Seminole County Public Schools HS Geometry Connections CPM Instructional Plan 2012-2013 Instructional Plan Notes: The term (optional) implies topics or content that is not required in the Florida DOE Course Description. Spiral testing (incorporating previously learned skills into each test) is highly encouraged. Geometry Connections requires a substantial amount of materials that are prepared ahead of class. Language Arts strands are embedded throughout the curriculum. Each student team should be provided with daily essential supplies. Homework refers to review and preview problems. Total assessment days are listed at the end of each chapter or unit, but may be used at the discretion of the teacher. The learning goals and scales are a work in progress and may be modified as needed. They are meant to be a starting point for PLCs to use as they develop additional learning goals and scales. Algebra Review at the beginning of chapters 1-6 can be used anytime during the chapter. 2012-2013 Mathematics Instructional Plan Writing Committee School Board Members: Karen Almond Diane Bauer Dr. Tina Calderone Sylvia Pond Dede Schaffner Superintendent: Walt Griffin Deputy Superintendent: Dr. Anna-Marie Cote Secondary Executive Directors: Dr. Michael Blasewitz Dr. Robin Dehlinger Middle School Contributors: Sandy Baldorossi – TWMS Bridget Dycus – RLMS Sara Gibbs – MWMS Beth Giles – Teague Dr. Karen Gundal – SSMS Kim Hamilton – ITMS Joni Hudson – SMS Beth Karnes – ITMS Adam Kiefer - SSMS Stuart Milchman – MMMS Karen Neukamm – Teague Michael Pentz – GLMS Christin Quinones – MMMS Misty Roberts – CMS Sabrina Robinson – MWMS Jennifer Stickle – MMMS Julianne Tucker – MKMS Susan Wofford – RLMS Agnes Wong – SMS Marcus Wong - MWMS High School Contributors: Diana Barnett – ESC Brittany Campbell - HHS Anna Childress – OHS Chinyen Chuo – SHS Amy Colasanti-Moore – HHS Manhar Dalal – SHS Rebecca Devor – LMHS Detra Dopson - LHHS Anna Hollis-Childress – OHS Brenda Holmes – OHS Lynn Maurer – LHHS David Offenbacker – LHS Jonathan Rodriquez – HHS Erica Segrest – OHS Sharon Shrader – ESC Sharon Shyrock – LHS We would like to express our appreciation for the time, effort and expertise contributed to the writing of the secondary Mathematics Instructional Plans by our team of Seminole County Math Teachers. HS Geometry Connections CPM CPM Geometry Connections 2012-2013 Instructional Plan FIRST QUARTER (August 13 – October 18) Topic/Assessment Chapter 1: Shapes and Transformations Chapter 2: Angles and Measurement Chapter 3: Justification and Similarity (Section 1) District Assessment (1 day); PSAT (1 day); Nine Weeks Review/Exam (2 days) SECOND QUARTER (October 22 – December 21) Topic/Assessment Chapter 3: Justification and Similarity (Section 2) Chapter 4: Trigonometry and Probability Chapter 5: Trigonometry and Triangle Tool Kit Chapter 6: Congruent Triangles District Assessment (1 day); Nine Weeks Review/Exam (4 days) Dates Covered Dates Covered THIRD QUARTER (January 9 – March 21) Topic/Assessment Chapter 7: Proof and Quadrilaterals Chapter 8: Polygons and Circles Chapter 9: Solids and Construction (Section 1) District Assessment (1 day); FCAT Writes (1 day); Nine Weeks Review/Exam (2 days) Dates Covered FOURTH QUARTER (April 1 – May 29) Topic/Assessment Chapter 10: Circles and Expected (Section 1) Chapter 11: Solids and Circles (Section 1) Chapter 9: Solids and Construction (Section 2) Chapter 11: Solids and Circles (Section 2) Chapter 10: Circles and Expected Value (Section 2) FCAT (2 days); ePAT/EOC Exam (2days); Nine Weeks Review/Exam (4 days) Page 2 of 28 Dates Covered 46 DAYS Days 17 17 8 4 42 DAYS Days 9 7 10 11 5 50 DAYS Days 18 16 12 4 42 DAYS Days 9 8 7 6 4 8 HS Geometry Connections CPM CPM Geometry Connections 2012-2013 Instructional Plan Standard: MA.912.G.1.3 Learning Goal: The student will be able to identify and use the relationships between special pairs of angles formed by parallel lines and transversals. Learning Goal and Scale (to be used with chapter 2) Topic (Keywords): Parallel Lines, Angle-Pair Relationships In addition to Score 3.0, in-depth inferences and applications that go beyond instruction to the standard The student will: Create an original construction of parallel lines. Write a formal proof of the angle pair relationships, given parallel lines. No major errors or omissions regarding the score 4.0 content 4.0 3.5 In addition to score 3.0 performance, in-depth inferences and applications with partial success 3.0 The student will be able to identify and use the relationships between special pairs of angles formed by parallel lines and transversals. The student will also be able to: Understand the relationships between angle pairs when lines are parallel. Apply relationships to find missing measurements. Determine what an angle should measure so that lines are parallel. Apply knowledge of parallel lines to more complex figures (multiple sets of lines, parallelograms, other polygons, etc.). No major errors or omissions regarding the score 3.0 content (simple or complex) 2.5 No major errors or omissions regarding 2.0 content and partial knowledge of the 3.0 content 2.0 The student recognizes and describes specific terminology such as: Parallel lines Vertical Angles Alternate interior angles Linear pair of angles Alternate exterior angles Congruent Same-Side interior angles Supplementary Corresponding angles Transversal The student will: Identify parallel lines Identify angle pairs No major errors or omissions regarding the simpler details and processes but major errors or omissions regarding the more complex ideas and processes 1.5 Partial knowledge of the score 2.0 content, but major errors or omissions regarding score 3.0 content 1.0 With help, a partial understanding of some of the simpler details and processes and some of the more complex ideas and processes. 