Mathematic Standards

Eighth Grade

Tools of Algebra

·        Model relationships with variables

·        Model relationships with equations and formulas

·        Simplify and evaluate expressions and formulas

·        Compare and classify numbers

·        Add real numbers using models and rules

·        To subtract real numbers

·        To multiply and divide real numbers

·        To use the Distributive Property

·        To simplify algebraic expressions

·        To use deductive reasoning

·        To analyze data using scatter plots

·        To analyze data using scatter plots.

Solving Equations

·        To solve equations using addition and subtraction

·        To solve equations using multiplication and division

·        To solve two-step equations

·        To use deductive reasoning

·        To use the Distributive Property when combining like terms.

·        To solve equations with variables on both sides.

·        To identify equations that are identities or have no solution

·        To define a variable in terms of another variable

·        To model distance-rate-time problems.

·        To transform literal equations

·        To find mean, median and mode

·        To make and use stem-and-leaf plots

Solving Inequalities

·        To identify solutions of inequalities

·        To graph and write inequalities

·        To use multiplication to solve inequalities

·        To use division to solve inequalities

·        To solve multi-step inequalities with variables on one side

·        To solve multi-step inequalities with variables on both sides

·        To solve and graph inequalities

·        To solve equations that involve absolute value

·        To solve inequalities that involve absolute value

Solving and Applying Proportions

·        To find ratios and rates and to solve proportions

·        To find missing measures of similar figures

·        To use similar figures when measuring indirectly

·        To use proportions when solving percent problems

·        To write and solve percent equations

·        To find percent of change

·        To find theoretical and experimental probability

·        To find the probability of independent events

·        To find the probability of dependent events

Graphs and Functions

·        To interpret, sketch, and analyze graphs

·        To identify and evaluate relations and functions

·        To model functions using rules, tables, and graphs

·        To write a function rule given a table or a real-world situation

·        To write an equation of a direct variation

·        To use ratios and proportions with direct variations

·        To use inductive reasoning in continuing number patters

·        To write rules for arithmetic sequences

Linear Equations and Their Graphs

·        To find rates of change from tables and graphs

·        To find slope

·        To write equations in slope-intercept form

·        To graph linear equations

·        To graph equations using intercepts

·        To write equations in standard form

·        To graph and write linear equations using point-slope form

·        To write a linear equation using data

·        To determine whether lines are parallel

·        To determine whether lines are perpendicular

·        To write an equation for a trend line and use it to make predictions

·        To write the equation for a line of best fit and use it to make predictions

·        To translate the graph of an absolute value equation

Systems of Equations and Inequalities

·        To solve systems by graphing

·        To analyze special types of systems

·        To solve systems using substitution

·        To solve systems by adding or subtracting

·        To multiply first when solving systems

·        To write systems of linear equations

·        To write systems of linear equations

·        To graph linear inequalities

·        To write and use linear inequalities

·        To solve systems of linear inequalities by graphing

·        To model real-world situations using systems of linear inequalities

Zero and Negative Exponents

·        To simplify expressions with zero and negative exponents

·        To evaluate exponential expressions

·        To write numbers in scientific and standard notation

·        To use scientific notation

·        To multiply powers and to work with scientific notation

·        To raise a power to a power and to raise a product to a power

·        To divide powers with the same base

·        To raise a quotient to a power

·        To form geometric sequences

·        To use formulas when describing geometric sequences

·        To evaluate and graph exponential functions

Polynomials and Factoring

·        To add, subtract and describe polynomials

·        To multiply a polynomial by a monomial

·        To factor a monomial from a polynomial

·        To multiply binomials using FOIL

·        To multiply trinomials by binomials

·        To find the square of a binomial

·        To find the difference of squares

·        To factor trinomials

·        To factor perfect-square trinomials

·        To factor the difference of squares

·        To factor polynomials with four terms

·        To factor trinomials by grouping

Quadratic Equations and Functions

·        Graphing quadratic functions of the form y=ax2

·        Graphing quadratic functions of the form y=ax2+c

·        To graph quadratic functions of the form y=ax2+bx+c

·        To graph quadratic inequalities

·        To estimate and find square roots

·        To solve quadratic equations by graphing

·        To solve quadratic equations using square roots

·        To solve quadratic equations by factoring

·        To solve quadratic equations by completing the square

·        To use the quadratic formula when solving quadratic equations

·        To choose an appropriate method for solving a quadratic equation

·        To find the number of solutions of a quadratic equation

·        To choose a linear quadratic, or exponential model for data

Radical Expression and Equations

·        To simplify radicals involving products

·        To simplify radicals involving quotients

·        To solve problems using the Pythagorean Theorem

·        To identify right triangles

·        To find the distance between two points on a coordinate plane

·        To find the coordinates of the midpoint of a line segment

·        To simplify sums and differences

·        To simplify products and quotients

·        To solve equations containing radicals

·        To identify extraneous solutions

·        To graph square root functions

·        To translate graphs of square root functions

·        To find trigonometric ratios

·        To solve problems using trigonometric ratios

 Rational Expressions and Functions

·        To solve inverse variations

·        To compare direct and inverse variation

·        To graph rational functions

·        To identify types of functions

·        To simplify rational expressions

·        To multiply rational expressions

·        To divide rational expressions

·        To divide polynomials

·        To add and subtract rational expressions with like denominators

·        To add and subtract rational expressions with unlike denominators

·        To solve rational equations

·        To solve proportions

·        To use the multiplication counting principle

·        To find permutations

·        To find combinations

·        To find probability with  counting techniques