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)

- 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)



MST3.I.N.05.16 - Use a variety of strategies to multiply three-digit by three-digit numbers Note: Multiplication by anything greater than a three-digit multiplier/ multiplicand should be done using technology. (operations)

MST3.I.N.05.17 - Use a variety of strategies to divide three-digit numbers by one- and two-digit numbers Note: Division by anything greater than a two-digit 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)



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 one-step equations using basic whole-number facts (equations and inequalities)

MST3.I.A.05.05 - Solve and explain simple one-step 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

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)



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)



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)



MST3.I.S.05.05 - List the possible outcomes for a single-event 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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