High School Geometry

Students construct geometric figures and transformations, and learn about similarity and trigonometric ratios. These lessons come from our complete, standards-aligned math program, Amplify Desmos Math.

Grades: 9th - 11th Grade

• Construction and Rigid Transformation

  Your class will use a variety of construction tools (e.g., compass, straightedge, and dynamic geometry software) to construct precise geometric figures. Students will write and analyze descriptions of constructions, and perform sequences of transformations that will move a figure onto another.

• Transformation Golf: Rigid Motion
• Circles and Segments
• Compass Constructions
• Constructing Digitally
• Right in the Middle
• Lines of Construction
• Square Up
• Community Constructions
• Going Off the Grid, Part 2

• Congruence

  Students use rigid transformations to explore and prove congruent relationships in angles, triangles, and quadrilaterals.

• Is It? Or Is It Not?
• Congruence Conditions
• Let's Go Build a Kite

• Similarity

  Students build on their middle school understanding of dilations to prove when two figures are similar. Students investigate whether two figures are similar and use similarity to determine side lengths and angle measurements. These lessons were recently added in September!

• Shadowy Figures, Part 1
• Shadowy Figures, Part 2
• Similarity Conditions

• Similarity in Right Triangles

  Students 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.

• Cheesy Challenges
• Thwack Attack
• Slides, Swings, and Modeling Things

• Coordinate Geometry

  Students use the coordinate plane to help describe transformations as functions, prove the slope criteria for parallel and perpendicular lines, and explore how to describe circles, parabolas, and polygons.

• Pattern Play
• Lines of Escape
• Clawdine the Crab

• Circles

  Students deepen their understanding of circles through exploring angle relationships, proportions of a circle (arcs and sectors), and inscribing and circumscribing with circles.

• Beetle Races
• Irrigating Areas
• Early Bird Gets the Worm

• Solid Geometry

  Students make sense of relationships between two-dimensional figures and three-dimensional solids by creating nets, identifying cross sections, and rotating figures around an axis.

• Put a Spin On It
• Formula Foundations
• I Can't Believe It's Cake

• Conditional Probability

  Students simulate and collect data, use tree diagrams, two-way tables, and Venn diagrams to represent probability, and investigate the differences between independent and dependent events.

• Take a Chance
• On One Condition
• Counting Everyone, Part 1