1. Problem Solving

MST3.E.PS.04.01 - Explore, examine, and make observations about a social problem or mathematical situation

MST3.E.PS.04.02 - Understand that some ways of representing a problem are more helpful than others

MST3.E.PS.04.03 - Interpret information correctly, identify the problem, and generate possible solutions

MST3.E.PS.04.04 - Act out or model with manipulatives activities involving mathematical content from literature

MST3.E.PS.04.05 - Formulate problems and solutions from everyday situations

MST3.E.PS.04.06 - Translate from a picture/diagram to a numeric expression

MST3.E.PS.04.07 - Represent problem situations in oral, written, concrete, pictorial, and graphical forms

MST3.E.PS.04.08 - Select an appropriate representation of a problem

MST3.E.PS.04.09 - Use trial and error to solve problems

MST3.E.PS.04.10 - Use process of elimination to solve problem

MST3.E.PS.04.11 - Make pictures/diagrams of problems

MST3.E.PS.04.12 - Use physical objects to model problems

MST3.E.PS.04.13 - Work in collaboration with others to solve problems

MST3.E.PS.04.14 - Make organized lists to solve numerical problems

MST3.E.PS.04.15 - Make charts to solve numerical problems

MST3.E.PS.04.16 - Analyze problems by identifying relationships

MST3.E.PS.04.17 - Analyze problems by identifying relevant versus irrelevant information

MST3.E.PS.04.18 - Analyze problems by observing patterns

MST3.E.PS.04.19 - State a problem in their own words

MST3.E.PS.04.20 - Determine what information is needed to solve a problem

MST3.E.PS.04.21 - Discuss with peers to understand a problem situation

MST3.E.PS.04.22 - Discuss the efficiency of different representations of a problem

MST3.E.PS.04.23 - Verify results of a problem

MST3.E.PS.04.24 - Recognize invalid approaches

MST3.E.PS.04.25 - Determine whether a solution is reasonable in the context of the original problem

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2. Reasoning & Proof


MST3.E.RP.04.01 - Use representations to support mathematical ideas

MST3.E.RP.04.02 - Determine whether a mathematical statement is true or false and explain why

MST3.E.RP.04.03 - Investigate the use of knowledgeable guessing by generalizing mathematical ideas

MST3.E.RP.04.04 - Make conjecture from a variety of representations

MST3.E.RP.04.05 - Justify general claims or conjectures, using manipulatives, models, and expressions

MST3.E.RP.04.06 - Develop and explain an argument using oral, written, concrete, pictorial, and/or graphical forms

MST3.E.RP.04.07 - Discuss, listen, and make comments that support or reject claims made by other students

MST3.E.RP.04.08 - Support an argument by trying many cases

MST3.E.RP.04.09 - Disprove an argument by finding counter examples

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3. Communication


MST3.E.CM.04.01 - Understand and explain how to organize their thought process

MST3.E.CM.04.02 - Verbally explain their rationale for strategy selection

MST3.E.CM.04.03 - Provide reasoning both in written and verbal form

MST3.E.CM.04.04 - Organize and accurately label work

MST3.E.CM.04.05 - Share organized mathematical ideas through the manipulation of objects, drawings, pictures, charts, graphs, tables, diagrams, models, symbols and expressions in written and verbal form

MST3.E.CM.04.06 - Answer clarifying questions from others

MST3.E.CM.04.07 - Restate mathematical solutions shared by other students

MST3.E.CM.04.08 - Consider strategies used and solutions found in relation to their own work

MST3.E.CM.04.09 - Increase their use of mathematical vocabulary and language when communicating with others

MST3.E.CM.04.10 - Describe objects, relationships, solutions and rationale using appropriate vocabulary

MST3.E.CM.04.11 - Decode and comprehend mathematical visuals and symbols to construct meaning

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4. Connections

MST3.E.CN.04.01 - Recognize, understand, and make connections in their everyday experiences to mathematical ideas

MST3.E.CN.04.02 - Compare and contrast mathematical ideas

MST3.E.CN.04.03 - Connect and apply mathematical information to solve problems

MST3.E.CN.04.04 - Understand multiple representations and how they are related

MST3.E.CN.04.05 - Model situations with objects and representations and be able to make observations

