Geometry_Honors_Pacing_Guide.docx



Chapter 1 - Essentials of Geometry

Start Date – 8/19/14

End Date – 08/29/14

|Section Number and |Standards |Learning Target |Instructional Time Frame|Additional Resources |

|Topic | | | | |

| | |Introduction/Syllabus |1 Day | |

|1.1 Identifying Points,|MAFS.912.G.CO.1 |Name and sketch geometric figures. |1 Day |Parallel, |

|Lines, and Planes | |Know precise definitions of angle, | |Intersecting, and |

| | |circle, perpendicular line, parallel | |Skew Lines |

| | |line, and line segment, based on the | | |

| | |undefined notions of point, line, | | |

| | |distance along a line, and distance | | |

| | |around a circle arc. | | |

|1.2 Use Segments and |MAFS.912.G.CO.1 |Will use segment postulates to identify|1 Day |Constructing |

|Congruence | |congruent segments. | |Congruent Segments |

| | |Know precise definitions of angle, | |and Angles |

| | |circle, perpendicular line, parallel | | |

| | |line, and line segment, based on the | | |

| | |undefined notions of point, line, | | |

| | |distance along a line, and distance | | |

| | |around a circle arc. | | |

|1.3 Use Distance and |MAFS. 912.G.GPE.7 |Will find lengths of segments in the |1 Day |Distance Formula - |

|Midpoint Formulas | |coordinate plane. | |Activity A |

| | |Use coordinates to compute perimeters | | |

| | |of polygons and areas of triangles and | | |

| | |rectangles, e.g., using the distance | | |

| | |formula. | | |

|1.4 Measure and |MAFS.912.G.CO.1 |Will name, measure, and classify |1 Day | Constructing |

|Classify Angles | |angles. | |Congruent Segments |

| | |Know precise definitions of angle, | |and Angles |

| | |circle, perpendicular line, parallel | | |

| | |line, and line segment, based on the | | |

| | |undefined notions of point, line, | | |

| | |distance along a line, and distance | | |

| | |around a circle arc. | | |

|1.5 Describe Angle Pair|MAFS.912.G.CO.1 |Will use special angle relationships to|1 Day |Investigating Angle |

|Relationship | |find angle measures. | |Theorems - Activity B|

| | |Know precise definitions of angle, | | |

| | |circle, perpendicular line, parallel | | |

| | |line, and line segment, based on the | | |

| | |undefined notions of point, line, | | |

| | |distance along a line, and distance | | |

| | |around a circle arc. | | |

|1.6 Classify Polygons |MAFS.912.G.MG.1 |Will classify polygons. |1 Day |Polygon Angle Sum |

| | |Use geometric shapes, their measures, | | |

| | |and their properties to describe | |Classifying Triangles|

| | |objects (e.g., modeling a tree trunk or| | |

| | |a human torso as a cylinder.) | |Classifying |

| | | | |Quadrilaterals - |

| | | | |Activity B |

|Chapter Test | | |1 Day | |

| | |Total |8 Days | |

Chapter 2 - Reasoning and Proof

Start Date – XX/XX/14

End Date – XX/XX/14

|Section Number and |Standards |Learning Target |Instructional Time |Additional Resources |

|Topic | | |Frame | |

|2.1 Use Inductive |SMP3 |Will describe patterns and use inductive |1 Day | |

|Reasoning | |reasoning. | | |

| | |Construct viable arguments and critique | | |

| | |the reasoning of others. | | |

|2.2 Analyze Conditional|SMP3 |Will write definitions as conditional |2 Days |Conditional |

|Statements | |statements. | |Statements |

| | |Construct viable arguments and critique | | |

| | |the reasoning of others. | | |

|2.3 Apply Deductive |SMP3 |Will use deductive reasoning to form a |2 Days | |

|Reasoning | |logical argument. | | |

| | |Construct viable arguments and critique | | |

| | |the reasoning of others. | | |

|2.4 Use Postulates and |MAFS.912.G.CO.9 |Will use postulates involving points, |1 Day | |

