legend
CAHSEE
STAR(CST) Test
Example
Introduction
Resource
Linked
California Academic Content Standards
Use the links below to find resources that support standards adopted by the California State Board of Education
for English-language arts, mathematics, history-social science, science, and visual and performing arts.
The resource symbol indicates that there are resources matched to the grade, strand, concept, or standard.
Select a subject below to begin.
legend
CAHSEE
STAR(CST) Test
Example
Introduction
Resource
Linked
California Academic Content Standards
164
1507
9317




Strand Algebra I
12
65
217



- Symbolic reasoning and calculations with symbols are central in algebra. Through the study of algebra, a student develops an understanding of the symbolic language of mathematics and the sciences. In addition, algebraic skills and concepts are developed and used in a wide variety of problem-solving situations.
- Substrand 1.0Students 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:
1
7
- Substrand 2.0Students 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.
1
1
22
- Substrand 3.0Students solve equations and inequalities involving absolute values.
1
1
9
- Substrand 4.0Students simplify expressions before solving linear equations and inequalities in one variable, such as 3(2x-5) + 4(x-2) = 12.
2
1
19
- Substrand 5.0Students solve multistep problems, including word problems, involving linear equations and linear inequalities in one variable and provide justification for each step.
1
1
40
- Substrand 6.0Students graph a linear equation and compute the x- and y-intercepts (e.g., graph 2x + 6y = 4). They are also able to sketch the region defined by linear inequality (e.g., they sketch the region defined by 2x + 6y < 4).
2
1
59
- Substrand 7.0Students verify that a point lies on a line, given an equation of the line. Students are able to derive linear equations by using the point-slope formula.
1
1
23
- Substrand 8.0Students 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.
1
1
17
- Substrand 9.0Students 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 two variables and to sketch the solution sets.
1
1
32
- Substrand 10.0Students add, subtract, multiply, and divide monomials and polynomials. Students solve multistep problems, including word problems, by using these techniques.
1
1
11
- Substrand 11.0Students apply basic factoring techniques to second- and simple third-degree polynomials. These techniques include finding a common factor for all terms in a polynomial, recognizing the difference of two squares, and recognizing perfect squares of binomials.
1
11
- Substrand 12.0Students simplify fractions with polynomials in the numerator and denominator by factoring both and reducing them to the lowest terms.
1
8
- Substrand 13.0Students add, subtract, multiply, and divide rational expressions and functions. Students solve both computationally and conceptually challenging problems by using these techniques.
1
6
- Substrand 14.0Students solve a quadratic equation by factoring or completing the square.
1
6
- Substrand 15.0Students apply algebraic techniques to solve rate problems, work problems, and percent mixture problems.
1
1
28
- Substrand 16.0Students understand the concepts of a relation and a function, determine whether a given relation defines a function, and give pertinent information about given relations and functions.
1
14
- Substrand 17.0Students determine the domain of independent variables and the range of dependent variables defined by a graph, a set of ordered pairs, or a symbolic expression.
1
7
- Substrand 18.0Students determine whether a relation defined by a graph, a set of ordered pairs, or a symbolic expression is a function and justify the conclusion.
1
10
- Substrand 19.0Students know the quadratic formula and are familiar with its proof by completing the square.
1
3
- Substrand 20.0Students use the quadratic formula to find the roots of a seconddegree polynomial and to solve quadratic equations.
1
6
- Substrand 21.0Students graph quadratic functions and know that their roots are the x-intercepts.
1
28
- Substrand 22.0Students use the quadratic formula or factoring techniques or both to determine whether the graph of a quadratic function will intersect the x-axis in zero, one, or two points.
1
9
- Substrand 23.0Students apply quadratic equations to physical problems, such as the motion of an object under the force of gravity.
1
12
- Substrand 24.0Students use and know simple aspects of a logical argument:
3
6
- Substrand 25.0Students use properties of the number system to judge the validity of results, to justify each step of a procedure, and to prove or disprove statements:
3
15