G.1: Compute and determine the reasonableness of a result in mathematical and real-world situations with and without technology.

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: Understand relations, functions, and patterns. Analyze change using various geometric properties.

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.

 Circles

G.2.d: Apply the Midpoint and Distance Formulas to solve application problems involving the coordinate plane.

 Circles
 Distance Formula

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: Investigate, apply, and prove properties and theorems from postulates and definitions related to angles, lines, circles, polygons, and two- and three-dimensional figures. Explore applications of patterns and transformational geometry.

G.3.a: Use inductive reasoning to make conjectures and deductive reasoning to make valid conclusions.

 Conditional Statements

G.3.b: Develop and evaluate mathematical arguments and proofs to include paragraph, two-column, and flow chart forms.

 Biconditional Statements

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.

 Adding Vectors
 Vectors

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: Select and apply various strategies, tools, and formulas to calculate length, surface area, volume, and angle measurements.

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

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