Draw a triangle on the overhead and assign values (see below). Have the students label the hypotenuse, adjacent and opposite as we have done before. Now that it is labeled, model how to turn it into a tangent ratio question to find the length of a side. 0.933 = = 10.258 = a Model each of the lines of the question. First, write out the formula. Second, insert the value of the angle beside tangent and the values of the opposite and adjacent into the ratio. Third, using a calculator find the value of tan 43°. Fourth, turn both sides into fractions by putting the value of tan over 1. Finally, use the cross multiply and divide method (connecting to prior knowledge) to isolate the variable (Modeling, using “a”. formulas, interpreting information, teaching abstract concepts using diagrams, solving a math problem using a calculator) Once the question is done, it is important to look to see that the answer makes sense. Does it fit in with the other numbers? (check that the answer makes sense) Has the unit of measurement (meters, feet and kilometers) been added to the answer? In this case there is no unit of measurement in the questions, so the answer doesn’t need one. Have the students try the following practice question and then check with a partner. Review the answer on the overhead after everyone has tried to work it out. Circulate while they are working on the question to intervene with any problems that arise. (Ask students to draw a picture of the problem, ask students to do the math by using paper and pencil and calculator, prompt students to check mathematics) Now that they can find a side, using the same ratio formula show the students how to find an angle. Have the students label the hypotenuse, adjacent and opposite as we have done before. Now that it is labeled, model how to turn it into a tangent ratio question to find an angle (see below).
Draw a triangle on the overhead and assign values (see below). Have the students label the hypotenuse, adjacent and opposite as we have done before. Now that it is labeled, model how to turn it into a tangent ratio question to find the length of a side. 0.933 = = 10.258 = a Model each of the lines of the question. First, write out the formula. Second, insert the value of the angle beside tangent and the values of the opposite and adjacent into the ratio. Third, using a calculator find the value of tan 43°. Fourth, turn both sides into fractions by putting the value of tan over 1. Finally, use the cross multiply and divide method (connecting to prior knowledge) to isolate the variable “a”. (Modeling, using formulas, interpreting information, teaching abstract concepts using diagrams, solving a math problem using a calculator) Once the question is done, it is important to look to see that the answer makes sense. Does it fit in with the other numbers? (check that the answer makes sense) Has the unit of measurement (meters, feet and kilometers) been added to the answer? In this case there is no unit of measurement in the questions, so the answer doesn’t need one. Have the students try the following practice question and then check with a partner. Review the answer on the overhead after everyone has tried to work it out. Circulate while they are working on the question to intervene with any problems that arise. (Ask students to draw a picture of the problem, ask students to do the math by using paper and pencil and calculator, prompt students to check mathematics) Now that they can find a side, using the same ratio formula show the students how to find an angle. Have the students label the hypotenuse, adjacent and opposite as we have done before. Now that it is labeled, model how to turn it into a tangent ratio question to find an angle (see below).
module_6_assignment_-_lesson_part_1.docx