Document Sample

Geometry Unit 2 – Coordinate Geometry Unit Length______8 days________ Unit Dates ___Aug. 29 – Sep. 9_______ Quality Core Standards Common Core Standards G.CO.1. Know precise definitions of angle, circle, perpendicular line, B.1.d. Use the language of mathematics to communicate increasingly parallel line, and line segment, based on the undefined notions of point, complex contexts (e.g. expressions, formulas, tables, charts, graphs, line, distance along a line, and distance around a circular arc. relations, functions) and understand relationships. G-CO.3. Given a rectangle, parallelogram, trapezoid, or regular polygon, describe the rotations and reflections that carry it onto itself. B.1.f. Make mathematical connections among concepts, across disciplines, G-CO.4. Develop definitions of rotations, reflections, and translations in and everyday experiences. terms of angles, circles, perpendicular lines, parallel lines, and line segments. C.1.a Use definitions, basic postulates, and theorems about points, lines, G-SRT.1. Verify experimentally the properties of dilations given by a center angles, and planes to write proofs and to solve problems. and a scale factor: A dilation takes a line not passing through the center of the dilation to a C.1.b Use inductive reasoning to make conjectures and deductive parallel line, and leaves a line passing through the center unchanged. reasoning to arrive at valid conclusions. The dilation of a line segment is longer or shorter in the ratio given by the scale factor. D.1.a Identify and model plane figures, including collinear and non-collinear G-SRT.7. Explain and use the relationship between the sine and cosine of points, lines, segments, rays, and angles using appropriate mathematical complementary angles. symbols. G-GPE.2. Derive the equation of a parabola given a focus and directrix. G-CO.6. Use geometric descriptions of rigid motions to transform figures D.1.b Identify vertical, adjacent, complementary, and supplementary angle and to predict the effect of a given rigid motion on a given figure; given two pairs and use them to solve problems (e.g. solve equations, use in proofs). figures, use the definition of congruence in terms of rigid motions to decide if they are congruent. G-CO.7. Use the definition of congruence in 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. G-GMD.4. Identify the shapes of two-dimensional cross-sections of three- dimensional objects, and identify three-dimensional objects generated by rotations of two-dimensional objects. G-CO.8. Explain how the criteria for triangle congruence (ASA, SAS, and SSS) follow from the definition of congruence in terms of rigid motions. G-CO.9. Prove theorems about lines and angles. Theorems include: vertical angles are congruent; when a transversal crosses parallel lines, alternate interior angles are congruent and corresponding angles are congruent; points on a perpendicular bisector of a line segment are exactly those equidistant from the segment’s endpoints. G-CO.10. Prove theorems about triangles. Theorems include: measures of FCPS 2011-12 Geometry Unit 2 – Coordinate Geometry Quality Core Standards Common Core Standards interior angles of a triangle sum to 180°; base angles of isosceles triangles are congruent; the segment joining midpoints of two sides of a triangle is parallel to the third side and half the length; the medians of a triangle meet at a point. G-CO.11. Prove theorems about parallelograms. Theorems include: opposite sides are congruent, opposite angles are congruent, the diagonals of a parallelogram bisect each other, and conversely, rectangles are parallelograms with congruent diagonals. G-SRT.4. Prove theorems about triangles. Theorems include: a line parallel to one side of a triangle divides the other two proportionally, and conversely; the Pythagorean Theorem proved using triangle similarity. G-SRT.10. (+) Prove the Laws of Sines and Cosines and use them to solve problems. G-C.1. Prove that all circles are similar. G-C.5. 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. G-MG.3. Apply geometric methods to solve design problems (e.g., designing an object or structure to satisfy physical constraints or minimize cost; working with typographic grid systems based on ratios). Summative Assessment Formative Assessment Critical Vocabulary Prior Vocabulary KCCT-like On-going assessments Midpoint Formula Slope Constructed Response Questions AND Entrance/exit slips Distance Formula Multiple Choice Questions/Multiple Choice Journals Parallel lines Question Sets quizzes Perpendicular lines ACT-like Isosceles triangle Equilateral triangle Scalene triangle Rectangle Parallelogram Rhombus Square Trapezoid Isosceles trapezoid FCPS 2011-12 Geometry Unit 2 – Coordinate Geometry Glencoe Textbook Correlation Chapter 1.7 Chapter 3.8 Chapter 6.7 -6.8 Unit 2 Coordinate Geometry Less Learning Target/I Teacher Facilitated Student Engagement Formative/Summative Materials/Resou on # Can Statement: Learning Strategies: Strategies (including Assessment: rces Needed: Reading, Writing, Oral Communication, Thinking and/or Technology): 1 I can use the distance Use graph on marker boards to Distance and midpoint formulas, Practice 1.7 Markers, marker boards 8/29 formula and the midpoint practice with distance and midpoint practicing on marker boards, straight graph paper copies formula to find distances, formulas (We are pondering forward problems, finding distances workbooks midpoints and missing battleship) and midpoints information. 