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Using Theoretical and Experimental Probability to Make Predictions

Given an event to simulate, the student will use theoretical probabilities and experimental results to make predictions and decisions.

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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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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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Solving Systems of Equations with Graphs

Given verbal and/or algebraic descriptions of situations involving systems of linear equations, the student will solve the system of equations using graphs.

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Analyzing the Effects of the Changes in "a" on the Graph y = ax^2 + c

Given verbal, graphical, or symbolic descriptions of the graph of* y = ax^2 + c*, the student will investigate, describe, and predict the effects on the graph when *a* is changed.

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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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Solving Quadratic Equations Using Concrete Models

Given a quadratic equation, the student will use tiles to factor and solve the equation.

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Solving Quadratic Equations Using Algebraic Methods

Given a quadratic equation, the student will solve the equation by factoring, completing the square, or by using the quadratic formula.

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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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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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Estimating and Finding Solutions to Problems Involving Similarity and Rates

Given application problems involving similarity and rates, the student will estimate and determine the solutions to the problems.

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Generating Similar Figures Using Dilations

Given a figure, the student will identify the scale factor used for a dilation, and use a dilation by a scale factor, including enlargements and reductions, to generate similar figures.

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Using Geometric Concepts and Properties to Solve Problems

Given pictorial representations, the student will use geometric concepts and properties to solve problems from art and architecture.

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Using Proportional Relations to Find Missing Measurements of Two-Dimensional Figures

Given pictorial representations and problem situations of 2-dimensional figures or 3-dimensional figures, the student will use proportional reasoning to find a missing measurement.

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Using Rational Numbers to Solve Problems

Given a problem situation in verbal form, students will select and use an operation involving rational numbers in order to solve the problem.

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Selecting and Using Appropriate Forms of Rational Numbers

Given real-life problems, the student will select an appropriate method and solve problems involving proportional relationships.

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Exploring Probability with Dependent Events

The student will investigate and develop the concept of dependent probability, including formalizing procedures related to dependent probability and applications of dependent probability.

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Finding Lateral and Total Surface Area

Given concrete models and nets (2-dimensional models) of prisms, pyramids, and cylinders, the student will find and determine the lateral and total surface area.

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4 OnTRACK Grade 7 Math: Number and Operations

Students will learn how to apply mathematical process standards to represent and use real numbers in a variety of forms.