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 two-step 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 two-step verbal sentences into algebraic equations (equations and inequalities)

MST3.I.A.06.04 - Solve and explain simple two-step 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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