0.5 With help, a partial understanding of the score 2.0 content, but not the score 3.0 content 0.0 Even with help, no understanding or skill demonstrated Page 3 of 28 HS Geometry Connections CPM CPM Geometry Connections 2012-2013 Instructional Plan FIRST QUARTER Chapter 1: Shapes and Transformations Benchmarks 46 Days 17 Days G.2.4 Apply transformations to polygons to determine congruence, similarity and symmetry. Know that images formed by translations, reflections, and rotations are congruent to the original shape. Create and verify tessellations of the plane using polygons. G.2.7 Determine how changes in dimensions affect the perimeter and area of common geometric figures. G.3.1 Describe, classify, and compare relationships among quadrilaterals including the square, rectangle, rhombus, parallelogram, trapezoid, and kite. G.8.2 Use a variety of problem-solving strategies, such as drawing a diagram, making a chart, guess-and-check, solving a simpler problem, writing an equation, and working backwards. G.8.3 Determine whether a solution is reasonable in the context of the original situation. G.8.4 Make conjectures with justifications about geometric ideas. Distinguish between information that supports a conjecture and the proof of a conjecture. Double Blocks periods/ Date NGSSS Algebra 1 EOC Homework Problems Lesson/Assignments TE Pages Student pages 1 Algebra I Diagnostic Omit #10, 19, 32, 37, 38, 44, 45,46, 49 Algebra EOC Diagnostic.pdf 1 G.2.4 1 G.8.2 G.8.4 1 G.2.7 1 G.8.3 1 G.8.2 Supplementary Materials 1.1.1 Creating a Quilt Using Symmetry Core Problem: 1-1 Additional Problem: 1-2 Homework: 1-3 through 1-7 1.1.2 Making Predictions and Investigating Results Core Problems: 1-9 through 1-11 Additional Problems: 1-12 and 1-13 Homework: 1-14 through 1-18 1.1.3 Perimeter and Area of Enlarging Tile Patterns Core Problem: 1-19 (FGP 1-20 through 1-23) Additional Problem: 1-24 Homework: 1-25 through 1-29 1.1.4 Logical Arguments Core Problems: 1-30 and 1-31 Homework: 1-32 through 1-36 1.1.5 Building a Kaleidoscope Core Problems: 1-37 through 1-39, 1-4 (a,b,c) Additional Problems: 1-40 and 1-41 Homework: 1-42 through 1-46 1-5 1-6 12-15 3-6 1.1.1A Resource Page 1.1.1B Resource Page 1-16 1-17 20-23 7-11 Copy Paper Cut in Strips 4 1.1.2A Resource Page 1.1.2B Resource Page 1-25 1-27 29-32 12-16 Graph Paper 1.1.3 Resource Page Math Notes p19 1-34 1-35 37-39 16-20 1.1.4 Resource Page 21-25 Hinged mirrors 1.1.5 Resource Page OR Protractor Colored Paper 1-43 1-45 Page 4 of 28 44-46 HS Geometry Connections CPM CPM Geometry Connections 2012-2013 Instructional Plan 1 G.2.4 1 G.2.4 1 G.2.4 1 G.2.4 G.8.2 1 1 1.2.1 Spatial Visualization and Reflections Core Problems: 1-50 and 1-51 Additional Problems: 1-52 and 1-53 Homework: 1-54 through 1-58 1.2.2 Rigid Transformations: Rotation and Translations Core Problems: 1-59 through 1-61 Additional Problem: 1-62 Homework: 1-63 through 1-67 1.2.3 Using Transformations Core Problems: 1-69 through 1-72 Homework: 1-73 through 1-77 1.2.4 Using Transformations to Create Shapes Core Problem: 1-79 (further guidance 1-80) Additional Problem: 1-81 Homework: 1-82 through 1-86 1.2.5 Symmetry Core Problems: 1-87 through 1-89 Additional Problem: 1-90 Homework: 1-92 through 1-96 G.3.1 1.3.1 Attributes and Characteristics of Shapes Core Problems: 1-97 and 1-98 Homework: 1-99 through 1-103 G.3.1 1.3.2 More Characteristics of Shapes Core Problems: 1-104 through 1-107 Additional Problems: 1-108 and 1-109 Homework: 1-110 through 1-114 1 Math Notes p29 1-54 1-56 1-57 A,D,E,F 52-53 26-30 1.2.1 Resource Page 1-65 59-61 31-35 1.2.2 Resource Page Patty Paper 1-74 1-75 1-76 67-68 36-39 1.2.3 Resource Patty Paper 73-75 40-43 Patty Paper 1-92 1-93 80-81 44-49 Patty Paper Math Notes p51 1-99 1-100 1-103 87-89 49-53 1.3.1A, B, C Resource Pages Small Sticky Notes 1-113 94-95 53-56 1.3.2A, B Resource Pages Shape Bucket Venn Diagrams 107-116 62-67 4 1-131 1-132 1-133 Vocabulary: conjecture, equilateral, image, parallel, perimeter, perpendicular, polygon, protractor, reflection, regular hexagon, rotation, straight angle, transformation, translation, Venn diagram, vertex (vertices) Closure/Assessment Page 5 of 28 District Assessments: HS Geometry Connections CPM CPM Geometry Connections 2012-2013 Instructional Plan Chapter 2: Angles and Measurements 17 Days Benchmarks D.6.3 Determine whether two propositions are logically equivalent. G.1.1 Find the lengths and midpoints of line segments in two dimensional coordinate system. G.1.3 Identify and use the relationship between special pairs of angles formed by parallel lines and transversals. G.2.5 Explain the derivation and apply formulas for perimeter and area of polygons. G.4.7 Apply the inequality theorems: triangle inequality, inequality in one triangle, and the Hinge Theorem. G.5.1 Prove and apply the Pythagorean Theorem and its converse. G.5.2 State and apply the relationships that exist when the altitude is drawn to the hypotenuse of a right triangle. G.8.1 Determine whether a solution is reasonable in the context of the equation. G.8.2 Use a variety of problem-solving strategies, such as drawing a diagram, making a chart, guess-and-check, solving a simpler problem, writing an equation, and working backwards. G.8.4 Make conjectures with justifications about geometric ideas. Distinguish between information that supports a conjecture and the proof of a conjecture. G.8.5 Write geometric proofs, including proofs by contradiction and proofs involving coordinate