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: 4/4/2018

This correlation lists the recommended Gizmos for this state's curriculum standards. Click any Gizmo title below for more information.