Geometry Dates # of Days Standard Description January 4-8 Pre-Test/Galileo January HS.G.CO.A.01 I will be able to define an angle, circle,
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1 Geometry Dates # of Days Standard Description January 4-8 Pre-Test/Galileo January HS.G.CO.A.01 I will be able to define an angle, circle, perpendicular lines, parallel lines, and line segments using the definition of a point, and the distance along a line and a curve. January HS.G.CO.D.12 I can construct various geometric objects using a variety of tools and methods. January HS.G.GPE.B.05 Using slope, I will be able to algebraically determine if lines are parallel or perpendicular to help me solve geometric problems. January HS.G.CO.C.09 Given parallel lines and a transversal, I will be able to prove theorems such as: alternate interior angles are congruent; vertical angles are congruent; consecutive interior angles are supplementary. January 28 February 1 3 HS.G.CO.A.04 I will develop definitions of transformations using how they relate to angles, circles, perpendicular and parallel lines and line segments. February HS.G.CO.A.05 I will be able to do 2 or more transformations on a figure and be able to compare and contrast the properties of the image with its pre-image. February HS.G.GPE.B.07 I can use coordinates to find the perimeter and area of a polygon. February HS.G.CO.B.08 I can explain how the criteria for triangle congruence follow from the definition of congruence in terms of rigid motions. February HS.G.CO.C.10 I can prove theorems about triangles.
2 February G.SRT.A.01 I can prove the properties of dilations February G.SRT.A.02 Given two figures, I can use the definition of similarity to decide if the two figures are similar; explain using similarity transformations the meaning of similarity for triangles as the equality of all corresponding pairs of angles and the proportionality of all corresponding pairs of sides. February 29 March 4 Mid Term March 7-18 Spring Break March HS.G.SRT.B.04 HS.G.SRT.B.05 I can prove theorems about triangles. Theorems include: a line parallel to one side of a triangle divides the other two proportionally, and conversely; the Pythagorean Theorem proved using triangle similarity. I can use congruence and similarity criteria for triangles to solve problems and prove relationships in geometric figures. March HS.G.SRT.C.06 I can solve problems using sine, cosine, and tangent ratios of the acute angles of a right triangle. * These ratios are the same for the acute angles of similar right triangles. I will also know the reciprocal ratios for sine, cosine, and tangent. March 31 April 4 3 HS.G.SRT.C.08 I can use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems. April HS.G.CO.C.11 I will prove the validity of parallelogram theorems. April HS.G.GPE.B.04 I can use algebra to prove simple geometric theorems. April HS.G.C.A.02 I can identify and describe relationships among inscribed angles, radii, and chords. April HS.G.C.B.05 I can derive and use the formula to find the length of a given arc and the area of a given sector.
3 April HS.G.GPE.A.01 I can write the equation of a circle. I can find the center and the radius of a circle. April 27 May 2 and May 5 5 HS.G.GMD.A.03 I can use volume formulas for cylinders, pyramids, cones and spheres to solve problems. May 3-4 AzMERIT Math May HS.G.MG.A.01 I can model objects using geometric shapes. May HS.G.MG.A.02 I can apply concepts of density based on area and volume to model real world and mathematical problems. May HS.G.MG.A.03 I can apply geometric methods to solve design problems in real world problems. May HS.G.SRT.D.11 I can apply the law of cosines and the law of sines to find missing sides and angles of triangles Additional Standards Listed below May Final/Post
4 Additional Standards Months are based off of what s on BT to give a guide to when they could be taught Month 2 HS.G-CO.A.02. Represent transformations in the plane using, e.g., transparencies and geometry software; describe transformations as functions that take points in the plane as inputs and give other points as outputs. Compare transformations that preserve distance and angle to those that do not (e.g., translation versus horizontal stretch). HS.G-CO.A.03. Given a rectangle, parallelogram, trapezoid, or regular polygons, describe the rotations and reflections that carry it onto itself. Geo.M.G.CO.D.13. Construct an equilateral triangle, a square, and a regular hexagon inscribed in a circle. Month 3 HS.G.GPE.B.06. Find the point on a directed line segment between two given points that partitions the segment into a given ratio. Month 4 HS.G-CO.B.06 Use geometric descriptions of rigid motions to transform figures and to predict the effect of a given rigid motion on a given figure; given two figures, use the definition of congruence in terms of rigid motions to decide if they are congruent. HS.G-CO.B.07 Use the definition of congruence in terms of rigid motions to show that two triangles are congruent if and only if corresponding pairs of sides and corresponding pairs of angles are congruent. HS.G.GPE.B.06. Find the point on a directed line segment between two given points that partitions the segment into a given ratio. Month 5 HS.G-SRT.A.03 Use the properties of similarity transformations to establish the AA criterion for two triangles to be similar. HS.G-SRT.C.07 Explain and use the relationship between the sine and cosine of complementary angles. Month 7
5 HS.G-C.A.01 Prove that all circles are similar. HS.G-C.A.03 Construct the inscribed and circumscribed circles of a triangle, and prove properties of angles for a quadrilateral inscribed in a circle. HS.G C.A.04. Construct a tangent line from a point outside a given circle to the circle. Month 8 HS.G-C.A.01 Prove that all circles are similar. HS.G-C.A.03 Construct the inscribed and circumscribed circles of a triangle, and prove properties of angles for a quadrilateral inscribed in a circle. HS.G C.A.04. Construct a tangent line from a point outside a given circle to the circle. HS.G GMD.A.01. Give an informal argument for the formulas for the circumference of a circle, area of a circle, volume of a cylinder, pyramid, and cone. Use dissection arguments, Cavalieri s principle, and informal limit arguments. Month 9 HS.G-GMD.B.04. Identify the shapes of two-dimensional cross-sections of three-dimensional objects, and identify three-dimensional objects generated by rotations of two-dimensional objects. Month 10 HS.G-GMD.A.02. Give an informal argument using Cavalieri s principle for the formulas for the volume of a sphere and other solid figures. HS.G-GMD.B.04. Identify the shapes of two-dimensional cross-sections of three-dimensional objects, and identify three-dimensional objects generated by rotations of two-dimensional objects. HS.G-SRT.D.09 Derive the formula A = ó ab sin(c) for the area of a triangle by drawing an auxiliary line from a vertex perpendicular to the opposite side.
6 HS.G-SRT.D.10 Prove the Laws of Sines and Cosines and use them to solve problems.
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