COURSE OF STUDY

FOR GEOMETRY H

5 CREDITS GRADE LEVEL: 9 – 10 FULL-YEAR COURSE

PREPARED BY: CORINNE BRONDER SUSAN EISEN GINA SULLIVAN SHANNON WARNOCK, SUPERVISOR OF MATHEMATICS AND SCIENCE

JULY 2017

DUMONT HIGH SCHOOL DUMONT, NEW JERSEY

ALIGNED TO THE NJSLS AND B.O.E. ADOPTED AUGUST 24, 2017

Geometry H – Grades 9-10 – Full Year – 5 Credits (Weighted Course, Prerequisite: Meets admissions criteria) Geometry H is designed to challenge high achieving students, who are recommended based on their performance in Algebra 1. Topics covered include congruence, similarity, right triangles, trigonometry, circles, expressing geometric properties with equations, measurement, dimensions, and modeling. The deductive method of analysis and logical reasoning are used to solve problems, formulate proofs, and draw conclusions. This course is geared for students planning to pursue advanced studies in mathematics and science. COURSE REQUIREMENTS AND EXPECTATIONS A student will receive 5 credits for successfully completing course work. A grade of "D" or higher must be achieved in order to pass the course. The following criteria are used to determine the grade for the course:

A Tests - 50% of the grade Tests will be given periodically. These may include alternative assessments that will count as tests.

B Quizzes - 35% of the grade

Quizzes (announced and unannounced) based on class lessons or homework assignments will be given frequently to assess understanding of individual concepts. These may include alternative assessments that will count as quizzes.

C Homework - 10% of the grade

Homework will be evaluated for completeness, neatness, and/or accuracy.

D Class Participation/Class Work - 5% of the grade Class Participation/Class Work will be evaluated a minimum of twice per marking period according to the departmental rubric (see page 3). The grade is based on the student's participation/work during class. Thus, consistent attendance is imperative.

E Final Examination

Final examinations will count as follows: Full-Year Courses Weighting Semester Courses Weighting Quarter 1 22.5% of final grade Quarter 1 45% of final grade Quarter 2 22.5% of final grade Quarter 2 45% of final grade Quarter 3 22.5% of final grade Final Exam 10% of final grade Quarter 4 22.5% of final grade Final 10% of final grade

Any work missed when the student has been absent is expected to be made up in a reasonable time. Usually one or two days are allowed for each day absent unless there are unusual circumstances, in which case the student is to request special arrangements with the teacher. Extra help is available. Ask your teacher where he/she will be when you are planning to come in for extra help.

High School Mathematics Participation Rubric

1(60) Inadequate

2(70) Limited

3(80) Partial

4(90) Adequate

5(100) Superior

Attendance

-Almost never with attendance policies and/or punctuality -Almost never makes up work in timely fashion

-Rarely abides by attendance policies and/or punctuality -Rarely makes up work in timely fashion

-Sometimes struggles with attendance policies and/or punctuality -Sometimes makes up work in timely fashion

-Almost always punctual -Almost always makes up work in timely fashion -Not disruptive when tardy

-Always punctual -Always makes up work in a timely fashion

Preparedness

-Almost never has pencil, books, calculators, and/or notebooks -Almost never has assignments on time

-Rarely has pencil, books, calculators, and/or notebooks -Rarely has assignments on time

-Sometimes has pencil, books, calculators, and/or notebooks -Sometimes has assignments on time

-Almost always has pencil, books, calculators, and/or notebooks -Almost always has assignments on time

-Always has pencil, books, calculators, and/or notebooks -Always has assignments on time

Oral

Participation

-Almost never asks & answers questions without prompting

-Rarely asks & answers questions without prompting

-Sometimes asks & answers questions without prompting

-Almost always asks & answers questions without prompting

-Always asks & answers questions without prompting (daily)

Written

Participation

-Almost never takes notes -Almost never makes corrections on homework/ class work and/or applies teacher recommendations to writing

-Rarely takes notes -Rarely makes corrections on homework/ class work and/or applies teacher recommendations to writing

-Sometimes takes notes -Sometimes makes corrections on homework/ class work and/or applies teacher recommendations to writing

