MST3.I.PS.07.01 - Use a variety of strategies to understand new mathematical content and to develop more efficient methods

MST3.I.PS.07.02 - Construct appropriate extensions to problem situations

MST3.I.PS.07.03 - Understand and demonstrate how written symbols represent mathematical ideas

MST3.I.PS.07.04 - Observe patterns and formulate generalizations

MST3.I.PS.07.05 - Make conjectures from generalizations

MST3.I.PS.07.06 - Represent problem situations verbally, numerically, algebraically, and graphically

MST3.I.PS.07.07 - Understand that there is no one right way to solve mathematical problem but that different methods have advantages and disadvantages

MST3.I.PS.07.08 - Understand how to break a complex problem into simpler parts or use a similar problem type to solve a problem

MST3.I.PS.07.09 - Work backwards from a solution

MST3.I.PS.07.10 - Use proportionality to model problems

MST3.I.PS.07.11 - Work in collaboration with others to solve problems

MST3.I.PS.07.12 - Interpret solutions within the given constraints of a problem

MST3.I.PS.07.13 - Set expectations and limits for possible solutions

MST3.I.PS.07.14 - Determine information required to solve the problem

MST3.I.PS.07.15 - Choose methods for obtaining required information

MST3.I.PS.07.16 - Justify solution methods through logical argument

MST3.I.PS.07.17 - Evaluate the efficiency of different representations of a problem

  Jump To Top

MST3.I.RP.07.01 - Recognize that mathematical ideas can be supported using a variety of strategies

MST3.I.RP.07.02 - Use mathematical strategies to reach a conclusion

MST3.I.RP.07.03 - Evaluate conjectures by distinguishing relevant and irrelevant information to reach a conclusion or make appropriate estimates

MST3.I.RP.07.04 - Provide supportive arguments for conjectures

MST3.I.RP.07.05 - Develop, verify, and explain an argument, using appropriate mathematical ideas and language

MST3.I.RP.07.06 - Support an argument by using a systematic approach to test more than one case

MST3.I.RP.07.07 - Devise ways to verify results or use counterexamples to refute incorrect statements

MST3.I.RP.07.08 - Apply inductive reasoning in making and supporting mathematical conjectures

Jump To Top

MST3.I.CM.07.01 - Provide a correct, complete, coherent, and clear rationale for thought process used in problem solving

MST3.I.CM.07.02 - Provide an organized argument which explains rationale for strategy selection

MST3.I.CM.07.03 - Organize and accurately label work

MST3.I.CM.07.04 - Using 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.07.05 - Answer clarifying questions from others

MST3.I.CM.07.06 - Analyze mathematical solutions shared by other students

MST3.I.CM.07.07 - Compare strategies used and solutions found by others in relation to their own work

MST3.I.CM.07.08 - Formulate mathematical questions that elicit, extend, or challenge strategies, solutions, and/or conjectures of others

MST3.I.CM.07.09 - Increase their use of mathematical vocabulary and language when communicating with others

MST3.I.CM.07.10 - Use appropriate language, representations, and terminology when describing objects, relationships, mathematical solutions, and rationale

MST3.I.CM.07.11 - Draw conclusions about mathematical ideas through decoding, comprehension, and interpretation of mathematical visuals, symbols, and technical writing

Jump To Top

MST3.I.CN.07.01 - Understand and make connections among multiple representations of the same mathematical idea

MST3.I.CN.07.02 - Recognize connections between subsets of mathematical ideas

MST3.I.CN.07.03 - Connect and apply a variety of strategies to solve problems

MST3.I.CN.07.04 - Model situations mathematically, using representations to draw conclusions and formulate new situations

MST3.I.CN.07.05 - Understand how concepts, procedures, and mathematical results in one area of mathematics can be used to solve problems in other areas of mathematics

MST3.I.CN.07.06 - Recognize and provide examples of the presence of mathematics in their daily lives

MST3.I.CN.07.07 - Apply mathematics to solve problems situations that develop outside of mathematics

