### CO: Congruence

#### CO.A: Experiment with transformations in the plane.

CO.A.1: Define angle, circle, perpendicular line, parallel line, line segment and ray based on the undefined notions of point, line, distance along a line and distance around a circular arc.

CO.A.2: Represent transformations in the plane, and describe them as functions that take points in the plane as inputs and give other points as outputs.

CO.A.3: Describe the rotational symmetry and lines of symmetry of two-dimensional figures.

CO.A.4: Develop definitions of rotations, reflections and translations in terms of angles, circles, perpendicular lines, parallel lines and line segments.

CO.A.5: Demonstrate the ability to rotate, reflect or translate a figure, and determine a possible sequence of transformations between two congruent figures.

#### CO.B: Understand congruence in terms of rigid motions.

CO.B.1: Develop the definition of congruence in terms of rigid motions.

CO.B.2: Develop the criteria for triangle congruence from the definition of congruence in terms of rigid motions.

#### CO.C: Prove geometric theorems.

CO.C.1: Prove theorems about lines and angles.

#### CO.D: Make geometric constructions.

CO.D.1: Construct geometric figures using various tools and methods.

### SRT: Similarity, Right Triangles, and Trigonometry

#### SRT.A: Understand similarity in terms of similarity transformations.

SRT.A.1: Construct and analyze scale changes of geometric figures.

SRT.A.2: Use the definition of similarity to decide if figures are similar and to solve problems involving similar figures.

#### SRT.B: Prove theorems involving similarity.

SRT.B.1: Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures.

#### SRT.C: Define trigonometric ratios, and solve problems involving right triangles.

SRT.C.1: Understand that side ratios in right triangles define the trigonometric ratios for acute angles.

SRT.C.3: Use trigonometric ratios and the Pythagorean Theorem to solve right triangles.

### C: Circles

#### C.A: Understand and apply theorems about circles.

C.A.2: Identify and describe relationships among inscribed angles, radii and chords of circles.

### GPE: Exploring Geometric Properties with Equations

#### GPE.A: Translate between the geometric description and the equation for a conic section.

GPE.A.1: Derive the equation of a circle.

GPE.A.2: Derive the equation of a parabola given a focus and directrix.

### GMD: Geometric Measurement and Dimension

#### GMD.A: Explain volume formulas and use them to solve problems.

GMD.A.1: Give an informal argument for the formulas for the circumference of a circle, area of a circle, volume of a cylinder, pyramid and cone.

GMD.A.2: Use volume formulas for cylinders, pyramids, cones, spheres and composite figures to solve problems.

### CP: Conditional Probability and Rules of Probability

#### CP.A: Understand independence and conditional probability and use them to interpret data.

CP.A.1: Describe events as subsets of a sample space using characteristics of the outcomes, or as unions, intersections or complements of other events.

CP.A.2: Understand the definition of independent events and use it to solve problems.

CP.A.3: Calculate conditional probabilities of events.

CP.A.5: Recognize and explain the concepts of conditional probability and independence in a context.

CP.A.6: Apply and interpret the Addition Rule for calculating probabilities.

CP.A.7: Apply and interpret the general Multiplication Rule in a uniform probability model.

CP.A.8: Use permutations and combinations to solve problems.

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.