MST3.E.CN.04.06 - Recognize the presence of mathematics in their daily lives

MST3.E.CN.04.07 - Apply mathematics to solve problems that develop outside of mathematics

MST3.E.CN.04.08 - Recognize and apply mathematics to other disciplines
 

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5. Representation

MST3.E.R.04.01 - Use verbal and written language, physical models, drawing charts, graphs, tables, symbols, and equations as representations

MST3.E.R.04.02 - Share mental images of mathematical ideas and understandings

MST3.E.R.04.03 - Recognize and use external mathematical representations

MST3.E.R.04.04 - Use standard and nonstandard representations with accuracy and detail

MST3.E.R.04.05 - Understand similarities and differences in representations

MST3.E.R.04.06 - Connect mathematical representations with problem solving

MST3.E.R.04.07 - Construct effective representations to solve problems

MST3.E.R.04.08 - Use mathematics to show and understand physical phenomena (e.g., estimate and represent the number of apples in a tree)

MST3.E.R.04.09 - Use mathematics to show and understand social phenomena (e.g., determine the number of buses required for a field trip)

MST3.E.R.04.10 - 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.04.01 - Skip count by 1000`s (number systems)

MST3.E.N.04.02 - Read and write whole numbers to 10,000 (number systems)

MST3.E.N.04.03 - Compare and order numbers to 10,000 (number systems)

MST3.E.N.04.04 - 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 (number systems)

MST3.E.N.04.05 - Recognize equivalent representations for numbers up to four digits and generate them by decomposing and composing numbers (number systems)

MST3.E.N.04.06 - Understand, use, and explain the associative property of multiplication (number systems)

MST3.E.N.04.07 - Understand fractions are locations on number lines and fractions are also divisions of whole numbers (number systems)

MST3.E.N.04.08 - Recognize and generate equivalent fractions (halves, fourths, thirds, fifths, sixths, and tenths) using manipulatives, visuals models, and illustrations (number systems)

MST3.E.N.04.09 - Use concrete materials and visual models to compare and order unit fractions or fractions with the same denominator (with and without the use of the number line) (number systems)

MST3.E.N.04.10 - Understand decimals are part of a whole (number systems)

MST3.E.N.04.11 - Read and write decimals to hundredths, using money as a context (number systems)

MST3.E.N.04.12 - Use concrete materials and visual models to compare and order decimals (less than 1) to the hundredths place in the context of money (number systems)

 

Number Theory

MST3.E.N.04.13 - Understand the properties of odd/even numbers as a result of multiplication (number theory)

 

Operations

MST3.E.N.04.14 - Use a variety of strategies to add and subtract numbers up to 10,000 (operations)

MST3.E.N.04.15 - Select appropriate computational and operational methods to solve problems (operations)

MST3.E.N.04.16A - Understand various meanings of multiplication (operations)

MST3.E.N.04.16B - Understand various meanings of division (operations)

MST3.E.N.04.17 - Use multiplication and division as inverse operations to solve problems (operations)

MST3.E.N.04.18 - Use a variety of strategies to multiply two-digit numbers by one-digit numbers (with and without regrouping) (operations)

MST3.E.N.04.19 - Use a variety of strategies to multiply two-digit numbers by two-digit numbers (with and without regrouping) (operations)

MST3.E.N.04.20A - Develop fluency in multiplying multiples of 10 and 100 up to 1,000 (operations)

MST3.E.N.04.20B - Develop fluency in dividing multiples of 10 and 100 up to 1,000 (operations)

MST3.E.N.04.21 - Use a variety of strategies to divide two-digit dividends by one-digit divisors (with and without remainders) (operations)

MST3.E.N.04.22 - Interpret the meaning of remainders (operations)

MST3.E.N.04.23 - Add and subtract proper fractions with common denominators (operations)

MST3.E.N.04.24 - Express decimals as an equivalent form of fractions to tenths and hundredths (operations)

