Download Geometry Common Core Syllabus 2015-2016

Elizabethtown Lewis Central School
Geometry Common Core Syllabus 2015-16
Instructors: James E. Sheffer & Mindy Schaefer
Re-align on June 25, 2015
Course Description
While New York State Common Core Algebra I was to deepen and
extend the understanding of linear and exponential relationships, the
emphasis in Geometry Common Core is congruence, proof, constructions,
similarity, and trigonometry. Students will learn to apply the laws of logic
to traditional deductive proofs, both direct and indirect. Topics include
triangles, transformations, trigonometric ratios, law of sines and cosines,
trigonometry to determine area, inequalities, coordinate geometry proofs,
ratio, circles, quadrilaterals, three dimensional shapes, and locus.
Course Content and Schedule
This is a tentative outline. Students will be informed of the necessary
variations.
9/8
9/9
9/10
9/11
Introduction; Rules; Basic Geometry Review
Pre-Test of Geometry Common Core Regents
Properties of Real Number Systems; Definitions, Lines,
Segments, Copy and Bisect an Angle
Midpoint, Bisectors, Angles, Construct a Perpendicular
Bisector
9/14
9/15
9/16
9/17
9/18
Classify Triangles; Construct an Equilateral Triangle; Review
Assessment: Essentials of Geometry
Pythagorean Theorem
Tangent Ratio
Applications of the Tangent Ratio
9/21
9/22
9/23
9/24
9/25
Sine and Cosine Ratios
Applications of the Sine and Cosine Ratios
Solving Problems using Trigonometric Ratios (AM Schedule)
Review of Trigonometry of the Right Triangle
Assessment: Trigonometry of the Right Triangle
9/28
9/29
9/30
10/1
10/2
10/5
Deductive Reasoning: Using Logic to Form a Geometry Proof
Properties of Equality; Substitution; Addition and Subtraction
Postulates
Multiplication, Division, Powers, and Roots Postulates
Solving for Unknown Angles (Angles and Lines at a Point)
Solving for Unknown Angles (Transversals)
10/6
10/7
10/8
10/9
Solving for Unknown Angles (Triangles); Review of Proving
Statements in Geometry
Assessment: Proving Statements in Geometry & Angles
Postulates of Lines, Line Segments, and Angles
Using Postulates and Definitions in Proofs
Proving Theorems about Angles
10/12
10/13
10/14
10/15
10/16
Columbus Day
Congruent Polygons and Corresponding Parts
Proving Triangles Congruent by SAS
Proving Triangles Congruent by ASA
Proving Triangles Congruent by SSS, SAA, and HL
10/19
10/21
10/22
10/23
Review of Congruence of Line Segments, Angles, and
Triangles
Assessment: Congruence of Line Segments, Angles, and
Triangles
Line Segments Associated with Triangles; CPCTC
Isosceles and Equilateral Triangles
More CPCTC
10/26
10/27
10/28
10/29
10/30
Proving Overlapping Triangles Congruent
Basic Constructions; Points of Concurrencies
Review of Congruence Based on Triangles
Assessment: Congruence Based on Triangles
Cumulative Review
11/2
11/3
11/4
Cumulative Review
Ten Week Exam (1st Interim)
Graphing Polygons; Finding Area; Using Trig to Determine
Area
Using Trigonometry to Find Side Lengths of an Acute Triangle
10/20
11/5
11/6
Applying the Laws of Sines and Cosines
11/9
11/10
11/11
11/12
11/13
Review of Trigonometry in Geometry
Assessment: Trigonometry in Geometry
Veteran’s Day
Line Reflections (x-axis, y-axis, origin, y=x); (PM Schedule)
Parent Conferences from 1:00 to 7:00
Translations and Rotations
11/16
11/17
11/18
11/19
11/20
Glide Reflections and Dilations
Transformations as Functions
Review of Transformations and the Coordinate Plane
Assessment: Transformations and the Coordinate Plane
Basic Inequality Postulates (Add, Sub, Mult, Div)
11/23
11/24
Inequality Involving the Lengths of a Triangle
Inequality Involving Exterior Angles of a Triangle;
(AM Schedule)
November 25th through November 29th: Thanksgiving Recess
11/30
12/1
12/2
12/3
12/4
Review of Geometric Inequalities
Assessment: Geometric Inequalities
Slope of a Line
Equation of a Line (PM Schedule)
Review; Midpoint of a Line Segment
12/7
12/8
12/9
12/10
12/11
Slopes of Perpendicular Lines
Coordinate Proof Using Slope
Review of Slopes and Equations of Lines
Review of Slopes and Equations of Lines
Assessment: Slopes and Equations of Lines