|Diagrams | |lines, and planes. | | |

| | |Prove theorems about lines and angles. | | |

|Quiz | | |1 Day | |

|2.5 Reason Using |MAFS.912.G.REI.1 |Will use algebraic properties in logical |2 Days | |

|Properties from Algebra| |arguments too. | | |

| | |Explain each step in solving a simple | | |

| | |equation as following from the equality of| | |

| | |numbers asserted at the previous step, | | |

| | |starting from the assumption that the | | |

| | |original equation has a solution. | | |

| | |Construct a viable argument to justify a | | |

| | |solution method. | | |

|2.6 Prove Statements |MAFS.912.G.CO.9 |Will write proofs using geometric |1.5 Days | |

|about Segments and | |theorems. | | |

|Angles | |Prove theorems about lines and angles. | | |

|2.7 Prove Angle Pair |MAFS.912.G.CO.9 |Will use properties of special pairs of |2 Days |Investigating Angle |

|Relationships | |angles. | |Theorems - Activity B|

| | |Prove theorems about lines and angles. | | |

|Test | | |1 Day | |

Chapter 3 - Parallel and Perpendicular Lines

Start Date – XX/XX/14

End Date – XX/XX/14

|Section Number and Topic |Standards |Learning Target |Instructional Time |Additional Resources |

| | | |Frame | |

|3.1 Identify Pairs of Lines and|MAFS.912.G.CO.1 |Will identify angle pairs formed by three|1 Day |Constructing Congruent Segments |

|Angles | |intersecting lines. | |and Angles |

| | |Know precise definitions of angle, | | |

| | |circle, perpendicular line, parallel | | |

| | |line, and line segment, based on the | | |

| | |undefined notions of point, line, | | |

| | |distance along a line, and distance | | |

| | |around a circle arc. | | |

|3.2 Use Parallel Lines and |MAFS.912.G.CO.9 |Will use angles formed by parallel lines |2 Days |Parallel, Intersecting, and Skew|

|Transversals | |and transversals. | |Lines |

| | |Prove theorems about lines and angles. | | |

|3.3 Prove Lines Parallel |MAFS.912.G.CO.9 |Will use angle relationships to prove |2 Days | |

| | |that lines are parallel. | |Constructing Parallel and |

| | |Prove theorems about lines and angles. | |Perpendicular Lines |

|Quiz | | |1 Day | |

|3.4 Find and Use Slopes of |MAFS.912.G.GPE.5 |Will find and compare slopes of lines. |2 Days |Slope - Activity B |

|Lines | |Prove the slope criteria for parallel and| | |

| | |perpendicular lines and use them to solve| | |

| | |geometric problems (e.g., find the | | |

| | |equation of a line parallel or | | |

| | |perpendicular to a given line that passes| | |

| | |through a given point). | | |

|3.5 Write and Graph Equations |MAFS.912.G.GPE.5 |Will find equations of lines. |2 Days | |

|of Lines | |Prove the slope criteria for parallel and| | |

| | |perpendicular lines and use them to solve| | |

| | |geometric problems (e.g., find the | | |

| | |equation of a line parallel or | | |

| | |perpendicular to a given line that passes| | |

| | |through a given point). | | |

|3.6 Prove Theorems about |MAFS.912.G.CO.9 |Will find the distance between a point |2 Days | |

|Perpendicular Lines | |and a line. | | |

| | |Prove theorems about lines and angles. | | |

|Test | | |1 Day | |

Chapter 4 - Congruent Triangles

Start Date – XX/XX/14

End Date – XX/XX/14

|Section Number and Topic |Standards |Learning Target |Instructional Time |Additional |

| | | |Frame |Resources |

| 4.1 Apply Triangle Sum Properties |MAFS.912.CO.10 |Will classify triangles and find | 1 Day |Classifying |