-Almost always takes notes -Almost always makes corrections on homework/ class work and applies teacher recommendations to writing

-Always takes notes -Always makes corrections on homework/ classwork and applies teacher recommendations to writing

Cooperative

Learning

-Almost never provides meaningful input -Almost never focused on the assignment -Almost never assumes a leadership role

-Rarely provides meaningful input -Rarely focused on the assignment -Rarely assumes a leadership role

-Sometimes provides meaningful input -Sometimes focused on the assignment -Sometimes assumes a leadership role

-Almost always provides meaningful input -Almost always focused on the assignment -Almost always assumes a leadership role

-Always provides meaningful input -Always focused on the assignment -Usually assumes a leadership role

General Behavior

-Almost never shows respect for peers and teacher -Almost never remains focused on assignments -Almost never abides by all class & school rules -ALMOST NEVER HAS CELL PHONE/IPOD

-Rarely shows respect for peers and teacher -Rarely remains focused on assignments -Rarely abides by all class & school rules -ALMOST NEVER HAS CELL PHONE/IPOD

-Sometimes shows respect for peers and teacher -Sometimes remains focused on assignments -Sometimes abides by all class & school rules -NEVER HAS CELL PHONE/IPOD

-Almost always shows respect for peers and teacher -Almost always remains focused on assignments -Almost always abides by all class & school rules -NEVER HAS CELL PHONE/IPOD

-Always shows respect for peers and teacher -Always remains focused on assignments -Always abides by all class & school rules -NEVER HAS CELL PHONE/IPOD

*Score of Zero Results from Limited or No Response to Class Participation/Class Work

UNIT # 1 UNIT TITLE: Summer Assignment/Review CHAPTERS COVERED: Parts of Chapters 1, 3, 8, 9 UNIT LENGTH: Summer

Performance Indicators (NJSLS and Objectives)  

Essential Questions

Activities (Approximate Time Frame)  

Vocabulary

Resources

N.Q.1, N.Q.2, N.Q.3 A.C.1, A.R.1, A.R.2, A.R.3, A.R.10 G.C.1, G.C.9, G.C.12, G.C.13, G.E.5, G.E.7*, G.S.1, G.S.2, G.S.3, G.S.4, G.S.5, G.S.6, G.S.7, G.S.8*, G.Ci.5 Students will be able to… 1. Find and describe

patterns; 2. Understand and use the

basic undefined terms and defined terms of geometry; 3) Sketch the intersections of lines and planes;

3. Write equations of parallel and perpendicular lines;

4. Simplify ratios; 5. Identify and solve

proportions using their properties;

6. Use Pythagorean Theorem

• What are points, lines, and planes?

• How are parallel and perpendicular lines related?

• What are ratios and proportions?

• What is the Pythagorean Theorem?

Summer a. Patterns b. Points, Lines, and Planes c. Pythagorean Theorem d. Area and Perimeter of squares, rectangles, triangles, circles e. Classifying Angles f. Simplifying Ratios g. Proportions h. Algebra Review (slope, parallel & perpendicular lines, solving equations, reciprocals) i. Triangle Sum Theorem j. Identifying Transformations

• Conjecture • Inductive Reasoning • Counterexample • Definition/Undefined • Point/Line/Plane • Collinear • Coplanar • Line Segment • Endpoints • Ray • Initial Point • Opposite Rays • Intersect/Intersection • Parallel Lines • Perpendicular Lines • Ratio • Proportion • Pythagorean Theorem

McDougal Littell Geometry Kutasoftware.com pearsonsuccessnet.com standardsolutions.com

UNIT # 2 UNIT TITLE: Basics of Geometry CHAPTERS COVERED: Chapter 1 UNIT LENGTH: 6 class days

Performance Indicators (NJSLS and Objectives)  

Essential Questions

Activities (Approximate Time Frame)  

Vocabulary

Resources

N.Q.1, N.Q.2, N.Q.3 A.C.1, A.R.1, A.R.3 G.C.1, G.C.12 Students will be able to… 1. Find and describe

patterns 2. Understand and use the

basic undefined terms and defined terms of geometry

3. Sketch the intersections of lines and planes

4. Use segment postulates 5. Use the Distance

Formula 6. Use angle postulates 7. Classify angles as acute,

right, obtuse, or straight 8. Bisect segments and

angles 9. Identify vertical angles,

linear pairs, complementary, and supplementary pairs

10. Find the perimeter, circumference, and area of common plan figures

• What are points, lines, and planes?

