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- Grade Range
- 10th
- Rating
Students solve problems using the tangent of angles using the flagpole and its shadow as references. Full Review »
- Grade Range
- 11th
- Rating
Students investigate the relationship between a tangent circle proving the Tangent Theorem and its converse, the tangent Chord theorem. They use geometer's sketchpad software to draw and animate the problems. Full Review »
- Grade Range
- 9th - 12th
- Rating
Students explore how trigonometry is related to triangles. They examine the use of trigonometric functions for sine, cosine, and tangent. Students identify and use formulas for the law of sines and cosines. Full Review »
- Grade Range
- 10th
- Rating
Students apply their knowledge of angles related to a circle, radii, secants, tangents and chords of a circle. They practice using formulas related to a circle. They also apply what has been practiced to real life situations. Full Review »
- Grade Range
- 6th - 8th
- Rating
Students figure out theorems from the textbook. They construct circles and tangents and make conjectures based on their constructions. Students summarize their constructions to the class and explain their outcomes. Full Review »
- Grade Range
- 12th
- Rating
Students recognize the use of the slope of the secant line and connect it with the graph of the secant line, as the secant line approaches the tangent line. They also recognize the two forms of the slope formula used and practice finding the equation of the tangent line. Full Review »
- Grade Range
- 6th - 8th
- Rating
Students examine how tangents to a circle are perpendicular to the radius at the point of tangency. They use the Pythagorean Theorem to solve problems with tangents. Students use a smart board to do various examples and have to find lengths in relation to lines and find if tangents can be equal to circles. Full Review »
- Grade Range
- 10th - 12th
- Rating
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. Full Review »
- Grade Range
- 11th - 12th
- Rating
Students discuss what integrals can be taken that involve secants and tangents. They use a list of ten samples, and discuss each of them. Students use trig substitution using trig identities (tan^2+1=sec^2x and tan^2x=sec^2x-1). They work several examples as a class. Students work sample problems independently. Full Review »
- Grade Range
- 9th - 12th
- Rating
Students practice examining the tangent to a function to estimate the value of the function near the point of tangency. They view errors associated with those approximations, determine overestimates and find intervals that guarantee a specific level of precision. Full Review »
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