| | |measures of their angles. | |Triangles |

| | |Prove theorems about triangles. | | |

|4.2 Apply Congruence and Triangles |MAFS.912.CO.7 |Will identify congruent figures. |2 Days |Proving Triangles |

| | |Use the definition of congruence in | |Congruent |

| | |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. | | |

|4.3 Relate Transformations and |MAFS.912.CO.6 |Will use transformations to show |1 Day |Reflections |

|Congruence | |congruence. | | |

| | |Use geometric descriptions of rigid | |Rotations, |

| | |motions to transform figures and to | |Reflections and |

| | |predict the effect of a given rigid | |Translations |

| | |motion on a given figure; given two | | |

| | |figures, use the definition of | |Translations |

| | |congruence in terms of rigid motions | | |

| | |to decide if they are congruent. | | |

|4.4 Prove Triangles Congruent by SSS |MAFS.912.CO.8 |Will use the side lengths to prove |1.5 Days |Proving Triangles |

| | |triangles are congruent. | |Congruent |

| | |Explain how the criteria for triangle| | |

| | |congruence (ASA, SAS, and SSS) follow| | |

| | |from the definition of congruence in | | |

| | |terms of rigid motions. | | |

|Quiz | | |1Day | |

|4.5 Prove Triangles Congruent by SAS |MAFS.912.CO.8 |Will use sides and angles to prove |1.5 Days |Proving Triangles |

|and HL | |congruence. | |Congruent |

| | |Explain how the criteria for triangle| | |

| | |congruence (ASA, SAS, and SSS) follow| | |

| | |from the definition of congruence in | | |

| | |terms of rigid motions. | | |

|4.6 Prove Triangles Congruent by ASA |MAFS.912.CO.8 |Will use two more methods to prove |1.5 Days |Proving Triangles |

|and AAS | |congruences. | |Congruent |

| | |Explain how the criteria for triangle| | |

| | |congruence (ASA, SAS, and SSS) follow| | |

| | |from the definition of congruence in | | |

| | |terms of rigid motions. | | |

| 4.7 Use Congruent Triangles |MAFS.912.CO.10 | Will use congruent triangles to | 2 Days | |

| | |prove corresponding parts congruent. | | |

| | |Prove theorems about triangles. | | |

| 4.8 Use Isosceles and Equilateral |MAFS.912.CO.10 |Will use theorems about isosceles and| 2 Days | |

|Triangles | |equilateral triangles. | | |

| | |Prove theorems about triangles. | | |

| 4.9 Perform Congruence |MAFS.912.CO.2 |Will create an image congruent to a | 1.5 Days | Dilations |

|Transformations | |given triangle, | | |

| | |Represent transformations in the | |Reflections |

| | |plane using, e.g., transparencies and| | |

| | |geometry software; describe | |Rotations, |

| | |transformations as functions that | |Reflections and |

| | |take points in the plane as inputs | |Translations |

| | |and give other points as outputs. | | |

| | |Compare transformations that preserve| |Translations |

| | |distance and angle to those that do | | |

| | |not (e.g., translation versus | | |

| | |horizontal stretch). | | |

|Test | | |1 Day | |

Chapter 5 - Relationships within Triangles

Start Date – XX/XX/14

End Date – XX/XX/14

|Section Number and Topic |Standards |Learning Target |Instructional Time |Additional Resources |

| | | |Frame | |

| 5.1 Midsegment Theorem and |MAFS.912.G.GPE.4 |Will use properties of midsegments|2 Days | |

|Coordinate Proof | |and write coordinate proofs. | | |

| | |Use coordinates to prove simple | | |

| | |geometric theorems algebraically. | | |

|5.2 Use Perpendicular Bisectors |MAFS.912.G.CO.4 |Will use perpendicular bisectors |2 Days |Concurrent Lines, |