MST3.E.N.04.25 - Add and subtract decimals to tenths and hundredths using a hundreds chart (operations)

 

Estimations

MST3.E.N.04.26 - Round numbers less than 1,000 to the nearest tens and hundreds (estimation)

MST3.E.N.04.27 - Check reasonableness of an answer by using estimation (estimation)

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2. Algebra

Variables and Expressions

MST3.E.A.04.01 - Evaluate and express relationships using open sentences with one operation (variables and expressions)



Equalities and Inequalities

MST3.E.A.04.02A - Use the symbols <, >, = and not equal to (with and without the use of a number line) to compare whole numbers (equations and inequalities)

MST3.E.A.04.02B - Use the symbols <, >, = and not equal to (with and without the use of a number line) to compare whole numbers and unit fractions and decimals (up to hundredths) (equalities and inequalities)

MST3.E.A.04.03 - Find the value or values that will make an open sentence true, if it contains < or > (equations and inequalities)

 

Patterns, Functions, and Relations

MST3.E.A.04.04 - Describe and extend and make generalizations about numeric (+, -, x, ÷ ) and geometric patterns (patterns, functions, and relationships)

MST3.E.A.04.05 - Analyze a pattern or whole-number function and state the rule, given a table or an input/output box (paterns, functions, and relationships)

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3. Geometry

Shapes

MST3.E.G.04.01 - Identify and name polygons, recognizing that their names are related to the number of sides and angles (triangle, quadrilateral, pentagon, hexagon, and octagon) (shapes)

MST3.E.G.04.02 - Identify points and line segments when drawing a plane figure (shapes)

MST3.E.G.04.03 - Find perimeter of polygons by adding sides (shapes)

MST3.E.G.04.04 - Find the area of a rectangle by counting the number of squares needed to cover the rectangle (shapes)

MST3.E.G.04.05 - Define and identify vertices, faces, and edges of three-dimensional shapes (shapes)

 

Geometric Relationships

MST3.E.G.04.06 - Draw and identify intersecting, perpendicular, and parallel lines (geometric relationships)

MST3.E.G.04.07 - Identify points and rays when drawing angles (geometric relationships)

MST3.E.G.04.08 - Classify angles as acute, obtuse, right, and straight (geometric relationships)

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4. Measurement

Units of Measurement

MST3.E.M.04.01 - Select tools and units (customary and metric) appropriate length being measured (units of measurement)

MST3.E.M.04.02 - Use a ruler to measure to the nearest standard unit (whole, ½ and ¼ inches, whole feet, whole yards, whole centimeters, and whole meters) (units of measurement)

MST3.E.M.04.03 - Know and understand equivalent standard units of length: 12 inches = 1 foot, 3 feet = 1 yard (units of measurement)

MST3.E.M.04.04 - Select tools and units appropriate to the object being weighed (grams and kilograms) (units of measurement)

MST3.E.M.04.05 - Measure mass, using grams (units of measurement)

MST3.E.M.04.06 - Select tools and units appropriate to the capacity being measured (milliliters and liters (units of measurement)

MST3.E.M.04.07 - Measure capacity, using milliliters and liters (units of measurement)

 

Units

MST3.E.M.04.08 - Make change, using combined coins and dollar amounts (units)

MST3.E.M.04.09 - Calculate elapsed time in hours and half hours, not crossing A.M./P.M (units)

MST3.E.M.04.10 - Calculate elapsed time in days and weeks, using a calendar (units)

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5. Statistics and Probability

Correlation of Data

MST3.E.S.04.01 - Design investigations to address a question from given data (collection of data)

MST3.E.S.04.02 - Collect data using observations, surveys, and experiments and record appropriately (collection of data)

 

Organization and Display of Data

MST3.E.S.04.03 - Represent data using tables, bar graphs, and pictographs (organization and display of data)

 

Analysis of Data

MST3.E.S.04.04 - Read and interpret line graphs (analysis of data)

 

Predictions from Data

MST3.E.S.04.05 - Develop and make predictions that are based on data (predictions from data)

MST3.E.S.04.06 - Formulate conclusions and make predictions from graphs (predictions from data)

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