COURSE OF STUDY UNIT PLANNING GUIDE GEOMETRY 5 CREDITS GRADE LEVEL: FULL YEAR PREPARED BY: NICOLE COSTA PARASKEVI TENTOMAS

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1 COURSE OF STUDY UNIT PLANNING GUIDE FOR: GEOMETRY 5 CREDITS GRADE LEVEL: FULL YEAR PREPARED BY: NICOLE COSTA PARASKEVI TENTOMAS 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

2 Grade 10 Full Year 5 Credits is offered to students who have successfully completed an Algebra 1 course. 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. Additional emphasis is placed on reinforcing foundational skills. 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 - 40% 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 - 15% of the grade Homework will be evaluated for completeness, neatness, and/or accuracy. D Class Participation/Class Work - 10% 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 % of final grade Quarter 1 45% of final grade Quarter % of final grade Quarter 2 45% of final grade Quarter % of final grade Final Exam 10% of final grade Quarter % 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.

3 High School Mathematics Participation Rubric Attendance Preparedness Oral Participation 1(60) Inadequate -Almost never with attendance policies and/or punctuality -Almost never makes up work in timely fashion -Almost never has pencil, books, calculators, and/or notebooks -Almost never has assignments on time -Almost never asks & answers questions without prompting 2(70) Limited -Rarely abides by attendance policies and/or punctuality -Rarely makes up work in timely fashion -Rarely has pencil, books, calculators, and/or notebooks -Rarely has assignments on time -Rarely asks & answers questions without prompting 3(80) Partial -Sometimes struggles with attendance policies and/or punctuality -Sometimes makes up work in timely fashion -Sometimes has pencil, books, calculators, and/or notebooks -Sometimes has assignments on time -Sometimes asks & answers questions without prompting 4(90) Adequate -Almost always punctual -Almost always makes up work in timely fashion -Not disruptive when tardy -Almost always has pencil, books, calculators, and/or notebooks -Almost always has assignments on time -Almost always asks & answers questions without prompting 5(100) Superior -Always punctual -Always makes up work in a timely fashion -Always has pencil, books, calculators, and/or notebooks -Always has assignments on time -Always asks & answers questions without prompting (daily) Written Participation Cooperative Learning -Almost never takes notes -Almost never makes corrections on homework/ class work and/or applies teacher recommendations to writing -Almost never provides meaningful input -Almost never focused on the assignment -Almost never assumes a leadership role -Rarely takes notes -Rarely makes corrections on homework/ class work and/or applies teacher recommendations to writing -Rarely provides meaningful input -Rarely focused on the assignment -Rarely assumes a leadership role -Sometimes takes notes -Sometimes makes corrections on homework/ class work and/or applies teacher recommendations to writing -Sometimes provides meaningful input -Sometimes focused on the assignment -Sometimes assumes a leadership role -Almost always takes notes -Almost always makes corrections on homework/ class work and applies teacher recommendations to writing -Almost always provides meaningful input -Almost always focused on the assignment -Almost always assumes a leadership role -Always takes notes -Always makes corrections on homework/ classwork and applies teacher recommendations to writing -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 *Score of Zero Results from Limited or No Response to Class Participation/Class Work -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

4 UNIT # 1 UNIT TITLE: Summer Assignment/Review CHAPTERS COVERED: Parts of Chapters 1, 3, 4, 5, 7, 8, 11 UNIT LENGTH: Summer 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 1. Find and describe patterns 2. Write equations of parallel and perpendicular lines 3. Simplify ratios 4. Identify and solve proportions using their properties 5. Use Pythagorean Theorem What are ratios and proportions? What is the Pythagorean Theorem? Summer a. Patterns b. Pythagorean Theorem c. Area and Perimeter of squares, rectangles, triangles, circles d. Classifying Angles e. Simplifying Ratios f. Proportions g. Identifying Transformations Parallel Lines Perpendicular Lines Ratio Proportion Pythagorean Theorem Transformations Patterns Obtuse Acute Right Straight Reflection Rotation Translation Symmetry

5 UNIT # 2 UNIT TITLE: Basics of CHAPTERS COVERED: Chapter 1, 2 UNIT LENGTH: 8 class days N.Q.1, N.Q.2, N.Q.3 A.C.1, A.R.1, A.R.3 G.C.1, G.C 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? 8 days a. Points, Lines, Planes b. Segment and Angle Measures c. Segment and Angle Bisectors d. 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 Warm-Up/Daily Homework Quiz Worksheets Practice A-C Worksheets Examples: 1) 2) Ray BT bisects angle ABC. Find x. 3) Find the perimeter and areas.

