Clarifications
Clarification 1: Instruction includes using the Pythagorean Theorem and using similar triangles to demonstrate that trigonometric ratios stay the same for similar right triangles.Clarification 2: Within the Geometry course, instruction includes using the coordinate plane to make connections to the unit circle.
Clarification 3: Within the Geometry course, trigonometric ratios are limited to sine, cosine and tangent.
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Formative Assessments
Lesson Plans
MFAS Formative Assessments
Students are asked to explain the relationship between sine and cosine of complementary angles.
Students are asked to use 30-60-90 triangle relationships to observe and explain the relationship between sin 30 and cos 60 (or sin 60 and cos 30).
Students are given the sine and cosine of angle measures and asked to identify the sine and cosine of their complements.
Students are asked to explain the relationship between sine and cosine of the acute angles of a right triangle.
Students are asked to compare the ratio of corresponding sides of two triangles and to explain how this ratio is related to the cosine of a given angle.
Students are asked to explain what a given sine ratio indicates about a right triangle and if the sine of a specific value varies depending on the right triangle.