1. Problem Solving

MST3.E.PS.03.01 - Explore, examine, and make observations about a social problem or mathematical situation

MST3.E.PS.03.02 - Understand that some ways of representing a problem are more helpful than others

MST3.E.PS.03.03 - Interpret information correctly, identify the problem, and generate possible solutions

MST3.E.PS.03.04 - Act out or model with manipulatives activities involving mathematical content from literature

MST3.E.PS.03.05 - Formulate problems and solutions from everyday situations

MST3.E.PS.03.06 - Translate from a picture/diagram to a numeric expression

MST3.E.PS.03.07 - Represent problem situations in oral, written, concrete, pictorial, and graphical forms

MST3.E.PS.03.08 - Select an appropriate representation of a problem

MST3.E.PS.03.09 - Use trial and error to solve problems

MST3.E.PS.03.10 - Use process of elimination to solve problems

MST3.E.PS.03.11 - Make pictures/diagrams of problems

MST3.E.PS.03.12 - Use physical objects to model problems

MST3.E.PS.03.13 - Work in collaboration with others to solve problems

MST3.E.PS.03.14 - Make organized lists to solve numerical problems

MST3.E.PS.03.15 - Make charts to solve numerical problems

MST3.E.PS.03.16 - Analyze problems by identifying relationships

MST3.E.PS.03.17 - Analyze problems by identifying relevant versus irrelevant information

MST3.E.PS.03.18 - Analyze problems by observing patterns

MST3.E.PS.03.19 - State a problem in their own words

MST3.E.PS.03.20 - Determine what information is needed to solve a problem

MST3.E.PS.03.21 - Discuss with peers to understand a problem situation

MST3.E.PS.03.22 - Discuss the efficiency of different representations of a problem

MST3.E.PS.03.23 - Verify results of a problem

MST3.E.PS.03.24 - Recognize invalid approaches

MST3.E.PS.03.25 - Determine whether a solution is reasonable in the context of the original problem

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2. Reasoning & Proof

MST3.E.RP.03.01 - Use representations to support mathematical ideas

MST3.E.RP.03.02 - Determine whether a mathematical statement is true or false and explain why

MST3.E.RP.03.03 - Investigate the use of knowledgeable guessing by generalizing mathematical ideas

MST3.E.RP.03.04 - Make conjectures from a variety of representations

MST3.E.RP.03.05 - Justify general claims or conjectures, using manipulatives, models, and expressions

MST3.E.RP.03.06 - Develop and explain an argument using oral, written, concrete, pictorial, and/or graphical forms

MST3.E.RP.03.07 - Discuss, listen, and make comments that support or reject claims made by other students

MST3.E.RP.03.08 - Support an argument by trying many cases

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3. Communication


MST3.E.CM.03.01 - Understand and explain how to organize their thought process

MST3.E.CM.03.02 - Verbally explain their rationale for strategy selection

MST3.E.CM.03.03 - Provide reasoning both in written and verbal form

MST3.E.CM.03.04 - Organize and accurately label work

MST3.E.CM.03.05 - Use written and verbal form to share organized mathematical ideas through the manipulation of objects, drawings, pictures, charts, graphs, tables, diagrams, models, symbols and expressions

MST3.E.CM.03.06 - Answer clarifying questions from others

MST3.E.CM.03.07 - Listen for understanding of mathematical solutions shared by other students

MST3.E.CM.03.08 - Consider strategies used and solutions found in relation to their own work

MST3.E.CM.03.09 - Increase their use of mathematical vocabulary and language when communicating with others

MST3.E.CM.03.10 - Describe objects, relationships, solutions and rationale using appropriate vocabulary

MST3.E.CM.03.11 - Decode and comprehend mathematical visuals and symbols to construct meaning

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4. Connections
MST3.E.CN.03.01 - Recognize, understand, and make connections in their everyday experiences to mathematical ideas

MST3.E.CN.03.02 - Compare and contrast mathematical ideas

MST3.E.CN.03.03 - Connect and apply mathematical information to solve problems

MST3.E.CN.03.04 - Understand multiple representations and how they are related

MST3.E.CN.03.05 - Model situations with objects and representations and be able to make observations