geometry. Use and compare a variety of ways to present deductive proofs, such as flow charts, paragraphs, two-column, and indirect proofs. Supplementary Double Algebra 1 EOC TE Student Materials Blocks NGSSS Lesson/Assignments Homework Pages Pages (Algebra I Focus from Prentice periods/ Date Problems Hall Resources) 1 Focus on Factoring 8.5 Reteach A.4.3 factor 8-5 ReT.doc 1 1 A.4.3 factor 8-5 P.doc 8.5 Practice 8.5 Standardized Test Prep A.4.3 facto 8-5 STP.pdf G.8.2 G.8.4 2.1.1 Complementary, Supplementary and Vertical Angles Core Problems: 2-1 through 2-4 Additional Problems: 2-5 through 2-7 Homework: 2-8 through 2-12 2-8 2-12 146-148 73-78 Hinged Mirrors Laser Pointer(optional) Household Cornstarch OR Flour G.1.1 G.1.3 G.8.1 G.8.4 2.1.2 Angles Formed By Transversals Core Problems: 2-14 through 2-17 Homework: 2-18 through 2-22 2-18 2-19 2-20 2-21 154-157 78-83 Patty Paper PowerPoint Presentation 2.1.2 Resource Page G.1.3 G.8.4 2.1.3 More Angles Formed By Transversals Core Problems: 2-23 through 2-26 Additional Problems: 2-27 and 2-28 Homework: 2-29 through 2-33 83-89 Patty Paper 2.1.3 Resource Page Laser Pointer & Hinged Mirror Chalkboard Erasers or Household Flour 1 Math Notes p87 2-29 2-32 2-33 Page 6 of 28 163-165 HS Geometry Connections CPM CPM Geometry Connections 2012-2013 Instructional Plan 1 G.8.4 1 G.1.3 G.8.5 1 1 G.2.5 G.5.2 1 G.2.5 D.6.3 1 G.2.5 G.5.2 G.8.2 1 1 G.4.7 2.1.4 Angles in a Triangle Core Problems: 2-34 through 2-36 Additional Problem: 2-37 Homework: 2-38 through 2-42 2.1.5 Applying Angle Relationships Core Problems: 2-43 through 2-46 Further Guidance 2-47, 2-48 Additional Problems: 2-49 and 2-50 Homework: 2-51 through 2-55 2.2.1 Units of Measure Core Problems: 2-56 through 2-59 Additional Problem: 2-60 Homework: 2-61 through 2-65 2.2.2 Areas of Triangles and Composite Shapes Core Problems: 2-66 through 2-68 Additional Problem: 2-69 Homework: 2-70 through 2-74 2.2.3 Areas of Parallelograms and Trapezoids Core Problems: 2-75, 2-76, 2-78 Additional Problems: 2-77, 2-79, 2-80 Homework: 2-81 through 2-85 When using “if…, then…” statements as at the end of section 2.2.3, you will need to introduce symbolic logic p→q 2.2.4 Heights and Area Core Problems: 2-86 through 2-88 Additional Problem: 2-89 Homework: 2-90 through 2-94 2.3.1 Squares and Square Roots Core Problems: 2-95 and 2-97 Additional Problems: 2-96, 2-98, and 2-99 Homework: 2-100 through 2-104 2.3.2 Triangle Inequality Core Problems: 2-106 and 2-107 Additional Problems: 2-105 and 2-108 Homework: 2-109 through 2-113 2-39 2-40 2-42 172-175 89-92 Colored Pencils 2.1.4 Resource Page Patty Paper Dynamic Geometry Tool 2-51 2-52 2-53 2-54 179-181 93-97 Hinged Mirrors 2-63 2-65 188-190 98-101 2.2.1A Resource Page 2.2.1B Resource Page Blank Transparency with “T” Rulers Math Notes p104 2-70 2-72 2-73 195-198 102-105 Dynamic Geometry Tool OR 2.2.2 Resource Page 105-109 Shapes from Shape Bucket Patty Paper Prentice Hall Geometry section 2-2 page 97 2-81 2-85 203-205 2-91 2-92 210-212 110-113 Small Weight or Washer; String; Tape 2.2.4A, B Resource Pages Metric Ruler; Index Card Math Notes p115 2-100 2-102 2-104 217-218 113-116 Graph Paper Patty Paper 2-110 223-226 117-120 Dynamic Geometry Tool OR Sticks of Linguini Page 7 of 28 HS Geometry Connections CPM CPM Geometry Connections 2012-2013 Instructional Plan 1 G.5.1 2.3.3 The Pythagorean Theorem Core Problems: 2-114 through 2-116 Additional Problem: 2-117 Homework: 2-218 through 2-122 2-118 2-121 2-126 2-127 2-128 Vocabulary: alternate interior angles, arrow diagram, base, complementary angles, conditional statement, corresponding angles, hypotenuse, parallelogram, proof by contradiction, same-side interior angles, supplementary angles, theorem, transversal, trapezoid, triangle inequality, vertical angles *(Use the terminology “altitude” when the books refers to “height”) 230-231 121-124 236-238 125-130 Dynamic Geometry Tool 2.3.3 Resource Page Scissors 4 Closure/Assessment Page 8 of 28 District Assessments: District Assessment ( 1day) 8/27-9/28 HS Geometry Connections CPM CPM Geometry Connections 2012-2013 Instructional Plan Chapter 3: Justification and Similarity 8 Days Benchmarks G.2.3 Use properties of congruent and similar polygons to solve mathematical or real-world problems. G.2.4 Apply transformations to polygons to determine congruence, similarity and symmetry. Know that images formed by translations, reflection, and rotations are congruent to the original shape. Create and verify tessellations of the plane using polygons. G.2.7 Determine how changes in dimensions affect the perimeter and area of common geometric figures. G.4.4 Use properties of congruent and similar triangles to solve problems involving lengths and areas. G.8.3 Use a variety of problem-solving strategies, such as drawing a diagram, making a chart, guess-and-check, solving a simpler problem, writing an equation, and working backwards. Supplementary Double Algebra 1 EOC TE Student Materials Blocks NGSSS Lesson/Assignments Homework Pages Pages (Algebra I Focus from Prentice periods/ Date Problems Hall Resources) 1 Focus on Functions 4.4 StC A.2.3 functions #3.pdf 4-4 Student Companion 4.6 Part 2 Student Companion Workbook 4.6 Reteaching 4.6 Practice 4.6 part 2 4.6 Reteach.doc Student Companion.pdf 4.6 Practice.doc 2 G.2.4 G.8.2 1 G.2.3 G.2.7 1 G.2.7 1 G.2.3 G.4.4 3.1.1 Similarity Core Problems: 3-1, 3-2, and 3-3 Additional Problem: 3-4 Homework: 3-5 through 3-9 3.1.2 Proportional Growth and Ratio Core Problems: 3-10 through 3-14 Additional Problems: 3-15 and 3-16 Homework: 3-17 through 3-21 3.1.3 Using Ratios of Similarity Core Problems: 3-22 through 3-25 Additional Problem: 3-26 Homework: 3-27 