Unit 1 Number of Days Topic Vocab/Required information to cover Lesson Ideas/Notes Chapter 1 Have students take photos of real-life examples 2-3 Points, Lines, Planes G.CO.1 Points, lines, planes, coplanar, collinear, angles, circle, ray, opposite ray, perpendicular, parallel, segment, midpoint, angle bisector, straight angles, supplementary angles, complementary angles, linear pair, adjacent angles, vertical angles, alternate interior angles, alternate exterior angles, corresponding angles, isosceles triangle, equilateral triangle, scalene triangle, right triangle, hypotenuse, altitude, median segments, angles, bisecting segments, 3-4 1 Constructions Logic 2 9 total G.CO.12 G.CO.13 Use locus to help with definitions 2D Geometry only—no intersections of planes/planes & lines/etc Day 1: vocab Day 2: vocab with algebra Construct with paper/compass lines, lines, equilateral triangle, hexagon in a circle, square Use Nspire/GeoGebra to construct altitude and median of a triangle Mathopenreference.org/constr uctions Conditional, disjunction, conjunction, biconditional Converse, inverse, contrapositive Unit Review, Unit Test Use definitions from day 1 for the statements Additional Information Number of Days Topic Vocab/Required information to cover Lesson Ideas/Notes Day 1: Translations, reflections, rotations, dilations Transparency lab (Angela & Julie) Nspire/GeoGebra Chapter 2 2 Basic Transformations G.CO.2 G.CO.4 G.CO.5 Day 2: Compositions Orientation, Isometry vs. Non-isometry, direct vs opposite isometry Horizontal stretch (nontraditional transformations) On graph paper & without graphs (picture with a center of dilation) Shortcuts More Compositions Glide reflection vs. other 1 1 Mapping notation Rotational & Line Symmetry 2 Group activities: using mirrors, snowflake rotation, tracing cardstock shapes G.CO.4 G.CO.3 Unit Review, Unit Test 6 total Additional Information Number of Days Topic Vocab/Required information to cover 1 Chapter 3 Mini-proofs 1 Line & Angle Proofs G.CO.9 1 Rigid Motion creating Triangle Congruence G.CO.6 G.CO.7 G.CO.8 1 7 Congruent Triangle Proofs G.CO.6 G.CO.7 G.CO.8 2 Proofs about Triangles G.CO.10 2 15 total Additional Information Vocab Vertical Angles , Alternate Interior Angles , Corresponding Angles , Points on a bisector are equidistant from the segment’s endpoints Use transformations to review what is being preserved, emphasizes corresponding parts Midsegment Thm, Exterior Angle Thm, Triangle Inequality Thm Triangle Properties Lesson Ideas/Notes SSS/SAS/AAS/ASA HL CPCTC Isosceles Overlapping Triangles Addition/Subtraction Postulate Measures of int ’s sum to 180, Base ’s of isosceles triangle , Midsegment is parallel to third side & half the length, Medians of a triangle meet at a point, Perpendicular bisectors meet at a point, Angle bisectors meet at a point Unit Review, Unit Test This lesson could go anywhere earlier Number of Days 1 1 2 Topic Chapter 4 Properties of Quadrilaterals Parallelogram Algebra Sufficient for Proof Proofs about Parallelograms 2 6 total Vocab/Required information to cover G.CO.11 GeoGebra/Nspire activity G.CO.11 G.CO.11 Lesson Ideas/Notes Day 1: Given a shape, prove x, y, z Day 2: Prove it’s a or special or Day 1: Prove it’s a Day 2: Prove it’s a special Unit Review & Unit Test Additional Information Unit 2 Number of Days Topic Vocab/Required information to cover Lesson Ideas/Notes Additional Information Chapter 5 -Passing through a center other than origin (graphically and sketching) 1 Dilations G.SRT.1 -Show they preserve parallelism Use GeoGebra/Nspire -Angle measures preserved -Scale Factor ½ ½ Compostion Establish AA Similarity through Dilations G.SRT.2 -Include at least one dilation G.SRT.3 GeoGeobra/Nspire Lab Day 1: Triangle Proportionality Theorems, Midsegments (see unit 1 chapter 3) 6 Triangle Proportionality & Prove Triangle Theorems G.SRT.4 G.SRT.5 G.GPE.7 Day 2: Mean Proportional and Pythagorean Theorem proved using triangle similarity (Khan Academy or YouTube) Day 3 & 4: Similarity proofs, A line parallel to one side of a triangle divides the other 2 (sides) proportionally (and conversely) (think AA similarity proof with cross products) Day 5: Distance, Midpoint, Slope Formula Day 4-Classwork 5.5 (Julie and Angela) https://www.khanacade my.org/math/geometry/ right_triangles_topic/p ythagorean_proofs/v/py thagorean-theoremproof-using-similarity Day 6: Similar Coordinate proofs 2 Unit Review & Unit Test 10 total Number of Days Topic Vocab/Required information to cover Lesson Ideas/Notes Additional Information Chapter 6 1 Trigonometry using Similar Triangles G.SRT.6 G.SRT.7 G.SRT.8 G.MG.1 2 3 Total Pythagorean Theorem & Setting up ratios Day 1: Solving for angles & sides using trig Day 2: Word problems (includes problems with angles of elevation & depression) “Quest” -first time seeing trig ratios Unit 3 Number of Days 1 1 1 Topic Chapter 7 Area & Perimeter Volume of prisms Volume of Cylinder, Pyramid, Cone, Sphere Vocab/Required information to cover G.GMD.1 G.MG.2 Basic formulas they know G.GMD.3 G.MG.1 G.MG.2 Formulas Use them algebraically Word problems (real world) Cross-Sections Rotating 2D G.GMD.4 Design Problems G.MG.3 2 5 total Triangle: cone Rectangle: cylinder Satisfying physical constraints, minimize cost Word Problems Unit Review & Unit Test Lesson Ideas/Notes Google SketchUp Demo Tape shape to pencil and Not all students will reach this Additional Information Unit 4 Number of Days Topic Vocab/Required information to cover Lesson Ideas/Notes -Writing Equations of Lines (slope-intercept/point-slope) -Parallel/Perpendicular Lines Vertical/Horizontal Line - / lines look at graphically, compare to systems from Algebra Chapter 8 2 3 Lines Coordinate Proofs 1 1 G.GPE.5 G.GPE.4 G.GPE.7 Points on Line Segments 2 9 Total G.GPE.6 Day 1: Triangle Coordinate Proofs Day 2: Quadrilateral Coordinate Proofs Day 3: Coordinate Proofs of Vocab (midpoint, seg bisector, altitude, median) -Perimeter of Polygons -Perimeter & Area of Right Triangles & Rectangles (extension: isosceles triangle) -example: endpoints (1,3), (8,6) and we want a point divided into 2:3—(3/5)(1,3) + (2/5)(8,6) Unit Review & Unit Test See Andy Additional Information Unit 5 Number of Days 1 1 Topic Chapter 9 Circle Vocab Equation of a Circle Changing quadratic forms 5 Circle Angles ½ Proving Circles Similar 1 ¼ 2 Circle Constructions Inscribed Quadrilateral Sectors & Radians 2 13 Total Vocab/Required information to cover G.GPE.1 -Change from standard to center-radius form using completing the square G.C.2 Day 1: Angle Lab Day 2: Angle Practice Day 3: Segment Lab Day 4: Segment Practice Day 5: Mixed Practice G.C.1 -Unit circle, 45-45-90 inscribed triangle G.C.3 -Construct inscribed & circumscribed circles of a triangle -Prove opposite angles of an inscribed quadrilateral are supplementary Day 1: Area of a Sector Day 2: Degree Radian, s r Unit Review & Unit Test G.C.5 Additional Information Take-home assignment after chapter 8 test -Find center & radius -Write equation G.GPE.1 G.C.3 Lesson Ideas/Notes GeoGebra/Nspire (Julie & Angela) http://learni.st/users/S33572/b oards/2983-proving-all-circlesare-similar-common-corestandard-9-12-g-c-1 http://www.geom.uiuc.edu/~d wiggins/conj47.html