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PACING GUIDE - NPS/CT/CCSS - GEOMETRY Week One High School Geometry Unit 1 Understand and use the basic defined and undefined terms of geometry (points, line plane, collinear, coplanar, line segment, ray, vertex, endpoint) (CC.9-12. G. GPE.5) Week Two Resource: Vocabulary Template – Frayer Model Updated- 5/16/2014 4 weeks + 1 week for re-teaching/enrichment Graph points, lines, line segments, rays, and define coordinate points (CC. 9-12.G.CO.1) Slope formula and equation of a line Horizontal and vertical (CC.9-12. G. GPE.5) Derive the distance formula from the Pythagorean Theorem (CC.9-12.G.GP E.5) Common Formative Resource: Graphing and Distance Formula HW: Distance Formula Graph lines, intersections, form polygons through investigation stations (CC.9-12. G. GPE.4) Formal definitions and discussion of: rectangle, parallelogram and trapezoid (CC.9-12. G. GPE.4) Resource: Quadrilateral Investigation Resource: Quadrilateral Properties HW: Identify Quadrilaterals Discovery of parallel and perpendicular lines 25 days (CC. 9-12.G.CO.1) Formal definition of parallel and perpendicular lines and apply (CC. 9-12.G.CO.1) Resource: Graphing Lines Equations of Lines, Assessment HW: Graphing Lines Resource: Investigating Parallel and Perpend. Lines Resource: Investigating Parallel and Perp Lines-Day 2 HW: Parallel and Perp Lines HW: Parallel and Perp Lines-Day 2 Formal Assessment Investigation: Given segments with two endpoints and pit on a segment generalize a relationship algebraically (CC.9-12. G. GPE.6) Compute area and perimeter of polygons in the coordinate plane (CC.9-12. G. GPE.7) Resource: Midpoint formula and partition of a line (CC.9-12. G. GPE.6) Resource: Segment Addition and Midpoint Resource: Perimeter and Area Enrichment Perimeter and Area Week Four Week Three Investigation: If a Solid definitions point lies on the Discussion circle with the center Angles at (0,0) and a radius (CC.9-12. G. GPE.4) of 2 (CC.9-12. G. GPE.4) Central Angles and arc length (CC. 9-12.G.CO.1) Practice/Access Investigation with reflections (CC. 9-12.G.CO.4) (CC. 9-12.G.CO.5) Function rule (x,y) becomes (-x,y) or (x,-y) Pythagorean Theorem, distance formula, equation of a circle. (CC.9-12. G. GPE.4) Resource: Dialogue Learning with Circles Equation of Circle Investigation Resource: Parts of a Circle HW: Time Spent Circle Graph Resource: Arc Investigations (HW included) Resource: Arc Length and Sector Formulas (HW included) Investigation with translations (CC. 9-12.G.CO.4) (CC. 9-12.G.CO.5) Investigation with rotations (CC. 9-12.G.CO.4) (CC. 9-12.G.CO.5) Practice /Application Practice/Application Function rule (x,y) becomes (x+a,y+b) (CC. 9-12.G.CO.2) Function rule (x,y) becomes (y,-x) 90deg or (-y,x) 90deg counter or (-x,-y) 180deg (CC. 9-12.G.CO.2) Resource: Investigating Translations (Patty Paper) Resource: Investigating Rotations (Patty Paper) Resource: Investigating Reflections (Patty Paper) Assessment Compare transformations of those that preserve distance and angle, compared to those that do not preserve distance (CC. 9-12.G.CO.2) (CC. 9-12.G.CO.3) Resource: Transformations practice (a, b, c and d) Resource: Investigating Dilations (with enrichment) Resource: Unit 1 Assessment Week Five (Objective) (Objective) (Objective) (Objective) (Objective) (Standard #) (Standard #) (Standard #) (Standard #) (Standard #) (Resource) Performance Task: Baseball Diamond (Resource) (Resource) (Resource) (Resource) High School Geometry Unit 2 Measuring Segments, Bisect, Midpoint, Segment Bisector Week One SWBAT: Determine and define the segment bisector by creating line segments using patty paper. SWBAT: Practice and apply finding the segment bisector of a line segment. (CC.9-12. G. G.CO.9) Resource: Patty Paper Geometry “Folding the Basic Geometric Construction” pg. 15 5 weeks + 1 week for re-teaching/enrichment Segment Bisectors with Algebra Measuring -- Angle Bisectors – Algebra Angle Bisectors Algebra SWBAT: Use properties of segment bisectors to solve algebraic equations. SWBAT: Determine and define the angle bisector by creating angles using patty paper. SWBAT: Use properties of angle bisectors to solve algebraic equations. (CC.9-12. G. G.CO.9) Resource: Kuta Software: “Segment Bisectors” SWBAT: Practice and apply finding the angle bisector of an angle. (CC.9-12. G. G.CO.9) Resource: Patty Paper Geometry “Folding An Angle Bisector” pg. 17 (CC.9-12. G. G.CO.9) Resource: Kuta Software: “Angle Bisector of Triangles” 30 days Perpendicular Bisectors SWBAT: Determine and define the perpendicular bisector by creating line segments using patty paper. SWBAT: Practice and apply finding the perpendicular bisector of a segment. (CC.9-12. G. G.CO.9) Resource: Resource: Patty Paper Geometry “Folding The Perpendicular Bisector Of A Line Segment” pg. 19 Week Two Assess Bisectors SWBAT: Demonstrate mastery of segment, angle and perpendicular bisectors using an exit ticket. (CC.9-12. G. G.CO.9) Complementary & Supplementary Angles SWBAT: Use properties of complementary and supplementary angles. (CC.9-12. G. G.CO.9) Resource: Geometry, McDougal Litell, p.47-50 Resource: Linear Pair & Vertical Angles SWBAT: Determine and define properties of linear pair and vertical angles using patty paper. (CC.9-12. G. G.CO.9) Resource: Patty Paper Geometry, “Vertical Angles” pg. 9 and “Adjacent Angles and linear Pairs” pg. 10 Independent Practice Review Independent Practice / Quiz SWBAT: Apply properties of angles to solve algebraic problems (CC.9-12. G. G.CO.9) (CC.9-12. G. G.CO.9) Resource: Resource: 1.6 Practice A, B, & C Worksheet from Teacher Resource Book Week Three Relationships Corresponding, Alternate Interior, Alternate Exterior, Consecutive Angles (CC.9-12. G. G.CO.9) Discovery Parallel Lines & Transversals – Relationships Corresponding, Alternate Interior, Alternate Exterior, Consecutive Angles Guided Practice – Parallel Lines & Transversals – Relationships Corresponding, Alternate Interior, Alternate Exterior, Consecutive Angles (CC.9-12. G. G.CO.9) (CC.9-12. G. G.CO.9) Resource: Independent Practice – Parallel Lines & Transversals – Relationships Corresponding, Alternate Interior, Alternate Exterior, Consecutive Angles (CC.9-12. G. G.CO.9) Resource: Resource: Resource: Review and Quiz (CC.9-12. G. G.CO.9) Resource: Week Four Corresponding Sides and Angles Triangle Congruency – Congruent Statement (CC.9-12. G. G.CO.7) (CC.9-12. G. G.CO.7) *(CC.9-12.G.CO.6) (consider if time permits) SSS and SAS SSS and SAS ASA and AAS (CC.9-12. G. G.CO.8) (CC.9-12. G. G.CO.8) (CC.9-12. G. G.CO.8) Resource: Resource: Resource Resource: Week Six Week Five Resource: (optional) 7.4B Practice Worksheet from Teacher Resource Book ASA and AAS HL HL Review for Test Test (CC.9-12. G. G.CO.8) (CC.9-12. G. G.CO.8) (CC.9-12. G. G.CO.8) (CC.9-12. G. G.CO.8) (CC.9-12. G. G.CO.8) Resource: Resource) (Resource) (Resource) Resource) (Objective) (Objective) (Objective) (Objective) (Objective) (Standard #) (Standard #) (Standard #) (Standard #) (Standard #) (Resource) (Resource) (Resource) (Resource) (Resource) High School Geometry Unit 3 Week One Week Two Week Three 4 weeks + 1 week for re-teaching/enrichment 25 days (Objective) By the end of class students will be able to: Understand the triangle sum thrm. (Objective) Find the measures of unknown angles in triangles. (Objective) Find the measures of unknown angles in triangles within more complex figures. (Objective) Find the measures of unknown angles in triangles using algebraic expressions. (Objective) QUIZ CC.9-12.G.CO.10 CC.9-12.G.CO.10 CC.9-12.G.CO.10 CC.9-12.G.CO.10 CC.9-12.G.CO.10 (Resource) (Resource) (Resource) (Resource) (Resource) (Objective) Identify the properties of a triangle’s midsement. (Objective) Construct and graph a triangle’s midsegment. (Objective) Verify the midsegment of a triangle from a graph. (Objective) (Objective) Use the properties of QUIZ a midsegment to solve real-life and algebraic problems. CC.9-12.G.CO.10 CC.9-12.G.CO.10 CC.9-12.G.CO.10 CC.9-12.G.CO.10 (Standard #) (Resource) (Resource) (Resource) (Resource) (Resource) (Objective) Identify and find the equation of a median of a triangle. (Objective) Find the centroid of a triangle. (Objective) Generate the concurrency of medians theorem. (Objective) Verify the concurrency of medians theorem. (optional) (Objective) QUIZ CC.9-12.G.CO.10 CC.9-12.G.CO.10 CC.9-12.G.CO.10 CC.9-12.G.CO.10 CC.9-12.G.CO.10 (Resource) (Resource) (Resource) (Resource) (Resource) Week Four Week Five (Objective) Prove the opposite sides and angles of a parallelogram are congruent. Use these properties to solve problems. (Objective) Prove the diagonals of a parallelogram bisect each other. Use this property to solve problems. (Objective) Prove that a quadrilateral is a parallelogram. (Objective) Draw, hypothesize and verify the diagonals of a rectangle. (Objective) QUIZ CC.9-12.G.CO.11 CC.9-12.G.CO.11 CC.9-12.G.CO.11 CC.9-12.G.CO.11 CC.9-12.G.CO.11 (Resource) (Resource) (Resource) (Resource) (Resource) (Objective) (Objective) (Objective) (Objective) (Objective) (Standard #) (Standard #) (Standard #) (Standard #) (Resource) (Resource) (Resource) (Resource) (Standard #) (Resource) Week Five: Re-teach or enrich (consider teaching construction of regular polygons inscribed in a circle) CC.9-12.G.CO.13 Week One High School Geometry Unit 4 5 weeks + 1 week for re-teaching/enrichment SWBAT: define and recognize the relationship of similar triangles through inquiry SWBAT: determine if triangles are similar and identify corresponding parts of similar triangles SWBAT: discover AA similarity postulate and generate and prove other similarity postulates and theorems. SWBAT: discover AA similarity postulate and generate and prove other similarity postulates and theorems. (Standard #)CC.912.G.SRT. 5 (Standard #) CC.9-12.G.SRT. 5 (Standard #) CC.912.G.SRT. 3 (Standard #) CC.912.G.SRT. 3 (Resource) – “Similar Triangle Investigation” (Resource) Worksheet: “Triangle Similarity” http://curriculum.austi “Triangle Similarity nisd.org/math/hs/geo/ Through Proportional documents/4_6wks/M Sides Homework” _Geo_4th_6wks_RS C_Triangle_similarity _Activity.pdf “Triangle Similarity Investigation Conclusion and Notes” (Resource) Worksheet: “AA Discovery” “AA Similarity Postulate, SSS, SAS Similarity Theorems” “AA Postulate, SSS, SAS Theorems and Homework” (Resource) Worksheet: “AA Discovery” “AA Similarity Postulate, SSS, SAS Similarity Theorems” “AA Postulate, SSS, SAS Theorems and Homework” 25 days SWBAT: find missing sides of triangles using similarity (Standard #) CC.912.G.SRT. 5 (Resource) Worksheet: “Proportions and Similar Triangles” “Height Investigation” “Homework Proportions and Similar Triangles” Review Assessment Standard #) CC.912.G.SRT. 5 (Standard #) CC.912.G.SRT. 3 Standard #) CC.912.G.SRT. 5 (Standard #) CC.912.G.SRT. 3 SWBAT: discover triangle proportionality theorems and use to prove the Pythagorean Theorem Week Two (Standard #) CC.912.G.SRT. 4 (Resource) Worksheets: “ Similar Triangles and Pythagorean Theorem “Discovery Proportionality with Parallel Lines-Practice and Homework” ” SWBAT: prove the similarity of altitudes and medians for similar triangles (Standard #) CC.912.G.SRT. 4 (Resource) Worksheet: “Angle Bisector Proportionality Investigation” SWBAT: recognize the ratio of the sides of similar triangles is equal to the ratio of the perimeters, and the squares of the sides is the ratio of the areas (Standard #) CC.912.G.SRT. 4 (Resource) Worksheet: “Perimeter and Area of Similar Polygons Discovery-PracticeHomework” Ratio of Lengths, Areas Additional Practice “Ratio of Perimeter and Area Quiz” SWBAT: understand dilation images of figures Week Three (Standard #) CC.912.G.SRT. 1 Independent practice/review (Standard #) CC.9-12.G.SRT. 5 CC.9-12.G.SRT. 4 CC.9-12.G.SRT. 1 ASSESSMENT (Standard #) CC.9-12.G.SRT. 5 CC.9-12.G.SRT. 4 CC.9-12.G.SRT. 1 (Resource) (Resource) Worksheet: “Investigating Properties of Dilations-PracticeHomework” Extension Activity: “Drawing Dilations” CFA: “ Dilations” SWBAT: prove theorems about triangle similarity through investigation (Standard #)CC.912.G.SRT.4 SWBAT: identify geometric mean and prove altitudes and legs are geometric means of right triangles (Resource) (Resource “Altitude Proportionality in Right Triangles” notecard activity- 9.1 Honors Geom. book (Standard #)CC.912.G.SRT.4 (Resource) “Geometric Mean Proportionality” “Geometric Mean Proportionality Part2 and Homework” SWBAT: discover special right triangles properties Week Four (Standard #)CC.912.G.SRT.6 (Resource) “Special Right Triangle Relationships Investigation” SWBAT: use trigonometric ratios to solve right triangles and recognize the relationship between the sine and cosine of complementary angles of a right triangle SWBAT: use trigonometric ratios to solve right triangles and recognize the relationship between the sine and cosine of complementary angles of a right triangle (Standard #)CC.912.G.SRT.8 (Standard #)CC.912.G.SRT.8 Resource: section 9.4 – honors Worksheet: geo book “Intro to Trig Ratios” “Intro to Trig Ratios Practice” “Intro to Trig Ratios Homework” C.9-12.G.SRT.7 (Resource) Independent Practice/Review (Standard #)CC.912.G.SRT.6 (Standard #)CC.912.G.SRT.8 (Standard #)CC.912.G.SRT.4 Assessment Week Five SWBAT: solve application problems using trigonometric ratios, including angles of elevation and depression (Standard #) CC.912.G.SRT.8 SWBAT: solve application problems using trigonometric ratios, including angles of elevation and depression Assessment UNIT REVIEW (Standard #) (Standard #) (Resource) (Resource) (Standard #) (Standard #) CC.912.G.SRT.8 (Resource) (Resource) Worksheet: “Solving Word Problems Using Trig Ratios” Solving Trig Performance Task” Week Six SWBAT: discover and apply the inverse functions to trigonometric ratios (Resource) Worksheets: “Inverse Trig Ratio Discovery and Practice” “Inverse Trig Ratio Homework” UNIT REVIEW UNIT TEST (Objective) (Objective) (Objective) (Standard #) (Standard #) (Standard #) (Standard #) (Standard #) (Resource) (Resource) (Resource) (Resource) (Resource) * Schedule assessment based on PLC discussion and data Geometry, Unit 5 – “Circles and Other Conic Sections” ; 4 weeks + 1 week for re-teaching/enrichment Week One Parts of a Circle: Radius, diameter, chord, secants Circumference and area (Objective) (SWBAT) By the end of class students will be able to: Find the area and circumference of a circle using diameter and radius Prove all circles are similar CFA (Objective) SWBAT: prove all triangles are similar using radius, diameter, circumference, and/or area Apply properties of scale factors Arcs and central angles Derive: Area of sectors (Objective) SWBAT: Find the measures of arcs and central angles. Find arc lengths and identify major arcs, minor arcs, semi-circles, adjacent arcs Use relationship between arc and angles to find measures Relationships between arcs, cords and diameters. CFA (Objective) SWBAT: Derive and apply area of a sector. Find area of circles Find the radius of a circle when given area of a sector and the central angle (Standard #) 25 days Radian Measure (activity) (Objective) SWBAT: develop an understanding of radian measure as compared to degree measure (Standard #) CC.9-12.G.C.5 (Resource) CC.9-12.G.C.5 Define parts of circles (Standard #) CC.9-12.G.C.1 (Standard #) CC.9-12.G.C.2 (Resource) See Unit #1 or Teacher selected. Geom. “A” book (McDougal Littell), Chps. 1, 10 &11 (Resource) See Unit #1 or Teacher selected. Geom. “A” book (McDougal Litell), Chps. 1, 10 &11 (Standard #) CC.9-12.G.C.2 CC.9-12.G.C.5 (Resource) See Unit #1 or teacher selected. Geom. “A” book (McDougal Litell), Chps. 1, 10 &11 (Resource) See Unit #1 or Teacher selected. Geom. “A” book (McDougal Litell), Chps. 1, 10 &11 Teacher generated or KUTA Radian Measure CFA Inscribed angles, intercepted arcs, (Activity) Tangents CFA? Week Two (Objective) SWBAT: convert between radian measure and degree measure (Objective) SWBAT: find measure of inscribed angles and inscribed polygons (Standard #) (Standard #) CC.9-12.G.C.5 CC.9-12.G.C.2 (Resource) Teacher generated or KUTA (Resource) Geom. “A” book (McDougal Litell), Activity 10.3 (p. 612) – “Investigating Inscribed Angles” Derive: arc intercepted by an angle is proportional to the radius (investigation) (Objective) SWBAT: use properties of tangents and solve problems involving circumscribed polygons Identify tangent, use tangent to find missing values (Objective) SWBAT: derive a proportion relating the intercepted arc to the radius of a circle (Standard #) (Standard #) CC.9-12.G.C.2 CC.9-12.G.C.2 (Resource) Geom. “A” book (McDougal Litell), 10.1 – p. 595 or Kuta software (Resource) Teacher generated or KUTA Derive: central angles Inscribed angles Circumscribed angles (investigation) (Objective) SWBAT: use the relationship between central angles, inscribed angles, circumscribed angles and their arcs. (Standard #) CC.9-12.G.C.2 (Resource) Teacher generated or KUTA Apply properties of angles Week Three Assessment (Objective) SWBAT: apply properties of central angles, inscribed angles, and circumscribed angles as they relate to their arcs (Standard #) CC.9-12.G.C.2 (Resource) Assessment = Teacher generated – Book or Kuta software Construct: inscribed and circumscribed