MST3.E.CN.03.06 - Recognize the presence of mathematics in their daily lives

MST3.E.CN.03.07 - Apply mathematics to solve problems that develop outside of mathematics

MST3.E.CN.03.08 - Recognize and apply mathematics to other disciplines
 

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5. Representation

MST3.E.R.03.01 - Use verbal and written language, physical models, drawing charts, graphs, tables, symbols, and equations as representations

MST3.E.R.03.02 - Share mental images of mathematical ideas and understandings

MST3.E.R.03.03 - Recognize and use external mathematical representations

MST3.E.R.03.04 - Use standard and nonstandard representations with accuracy and detail

MST3.E.R.03.05 - Understand similarities and differences in representations

MST3.E.R.03.06 - Connect mathematical representations with problem solving

MST3.E.R.03.07 - Construct effective representations to solve problems

MST3.E.R.03.08 - Use mathematics to show and understand physical phenomena (e.g., estimate and represent the number of apples in a tree)

MST3.E.R.03.09 - Use mathematics to show and understand social phenomena (e.g., determine the number of buses required for a field trip)

MST3.E.R.03.10 - Use mathematics to show and understand mathematical phenomena (e.g., use a multiplication grid to solve odd and even number problems)

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1. Number Sense and Operations

Number Systems

MST3.E.N.03.01 - Skip count by 25s, 50s, 100s to 1,000 (number systems)

MST3.E.N.03.02 - Read and write whole numbers to 1,000 (number systems)

MST3.E.N.03.03 - Compare and order numbers to 1,000 (number systems)

MST3.E.N.03.04 - Understand the place value structure of the base ten number system: 10 ones = 1 ten, 10 tens = 1 hundred, 10 hundreds = 1 thousand (number systems)

MST3.E.N.03.05 - Use a variety of strategies to compose and decompose three-digit numbers (number systems)

MST3.E.N.03.06A - Use and explain the commutative property of addition (number systems)

MST3.E.N.03.06B - Use and explain the commutative property of multiplication (number systems)

MST3.E.N.03.07 - Use 1 as the identity element for multiplication (number systems)

MST3.E.N.03.08 - Use the zero property of multiplication (number systems)

MST3.E.N.03.09 - Understand and use the associative property of addition (number systems)

MST3.E.N.03.10 - Understand fractions are part of a whole unit and as parts of a collection (number systems)

MST3.E.N.03.11 - Use manipulatives, visual models, and illustrations to name and represent unit fractions 1/2, 1/3, 1/4, 1/5, 1/6 and 1/10 as part of a whole or a set of objects (number systems)

MST3.E.N.03.12 - Understand and recognize the meaning of numerator and denominator in the symbolic form of a fraction (number systems)

MST3.E.N.03.13 - Recognize fractional numbers as equal parts of a whole (number systems)

MST3.E.N.03.14 - Know simple equivalent fractions (1/2, 1/3, 1/4) (number systems)

MST3.E.N.03.15 - Compare and order unit fractions (1/2, 1/3, 1/4) and find their approximate locations on a number line (number systems)


Number Theory

MST3.E.N.03.16 - Identify odd or even numbers (number theory)

MST3.E.N.03.17 - Understand the properties of odd/even numbers as a result of addition or subtraction (number theory)
 

Operations

MST3.E.N.03.18A - Use a variety of strategies to add 3-digit numbers (with and without regrouping) (operations)

MST3.E.N.03.18B - Use a variety of strategies to subtract 3-digit numbers (with and without regrouping) (operations)

MST3.E.N.03.19A - Develop fluency with single-digit multiplication facts (operations)

MST3.E.N.03.19B - Develop fluency with single-digit multiplication facts above 5 x 10 (operations)

MST3.E.N.03.20 - Use a variety of strategies to solve multiplication problems with factors up to 12 x 12 (operations)

MST3.E.N.03.21 - Use the area model, tables, patterns, arrays, and doubling to provide meaning for multiplication (operations)

