honors geometry - Methacton School District Download

Transcript
HONORS GEOMETRY
SCOPE AND SEQUENCE
Updated: August, 2010
Text:
Glencoe Mathematics GEOMETRY
Authors:
Boyd, Cummins, Malloy, Carter, Flores
Publisher:
Glencoe/McGraw-Hill
Copyright:
2005
One day is to be spent on EVERY section of the text unless specified on the scope.
*Algebra Review is given within the first week of school
TOPIC
CHAPTER 1: POINTS, LINES, PLANES AND ANGLES
1.1 Points, Lines, Planes
1.2 Linear Measure
1.3 Distance and Midpoint (1.5)
Excel Activity (page 26) (.5)
1.4 Angle Measure
1.5 Angle Relationships
1.6 Polygons
Quiz/Constructions (1 day)
Chapter Review
Test
Standardized Test Practice (HW day of test)
CHAPTER 2: REASONING AND PROOF
2.1 Inductive Reasoning and Conjecture
2.2 Logic
2.3 Conditional Statements (including biconditionals)
2.4 Deductive Reasoning
2.5 Postulates and Paragraph Proof
2.6 Algebraic Proof
2.7 Proving Segment Relationships
2.8 Proving Angle Relationships
Extra Proof Days (2 days)
Quiz
Chapter Review
Test
Standardized Test Practice (HW day of test)
CHAPTER 3: PARALLEL AND PERPENDICULAR LINES
3.1 Parallel Lines and Transversals
3.2 Angles and Parallel Lines
3.3 Slopes of Parallel Lines
3.4 Equations of Lines (2 days)
Scatter Plots (2 days)
3.5 Proving Lines Parallel (2 days)
3.6 Perpendiculars and Distance
Quiz
Chapter Review
Test
Standardized Test Practice (HW day of test)
TIME IN DAYS
11
13
13
CHAPTER 4: CONGRUENT TRIANGLES
4.1 Classifying Triangles
4.2 Angles of Triangles
4.3 Congruent Triangles
4.4 Proving Congruence
4.5 Proving Congruence
Additional Proof Day (1 day)
4.6 Isosceles Triangles
4.7 Triangles and Coordinate Proof
Geometry Activity – pages 214 – 215
Quiz
Chapter Review
Test
Standardized Test Practice (HW day of test)
CHAPTER 5: RELATIONSHIPS IN TRIANGLES
5.1 Bisectors, Medians, Altitudes (2 days)
5.2 Inequalities and Triangles
5.3 Indirect Proof
5.4 The Triangle Inequality
5.5 Inequalities Involving Two Triangles
Chapter Review
Test
Standardized Test Practice (HW day of test)
12
8
CHAPTER 6: PROPORTIONS AND SIMILARITY
6.1 Proportions
6.2 Similar Polygons
6.3 Similar Triangles
6.4 Parallel Lines and Proportional Parts
10
6.5 Parts of Similar Triangles
6.6 Fractals and Self-Similarity (Groupwork not included on test)
Spreadsheet Investigation page 288
Quiz
Chapter Review
Test
Standardized Test Practice (HW day of test)
Review of Radicals
CHAPTER 7: RIGHT TRIANGLES AND TRIGONOMETRY
7.1 Geometric Mean (2 days)
7.2 Pythagorean Theorem
7.3 Special Right Triangles
7.4 Trigonometry
7.5 Angles of Elevation and Depression
Trig practice 7-4 & 7-5
7.6 Law of Sines (2 days)
7.7 Law of Cosines (2 days)
Trig Applications (1 day)
Lab (1 day)
Geometry Activity – page 391
1
19
2 Quizzes (one after 7-3, the other 7-3 to 7-5)
Chapter Review
Test (2 days – 1 day just “mechanics”, 1 day word problem applications)
Standardized Test Practice (HW day of test)
Midterm Review Project
Midterm covers Chapters 1 through Chapter 7, Section 5
CHAPTER 8: QUADRILATERALS AND CIRCLES
8.1 Angles of Polygons
8.2 Parallelograms
8.3 Tests for Parallelograms
8.4 Rectangles
8.5 Rhombi and Squares
Quadrilateral Proof Day (1 day)
8.6 Trapezoids
8.7 Coordinate Proof with Quadrilaterals
Chapter Review
Test
Standardized Test Practice (HW day of test)
Matrix Lesson
CHAPTER 9: TRANSFORMATIONS
9.1 Reflections
9.2 Translations
9.3 Rotations (2 days)
9.4 Tessellations
Geometry Activity page 489
9.5 Dilations
9.6 Vectors
9.7 Transformations with Matrices
Quiz
Chapter Review
Test
Standardized Test Practice (HW day of test)
CHAPTER 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, Angle Measure
10.7 Special Segments in Circles
10.8 Equations of Circles
Completing the Square (1 day)
Geometry Activity pages 559 – 560
Quiz
Chapter Review
Test
Standardized Test Practice (HW day of test)
5
10
1
12
13
CHAPTER 11: AREA AND VOLUME
11.1 Areas of Parallelograms
11.2 Areas of Triangles, Trapezoids, Rhombi
11.3 Areas of Regular Polygons and Circles (2 days)
Applications of Area (1 day)
11.4 Areas of Irregular Figures (2 days)
11.5 Geometric Probability
Chapter Review
Test
Standardized Test Practice (HW day of test)
CHAPTERS 12 & 13: SURFACE AREA & VOLUME
12.1 Three Dimensional Figures
12.2 Nets and Surface Area
12.3 Surface Area of Prisms
12.4 Surface Area of Cylinders
13.1 Volumes of Prisms and Cylinders
12.5 Surface Area of Pyramids
12.6 Surface Area of Cones
13.2 Volumes of Pyramids and Cones
12.7 Surface Area of Spheres
13.3 Volumes of Spheres
13.4 Congruent and Similar Solids
13.5 Coordinates in Space
Applications of Surface Area and Volume (1 day)
Quiz
Chapter Review
Test
Standardized Test Practice (HW day of test)
10
16
Final Covers Chapters 7 – 13 (3 review days)
In addition to the above total days, the following may occur:
**Algebra Review Quizzes each quarter (4 days)
**Project Days (approximately 6)
**Cumulative Test in the first and third quarters! (2 days)
Amount of time spent on a topic may vary due to differences in classes and/or schedule interruptions.
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