1. Problem Solving 
MST3.I.PS.06.01  Know the difference between
relevant and irrelevant information when solving problems
MST3.I.PS.06.02 
Understand
that some ways of representing a problem are more efficient than
others
MST3.I.PS.06.03 
Interpret
information correctly, identify the problem, and generate
possible strategies and solutions
MST3.I.PS.06.04 
Act out or
model with manipulatives activities involving mathematical
content from literature
MST3.I.PS.06.05 
Formulate
problems and solutions from everyday situations
MST3.I.PS.06.06 
Translate
from a picture/diagram to a numeric expression
MST3.I.PS.06.07 
Represent
problem situations in verbally, numerically, algebraically,
and/or graphically
MST3.I.PS.06.08 
Select an
appropriate representation of a problem
MST3.I.PS.06.09 
Understand
the basic language of logic in mathematical situations (and, or,
and not)
MST3.I.PS.06.10 
Work in
collaboration with others to solve problems
MST3.I.PS.06.11 
Translate
from a picture/diagram to a number or symbolic expression
MST3.I.PS.06.12 
Use trial
and error and the process of elimination to solve problems
MST3.I.PS.06.13 
Model
problems with pictures/diagrams or physical objects
MST3.I.PS.06.14 
Analyze
problems by observing patterns
MST3.I.PS.06.15 
Make
organized lists or charts to solve numerical problems
MST3.I.PS.06.16 
Discuss
with peers to understand a problem situation
MST3.I.PS.06.17 
Determine
what information is needed to solve a problem
MST3.I.PS.06.18 
Determine
the efficiency of different representations of a problem
MST3.I.PS.06.19 
Differentiate between valid and invalid approaches
MST3.I.PS.06.20 
Understand
valid counterexamples
MST3.I.PS.06.21 
Explain
the methods and reasoning behind the problem solving strategies
used
MST3.I.PS.06.22 
Discuss
whether a solution is reasonable in the context of the original
problem
MST3.I.PS.06.23 
Verify
results of a problem
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2. Reasoning and Proof 
MST3.I.RP.06.01  Recognize
that mathematical ideas can be supported using a variety of
strategies
MST3.I.RP.06.02 
Understand
that mathematical statements can be supported, using models,
facts and relationships to explain their thinking
MST3.I.RP.06.03 
Investigate conjectures, using arguments and appropriate
mathematical terms
MST3.I.RP.06.04 
Make and
evaluate conjectures, using a variety of strategies
MST3.I.RP.06.05 
Justify
general claims or conjectures, using manipulatives, models,
expressions, and mathematical relationships
MST3.I.RP.06.06 
Develop
and explain an argument verbally, numerically, algebraically,
and/or graphically
MST3.I.RP.06.07 
Verify
claims other students make, using examples and counterexamples
when appropriate
MST3.I.RP.06.08 
Support an
argument through examples/counterexamples and special cases
MST3.I.RP.06.09 
Devise
ways to verify results
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3.
Communication 
MST3.I.CM.06.01 
Provide an organized thought
process that is correct, complete, coherent, and clear
MST3.I.CM.06.02 
Explain a
rationale for strategy selection
MST3.I.CM.06.03 
Organize
and accurately label work
MST3.I.CM.06.04 
Use
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
in
MST3.I.CM.06.05 
Answer
clarifying questions from others
MST3.I.CM.06.06 
Understand
mathematical solutions shared by other students
MST3.I.CM.06.07 
Raise
questions that elicit, extend, or challenge others’ thinking
MST3.I.CM.06.08 
Consider
strategies used and solutions found by others in relation to
their own work
MST3.I.CM.06.09 
Use
appropriate mathematical vocabulary and language when
communicating with others
MST3.I.CM.06.10 
Use
appropriate vocabulary when describing objects, relationships,
mathematical solutions and rationale
MST3.I.CM.06.11 
Decode and
comprehend mathematical visuals and symbols to construct meaning
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4. Connections 
MST3.I.CN.06.01 
Understand and make connections
and conjectures in their everyday experiences to mathematical
ideas
MST3.I.CN.06.02 
Explore
and explain the relationship between mathematical ideas
MST3.I.CN.06.03 
Connect
and apply mathematical information to solve problems
MST3.I.CN.06.04 
Understand
multiple representations and how they are related
MST3.I.CN.06.05 
Model
situations with objects and representations and be able to draw
conclusions
MST3.I.CN.06.06 
Recognize
and provide examples of the presence of mathematics in their
daily lives
MST3.I.CN.06.07 
Apply
mathematics to solve problems situations that develop outside of
mathematics
MST3.I.CN.06.08 
Investigate the presence of mathematics in careers and areas or
interest
MST3.I.CN.06.09 
Recognize
and apply mathematics to other disciplines and areas of interest
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5.
