Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
History of geometry wikipedia , lookup
Analytic geometry wikipedia , lookup
Riemannian connection on a surface wikipedia , lookup
Rational trigonometry wikipedia , lookup
Multilateration wikipedia , lookup
Pythagorean theorem wikipedia , lookup
Euler angles wikipedia , lookup
Integer triangle wikipedia , lookup
Trigonometric functions wikipedia , lookup
Line (geometry) wikipedia , lookup
Revised Geometry Pacing Calendar 2013-2014, Trimesters 2 and 3 DATES February 4-7 (4 days) UNITS/TOPICS UNIT 5:TRANSFORMATIONAL GEOMETRY (cont’n) Mastery Quiz: Feb. 7 ISOMETRIES: Line Reflections, Translations, Glide Reflections, Rotations. DILATIONS COMPOSITION OF ISOMETRIES AND DILATIONS February 10-14 24-28 (10 days) Computer Lab: 2days [once/week] Midwinter Recess: [Feb.17-21] Mastery quiz: Feb. 25 Review for Unit test: [Feb. 26] CUMULATIVE UNITS 5 and 6 TEST: Feb. 27. Feedback: Feb. 28. UNIT 6: SIMILAR TRIANGLES SIMILARITY OF TRIANGLES,AA SIMILAR TRIANGLESCorresponding sides are in proportion PROPORTIONAL SIDES OF A TRIANGLE-overlapping similar triangles SIMILAR RIGHT TRIANGLES AIMS/LESSONS • • • • • • • • How do we find the image of a figure under a translation or a dilation? How do we find the image of a figure under a rotation? How do we find the image of a figure under a composition of transformations? When are two triangles similar? How are similar triangles different than congruent triangles? How do we find missing sides of similar triangles? How do we find missing sides of overlapping similar triangles? How do we use the right triangle altitude rule? How do we use the right triangle leg rule? March 3-7 10-14 17-21 24 days 24-28 April 1- 4 Computer Lab: 4days[once/week] Mastery Quiz: March 14 End of Marking Pd 2 Trimester 2 [March 14] Parent Teacher conference [March 2728] Unit Review: April 2 Unit Test : April 3 Feedback: April 4 April 7-11 23-25 28-30 UNIT 7: PROPERTIES OF POLYGONS AND COORDINATE GEOMETRY SUM OF INTERIOR AND EXTERIOR ANGLES OF POLYGONS-including regular polygons EACH INTERIOR AND INTERIOR ANGLES OF POLYGONS MIDPOINTS AND CENTROIDS OF TRIANGLES PARALLELOGRAMS SPECIAL PARALLELOGRAMS SLOPES OF PARALLEL AND PERPENDICULAR LINES FINDING EQUATIONS OF A LINE PARALLEL OR PERPENDICULAR TO A GIVEN EQUATION OF A LINE OR A GIVEN POINT ON THE LINE. SOLVING QUADRATIC LINEAR-SYSTEM OF EQUATIONS PROVING PROPERTIES OF QUADRILATERALS IN THE COORDINATE PLANE EQUATIONS OF CIRCLES GRAPHING/SKETCHING LOCI UNIT 8: SOLID FIGURES 11 days TYPES OF PRISMS AND THEIR PROPERTIES • • • • • • • • • • • • • • • • • What strategies can we use to determine the sum of the interior angles of any polygon? What is the sum of the exterior angles of any polygon? What is the relationship between the midsegments and the sides of a triangle? (Extension to trapezoids) What are the properties of a parallelogram? How can we compare the properties of special parallelograms: rhombi, rectangles, and squares? What are the properties of isosceles trapezoids? How do we write a linear equation in slope-intercept form? What is the relationship between equations of parallel lines? What is the relationship between equations of perpendicular lines? How do we write the equation of a line that is parallel or perpendicular to a given line and that passes through a given point? How do we solve a quadratic-linear system of equations? How do we prove properties of figures in the coordinate plane? How do we write the equation of a circle? How do we find the center of a circle or the endpoints of the diameter? What are the 5 types of loci? How do we sketch a locus? What are the features of different types of prisms? How do we find the volume of different types of prisms? Review what B represents in the regents Computer Lab : 2days ( 1/week) Mastery Quiz: April 11 VOLUMES OF PRISMS SURFACE AREA OF PRISMS AND CYLINDERS VOLUMES OF CYLINDERS, CONE AND SPHERES LINES AND PLANES Spring Recess: [Apr14-22] • • • • • April 28: Review formula sheet. How do we find the volume of a cylinder? How do we find the volume of a cone? How do we find the volume of a sphere? How is surface area different than volume? How do we find the surface area of a prism and a cylinder? How do we determine if the lines are parallel/perpendicular to planes or if a line is coplanar with another line? April 29: Unit Test April 30: Feedback May 1- 2 5- 9 12-16 19-23 17 days End of Marking Pd 1/Trimester 3 [May 1] Computer Lab: 3 days [1/week] Mastery Quiz : Angles formed in a circle [ May 15] MAY 20 : END OF UNIT Unit Review: May 21 Unit Test: May 22 UNIT 9: MEASUREMENT IN CIRCLES CENTRAL AND INSCRIBED ANGLES ANGLES FORMED BY TWO CHORDS ANGLES FORMED BY TWO TANGENTS, TWO SECANTS, A TANGENT AND A SECANT ANGLES IN COMBINATIONS PARALLEL AND CONGRUENT CHORDS LENGTHS OF TANGENTS AND SECANTS, TWO CHORDS AND TWO SECANTS PARALLEL AND PERPENDICULAR LINES IN CIRCLES COMMON EXTERNAL AND INTERNAL TANGENTS • • • • • • • • • • What are the parts of a circle? What terms involving lines/segments are associated with circles? What is a central angle? What is the relationship between the measure of a central angle and its intercepted arc? What is an inscribed angle? What is the relationship between the measure of an inscribed angle and its intercepted arc? What is relationship between inscribed angles that intercept the same arc? What is relationship between arcs that are between two parallel chords? What is relationship between the arcs of two congruent chords? What are the properties of tangents? How do we measure an angle formed by a tangent and a chord? What is the relationship between angles formed by intersecting chords? What is the relationship between angles formed by two intersecting secants or an intersecting secant and tangent? What is the relationship between segments of intersecting chords? Feedback : • May 23 • • May 26-30 } 4 days REVIEW FOR COMPREHENSIVE FINAL EXAMS May 26: Memorial dayno school May 26-27 Review for finals Comprehensive Final Exam [May 28-29] May 30 : MAKE-UP DAY/FEEDBACK June 2-16 } 14 days June 5: PD day – No Students REGENTS PREP What is the relationship between segments of intersecting secants? What is the relationship between segments of an intersecting tangent and secant? What happens to a chord when a radius is perpendicular to it?