Algebra 1 Standards

Standard	Relationship to course textbook	Related Class Activity	ESLRs
1.0 Students identify and use the arithmetic properties of subsets of integers and rational, irrational, and real numbers, including closure properties for the four basic arithmetic operations where applicable.	2.1-2.7
1.1 Students use properties of numbers to demonstrate whether assertions are true or false.	2.1-2.7
2.0 Students understand and use such operations as taking the opposite, finding the reciprocal, taking a root, and raising to a fractional power. They understand and use the rules of exponents.	2.1, 2.7, 8.1-8.3, 9.1-9.2
3.0 Students solve equations and inequalities involving absolute values.	6.4
4.0 Students simplify expressions before solving linear equations and inequalities in one variable, such as 3(2x+5)+4(x-2)=12.	3.3-3.4,6.2
5.0 Students solve multistep problems, including word problems, involving linear equations and linear inequalities in one variable and provide justification for each step.	3.3-3.5, 6.2
6.0 Students graph a linear equation and compute the x- and y-intercepts. They are also able to sketch the region defined by a linear inequality.	4.2-4.3, 4.6, 6.5
7.0 Students verify that a point lies on a line, given the equation of the line. Students are able to derive linear equations using the point-slope formula.	4.2, 5.5
8.0 Students understand the concepts of parallel lines and perpendicular lines and how those slopes are related. Students are able to find the equation of a line perpendicular to a given line that passes through a given point.	4.6, 5.2-5.3
9.0 Students solve a system of two linear equations in two variables algebraically and are able to interpret the answer graphically. Students are able to solve a system of two linear inequalities in tow variables and to sketch the solution sets.	7.1-7.6
10.0 Students add, subtract, multiply, and divide monomials and polynomials. Students solve multistep problems, including word problems, by using these techniques.	10.1-10.3, 11.7
11.0 Students apply basic factoring techniques to second- and simple third-degree polynomials. These techniques include finding common factor for all terms in a polynomial, recognizing the difference of two squares, and recognizing perfect squares of binomials.	10.5-10.8
12.0 Students simplify fractions with polynomials in the numerator and denominator by factoring both and reducing them to the lowest terms.	11.4
13.0 Students add, subtract, multiply, and divide rational expressions and functions. Students solve both computationally and conceptually challenging problems by using these techniques.	11.5-11.8
14.0 Students solve a quadratic equation by factoring or completing the square.	10.5-10.8
15.0 Students apply algebraic techniques to solve rate problems, work problems, and percent mixture problems.	3.8, 7.4, 11.8