| | |to solve problems. | |Medians, and |

| | |Prove theorems about lines and | |Altitudes |

| | |angles. | | |

|5.3 Use Angle Bisectors of |MAFS.912.G..C.3 |Will use angle bisectors to find |2 Days |Concurrent Lines, |

|Triangles | |distance relationships. | |Medians, and |

| | |Construct the inscribed and | |Altitudes |

| | |circumscribed circles of a | | |

| | |triangle, and prove properties of | | |

| | |angles for a quadrilateral | | |

| | |inscribed in a circle. | | |

| 5.4 Use Medians and Altitudes |MAFS.912.G.CO.10 |Will use medians and altitudes of |1.5 Day | |

| | |triangles. | | |

| | |Prove theorems about triangles. | | |

|Review | | |0.5 Day | |

|Quiz | | |1 Day | |

| 5.5 Use Inequalities in a Triangle|MAFS.912.G.CO.10 |Will find possible side lengths of|1 Day |Triangle Inequalities|

| | |a triangle. | | |

| | |Prove theorems about triangles. | | |

| 5.6 Inequalities in Two Triangles |MAFS.912.G.CO.10 |Will use inequalities to make |1 Day | |

| | |comparisons in two triangles. | | |

| | |Prove theorems about triangles. | | |

|Test | | |1 Day | |

Chapter 6 - Similarity

Start Date –

End Date –

|Section Number and Topic |Standards |Learning Target |Instructional Time |Additional |

| | | |Frame |Resources |

| 6.1 Use Similar Polygons |MAFS.912.G.SRT.5 |Will use proportions to identify | 2 Days | |

| | |similar polygons. | | |

| 6.2 Relate Transformations and |MAFS.912.G.SRT.2 |Will identify similarity |2 Days | |

|Similarity | |transformations called dilations. | | |

| | |Given two figures, use the | | |

| | |definition of similarity in terms | | |

| | |of similarity transformations to | | |

| | |decide if they 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. | | |

| 6.3 Prove Triangles Similar by AA |MAFS.912.G.SRT.3 |Will use the AA Similarity | 1 Day |Proving Triangles |

| | |Postulate | |Congruent |

| | |Use the properties of similarity | | |

| | |transformations to establish the | | |

| | |AA criterion for two triangles to | | |

| | |be similar. | | |

| 6.4 Prove Triangles Similar by SSS|MAFS.912.G.SRT.4 |Will use the SSS and SAS | 1. Day | Proving Triangles |

|and SAS | |Similarity Theorems. | |Congruent |

| | |Prove theorems about triangles. | | |

|Quiz | | |1 Day | |

|6.5 Use Proportionality Theorems |MAFS.912.G.SRT.4 |Will use proportions with a |1 Day | |

| | |triangle or parallel lines. | | |

| | |Prove theorems about triangles. | | |

|6.6 Perform Similarity |MAFS.912.G.CO.2 |Will perform dilations. |1 Day |Dilations |

|Transformations | |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 point as outputs. | | |

| | |Compare transformations that | | |

| | |preserve distance and angle to | | |

| | |those that do not (e.g., | | |

| | |translation versus horizontal | | |

| | |stretch). | | |

|Review | | |1 Day | |

|Test | | |1 Day | |

|Midterm exam | | |1 Day | |

Chapter 7 - Right Triangles and Trigonometry

Start Date –

End Date –

|Section Number and Topic |Standards |Learning Target |Instructional Time |Additional |

| | | |Frame |Resources |

| 7.1 Apply the Pythagorean Theorem |MAFS.912.G.SRT.8 |Will find side lengths in right | .5 Day | Pythagorean |

| | |triangles. | |Theorem - Activity|

| | |Use trigonometric ratios and the| |B |

| | |Pythagorean Theorem to solve | | |

| | |right triangles in applied | |Distance Formula -|

| | |problems. | |Activity A |

| 7.2 Use the Converse of the |MAFS.912.G.SRT.8 |Will use its converse to | .5 Day | Pythagorean |