Representation 
MST3.I.R.06.01 
Use
physical objects, drawings, charts, tables, graphs, symbols,
equations or objects created using technology as representations
MST3.I.R.06.02 
Explain,
describe, and defend mathematical ideas using representations
MST3.I.R.06.03 
Read,
interpret, and extend external models
MST3.I.R.06.04 
Use
standard and nonstandard representations with accuracy and
detail
MST3.I.R.06.05 
Use
representations to explore problem situations
MST3.I.R.06.06 
Investigate
relationships between different representations and their impact
on a given problem
MST3.I.R.06.07 
Use
mathematics to show and understand physical phenomena (e.g.,
determine the perimeter of a bulletin board)
MST3.I.R.06.08
 Use
mathematics to show and understand social phenomena (e.g.,
construct tables to organize data showing book sales)
MST3.I.R.06.09  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 and
Operations 
Number Systems
MST3.I.N.06.01 
Read and write whole numbers to
trillions (number systems)
MST3.I.N.06.02 
Define and
identify the commutative and associative properties of addition
and multiplication (number systems)
MST3.I.N.06.03 
Define and
identify the distributive property of multiplication over
addition (number systems)
MST3.I.N.06.04 
Define and
identify the identity and inverse properties of addition and
multiplication (number systems)
MST3.I.N.06.05 
Define and
identify the zero property of multiplication (number systems)
MST3.I.N.06.06 
Understand
the concept of rate (number systems)
MST3.I.N.06.07 
Express
equivalent ratios as a proportion (number systems)
MST3.I.N.06.08  Distinguish
the difference between rate and ratio (number systems)
MST3.I.N.06.09 
Solve
proportions using equivalent fractions (number systems)
MST3.I.N.06.10 
Verify the
proportionality using the product of the means equals the
product of the extremes (number systems)
MST3.I.N.06.11  Read,
write, identify percents of a whole (0% to 100%) (number
systems)
MST3.I.N.06.12 
Solve
percent problems involving percent, rate, and base (number
systems)
MST3.I.N.06.13 
Define
absolute value and determine the absolute value of rational
numbers (including positive and negative) (number systems)
MST3.I.N.06.14
 Locate
rational numbers on a number line (including positive and
negative) (number systems)
MST3.I.N.06.15 
Order
rational numbers (including positive and negative) (number
systems)
Operations
MST3.I.N.06.16 
Add and
subtract fractions with unlike denominators (operations)
MST3.I.N.06.17 
Multiply
and divide fractions with unlike denominators (operations)
MST3.I.N.06.18 
Add,
subtract, multiply and divide mixed numbers with unlike
denominators (operations)
MST3.I.N.06.19 
Identify
the multiplicative inverse (reciprocal) of a number (operations)
MST3.I.N.06.20  Represent
fractions as terminating or repeating decimals (operations)
MST3.I.N.06.21 
Find
multiple representations of rational numbers (fractions,
decimals, and percents 0 to 100) (operations)
MST3.I.N.06.22 
Evaluate
numerical expressions using order of operations (may include
exponents of two and three) (operations)
MST3.I.N.06.23 
Represent
repeated multiplication in exponential form (operations)
MST3.I.N.06.24 
Represent
exponential form as repeated multiplication (operations)
MST3.I.N.06.25 
Evaluate
expressions having exponents where the power is an exponent of
one, two or three (operations)
Estimation
MST3.I.N.06.26 
Estimate a
percent of quantity (0% to 100%) (estimation)
MST3.I.N.06.27 
Justify the
reasonableness of answers using estimation (including rounding)
(estimation)
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2. Algebra 
Variables and Expressions
MST3.I.A.06.01 
Translate twostep verbal
expressions into algebraic expressions (variables and
expressions)
MST3.I.A.06.02A
 Use
substitution to evaluate algebraic expressions (may include
exponents of one, two, and three) (variables and expressions)
MST3.I.A.06.02B 
Use
substitution to evaluate algebraic expressions (for two variable
expressions) (variables and expressions)
Equations and Inequalities
MST3.I.A.06.03 
Translate
twostep verbal sentences into algebraic equations (equations
and inequalities)
MST3.I.A.06.04 
Solve and