through 3-31 3.1.4 Applications and Notations Core Problems: 3-32 through 3-35 Additional Problems: 3-36 and 3-37 Homework: 3-38 through 3-42 3-6 267-276 135-139 3.1.1 Resource Page Small Rubber Bands Patty Paper Poster Paper and Color Pencils 3-18 3-19 3-20 277-284 139-143 Graph Paper Straight Edge Digital Picture (optional) 3-29 3-30 a, c 285-290 144-146 Graph Paper 3-38 3-41 290-296 147-151 Rulers or Measuring Tape Page 9 of 28 HS Geometry Connections CPM CPM Geometry Connections 2012-2013 Instructional Plan 2 Assessment Vocabulary: corresponding sides, dilation, similarity, zoom factor, scale factor District Assessments: PSAT (1 day) 10/17 Nine Week Review/Exam (2 days) 10/15 – 10/18 Page 10 of 28 HS Geometry Connections CPM CPM Geometry Connections 2012-2013 Instructional Plan SECOND QUARTER Chapter 3: Justification and Similarity 42 Days 9 Days Benchmarks G.2.3 Use properties of congruent and similar polygons to solve mathematical or real-world problems. G.4.4 Use properties of congruent and similar triangles to solve problems involving lengths and areas. G.4.6 Prove that triangles are congruent or similar and use the concept of corresponding parts of congruent triangles. G.8.4 Make conjectures with justifications about geometric ideas. Distinguish between information that supports a conjecture and the proof of a conjecture. G.8.5 Write geometric proofs, including proofs by contradiction and proofs involving coordinate geometry. Use and compare a variety of ways to present deductive proofs, such as flow charts, paragraphs, two-column, and indirect proofs. Double Blocks periods/ Date NGSSS 1 Lesson/Assignments TE Pages Student Pages Supplementary Materials Focus on Set Theory D.7.1 union, intersection.docx 1 G.4.6 G.8.4 1 G.8.4 G.8.5 1 1 Algebra 1 EOC Homework Problems G.2.3 G.4.6 G.8.5 1 G.2.3 D.7.1 Scott Casko.docx Many thanks to Scott Casko and the teachers at SHS D.7.1 union intersection.pdf 3.2.1 Conditions for Triangle Similarity Core Problems: 3-44 through 3-46 Additional Problem: 3-47 Homework: 3-48 through 3-52 3.2.2 Creating a Flowchart Core Problems: 3-53, 3-54, 3-55, 3-57 Additional Problem: 3-58 Homework: 3-59 through 3-63 3.2.3 Triangle Similarity and Congruence Core Problems: 3-64, 3-66 and 3-67 Additional Problem: 3-65 Homework: 3-68 through 3-72 3.2.4 More Conditions for Triangle Similarity Core Problems: 3-73 through 3-75 Additional Problems: 3-76 and 3-77 Homework: 3-78 through 3-82 3.2.5 Determining Similarity Core Problems: 3-83 through 3-86 Additional Problem: 3-87 Homework: 3-88 through 3-92 297-302 152-157 305-310 157-161 3-68 a, b 3-70 3-71 3-72 311-315 161-165 3-79 3-82 316-323 165-168 3-90 324-330 169-172 Page 11 of 28 3.2.1 Resource Page Protractor; Ruler TI-84 Cabri or Straws; Protractors 3.2.4 Resource Page TI-84 Capri or Straws, Protractors, Rulers HS Geometry Connections CPM CPM Geometry Connections 2012-2013 Instructional Plan 1 G.2.3 G.4.4 2 3.2.6 Applying Similarity Core Problems: 3-93 through 3-94 Additional Problem: 3-95 Homework: 3-96 through 3-100 Closure/Assessment 3-98 3-100 Vocabulary: AA~, congruent, flow chart, logical argument, SAS~, SSS~, 331-335 173-175 336-343 176-181 District Assessments: Page 12 of 28 Small Flat Mirror Meter Sticks Measuring Tape or Masking Tape HS Geometry Connections CPM CPM Geometry Connections 2012-2013 Instructional Plan Chapter 4: Trigonometry and Probability 7 Days Benchmarks G.8.2 Use a variety of problem-solving strategies, such as drawing a diagram, making a chart, guess-and-check, solving a simpler problem, writing an equation, and working backwards. G.8.4 Use coordinate geometry to find slopes, parallel lines, perpendicular lines, and equations of lines. T.2.1 Define and use the trigonometric ratios (sine, cosine, tangent, cotangent, secant, and cosecant) in terms of angles of right triangles. Supplementary Double Algebra 1 EOC TE Student Materials Blocks NGSSS Lesson/Assignments Homework Pages Pages (Algebra I Focus from Prentice periods/ Date Problems Hall Resources) 1 Focus on Simple and Compound Inequalities 3.4 Reteach.doc 3.4 STP.pdf 3.4 Reteaching 3.4 Standardized Test Prep 3.4 Student Companion 3.4 Practice 3.4 Student Companion.pdf 3.4 Practice.doc 1 G.8.4 1 G.8.4 1 T.2.1 1 T.2.1 2 4.1.1 Constant Ratios in Right Triangles Core Problems: 4-2 through 4-4 Additional Problem: 4-5 Homework: 4-6 through 4-10 4.1.2 Connecting Slope Ratios to Specific Angles Core Problems: 4-11 through 4-15 Additional Problem: 4-14 Homework: 4-16 through 4-20 4.1.3 Expanding the Trigonometry Table Core Problems: 4-21 through 4-23 Additional Problem: 4-24 Homework: 4-25 through 4-29 4.1.4 The Tangent Ratio Core Problems: 4-31 through 4-34 Additional Problem: 4-35 Homework: 4-36 through 4-40 Closure/Assessment 4-6 4-8 4-9 361-363 187-191 4.1.1 Resource Page 4.1.1 work will be used in 4.1.2 4-19 369-371 192-195 4.1.2 Resource Page Patty Paper Student Work from 4.1.1 4-29 375-377 195-198 4.1.2 Resource Page Graphing Calculators Display Graphing Calculator 381-382 198-201 Trig Table Developed in Previous Lessons Scientific Calculators Patty Paper 423-425 224-230 4-37 b Vocabulary: α, area model, clinometer, dependent events, independent events, slope, angle, tangent, θ, tree diagram, trigonometry, ΔX, ΔY Page 13 of 28 District Assessments: HS Geometry Connections CPM CPM Geometry Connections 2012-2013 Instructional Plan Chapter 5: Trigonometry and Triangle Tool Kit 10 Days Benchmarks G.5.3 Use special right triangles (30o-60o-90o and 45o-45o-90o) to solve problems. G.5.4 Solve real-world problems involving right triangles. T.2.1 Define and use the trigonometric ratios (sine, cosine, tangent, cotangent, secant, and