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
Constructing Congruent Segments and Angles
Constructing Parallel and Perpendicular Lines
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
Reflections
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
Dilations
Reflections
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
Reflections
Rotations, Reflections, and Translations
Similar Figures
Translations
CO.B.1: Develop the definition of congruence in terms of rigid motions.
Absolute Value with Linear Functions
Circles
Dilations
Holiday Snowflake Designer
Proving Triangles Congruent
Reflections
Rotations, Reflections, and Translations
Similar Figures
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.
Constructing Congruent Segments and Angles
Constructing Parallel and Perpendicular Lines
Segment and Angle Bisectors
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
Dilations
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
Cosine Function
Distance Formula
Pythagorean Theorem
Pythagorean Theorem with a Geoboard
Sine Function
Sine, Cosine, and Tangent Ratios
Tangent Function
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
C.B.1: Derive the formula for the length of an arc of a circle.
C.B.2: Derive the formula for the area of a sector of a circle.
GPE.A.1: Derive the equation of a circle.
Circles
Distance Formula
Pythagorean Theorem
Pythagorean Theorem with a Geoboard
GPE.A.2: Derive the equation of a parabola given a focus and directrix.
GPE.B.4: Use coordinates to compute perimeters of polygons and areas of triangles and rectangles.
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
Probability Simulations
Theoretical and Experimental Probability
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: 9/16/2020