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Sierra Sands Unified School District |
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Curriculum Guides 2003-2004 |
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Mathematics - Algebra GR Semester 1 |
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Fractions: Simplify/Polynomial
The learner will be able to
simplify fractions that are composed of polynomials in the numerator and denominator through factorization of both parts and reducing to lowest terms.
| Strand |
Source |
Activities |
| Fractions |
CA: Content Standards, 1998, Algebra I, 12.0 |
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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Real Numbers and the Coordinate Plane
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Slope: Parallel/Perpendicular/Relation
The learner will be able to
identify how the slopes of parallel and perpendicular lines are related.
| Strand |
Source |
Activities |
| Slope |
CA: Content Standards, 1998, Algebra I, 8.0 |
Classroom
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Linear Equations: Calculate/X-Intercept
The learner will be able to
calculate the x-intercept of a linear equation.
| Strand |
Source |
Activities |
| Linear Equations |
CA: Content Standards, 1998, Algebra I, 6.0 |
Classroom
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Linear Equations: Calculate/Y-Intercept
The learner will be able to
calculate the y-intercept of a linear equation.
| Strand |
Source |
Activities |
| Linear Equations |
CA: Content Standards, 1998, Algebra I, 6.0 |
Classroom
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Linear Equations: Formulate/Point-Slope
The learner will be able to
formulate the equation of a line through the use of the point-slope formula.
| Strand |
Source |
Activities |
| Linear Equations |
CA: Content Standards, 1998, Algebra I, 7.0 |
Classroom
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Linear Equations: Point/Perpendicular
The learner will be able to
determine the equation of a line given a point on the line and the equation of a perpendicular line.
| Strand |
Source |
Activities |
| Linear Equations |
CA: Content Standards, 1998, Algebra I, 8.0 |
Classroom
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Linear Equations: Verify Points
The learner will be able to
check that a point lies on a line when the equation of the line is known.
| Strand |
Source |
Activities |
| Linear Equations |
CA: Content Standards, 1998, Algebra I, 7.0 |
Classroom
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Linear Inequalities: Graphing Solution
The learner will be able to
show the solutions to linear inequalities on a graph.
| Strand |
Source |
Activities |
| Linear Inequalities |
CA: Content Standards, 1998, Algebra I, 6.0 |
Classroom
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Graphing: Linear Equations
The learner will be able to
graph a linear equation.
| Strand |
Source |
Activities |
| Graphing |
CA: Content Standards, 1998, Algebra I, 6.0 |
Classroom
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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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Absolute Value: Solve/Inequalities
The learner will be able to
obtain solutions to absolute value inequalities.
| Strand |
Source |
Activities |
| Absolute Value |
CA: Content Standards, 1998, Algebra I, 3.0 |
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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Exponents: Comprehend/Fractional
The learner will be able to
comprehend fractional exponents.
| Strand |
Source |
Activities |
| Exponents |
CA: Content Standards, 1998, Algebra I, 2.0 |
Classroom
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Exponents: Apply Rules
The learner will be able to
apply the rules of exponents.
| Strand |
Source |
Activities |
| Exponents |
CA: Content Standards, 1998, Algebra I, 2.0 |
Classroom
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Exponents: Apply/Fractional Exponents
The learner will be able to
apply fractional exponents.
| Strand |
Source |
Activities |
| Exponents |
CA: Content Standards, 1998, Algebra I, 2.0 |
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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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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Lines: Comprehend/Perpendicular
The learner will be able to
comprehend the concepts of perpendicular lines.
| Strand |
Source |
Activities |
| Lines: Parallel/Perpendicular |
CA: Content Standards, 1998, Algebra I, 8.0 |
Classroom
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Parallel Lines: Comprehend/Concept
The learner will be able to
comprehend the concepts of parallel lines.
| Strand |
Source |
Activities |
| Lines: Parallel/Perpendicular |
CA: Content Standards, 1998, Algebra I, 8.0 |
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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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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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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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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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: 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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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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