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.

 Circles
 Inscribed Angles
 Parallel, Intersecting, and Skew Lines

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.

 Dilations
 Rotations, Reflections, and Translations
 Translations

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

 Holiday Snowflake Designer

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

 Circles
 Rotations, Reflections, and Translations
 Similar Figures
 Translations

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

 Dilations
 Rotations, Reflections, and Translations
 Translations

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

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

 Dilations
 Rotations, Reflections, and Translations
 Translations

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

 Congruence in Right Triangles
 Constructing Congruent Segments and Angles
 Proving Triangles Congruent

CO.C: Prove geometric theorems.

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

 Investigating Angle Theorems

CO.C.2: Prove theorems about triangles.

 Pythagorean Theorem
 Triangle Angle Sum
 Triangle Inequalities

CO.C.3: Prove theorems about polygons.

 Parallelogram Conditions
 Special Parallelograms

CO.D: Make geometric constructions.

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

 Segment and Angle Bisectors

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.

 Dilations

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

 Circles
 Perimeters and Areas of Similar Figures
 Similar Figures
 Similarity in Right Triangles

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.

 Dilations
 Perimeters and Areas of Similar Figures
 Similarity in Right Triangles

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.

 Cosine Function
 Sine Function
 Sine, Cosine, and Tangent Ratios
 Tangent Function

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

 Cosine Function
 Distance Formula
 Pythagorean Theorem
 Pythagorean Theorem with a Geoboard
 Sine Function
 Sine, Cosine, and Tangent Ratios
 Tangent Function

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.

 Chords and Arcs
 Circumference and Area of Circles
 Inscribed Angles

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.

 Circles

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

 Parabolas

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.

 Circumference and Area of Circles
 Prisms and Cylinders
 Pyramids and Cones

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

 Prisms and Cylinders
 Pyramids and Cones

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.

 Independent and Dependent Events

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

 Independent and Dependent Events
 Theoretical and Experimental Probability

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

 Independent and Dependent Events

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

 Independent and Dependent Events

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

 Binomial Probabilities

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

 Independent and Dependent Events

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

 Binomial Probabilities
 Permutations and Combinations

Correlation last revised: 1/19/2017

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