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What is Geometry
What is Geometry
What is Geometry?
What is Geometry?
Geometry formalizes and extends students’ geometric experiences from the middle grades. Students explore more complex geometric situations and deepen their explanations of geometric relationships, moving towards formal mathematical arguments. Six critical areas comprise the Geometry course:
Congruence,
Proof and Constructions,
Connecting Algebra and Geometry through Coordinates,
Similarity,
Proof and Trigonometry,
Extending to Three Dimensions, and Circles With and Without Coordinates.
The Mathematical Practice Standards apply throughout each course and, together with the content standards, prescribe that students experience mathematics as a coherent, useful, and logical subject that makes use of their ability to make sense of problem situations.
Unit 1: Congruence
Unit 1: Congruence
Lesson 1.U1-1a: Developing Definitions for Geometric Terms
Lesson 2.U1-1b:Representing Transformations on the Coordinate Plane
Lesson 3. U1-c:Mapping Geometric Figures Using Rigid Motion Transformations
Lesson 4. U1-c:Verifying and Proving Congruence for Triangles and Polygons Using Rigid Motion
Lesson 5. U1-L5:Proving Theorems About Lines, Angles, and Polygons Related to Congruence and Rigid Motion
Lesson 6. U1-L6:Creating Formal Geometric Constructions
Unit 2: Similarity
Unit 2: Similarity
Lesson U2-L1:Representing Dilations on the Coordinate Plane
Lesson U2-L2:Verifying and Proving Similarity for Triangles and Polygons Using Non-Rigid Motion
Lesson U2-L3:Proving Theorems About Triangles Related to Similarity and Non-Rigid Motion
Lesson U2-L4:Explaining and Applying Trigonometric Ratios and Relationships
Lesson U2-L5:Solving Problems Involving Congruence, Similarity, Trigonometry, and the Pythagorean Theorem
Unit 3: Coordinate Geometry and Circles
Unit 3: Coordinate Geometry and Circles
Lesson U3-L1: Proving Relationships and Performing Constructions Involving Circles, Inscription, and Circumscription
Lesson U3-L2: Proving Properties of Circles Using Similarity
Lesson U3-L3:Determining Points, Distances, Perimeters, and Areas Using Coordinate Algebra
Lesson U3-L4:Proving Theorems and Solving Problems Using Coordinate Algebra
Lesson U3-L5:Creating and Applying Equations of Circles
Unit 4: Measurement and Modeling
Unit 4: Measurement and Modeling
Lesson U4-L1: Deriving and Applying Formulas for Area, Circumference, and Volume
Lesson U4-L2: Identifying Cross-Sections and Solids of Revolution
Lesson U4-L3:Solving Problems Using Geometric Modeling
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