MO--Learning Standards

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.

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.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.1: Prove theorems about lines and angles.

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

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.

Circles

Perimeters and Areas of Similar Figures

Similar Figures

Similarity in Right Triangles

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

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

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.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.

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: 1/22/2020