Module 1: Topic A - Basic Constructions. Module 1: Topic B - Unknown Angles
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1 September 5 days September 6 Days G-CO.1 G-CO.12 G-CO.13 G-CO.9 MP.5 MP.5 MP.5, MP.6 MP.5, MP.6 MP.5 MP.6, MP. 7 MP. 7, MP.8 Geometry Common Core Module 1 - Congruence, Proof, and Constructions Module 1: Topic A - Basic Constructions #1 - Construct an Equilateral Triangle #2 - Construct an Equilateral Triangle II #3 - Copy and Bisect an Angle #4 - Construct a Perpendicular Bisector #5 - Points of Concurrencies Module 1: Topic B - Unknown Angles #6 - Solve for Uknown Angles - Angles and Lines at a Point #7 - Solve for Uknown Angles - Transversals #8 - Solve for Unknown Angles - Angles in a Triangle #9 - Unknown Angle Proofs - Writing Proofs Pages 8-15 Pages Pages Pages Pages Pages Pages Pages Pages 70-77
2 September/ October 10 Days G-CO.2 G-CO.3 G-CO.4 G-CO.5 G-CO.6 G-CO.7 G-CO.12, MP.8 MP.5, MP.6, MP.5, MP.6 MP.5, MP.6, #10 - Unknown Angle Proofs - Proofs with Constructions #11 - Unknown Angle Proofs - Proofs of Known Facts Module 1 - Topic C - Transformations/Rigid Motions #12 -Transformations - The Next Level #13 - Rotations #14 - Reflections #15 - Rotations, Reflections, and Symmetry #16- Translations #17 - Characterize Points on a Perpendicular Bisector #18 - Looking More Carefully at Parallel Lines #19 -Construct and Apply a Sequence of Rigid Motions Pages Pages Pages Pages Pages Pages Pages Pages Pages Pages
3 October 6 Days October G-CO.7 G-CO.8 G-CO.9 G-CO 10 G- Mid-Module Assessment Task (1 Day) Post-Assessment Return and Remediation (3 Days) #20 - Applications of Congruence in Terms of Rigid Motions #21 - Correspondence and Transformations Module 1 - Topic D - Congruence #22 - Congruence Criteria for Triangles - SAS #23 -Base Angles of Isosceles Triangles #24 - Congruence Criteria for Triangles - ASA and SSS #25 - Congruence Criteria for Triangles - AAS and HL #26 - Triangle Congruency Proofs - Part I #27 - Triangle Congruency Proofs - Part II Module 1 - Topic E - Proving Properties of Geometric Figures #28 - Properties of Parallelograms Pages Pages Pages Pages Pages Pages Pages Pages Pages Pages
4 3 Days October 2 Days October 2 Days G-CO.10 G- CO.11 G-CO.13 G-CO.1 G-CO.2 G-CO.3 G-CO.4 G-CO.5 G-CO.6 G-CO.7 G-CO.8 G-CO.9 G-CO.10 G-CO.11 G-CO.12 G-CO.13 End-of-Module Assessment Task (1 Day) Post-Assessment Return and Remediation (4 Days) # Special Lines in Triangles Module 1 - Topic F - Advanced Constructions #31 - Construct a Square and a Nine-Point Circle #32 - Construct a Nine-Point Circle Module 1 - Topic G - Axiomatic Systems # Review of Assumptions Module 2 - Similarity, Proof, and Trigonometry Module 2 - Topic A - Scale Drawings Pages Pages Pages Pages Pages
5 October/ November 5 days November 6 Days G-SRT.A.1 G-SRT.B.4 G-SRT.A.1 G-SRT.B.4 MP.5 MP.5, MP.2, MP.1 MP.6, MP. 1, MP.8,, MP.1,,, MP.2 #1 - Scale Drawings #2 - Making Scale Drawings Using the Ratio Method #3 - Making Scale Drawings Using the Parallel Method #4 - Comparing the Ratio Method with the Parallel Method #5 - Scale Factors Module 2 - Topic B - Dilations #6 - Dilations as Transformations of the Plane #7 - How Do Dilations Map Segments? #8 - How Do Dilations Map Lines, Rays, and Circles? #9 - How Do Dilations Map Angles? #10 - Dividing the King's Foot into 12 Equal Pieces Pages 3-9 Pages Pages 3-9 Pages Pages 3-9 Pages
