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1 | Geometry Scope and Sequence | Ficken Audited 9/24/25 | ||||||||||||||||||||||||
2 | 9th-12th Grade | |||||||||||||||||||||||||
3 | MLS | Item Specifications | Priority Standards | MO LEAP Blocks | MAP/EOC Assessments | |||||||||||||||||||||
4 | Unit 1: | Unit 2: | Unit 3: | Unit 4: | Unit 5: | Unit 6: | Unit 7: | Unit 8: | Unit 9: | |||||||||||||||||
5 | Units 1 & 3 3 weeks Weeks 2 - 4 | Units 4 & 5 5 weeks Weeks 5 -9 | Unit 6 3 weeks Weeks 10 - 12 | Unit 9 3 weeks Weeks 13 - 15 | Unit 8 3 weeks Weeks 1-3 | Unit 10 4 weeks Weeks 4-7 | Unit 11 5 weeks Weeks 8 - 12 | Unit 12 3 weeks Weeks 13-15 | ||||||||||||||||||
6 | Basics of Geometry | Congruent Triangles | Right Triangles | Transformations | Quadrilaterals | Circles | Volume | Probability | ||||||||||||||||||
7 | Parallel & Perpendicular | Relationships w/Triangles | and Trigonometry | and other Polygons | and Surface Area | |||||||||||||||||||||
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9 | I Can Statements | I Can Statements | I Can Statements | I Can Statements | I Can Statements | I Can Statements | I Can Statements | I Can Statements | I Can Statements | |||||||||||||||||
10 | I can construct geometric figures using various tools and methods. (G.CO.D.11) | I can use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures. (G.SRT.B.4) | I can use trigonometric ratios and the Pythagorean Theorem to solve right triangles. (G.SRT.C.7) | I can demonstrate the ability to rotate, reflect, or translate a figure, and determine a possible sequence of transformations between two congruent figures. (G.CO.A.5) | I can prove theorems about polygons. (G.CO.C.10) | I can apply geometric methods to solve design mathematical modeling problems. (G.MG.A.3) | I can understand the definition of independent events and use it to solve problems. (G.CP.A.2) | |||||||||||||||||||
11 | I can use coordinates to prove geometric theorems algebraically. (G.GPE.B.3) | I can develop the definition of congruence in terms of rigid motions. (G.CO.B.6) | I can use volume formulas for cylinders, pyramids, cones, spheres, and composite figures to solve problems. (G.GMD.A.2) | I can recoginze and explain the concepts of conditional probability and independence in a content. (G.CP.A.5) | ||||||||||||||||||||||
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32 | Priority Standards | Priority Standards | Priority Standards | Priority Standards | Priority Standards | Priority Standards | Priority Standards | Priority Standards | Priority Standards | |||||||||||||||||
33 | G.CO.D.11 Construct geometric figures using various tools and methods | G.SRT.B.4 Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures | G.SRT.C.7 Use trigonometric ratios and the Pythagorean Theorem to solve right triangles | G.CO.A.5 Demonstrate the ability to rotate, reflect, or translate a figure, and determine a possible sequence of transformations between two congruent figures | G.CO.C.10 Prove theorems about polygons | G.MG.A.3 Apply geometric methods to solve design mathematical modeling problems | G.CP.A.2 Understand the definition of independent events and use it to solve problems | |||||||||||||||||||
34 | G.GPE.B.3 Use coordinates to prove geometric theorems algebraically | G.CO.B.6 Develop the definition of congruence in terms of rigid motions | G.GMD.A.2 Use volume formulas for cylinders, pyramids, cones, spheres, and composite figures to solve problems | G.CP.A.5 Recognize and explain the concepts of conditional probability and independence in a content | ||||||||||||||||||||||
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38 | Supporting Standards | Supporting Standards | Supporting Standards | Supporting Standards | Supporting Standards | Supporting Standards | Supporting Standards | Supporting Standards | Supporting Standards | |||||||||||||||||
39 | G.GPE.B.4 Prove the slope criteria for parallel and perpendicular lines and use them to solve problems | G.CO.C.9 Prove theorems about triangles | G.CO.B.7 Develop the criteria for triangle congruence from the definition of congruence in terms of rigid motion | G.C.A.1 Prove that all circles are similar using similarity transformations | G.GMD.B.3 Identify the shapes of two-dimensional cross-sections of three-dimensional objects | G.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 | ||||||||||||||||||||
40 | G.GPE.B.5 Find the point on a directed line segment between two given points that partitions the segment in a given ratio | G.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 | G.C.A.2 Identify and describe relationships among inscribed angles, radii, and chords of circles | G.GMD.B.4 Identify three-dimensional objects generated by transformations of two-dimensional objects | G.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 | |||||||||||||||||||||
41 | G.GPE.B.6 Use coordinates to compute perimeters of polygons and areas of triangles and rectangles | G.CO.A.3 Describe the rotational symmetry and lines of symmetry of two-dimensional figures | G.C.A.3 Construct the inscribed and circumscribed circles of a triangle, and prove properties of angles for a quadrilateral inscribed in a circle | G.MG.A.1 Use geometric shapes, their measures, and their properties to describe objects | G.CP.A.3 Calculate conditional probabilities of events | |||||||||||||||||||||
42 | G.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 | G.CO.A.4 Develop definitions of rotations, reflections, and translations in terms of angles, circles, perpendicular lines, parallel lines, and line segments | G.C.B.4 Derive the formula for the length of an arc of a circle | G.MG.A.2 Apply concepts of density based on area and volume in modeling situations | G.CP.A.4 Construct and interpret two-way frequency tables of data when two categories are associated with each object being classified; use the two-way table as a sample space to decide if events are independent and to approximate conditional probabilities | |||||||||||||||||||||
43 | G.CO.C.8 Prove theorems about lines and angles | G.C.B.5 Derive the formula for the area of a sector of a circle | G.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 | G.CP.A.6 Apply and interpret the Addition Rule for calculating probabilities | ||||||||||||||||||||||
44 | G.GPE.A.1 Derive the equation of a circle | G.CP.A.7 Apply and interpret the general Multiplication Rule in a uniform probability model | ||||||||||||||||||||||||
45 | G.GPE.A.2 Derive the equation of a parabola given a focus and directrix | G.CP.A.8 Use permutations and combinations to solve problems | ||||||||||||||||||||||||
46 | G.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 | |||||||||||||||||||||||||
47 | Important Links and Resources | Important Links and Resources | Important Links and Resources | Important Links and Resources | Important Links and Resources | |||||||||||||||||||||
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