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© 2003 by Sierra Sands Unified School District and EdVISION Corporation.
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Sierra Sands Unified School District
Curriculum Guides 2003-2004
Mathematics - Algebra 1 College Prep., Semester 2

Algebraic Concepts

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
  
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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Geometry

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
  
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
  
Logic: Conditional Statement
The learner will be able to identify both the hypothesis and the conclusion of a conditional statement.
Strand Source Activities
Logic CA: Content Standards, 1998, Algebra I, 24.2 Classroom
  
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Real Numbers and the Coordinate Plane

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
  
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
  
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
  
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
  
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
  
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
  
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
  
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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Functions

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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Problem Solving

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
  
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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Mathematics Processes

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
  
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
  
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
  
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
  
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
  
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
  
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
  
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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Algebraic Concepts

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
  
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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Geometry

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
  
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
  
Logic: Conditional Statement
The learner will be able to identify both the hypothesis and the conclusion of a conditional statement.
Strand Source Activities
Logic CA: Content Standards, 1998, Algebra I, 24.2 Classroom
  
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Real Numbers and the Coordinate Plane

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
  
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
  
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
  
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
  
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
  
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
  
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
  
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
  
top  

Functions

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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Problem Solving

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
  
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
  
top  

Mathematics Processes

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
  
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
  
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
  
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
  
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
  
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
  
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
  
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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