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with Mark Kover, M.S.

\$997

Geometry & Trigonometry

Students create and use mathematical models to understand and explain authentic scenarios. Mathematical modeling is a process that helps people analyze and explain the world. In Accelerated Geometry & Trig, students explore real-world contexts where mathematics can be used to make sense of a situation. They engage in the modeling process by making choices about what aspects of the situation to model, assessing how well the model represents the available data, drawing conclusions from their model, justifying decisions they make through the process, and identifying what the model helps clarify and what it does not. In addition to mathematical modeling, Accelerated Geometry & Trig students engage in mathematics through authentic applications. Applications are similar to modeling problems in that they are drawn from real-world phenomena, but they differ because the applications dictate the appropriate mathematics to use to solve the problem.

Often, geometric reasoning is used to make sense of algebraic calculations. Likewise, algebraic techniques can be used to solve problems involving geometry. Patterns in data can emerge by depicting the data visually. Statistical calculations are important and valuable, but they make more sense to students when they are conceptually grounded in and related to graphical representations of data.

Skills Summary:  After successful completion of this course, students will be able to:

• Use the formulas for distance, slope, and midpoint and derive them.
• Verify whether lines are parallel, perpendicular, or neither using formulas
• Determine the equation of a line that passes through a particular point and is parallel or perpendicular to a given line
• Transform figures in a plane by dilating, translating, reflecting, and rotating them.
• Describe a transformation in words and in coordinate notation
• Identify a sequence of transformations that will move one object onto another.
• Distinguish and identify objects that have reflectional and rotational symmetry
• Determine whether a conditional statement is true or false; and if it is true, give a reasonable counterexample.
• Identify, compare, and contrast a conditional statement with its converse, inverse, and contrapositive.
• Contrast Euclidean and spherical geometries through examining the concepts of parallel lines and the sum of the angles in a triangle.
• Prove various theorems about angles and apply these theorems to solve problems.
• Prove triangles are congruent using triangle congruence theorems.
• Apply the definition of triangle congruence to identify congruent sides and angles.
• Verify theorems about triangles, such as the Pythagorean Theorem, and apply these theorems to solve problems.

Prerequisites:  Accelerated Algebra 1

• Aug 23rd, 2022 - Apr 30th, 2023
Thu for 30 weeks from 1:00 pm