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Tangents Teacher Resources
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Test eight from The Official SAT Study Guide includes eighteen problems, the first four of which are featured in this video. Basic algebraic expressions, linear equations, tangent circles, and coordinates on a plane test algebra and geometry skills.
In this writing equations worksheet, students examine given information and write the equation of a circle in standard form. This four-page worksheet contains 30 problems. Answers are provided on the last page.
Students study the concept of tangent of a unit circle. In this unit circle lesson, students explore the mathematical history of the trigonometric ration, tangent, through an interactive date-gathering construction that simulates an experience that mirrors how values of trig functions may have been approximated.
Students use Geometer's Sketchpad software to explore angles and theorems of circles. They examine the relationship between angle measure and arc measure, and they create and measure central angles, inscribed angles, tangents, chords and secants. Students complete an activity sheet which leads them to investigate secants and tangents. Additional multi-sensory activities are listed.
Students explore properties of tangent lines. In this properties of tangent lines lesson, students discuss the perpendicular relationship between a tangent line on a circle and the circle's radius. Students use that relationship to determine unknown distances.
In this circles and arcs worksheet, students solve 12 multiple choice problems. Students write equations of circles given the center and diameter. Students find angle measures, major arcs, arc lengths, chord lengths, etc given a sketch of a circle.
Students identify the different ratios of a right triangle. In this trigonometry instructional activity, students calculate the sine, cosine and tangent of a right triangle. They differentiate between right and oblique triangles.
Students explore characteristics of right angles around circles. In this Pythagorean Theorem lesson, students explore circles, special right triangles and the Pythagorean Theorem. They find the area of shaded regions.
Students explore the concept of the unit circle. In this unit circle instructional activity, students create a scatter plot of the sine, cosine, and tangent function using data from the x and y values on the unit circle. Students generalize the tangent, sine, and cosine relationships.
A plethora of lessons from Key Curriculum press to explore real-world applications using vectors, time, distance, and trig functions. There are a wide variety of examples, diagrams, and activities to learn trigonometric ratios, unit circle, transforming functions, direct proof, two-column proof, and conditional proof. There are many lessons and it would take several days to cover all the topics.