triangles Construct: inscribed and Equation of a circle circumscribed polygons. (investigation) Use Pythagorean Assessment Theorem (project/choice based) (Objective) (Objective) SWBAT: construct an (Objective) SWBAT: derive the inscribe and SWBAT: construct an equation of a circle circumscribed triangle inscribe and given the center and and apply properties circumscribed polygons radius using the of the elements and apply properties of Pythagorean Theorem. (angles, cords, ect.) of the elements (angles, a circle cords, ect.) of a circle Graph a circle on the (Standard #) coordinate plane CC.9-12.G.C.3 (Standard #) CC.9-12.G.C.3 (Standard #) (Resource) CC.9-12.G.GPE.1 * See Binder – (Resource) Discovering (in Binder) (Resource) Geometry, Challenging = Honors Teacher generated or “Condensed Lesson Geom. book - p.565, KUTA 3.7” (in Binder) “Exploration & Extension” – Circumscribed Polygons and Circles Easier = Honors Geom. book, p. 478 – “Making Conjectures About Circles” Equation of a circle CFA-relationship of equation of a circle and Pythagorean Theorem (Objective) SWBAT: graph, apply and create equations of circle (Standard #) CC.9-12.G.GPE.1 (Resource) Teacher generated or KUTA Week Four Find the center and radius Use Complete the square (Objective) SWBAT: find the center and radius of a circle using complete the square (Standard #) Prove Simple geometric theorems algebraically CC.9-12.G.GPE.1 Prove/disprove 4 points make a rectangle Prove simple geometric theorems algebraically Derive equation of a parabola given focus and directrix CFA (Objective) SWBAT: prove simple geometric theorems algebraically in the coordinate plane (Resource) Geom. “A” book (McDougal Litell), Prove/disprove a 10.6 – “Equations of given point lies on a Circles” given circle (Objective) SWBAT: prove simple geometric theorems algebraically in the coordinate plane Prove/disprove 4 points make a rectangle (Objective) SWBAT: derive the equation of a parabola given the focus and directrix. Derive/apply equation of a parabola given focus and directrix (Objective) (Standard #) SWBAT: derive the equation of a parabola given the focus and directrix. CC.9-12.G.GPE.2 (Standard #) (Resource) Prove/disprove a given point lies on a given circle CC.9-12.G.GPE.2 (Resource) (Standard #) Week Five (Standard #) CC.9-12.G.GPE.4 CC.9-12.G.GPE.4 (Resource) (Resource) (Objective) (Objective) (Objective) (Objective) (Objective) (Standard #) (Standard #) (Standard #) (Standard #) (Standard #) (Resource) (Resource) (Resource) (Resource) (Resource) Geometry, Unit 6 – “Extend to Three Dimensions”; 4 weeks + 1 week for re-teaching/enrichment, 25 days * Follow this daily order exactly or see “Teacher Notes” in Binder for optional pacing – Either way, all topics are addressed. SWBAT: discover the volume formula for prisms and cylinders Week One SWBAT: Identify correct volume formulas prisms and cylinders (Standard #) CC.9-12.G.GMD.1 CC.9-12.G.GMD.4 CC.9-12.G.GMD.3 (Resource) Teacher generated OR Big Ideas Geometry, 11.4, p. 617-622 (in Binder) SWBAT: discover Cavalieri’s Principle SWBAT: use Cavalieri’s principle to derive formulas *rotations and cross sections (Standard #) CC.9-12.G.GMD.1 (Resource) Honors Geom. Book – chp. 12 - p. 608 (Volume of a Prism and a Cylinder – Cavalieri’s Principle) (in Binder) SWBAT: Find volume of cylinders and prisms SWBAT: Use volume formulas to find missing dimensions of cylinders, prisms (Standard #) CC.9-12.G.GMD.3 (Resource) NCTM