• How do I determine segment and angle measures?

• How do I determine the perimeter, circumference, and area of shapes?

6 days

a. Conjectures b. Counterexamples c. Segment and Angle Measures d. Segment and Angle Bisectors e. Angle Pair Relationships

• Conjecture • Inductive Reasoning • Counterexample • Definition/Undefined • Point/Line/Plane • Collinear • Coplanar • Line Segment • Endpoints • Ray • Initial Point • Opposite Rays • Intersect/Intersection • Postulates/Axioms • Theorem • Distance/Length • Congruent Segments • Angle • Vertex of an Angle • Congruent Angles • Measure of an Angle • Interior/Exterior of an

Angle • Acute/Obtuse Angle • Right/Straight Angle • Adjacent Angles • Midpoint • Bisect • Segment Bisector • Compass/Straightedge • Construct/Construction • Angle Bisector • Vertical Angles • Linear Pair

McDougal Littell Geometry Warm-Up/Daily Homework Quiz Worksheets Practice A-C Worksheets Kutasoftware.com pearsonsuccessnet.com standardsolutions.com Examples: 1) 2) Ray BT bisects angle ABC. Find x. 3) Find the perimeter and areas.

• Complementary Angles • Supplementary Angles

UNIT #3 UNIT TITLE: Reasoning and Proof CHAPTERS COVERED: Chapter 2 UNIT LENGTH: 8 class days

Performance Indicators (NJSLS and Objectives)  

Essential Questions

Activities (Approximate Time Frame)  

Vocabulary

Resources

N.Q.2, N.Q.3 A.C.1, A.R.1, A.R.3 G.C.1, G.C.9, G.C.12 Students will be able to… 1. Recognize and analyze a

conditional statement 2. Recognize and use

definitions and biconditional statements

3. Form conclusions by applying the laws of logic to true statements

4. Use properties from algebra

5. Use properties of length and measure to justify segment and angle relationships

6. Justify statements about congruent segments

7. Write reasons for steps in a proof

8. Use angle congruence properties

9. Prove properties about special pairs of angles

• What is the relationship between conditional, converse, inverse, contrapositive, and biconditional statements?

• How do I use logic to reason through problems and puzzles?

• How can I use algebraic and geometric properties, theorems, and postulates to prove properties of segments and angles?

8 days

a. Writing conditional statements and their different forms b. Using deductive reasoning to solve problems c. Reasoning with properties of algebra d. Proving statements about segments e. Proving statements about angles

• Conditional Statement • If-Then Form • Hypothesis • Conclusion • Converse • Negation • Perpendicular Lines • Biconditional Statement • Logical Argument • Law of Detachment • Law of Syllogism • Two-Column Proof • Paragraph Proof

McDougal Littell Geometry Warm-Up/Daily Homework Quiz Worksheets Practice A-C Worksheets Kutasoftware.com pearsonsuccessnet.com standardsolutions.com Examples: 1) 2)

UNIT #4 UNIT TITLE: Parallel and Perpendicular Lines CHAPTERS COVERED: Chapter 3 UNIT LENGTH: 10 class days

Performance Indicators (NJSLS and Objectives)  

Essential Questions

Activities (Approximate Time Frame)  

Vocabulary

Resources

N.Q.2, N.Q.3 A.C.1, A.R.1, A.R.3, A.R.10 G.C.1, G.C.9, G.C.12, G.E.5, G.E.7* Students will be able to… 1. Identify relationships

between lines 2. Identify angles formed

by transversals 3. Prove that lines are

parallel 4. Use properties of parallel

lines 5. Write equations of

parallel and perpendicular lines

• What are relationships between lines?

• What angles are formed by transversals?

• What are properties of parallel and perpendicular lines?

