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## Math Sample: Course 1, Unit 4, Activity 17—Understanding Ratios

Explore an activity in which students use models to build conceptual understanding of ratios and apply that understanding to proportional relationships in tabular and graphical representations.

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## Math Sample: Course 2, Unit 3, Activity 8—Ratio and Proportion

Explore Unit 3, in which students use ratios and proportions to analyze financial transactions, calculate the dimensions of a soccer field, and create scale drawings of real-world structures.

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## Math Sample: Course 3, Unit 2, Activity 9—Writing Expressions

Students identify and represent patterns using models, tables, and expressions, and write and evaluate algebraic expressions that represent patterns with constant differences. During the activity, students discuss the concepts with a partner, in groups, and with the entire class. This download includes the teacher instructions and the student handout.

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## Math Sample: Algebra 1, Unit 2, Activity 10—Linear Models

Explore an activity in which students solve problems by gathering real-world data, recording results in tables, and representing results with graphs. They also write function equations and learn to write and use inverse functions.

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## Math Sample: Geometry, Unit 2, Activity 11—Congruence Transformations and Triangle Congruence

Explore an activity in which students explore congruence using a transformational approach, investigate triangle congruence criteria, write proofs for each triangle congruence criterion, and apply congruence criteria in real-world contexts.

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## Math Sample: Algebra 2, Unit 2, Activity 10—Writing Quadratic Equations

Explore an activity in which students explore the relationship between the equation of a parabola and a quadratic function.

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## Math Sample: Integrated Math I, Unit 2, Activity 6—Understanding Linear Functions

Explore an activity in which students explore slope and rate of change; solve problems by gathering real-world data, recording results in tables and representing results with graphs; and write linear functions in different forms.

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## Math Sample: Integrated Math II, Unit 6, Activity 32—Equation of a Circle

Explore an activity in which students connect algebra and geometry by deriving, writing, and applying the equation of a circle to solve problems.

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## Math Sample: Integrated Math III, Unit 3, Activity 14—Logarithms and Their Properties

Explore an activity in which students extend their understanding of exponential functions and relate them to logarithms and logarithmic functions.

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## Math Sample: Precalculus, Unit 4, Activity 25—The Law of Sines

Explore an activity in which students discover mathematical relationships and use the law of sines, including cross-curricular connections between math and aviation.

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