Geometry is the branch of mathematics that studies the properties and relationships of points, lines, planes and solids.
Students will start the year with points, lines, planes, segments and angles. We will use the Pythagorean theorem, distance and midpoint formulas. They will learn about vertical angles and linear pairs. We will study parallel lines and the angle relationships of corresponding, alternate interior and exterior, and consecutive interior.
Next we will start to study the first shape - triangles. We will classify them, learn properties about them and learn methods of proving triangles congruent (SSS,SAS,ASA,AAS,HL). We will learn the characteristics of isosceles triangles. We will learn about special parts in triangles - midsegment, perpendicular bisectors, angle bisectors, medians and altitudes. We will then focus on right triangles. We will again study Pythagorean theorem; then study the special right triangles (30-60-90 and 45-45-90). We will learn the trigonometric ratios of sine, cosine and tangent and use to solve right triangles.
We will then study transformations : translations, reflections, rotations and dilations of geometric shapes.
Next we study polygons and learn to classify them, determine interior and exterior angle sums. We will focus next on quadrilaterals and their properties : parallelogram, rectangle, rhombus, square, trapezoid, isosceles trapezoid and kite.
The next unit is on circles. We study the concepts of radius, diameter, circumference, area, chord, secant and tangent of a circle. We learn about major and minor arcs, semicircles, central and inscribed angles.
We will then study calculation of perimeter and area of common geometric shapes including squares, rectangles, triangles and trapezoids. We will also study the surface are and volume of common geometric solids.
To access study guides and notes, please click here. There are also notes attached to assignments in Google Classwork.
Additional Mathematics Resources
Online Graphing Calculator : www.desmos.com
Video tutorials for any math topic from PreAlgebra to Calculus III :
Go to YouTube and search mathispower4u
Go to http://phoenixcollege.edu and search : Math videos
Additional YouTube math tutorials: PatrickJMT and/or ProfRobBob
Got to www.KhanAcademy