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Selecting a Method to Solve Equations or Inequalities

Given an equation or inequality, the student will select a method (algebraically, graphically, or calculator) to solve the equation or inequality.

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Comparing and Contrasting Proportional and Non-Proportional Linear Relationships

Given problem solving situations, the student will solve the problems by comparing and contrasting proportional and non-proportional linear relationships.

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Predicting the Effects of Changing Slope in Problem Situations

Given verbal, symbolic, numerical, or graphical representations of problem situations, the student will interpret and predict the effects of changing the slope in the context of the situations.

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Connecting Postulates, Definitions, and Theorems

The student will distinguish the difference between undefined terms, definitions, postulates, conjectures, and theorems.

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Constructing and Justifying Statements about Geometric Figures

Students will distinguish between undefined terms, definitions, postulates, conjectures, and theorems and investigate patterns to make conjectures about geometric relationships.

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Using Properties of Transformations

Given examples of mathematics in the real world, the student will use properties of transformations and their composites to describe and perform transformations of figures in a plane.

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Using Logical Reasoning to Prove Conjectures about Circles

Given conjectures about circles, the student will use deductive reasoning and counterexamples to prove or disprove the conjectures.

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Rational Functions: Predicting the Effects of Parameter Changes

Given parameter changes for rational functions, students will be able to predict the resulting changes on important attributes of the function, including domain and range and asymptotic behavior.

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Estimating Measurements and Using Models and Formulas: 3-Dimensional Figures

Given application problems involving 3-dimensional figures, the student will estimate measurements, including surface area and/or volume, then solve the problems.

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Using the Pythagorean Theorem to Solve Indirect Measurements

Given real-life problems, the student will use the Pythagorean Theorem to solve the problems.

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Coordinate Geometry: Special Segments

The student will derive and use the slope and midpoint formulas to verify geometric relationship that include parallelism and perpendicularity of lines. Then, the student will determine an equation of a line parallel or perpendicular to a given line.

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Applying Trigonometric Ratios

Given problem situations involving similar figures, the student will apply and justify triangle similarity relationships such as trigonometric ratios.

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Determining Area of Composite Figures

Given composite figures (combinations of rectangles, squares, parallelograms, trapezoids, triangles, semicircles, and quarter circles), students will be able to determine expressions for the area as well as calculate the area of the figure.

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Using Models to Solve Equations

Given a problem, the student will use concrete and pictorial models to solve equations and use symbols to record their actions.

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Solving Square Root Equations Using Tables and Graphs

Given a square root equation, the student will solve the equation using tables or graphs - connecting the two methods of solution.

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Comparing and Ordering Rational Numbers

Given a problem situation, the student will compare and order integers, percents, positive and negative fractions and decimals with or without a calculator.

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Demonstrating the Pythagorean Theorem

Given pictures or models that represent the Pythagorean Theorem, the student will demonstrate an understanding of the theorem.

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Investigating Methods for Solving Linear Equations and Inequalities

Given linear equations and inequalities, the student will investigate methods for solving the equations or inequalities.

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Writing Verbal Descriptions of Functional Relationships

Given a problem situation containing a functional relationship, the student will verbally describe the functional relationship that exists.

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Selecting and Using Representations for Collected Data

Given a variety of data (including line plots, line graphs, stem and leaf plots, circle graphs, bar graphs, box and whisker plots, histograms, and Venn diagrams), the student will select and use an appropriate representation for presenting and displaying relationships among the collected data with and without the use of technology