MST3.I.CN.07.08 - Investigate the presence of mathematics in careers and areas or interest

MST3.I.CN.07.09 - Recognize and apply mathematics to other disciplines and areas of interest and societal issues

Jump To Top

MST3.I.R.07.01 - Use physical objects, drawings, charts, tables, graphs, symbols, equations or objects created using technology as representations

MST3.I.R.07.02 - Explain, describe, and defend mathematical ideas using representations

MST3.I.R.07.03 - Recognize, compare, and use an array of representational forms

MST3.I.R.07.04 - Explain how different representations express the same relationship

MST3.I.R.07.05 - Use standard and nonstandard representations with accuracy and detail

MST3.I.R.07.06 - Use representations to explore problem situations

MST3.I.R.07.07 - Investigate relationships between different representations and their impact on a given problem

MST3.I.R.07.08 - Use representation as a tool for exploring and understanding mathematical ideas

MST3.I.R.07.09 - Use mathematics to show and understand physical phenomena (e.g., make and interpret scale drawings of figures or scale models of objects)

MST3.I.R.07.10 - Use mathematics to show and understand social phenomena (e.g., determine profit from sale of yearbooks)

MST3.I.R.07.11 - Use mathematics to show and understand mathematical phenomena (e.g., use tables graphs, and equations to show a pattern underlying a function)

Jump To Top

Number Systems

MST3.I.N.07.01 - Distinguish between the various subsets of real numbers (counting/natural numbers, whole numbers, integers, rational numbers, irrational numbers)

MST3.I.N.07.02 - Recognize the difference between rational and irrational numbers (e.g., explore different approximations of Pi)

MST3.I.N.07.03 - Place rational and irrational numbers (approximations) on a number line and justify the placement of the numbers

MST3.I.N.07.04 - Develop the laws of exponents for multiplication and division

MST3.I.N.07.05 - Write numbers in scientific notation

MST3.I.N.07.06 - Translate numbers from scientific notation into standard form

MST3.I.N.07.07 - Compare numbers written in scientific notation

 

Number Theory

MST3.I.N.07.08 - Find the common factors and greatest common factor of two or more numbers

MST3.I.N.07.09 - Determine multiples and least common multiple of two or more numbers

MST3.I.N.07.10 - Determine the prime factorization of a given number and write in exponential form

 

Operations

MST3.I.N.07.11 - Simplify expressions using order of operations Note: Expressions may include absolute value and/or integral exponents greater than 0

MST3.I.N.07.12A - Add and subtract integers

MST3.I.N.07.12B - Multiply and divide integers

MST3.I.N.07.13 - Add and subtract two integers (with and without the use of a number line)

MST3.I.N.07.14 - Develop a conceptual understanding of negative and zero exponents with a base of ten and relate to fractions and decimals (e.g., 10 to the negative second power = .01 = 1/100)

MST3.I.N.07.15 - Recognize and state the value of the square root of a perfect square (up to 225)

MST3.I.N.07.16 - Determine the square root of non-perfect squares using a calculator

MST3.I.N.07.17 - Classify irrational numbers as non-repeating/non-terminating decimals

 

Estimation

MST3.I.N.07.18 - Identify the two consecutive integers between which the square root of a non-perfect square whole number less than 225 lies (with and without the use of a number line)

MST3.I.N.07.19 - Justify the reasonableness of answers using estimation

                                                                Jump To Top

Variables and Expressions

MST3.I.A.07.01 - Translate two-step verbal expressions into algebraic expressions

MST3.I.A.07.02 - Add and subtract monomials with exponents of one

MST3.I.A.07.03 - Identify a polynomial as an algebraic expression containing one or more terms

 

Equations and Inequalities

MST3.I.A.07.04 - Solve multi-step equations by combining like terms, using the distributive property, or moving variables to one side of the equation

MST3.I.A.07.05 - Solve one-step inequalities (positive coefficients only) (See G.07.09)

