Gizmos for Missouri - Mathematics: Geometry (MO--Learning Standards adopted 2016)

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

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.C.2: : Prove theorems about triangles.

CO.C.3: : Prove theorems about polygons.

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.

C.B: : Find arc lengths and areas of sectors of circles.

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: : 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.

GPE.B: : Use coordinates to prove geometric theorems algebraically.

GPE.B.4: : Use coordinates to compute perimeters of polygons and areas of triangles and rectangles.

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: 9/16/2020

Missouri - Mathematics: Geometry

MO--Learning Standards | Adopted: 2016