New York Math Standards

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New York Math Standards - 8th Grade

MathScore aligns to the New York Math Standards for 8th Grade. The standards appear below along with the MathScore topics that match. If you click on a topic name, you will see sample problems at varying degrees of difficulty that MathScore generated. When students use our program, the difficulty of the problems will automatically adapt based on individual performance, resulting in not only true differentiated instruction, but a challenging game-like experience.

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Problem Solving

8.PS.1 Use a variety of strategies to understand new mathematical content and to develop more efficient methods
8.PS.2 Construct appropriate extensions to problem situations
8.PS.3 Understand and demonstrate how written symbols represent mathematical ideas (Algebraic Sentences 2 , Algebraic Sentences )
8.PS.4 Observe patterns and formulate generalizations (Function Tables , Function Tables 2 )
8.PS.5 Make conjectures from generalizations
8.PS.6 Represent problem situations verbally, numerically, algebraically, and graphically (Algebraic Sentences 2 , Algebraic Sentences )
8.PS.7 Understand that there is no one right way to solve mathematical problems but that different methods have advantages and disadvantages
8.PS.8 Understand how to break a complex problem into simpler parts or use a similar problem type to solve a problem (Irregular Shape Areas , Perimeter and Area of Composite Figures )
8.PS.9 Work backwards from a solution
8.PS.10 Use proportionality to model problems
8.PS.11 Work in collaboration with others to solve problems
8.PS.12 Interpret solutions within the given constraints of a problem
8.PS.13 Set expectations and limits for possible solutions
8.PS.14 Determine information required to solve the problem
8.PS.15 Choose methods for obtaining required information
8.PS.16 Justify solution methods through logical argument
8.PS.17 Evaluate the efficiency of different representations of a problem

Reasoning and Proof

8.RP.1 Recognize that mathematical ideas can be supported by a variety of strategies
8.RP.2 Use mathematical strategies to reach a conclusion
8.RP.3 Evaluate conjectures by distinguishing relevant from irrelevant information to reach a conclusion or make appropriate estimates
8.RP.4 Provide supportive arguments for conjectures
8.RP.5 Develop, explain, and verify an argument using mathematical ideas and language
8.RP.6 Support an argument by using a systematic approach to test more than one case
8.RP.7 Devise ways to verify results or use counterexamples to refute incorrect statements
8.RP.8 Apply inductive reasoning in making and supporting mathematical conjectures

Communication

8.CM.1 Provide a correct, complete, coherent, and clear rationale for thought process used in problem solving
8.CM.2 Provide an organized argument which explains rationale for strategy selection
8.CM.3 Organize and accurately label work
8.CM.4 Share organized mathematical ideas through the manipulation of objects, numerical tables, drawings, pictures, charts, graphs, tables, diagrams, models and symbols in written and verbal form
8.CM.5 Answer clarifying questions from others
8.CM.6 Analyze mathematical solutions shared by others
8.CM.7 Compare strategies used and solutions found by others in relation to their own work
8.CM.8 Formulate mathematical questions that elicit, extend, or challenge strategies, solutions, and/or conjectures of others
8.CM.9 Increase their use of mathematical vocabulary and language when communicating with others
8.CM.10 Use appropriate language, representations, and terminology when describing objects, relationships, mathematical solutions, and rationale (Identifying Angles )
8.CM.11 Draw conclusions about mathematical ideas through decoding, comprehension, and interpretation of mathematical visuals, symbols, and technical writing

Connections

8.CN.1 Understand and make connections among multiple representations of the same mathematical idea (Phrases to Algebraic Expressions )
8.CN.2 Recognize connections between subsets of mathematical ideas (Triangle Angles 2 )
8.CN.3 Connect and apply a variety of strategies to solve problems
8.CN.4 Model situations mathematically, using representations to draw conclusions and formulate new situations
8.CN.5 Understand how concepts, procedures, and mathematical results in one area of mathematics can be used to solve problems in other areas of mathematics
8.CN.6 Recognize and provide examples of the presence of mathematics in their daily lives (Perimeter and Area Word Problems )
8.CN.7 Apply mathematical ideas to problem situations that develop outside of mathematics (Batting Averages )
8.CN.8 Investigate the presence of mathematics in careers and areas of interest
8.CN.9 Recognize and apply mathematics to other disciplines, areas of interest, and societal issues

Representation

8.R.1 Use physical objects, drawings, charts, tables, graphs, symbols, equations, or objects created using technology as representations
8.R.2 Explain, describe, and defend mathematical ideas using representations
8.R.3 Recognize, compare, and use an array of representational forms
8.R.4 Explain how different representations express the same relationship (Graphs to Linear Equations 2 )
8.R.5 Use standard and non-standard representations with accuracy and detail
8.R.6 Use representations to explore problem situations
8.R.7 Investigate relationships between different representations and their impact on a given problem
8.R.8 Use representation as a tool for exploring and understanding mathematical ideas
8.R.9 Use mathematics to show and understand physical phenomena (e.g., make and interpret scale drawings of figures or scale models of objects)
8.R.10 Use mathematics to show and understand social phenomena (e.g., determine profit from sale of yearbooks)
8.R.11 Use mathematics to show and understand mathematical phenomena (e.g., use tables, graphs, and equations to show a pattern underlying a function) (Function Tables , Function Tables 2 )