MST3.I.A.07.06 - Evaluate formulas for given input values (surface area, rate, and density problems)

 

Patterns, Relations, and Functions

MST3.I.A.07.07 - Draw the graphic representation of a pattern that can be expressed , as an equation or from table of data

MST3.I.A.07.08 - Create algebraic patterns using charts/tables, graphs, equations, and expressions

MST3.I.A.07.09 - Build a pattern to develop a rule for determining the sum of the interior angles of polygons

MST3.I.A.07.10 - Write an equation to represent a function from a table of values

Jump To Top

Shapes

MST3.I.G.07.01 - Calculate the radius or diameter, given the circumference or area of a circle

MST3.I.G.07.02 - Calculate the volume of prisms and cylinders, using a given formula and a calculator

MST3.I.G.07.03 - Identify the two-dimensional shapes that make up the faces and bases of three-dimensional shapes (prisms, cylinders, cones, and pyramids)

MST3.I.G.07.04 - Determine the surface area of prisms and cylinders, using a calculator and a variety of methods

 

Geometric Relationships

MST3.I.G.07.05 - Identify the right angle, hypotenuse, and legs of a right triangle

MST3.I.G.07.06 - Explore the relationship between the lengths of the three sides of a right triangle (Pythagorean Theorem)

MST3.I.G.07.07 - Find a missing angle when given angles of a quadrilateral

MST3.I.G.07.08 - Use the Pythagorean Theorem to determine the unknown length of a side of a right triangle

MST3.I.G.07.09 - Determine whether a given triangle is a right triangle by applying the Pythagorean Theorem and using a calculator

 

Coordinate Geometry

MST3.I.G.07.10 - Graph the solution set of an inequality (positive coefficients only) on a number line (See A.07.05)
 

                                                                     Jump To Top

Units of Measurement

MST3.I.M.07.01 - Calculate distance using a map scale

MST3.I.M.07.02 - Convert capacities and volumes within a given system

MST3.I.M.07.03 - Identify customary and metric units of mass

MST3.I.M.07.04 - Convert mass within a given system

MST3.I.M.07.05 - Calculate unit price using proportions

MST3.I.M.07.06 - Compare unit prices

MST3.I.M.07.07 - Convert money between different currencies with the use of an exchange rate table and calculator

MST3.I.M.07.08 - Draw central angles in a given circle using a protractor (circle graphs)

 

Tools and Methods

MST3.I.M.07.09 - Determine the tool and technique to measure with an appropriate level of precision: mass

 

Estimation

MST3.I.M.07.10 - Identify the relationships between relative error and magnitude when dealing with large numbers (e.g., money, population)

MST3.I.M.07.11 - Estimate surface area

MST3.I.M.07.12 - Determine personal references for customary /metric units of mass

MST3.I.M.07.13 - Justify the reasonableness of mass of an object

 

  Jump To Top

Collection of Data

MST3.I.S.07.01 - Identify and collect data using a variety of methods

 

Organization and Display of Data

MST3.I.S.07.02 - Display data in a circle graph

MST3.I.S.07.03 - Convert raw data into double bar graphs and double line graphs

 

Analysis of Data

MST3.I.S.07.04 - Calculate the range for a given set of data

MST3.I.S.07.05 - Select the appropriate measure of central tendency

MST3.I.S.07.06 - Read and interpret data represented graphically (pictograph, bar graph, histogram, line graph, double line/bar graphs or circle graph)

 

Predictions from Data

MST3.I.S.07.07 - Identify and explain misleading statistics and graphs

 

Number Systems

MST3.I.S.07.08 - Interpret data to provide the basis for predictions and to establish experimental probabilities

MST3.I.S.07.09 - Determine the validity of sampling methods to predict outcomes

MST3.I.S.07.10 - Predict the outcome of an experiment

MST3.I.S.07.11 - Design and conduct an experiment to test predictions

MST3.I.S.07.12 - Compare actual results to predicted results

Jump To Top