10 days

a. Lines and Angles b. Parallel Lines and Transversals c. Proving Lines are Parallel d. Using Properties of Parallel Lines e. Using Properties of Perpendicular Lines

• Parallel Lines • Skew Lines • Parallel Planes • Transversal • Corresponding Angles • Alternate Interior Angles • Alternate Exterior Angles • Consecutive Interior

Angles • Same Side Interior Angles • Flow Proof

McDougal Littell Geometry Warm-Up/Daily Homework Quiz Worksheets Practice A-C Worksheets Parallel and Perpendicular lines Activity Kutasoftware.com pearsonsuccessnet.com standardsolutions.com Examples: 1) Solve for x. 2) Find the slope of each line and determine which (if any) are parallel or perpendicular.

UNIT #5 UNIT TITLE: Triangles CHAPTERS COVERED: Chapter 4 UNIT LENGTH: 11 class days

Performance Indicators (NJSLS and Objectives)  

Essential Questions

Activities (Approximate Time Frame)  

Vocabulary

Resources

N.Q.2, N.Q.3 A.C.1, A.R.1, A.R.3 G.C.1, G.C.7, G.C.8, G.C.10, G.C.12 Students will be able to… 1. Classify triangles by

their sides and angles 2. Find angle measurements

in triangles 3. Find angle and side

measurements in congruent figures

4. Prove that triangles are congruent using SSS, SAS, ASA, and AAS

5. Use congruent triangles to write proofs

6. Use congruent triangles to prove constructions are valid (if time)

7. Use properties of isosceles and equilateral triangles

8. Use properties of right triangles

9. Identify and use properties of midsegments of a triangle

10. Use triangle measurements to decide which side is longest/shortest, and which angle is

• How do I classify triangles?

• What is the sum of the interior angles of a triangle?

• What are methods used to prove that triangles are congruent?

• What are specific characteristics of isosceles and right triangles?

• What are the properties of midsegments of a triangle?

• How are the angles and sides of triangles related?

• What is the Triangle Inequality Theorem?

• What is an indirect proof?

11 days a. Triangles and Angles b. Congruence and Triangles c. Proving Triangles are Congruent d. Using Congruent Triangles e. Isosceles, Equilateral, and Right Triangles f. Midsegment Theorem g. Inequalities in One Triangle h. Indirect Proof and Inequalities in Two Triangles

• Equilateral Triangle • Isosceles Triangle • Scalene Triangle • Acute Triangle • Equiangular Triangle • Right Triangle • Obtuse Triangle • Vertex of a Triangle • Adjacent Sides of a

Triangle • Legs of a Right Triangle • Hypotenuse • Legs of an Isosceles

Triangle • Base of an Isosceles

Triangle • Interior Angle • Exterior Angle • Corollary • Congruent • Corresponding Angles • Corresponding Sides • Base Angles • Vertex Angle • Coordinate Proof • Midsegment of a Triangle • Indirect Proof

McDougal Littell Geometry Warm-Up/Daily Homework Quiz Worksheets Practice A-C Worksheets Kutasoftware.com pearsonsuccessnet.com standardsolutions.com Examples: 1) Solve for x. 2)

largest/smallest 11. Use the Triangle

Inequality Theorem 12. Read and write indirect

proofs

3) Find the perimeter of each triangle. 4) List the sides from shortest to longest.

UNIT #6 UNIT TITLE: Polygons CHAPTERS COVERED: Chapter 6 and Parts of Chapter 11 UNIT LENGTH: 15 class days

Performance Indicators (NJSLS and Objectives)  

Essential Questions

Activities (Approximate Time Frame)  

Vocabulary

Resources

N.Q.1, N.Q.2, N.Q.3 A.C.1, A.R.1, A.R.3 G.C.1, G.C.11, G.C.12, G.C.13, G.E.4, G.S.6, G.S.7, G.S.8*, G.Ci.5 Students will be able to… 1. Identify and classify

polygons 2. Use properties of

parallelograms 3. Prove that a quadrilateral

is a parallelogram 4. Use properties of

quadrilaterals including rhombi, rectangles, squares, trapezoids, and kites

5. Find the area of triangles and quadrilaterals

6. Develop and use the formula for finding the sum of the measures of the interior and exterior angles of polygons, and the measures of each interior and exterior angle in regular polygons

7. Use proportions to determine the arc length of a circle;

8. Use proportions to determine areas of sectors of circles;

9. Determine geometric

• What are polygons and how do I classify them?

