In geometry students learn plotting coordinates on graphs by finding the x and y axis. The Law of Sines and Cosines teaches students how to determine measurements of sides and angles within a triangle without having all the data in ambiguous cases. In these mathematical problems students are given various data on a triangle and asked to determine the missing measurements and fill in the blanks. Calculating the area of triangles is explained by using the height and base measurments. Students are also given instruction on the Pythagorean Theorum which finds the measurement of any side of a right triangle using data from the measurements of the given sides (AB^2 + BC^2 = AC^2). Finally, students are also given instruction on distance formulas using coordinates to take measurements and finding angle pair relationships. The following angles are covered in this course : Linear pair, adjacent pair, vertical pair and complimentary.
Algebra 1 & 2:
Algebra 1 consists of linear equations, while Algebra 2 is graphing polynomials. In Algebra students are taught a curriculum based on the New Jersey Common Core State Standards, available on the district website in detail. Due to the large gaps in background knowledge, Great Falls Academy must differentiate instruction in order to provide rigor to students at the current grade level knowlege, as well as conveying the information to those students who have fallen behind. Luckily, the Algebra courses have the luxury of a Resource Teacher for Special Education students to assist in instruction on a daily basis. Teachers work in teams to instruct and assist; giving a lead for students to work from while providing individualized instruction one-on-one to the students who need it most.