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Approximating the Value of Irrational Numbers

Given problem situations that include pictorial representations of irrational numbers, the student will find the approximate value of the irrational numbers.

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Expressing Numbers in Scientific Notation

Given problem situations, the student will express numbers in scientific notation.

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Creating Nets for Three-Dimensional Figures

Given nets for three-dimensional figures, the student will apply the formulas for the total and lateral surface area of three-dimensional figures to solve problems using appropriate units of measure.

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Drawing Conclusions about Three-Dimensional Figures from Nets

Given a net for a three-dimensional figure, the student will make conjectures and draw conclusions about the three-dimensional figure formed by the given net.

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Converting Between Measurement Systems

Given a real-world situation with measurements in either metric/SI or customary units, the student will solve a problem requiring them to convert from one system to the other.

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Determining if a Relationship is a Functional Relationship

The student is expected to gather and record data & use data sets to determine functional relationships between quantities.

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Graphing Dilations, Reflections, and Translations

Given a coordinate plane, the student will graph dilations, reflections, and translations, and use those graphs to solve problems.

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Graphing and Applying Coordinate Dilations

Given a coordinate plane or coordinate representations of a dilation, the student will graph dilations and use those graphs to solve problems.

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Developing the Concept of Slope

Given multiple representations of linear functions, the student will develop the concept of slope as a rate of change.

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Finding the Probabilities of Dependent and Independent Events

Given problem situations, the student will find the probability of the dependent and independent events.

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Recognizing Misuses of Graphical or Numerical Information

Given a problem situation, the student will analyze data presented in graphical or tabular form by evaluating the predictions and conclusions based on the information given.

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Evaluating Methods of Sampling from a Set of Data

Given a problem situation, the student will evaluate a method of sampling to determine the validity of an inference made from the set of data.

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Using Multiplication by a Constant Factor

Given problems involving proportional relationships, the student will use multiplication by a constant factor to solve the problems.

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Generating Different Representations of Relationships

Given problems that include data, the student will generate different representations, such as a table, graph, equation, or verbal description.

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Predicting, Finding, and Justifying Data from a Table

Given data in table form, the student will use the data table to interpret solutions to problems.

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Predicting, Finding, and Justifying Data from a Graph

Given data in the form of a graph, the student will use the graph to interpret solutions to problems.

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Predicting, Finding, and Justifying Data from Verbal Descriptions

Given data in a verbal description, the student will use equations and tables to solve and interpret solutions to problems.

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Graphing Proportional Relationships

Given a proportional relationship, students will be able to graph a set of data from the relationship and interpret the unit rate as the slope of the line.

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Analyzing Scatterplots

Given a set of data, the student will be able to generate a scatterplot, determine whether the data are linear or non-linear, describe an association between the two variables, and use a trend line to make predictions for data with a linear association.

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Writing Geometric Relationships

Given information in a geometric context, students will be able to use informal arguments to establish facts about the angle sum and exterior angle of triangles, the angles created when parallel lines are cut by a transversal, and the angle-angle criterion for similarity of triangles.