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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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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.

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19 OnTRACK Grade 7 Math: Proportionality

Students will learn to use proportional relationships to describe dilations; to explain proportional and non-proportional relationships involving slope; and to use proportional and non-proportional relationships to develop foundational concepts of functions.

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7 OnTRACK Grade 7 Math: Expressions, Equations, and Relationships

Students will learn to develop mathematical relationships and make connections to geometric formulas; use geometry to solve problems; use one-variable equations or inequalities in problem situations; and use multiple representations to develop foundational concepts of simultaneous linear equations.

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11 OnTRACK Grade 8 Math: Proportionality

Students learn to to use proportional relationships to describe dilation; explain proportional and non-proportional relationships involving slope; and use proportional and non-proportional relationships to develop foundational concepts of functions.

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6 OnTRACK Algebra I: Properties and Attributes of Functions

Students will learn how to use the properties and attributes of functions.

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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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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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Quadratics: Connecting Roots, Zeros, and x-Intercepts

Given a quadratic equation, the student will make connections among the solutions (roots) of the quadratic equation, the zeros of their related functions, and the horizontal intercepts (*x*-intercepts) of the graph of the function.

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Using the Laws of Exponents to Solve Problems

Given problem situations involving exponents, the student will use the laws of exponents to solve the problems.

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Formulating Systems of Equations (Verbal → Symbolic)

Given verbal descriptions of situations involving systems of linear equations the student will analyze the situations and formulate systems of equations in two unknowns to solve problems.

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Solving Quadratic Equations Using Graphs

Given a quadratic equation, the student will use graphical methods to solve the equation.

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Determining the Meaning of Intercepts

Given algebraic, tabular, and graphical representations of linear functions, the student will determine the intercepts of the function and interpret the meaning of intercepts within the context of the situation.