Illuminations“Popcorn Anyone” http://illuminations.nctm. org/LessonDetail.aspx?id= L797 (Also in Binder) SWBAT: Discover the relationship between the volume of pyramids and prims SWBAT: Discover the relationship between the volume of cones and cylinders (Standard #) CC.9-12.G.GMD.3 (Resource) Discovering Geometry, chp. 10 – Condensed Lesson 10.1, “Geometry of Solids” (in Binder and at website below) SWBAT: Find volume of cylinders, pyramids, cones, and prisms SWBAT: Use volume formulas to find missing dimensions of cylinders, pyramids, cones, and prisms (Standard #) CC.9-12.G.GMD.3 (Resource) Kuta Software Geometry http://math.kendallhunt.com Textbooks or /documents/dg4/Condensed *Honors Geom. Lessons/DG4CL_895_10.pdf Book, 12.4/12.5 – pages 607 – 618, (See Teacher Notes & Binder “Volume of Prisms for additional and Cylinders” suggestions/activities.) SWBAT: Use volume formulas to find missing dimensions of prisms, cylinders, pyramids and cones SWBAT: Use volume formulas to find missing dimensions of prisms,, cylinders, pyramids and cones SWBAT: Use volume formulas to find missing dimensions of prisms, cylinders, pyramids and cones Assessment (Standard #) CC.9-12.G.GMD.3 Week Three Week Two Teacher generated (Standard #) CC.9-12.G.GMD.3 (Standard #) CC.9-12.G.GMD.3 (Standard #) CC.9-12.G.GMD.3 (Resource) Kuta Software Geometry Textbooks (Resource) Kuta Software Geometry Textbooks (Resource) Kuta Software Geometry Textbooks *Honors Geom. Book, *Honors Geom. Book, 12.4/12.5 – pages 607 12.4/12.5 – pages 607 – – 618 618 (in Binder) (in Binder) *Honors Geom.book, 12.4/12.5 – pages 607 – 618 (in Binder) SWBAT: Use volume formulas to find missing dimensions of spheres SWBAT: determine whether solids are congruent or similar SWBAT: use scale factors to determine if two solids are similar (Standard #) CC.9-12.G.GMD.3 (Standard #) CC.9-12.G.GMD.1 (Resource) Kuta software Geometry Textbook *Honors Geom .book, 12.6 – pages 620-625 (in Binder) (Resource) -Honors Geom. Book, 12.7, p. 626-628: “Extended Application: Similar Solids” or - Kuta Software SWBAT: construct solids that are similar (Standard #) CC.9-12.G.GMD.1 (Resource) Kuta software SWBAT: Discover the formula for the volume of a sphere *make connections between properties of circles and spheres (Standard #) CC.9-12.G.GMD.3 (Resource) (Resource) Investigating with Relational GeoSolids or Big Ideas Geometry, 11.8 - p. 647, “Exploration #2” (See Binder for copy) SWBAT: use similarity and congruence of solids to solve real world volume problems (Standard #) CC.9-12.G.GMD.1 (resource) Geom. “A” book (McDougal Litell), p. 834 (Comparing volumes of two different solids) Review Assessment Week Five Week Four SWBAT: determine when different solids have the same volume (Standard #) CC.9-12.G.GMD.1 (Resource) SWBAT: model volume based on real world applications *include unit conversions (Standard #) CC.9-12.G.GMD.2 Teacher generated (Resource) Teacher generated or KUTA SWBAT: SURFACE AREA INTERDISCIPLANRY * Surface Area is UNIT….to review and optional – It is NOT in enrich the CT Common Core curriculum, but the team (ex) - Population felt that a review was Density worthwhile either at the Water Displacement beginning or end of Unit Maps #6 (Standard #) (Resource) ** See “Teacher Notes”(in binder) for details SWBAT: model volume based on real world applications Unit REVIEW UNIT ASSESSMENT SURFACE AREA (Objective) (Objective) * Surface Area is optional – It is NOT in