• What are properties of parallelograms?

• How do I prove a quadrilateral is a parallelogram?

• How are various quadrilaterals related?

• How do I find the area of triangles and quadrilaterals? How do I find angle measures in polygons?

• How do I determine the circumference, arc length, and area of circles, as well as the area of a sector of a circle?

• How do I determine geometric probability?

12 days a. Polygons b. Properties of Parallelograms c. Proving Quadrilaterals are Parallelograms d. Rhombuses, Rectangles, and Squares e. Trapezoids and Kites f. Special Quadrilaterals g. Areas of Triangles and Quadrilaterals h. Angle Measures in Polygons i. Circumference and Arc Length j. Areas of Circles and Sectors k. Geometric Probability

• Polygon • Sides of a Polygon • Vertex/Vertices • Convex • Concave/Nonconvex • Equilateral Polygon • Equiangular Polygon • Regular Polygon • Diagonal of a Polygon • Parallelogram • Rhombus • Rectangle • Square • Trapezoid • Bases of a Trapezoid • Base Angles of a

Trapezoid • Legs of a Trapezoid • Isosceles Trapezoid • Midsegment of a

Trapezoid • Kite • Circumference • Arc Length • Sector of a Circle • Geometric Probability

McDougal Littell Geometry Warm-Up/Daily Homework Quiz Worksheets Practice A-C Worksheets Kutasoftware.com pearsonsuccessnet.com standardsolutions.com Examples: 1) Solve for x, y, and z. 2) Find all angle measures.

probability

3) Find all angle measures. 4) Solve for x. 5) Find the area of the sector. 6) Find the probability that a randomly chosen point lies in the shaded region of the figure.

UNIT #7 UNIT TITLE: Similarity CHAPTERS COVERED: Chapter 8 UNIT LENGTH: 8 class days

Performance Indicators (NJSLS and Objectives)  

Essential Questions

Activities (Approximate Time Frame)  

Vocabulary

Resources

N.Q.1, N.Q.2, N.Q.3 A.C.1, A.R.1, A.R.2, A.R.3 G.C.1, G.C.12, G.S.1, G.S.2, G.S.3, G.S.4, G.S.5 Students will be able to… 1. Simplify ratios 2. Identify and solve

proportions using their properties

3. Define, identify, and use similar polygons and triangles to determine unknown values

4. Use AA, SSS, and SAS to determine if triangles are similar

5. Use properties and proportions of similar triangles to find unknown values

6. Identify and determine scale factors of dilations

• What are proportions? • What are similar polygons

and triangles? • How can I prove that

triangles are similar? • What are properties of

similar triangles? • What is a dilation?

8 days a. Problem Solving in Geometry with Proportions b. Similar Polygons c. Similar Triangles d. Proving Triangles are Similar e. Proportions and Similar Triangles f. Dilations

• Ratio • Proportion • Extremes • Means • Geometric Mean • Similar Polygons • Scale Factor • Dilation • Reduction • Enlargement

McDougal Littell Geometry Warm-Up/Daily Homework Quiz Worksheets Practice A-C Worksheets Kutasoftware.com pearsonsuccessnet.com standardsolutions.com Examples: 1) 2) Solve for x.

3) What would the coordinates of the image be after the given dilation?

UNIT #8 UNIT TITLE: Right Triangles and Trigonometry CHAPTERS COVERED: Chapter 9 UNIT LENGTH: 8 class days

Performance Indicators (Standards and Objectives)  

Essential Questions

Activities (Approximate Time Frame)  

Vocabulary

Resources

N.Q.2, N.Q.3 A.C.1, A.R.1, A.R.3 G.C.1, G.C.12, G.C.13, G.S.6, G.S.7, G.S.8*, G.Ci.5 Students will be able to… 1) Use the Pythagorean Theorem to find unknown side lengths of right triangles; 2) Use the Converse of the Pythagorean Theorem to classify triangles; 3) Identifying special right triangles and their properties; 4) Use sine, cosine, and tangent trigonometric ratios with right triangles

• What is the converse of the Pythagorean Theorem and how do I use it to classify triangles?

• What are special right triangles?

• What are the trigonometric ratios and how do I use them to solve right triangles?

