pssm standards: algebra i
Instructional programs from prekindergarten through grade 12
should enable all students to--
Grades 9–12 Expectations: In grades 9–12 all students should–
Represent and analyze mathematical situations and structures using algebraic symbols
Grades 9–12 Expectations: In grades 9–12 all students should–
Use mathematical models to represent and understand quantitative relationships
Grades 9–12 Expectations: In grades 9–12 all students should–
Analyze change in various contexts
Grades 9–12 Expectations: In grades 9–12 all students should–
should enable all students to--
- Understand patterns, relations, and functions
- Represent and analyze mathematical situations and structures using algebraic symbols
- Use mathematical models to represent and understand quantitative relationships
- Analyze change in various contexts
Grades 9–12 Expectations: In grades 9–12 all students should–
- generalize patterns using explicitly defined and recursively defined functions;
- understand relations and functions and select, convert flexibly among, and use various representations for them;
- analyze functions of one variable by investigating rates of change, intercepts, zeros, asymptotes, and local and global behavior;
- understand and perform transformations such as arithmetically combining, composing, and inverting commonly used functions, using technology to perform such operations on more-complicated symbolic expressions;
- understand and compare the properties of classes of functions, including exponential, polynomial, rational, logarithmic, and periodic functions;
- interpret representations of functions of two variables
Represent and analyze mathematical situations and structures using algebraic symbols
Grades 9–12 Expectations: In grades 9–12 all students should–
- understand the meaning of equivalent forms of expressions, equations, inequalities, and relations;
- write equivalent forms of equations, inequalities, and systems of equations and solve them with fluency—mentally or with paper and pencil in simple cases and using technology in all cases;
- use symbolic algebra to represent and explain mathematical relationships;
- use a variety of symbolic representations, including recursive and parametric equations, for functions and relations;
- judge the meaning, utility, and reasonableness of the results of symbol manipulations, including those carried out by technology.
Use mathematical models to represent and understand quantitative relationships
Grades 9–12 Expectations: In grades 9–12 all students should–
- identify essential quantitative relationships in a situation and determine the class or classes of functions that might model the relationships;
- use symbolic expressions, including iterative and recursive forms, to represent relationships arising from various contexts;
- draw reasonable conclusions about a situation being modeled.
Analyze change in various contexts
Grades 9–12 Expectations: In grades 9–12 all students should–
- approximate and interpret rates of change from graphical and numerical data.