|Pythagorean Theorem | |determine if a triangle is a | |Theorem - Activity|

| | |right triangle. | |B |

| | |Use trigonometric ratios and the| | |

| | |Pythagorean Theorem in applied | | |

| | |problems. | | |

| 7.3 Use Similar Right Triangles |MAFS.912.G.SRT.5 |Will use properties of the | 1 Day | Similarity in |

| | |altitude of a right triangle. | |Right Triangles |

| | |Use congruence and similarity | | |

| | |criteria for triangles to solve | | |

| | |problems and prove relationship | | |

| | |in geometric figures. | | |

| 7.4 Special Right Triangles |MAFS.912.G.SRT.6 |Will use the relationships among| 1.5 Days | |

| | |the sides in special right | | |

| | |triangles. | | |

| | |Understand that by similarity, | | |

| | |side ratios in right triangles | | |

| | |are properties of the angles in | | |

| | |the triangle, leading to | | |

| | |definitions of trigonometric | | |

| | |ratios for acute angles. | | |

|7.5 Apply the Tangent Ratio |MAFS.912.G.SRT.8 |Will use the tangent ratio for |1.5 Days | |

| | |indirect measurement. | |Tangent Ratio |

| | |Use trigonometric ratios and the| | |

| | |Pythagorean Theorem to solve | | |

| | |right triangles in applied | | |

| | |problems. | | |

|7.6 Apply the Sine and Cosine |MAFS.912.G.SRT.8 |Will use the sine and cosine |1.5 Days |Sine, Cosine, and |

|Ratios | |ratios. | |Tangent Ratios |

| | |Use trigonometric ratios and the| | |

| | |Pythagorean Theorem to solve | | |

| | |right triangles in applied | | |

| | |problems. | | |

|7.7 Solve Right Triangles |MAFS.912.G.SRT.8 |Will use inverse tangent, sine, |1.5 Day |Distance Formula -|

| | |and cosine ratios. | |Activity A |

| | |Use trigonometric ratios and the| | |

| | |Pythagorean Theorem to solve | |Pythagorean |

| | |right triangles in applied | |Theorem - Activity|

| | |problems. | |B |

| | | | | |

| | | | |Pythagorean |

| | | | |Theorem with a |

| | | | |Geoboard |

| | | | | |

| | | | |Sine and Cosine |

| | | | |Ratios - Activity |

| | | | |A |

| | | | | |

| | | | |Tangent Ratio |

Chapter 8 - Quadrilaterals

Start Date –

End Date –

|Section Number and Topic |Standards |Learning Target |Instructional Time |Additional Resources |

| | | |Frame | |

| 8.1 Find Angles Measure in |MAFS.912.G.MG.1 |Will find angle measures in | 1 Day | |

|Polygons | |polygons. | | |

| | |Use geometric shapes, their | | |

| | |measure, and their properties to | | |

| | |describe objects (e.g., modeling a | | |

| | |tree trunk or a human torso as a | | |

| | |cylinder). | | |

| 8.2. Use Properties of |MAFS.912.G.CO.11 |Will find angle and side measures | 1 Day | Parallelogram Conditions |

|Parallelograms | |in parallelograms. | | |

| | |Prove theorems about | |Special Parallelograms |

| | |parallelograms. | | |

| 8.3 Show that a Quadrilateral is a|MAFS.912.G.CO.11 |Will use properties to identify | 1 Day | Parallelogram Conditions |

|Parallelogram | |parallelograms. | | |

| | |Prove theorems about | | |

| | |parallelograms. | | |

| 8.4 Properties of Rhombuses, |MAFS.912.G.CO.11 |Will use properties of rhombuses, | 1 Day | Special Parallelograms |

|Rectangles, and Squares | |rectangles, and squares. | | |

| | |Prove theorems about | | |

| | |parallelograms. | | |

|8.5 Use Properties of Trapezoids |MAFS.912.G.SRT.5 |Will use properties of trapezoids |1 Day |Special Parallelograms |