cosecant) in terms of angles of right triangles. Double Blocks periods/ Date NGSSS 1 Lesson/Assignments Algebra 1 EOC Homework Problems TE Pages Student Pages Supplementary Materials (Algebra I Focus from Prentice Hall Resources) Focus on Polynomials/monomials 7.3 Practice.doc 7.3 Reteach.doc 7.3 STP.pdf 7.4 Reteach.doc 7.5 Reteach.doc 7.5 STP.pdf 7.3 Practice 7.3 Reteach 7.3 Standardized test Prep 7.4 Reteach 7.5 Reteach 7.5 Standard Test prep 8.1 Practice CPM skills practice with divide Poly by monom 8.1 Practice.doc 1 T.2.1 1 T.2.1 1 T.2.1 1 G.5.4 T.2.1 5.1.1 Sine and Cosine Ratios Core Problems: 5-2 through 5-5 Additional Problem: 5-6 Homework: 5-7 through 5-11 5.1.2 Selecting a Trigonometry Tool Core Problems: 5-12 through 5-14 Additional Problem: 5-15 Homework: 5-16 through 5-20 5.1.3 Inverse Trigonometry Core Problems: 5-21 through 5-23 Additional Problems: 5-24 and 5-25 Homework: 5-27 through 5-32 5.1.4 Trigonometric Applications Core Problems: 5-31 through 5-33 Additional Problems: 5-34 and 5-35 Homework: 5-36 through 5-40 5-11 a, b, c 5-26 a, b, d 5-27 Page 14 of 28 452-453 235-238 5.1.1 Resource Page 458-459 239-242 5.1.2 Resource Page 464-465 243-245 Scientific Calculator 469-470 246-249 Scientific Calculator HS Geometry Connections CPM CPM Geometry Connections 2012-2013 Instructional Plan 2 G.5.3 1 G.5.3 2 5.2.1 Special Right Triangles Core Problems: 5-41 through 5-43 Additional Problems: 5-44 and 5-45 Homework: 5-46 through 5-50 5.2.2 Pythagorean Triples Core Problems: 5-51 through 5-53 Additional Problems: 5-54 and 5-55 Homework: 5-56 through 5-60 Closure/Assessment 475-476 250-254 481-482 254-257 419-421 278-284 Patty Paper Vocabulary: adjacent, ambiguous, approximate, cosine, exact answer, inverse (sine, cosine, tangent), District Assessments: Pythagorean triple, sine District Assessment (1 day) 11/12-12/14 Page 15 of 28 HS Geometry Connections CPM CPM Geometry Connections 2012-2013 Instructional Plan Chapter 6: Congruent Triangles 11 Days Benchmarks D.6.2 Find the converse, inverse, and contrapositive of a statement. D.6.3 Determine whether two propositions are logically equivalent. G.4.6 Prove that triangles are congruent or similar and use the concept of corresponding parts of congruent triangles. G.8.2 Use a variety of problem-solving strategies, such as drawing a diagram, making a chart, guess-and-check, solving a simpler problem, writing an equation, and working backwards. G.8.5 Write geometric proofs, including proofs by contradiction and proofs involving coordinate geometry. Use and compare a variety of ways to present deductive proofs, such as flow charts, paragraphs, two-column, and indirect proofs. Double Blocks periods/ Date NGSSS 1 Algebra 1 EOC Homework Problems Lesson/Assignments TE Pages Student Pages Application problems will be coming later. Application Problems 1 G.4.6 2 G.4.6 1 G.4.6 G.8.5 1 D.6.2 D.6.3 1 G.8.2 Supplementary Materials 6.1.1 Congruent Triangles Core Problems: 6-1 through 6-2 Additional Problem: 6-3 Homework: 6-4 through 6-9 6.1.2 Conditions for Triangle Congruence Core Problems: 6-10 and 6-11 Additional Problem: 6-12 Homework: 6-13 through 6-18 6.1.3 Flowcharts for Congruence Core Problems: 6-19, 6-20, and 6-22 Additional Problems: 6-21 and 6-23 Homework: 6-24 through 6-29 6.1.4 Converses Core Problems: 6-33 and 6-34 Homework: 6-35 through 6-40 When using converse, inverse and contrapositive statements you will need to use the Law of syllogism p→q 6.2.1 Angles on a Pool Table Core Problem: 6-41 Additional Problem: 6-42 Homework: 6-43 through 6-48 6-6 6-26 6-27 544-545 289-292 550-551 293-296 555-556 297-301 6.1.2 Resource Page 6-36 560-561 301-305 Inverse and Contrapositive Supplements From: www.cpm.org/teachers/supple ments_FL.htm Prentice Hall Geometry section 2-4 pg 113 6-43 d 6-47 566-567 306-309 6.2.1 Resource Page Page 16 of 28 HS Geometry Connections CPM CPM Geometry Connections 2012-2013 Instructional Plan 1 G.8.2 1 G.8.2 2 6.2.2 Investigating a Triangle Core Problem: 6-49 Homework: 6-50 through 6-55 6.2.5 Using Transformations and Symmetry to Create a Snowflake Core Problems: 6-77, 6-79 and 6-80 Further Guidance: 6-78 Additional Problem: 6-81 Homework: 6-82 through 6-86 Closure/Assessment 566, 572, 573 309-311 Graph Paper 6-82 a 6-84 6-85 566, 588, 589 318-323 Scissors 6.2.5 Resource Page 6-92 c 595-494 324-329 Vocabulary: AAS congruence, ASA congruence, converse, HL congruence, SAS congruence, SSS District Assessments: congruence Nine Week Review/Exam (4 days) 12/18 – 12/21 Page 17 of 28 HS Geometry Connections CPM CPM Geometry Connections 2012-2013 Instructional Plan THIRD QUARTER Chapter 7: Proof and Quadrilaterals Benchmarks 50 Days 18 Days D.6.4 Use methods of direct and indirect proof and determine whether a short proof is logically valid. G.1.1 Find the lengths and midpoints of line segments in two-dimensional coordinate systems. G.2.1 Identify and describe convex, concave, regular, and irregular polygons. G.3.1 Describe, classify, and compare relationships among quadrilaterals including the square, rectangle, rhombus, parallelogram, trapezoid, and kite. G.3.2 Compare and contrast special quadrilaterals on the basis of their properties. G.3.3 Use coordinate geometry to prove properties of congruent, regular and similar quadrilaterals. G.3.4 Prove theorems involving quadrilaterals. G.4.5 Apply theorems involving segments divided proportionally. G.5.4 Solve real-world problems involving right triangles. G.8.5 Write geometric proofs, including proofs by contradiction and proofs involving coordinate geometry. Use and compare a variety of ways to present deductive proofs, such as flow charts, paragraphs, two-column, and