MST3.E.N.03.22A - Demonstrate fluency and apply single-digit division facts (operations)

MST3.E.N.03.22B - Demonstrate fluency and apply single-digit division facts above 50 divided by 10 (operations)

MST3.E.N.03.23 - Use tables, patterns, halving, and manipulatives to provide meaning for division (operations)

MST3.E.N.03.24 - Use strategies for selecting the appropriate computational and operational method in problem solving situations (operations)

 

Estimation

MST3.E.N.03.25A - Estimate numbers up to 200(estimation)

MST3.E.N.03.25B - Estimate numbers up to 500 (for numbers past 200) (estimation)

MST3.E.N.03.26 - Recognize real world situations in which an estimate (rounding) is more appropriate (estimation)

MST3.E.N.03.27 - Check reasonableness of an answer by using estimation (estimation)

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2. Algebra

Equations and inequalities

MST3.E.A.03.01A - Use the symbols <, >, = (with and without the use of a number line) to compare whole numbers (equations and inequalities)

MST3.E.A.03.01B - Use the symbols <, >, = with unit fractions 1/2, 1/3, 1/4, 1/5, 1/6 and 1/10 (equations and inequalities)



Patterns, functions, and Relations

MST3.E.A.03.02 - Describe and extend numeric(+, -) and geometric patterns (patterns, functions, and relations)

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3. Geometry

Shapes

MST3.E.G.03.01 - Define and use correct terminology when referring to shapes (circle, triangle, square, rectangle, rhombus, trapezoid, and hexagon) (shapes)

MST3.E.G.03.02 - Identify congruent and similar figures (shapes)

MST3.E.G.03.03 - Name, describe, compare, and sort three-dimensional shapes: cube, cylinder, sphere, prism, and cone (shapes)

MST3.E.G.03.04 - Identify the faces on a three-dimensional shape as two-dimensional shapes (shapes)

 

Transformational Geometry

MST3.E.G.03.05 - Identify and construct lines of symmetry (transformational geometry)

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4. Measurement

Units of Measurement

MST3.E.M.03.01 - Select tools and units (customary) appropriate for the length measured (units of measurement)

MST3.E.M.03.02 - Use a ruler/yardstick to measure to the nearest standard unit (whole and inches, whole feet, and whole yards) (units of measurement)

MST3.E.M.03.03 - Measure objects, using ounces and pounds (units of measurement)

MST3.E.M.03.04 - Recognize capacity as an attribute that can be measured (units of measurement)

MST3.E.M.03.05 - Compare capacities (e.g., Which contains more? Which contains less?) (units of measurement)

MST3.E.M.03.06 - Measure capacity, using cups, pints, quarts, and gallons (units of measurement)
 

Units

MST3.E.M.03.07 - Count and represent combined coins and dollars, using currency symbols ($0.00) (units)

MST3.E.M.03.08 - Relate unit fractions to the face of the clock: Whole = 60 minutes = 30 minutes = 15 minutes (units)

 

Estimation

MST3.E.M.03.09 - Tell time to the minute, using both digital and analog clocks (estimation)

MST3.E.M.03.10 - Select and use standard (customary) and non-standard units to estimate measurements (estimation)

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5. Statistics and Probability

Collection of Data

MST3.E.S.03.01 - Formulate questions about themselves and their surroundings (collection of data)

MST3.E.S.03.02 - Collect data using observations and surveys, and record appropriately (collection of data)

 

Organization and Display of Data

MST3.E.S.03.03 - Construct a frequency table to represent a collection of data (organization and display of data)

MST3.E.S.03.04 - Identify the parts of pictographs and bar graphs (organization and display of data)

MST3.E.S.03.05 - Display data in pictographs and bar graphs (organization and display of data)

MST3.E.S.03.06 - State the relationships between pictographs and bar graphs (organization and display of data)

 

Analysis of Data

MST3.E.S.03.07 - Read and interpret data in bar graphs and pictographs (analysis of data)

 

Predictions from Data

MST3.E.S.03.08 - Formulate conclusions and make predictions from graphs (predictions of data) 

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