|and Kites | |and kites. | | |

| | |Use congruence and similarity | | |

| | |criteria for triangles to solve | | |

| | |problems and prove relationship in | | |

| | |geometric figures. | | |

|8.6 Identify Special Quadrilaterals|MAFS.912.G.CO.11 |Will identify special |1 Day | |

| | |quadrilaterals. | | |

| | |Prove theorems about | | |

| | |parallelograms. | | |

Chapter 9 - Properties of Transformations

Start Date –

End Date –

|Section Number and Topic |Standards |Learning Target |Instructional Time |Additional Resources |

| | | |Frame | |

| 9.1 Translate Figures and Use |MAFS.912.G.CO.5 |Will use a vector to translate a | 1 Day | Reflections |

|Vectors | |figure. | | |

| | |Given a geometric figure and a | |Rotations, Reflections and |

| | |rotation, reflection, or | |Translations |

| | |translation, draw the transformed| | |

| | |figure using e.g., graph paper, | |Translations |

| | |tracing paper, or geometry | | |

| | |software. Specify a sequence of | | |

| | |transformations that will carry a| | |

| | |given figure onto another. | | |

|9.2 Use Properties of Matrices |MAFS.912.N.VM.8(+) |Will perform translations using |1.5 Days |Dilations |

| | |matrix operations. | | |

| | |Add, subtract, and multiply | |Translations |

| | |matrices of appropriate | | |

| | |dimensions. | | |

|9.3 Perform Reflections |MAFS.912.G.CO.5 |Will reflect a figure in any |1.5 Days |Reflections |

| | |given line. | | |

| | |Given a geometric figure and a | |Rotations, Reflections and |

| | |rotation, reflection, or | |Translations |

| | |translation, draw the transformed| | |

| | |figure using e.g., graph paper, | | |

| | |tracing paper, or geometry | | |

| | |software. Specify a sequence of | | |

| | |transformations that will carry a| | |

| | |given figure onto another. | | |

|9.4 Perform Rotations |MAFS.912.G.CO.5 |Will rotate figures about a |1.5 Days |Rotations, Reflections and |

| | |point. | |Translations |

| | |Given a geometric figure and a | | |

| | |rotation, reflection, or | | |

| | |translation, draw the transformed| | |

| | |figure using e.g., graph paper, | | |

| | |tracing paper, or geometry | | |

| | |software. Specify a sequence of | | |

| | |transformations that will carry a| | |

| | |given figure onto another. | | |

| 9.5 Apply Compositions of |MAFS.912.G.CO.5 |Will perform combinations of two |1.5 Days | |

|Transformations | |or more transformations. | | |

| | |Given a geometric figure and a | | |

| | |rotation, reflection, or | | |

| | |translation, draw the transformed| | |

| | |figure using e.g., graph paper, | | |

| | |tracing paper, or geometry | | |

| | |software. Specify a sequence of | | |

| | |transformations that will carry a| | |

| | |given figure onto another. | | |

| 9.6 Identify Symmetry |MAFS.912.G.CO.3 |Will identify line and rotational| 1 Day | |

| | |symmetries of a figure. | | |

| | |Given a geometric figure and a | | |

| | |rotation, reflection, or | | |

| | |translation, draw the transformed| | |

| | |figure using e.g., graph paper, | | |

| | |tracing paper, or geometry | | |

| | |software. Specify a sequence of | | |

| | |transformations that will carry a| | |

| | |given figure onto another. | | |

| 9.7 Identify and Perform Dilations|MAFS.912.G.SRT.1 |Will use drawing tools and | 1 Day | Dilations |

