This course will develop students' computational skills so they feel confident in problem solving. Special emphasis will be placed on reading, understanding, and translating word problems into numerical expressions that can then be solved. Logical and creative reasoning will be celebrated!
Geometry focuses on understanding patterns in shapes and the relationships of side lengths and angle measures. Students will learn how to identify various geometric figures and learn the properties of different shapes, including triangles, quadrilaterals, and circles. An emphasis will be placed on recognizing that complex shapes can be broken down or approximated by simpler shapes.
- Review of geometry terms (point, line, plane, angles)
- Transversals – understand the relationship between the angles formed by a line transversing a set of parallel lines. Understand that the angle relationships found in transversals can determine whether a pair of lines is parallel.
- Show that opposite angles of parallelograms are congruent, and consecutive angles of a parallelogram and supplementary.
- Prove triangle congruence (SAS, SSS, AAS) and triangle similarity (AAA).
- Review of the Pythagorean theorem.
- Leverage triangle similarity to calculate the altitude of a right triangle (right triangle altitude theorem).
- Understand the relationship between the angles of right triangles and the ratios of their sides (sine, cosine, tangent). Understand how to apply sine, cosine, and tangent to find the length of a missing side of a triangle.
- Understand how to apply the inverse sine, cosine, tangent to find a missing angle.
- Learn the properties of quadrilaterals and use those properties to find missing sides and angles.
- Understand the relationship between the measure of a central angle and its intercepted arc.
- Understand the relationship between the measure of an inscribed angle and its intercepted arc.
- Learn the properties of chords, tangents, secants to a circle.
- Discover how to use proportions to find arc length and sector area of a circle.
- Review how to find the perimeter, area, volume and surface area of geometric figures.