Bellwood-Antis School District Curriculum Revised on 10/7/2011

Transcription

1 Bellwood-Antis School District Curriculum Revised on 10/7/2011 Course: Geometry Grade Level(s): 9-12 Month Duration PA Standards/Anchors Content Assessment Instructional Unit I: Lines and Angles Aug- I : 1 Sept- Oct 20 days 1:Points, Lines, Planes, and Angles M11.C Calculate the distance and/or midpoint between 2 points on a number line or on a coordinate plane (formula provided on the M11.C Find the measure of a side of a right triangle using the Pythagorean Theorem (Pythagorean Theorem included on the 1-1 Points, Lines, and Planes 1-2 Linear Measure and Precision *7-2 Pythagorean Theorem 1-3 Distance and Midpoints 1-4 Angle Measure 1-5 Angle Relationships 1-6 Polygons Board Work Questioning Quiz Quiz Chapter Predicting Think-a-louds M11.B Measure and/or compare angles in degrees (up to 360 ) (protractor must be provided or drawn). I : 2 10 days 2: Reasoning and Proof 2-1 Inductive Reasoning and Conjecture 2-2 Logic 2-3 Conditional Statements 2-4 Deductive Reasoning (Honors) 2-5 Postulates and Paragraph 2-6 Algebraic Proof 2-7 Proving Segment Relationships 2-8 Proving Angle Relationships Packets Predicting Think-a-louds

2 3:Parallel and Perpendicular Lines Oct- I : 3 Nov- 16 days Dec M11.C Relate slope to perpendicularity and/or parallelism (limit to linear algebraic expressions; slope formula provided on the M11.D Apply the formula for the slope of a line to solve problems (formula given on 3-1 Parallel Lines and Transversals 3-2 Angles and Parallel Lines 3-3 Slopes of Lines 3-4 Equations of Lines 3-5 Proving Lines Parallel 3-6 Perpendiculars and Distance (overview) Written- Conversations Written- Conversations M11.D Compute the slope and/or y-intercept represented by a linear equation or graph. M11.D Given the graph of the line, 2 points on the line or the slope and a point on a line, write or identify the linear equation in point-slope, standard and/or slope-intercept form. II : 4 M11.C Identify and/or use properties of congruent and similar polygons or solids. M11.C Identify and/or use properties of triangles (e.g., medians, altitudes, angle bisectors, side/angle relationships, Triangle Inequatlity Theorem). Unit II: Triangles 4: Congruent Triangles 4-1 Classifying Triangles 4-2 Angles of Triangles 4-3 Congruent Triangles *9-1, 9-2, 9-3 Reflections, Translations, Rotations 4-4 Proving Congruence - SSS, SAS 4-5 Proving Congruence - ASA, AAS 4-6 Isosceles Triangles Sketching Drawing Measuring

3 II : 5 5: Relationships in Triangles Jan- 16 days Feb 5-1 Bisectors, Medians, and Altitudes 5-2 Inequalities and Triangle 5-3 Indirect Proof (overview) 5-4 The Triangle Inequality 5-5 Inequalities Involving Two Triangles Anglegs Activity II : 6 M11.A Identify and/or use proportional relationships in problem solving settings. 6: Proportions And Similarity 6-1 Proportions 6-2 Similar Polygons *9-5 Dilations 6-3 Similar Triangles 6-4 Parallel Lines and Proportional Parts 6-5 Parts of Similar Triangles *7-1 Geometric Mean Sketching Drawing Measuring II: 7 M11.A Simplify square roots (e.g., 24 is equal to 2 6). 7:Right Triangles and Trigonometry 7-3 Special Right Triangles 7-4 Trigonometric Ratios 7-5 Angles of Elevation and Depression 7-6 The Law of Sines (overview) 7-7 The Law of Cosines (Honors) Power Point Project Power Point Project create your own problem

4 III : 8 Unit III: Quadrilaterals and Circles March 23 days -April 8: Quadrilaterals M11.C Identify and/or use properties of quadrilaterals (e.g., parallel sides, diagonals, bisectors, congruent sides/angles and supplementary angles). 8-1 Angles of Polygons 8-2 Parallelograms 8-3 s for Parallelograms *Factoring 8-4 Rectangles 8-5 Rhombi and Squares 8-6 Trapezoids Investigations Coordinate Proof Think/pair/share Graphic organizers Venn Diagrams Take 5 WS III: days M11.B Estimate area, perimeter or circumference of an irregular figure. M11.C Identify and/or use the properties of a radius, diameter and/or tangent of a circle (given numbers should be whole). M11.C Identify and/or use the properties of arcs, semicircles, inscribed angles and/or central angles. 10: Circles 10-1 Circles and Circumference 10-2 Angles and Arcs 10-3 Arcs and Chords 10-4 Inscribed Angles 10-5 Tangents 10-6 Secants, Tangents, and Angle Measures 10-7 Special Segments in a Circle 10-8 Equations of Circles Investigations Think/pair/share

5 Unit IV: Area and Volume May- IV: June 11,12,13 M11.B Estimate area, perimeter or circumference of an irregular figure M11.B Find the measurement of a missing length given the perimeter, circumference, area or volume 11: Area 12: Surface Area 13: Volume 11-1 to 11-4 Area of triangles, quadrilaterals, circles, and irregular figures 11-5 Geometric Probability Authentic Assessment Project KWL Word Wall Study Island M11.E Find probabilities for independent, dependent or compound events and represent as a fraction, decimal or percent). M11.B Calculate the surface area of prisms, cylinders, cones, pyramids and/or spheres. Formulas are provided on the reference sheet to 12-7 Surface Area of prisms, pyramids, cylinders, cones, and spheres 13-1 to 13-3 Volume of prisms, pyramids, cylinders, cones, and spheres. Change in dimensions M11.B Calculate the volume of prisms, cylinders, cones, pyramids and/or spheres. Formulas are provided on the reference sheet. M11.B Describe how a change in the linear dimension of a figure affects its perimeter, circumference, area or volume.