What are the different ways a figure can be transformed? What is the difference between similarity and congruence? In Geometry, students formulate mathematical arguments and create geometric constructions. Working with triangle construction to prove theorems, students employ their reasoning abilities to show similarity and congruence, and use trigonometric ratios to find missing measures in triangles. Solving problems concerning three-dimensional figures gives students the opportunity to examine formulas. Students apply their knowledge of geometric shapes by using measures and properties to describe real-life objects, and connect algebra to geometry by graphing figures on the coordinate plane. Students then move to circles, exploring their properties and theorems. Next is the study of probability, in which students interpret data by using independence and conditional probability, and apply the rules of probability to determine compound events and evaluate outcomes of decisions.
Area and perimeter
Geometric probability Right triangle ratios
Angles of elevation and depression
Laws of sines and cosines
Parts of circles
Surface area and volume
Explain the building blocks of geometry including using definitions and coordinate geometry.
Apply the properties of parallel and perpendicular lines.
Perform geometric constructions.
Identify and apply the properties of circles to a variety of problems.
Solve problems using the properties of triangles. Identify and apply properties of probability to a variety of problems.
Identify and apply the properties of similar polygons and triangles.
Apply area formulas for two- and three-dimensional figures.
Reveal key information in a problem using the volume formulas for three-dimensional figures.
Apply trigonometric functions to solve a variety of problems.