Tenth graders learn how the sine, cosine, and tangent ratios link the angles of a right triangle to its sides, using SOH-CAH-TOA, then match each term to its meaning.
Students will be able to…
Surveyors and builders measure heights and distances they can never reach directly. How do the angles of a right triangle unlock the lengths of its sides?
Project this and match each trig term to what it means — tap a term, then tap its meaning.
Tap any phase to open the teacher moves and student actions.
How can you find the height of a tall tree without climbing it, using only an angle?
Students match each trig term to its meaning.
Students label sides relative to an angle.
Students find a missing side.
Students reflect on SOH-CAH-TOA.
Aligned to the Common Core State Standards for Mathematics (High School Algebra II).
Understand that side ratios in a right triangle are properties of the angles, leading to definitions of trig ratios.
Explain and use the relationship between the sine and cosine of complementary angles.
Use trigonometric ratios and the Pythagorean theorem to solve right triangles in applied problems.
Make sense of problems and persevere in solving them.
Preview the three formative checks. Tap “Sample answer” to see what mastery looks like — hide them before you print for students.
Have students choose a known angle and one side, pick the correct ratio (sine, cosine, or tangent), and solve for a missing side. A printable right-triangle-trig worksheet is in the Mathematics library.
Tap a card to flip it, then rate whether you knew it. Built from this lesson’s vocabulary.
A quick self-check with instant feedback, drawn from this lesson’s key terms.
A print-and-go review sheet with a built-in answer key. Tap “Show answer key” to reveal answers, or print the clean version for students.