Active Learning Math and Computer Science

Students learn math concepts best when discovering mathematical patterns on their own rather than being told by the teacher. This activity is designed to have the students discover the relationships between the sides of 30-60-90 and 45-45-90 right triangles Students will create and then measure the sides of each type of triangle. Prerequisites 1. Students understand the basic concepts of triangles 2. Students have learned the basics of functions 3. Students are familiar with angles an

This package bundles together the four Trigonometric transformation packages in the store. Students will use an online graphing tool called Desmos to investigate how to change the equations of sinusoidal functions so that the graphs are shifted vertically and horizontally. They will also learn how to change the equations so that the period and amplitude of the graphs are changed This will be an active learning exercise where students will discover patterns for themselves. They will have some pr

Students learn math concepts best when discovering mathematical patterns on their own rather than being told by the teacher. This activity is designed to have the students discover the meaning of a radian by manipulating the central angle of a circle and comparing the length of the radus to the intercepted arc. Students will be using an online visual tool, Desmos, in order to aid them in their discovery. Prerequisites 1. Students understand the basic concepts of circles 2. Students h

Students will use an online graphing tool called Desmos to investigate the changing the amplitude of the graphs of trigonometric functions as the value of A is changed in the functions: y = Asin(x) and y = Acos(x) This will be an active learning exercise where students will discover patterns for themselves. They will have some practice problems as well. Students who discover relationships for themselves have better problem solving skills and they retain the subject matter because it is not a m

Students will use an online graphing tool called Desmos to investigate the vertical transformation of the graphs of trigonometric functions as the value of D is changed in the functions: y = sin(x) + D and y = cos(x) + D. This will be an active learning exercise where students will discover patterns for themselves. They will have some practice problems as well. Students who discover relationships for themselves have better problem solving skills and they retain the subject matter because it is

Students will use an online graphing tool called Desmos to investigate the horizontal shifting of the graphs of trigonometric functions as the value of C is changed in the functions: y = sin(x-C) and y = cos(x-C) This will be an active learning exercise where students will discover patterns for themselves. They will have some practice problems as well. Students who discover relationships for themselves have better problem solving skills and they retain the subject matter because it is not a me

Students will use an online graphing tool called Desmos to investigate the changing the period of the graphs of trigonometric functions as the value of B is changed in the functions: y = sin(Bx) and y = cos(Bx) This will be an active learning exercise where students will discover patterns for themselves. They will have some practice problems as well. Students who discover relationships for themselves have better problem solving skills and they retain the subject matter because it is not a memo

Students learn math concepts best when discovering mathematical patterns on their own rather than being told by the teacher. This activity is designed to have the students discover the shape of sinusoidal functions with the aid of a Ferris Wheel Students will collaborate with each other as they discuss the various patterns involved with the path of a seat on a moving Ferris Wheel Prerequisites 1. Students have learned the basics of functions 2. Students are familiar with domain and

Reference Angles are an important concept that students must learn before they can go on to understanding the unit circle. In this discovery activity students manipulate an online unit circle in order to understand the meaning of reference angles. This is an active learning worksheet where students must discover the information for themselves. Students can do this by themselves or in a cooperative environment.

Students are asked to draw 30-60-90 right triangles and then they explore the relationships of the lengths of the sides. Students hopefully will understand that all 30-60-90 right triangles are similar triangles. This leads to the basic foundation of trigonometric functions. Since this is a discovery exercise students are engaged in active learning techniques which can better help them to understand future work in trigonometry.