8 days a. The Converse of the Pythagorean Theorem b. Special Right Triangles c. Trigonometric Ratios d. Solving Right Triangles

• Pythagorean Triple • Special Right Triangles • Trigonometric Ratio • Sine • Cosine • Tangent • Angle of Elevation • Angle of Depression • Solve a Right Triangle

McDougal Littell Geometry Warm-Up/Daily Homework Quiz Worksheets Practice A-C Worksheets Kutasoftware.com pearsonsuccessnet.com standardsolutions.com Examples: 1) Solve for x and y. 2) Solve the right triangle.

UNIT #9 UNIT TITLE: Surface Area and Volume CHAPTERS COVERED: Chapter 12 UNIT LENGTH: 14 class days

Performance Indicators (NJSLS and Objectives)  

Essential Questions

Activities (Approximate Time Frame)  

Vocabulary

Resources

N.Q.1, N.Q.2, N.Q.3 A.C.1, A.R.1, A.R.3 G.C.12, G.G.1, G.G.3, G.G.4, G.M.1* Students will be able to… 1. Identify and name all

types of solids 2. Use Euler’s formula to

determine the number of faces, edges, or vertices a solid has

3. Determine the slant height of a solid

4. Find the surface area and volume of various prisms, cylinders, pyramids, cones, and spheres

5. Determine the surface area and volume of irregular solids

6. Use properties of similar solids

• What are the different types of solids?

• What is surface area and how do I calculate it?

• What is volume and how do I calculate it?

• What are the properties of similar solids?

14 days a. Exploring Solids b. Surface Area c. Volume d. Similar Solids

• Polyhedron • Face/Edge/Vertex • Regular Polyhedron • Cross Section • Platonic Solids • Tetrahedron • Octahedron • Dodecahedron • Icosadedron • Prism • Bases • Lateral Faces • Right Prism • Oblique Prism • Surface Area • Lateral Area • Net • Cylinder • Right Cylinder • Pyramid • Cone • Volume • Sphere • Great Circle • Hemisphere

McDougal Littell Geometry Warm-Up/Daily Homework Quiz Worksheets Practice A-C Worksheets Spatial Reasoning Activity Video Kutasoftware.com pearsonsuccessnet.com standardsolutions.com Examples: 1) Find the surface area and volume. 2) Find the surface area and volume.

3) Find the surface area and volume.

UNIT #10 UNIT TITLE: Circles CHAPTERS COVERED: Chapter 10 UNIT LENGTH: 10 class days

Performance Indicators (NJSLS and Objectives)  

Essential Questions

Activities (Approximate Time Frame)  

Vocabulary

Resources

N.Q.2, N.Q.3 A.C.1, A.R.1, A.R.3 G.C.1, G.C.12, G.Ci.1, G.Ci.2, G.Ci.3, G.Ci.4 Students will be able to… 1. Identify parts of circles

(radii, diameters, chords, secants, tangents, etc.)

2. Use properties of tangents

3. Identify central angles and use their properties to find measures of arcs

4. Use properties of chords to determine unknown lengths

5. Identify inscribed angles and intercepted arcs and use their properties to determine angle and arc measures

6. Use angle and segment lengths in circles to determines unknown values

• What are chords, secants, and tangents of circles and their properties?

• What are central and inscribed angles, and how are they related to arc measurements?

• What are angle and segment length relationships in circles?

10 days a. Tangents to Circles b. Area and Chords c. Inscribed Angles d. Other Angle Relationships in Circles e. Segment Lengths in Circles

• Circle • Center of a Circle • Radius • Congruent Circles • Diameter • Chord • Secant • Tangent • Tangent Circles • Concentric Circles • Common Tangent • Interior of a Circle • Exterior of a Circle • Point of Tangency • Central Angle • Minor Arc • Measure of a Minor Arc • Major Arc • Measure of a Major Arc • Semicircle • Congruent Arcs • Inscribed Angle • Intercepted Arc • Inscribed Polygon • Circumscribed Circle • Tangent Segment • Secant Segment • External Segment • Standard Equation of a

Circle

McDougal Littell Geometry Warm-Up/Daily Homework Quiz Worksheets Practice A-C Worksheets Kutasoftware.com pearsonsuccessnet.com standardsolutions.com Examples: 1) Solve for x. 2) Solve for x.