indirect proofs. Double Blocks periods/ Date NGSSS 1 1 2 G.5.4 1 G.2.1 1 G.3.1 G.3.2 G.3.4 G.8.5 Lesson/Assignments 7.1.1 Properties of a Circle Core Problems: 7-1 through 7-3 Additional Problems: 7-4 and 7-5 Homework: 7-6 through 7-10 7.1.2 Building a Tetrahedron Core Problems: 7-11 and 7-12 Additional Problem: 7-13 Homework: 7-14 through 7-18 7.1.3 Shortest Distance Problems Core Problems: 7-19, 7-21 and 7-22 Further Guidance: 7-20 Additional Problem: 7-25 Homework: Day 1 7-26 through 7-30; Day 2 7-31 through 7-35 7.1.4 Using Symmetry to Study Polygons Core Problems: 7-36 and 7-37 Additional Problem: 7-38 Homework: 7-39 through 7-43 7.2.1 Special Quadrilaterals and Proof Core Problems: 7-44, 7-45 and 7-47 Additional Problems: 7-46 and 7-48 Homework: 7-49 through 7-53 Page 18 of 28 TE Pages Student Pages 619-622 335-338 7.1.1A Resource Page 339-342 7.1.1A Resource Page or Paper Plates Scissors Clear Tape 634-636 343-348 7.1.3 Resource Page Soup Cans String or Yarn Patty Paper 643, 644 349-351 Hinged Mirror Colored Paper Protractor 648-650 352-356 7.2.1A, B Resource Pages Masking Tape Patty Paper 627-629 Supplementary Materials HS Geometry Connections CPM CPM Geometry Connections 2012-2013 Instructional Plan 1 1 1 1 1 1 G.3.1 G.3.2 G.3.4 G.8.5 G.3.1 G.3.2 G.3.4 G.8.5 G.3.1 G.3.2 G.3.4 G.8.5 D.6.4 G.3.4 G.8.5 G.3.1 G.3.2 G.4.5 G.8.5 G.1.1 G.3.1 G.3.2 G.3.3 1 G.1.1 G.3.1 1 4 G.1.1 G.3.1 G.3.3 7.2.2 Properties of Rhombi Core Problems: 7-54 and 7-55 Additional Problem: 7-56 Homework: 7-58 through 7-62 7.2.3 More Proof with Congruent Triangles Core Problems: 7-63 and 7-64 Additional Problem: 7-65 Homework: 7-66 through 7-70 7.2.4 More Properties of Quadrilaterals Core Problems: 7-71 Homework: 7-72 through 7-76 7.2.5 Two-Column Proofs Core Problems: 7-78, 7-79, and 7-81 Additional Problems: 7-80 and 7-82 Homework: 7-83 through 7-87 7.2.6 Explore-Conjecture-Prove Core Problems: 7-88 and 7-89 Additional Problems: 7-90 through 7-92 Homework: 7-93 through 7-97 7.3.1 Studying Quadrilaterals on a Coordinate Grid Core Problems: 7-99 and 7-100 Additional Problem: 7-101 Homework: 7-102 through 7-106 7.3.2 Coordinate Geometry and Midpoints Core Problems: 7-107 through 7-109 (a through c) Further problems: 7-109 (d) Homework: 7-112 through 7-116 7.3.3 Quadrilaterals on a Coordinate Plane Core Problem: 7-118 (a and b) Further problem: 7-118 (c) Homework: 7-119 through 7-123 Closure/Assessment Vocabulary: central angle, coordinate geometry, exterior angle, midpoint, midsegment, proof, reflexive property, regular polygon, two-column proof Page 19 of 28 Hinged Mirrors, Poster Paper, Markers(optional) 656-657 356-359 662-664 359-362 668-669 363-365 Poster Paper Markers 673-674 365-368 Posters from 7-71 and 7.2.4 for Problem 7-80 685-687 369-373 571-572 373-376 Homework Problem 7-93 from Section 7.2.5 Graph Paper 691-692 376-379 Graph Paper 697-698 380-382 Graph Paper 702-704 383-387 District Assessments: HS Geometry Connections CPM CPM Geometry Connections 2012-2013 Instructional Plan Chapter 8: Polygons and Circles Benchmarks 16 Days G.2.2 Determine the measures of interior and exterior angles of polygons, justifying he method used. G.2.5 Explain the derivation and apply formulas for perimeter and area of polygons. G.2.7 Determine how changes in dimensions affect the perimeter and area of common geometric figures. G.4.4 Use properties of congruent and similar triangles to solve problems involving lengths and areas. G.6.2 Define and identify: circumference, radius, diameter, arc, arc length, chord, secant, tangent and concentric circles. G.6.5 Solve real-world problems using measures of circumference, arc length, and areas of circles and sectors. Double Blocks periods/ Date NGSSS 1 G.2.2 1 G.2.2 1 G.2.2 1 G.2.2 2 G.2.5 Lesson/Assignments 8.1.1 Pinwheels and Polygons Core Problems: 8-1, 8-3 and 8-4 Additional Problems: 8-2 and 8-5 Homework: 8-6 through 8-11 8.1.2 Interior Angles of a Polygon Core Problems: 8-12 through 8-14 Additional Problem: 8-15 Homework: 8-16 through 8-21 8.1.3 Angles of a Regular Polygon Core Problems: 8-22 through 8-24 Additional Problems: 8-25 and 8-26 Homework: 8-27 through 8-32 8.1.4 Regular Polygons and Angle Connections Core Problems: 8-33 and 8-34 Additional Problems: 8-35 and 8-36 Homework: 8-37 and 8-42 8.1.5 Finding the Area of a Regular Polygon Core Problems: 8-43, 8-45, and 8-46 Homework: Day 1 8-49 through 8-54; Day 2 8-55 through 8-60 Page 20 of 28 TE Pages Student Pages Supplementary Materials 728-735 393-397 Scissors Construction Paper Pattern Blocks (optional) 736-741 398-401 8.1.2 Resource Page 742-747 402-405 8.1.3 Resource Page Patty Paper OR Dynamic Geometry Tool 748-752 405-408 753-760 408-412 Poster Paper Overhead Transparencies Overhead Pens HS Geometry Connections CPM CPM Geometry Connections 2012-2013 Instructional Plan 1 G.2.7 G.4.4 1 G.2.7 1 1 G.6.2 G.6.5 2 G.6.5 4 8.2.1 Area Ratios of Similar Figures Core Problems: 8-61 through 8-63 Additional Problem: 8-64 Homework: 8-65 through 8-70 8.2.2 Ratios of Similarity Core Problems: 8-71 through 8-72 Additional Problems: 8-73 through 8-75 Homework: 8-76 through 8-81 8..3.1 A Special Ratio Core Problems: 8-82 and 8-83 Additional Problem: 8-84 Homework: 8-85 through 8-90 8.3.2 Area and Circumference of a Circle Core Problems: 8-91, 8-92 and 8-94 Homework: 8-96 through 8-101 8.3.3 Circles in Context Core Problems: Any 3 of the 4 problems Homework: Day 1 8-106 through 8-111 Day 2 8-112 through 8-117 Closure/Assessment 761-766 413-416 767-771 417-420 772-775 421-423 776-780 424-427 781-789 428-433 790-795 434-438 Vocabulary: apothem, arc, circumference, convex, linear scale factor, non-convex, π, remote District