Geometry

In this unit, students will use a variety of tools to construct geometric figures. Students will extend what they learned about rigid transformations by constructing the transformations precisely. 

In this unit, students will use rigid transformations to explore and prove congruent relationships in angles, triangles, and quadrilaterals.

In this unit, students will build on their understanding of dilations to prove when two figures are similar. Students will investigate whether two figures are similar and use similarity to determine side lengths and angle measurements.

In this unit, students will explore relationships between the sides and angles of right triangles to build an understanding of ratios, leading to the naming of sine, cosine, and tangent as trigonometric ratios. They will use similarity to estimate angles and sides using trigonometric ratios before using calculators to support and verify their reasoning. Students will also explore ways to solve design problems and model the world using right triangles. 

In this unit, students will use the coordinate plane to explore and extend their understanding of concepts such as transformations, parallel and perpendicular lines, circles, parabolas, and polygons.

In this unit, students will deepen their understanding of circles, exploring angle relationships, proportions of a circle (arcs and sectors), and inscribing, circumscribing, and modeling with circles. 

In this unit, students will extend their geometric thinking into three-dimensional space to explore a variety of solids (prisms, cylinders, pyramids, and cones). They will also discuss why volume formulas are true for different solids and develop mathematical models of three-dimensional figures.