UNIT #11 UNIT TITLE: Transformations CHAPTERS COVERED: Chapter 7 UNIT LENGTH: 9 class days

Performance Indicators (NJSLS and Objectives)  

Essential Questions

Activities (Approximate Time Frame)  

Vocabulary

Resources

N.Q.2, N.Q.3, N.V.1, N.V.2, A.C.1, A.R.1, A.R.3 G.C.1, G.C.2, G.C.3, G.C.4, G.C.5, G.C.6, G.C.12, G.S.1 Students will be able to… 1. Identify and name the

different types of transformations

2. Perform reflections in a line

3. Perform rotations about a point

4. Identify line and rotational symmetry of shapes

5. Perform translations on a coordinate grid

6. Use words, vectors, component form, and coordinate notation to describe translations

7. Perform glide reflections and compositions of transformations

8. Describe transformations that occurred based on a diagram

• What are types of transformations?

• How do I perform reflections and determine line symmetry?

• How do I perform rotations and determine rotational symmetry?

• How do I perform and describe translations?

9 days a. Rigid Motion in a Plane b. Reflections c. Rotations d. Translations e. Glide Reflections and Compositions

• Image/Preimage • Transformation • Isometry • Reflection • Line of Reflection • Line of Symmetry • Rotation • Center of Rotation • Angle of Rotation • Rotational Symmetry • Translation • Vector • Initial Point • Terminal Point • Coordinate Notation • Component Form • Glide Reflection • Composition

McDougal Littell Geometry Warm-Up/Daily Homework Quiz Worksheets Practice A-C Worksheets Kutasoftware.com pearsonsuccessnet.com standardsolutions.com Examples: 1) M (4,2) is reflected in the x-axis. What are the coordinates of the image? 2) Determine the lines of reflection (if any) and degrees of rotational symmetry. 3) Describe the composition of transformations.

UNIT #12 UNIT TITLE: Conic Sections CHAPTERS COVERED: Chapter 10 (Algebra 2 Textbook) UNIT LENGTH: 9 class days

Performance Indicators (NJSLS and Objectives)  

Essential Questions

Activities (Approximate Time Frame)  

Vocabulary

Resources

G-GPE.1, G-GPE.2, G-GPE.3 Students will be able to… 1. Identify the conic section

formed depending on the angle of intersection between the cone and plane: circle, parabola, ellipse, and hyperbola

2. Graph and identify the major components of each conic section

3. Differentiate each conic section based variables and operations

4. Use equations of circles

• What are the possible intersections of a cone and a plane?

• What are the equations of each conic section and how do I graph them?

• How do I know which section I am supposed to graph?

• What is the equation of a circle?

9 days

a. Exploring Conic Sections b. Parabolas c. Equations of Circles d. Ellipses e. Hyperbolas

• Axis of Symmetry • Center of a Hyperbola • Center of an Ellipse • Conic Section • Conjugate Axis • Covertices of an Ellipse • Directrix • Ellipse • Focal Length • Focus of a Parabola • Foci of an Ellipse • Foci of a Hyperbola • Hyperbola • Major Axis • Minor Axis • Radius • Transverse Axis • Vertices of an Ellipse • Vertices of a Hyperbola

McDougal Littell Geometry Warm-Up/Daily Homework Quiz Worksheets Practice A-C Worksheets Kutasoftware.com pearsonsuccessnet.com standardsolutions.com Examples: 1) What is the question of this hyperbola? 2) What are the center and intercepts of each conic section? a)

b) 3) What is an equation of the parabola with vertex at the origin and focus (0,2)? 4) What is an equation of a parabola with vertex at the origin and directrix x = 1.25? 5) Write the equation of the circle.

6) What is an equation in standard form of an ellipse centered at the origin with vertex (-6, 0) and co-vertex (0, 3)? 7) What are the foci of the ellipse with the equation 25x2 and 9y2 = 225. Graph the foci and the ellipse. 8) A hyperbola centered at (0, 0) has vertices (±4, 0) and one focus (5, 0). a) What is the standard-form equation of the hyperbola?

