Lesson 3: Review and Assess
Duration of Days: 2
Lesson Objective
Students will demonstrate mastery of solving real-world and mathematical problems involving the volume of cylinders, cones, and spheres and describing the effects of transformations (rotations, reflections, translations, and dilations) on two-dimensional figures.
How do we determine which volume formula to apply when presented with complex, real-world geometric models?
How can a sequence of transformations be used to prove that two figures are either congruent or similar?
What is the relationship between the algebraic coordinate rules and the physical movement of a figure on a plane?
Volume (Cylinder, Cone, Sphere)
Rigid Transformations (Translation, Rotation, Reflection)
Dilation and Scale Factor
Congruence vs. Similarity
Pre-image and Image
8.G.C.9: Know the formulas for the volumes of cones, cylinders, and spheres and use them to solve problems.
8.G.A.1-4: Understand congruence and similarity using physical models, transparencies, or geometry software to verify properties of transformations.
Description: A culminating review and summative assessment covering unit topics.
Purpose: To evaluate student proficiency in applying geometric formulas and transformation rules to solve unstructured problems.
DOK Level: Level 3 (Strategic Thinking) – Students must analyze multi-step problems to determine appropriate geometric strategies and justify their mathematical reasoning.
Volume: Confusing the $1/3$ relationship between cones and cylinders or using the diameter instead of the radius in calculations.
Transformations: Misidentifying the center of rotation or failing to apply the scale factor to all coordinates during a dilation.
Visual Review
Guided Notes
Manipulatives
Unit Assessment