Geometry

Coordinate Geometry, Unit 1,  acts as an introduction to high school geometry.   Students explore constructions and the tools of geometry.  They  look at the definitions and properties related to lines, angles, quadrilaterals, and triangles.  Unit 1 does not address triangle congruence or similarity theorems as those are the specific work of Units 2 and 3.  Students began working with transformations in 8th grade as a way to deepen the definition of Congruence from elementary school.  Unit 2 extends their knowledge to transformations with more shapes and then connects congruence proved through transformations to triangle theorems (and formal proofs).  Unit 3 functions much like Unit 2 except that transformations are used to explore Similarity and then prove triangle similarity through formal proofs.  Unit 4, Trigonometry, explores and formalizes the trigonmetic ratios (sine, cosine, tangent) through right triangles, special right triangles, and ultimately all triangles.  Students then engage in problem-solving using trig ratios.  Students began working with Circles in 7th grade.  Unit 5 extends the knowledge of circles to include more complex properties.  Students explore inscribed constructions and then examine circles on the coordinate grid while focusing on their equations.  Unit 6 solidifies students understanding of Two and Three Dimenstional Objects from middle school and extends the slicing of right rectangular prisms and pyramids to Conics.  Students worked with volume in previous grades so the focus here is on modeling and design applications.  Unit 7 extends students' work with basic Probability that began in seventh grade.  In this unit, students explore independent and conditional probability as well as permutations and combinations.