6 Complementary Angles Supplementary Angles

7 UNIT #3 UNIT TITLE: Reasoning and Proof CHAPTERS COVERED: Chapter(s) 2 UNIT LENGTH: 8 class days N.Q.2, N.Q.3 A.C.1, A.R.1, A.R.3 G.C.1, G.C.9, G.C Use symbolic notation to represent logical statements 2. Form conclusions by applying the laws of logic to true statements 3. Use properties from algebra 4. Use properties of length and measure to justify segment and angle relationships 5. Justify statements about congruent segments 6. Write reasons for steps in a proof 7. Use angle congruence properties 8. Prove properties about special pairs of angles 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. Conjectures b. Counterexamples c. Reasoning with properties of algebra d. Proving statements about segments e. Proving statements about angles Equivalent Statement Logical Argument Law of Detachment Law of Syllogism Two-Column Proof Warm-Up/Daily Homework Quiz Worksheets Practice A-C Worksheets Examples: 1) 2)

8 UNIT #4 UNIT TITLE: Parallel and Perpendicular Lines CHAPTERS COVERED: Chapter 3 UNIT LENGTH: 10 class days 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* 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 Warm-Up/Daily Homework Quiz Worksheets Practice A-C Worksheets Parallel and Perpendicular lines Activity Examples: 1) Solve for x. 2) Find the slope of each line and determine which (if any) are parallel or perpendicular.

9 UNIT #5 UNIT TITLE: Congruent Triangles CHAPTERS COVERED: Chapter 4, 5 UNIT LENGTH: 14 class days 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 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 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? 14 days a. Triangles and Angles b. Congruence and Triangles c. Proving Triangles are Congruent d. Using Congruent Triangles e. Isosceles, Equilateral, and Right 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 Warm-Up/Daily Homework Quiz Worksheets Practice A-C Worksheets Examples: 1) Solve for x. 2)

10 UNIT #6 UNIT TITLE: Properties of Triangles CHAPTERS COVERED: Chapter 4, 5 UNIT LENGTH: 10 class days N.Q.2, N.Q.3 A.C.1, A.R.1, A.R.3 G.C.1, G.C.10, G.C Identify and use properties of perpendicular bisectors and angle bisectors of segments 2. Identify and use properties of perpendicular bisectors, angle bisectors, and medians 3. Identify and use properties of midsegments of a triangle 4. Use triangle measurements to decide which side is longest/ shortest, and which angle is largest/smallest What are the properties of perpendicular bisectors and angle bisectors of segments? What are the properties of perpendicular bisectors, angle bisectors, and, medians of triangles? What are the properties of midsegments of a triangle? How are the angles and sides of triangles related? 10 days a. Perpendicular and Bisectors b. Bisectors of a Triangle c. Medians and Altitudes of a Triangle d. Midsegment Theorem Perpendicular Bisector Equidistant Shortest Distance Perpendicular Bisector of a Triangle Concurrent Lines Point of Concurrency Circumcenter of a Triangle Angle Bisector of a Triangle Incenter of a Triangle Median of a Triangle Centroid of a Triangle Midsegment of a Triangle Warm-Up/Daily Homework Quiz Worksheets Practice A-C Worksheets Constructions Examples: 1) 2) Find the perimeter of each triangle.

11 3) List the sides from shortest to longest.

12 UNIT #7 UNIT TITLE: Polygons CHAPTERS COVERED: Chapter 6, 8 UNIT LENGTH: 12 class days 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 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 quadrilaterals. 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 you find the area of special quadrilaterals? 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 Quadrilaterals 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 Warm-Up/Daily Homework Quiz Worksheets Practice A-C Worksheets Examples: 1) Solve for x, y, and z. 2) Find all angle measures.

13 3) Find all angle measures.

14 UNIT #8 UNIT TITLE: Area of Polygons and Circles CHAPTERS COVERED: Chapter(s) 8, 11 UNIT LENGTH: 10 class days 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 1. 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 2. Use proportions to determine the arc length of a circle 3. Use proportions to determine areas of sectors of circles 4. Determine geometric probability 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? 10 days a. Angle Measures in Polygons b. Perimeters and Areas of Similar Figures c. Circumference and Arc Length d. Areas of Circles and Sectors e. Geometric Probability Circumference Arc Length Sector of a Circle Probability Geometric Probability Warm-Up/Daily Homework Quiz Worksheets Practice A-C Worksheets Examples: 1) Solve for x. 2) Find the area of the sector.

