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Module 3: Investigating Growth and Decay

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Algebra I - Module 1, Topic 2: Sequences

In this topic, students explore sequences represented as lists of numbers, in tables of values, by equations, and as graphs on the coordinate plane. Students move from an intuitive understanding of patterns to a more formal approach of representing sequences as functions. In the final lesson of the topic, students are introduced to the modeling process. Defined in four steps—Notice and Wonder, Organize and Mathematize, Predict and Analyze, and Test and Interpret—the modeling process gives students a structure for approaching real-world mathematical problems.

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Algebra I - Module 1, Topic 3: Linear Regressions

In this topic, students focus on the patterns that are evident in certain data sets and use linear functions to model those patterns. Using the informal knowledge of lines of best fit that was built in previous grades, students advance their statistical methods to make predictions about real-world phenomena. They differentiate between correlation and causation, recognizing that a correlation between two quantities does not necessarily mean that there is also a causal relationship. At the end of this topic, students will synthesize what they have learned to decide whether a linear model is appropriate.

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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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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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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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Kid2Kid: Determining the Meaning of Slope and Intercepts

Kid2Kid videos on determining the meaning of slope and intercepts in English and Spanish

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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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4 OnTRACK English I Writing: Writing the Expository and Procedural Essay

OnTRACK English I Writing, Module 3, Lessons 1–4. Students write expository and procedural or work-related texts to communicate ideas and information to specific audiences for specific purposes