Grade 8 – Performance Indicators

Number Sense & Operations

8.PS.1 Use a variety of strategies to understand new mathematical content and to develop more efficient methods

8.N.1   Develop and apply the laws of exponents for multiplication and

Division

8.PS.2Construct appropriate extensions to problem situations

8.N.2    Evaluate expressions with integral exponents

8.PS.3Understand and demonstrate how written symbols represent mathematical ideas

8.N.3    Read, write, and identify percents less than 1% and greater than 100%

8.PS.4Observe patterns and formulate generalizations

8.N.4    Apply percents to: 

            Tax                              Gratuities

            Percent                       increase/decrease

            Simple interest            Sale price

            Commission               Interest rates

8.PS.5Make conjectures from generalizations

8.N.5    Estimate a percent of quantity, given an application

8.PS.6Representproblem situations verbally, numerically, algebraically, and graphically

8.N.6    Justify the reasonableness of answers using estimation

8.PS.7Understand that there is no one right way to

solve mathematical problems but that different methods have advantages and disadvantages

Algebra

8.PS.8Understand how to break a complex problem into simpler parts or use a similar problem type to solve a problem

8.A.1    Translate verbal sentences into algebraic inequalities

8.PS.9Work backwards from a solution

8.A.2    Write verbal expressions that match given mathematical expressions

8.PS.10 Use proportionality to model problems

8.A.3    Describe a situation involving relationships that matches a given graph

8.PS.11 Work in collaboration with others to solve problems

8.A.4    Create a graph given a description or an expression for a situation involving a linear or nonlinear relationship

8.PS.12 Interpret solutions within the given constraints of a problem

8.A.5    Use physical models to perform operations with polynomials

8.PS.13 Set expectations and limits for possible solutions

8.A.6    Multiply and divide monomials

8.PS.14 Determine information required to solve the problem

8.A.7    Add and subtract polynomials (integer coefficients)

8.PS.15 Choose methods for obtaining required information

8.A.8    Multiply a binomial by a monomial or a binomial (integer coefficients)

8.PS.16 Justify solution methods through logical argument

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.

8.PS.17 Evaluate the efficiency of different representations of a problem

8.A.10 Factor algebraic expressions using the GCF (greatest common factor)

Geometry

8.A.11 Factor a trinomial in the form ax² + bx + c; a=1 and c having no more than three sets of factors

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

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

8.G.1  Identify pairs of vertical angles as congruent

8.A.13 Solve multi-step inequalities and graph the solution set on a number line

8.G.2   Identify pairs of supplementary and complementary angles

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) 

8.G.3   Calculate the missing angle in a supplementary or complementary pair

8.A.15 Understand that numerical information can be represented in multiple ways: arithmetically, algebraically, and graphically

8.G.4   Determine angle pair relationships when given two parallel lines cut by a transversal

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.G.5   Calculate the missing angle measurements when given two parallel lines cut by a transversal

8.A.17 Define and use correct terminology when referring to function (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

Grade 8 – Content Strands

Measurement

8.G.6   Calculate the missing angle measurements when given two intersecting lines and an angle

8.M.1 Solve equations/proportions to convert to equivalent measurements within metric and customary measurement systems Note: Also Fahrenheit to Celsius and vice versa

8.G.7   Describe and identify transformations in the plane, using proper function notation (rotations, reflections, translations, and dilations)

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.10Draw the image of a figure under a translation

8.G.11Draw the image of a figure under a dilation

8.G.12Identify the properties preserved and not preserved under a reflection, rotation, translation, and dilation

8.G.13Determine the slope of a line from a graph and explain the meaning of slope as a constant rate of change

8.G.14Determine the y-intercept of a line from a graph and be able to explain the y-intercept

8.G.15Graph a line using a table of values

8.G.16Determine the equation of a line given the slope and the y-intercept

8.G.17Graph a line from an equation in slope-intercept form ()

8.G.18Solve systems of equations graphically (only linear, integral solutions,  format, no vertical/horizontal lines)

8.G.19Graph the solution set of an inequality on a number line 

8.G.20 Distinguish between linear and nonlinear equations ax² + bx + c; a=1 (only graphically) 

8.G.21Recognize the characteristics of quadratics in tables, graphs, equations, and situations