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Sierra Sands Unified School District |
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Curriculum Guides 2003-2004 |
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Mathematics - Algebra A Semester 1 |
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Properties: Identify/Apply
The learner will be able to
recognize and/or apply properties of the many subsets of the set of real numbers including the property of closure for the four basic operations.
| Strand |
Source |
Activities |
| Properties |
CA: Content Standards, 1998, Algebra I, 1.0 |
Classroom
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Properties: Construct Arguments
The learner will be able to
apply properties of numbers to create elementary valid arguments for, or develop counterexamples to claimed assertions.
| Strand |
Source |
Activities |
| Properties |
CA: Content Standards, 1998, Algebra I, 25.1 |
Classroom
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Operations: Comprehend/Apply
The learner will be able to
comprehend and apply operations such as taking the opposite, determining the reciprocal, and taking a root.
| Strand |
Source |
Activities |
| Operations |
CA: Content Standards, 1998, Algebra I, 2.0 |
Classroom
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Properties: Apply
The learner will be able to
apply properties of numbers to illustrate the true or false nature of an assertion.
| Strand |
Source |
Activities |
| Properties |
CA: Content Standards, 1998, Algebra I, 1.1 |
Classroom
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Properties: Number System
The learner will be able to
apply the properties of the number system to evaluate the validity of results.
| Strand |
Source |
Activities |
| Properties |
CA: Content Standards, 1998, Algebra I, 25.0 |
Classroom
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Properties: Number System
The learner will be able to
apply the properties of the number system to justify the various steps of a given procedure.
| Strand |
Source |
Activities |
| Properties |
CA: Content Standards, 1998, Algebra I, 25.0 |
Classroom
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Properties: Number System
The learner will be able to
apply the properties of the number system to prove (or disprove) statements.
| Strand |
Source |
Activities |
| Properties |
CA: Content Standards, 1998, Algebra I, 25.0 |
Classroom
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Simplify Expressions: Solve/One Variable
The learner will be able to
simplify expressions before attempting to solve linear equations and inequalities with one variable.
| Strand |
Source |
Activities |
| Simplify Expressions |
CA: Content Standards, 1998, Algebra I, 4.0 |
Classroom
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Exponents: Comprehend/Rules
The learner will be able to
comprehend the rules of exponents.
| Strand |
Source |
Activities |
| Exponents |
CA: Content Standards, 1998, Algebra I, 2.0 |
Classroom
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Expressions: Rational/Arithmetic
The learner will be able to
perform the basic arithmetic operations with rational expressions.
| Strand |
Source |
Activities |
| Expressions |
CA: Content Standards, 1998, Algebra I, 13.0 |
Classroom
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Solve Equations: Use/Absolute Value
The learner will be able to
obtain solutions to equations that involve the use of absolute value.
| Strand |
Source |
Activities |
| Solve Equations |
CA: Content Standards, 1998, Algebra I, 3.0 |
Classroom
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Algebraic Concepts: Applying Methods
The learner will be able to
apply algebraic methods to solve problems involving rate, work, and percent mixture.
| Strand |
Source |
Activities |
| Algebraic Concepts |
CA: Content Standards, 1998, Algebra I, 15.0 |
Classroom
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Relations: Find/Domain/Range
The learner will be able to
find the domain of the independent variables and the range of the dependent variables represented by a graph, a set of ordered pairs, or a symbolic expression.
| Strand |
Source |
Activities |
| Relations |
CA: Content Standards, 1998, Algebra I, 17.0 |
Classroom
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Relations: Evaluate/Function
The learner will be able to
evaluate a relation that may be expressed symbolically, by a graph, or set of ordered pairs to see if it is a function and justify their result.
| Strand |
Source |
Activities |
| Relations |
CA: Content Standards, 1998, Algebra I, 18.0 |
Classroom
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Functions/Relations: Understanding
The learner will be able to
comprehend the concepts of relation and function.
| Strand |
Source |
Activities |
| Functions/Relations |
CA: Content Standards, 1998, Algebra I, 16.0 |
Classroom
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Functions/Relations: Determine
The learner will be able to
determine whether a given relationship is a function or a relation.
| Strand |
Source |
Activities |
| Functions/Relations |
CA: Content Standards, 1998, Algebra I, 16.0 |
Classroom
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Functions/Relations: Information
The learner will be able to
relate relevant information concerning functions and relations.
| Strand |
Source |
Activities |
| Functions/Relations |
CA: Content Standards, 1998, Algebra I, 16.0 |
Classroom
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Problem Solving: Challenging
The learner will be able to
obtain solutions to problems that are challenging both in concept and in actual calculation using methods involving operations with rational expressions and functions.
| Strand |
Source |
Activities |
| Problem Solving |
CA: Content Standards, 1998, Algebra I, 13.0 |
Classroom
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Problem Solving: Multiple Step
The learner will be able to
obtain solutions to multiple step problems (including word problems) that use linear equations and linear inequalities with one variable, and justify each step of the process.
| Strand |
Source |
Activities |
| Problem Solving |
CA: Content Standards, 1998, Algebra I, 5.0 |
Classroom
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Reasoning: Determine Truth
The learner will be able to
determine the truth of a statement (always, never, sometimes) that may involve linear, quadratic, or absolute value expressions, equations, or inequalities.
| Strand |
Source |
Activities |
| Reasoning |
CA: Content Standards, 1998, Algebra I, 25.3 |
Classroom
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Reasoning: Logical Argument
The learner will be able to
apply a knowledge of the simple aspects of a logical argument.
| Strand |
Source |
Activities |
| Reasoning |
CA: Content Standards, 1998, Algebra I, 24.0 |
Classroom
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Reasoning: Identify Examples
The learner will be able to
recognize examples of inductive and deductive reasoning.
| Strand |
Source |
Activities |
| Reasoning |
CA: Content Standards, 1998, Algebra I, 24.1 |
Classroom
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Reasoning: Explain Differences
The learner will be able to
describe the differences that exist between inductive and deductive reasoning.
| Strand |
Source |
Activities |
| Reasoning |
CA: Content Standards, 1998, Algebra I, 24.1 |
Classroom
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Reasoning: Judging Validity
The learner will be able to
judge the validity of an argument with a basis on whether the properties of the real number system, as well as the order of operations have been correctly used at each step.
| Strand |
Source |
Activities |
| Reasoning |
CA: Content Standards, 1998, Algebra I, 25.2 |
Classroom
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Reasoning: Provide Examples
The learner will be able to
offer examples of deductive and inductive reasoning.
| Strand |
Source |
Activities |
| Reasoning |
CA: Content Standards, 1998, Algebra I, 24.1 |
Classroom
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Math Concepts: Disclaim Assertions
The learner will be able to
formulate counterexamples to negate given assertions.
| Strand |
Source |
Activities |
| Mathematical Concepts |
CA: Content Standards, 1998, Algebra I, 24.3 |
Classroom
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Counterexample: Refute Assertion
The learner will be able to
realize that one counterexample is sufficient to refute an assertion.
| Strand |
Source |
Activities |
| Reasoning |
CA: Content Standards, 1998, Algebra I, 24.3 |
Classroom
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