8/30 I can use the distance Demonstration of using the same Distance and midpoint formulas, Pages 54-55/select problems Copies of pages 54-55 formula and the midpoint formula to find different missing finding the missing endpoint given the formula to find distances, information, missing endpoints or midpoint and finding a missing midpoints and missing coordinates coordinate given the distance. information. 2 I can use the slope formula to Review types of slope, review Pair and share with problems Pair and share worksheet with Worksheet- Pair and 8/31 determine whether sets of algebra one process of finding stating two pairs of coordinates. coordinates of lines Share points determine lines that slope, and comparing two slopes to Each student finds one slope and are parallel or perpendicular determine the relationships of your then compares with other student to (or neither). lines. complete, stating the relationship between the two lines as parallel, perpendicular or neither. ( using marker boards if desired) FCPS 2011-12 Geometry Unit 2 – Coordinate Geometry 3 I can write linear equations Review Algebra I process of using Understand that as long as the point is on the Algebra 2 Practice 2.4/21-24,28.a 9/1 that are parallel or line, it can be used in the point slope form! Worksheets point slope formula to write the perpendicular to a given line All of your equations can be different equation of a line. BTW- don’t looking and still represent the same line! through a given point. simplify! 4 I can use the distance, Review properties of specific types of Fill in graphic organizers with specific Practice 6.7 Workbooks 9/2 midpoint and slope formulas triangles and Quadrilaterals. Have clues as to how you would proceed in Graphic organizers to determine relationships on students fill in shapes in graphic justifying that the given figure is what the coordinate plane. organizers of Isosceles, scalene, and you know it to be! equilateral as well as the Quadrilaterals 5 I can use coordinate Graphs to name arbitrary points for Fill in graph paper with missing Practice 6.8 Workbooks 9/6 geometry to locate algebraic geometric shapes such as right coordinates, keep in notes (Mason) Graph Paper points for figures based on triangles, squares, rectangles etc. Direct their geometric properties. instruction on using properties of the shapes to find points 9/7 See all above Jeopardy ! Categories: Parallel or Play jeopardy on teams chosen by Unit 2 Review sheets Review sheets Perpendicular, Midpoint Formula, teacher, review sheets for homework Distance Formula, Triangles, Quadrilaterals, Missing coordinates 9/8 See all above Go over review sheets, have students Put review problems on board, make Unit 2 review sheets, Review Sheets work problems on board , answer final sure they are correct so you can questions before tomorrow’s test. STUDY! 9/9 See all above Test Unit 2 Test Unit 2 Test Unit 2 Tests, Scantrons Answer sheets FOR WHOLE UNIT: Modifications/Adaptation (as noted in IEP, 504 Plans, ILP’s and/or ESL Plans): Differentiation: (content, process and/or product according to readiness and/or interest, GSSP) Re-teaching Processes and/or Strategies: FCPS 2011-12 Geometry Unit 2 – Coordinate Geometry Pre-assessment and Summative Assessment Attached: FCPS 2011-12 Geometry Unit 2 – Coordinate Geometry

DOCUMENT INFO

Shared By:

Categories:

Tags:

Stats:

views: | 144 |

posted: | 11/30/2011 |

language: | English |

pages: | 5 |

OTHER DOCS BY stariya

How are you planning on using Docstoc?
BUSINESS
PERSONAL

By registering with docstoc.com you agree to our
privacy policy and
terms of service, and to receive content and offer notifications.

Docstoc is the premier online destination to start and grow small businesses. It hosts the best quality and widest selection of professional documents (over 20 million) and resources including expert videos, articles and productivity tools to make every small business better.

Search or Browse for any specific document or resource you need for your business. Or explore our curated resources for Starting a Business, Growing a Business or for Professional Development.

Feel free to Contact Us with any questions you might have.