UNIT #13 UNIT TITLE: Discrete Math CHAPTERS COVERED: Chapter 3 (ED2 Blue HSPA Workbook) UNIT LENGTH: 4 class days

Performance Indicators (NJSLS and Objectives)  

Essential Questions

Activities (Approximate Time Frame)  

Vocabulary

Resources

S-IC.6 G.C.12, G.G.1, G.G.3, G.G.4, G.M.1* Students will be able to… 1. Determine if a network

traversable 2. Determine if nodes are

even or odd 3. Find the shortest and/or

longest path from one node to another

• What are networks? • How do you calculate the

shortest/longest path?

4 days a. Networks b. Paths

• Network • Nodes (Vertices) • Edges (Segments/Arcs) • Traverse • Path

McDougal Littell Geometry Warm-Up/Daily Homework Quiz Worksheets Practice A-C Worksheets Kutasoftware.com pearsonsuccessnet.com standardsolutions.com Examples: 1) Is the network traversable? 2) Find the shortest path and distance of every vertex.

High School Mathematics

Modifications/Strategies for Student Populations *Interdisciplinary

**21st Century Themes and Skills

21st Century Themes &

Skills**  

Special Education/Gifted

ELL  

At Risk of School

Failure

Benchmarking

Career Skills 1. Multimedia/Videos 2. Public Speaking 3. Career Exploration

Communication

1. Presentations w/Visuals 2. Think-Pair-Share 3. Student presentations

Collaboration 1. Cooperative Projects 2. Project-based Learning 3. Jig Saw 4. Set and Meet goals

Creativity

1. Visual Interpretations 2. Brainstorming 3. Problem Solving and

Design

Critical Thinking 1. Problem-Based Learning 2. Develop effective

strategies 3. Problem Solving

a. Evaluate b. Compare c. Contrast

Special Education 1. Providing

Notes/Modified Notes a. PowerPoints b. SMART Board Notes

2. Guided Notes a. Highlighting b. Underlining c. Providing Definitions

3. Modeling 4. Chunking 5. Scaffolding 6. Repeat/Rephrase 7. Manipulatives/Visuals 8. Realia 9. Graphic Organizers 10. Study Guides 11. Portfolios 12. Modified Texts 13. Conferencing

a. Student b. Parent c. Guidance d. Administration e. CST

14. Tutoring/Extra Help Gifted

1. Self-Directed Learning Independent Research*

1. Bilingual Math Dictionaries

2. Total Physical Response 3. Native/Non-Native

Speaker Groupings 4. Providing

Notes/Modified Notes a. PowerPoints b. SMART Board Notes c. Include native language

in guided notes 5. Guided Notes

a. Highlighting b. Underlining c. Providing Definitions

in English and native language

6. Modeling 7. Chunking 8. Scaffolding 9. Repeat/Rephrase 10. Manipulatives/

Visuals 11. Realia 12. Graphic Organizers 13. Study Guides 14. Portfolios 15. Modified Texts 16. Conferencing

a. Student

1. Providing Notes/ Modified Notes

a. PowerPoints b. SMART Board Notes

2. Guided Reading a. Highlighting b. Underlining c. Providing Definitions

3. Modeling 4. Chunking 5. Scaffolding 6. Repeat/Rephrase 7. Manipulatives/Visuals 8. Realia 9. Study Guides 10. Portfolios 11. Modified Texts 12. Priority Seating 13. Checking Assignments

Pads 14. Conferencing

a. Student b. Parent c. Guidance d. Administration e. CST

15. Tutoring/Extra Help

1. Pre and Post SGO Assessments

2. Study Island 3. Post-lesson exit slips 4. Self-assessment

d. Analyze e. Synthesize f. Create

Technology

1. PARCC Practice 2. SMART Board 3. Graphing Calculator 4. Other Graphing

technologies 5. iPads 6. SMART Response

Technology 7. Quizlet 8. Socrative 9. Kahoot 10. Flubaroo 11. Wikis 12. Google Drive 13. Study Island 14. Virtual High School

2. Individualized Pacing 3. Supplemental Challenge

Problems 4. Virtual High School

b. Parent c. Guidance d. Administration e. CST

17. Tutoring/Extra Help