the CT Common Core Geometry curriculum, but the team felt that a review was worthwhile either at the beginning or end of Unit #6 (Standard #) (Standard #) (Resource) (Resource) (Standard #) CC.9-12.G.GMD.2 (Resource) Teacher generated or KUTA ** See “Teacher Notes”( in Binder) for details Geometry, Unit 7 – “Applications of Probability”; 3 weeks + 1 week for re-teaching/enrichment SWBAT calculate experimental and theoretical probability. Week One (CC.9-12.S.CP.1) (RESOURCE) Alg I book (green PH) (in Binder) 4-5, p. 210 “Investigation Understanding Probability” Or Big Ideas Algebra II, 10.1, p537 (See Binder) HW – practice problem SWBAT calculate experimental and theoretical probability. Vocabulary: Introduction and example SWBAT create sample spaces using various methods. (CC.9-12.S.CP.1) Glenco p 899-901 Group SWBAT create sample spaces, calculate experimental and theoretical probability. Independent Practice: (CC.9-12.S.CP.1) (CC.9-12.S.CP.1) (RESOURCE) Alg. I book (green PH) (p 210-213 vocab & example) (in Binder) Or Big Ideas Algebra II, 10.1, p. 542 (See Binder) Algebra I (PH green), p 219, sec 4-6 (in Binder) HW, p 214 Alg. I book (green PH) (Resource) Algebra I (green PH), p 219, sec. 4-6 (in Binder) Big Ideas Algebra II, 10.2, p 545 Big Ideas Algebra II, 10.2, (See Binder) p 545 (see Binder) 20 days Quiz (CC.9-12.S.CP.1) (Resource) Teacher generated Or (See Binder for premade Unit #7, Quiz 1.) Week Two Week Three SWBAT calculate conditional probability utilizing the formula P (A and B) / P(B) SWBAT calculate conditional probability utilizing the formula P (A and B) / P(B) SWBAT calculate conditional probability utilizing the formula P (A and B) / P(B) SWBAT calculate conditional probability utilizing the formula P (A and B) / P(B) Quiz (see Binder) (Big Ideas Algebra II, p. 562, #1-9 (CC.9-12.S.CP.3) (CC.9-12.S.CP.3) (CC.9-12.S.CP.3) (CC.9-12.S.CP.3) (CC.9-12.S.CP.3) (Resource) CCGPS, “Introduction to Conditional Probability”, part 2, p. 20 (See Binder for ALL CCGPS activities) (Resource) CCGPS, “A Formula for Conditional Probability”, part 3, p. 23 (See Binder for ALL CCGPS activities) (Resource) CCGPS, “Box Office”, part 4, p. 24 (See Binder for ALL CCGPS activities) (Resource) Ice Cream”, part 5, p. 25 (See Binder for ALL CCGPS activities) SWBAT calculate probabilities of disjoint and overlapping events. SWBAT design a Review for Assessment simulation using a random digit generator (Resource) teacher generated OR (CC.9-12.S.CP.6) Big Ideas Algebra II, p. 586-7, 10.1, 10.2 & 10.4 P(AorB)= P(A) + (See Binder) P(B) – P(AandB) (CC.9-12.S.CP.6) P(AorB)= P(A) + P(B) – P(AandB) (Resource) Big Ideas Algebra II, sec. 10.4, p. 563 (See Binder) (Resource) Big Ideas Algebra II, sec. 10.4, p. 563 (See Binder) Review for Assessment (Resource) Assessment. Teacher generated (Resource) teacher generated OR Big Ideas Algebra II, p. 586-7, 10.1, 10.2 & 10.4 (See Binder) (Resource) Teacher generated Week Four SWBAT construct and interpret twoway frequency tables of data when two categories are associated with each object being classified. Sampling Project (CC.9-12.S.CP.4) (Resource) (Resource) Big Ideas Algebra II, sec. 10.3, p. 553-560 , (See Binder) Sampling Project or review for Cumulative Final Sampling Project or review for Cumulative Final Sampling Project or review for Cumulative Final PH (green)Algebra I, p. 218 Technology Lab (Standard #) (Standard #) (Standard #) (Standard #) (Resource) (Resource) (Resource)