| | |matrices to draw dilations. | | |

| | |Verify experimentally the | | |

| | |properties of dilations given by | | |

| | |a center and a scale factor; a. A| | |

| | |dilation takes a line not passing| | |

| | |through the center of the | | |

| | |dilation to a parallel line, and | | |

| | |leaves a line passing through the| | |

| | |center unchanged. b. The dilation| | |

| | |of a line segment is longer or | | |

| | |shorter in the ratio given by the| | |

| | |scale factor. | | |

Chapter 10 - Properties of Circles

Start Date –

End Date –

|Section Number and Topic |Standards |Learning Target |Instructional Time |Additional |

| | | |Frame |Resources |

| 10.1 Use Properties of Tangents |MAFS.912.G.CO.1 | Will use properties of a tangent to| 1.5 Days | |

| | |a circle. | | |

| | |Know precise definition of angle, | | |

| | |circle, perpendicular line, parallel| | |

| | |line, and line segment, based on the| | |

| | |undefined notions of point, line, | | |

| | |distance along a line, and distance | | |

| | |around a circular arc. | | |

| 10.2 Find Arc Measures |MAFS.912.G.CO.1 |Will use angle measures to find arc | 1 Day | Chords and Arcs |

| | |measures. | | |

| | |Know precise definition of angle, | | |

| | |circle, perpendicular line, parallel| | |

| | |line, and line segment, based on the| | |

| | |undefined notions of point, line, | | |

| | |distance along a line, and distance | | |

| | |around a circular arc. | | |

| 10.3 Apply Properties of Chords |MAFS.912.G.C.2 |Will use relationships of arcs and | 1.5 Days | Chords and Arcs |

| | |chords in a circle. | | |

| | |Identify and describe relationships | | |

| | |among inscribed angles, radii, and | | |

| | |chords. | | |

| 10.4 Use Inscribed Angles and |MAFS.912.G.C.3 |Will use inscribed angles of | 1.5 Days | Inscribed Angles |

|Polygons | |circles. | | |

| | |Construct the inscribed and | | |

| | |circumscribed circles of a triangle,| | |

| | |and prove properties of angles for a| | |

| | |quadrilateral inscribed in a circle.| | |

|10.5 Apply Other Angles |MAFS.912.G.C.2 |Will find the measures of angles |1.5 Day | |

|Relationships in Circles | |inside or outside a circle. | | |

| | |Identify and describe relationships | | |

| | |among inscribed angles, radii, and | | |

| | |chords. | | |

|10.6 Find Segment Lengths in |MAFS.912.G.C.2 |Will find segment lengths in |1 5 Days | |

|Circles | |circles. | | |

| | |Identify and describe relationships | | |

| | |among inscribed angles, radii, and | | |

| | |chords. | | |

|10.7 Write and Graph Equations of |MAFS.912.G.GPE.1 |Will write equations of circles in |1 Day |Circles |

|Circles | |the coordinate plane. | | |

| | |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. | | |

Chapter 11 - Measurements of Figures and Solids

Start Date –

End Date –

|Section Number and Topic |Standards |Learning Target |Instructional Time |Additional Resources |

| | | |Frame | |

| 11.1 Circumference and Arc |MAFS.912.G.C.5 |Will find arc lengths and other | 1 Day | Circles: Circumference and |

| | |measures. | |Area |

| | |Derive using similarity the fact | | |

| | |that the length of the arc | | |

| | |intercepted by an angle is | | |

| | |proportional to the radius, and | | |

| | |define the radian measure of the | | |

| | |angle as the constant of | | |

| | |proportionality; derive the formula| | |

| | |for the area of a sector. | | |

| 11.2 Areas of Circles and Sectors |MAFS.912.G.C.5 |Will find the areas of circles and | 1 Day | Circles: Circumference and |

| | |sectors. | |Area |

| | |Derive using similarity the fact | | |

| | |that the length of the arc | | |

| | |intercepted by an angle is | | |

| | |proportional to the radius, and | | |

| | |define the radian measure of the | | |

| | |angle as the constant of | | |

| | |proportionality; derive the formula| | |

| | |for the area of a sector. | | |

| 11.3 Areas of Regular Polygons |MAFS.912.G.SRT.8 |Will find areas of regular polygons| 1 Day | |