Number Sense and Operations

8.N.1 Develop and apply the laws of exponents for multiplication and division (Multiplying and Dividing Exponent Expressions , Exponent Rules For Fractions )
8.N.2 Evaluate expressions with integral exponents (Exponents Of Fractional Bases , Negative Exponents Of Fractional Bases , Multiplying and Dividing Exponent Expressions , Exponent Rules For Fractions )
8.N.3 Read, write, and identify percents less than 1% and greater than 100% (Percentage Change )
8.N.4 Apply percents to:

Tax
Percent increase/decrease
Simple interest
Sale price
Commission
Interest rates
Gratuities

(Percentage Change , Purchases At Stores , Restaurant Bills , Commissions , Simple Interest , Compound Interest )
8.N.5 Estimate a percent of quantity, given an application
8.N.6 Justify the reasonableness of answers using estimation

Algebra

8.A.1 Translate verbal sentences into algebraic inequalities (Algebraic Sentences 2 )
8.A.2 Write verbal expressions that match given mathematical expressions
8.A.3 Describe a situation involving relationships that matches a given graph
8.A.4 Create a graph given a description or an expression for a situation involving a linear or nonlinear relationship
8.A.5 Use physical models to perform operations with polynomials (Requires outside materials )
8.A.6 Multiply and divide monomials (Simplifying Algebraic Expressions 2 )
8.A.7 Add and subtract polynomials (integer coefficients) (Simplifying Algebraic Expressions , Simplifying Algebraic Expressions 2 )
8.A.8 Multiply a binomial by a monomial or a binomial (integer coefficients) (Foil Method )
8.A.9 Divide a polynomial by a monomial (integer coefficients) Note: The degree of the denominator is less than or equal to the degree of the numerator for all variables. (Binomial Fraction Simplification , Polynomial Fraction Simplification )
8.A.10 Factor algebraic expressions using the GCF (Binomial Fraction Simplification )
8.A.11 Factor a trinomial in the form ax²+ bx + c; a=1 and c having no more than three sets of factors (Trinomial Factoring )
8.A.12 Apply algebra to determine the measure of angles formed by or contained in parallel lines cut by a transversal and by intersecting lines (Angle Measurements 2 )
8.A.13 Solve multi-step inequalities and graph the solution set on a number line (Number Line Inequalities )
8.A.14 Solve linear inequalities by combining like terms, using the distributive property, or moving variables to one side of the inequality (include multiplication or division of inequalities by a negative number) (Single Variable Inequalities )
8.A.15 Understand that numerical information can be represented in multiple ways: arithmetically, algebraically, and graphically (Graphs to Linear Equations , Graphs to Linear Equations 2 , Graphs to Linear Inequalities , Nonlinear Functions )
8.A.16 Find a set of ordered pairs to satisfy a given linear numerical pattern (expressed algebraically); then plot the ordered pairs and draw the line
8.A.17 Define and use correct terminology when referring to function (domain and range) (Domain and Range )
8.A.18 Determine if a relation is a function
8.A.19 Interpret multiple representations using equation, table of values, and graph (Graphs to Linear Equations , Graphs to Linear Equations 2 , Graphs to Linear Inequalities , Nonlinear Functions )

Geometry

8.G.0 Construct the following using a straight edge and compass:

Segment congruent to a segment
Angle congruent to an angle Perpendicular bisector
Angle bisector

(Requires outside materials )
8.G.1 Identify pairs of vertical angles as congruent (Angle Measurements )
8.G.2 Identify pairs of supplementary and complementary angles (Angle Measurements )
8.G.3 Calculate the missing angle in a supplementary or complementary pair (Angle Measurements )
8.G.4 Determine angle pair relationships when given two parallel lines cut by a transversal (Identifying Angles )
8.G.5 Calculate the missing angle measurements when given two parallel lines cut by a transversal (Angle Measurements 2 )
8.G.6 Calculate the missing angle measurements when given two intersecting lines and an angle (Angle Measurements 2 )
8.G.7 Describe and identify transformations in the plane, using proper function notation (rotations, reflections, translations, and dilations) (Translations and Reflections )
8.G.8 Draw the image of a figure under rotations of 90 and 180 degrees
8.G.9 Draw the image of a figure under a reflection over a given line
8.G.10 Draw the image of a figure under a translation
8.G.11 Draw the image of a figure under a dilation
8.G.12 Identify the properties preserved and not preserved under a reflection, rotation, translation, and dilation
8.G.13 Determine the slope of a line from a graph and explain the meaning of slope as a constant rate of change (Determining Slope )
8.G.14 Determine the y-intercept of a line from a graph and be able to explain the y-intercept
8.G.15 Graph a line using a table of values
8.G.16 Determine the equation of a line given the slope and the y-intercept (Graphs to Linear Equations )
8.G.17 Graph a line from an equation in slope-intercept form (y=mx+b)
8.G.18 Solve systems of equations graphically (only linear, integral solutions, y=mx+b format, no vertical/horizontal lines)
8.G.19 Graph the solution set of an inequality on a number line (Number Line Inequalities )
8.G.20 Distinguish between linear and nonlinear equations ax² + bx + c; a=1 (only graphically) (Nonlinear Functions )
8.G.21 Recognize the characteristics of quadratics in tables, graphs, equations, and situations

Measurement

8.M.1 Solve equations/proportions to convert to equivalent measurements within metric and customary measurement systems Note: Also allow Fahrenheit to Celsius and vice versa. (Distance Conversion , Time Conversion , Volume Conversion , Weight Conversion , Temperature Conversion , Area and Volume Conversions )

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