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1 Pacing Chart Unit Week Day CCSS Standards Objective I Can Statements 121 CCSS.MATH.CONTENT.HSG.C.A.1 Prove that all circles are similar. Prove that all circles are similar. I can prove that all circles are similar. 122 Identify and describe relationships among inscribed angles, radii, and chords. I can Identify and describe relationships among inscribed angles, radii, and chords Include the relationship between central, inscribed, and circumscribed angles Inscribed angles on a diameter are right angles; The radius of a circle is perpendicular to the tangent where the radius intersects the I can Include the relationship between central, inscribed, and circumscribed angles I know that Inscribed angles on a diameter are right angles; I know that radius of a circle is perpendicular to the tangent where the radius intersects the Page 1
2 Pacing Chart 125 Assessment Assessment Assessment 126 CCSS.MATH.CONTENT.HSG.C.A.3 Construct the inscribed and circumscribed circles of a triangle, and prove properties of angles for a quadrilateral Construct the inscribed and circumscribed circles of a triangle I cancconstruct the inscribed and circumscribed circles of a triangle 127 CCSS.MATH.CONTENT.HSG.C.A.4 (+) Construct a tangent line from a point outside a given circle to the Construct a tangent line from a point outside a given circle to the I can construct a tangent line from a point outside a given circle to the 128 CCSS.MATH.CONTENT.HSG.GPE.A.1 Derive the equation of a circle of given center and radius using the Pythagorean Theorem; complete the square to find the center and radius of a circle given by an equation. Derive the equation of a circle of given center and radius using the Pythagorean Theorem I can derive the equation of a circle of given center and radius using the Pythagorean Theorem 129 CCSS.MATH.CONTENT.HSG.GPE.A.1 Derive the equation of a circle of given center and radius using the Pythagorean Theorem; complete the square to find the center and radius of a circle given by an equation. Complete the square to find the center and radius of a circle given by an equation. I can complete the square to find the center and radius of a circle given by an equation. Page 2
3 Pacing Chart 130 Assessment Assessment Assessment 131 CCSS.MATH.CONTENT.HSG.C.A.3 Construct the inscribed and circumscribed circles of a triangle, and prove properties of angles for a quadrilateral Prove properties of angles for a quadrilateral I can prove properties of angles for a quadrilateral 132 Derive using similarity the fact that the length of the arc intercepted by an angle is proportional to the radius, and I can derive using similarity the fact that the length of the arc intercepted by an angle is proportional to the radius, and 133 Define the radian measure of the angle as the constant of proportionality I can define the radian measure of the angle as the constant of proportionality 134 Derive the formula for the area of a sector. I can derive the formula for the area of a sector. Page 3
4 Pacing Chart 135 Assessment Assessment Assessment 136 CCSS.MATH.CONTENT.HSG.GPE.A.2 Derive the equation of a parabola given a focus and directrix. Find the direntrix and the focus of a parabola I can find the direntrix and the focus of a parabola 137 CCSS.MATH.CONTENT.HSG.GPE.A.2 Derive the equation of a parabola given a focus and directrix. Find the equation of the parabola given the direntrix and the focus I can find the equation of the parabola given the direntrix and the focus 138 CCSS.MATH.CONTENT.HSG.GPE.A.3 (+) Derive the equations of ellipses and hyperbolas given the foci, using the fact that the sum or difference of distances from the foci is constant. Derive the equations of ellipses given the foci, using the fact that the sum or difference of distances from the foci is constant. I can derive the equations of ellipses given the foci, using the fact that the sum or difference of distances from the foci is constant. 139 CCSS.MATH.CONTENT.HSG.GPE.A.3 (+) Derive the equations of ellipses and hyperbolas given the foci, using the fact that the sum or difference of distances from the foci is constant. Derive the equations of hyperbolas given the foci, using the fact that the sum or difference of distances from the foci is constant. I can derive the equations of hyperbolas given the foci, using the fact that the sum or difference of distances from the foci is constant. Page 4
5 Pacing Chart 140 Assessment Assessment Assessment Page 5
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