explain simple twostep equations involving whole numbers using
inverse operations (equations and inequalities)
MST3.I.A.06.05 
Solve
simple proportions within context (equations and inequalities)
MST3.I.A.06.06 
Evaluate
formulas for given input values (circumference, area, volume,
distance, temperature, interest, etc.) (equations and
inequalities)
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3. Geometry 
Shapes
MST3.I.G.06.01 
Calculate the length of
corresponding sides of similar triangles, using proportional
reasoning (shapes)
MST3.I.G.06.02 
Determine
area of triangles and quadrilaterals (squares, rectangles,
rhombi, and trapezoids) and develop formulas (shapes)
MST3.I.G.06.03 
Use a
variety of strategies to find area of regular and irregular
polygons (shapes)
MST3.I.G.06.04 
Determine
the volume of rectangular prisms by counting cubes and develop
formula (shapes)
MST3.I.G.06.05 
Identify
radius, diameter, chords and central angles of a circle (shapes)
MST3.I.G.06.06 
Understand
the relationship between the diameter and radius of a circle
(shapes)
MST3.I.G.06.07 
Determine
the area and circumference the of a circle, using the
appropriate formula (shapes)
MST3.I.G.06.08 
Calculate
the area of a sector of a circle, given the measure of a central
angle and the radius of the circle (shapes)
MST3.I.G.06.09 
Understand
the relationship between the circumference and the diameter of a
circle (shapes)
Coordinate Geometry
MST3.I.G.06.10 
Identify
and plot points in all four quadrants (coordinate geometry)
MST3.I.G.06.11 
Calculate
the area of basic polygons drawn on a coordinate plane
(rectangles and shapes composed of rectangles having sides with
integer lengths) (coordinate geometry)
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4. Measurement 
Units of Measurement
MST3.I.M.06.01 
Measure capacity and calculate
volume of a rectangular prism (units of measurement)
MST3.I.M.06.02
 Identify
customary units of capacity (cups, pints, quarts, and gallons)
(units of measurement)
MST3.I.M.06.03 
Identify
equivalent customary units of capacity (cups to pints, pints to
quarts, and quarts to gallons) (units of measurement)
MST3.I.M.06.04
 Identify metric units of capacity (liter to milliliter)
MST3.I.M.06.05
 Identify
equivalent metric units of capacity (milliliter to liter and
liter to milliliter) (units of measurement)
Tools and Methods
MST3.I.M.06.06 
Determine
the tool and technique to measure with an appropriate level of
precision: capacity (tools and methods)
Estimation
MST3.I.M.06.07 
Estimate
volume, area, and circumference (see figures identified in
geometry strand) (estimation)
MST3.I.M.06.08 
Justify the
reasonableness of estimates (estimation)
MST3.I.M.06.09 
Determine
personal references for capacity (estimation)
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5. Statistics and
Probability 
Collection of Data
MST3.I.S.06.01 
Develop the concept of sampling
when collecting data from a population and decide the best
method to collect data for a particular question (collection of
data)
Organization of Data
MST3.I.S.06.02 
Record data
in a frequency table (organization of data)
MST3.I.S.06.03 
Construct
Venn diagrams to sort data (organization of data)
MST3.I.S.06.04 
Determine
and justify the most appropriate graph to display a given set of
data (pictograph, bar graph, line graph, histogram or circle
graph) (organization of data)
Analysis of Data
MST3.I.S.06.05 
Determine
the mean, mode, and median for a given set of data (analysis of
data)
MST3.I.S.06.06 
Determine
the range for a given set of data (analysis of data)
MST3.I.S.06.07  Read and
interpret graphs (analysis of data)
Predictions from Data
MST3.I.S.06.08 
Justify
predictions made from data (predictions from data)
Probability
MST3.I.S.06.09  List
possible outcomes for compound events (probability)
MST3.I.S.06.10 
Determine
the probability of dependent events (probability)
MST3.I.S.06.11 
Determine
the number of possible outcomes for a compound event by using
the fundamental counting principle and use this to determine the
probabilities of events when outcomes have equal probability
(probability)
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