6 November/ December 9 Days G-SRT.A.2 G-SRT.A.3 G-SRT.B.5 G-MG.A.1 MP.8, MP.1, MP.1 MP.5,, MP.2, MP.8 #11 - Dilations from Different Centers Module 2 - Topic C - Similarity and Dilations #12 - What Are Similarity Transformations and Why Do We Need Them? #13 - Properties of Similarity Transformations #14 - Similarity #15 - The Angle-Angle (AA) Criterion for Two Triangles to be Similar #16 - Between-Figure and Within-Figure Ratios #17 - The Side-Angle-Side (SAS) and Side-Side-Side (SSS) Criteria for Two Triangles to be Similar #18 - Similarity and the Angle Bisector Theorem #19 - Families of Parallel Lines and the Circumference of the Earth #20 - How Far Away Is the Moon?
7 December/ January 4 Days January 9 Days Mid-Module Assessment Task (1 Day) Post-Assessment Return and Remediation (5 Days) G-SRT.B.4 G-SRT.C.6 G-SRT.C.7 G-SRT.C.8 Module 2 - Topic D - Applying Similarity to Right Triangles MP.1, MP.2,, MP.6 MP.8, MP.2, MP.8, MP.1 MP.8, MP.1 #21 - Special Relationships Within Right Triangles - Dividing into Two Similar Sub-Triangles #22 - Multiplying and Dividing Expressions with Radicals #23 -Adding and Subtracting Expressions with Radicals #24 - Prove the Pythagorean Theorem Using Similarity Module 2 - Topic E - Trigonometry #25 - Incredibly Useful Ratios #26 - The Definition of Sine, Cosine, and Tangent #27 - Sine and Cosine of Complementary Angles and Special Angles #28 - Solving Problems Using Sine and Cosine #29 -Applying Tangents Pages Pages 3-9 Pages
8 , MP.1, MP.2, End-of-Module Assessment Task (1 Day) Post-Assessment Return and Remediation (5 Days) #30 - Trigonometry and Pythagorean Theorem #31 - Using Trigonometry to Determine Area #32 - Using Trigonometry to Find Side Lengths of an Acute Triangle #33 - Applying the Laws of Sines and Cosines Module 3 - Extending to Three Dimenstions Module 3 - Topic A - Area Pages MP.1, #1 - What is Area? Pages 8-20 February 4 Days G-GMD.A.1, MP.8 #2 - Properities of Area #3 - The Scaling Priciple of Area Pages Pages MP.2,,, MP.1 #4 - Proving the Area of a Disk Module 3 - Topic B - Volume Pages 49-63
9 February 9 Days G-GMD.A.1 G-GMD.A.3 G-GMD.B.4 G-MG.A.1 G-MG.A.2 G-MG.A.3,, MP.8, MP.1,, MP.1 End-of-Module Assessment Task (1 Day) Post-Assessment Return and Review (1 Day) #5 - Three-Dimensional Space #6 - General Cylinders and Prisms and Their Cross- Sections #7 - General Pyramids and Cones and Their Cross- Sections #8 - Definition and Properties of Volume #9 - Scaling Principle for Volumes #10 - The Volume of Prisms and Cylinders and Cavalieri's Principle #11 - The Volume Formula of a Pyramid and Cone #12 - The Volume Formula of a Sphere #13 - How do 3D Printers Work? Pages Pages Pages Pages Pages Pages Pages Pages Pages Pages Module 4 - Connecting Algebra and Geometry Through Coordinates Module 4 - Topic A - Rectangular and Triangular Regions Defined by Inequalities
