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G.CO.C.9

19 Results Found

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7th Grade Math

In this course students develop their skills in proportional reasoning, rational number computation, expressions and equations, geometry, and statistics and probability.

8th Grade Math

Students make several advances in their algebraic reasoning as they solve systems of linear equations, use functions to describe relationships, and analyze two- and three-dimensional figures.

Geometry

Students further their understanding of geometric relationships and learn to make formal mathematical arguments about geometric situations, with a heavy emphasis on transformations and proofs.

Algebra 2

Students develop their conceptual understanding, fluency, and ability to apply advanced functions, draw connections between function types, and build functions that model contextual situations.

10th Grade - Constructions, Proof, and Rigid Motion

Students use the properties of circles to construct and understand different geometric figures, and lay the groundwork for constructing mathematical arguments through proof.

10th Grade - Congruence in Two Dimensions

Students identify, perform, and algebraically describe rigid motions to establish congruence of two dimensional polygons, including triangles, and develop congruence criteria for triangles.

8th Grade - Transformations and Angle Relationships

Students investigate congruence and similarity by studying transformations of figures in the coordinate plane, and apply these transformations to discover new angle relationships.

10th Grade - Dilations and Similarity

Students use constructions to explore dilations in order to define and establish similarity, and they prove and use similarity criterion and theorems in the solution of problems.

10th Grade - Right Triangles and Trigonometry

Students develop an understanding of right triangles through an introduction to trigonometry, building an appreciation for the similarity of triangles as the basis for developing the Pythagorean theorem.

10th Grade - Polygons and Algebraic Relationships

Students connect algebra to geometric concepts with polygons as they explore the distance formula, slope criteria for parallel and perpendicular lines, and learn to calculate and justify the area and perimeter of polygons.

11th Grade - Trigonometric Identities and Equations

Students expand on their knowledge of trigonometry, developing a foundation for calculus concepts by expanding their conception of trigonometric functions and looking at connections between functions.

Geometry - Unit 5: Polygons and Algebraic Relationships - Lesson 7

Algebraically verify midsegment, median, and parallel line relationships in triangles.

Geometry - Unit 1: Constructions, Proof, and Rigid Motion - Lesson 7

Use angle relationships around a point to find missing measures. Prove angle relationships around a point using geometric statements and reasons.

Geometry - Unit 5: Polygons and Algebraic Relationships - Lesson 8

Algebraically verify diagonal relationships in quadrilaterals and parallelograms.

Geometry - Unit 1: Constructions, Proof, and Rigid Motion - Lesson 11

Construct parallel lines. Prove the relationship between corresponding angles. Use this relationship to find missing measures directly and algebraically.

Geometry - Unit 2: Congruence in Two Dimensions - Lesson 11

Prove and apply that the points on a perpendicular bisector of a line segment are exactly those equidistant from the segment's endpoints.

Geometry - Unit 1: Constructions, Proof, and Rigid Motion - Lesson 12

Prove angle relationships in parallel line diagrams.

Geometry - Unit 1: Constructions, Proof, and Rigid Motion - Lesson 13

Construct auxiliary parallel lines and use these in the development of proofs and identification of missing measures.

Geometry - Unit 2: Congruence in Two Dimensions - Lesson 16

Use criteria for triangle congruence to prove relationships among angles and sides in geometric problems.

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