|
|
|
Sierra Sands Unified School District |
|
Curriculum Guides 2003-2004 |
|
Mathematics - Algebra 2 Semester 2 |
|
|
Expressions: Rational/Operations
The learner will be able to
reduce, evaluate, and perform the four basic operations with rational expressions having monomial and polynomial denominators.
| Strand |
Source |
Activities |
| Expressions |
CA: Content Standards, 1998, Algebra II, 7.0 |
Classroom
|
|
Binomial Theorem: Understand
The learner will be able to
understand the Binomial Theorem.
| Strand |
Source |
Activities |
| Binomial Expansion |
CA: Content Standards, 1998, Algebra II, 20.0 |
Classroom
|
|
Binomial Theorem: Apply
The learner will be able to
apply the binomial theorem to expand binomial expressions raised to positive integer powers.
| Strand |
Source |
Activities |
| Binomial Expansion |
CA: Content Standards, 1998, Algebra II, 20.0 |
Classroom
|
|
Logarithms: Simplify/Expressions
The learner will be able to
apply the properties of logarithms to simplify expressions and to determine their estimated values.
| Strand |
Source |
Activities |
| Logarithms |
CA: Content Standards, 1998, Algebra II, 14.0 |
Classroom
|
|
Logarithms: Prove Laws
The learner will be able to
create proofs of the basic laws of logarithms.
| Strand |
Source |
Activities |
| Logarithms |
CA: Content Standards, 1998, Algebra II, 11.0 |
Classroom
|
|
|
Calculus and Pre-Calculus
|
Conic Section: Graphs/Coefficients
The learner will be able to
describe and/or show the manner in which the shape and characteristics of the graph of a conic section are determined by the coefficients of the quadratic equation that represents it.
| Strand |
Source |
Activities |
| Conic Sections |
CA: Content Standards, 1998, Algebra II, 16.0 |
Classroom
|
|
Fractions: Simplify/Complex
The learner will be able to
simplify complicated fractions that may posses a negative exponent in the denominator.
| Strand |
Source |
Activities |
| Fractions |
CA: Content Standards, 1998, Algebra II, 7.0 |
Classroom
|
|
Probability: Combination/Permutation
The learner will be able to
apply combinations and/or permutations in calculating probabilities.
| Strand |
Source |
Activities |
| Probability |
CA: Content Standards, 1998, Algebra II, 19.0 |
Classroom
|
|
Counting: Fundamental Principle
The learner will be able to
apply fundamental counting principles to calculate permutations and/or combinations.
| Strand |
Source |
Activities |
| Counting Methods |
CA: Content Standards, 1998, Algebra II, 18.0 |
Classroom
|
|
Series: Determine/Sum/Arithmetic
The learner will be able to
determine the sum of an arithmetic series.
| Strand |
Source |
Activities |
| Series |
CA: Content Standards, 1998, Algebra II, 22.0 |
Classroom
|
|
Series: Sum/Finite/Infinite Geometric
The learner will be able to
determine the sum of a finite and infinite geometric series should it exist.
| Strand |
Source |
Activities |
| Series |
CA: Content Standards, 1998, Algebra II, 22.0 |
Classroom
|
|
Series: General Term
The learner will be able to
determine the general term for arithmetic series, as well as finite and infinite geometric series.
| Strand |
Source |
Activities |
| Series |
CA: Content Standards, 1998, Algebra II, 22.0 |
Classroom
|
|
Series: Derive/Formula/Arithmetic
The learner will be able to
derive the formula for an arithmetic series.
| Strand |
Source |
Activities |
| Series |
CA: Content Standards, 1998, Algebra II, 23.0 |
Classroom
|
|
Series: Derive/Formula/Finite/Geometric
The learner will be able to
derive the formula for a finite geometric series.
| Strand |
Source |
Activities |
| Series |
CA: Content Standards, 1998, Algebra II, 23.0 |
Classroom
|
|
Series: Derive/Formula/Geometric
The learner will be able to
derive the formula for an infinite geometric series.
| Strand |
Source |
Activities |
| Series |
CA: Content Standards, 1998, Algebra II, 23.0 |
Classroom
|
|
Logarithms: Comprehend/Properties
The learner will be able to
comprehend properties of logarithms.
| Strand |
Source |
Activities |
| Logarithms |
CA: Content Standards, 1998, Algebra II, 14.0 |
Classroom
|
|
Logarithms: Apply Definition/Formulas
The learner will be able to
apply the definition of a logarithm and the logarithm product formula to convert between logarithms of any base.
| Strand |
Source |
Activities |
| Logarithms |
CA: Content Standards, 1998, Algebra II, 13.0 |
Classroom
|
|
Logarithms: Problem Solving
The learner will be able to
apply the inverse relationship that exists between exponents and logarithms to obtain problem solutions where those concepts are involved.
| Strand |
Source |
Activities |
| Logarithms |
CA: Content Standards, 1998, Algebra II, 11.1 |
Classroom
|
|
Reasoning: True/False
The learner will be able to
determine if a given algebraic statement that involves rational expressions, radical expressions, logarithmic or exponential functions is true, false, or occasionally true.
| Strand |
Source |
Activities |
| Reasoning |
CA: Content Standards, 1998, Algebra II, 15.0 |
Classroom
|
|
Reasoning: Mathematical Induction
The learner will be able to
apply mathematical induction to create proofs of general statements concerning the positive integers.
| Strand |
Source |
Activities |
| Reasoning |
CA: Content Standards, 1998, Algebra II, 21.0 |
Classroom
|
|
Reasoning: Judge Argument Validity
The learner will be able to
evaluate the validity of a given argument based on whether certain properties (of real numbers, exponents, and logarithms) have been correctly applied during each phase of the process.
| Strand |
Source |
Activities |
| Reasoning |
CA: Content Standards, 1998, Algebra II, 11.2 |
Classroom
|
|
Exponential Functions: Comprehend
The learner will be able to
comprehend exponential functions.
| Strand |
Source |
Activities |
| Exponential Functions |
CA: Content Standards, 1998, Algebra II, 12.0 |
Classroom
|
|
Exponential Functions: Growth/Decay
The learner will be able to
apply exponential functions to problems that involve exponential growth and decay.
| Strand |
Source |
Activities |
| Exponential Functions |
CA: Content Standards, 1998, Algebra II, 12.0 |
Classroom
|
|
Exponential/Logarithmic: Comprehend
The learner will be able to
comprehend the inverse relationship between exponents and logarithms.
| Strand |
Source |
Activities |
| Exponential/Logarithmic Functions |
CA: Content Standards, 1998, Algebra II, 11.1 |
Classroom
|
|
Functions: Justify Steps
The learner will be able to
justify the steps taken in combining and simplifying functions through the use of properties of number systems.
| Strand |
Source |
Activities |
| Functions |
CA: Content Standards, 1998, Algebra II, 25.0 |
Classroom
|
|
Problem Solving: Functional Concepts
The learner will be able to
obtain problem solutions that involve functional concepts including composition, inverse, and arithmetic operations.
| Strand |
Source |
Activities |
| Problem Solving |
CA: Content Standards, 1998, Algebra II, 24.0 |
Classroom
|
|
|
