State Frameworks
G.1.c: Solve real-world or application problems that involve square roots and the Pythagorean Theorem.
Circles
Distance Formula
Pythagorean Theorem
Pythagorean Theorem with a Geoboard
Surface and Lateral Areas of Pyramids and Cones
G.2.b: Recognize and write the equation of a circle in standard form (x-h)² + (y-k)² = r² and identify the center and radius.
G.2.d: Apply the Midpoint and Distance Formulas to solve application problems involving the coordinate plane.
G.2.e: Determine the effects of rigid (translations, rotations, and reflections) and nonrigid (dilations) motions and compositions when performed on objects on the coordinate plane.
Dilations
Rotations, Reflections, and Translations
Translations
G.3.a: Use inductive reasoning to make conjectures and deductive reasoning to make valid conclusions.
G.3.b: Develop and evaluate mathematical arguments and proofs to include paragraph, two-column, and flow chart forms.
G.3.d: Use the properties of altitudes, medians, angle bisectors, and perpendicular bisectors of triangles to solve problems.
Concurrent Lines, Medians, and Altitudes
Similarity in Right Triangles
G.3.e: Classify triangles and apply postulates and theorems to test for triangle inequality, congruence, and similarity.
Classifying Triangles
Congruence in Right Triangles
Proving Triangles Congruent
Similar Figures
Triangle Inequalities
G.3.h: Graph a vector and determine the magnitude and direction of a given vector.
G.3.i: Given the pre-image or image, find figures obtained by applying reflections, translations, rotations, and dilations; describe and justify the method used.
Dilations
Holiday Snowflake Designer
Reflections
Rotations, Reflections, and Translations
Similar Figures
Translations
G.4.b: Solve real-world applications and mathematical problems to find missing measurements in right triangles by applying special right triangle relationships, geometric means, or trigonometric functions.
Cosine Function
Geometric Sequences
Sine Function
Sine, Cosine, and Tangent Ratios
Tangent Function
G.4.c: Solve real-world and mathematical problems involving the lateral area, surface area and volume of three-dimensional figures, including prisms, cylinders, cones, pyramids, and spheres.
Prisms and Cylinders
Pyramids and Cones
Surface and Lateral Areas of Prisms and Cylinders
Surface and Lateral Areas of Pyramids and Cones
G.4.d: Explain and use the properties of 45-45-90 and 30-60-90 triangles.
Cosine Function
Sine Function
Tangent Function
G.4.e: Apply the relationships of sine, cosine, and tangent to problems involving right triangles.
Cosine Function
Sine Function
Sine, Cosine, and Tangent Ratios
Sum and Difference Identities for Sine and Cosine
Tangent Function
Correlation last revised: 5/17/2018