15 3) Find the probability that a randomly chosen point lies in the shaded region of the figure.

16 UNIT #9 UNIT TITLE: Transformations CHAPTERS COVERED: Chapter 3, 5, 7, 11 UNIT LENGTH: 10 class days 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 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 9. Identify and determine scale factors of dilations 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? What is a dilation? 10 days a. Rigid Motion in a Plane b. Reflections c. Rotations d. Translations e. Glide Reflections and Compositions f. Dilations 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 Dilation Reduction Enlargement Scale Factor Warm-Up/Daily Homework Quiz Worksheets Practice A-C Worksheets 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.

17 UNIT #10 UNIT TITLE: Similarity CHAPTERS COVERED: Chapter 7 UNIT LENGTH: 8 class days 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 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 to determine if triangles are similar 5. Use properties and proportions of similar triangles to find unknown values What are proportions? What are similar polygons and triangles? How can I prove that triangles are similar? What are properties of similar triangles? 8 days a. Problem Solving in with Proportions b. Similar Polygons c. Similar Triangles d. Proving Triangles are Similar e. Proportions and Similar Triangles Ratio Proportion Extremes Means Geometric Mean Similar Polygons Scale Factor Warm-Up/Daily Homework Quiz Worksheets Practice A-C Worksheets Examples: 1) 2) Solve for x.

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

19 UNIT #11 UNIT TITLE: Right Triangles and Trigonometry CHAPTERS COVERED: Chapter 10 UNIT LENGTH: 8 class days 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 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. 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 the trigonometric ratios and how do I use them to solve right triangles? 8 days a. The Converse of the Pythagorean Theorem b. Trigonometric Ratios c. Solving Right Triangles Pythagorean Triple Special Right Triangles Trigonometric Ratio Sine Cosine Tangent Angle of Elevation Angle of Depression Solve a Right Triangle Warm-Up/Daily Homework Quiz Worksheets Practice A-C Worksheets Examples: 1) Solve for x and y. 2) Solve the right triangle.

20 UNIT #12 UNIT TITLE: Circles CHAPTERS COVERED: Chapter 11 UNIT LENGTH: 10 class days 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 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 Warm-Up/Daily Homework Quiz Worksheets Practice A-C Worksheets Examples: 1) Solve for x. 2) Solve for x.

21 UNIT #13 UNIT TITLE: Surface Area and Volume CHAPTERS COVERED: Chapter 9 UNIT LENGTH: 14 class days 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* 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 Warm-Up/Daily Homework Quiz Worksheets Practice A-C Worksheets Spatial Reasoning Activity Video Examples: 1) Find the surface area and volume. 2) Find the surface area and volume.

22 3) Find the surface area and volume.

23 UNIT #14 UNIT TITLE: Conic Sections CHAPTERS COVERED: Chapter 10 (Algebra 2 Textbook) UNIT LENGTH: 9 class days G-GPE.1, G-GPE.2, G- GPE.3, G-GPE.1, G-GPE.2, G-GPE.3, G-GPE.1, G- GPE.2, G-GPE.3 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 Warm-Up/Daily Homework Quiz Worksheets Practice A-C Worksheets Examples: 1) What is the question of this hyperbola? 2) What are the center and intercepts of each conic section? a)

24 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?

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 25x 2 and 9y 2 = 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?

26 UNIT #15 UNIT TITLE: Discrete Math CHAPTERS COVERED: Chapter 3 (ED2 Blue HSPA Workbook) UNIT LENGTH: 4 class days S-IC.6 G.C.12, G.G.1, G.G.3, G.G.4, G.M.1* 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? a. Networks b. Paths 4 days Network Nodes (Vertices) Edges (Segments/Arcs) Traverse Path Warm-Up/Daily Homework Quiz Worksheets Practice A-C Worksheets Examples: 1) Is the network traversable? 2) Find the shortest path and distance of every vertex.

27 High School Mathematics Modifications/Strategies for Student Populations *Interdisciplinary **21 st Century Themes and Skills 21 st 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 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 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 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

28 c. Contrast 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 Independent Research* 2. Individualized Pacing 3. Supplemental Challenge Problems 4. Virtual High School 15. Modified Texts 16. Conferencing a. Student b. Parent c. Guidance d. Administration e. CST 17. Tutoring/Extra Help