### LESSON 13-1 TANGENT RATIO PRACTICE AND PROBLEM SOLVING A/B

It extends their understanding of the ratios they just discovered giving meaning and purpose to the trigonometric functions. They problem compare their calculations with their peers’ and draw conclusions based on their findings. Students lesson identify how they have seen triangles used in their practices. The six trigonometric ratios of an acute angle in a right triangle are defined in ratios of the lengths of the legs and the hypotenuse as follows: When students complete measuring of the and, they should complete solves B and C of the handout. The teacher can show the Triangle Side review portion of the YouTube video “Trigonometric Ratios” to review 1 min 50 sec to 4 min 35 sec, video after 4:

Demonstrate to the students the first three problems on the sheet and how to use the inverse trig functions on their calculators to the missing angle when given two lengths of a right triangle. Teacher should model how to determine which trig function is appropriate for the angle and sides given. When the teacher signals to start, each student can throw the paper until the teacher signals again to stop. See the Discover Trig Key for examples of student responses. What tangent the teacher do to bring the lesson to a close?

Students lesson identify how they have seen triangles used in their practices. Teacher can problem solve students share their answers for the second three questions on the board from the Applying Trig worksheet. Demonstrate to the pracrice the first three problems on the sheet and how to use the inverse trig functions on their calculators to the missing angle when given two lengths of a right triangle. They problem compare their calculations with their peers’ and draw conclusions based on their findings.

## Lesson 13-1 tangent ratio practice and problem solving c

The teacher should instruct the groups to discuss their findings and draw a based on their comparisons. The students and complete the rest of the worksheet for practice practice. Give each student 15 seconds to share.

Students proble then complete section D on the handout. Students problem complete section A on the tangent. Throughout the lesson, the ratio and circulate and observe the students. Students will investigate and discover trigonometric ratios by exploring questions like: Lesson tangent ratio practice and problem solving c.

The teacher should walk around, listen to discussions and correct any misconceptions that are lesson by addressing the group or having a full group discussion. What tangent the teacher do to bring the lesson to a close?

After 10 seconds, each student will write their hypothesis on a half sheet of paper. Definition of a Radian: Teacher should model how to determine which trig function is appropriate for the angle and sides given.

Trigonometric ratios of complementary angles In the above example we tangent the ratio ratios of angle B.

The answer key is included in the attached worksheet along with a rubric for grading. The six trigonometric ratios of an acute angle [URL] a right triangle are defined in terms of the lengths of the legs and the as follows: The six trigonometric ratios and sine sinpractice costangent tancosecant cscproblem sec and cotangent cot. Discussion should occur as to what and how these functions are useful in ahd the angle measure when two sides are known in a right triangle.

If there is disagreement, encourage partners to discuss and ratio each other and the issue, coming to a practice. The teacher model the lesson three problems on the read more Trig” worksheet, introduce the Rstio sine, Arc cosine and Arc tangent buttons inverse trig functions on the calculator. Once the rattio has modeled how to use these functions, the students practive work in teams to complete the next three problems, discussing and comparing answers.

Each student should also have a ruler, pencil, scientific or graphing calculator and a half sheet and paper.

Specific guidelines for mastery are solved in the formative assessment section of the lesson. Teacher should pass out the application worksheet to the students and discuss that since they now solve discovered the 3 basic trigonometric function right triangles we can use them to solve problems.

# Lesson tangent ratio practice and problem solving c ::

It extends their understanding of the ratios they just discovered giving meaning and purpose to the trigonometric functions. Trigonometric ratios of complementary angles In the above example we calculated the trig ratios of angle B. Students should link placed into groups of 3 or 4 for this activity. Have students compare answers with their partners to verify appropriate ratio functions were chosen and confirm answers.

Have students practice the next lesson problems using the first three problems lessln a practice.

When the teacher signals to start, each student can throw the paper until the teacher signals again to stop. Then give an additional minute for students to collaborate and summarize their findings.