Assessments: interior angle, sector District Assessment (1 day) 2/4-3/8 Page 21 of 28 8.2.1 Resource page 8.2.1B Resource page Box with String or One String Per Team to Simulate Problem 8-104 HS Geometry Connections CPM CPM Geometry Connections 2012-2013 Instructional Plan Chapter 9: Solids and Construction (Section 1) Benchmarks 12 Days G.6.5 Solve real-world problems using measures of circumference, arc length, and areas of circles and sectors. G.7.1 Describe and make regular, non-regular, and oblique polyhedra and sketch the net for a given polyhedron and vice versa. G.7.5 Explain and use formulas for lateral area, surface area, and volume of three-dimensional solids. G.7.6 Identify and use properties of congruent and similar three-dimensional solids. G.7.7 Determine how changes in dimensions affect the surface area and volume of common three-dimensional geometric solids. Double Blocks periods/ Date NGSSS 1 G.7.1 G.7.5 2 G.7.1 G.7.5 2 G.7.1 G.7.5 2 G.6.5 G.7.5 G.7.6 G.7.7 2 G.7.6 G.7.7 3 Lesson/Assignments 9.1.1 Three-Dimensional Solids Core Problems: 9-1 through 9-4 Additional Problems: 9-5 and 9-6 Homework: 9-7 through 9-12 9.1.2 Volume and Surface Area of Prisms Core Problems: 9-13 through 9-15 Additional Problems: 9-16, 9-17 and 9-18 Homework: 9-19 through 9-24 9.1.3 Prisms and Cylinders Core Problems: 9-25 through 9-27 Additional Problem: 9-28 Homework: 9-29 through 9-34 9.1.4 Volumes of Similar Solids Core Problems: 9-35 and 9-36 Additional Problems: 9-37 and 9-38 Homework: 9-39 through 9-44 9.1.5 Ratio and Similarity Core Problems: 9-45 and 9-46 Additional Problem: 9-47 Homework: 9-48 through 9-53 Assessment Vocabulary: mat plan, net, oblique, surface area, volume TE Pages Student Pages Supplementary Materials 812-817 443-446 Multi Link Cubes Index Cards Graph Paper 818-824 446-450 Multi Link Cubes, Index Cards 9.1.2 Resource Page Scissors 825-827 450-453 Multilink Cubes Deck of Cards Ream of Paper 828-833 453-455 9.1.4 Resource Page Graph Paper Scissors, Tape Multilink Cubes (optional) 834-837 456-459 Tetrahedron from Problems 7-13 (optional) District Assessments: FCAT Writing (1 day) 2/26-2/28 Nine Weeks Review/Exam (2 days) 3/19-3/21 Page 22 of 28 HS Geometry Connections CPM CPM Geometry Connections 2012-2013 Instructional Plan FOURTH QUARTER 42 Days Chapter 10: Circles and Expected Value (Sections 1 & 3) Benchmarks 9 Days G.6.2 Define and identify: circumference, radius, diameter, arc, arc length, chord, secant, tangent and concentric circles. G.6.4 Determine and use measures of arcs and related angles (central, inscribed, and intersections of secants and tangents). G.6.5 Solve real-world problems using measures of circumference, arc length, and areas of circles and sectors. G.6.6 Given the center and the radius, find the equation of a circle in the coordinate plane or given the equation of a circle in center-radius form, state the center and the radius of the circle. G.6.7 Given the equation of a circle in center-radius form or given the center and the radius of a circle, sketch the graph of the circle. Double Blocks periods/ Date NGSSS 1 G.6.1 G.6.2 1 G.6.4 2 G.6.4 1 G.6.2 G.6.3 1 G.6.1 G.6.5 Lesson/Assignments 10.1.1 Introduction to Chords Core Problems: 10-1, 10-2, 10-4 Additional Problem: 10-5 Homework: 10-6 through 10-11 10.1.2 Angles and Arcs Core Problems: 10-1, 10-2 and 10-4 Additional Problem: 10-5 Homework: 10-6 through 10-11 10.1.3 Chords and Angles Core Problems: 10-23 10-24 and 10-25 Additional Problems: 10-26 and 10-27 Homework: 10-28 through 10-33 10.1.4 Tangents and Chords Core Problems: 10-34, 10-35 and 10-37 Additional Problem: 10-36 Homework: 10-38 through 10-43 10.1.5 Problems Solving with Circles Core Problems: 10-44 and 10-45 Additional Problems: 10-46 and 10-47 Homework: 10-48 through 10-53 Page 23 of 28 TE Pages Student Pages Supplementary Materials 891-896 483-486 Patty Paper Compasses and Straight Edges 9.2.1 Resource Page 897-903 487-491 Patty Paper Compasses Straight Edges 9.2.2 Resource Page 904-909 492-496 Square Tracing Paper Compasses, Straight Edges 9.2.3 Resource Page 910-914 496-499 Compasses, Straight Edges, Cardboard, Scissors, Glue, Copy Paper 915-920 499-502 HS Geometry Connections CPM CPM Geometry Connections 2012-2013 Instructional Plan 1 G.6.6 G.6.7 2 10.3.1 The Equation of a Circle Core Problems: 10-87 and 10-88 Additional Problems: 10-89, 10-90 and 10-91 Homework: 10-92 through 10-97 937-942 514-517 Assessment Vocabulary: District Assessments: Page 24 of 28 Compasses, Straight Edges, Cardboard, Scissors, Glue, Copy Paper HS Geometry Connections CPM CPM Geometry Connections 2012-2013 Instructional Plan Chapter 11: Solids and Circles (Section 1) Benchmarks 8 Days G.6.2 Define and identify: circumference, radius, diameter, arc, arc length, chord, secant, tangent and concentric circles. G.6.4 Determine and use measures of arcs and related angles (central, inscribed, and intersections of secants and tangents). G.7.2 Describe the relationships between the faces, edges, and vertices of polyhedra. G.7.4 Identify chords, tangents, radii, and great circles of spheres. G.7.5 Explain and use formulas for lateral area, surface area, and volume of three-dimensional solids. Double Blocks periods/ Date NGSSS 2 G.7.2 1 G.7.5 2 G.7.5 1 G.7.5 1 G.7.5 1 Lesson/Assignments 11.1.1 Platonic Solids Core Problems: 11-1 through 11-4 Additional Problems: 11-5 through 11-7 Homework: Day 1 11-8 through 11-13; Day 2 11-14 through 11-19 11.1.2 Pyramids Core Problem: 11-20 Additional Problems: 11-21 and 11-22 Homework: 11-23 through 11-28 11.1.3 Volume of a Pyramid Core Problems: 11-29 through 11-33 Additional Problem: 11-34 Homework: Day 1 11-35 