Chapter 1:
- Exploration of expressions, equations, and functions.
- Number rules and properties
- Problem solving using patterns and sequences
- Data anaylsis using stem and leaf plots
- Interpretation and organization of data using graphs
Chapter 2:
- Explortaion of rational numbers
- Numer line model and rules for operations
- Synthesis of word problems into algebraic equations
Chapter 3:
- Solving linear equations
- Manipulative models are used to develop rules
- Geometric application - angles and triangles
- Data analysis using measures of central tendency
- Computer Reinforement: "Geometer's Sketchpad"
Chapter 4:
- Proportional Reasoning using equations
- Ratios and Proportions in real life - percents
- Geometry Applications - Similar Triangles
- Trigonometric Applications - Sine, Cosine, Tangent
- Statistics - Probability and Odds
Chapter 5:
- Graphing Relations and Functions
- Analysis of relations - Ordered pairs, tables, mapping, graph
- Determine if a relation is a function
- Connection between algebraic equations and geometric model
- Graphing on the Cartesian Coordinate System
- Statistics - Measures of Variation - graphing calculators
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Chapter 6:
- Analyzing Linear Equations
- Standard Form, Point-Slope Form, Slope-Intercept Form
- Data analysis using scatter plots and best fit lines
- Graphing Calculators-families of linear graphs
- Geometry Application - Midpoint, parallel and perpendicular lines
Chapter 7:
- Solving Linear Equations
- Models used to develop rules
- Compound Inqualities - absolute value, compound events
- Data analysis - box and whisker plots
- Graphing Calculators - Graphing inequalities, box and whisker plots
Chapter 8:
- Systems of linear equations and inequalities
- Classify as Consistent, Inconsistent, Independent, Dependent
- Methods for solving - Substiotution, elimination
- Graphing Calculators used to evaluate systems
Chapter 9:
- Explore Polynomials
- Operations involving polynomials
- Problem solving strategy - Look for a pattern
Chapter 10:
- Factors and Factoring as a means for solving quadratic equations
- Distributive Property, trinomials, difference of squares, perfect squard trinomials
Chapter 12:
- Explore rational expressions and equations
- Simplify Rational expressions, add, subtract, multiply, divide
- Solve rational equations
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