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Algebra 1 Essential Standards

Standard 1.1

Description of Skills Examples Resources
I can add, subtract, multiply and divide real numbers using the properties of real numbers and absolute value properties. Study Guide

Standard 2.0

Description of Skills Examples Resources
I can simplify numerical expressions by finding opposities, taking roots, and finding the reciprocal. I also know the exponent rule like:product of power, quotient of powers, power of products, and power of a power. I understand what negative and zero exponents mean and can raise a number to a fractional power. I can simplify radical expressions and rationalize the demonimator of a fraction. Example 1
Example 2
Example 3
Example 4
Study Guide

Standard 4.0

Description of Skills Examples Resources
I can simplify expressions. Example 1
Example 2
Study Guide

Standard 5.0a

Description of Skills Examples Resources
I can solve multi step equations and explain my steps. Study Guide

Standard 5.0b

Description of Skills Examples Resources
I can solve multi step inequalities and understand that the solution is a set of numbers. Example 1

Standard 3.0

Description of Skills Examples Resources
I can solve equations and inequalities involving absolute value. Example 1 Study Guide

Standard 6.0a

Description of Skills Examples Resources
I can graph linear equations and compute x and y interepts. Example 1
Example 2
Example 3
Study Guide

Standard 6.0b

Description of Skills Examples Resources
I can sketch the solution to a linear inequality.

Standard 7.0

Description of Skills Examples Resources
I can prove that a point lies on a line. I can also calculate slope and find the standard, point slope, andslope intercept forms of linear equations. Example 1
Example 2
Study Guide

Standard 8.0

Description of Skills Examples Resources
I understand the concepts of parallel and perpendicular lines. I can find the equation of a line perpendicular to another line. Example 1 Study Guide

Standard 9.0

Description of Skills Examples Resources
I can solve a system of two linear equations by graphing, substitution, or linear combination. Example 1
Example 2
Example 3
Study Guide

Standard 15.0

Description of Skills Examples Resources
I can solve word problems involving rates (d=rt), percent mixture, and work problems. Example 1-Work
Example 2-Mixture
Example 3-Rate
Example 4-Mixture
Example 5-Mixture
Example 6
Study Guide

Standard 21.0

Description of Skills Examples Resources
I can graph quadratic functions and know that their roots are the x intercepts. Example 1 Study Guide

Standard 14.0

Description of Skills Examples Resources
I can solve a quadratic equation by factoring or completing the square. Example 1 Study Guide

Standard 19.0

Description of Skills Examples Resources
I know the quadratic formula and know how it is derived by completing the square. Example 1
Example 2
Study Guide

Standard 20.0

Description of Skills Examples Resources
I can solve quadratic equations by using the quadratic formula. Example 1
Example 2
Example 3
Study Guide

Standard 22.0

Description of Skills Examples Resources
I can I can determine whether a parabola will cross the x axis 0, 1, or 2 times. Example 1 Study Guide

Standard 23.0

Description of Skills Examples Resources
I can use quadratic equations to solve problems involving dropped objects or thrown objects that are affected by gravity. Example 1 Study Guide

Standard 10.0

Description of Skills Examples Resources
I can add, subtract, multiply, and divide polynomials. I can also apply these skills to word problems. Example 1 Study Guide

Standard 11.0

Description of Skills Examples Resources
I can factor polynomials. Example 1
Example 2
Study Guide

Standard 12.0

Description of Skills Examples Resources
I can simplify polynomial fractions by reducing them to lowest terms. Example 1 Study Guide

Standard 13.0

Description of Skills Examples Resources
I can add, subtract, multiply and divide rational expressions. Example 1 Study Guide

Standard 6.0/17.0/18.0

Description of Skills Examples Resources
I can find the doman and range of a graph, set of ordered pairs or symbolic expression. I recognize that the domain is made up of x values (also known as inputs or independent values) and the range is made up of y values (also known as outputs or dependent values). Example 1 Study Guide