10 MP.4 #1 - Searching a Region in the Plane Pages 9-17 March 4 Days March 4 Days G-GPE.B.7 MP.4,, MP.1, #4 - Designing a Search Robot to Find a Beacon Module 4 - Topic B: Perpendicular and Parallel Lines in the Cartesian Plan G-GPE.B.4 G-GPE.B.5, MP.1, Mid-Module Assessment Task (1 Day) Post-Assessment Return and Review (1 Day) #2- Finding Systems of Inequalities That Describe Triangular and Rectangular Regions #3 - Lines that Pass Through Regions #5 - Criterion for Perpendicularity #6 - Segments That Meet at Right Angles #7 - Equations for Lines Using Normal Segments #8 - Parallel and Perpendicular Lines #9 Perimeter and Area of Triangles in the Pages Pages Pages Pages Pages Pages Pages Pages Module 4 - Topic C - Perimeters and Areas of Polygonal Regions in the Cartesian Plane
11 March 3 Days March 4 Days G-GPE.B.7 #9 - Perimeter and Area of Triangles in the Cartesian Plane Pages MP.1, MP.4, MP.8,, MP.1, #10 - Perimeter and Area of Polygonal Regions in the Cartesian Plane #11 - Perimeters and Areas of Polygonal Regions Defined by Systems of Inequalities #12 - Dividing Segments Proportianately #13 - Analytic Proofs of Theorems Previously Proved by Synthetic Means #14 - Motion Along a Line - Search Robots Again (Optional) #15 - The Distance from a Point to a Line #1 - Dilations as Transformations of the Plane #2 - Circles, Chords, Diameters, and Their Relationships Pages Pages Module 4 - Topic D - Partitioning and Extending Segments and Parameterization of Lines G-GPE.B.4 G-GPE.B.6 End-of-Module Assessment Task (1 Day) Post-Assessment Return and Review (2 Days) Module 5 - Circles With and Without Coordinates Module 5 - Topic A - Central and Inscribed Angles Pages Pages Pages Pages Pages
12 April 6 Days April 4 Days G-C.A.2 G-C.A.3 G-C.A.2 G-C.A.3 G-C.B.5 MP.1,, MP.8, MP.1 MP.1, MP.8, MP.2,, MP.4 MP.6,, MP.8 #3 - Rectangles Inscribed in Circles #4 - Experiments with Inscribed Angles #5 - Inscribed Angle Theorem and Its Applications #6 - Unknown Angle Problems with Inscribed Angles in Circles Module 5 - Topic B - Arcs and Sectors #7 - The Angle Measure of an Arc #8 - Arcs and Chords #9 - Arc Length and Areas of Sectors #10 - Unknown Length and Area Problems Mid-Module Assessment Task (1 Day) Post-Assessment Return and Review (1 Day) Module 5 - Topic C - Secants and Tangents #11 - Properties of Tangents Pages
13 April/May 6 Days May 3 Days May G-C.A.2 G-C.A.3 G-GPE.A.1 G-GPE.B.4 G-C A 3, MP.1 MP.8 MP.1 MP.1, #12 - Tangent Segments #13 - The Inscribed Angle Alternate a Tangent Angle #14 - Secant Lines; Secant Lines that Meet Inside a Circle #15 - Secant Angle Theorem, Exterior Case #16 - Similar Triangles in Circle-Secant (or Circle- Secant-Tangent) Diagrams Module 5 - Topic D - Equations for Circles and Their Tangents #17 - Writing the Equation for a Circle #18 - Recognizing Equations of Circles #19 - Equations for Tangent Lines to Circles Module 5 - Topic E - Cyclinc Quadrilaterals and Ptolemy's Theorem #20 - Cyclic Quadrilaterals
14 2 Days G-C.A.3 #21 - Ptolemy's Theorem End-of-Module Assessment Task (1 Day) Post-Assessment Return and Review (1 Day) May/June - Common Core Regents Review - 9 Days June - Geometry Regents Review Days Pages
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