California Mathematics Content Standards

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SAMO7203 (B1)

Express quantitative relationships using algebraic terminology, expressions, equations, inequalities, & their graphs: Simplify numerical expressions by applying properties of rational numbers (e.g., identity, inverse, distributive, associative, commutative) & justify the process used (AUGMENTATION 1.3) (CAHSEE)(1.3)

1.3 Simplify numerical expressions by applying properties of rational numbers (e.g., identity, inverse, distributive, associative, commutative) and justify the process used.

Module: Integers & Order of Operations

Unit: Order of Operations

Session 1: Simplifying Expressions

Session 2: Introducing the Distributive Property

Session 3: Using Grouping Symbols

Module: Essentials of Algebra

Unit: Evaluating an Algebraic Expression

Session 2: Combining Like Terms

Module: Essentials of Algebra

Unit: Simple Equations

Session 2: Simplifying Algebraic Expressions

Session 3: Solving Simple Equations

Module: The Language of Algebra

Unit: Variables, Expressions, and Equations

Session 2: Applying Properties of Real Numbers

Module: The Real Number System

Unit: Rational and Irrational Numbers

Session 2: Working with Radicals

SAMO7204 (B1)

Express quantitative relationships using algebraic terminology, expressions, equations, inequalities, & their graphs: Use algebraic terminology (e.g., variable, equation, term, coefficient, inequality, expression, constant) correctly (AUGMENTATION 1.4) (CA HSEE) (1.4

1.4 Use algebraic terminology (e.g., variable, equation, term, coefficient, inequality, expression, constant) correctly.

“Key Words” are introduced at the beginning of each session.

SAMO7205 (B4)

Express quantitative relationships using algebraic terminology, expressions, equations, inequalities, & their graphs: Represent quantitative relationships graphically & interpret the meaning of a specific part of a graph in the situation represented by the graph (AUGMENTATION 1.5) (CA HSEE)

1.5 Represent quantitative relationships graphically and interpret the meaning of a specific part of a graph in the situation represented by the graph.

These concepts are thoroughly integrated throughout this course.

2.0 Students interpret and evaluate expressions involving integer powers and simple roots:

SEE BELOW

SAMO7206 (B2)

Interpret & evaluate expressions involving integer powers & simple roots: Interpret positive whole-number powers as repeated multiplication & negative whole-number powers as repeated division or multiplication by the multiplicative inverse; simplify & evaluate expressions that include exponents (AUGMENTATION 2.1) (CA HSEE)

2.1 Interpret positive whole-number powers as repeated multiplication and negative whole-number powers as repeated division or multiplication by the multiplicative inverse. Simplify and evaluate expressions that include exponents.

Module: Radicals and Exponents

Unit: Introduction to Radicals and Pythagorean Theorem

Session 1: Exploring the Pythagorean Theorem

Session 3: Defining Irrational Numbers

Module: Radicals and Exponents

Unit: Introduction to Scientific Notation

Session 1: Writing Numbers Using Scientific Notation

Session 3: Writing Numbers Between 0 and 1 in Scientific Notation

Module: Powers and Polynomials

Unit: Polynomial Arithmetic

Session 1: Working with Powers

SAMO7207a (B2)

Interpret & evaluate expressions involving integer powers & simple roots: Multiply & divide monomials (AUGMENTATION 2.2) (CA HSEE)

2.2 Multiply and divide monomials, extend the process of taking powers and extracting roots to monomials when the latter results in a monomial with an integer exponent.

Module: Powers and Polynomials

Unit: Polynomial Arithmetic

Session 1: Working with Powers

(too advanced)

SAMO7207b (B2)

Interpret & evaluate expressions involving integer powers & simple roots: Extend the process of taking powers & extracting roots to monomials when the latter results in a monomial with an integer exponent (AUGMENTATION 2.2) (CA HSEE)

2.2 Multiply and divide monomials, extend the process of taking powers and extracting roots to monomials when the latter results in a monomial with an integer exponent.

(Continued)

Module: Powers and Polynomials

Unit: Factoring Polynomials

Session 1: Finding Common Factors

3.0 Students graph and interpret linear and some nonlinear functions:

SEE BELOW

SAMO7208 (B4)

Graph & interpret linear & some nonlinear functions: Graph functions of the form y=nx² & y=nx³ (3.1) (CA HSEE)

3.1 Graph functions of the form and and use in solving problems

The Graphing Tool

Module: Quadratic Functions & Equations

Unit: Graphing Quadratic Functions and Equations

Session 1: Graphing Parabolas

Session 2: Analyzing Properties of Parabolas

Session 3: Solving Quadratic Equations by Graphing
(Cubics are not covered.)

SAMO7209 (B4)

Graph & interpret linear & some nonlinear functions: Plot the values from the volumes of three-dimensional shapes for various values of the edge lengths (e.g., cubes with varying edge lengths or a triangle prism with a fixed height & an equilateral triangle base of varying lengths (AUGMENTATION 3.2) (CA HSEE)

3.2 Plot the values from the volumes of three-dimensional shapes for various values of the edge lengths (e.g., cubes with varying edge lengths or a triangle prism with a fixed height and an equilateral triangle base of varying lengths.

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