#### 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.

#### 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.

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.

#### 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.

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.

G.3.e: Classify triangles and apply postulates and theorems to test for triangle inequality, congruence, and similarity.

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.

#### 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.

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.

G.4.d: Explain and use the properties of 45-45-90 and 30-60-90 triangles.

G.4.e: Apply the relationships of sine, cosine, and tangent to problems involving right triangles.

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.