| | |inscribed in circles. | | |

| | |Use trigonometric ratios and the | | |

| | |Pythagorean Theorem to solve right | | |

| | |triangles in applied problems. | | |

| 11.4 Use Geometric Probability |SMP 4 |Will use lengths and areas to find | 1 Day | Geometric Probability - |

| | |geometric probabilities. | |Activity A |

| | |Model with mathematics | | |

|11.5 Explore Solids |MAFS.912.G.GMD.4 |Will identify solids. |1 Day | |

| | |Identify the shapes of | | |

| | |two-dimensional cross-sections of | | |

| | |three-dimensional objects, and | | |

| | |identify three-dimensional objects | | |

| | |generated by rotations of | | |

| | |two-dimensional objects. | | |

|11.6 Volume of Prisms and Cylinders|MAFS.912.G.GMD.3 |Will find volumes of prisms and |1 Day |Prisms and Cylinders - |

| | |cylinders. | |Activity A |

| | |Use volume formulas for cylinders, | | |

| | |pyramids, cones, and spheres to | | |

| | |solve problems. | | |

|11.7 Volume of Pyramids and Cones |MAFS.912.G.GMD.3 |Will find volumes of pyramids and |1 Day |Pyramids and Cones - |

| | |cones. | |Activity B |

| | |Use volume formulas for cylinders, | | |

| | |pyramids, cones, and spheres to | | |

| | |solve problems. | | |

|11.8 Surface Area and Volume of |MAFS.912.G.GMD.3 |Will find surface areas and volumes|1 Day | |

|Spheres | |of spheres. | | |

| | |Use volume formulas for cylinders, | | |

| | |pyramids, cones, and spheres to | | |

| | |solve problems. | | |

|11.9 Exploring Similar Solids |MAFS.912.G.GMD.3 |Will use properties of similar |1 Day | |

| | |solids. | | |

| | |Use volume formulas for cylinders, | | |

| | |pyramids, cones, and spheres to | | |

| | |solve problems. | | |

Chapter 12 - Probability

Start Date –

End Date –

|Section Number and Topic |Standards |Learning Target |Instructional Time|Additional Resources |

| | | |Frame | |

| 12.1 Find Probability and Odds |MAFS.912.G.CP.1 |Will find sample spaces and | 1 Day | |

| | |probabilities. | | |

| | |Describe events as subsets of a sample | | |

| | |space (the set of outcomes) using | | |

| | |characteristics (or categories) of the | | |

| | |outcomes, or as unions, intersections, | | |

| | |or complements of other events (“or,” | | |

| | |“and,” “not”). | | |

|12.2 Find Probability Using |MAFS.912.G.CP.9 |Will use the formula for the number of |2 Days |Permutations and Combinations |

|Permutations | |permutations. | | |

| | |Use permutations and combinations of | | |

| | |compound events and solve problems. | | |

| 12.3 Find Probability Using |MAFS.912.G.CP.9 |Will use combinations to count | 1 Day | Permutations and Combinations |

|Combinations | |possibilities. | | |

| | |Use permutations and combinations of | | |

| | |compound events and solve problems. | | |

| 12.4 Find Probabilities of |MAFS.912.G.CP.7 |Will find probabilities of compound | 1 Day | |

|Disjoint and Overlapping Events | |events | | |

| | |Apply the Addition Rule, P(A or B)=P(A)| | |

| | |+ P(B) - P(A and B), and interpret the | | |

| | |answer in terms of the model. | | |

| 12.5 Find Probabilities of |MAFS.912.G.CP.8 |Will examine independent and dependent | 2 Days | Compound Independent Events |

|Independent and Dependent Events | |events. | | |

| | |Apply the Addition Rule, P(A or B)=P(A)| |Compound Independent and |

| | |+ P(B) - P(A and B), and interpret the | |Dependent Events |

| | |answer in terms of the model. | | |

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