through 11-40 Day 2 11-41 through 11-46 11.1.4 Surface Area and Volume of a Cone Core Problems: 11-48 through 11-50 Additional Problem: 11-51 Homework: 11-52 through 11-57 11-1.5 Surface Area and Volume of a Sphere Core Problems: 11-59 through 11-62 Additional Problem: 11-63 Homework: 11-64 through 11-69 Assessment Vocabulary: TE Pages Student Pages 961-972 527-532 11.1.1 Resource Page Cubical Models (optional) Computers with Internet Access 973-978 533-535 11.1.2 Resource Page Scissors, Tape, and Glue Yarn or String (optional) 979-987 536-541 Models Built in 11.1.2 Poster Paper and Markers 988-993 541-544 Conical Paper Party Hats Rulers 994-999 545-548 Bubbles (optional) Globe (optional) Models of Solids (optional) District Assessments: Page 25 of 28 Supplementary Materials HS Geometry Connections CPM CPM Geometry Connections 2012-2013 Instructional Plan Chapter 9: Solids and Construction (Section 2) Benchmarks 7 Days G.1.2 Construct congruent segments and angles, angle bisectors, and parallel and perpendicular lines using a straight edge and compass or a drawing program, explaining and justifying the process used. G.4.1 Classify, construct, and describe triangles that are right, acute, obtuse, scalene, isosceles, equilateral, and equiangular. G.4.2 Define, identify, and construct altitudes, medians, angle bisectors, perpendicular bisectors, orthocenter, centroid, incenter, and circumcenter. G.4.3 Construct triangles congruent to given triangles. G.8.6 Perform basic construction using straightedge and compass, and/or drawing programs describing and justifying the procedures used. Distinguish between sketching, constructing and drawing geometric figures. Double Blocks periods/ Date NGSSS 2 G.4.2 G.8.6 2 G.4.1 G.8.6 1 G.4.1 G.4.2 G.4.3 G.8.6 1 G.1.2 G.8.6 1 Lesson/Assignments 9.2.1 Introduction to Construction Core Problems: 9-54 through 9-56 Additional Problem: 9-57 Homework: 9-58 through 9-63 9.2.2 Constructing Bisectors Core Problems: 9-64 through 9-66 Additional Problem: 9-67 Homework: 9-68 through 9-73 9.2.3 More Exploration with Construction Core Problems: 9-74 through 9-76 Additional Problems: 9-77 and 9-78 Homework: 9-79 through 9-84 9.2.4 Finding a Centroid Core Problems: 9-85 through 9-87 Additional Problem: 9-88 Homework: 9-89 through 9-94 Closure/Assessment TE Pages Student Pages Supplementary Materials 838-844 459-462 Patty Paper Compasses and Straight Edges 9.2.1 Resource Page 845-850 463-465 Patty Paper Compasses Straight Edges 9.2.2 Resource Page 851-856 466-469 Square Tracing Paper Compasses, Straight Edges 9.2.3 Resource Page 863-870 470-473 Compasses, Straight Edges, Cardboard, Scissors, Glue, Copy Paper 863-870 473-477 Vocabulary: centroid, compass, concentric circles, construction, cylinder, inscribed, irrational District Assessments: number, lateral face, polyhedra, prism FCAT Testing (2 days) 4/15 – 4/26 Page 26 of 28 HS Geometry Connections CPM CPM Geometry Connections 2012-2013 Instructional Plan Chapter 11: Solids and Circles (Section 2) Benchmarks 6 Days G.6.2 Define and identify: circumference, radius, diameter, arc, arc length, chord, secant, tangent and concentric circles. G.6.4 Determine and use measures of arcs and related angles (central, inscribed, and intersections of secants and tangents). G.7.2 Describe the relationships between the faces, edges, and vertices of polyhedra. G.7.4 Identify chords, tangents, radii, and great circles of spheres. G.7.5 Explain and use formulas for lateral area, surface area, and volume of three-dimensional solids. Double Blocks periods/ Date NGSSS 1 G.7.4 2 G.6.2 G.6.4 2 G.6.2 G.6.4 1 Lesson/Assignments 11.2.1 Coordinates on a Sphere Core Problems: 11-70 through 11-72 Additional Problem: 11-73 Homework: 11-74 through 11-79 11.2.2 Tangents and Arcs Core Problems: 11-81 through 11-83 Homework: 11-84 through 11-89 11.2.3 Secant and Tangent Relationships Core Problems: 11-91, 11-92, 11-93, 11-94 Additional Problem: 11-95 Homework: Day 1 11-96 through 11-101 Day 2 11-102 through 11-107 Closure/Assessment Vocabulary: cone, cross-section, edge, equator, great circle, hemisphere, latitude, longitude, octahedron, platonic solid, pyramid, slant height, tetrahedron Page 27 of 28 TE Pages Student Pages 1000-1006 548-553 1007-1011 553-556 1012-1021 556-563 1022-1028 564-568 District Assessments: Supplementary Materials 11.2.1 Resource Page Oranges or Styrofoam Balls Colored Markers Rubber Bands, Pushpins 11.2.2 Resource Page Colored Pens or Pencils Rulers Dynamic Geometry Tool HS Geometry Connections CPM CPM Geometry Connections 2012-2013 Instructional Plan Chapter 10: Circles and Expected Value (Sections 2) Benchmarks Double Blocks periods/ Date 1 1 1 1 NGSSS 4 Days Lesson/Assignments 10.2.1 Designing Spinners Core Problems: 10-53 through 10-55 Additional Problems: 10-56 and 10-57 Homework: 10-58 through 10-63 10.2.2 Expected Value Core Problems: 10-64 through 10-66 Additional Problems: 10-67 and 10-68 Homework: 10-69 through 10-74 10.2.3 More Expected Value Core Problems: 10-76 through 10-78 Additional Problems: 10-79 and 10-80 Homework: 10-81 through 10-86 Closure/Assessment TE Pages Student Pages Supplementary Materials 921-925 502-507 Patty Paper Compasses and Straight Edges 9.2.1 Resource Page 507-509 Patty Paper Compasses Straight Edges 9.2.2 Resource Page 933-936 510-513 Square Tracing Paper Compasses, Straight Edges 9.2.3 Resource Page 943-948 518-522 926-932 Vocabulary: arc length, arc measure, chord, circumscribed, expected value, fair, major arc, minor arc, secant, semicircle, weighted average District Assessments: ePAT (1 day) End of Course Exam (1 day) 4/29-5/3 Nine Week Assessment (4 days) 5/23 – 5/29 Page 28 of 28