others’
thinking
MST3.I.CM.05.08
 Consider strategies used and solutions found by others in
relation to their own work
MST3.I.CM.05.09
 Increase their use of mathematical vocabulary and language
when communicating with others
MST3.I.CM.05.10
 Use appropriate vocabulary when describing objects,
relationships, mathematical solutions and rationale
MST3.I.CM.05.11
 Decode and comprehend mathematical visuals and symbols to
construct meaning
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4. Connections 
MST3.I.CN.05.01 
Understand and make connections and conjectures in their
everyday experiences to mathematical ideas
MST3.I.CN.05.02
 Explore and explain the relationship between mathematical
ideas
MST3.I.CN.05.03
 Connect and apply mathematical information to solve problems
MST3.I.CN.05.04
 Understand multiple representations and how they are related
MST3.I.CN.05.05
 Model situations with objects and representations and be able
to draw conclusions
MST3.I.CN.05.06
 Recognize and provide examples of the presence of mathematics
in their daily lives
MST3.I.CN.05.07
 Apply mathematics to solve problems situations that develop
outside of mathematics
MST3.I.CN.05.08
 Investigate the presence of mathematics in careers and areas
of interest
MST3.I.CN.05.09
 Recognize and apply mathematics to other disciplines and areas
of interest
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5.
Representation 
MST3.I.R.05.01
 Use physical objects, drawings, charts, tables, graphs,
symbols, equations or objects created using technology as
representations
MST3.I.R.05.02
 Explain, describe, and defend mathematical ideas using
representations
MST3.I.R.05.03
 Read, interpret, and extend external models
MST3.I.R.05.04
 Use standard and nonstandard representations with accuracy and
detail
MST3.I.R.05.05
 Use representations to explore problem situations
MST3.I.R.05.06
 Investigate relationships between different representations
and their impact on a given problem
MST3.I.R.05.07
 Use mathematics to show and understand physical phenomena
(e.g., determine the perimeter of a bulletin board)
MST3.I.R.05.08
 Use mathematics to show and understand social phenomena (e.g.,
construct tables to organize data showing book sales)
MST3.I.R.05.09
 Use mathematics to show and understand mathematical phenomena
(e.g., find the missing value that makes the equation true:
(3 + 4) + 5 = 3 + (4 + ___)
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1. Number Sense & Operations 
Number Systems
MST3.I.N.05.01
 Read and write whole numbers to millions (number systems)
MST3.I.N.05.02
 Compare and order numbers to millions (number systems)
MST3.I.N.05.03
 Understand the place value structure of the base ten number
system: 10 ones = 1 ten 10 tens = 1 hundred 10 hundreds = 1
thousand 10 thousands = 1 ten thousand 10 ten thousands = 1
hundred thousand 10 hundred thousands = 1 million (number
systems)
MST3.I.N.05.04
 Create equivalent fractions, given a fraction (number systems)
MST3.I.N.05.05
 Compare and order fractions including unlike denominators
(with and without the use of a number line) Note: Commonly used
fractions such as those that might be indicated on ruler,
measuring cup, etc. (number systems)
MST3.I.N.05.06
 Understand the concept of ratio (number systems)
MST3.I.N.05.07
 Express ratios in different forms (number systems)
MST3.I.N.05.08
 Read, write, and order decimals to thousandths (number
systems)
MST3.I.N.05.09
 Compare fractions using < and > or = (number systems)
MST3.I.N.05.10  Compare decimals using < and > or = (number systems)
MST3.I.N.05.11
 Understand that percent means part of 100, and write percents
as fractions and decimals (number systems)
Number Theory
MST3.I.N.05.12
 Recognize that some numbers are only divisible by one and
themselves (prime) and others have multiple divisors (composite)
(number theory)
MST3.I.N.05.13
 Calculate multiples of a whole number and the least common
multiple of two numbers (number theory)
MST3.I.N.05.14
 Identify the factors of a given number (number theory)
MST3.I.N.05.15
 Find the common factors and the greatest common factor of two
numbers (number theory)
Operations
MST3.I.N.05.16
 Use a variety of strategies to multiply threedigit by
threedigit numbers Note: Multiplication by anything greater
than a threedigit multiplier/ multiplicand should be done using
technology. (operations)
MST3.I.N.05.17
 Use a variety of strategies to divide threedigit numbers by
one and twodigit numbers Note: Division by anything greater
than a twodigit divisor should be done using technology.
(operations)
MST3.I.N.05.18
 Evaluate an arithmetic expression using order of operations
including multiplication, division, addition, subtraction and
parentheses (operations)
MST3.I.N.05.19
 Simplify fractions to lowest terms (operations)
MST3.I.N.05.20
 Convert improper fractions to mixed numbers, and mixed numbers
to improper fractions (operations)
MST3.I.N.05.21
 Use a variety of strategies to add and subtract fractions with
like denominators (operations)
MST3.I.N.05.22
 Add and subtract mixed numbers with like denominators
(operations)
MST3.I.N.05.23A
 Use a variety of strategies to add, and subtract decimals to
thousandths (operations)
MST3.I.N.05.23B
 Use a variety of strategies to multiply, and divide decimals
to thousandths (operations)
Estimation
MST3.I.N.05.24
 Round numbers to the nearest hundredth and up to 10,000
(estimation)
MST3.I.N.05.25
 Estimate sums, differences of fractions with like denominators
(estimation)
MST3.I.N.05.26A
 Estimate sums and differences of decimals (estimation)
MST3.I.N.05.26B
 Estimate products and quotients of decimals (estimation)
MST3.I.N.05.27
 Justify the reasonableness of answers using estimation
(estimation)
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2.
Algebra 
Variables and Expressions
MST3.I.A.05.01 
Define and use appropriate terminology when referring to
constants, variables, and algebraic expressions (variables and
expressions)
MST3.I.A.05.02
 Translate simple verbal expressions into algebraic expressions
(variables and expressions)
MST3.I.A.05.03
 Substitute assigned values into variable expressions and
evaluate using order of operations (variables and expressions)
Equations and Inequalities
MST3.I.A.05.04
 Solve simple onestep equations using basic wholenumber facts
(equations and inequalities)
MST3.I.A.05.05
 Solve and explain simple onestep equations using inverse
operations involving whole numbers
MST3.I.A.05.06
 Evaluate the perimeter formula for given input values
(equations and inequalities)
Patterns, Relations, and Functions
MST3.I.A.05.07
 Create and explain patterns and algebraic relationships (e.g.,
2,4,6,8...) algebraically: 2n (doubling) (patterns, functions,
and relations)
MST3.I.A.05.08
 Create algebraic or geometric patterns using concrete objects
or visual drawings (e.g., rotate and shade geometric shapes)
(patterns, functions, and relations)
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3. Geometry 
Shapes
MST3.I.G.05.01 
Calculate the perimeter of regular and irregular polygons
(shapes)
Geometric Relationships
MST3.I.G.05.02
 Identify pairs of similar triangles (geometric relationships)
MST3.I.G.05.03