12/14
12/15
12/16
12/17
12/18
Parallel Lines
Parallel Lines in the Coordinate Plane
Sum of the Measures of the Angles of a Triangle
Interior and Exterior Angles of Polygons
Review of Parallel Lines and More
12/21
Review of Parallel Lines and More
12/22
12/23
Assessment: Parallel Lines and Polygons
Extra Day (Winter Solstice)
December 24th through January 3rd: Winter Recess
2016
1/4
1/5
1/6
1/7
1/8
Cumulative Review
Simplifying Radicals
Multiplying and Dividing Expressions with Radicals
Rationalizing a Denominator
Adding and Subtracting with Expressions with Radicals
1/11
1/12
1/13
1/14
1/15
Mean Proportion; Review of Operations with Radicals
Assessment: Operations with Radicals
Cumulative Review
Cumulative Review
Mid-Term Assessment (2nd Interim)
1/18
1/19
1/20
1/21
1/22
Martin Luther King, Jr. Day
Parallelogram: Proving and Word Problems
Rectangle: Proving and Word Problems
Rhombus: Proving and Word Problems
Square: Proving and Word Problems
Regents Week
1/25
Trapezoid and Isosceles Trapezoid
1/27
Review of Coordinate Geometry Proofs
1/28
Assessment: Coordinate Geometry Proofs
1/29
Review
1/30
Superintendent’s Day (Regional Scoring)
2/1
2/2
2/3
2/4
2/5
Area of Polygons
Points, Lines, Planes, Perpendicular, and Parallel
Surface Area of a Prism
Volume of a Prism
Surface Area and Volume of a Pyramid
2/8
2/9
2/10
Surface Area and Volume of a Cylinder
Surface Area and Volume of a Cone
Surface Area and Volume of a Sphere
2/11
2/12
Review of Three Dimensional Geometry
Assessment: Three Dimensional Geometry
February 13th to February 21st: Mid-Winter Recess
2/22
2/23
2/24
2/25
2/26
Ratio and Proportion
Proportions Involving Line Segments
Similar Polygons
Proving Triangles Similar
Dilations Relating to Similarity
2/29
3/1
3/2
3/3
3/4
Proportional Relations among Segments Related to Triangles
Proportions in the Right Triangle
Review of Ratio, Proportion, and Similarity
Review of Ratio, Proportion, and Similarity
Assessment: Ratio, Proportion, and Similarity
3/7
3/8
3/9
3/10
3/11
Pythagorean Theorem
Special Triangles (30º-60º-90º and 45º-45º-90º)
Distance Formula
Proofs Involving the Distance Formula
Proofs Involving the Distance Formula
3/14
3/15
3/16
3/17
3/18
Review of Coordinate Geometry Proofs
Assessment: Coordinate Geometry Proofs
Circles, Central Angles
No Class: Superintendent’s Day (AM Schedule)
Extra Day
3/21
3/22
3/23
3/24
3/25
Proofs Involving Circles and Polygons
Inscribed Angles and Their Measures
Tangents and Secants
Angles Formed by Tangents, Chords, and Secants
No School: Good Friday
3/28
3/29
3/30
3/31
4/1
Measures of Tangent Segments, Chords, and Secant Segments
Review of Geometry of the Circle
Assessment: Geometry of the Circle
Cumulative Review for 30 Week Exam
Thirty Week Assessment (3rd Interim)
4/4
4/5
4/6
4/7
4/8
Circles in the Coordinate Plane
Tangents and Secants in the Coordinate Plane
Tangents and Secants in the Coordinate Plane
Review of Circles in the Coordinate Plane
Assessment: Circles in the Coordinate Plane
4/11
Review of Trig Ratios
4/12
Complex Trig Problems
13-15 NYS 3-8 Math Exams
4/13
Cumulative Review
4/14
Cumulative Review
4/15
Cumulative Review
4/18
4/19
4/20
4/21
4/22
Complex Trig Problems
Trig Word Problems
Using Trig in Solving 3-Dimensional Volume and Surface
Review of Complex Trig Problems
Assessment: Complex Trig Problems
April 23rd to May 1st: Spring Recess
5/2
5/3
5/4
5/5
5/6
Writing Equations of a Line given the Slope and a Point
Parallel Lines: Writing Equations
Perpendicular Lines: Writing Equations
Review
Assessment: Writing Equations of a Line
5/9
5/10
5/11
5/12
5-13
Review of 3-Dimensional Geometry
Complex 3-Dimensional Geometry
Complex 3-Dimensional Geometry
Complex 3-Dimensional Geometry
Assessment: Complex 3-Dimensional Geometry
5/16 through 6/13 Regents Review
Students will have at least one cumulative assessment each week to prepare
for the Geometry Common Core Regents in June.
Extra Help
If you are having difficulty, see me immediately or try working with
other students in the class. I am available before or after school, my prep
period, or my lunch study hall.