Identify the ratio of corresponding sides of similar triangles
(geometric relationships)
MST3.I.G.05.04

Classify quadrilaterals by properties of their angles and
sides (geometric relationships)
MST3.I.G.05.05

Know that the sum of the interior angles of a quadrilateral is
360 degrees (geometric relationships)
MST3.I.G.05.06
 Classify triangles by properties of their angles and sides
(geometric relationships)
MST3.I.G.05.07

Know that the sum of the interior angles of a triangle is 180
degrees (geometric relationships)
MST3.I.G.05.08

Find a missing angle when given two angles of a triangle
(geometric relationships)
MST3.I.G.05.09

Identify pairs of congruent triangles (geometric
relationships)
MST3.I.G.05.10

Identify corresponding parts of congruent triangles (geometric
relationships)
Transformational Geometry
MST3.I.G.05.11
 Identify and draw lines of symmetry of basic geometric shapes
(transformational geometry)
Coordinate Geometry
MST3.I.G.05.12

Identify and plot points in the first quadrant (coordinate
geometry)
MST3.I.G.05.13

Plot points to form basic geometric shapes (identify and
classify) (coordinate geometry)
MST3.I.G.05.14

Calculate perimeter of basic geometric shapes drawn on a
coordinate plane (rectangles and shapes composed of rectangles
having sides with integer lengths and parallel to the axes)
(coordinate geometry
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4. Measurement 
Units of Measurement
MST3.I.M.05.01 
Use a ruler to measure to the nearest 1/2. 1/4 inch, and 1/8
inch (units of measurement)
MST3.I.M.05.02
 Identify customary equivalent units of length (units of
measurement)
MST3.I.M.05.03
 Measure to the nearest centimeter (units of measurement)
MST3.I.M.05.04
 Identify equivalent metric units of length (units of
measurement)
MST3.I.M.05.05A
 Convert measurement within a given system (customary) (units
of measurement)
MST3.I.M.05.05B
 Convert measurement within a given system (metric) (units of
measurement)
Tools and Methods
MST3.I.M.05.06
 Determine the tool and technique to measure with an
appropriate level of precision: lengths and angles (tools and
methods)
Units
MST3.I.M.05.07
 Calculate elapsed time in hours and minutes (units)
MST3.I.M.05.08
 Measure and draw angles using a protractor (units)
Estimation
MST3.I.M.05.09
 Determine personal references for customary units of length
(e.g., your pace is approximately 3 feet, your height is
approximately 5 feet, etc.) (estimation)
MST3.I.M.05.10

Determine personal references for metric units of length
(estimation)
MST3.I.M.05.11A
 Justify the reasonableness of estimates (customary)
(estimation)
MST3.I.M.05.11B

Justify the reasonableness of estimates (metric) (estimation)
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5.
Statistics and
Probability 
Collection of Data
MST3.I.S.05.01 
Collect and record data from a
variety of sources (e.g., newspapers, magazines, polls, charts,
and surveys) (collection of data)
Organization and Display of Data
MST3.I.S.05.02 
Display
data in a line graph to show an increase or decrease over time
Analysis of Data
MST3.I.S.05.03 
Calculate
the mean for a given set of data and use to describe a set of
data (analysis of data)
Predictions from Data
MST3.I.S.05.04 
Formulate
conclusions and make predictions from graphs (predictions from
data)
Probability
MST3.I.S.05.05 
List the
possible outcomes for a singleevent experiment (probability)
MST3.I.S.05.06 
Record
experiment results using fractions/ratios (probability)
MST3.I.S.05.07 
Create a
sample space and determine the probability of a single event,
given a simple experiment (e.g., rolling a number cube)
(probability)
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