Geometry Chapter 8 & 11 Capacity Matrix Quadrilaterals and Areas of Polygons and Circles
|
|
- Brianna Hart
- 5 years ago
- Views:
Transcription
1 Geometry Chapter 8 & 11 Capacity Matrix Quadrilaterals and Areas of Polygons and Circles Learning Targets: The student can: 1. Learn all the quadrilaterals and their attributes. (All of Ch 8) 2. Solve geometric problems using the quadrilateral properties. (All of Ch 8) 3. Interpret units of measurement in formulas, including units used in dimensional analysis. (All of Ch 11) 4. Explain proofs or reasoning related to theorems about parallelograms. Theorems include, but are not limited to: opposite sides are congruent, opposite angles are congruent, the diagonals of a parallelogram bisect each other, and conversely, rectangles are parallelograms with congruent diagonals. (All of Ch 8) 5. Explain proofs or reasoning related to theorems about circles. Include proof that all circles are similar. (Ch 11) Section Required Assignments Additional Resources Sec 8-1 Angles of Polygons (Formative Assessments) Sec 8-2 Parallelograms (Formative Assessments) Sec 8-3 Tests for Parallelograms (Formative Assessments) Sec 8-4 Rectangles (Formative Assessments) Sec 8-5 Rhombi and Squares (Formative Assessments) Sec 8-6 Trapezoids (Formative Assessments) Chapter 8 Project Chapter 8 Triple Entry Journal Sec 8-1 # s 1-12 Sec 8-1 # s 13, 15, 21, 23, 27, 29, 31 (7 questions) Pg 769 Lesson 8-1 # s 1-12 N2 Properties of parallelograms (ixl) Sec 8-2 # s 17, 19, (13 questions) Sec 8-2 # s 1-15 Pg 769 Lesson 8-2 # s 1-16 N3 Proving a quadrilateral is a parallelogram (ixl) N4 Properties of rhombuses (ixl) N5 Properties of squares and rectangles (ixl) N7 Properties of kites (ixl) N1 Classify quadrilaterals (ixl) N6 Properties of trapezoids (ixl) N8 Review: properties of quadrilaterals (ixl) Chapter 8 Project Sec 8-3 # s 13, 15, 17, 19, 21, 23, 25, 27, 29, 31 (10 questions) Sec 8-3 # s 1-12 Pg 769 Lesson 8-3 # s 1-10 Sec 8-4 # s 11, 13, 15, 17, 19, 21, 23, 27, 29, 31, 33 (11 questions) Sec 8-4 # s 1-9 Pg 770 Lesson 8-4 # s 1-18 Sec 8-5 # s 13, 15, 17, 19, 21, 23 (6 questions) Sec 8-5 # s 1-11 Pg 770 Lesson 8-5 # s 1-8 Sec 8-6 # s 9, 11, 13, 15, 17, 23, 25, (10 questions) Sec 8-6 # s 1-8 Pg 770 Lesson 8-6 # s 1-8
2 Sec 11-1 Areas of Parallelograms (Formative Assessments) Sec 11-2 Areas of Triangles, Trapezoids and Rhombi (Formative Assessments) Sec 11-3 Areas of Regular Polygons and Circles (Formative Assessments) Sec 10-1 Circles and Circumferences (Formative Assessments) Sec 10-2 Angles and Arcs (Formative Assessments) Quiz on Sec 11-1 to 11-3, 10-1 & 10-2 Summative Assessment Must score > 70 Sec 11-4 Areas of Irregular Figures (Formative Assessments) Sec 11-5 Geometric Probability (Formative Assessments) Sec 11-1 # s 9, 11, 13, 15, 17, 21, 23, 25, 27 (9 questions) S1 Perimeter (ixl) S2 Area of rectangles and squares (ixl) Sec 11-2 # s 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35 (12 questions) S3 Area of parallelograms and triangles (ixl) S4 Area of trapezoids (ixl) Sec 11-3 # s 9, 11, 13, 15, 17, 19, 27, 29 (8 questions) Sec 10-1 # s 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 45, 47, 53, 55 (17 questions) S7 Area and circumference of circles (ixl) Sec 10-2 # s 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37 (12 questions) Things you should know: How to compute the area of a parallelogram, triangle, trapezoid, rhombi, regular polygons, circles? Can you find the area of shaded regions by finding the 2 areas and either adding/subtracting them? What is the slope formula? What is the distance formula? How do you find the circumference of a circle? How do you find the area of a sector? How do you find the arc length of a circle? Sec 11-4 # s 9, 11, 13, 15, 17, 19, 21 (7 questions) S6 Area and perimeter in the coordinate plane II (ixl) S8 Area of compound figures (ixl) S9 Area between two shapes (ixl) Sec 11-5 # s 7, 9, 11, 13, 15, 17, 19, 21, 23 (9 questions) Sec 11-1 # s 1-8 Pg 776 Lesson 11-1 # s 1-7 Sec 11-2 # s 1-12 Pg 776 Lesson 11-2 # s 1-11 Sec 11-3 # s 1-7 Pg 777 Lesson 11-3 # s 1-7 Sec 10-1 # s 1-15 Pg 773 Lesson 10-1 # s 1-10 Sec 10-2 # s 1-13 Pg 774 Lesson 10-2 # s 1-12 Sec 11-4 # s 1-7 Pg 777 Lesson 11-4 # s 1-6 Sec 11-5 # s 1-6 Pg 777 Lesson 11-5 # s 1-6
3 Quiz on Sec 11-4 & 11-5 Summative Assessment Must score > 70 Things you should know: Take home quiz on geometric probability. Topics include SohCahToa, Special Right Triangles, Geometric Means, Pythagorean Theorem, Law of Sines & Law of Cosines. Chapter 8 & 11 Review Chapter 8 Study Guide & Review pg 452 # s 1-34 Chapter 10 Study Guide & Review pg 581 # s 1-28 Chapter 11 Study Guide & Review pg 628 # s 1-20 Chapter 11 Project Chapter 8 & 11 Test Chapter 11 Project (Summative Assessment: Must score > 70.) Chapter 8 & 11 TEST (Summative Assessment: Must score > 70.) Ch 8 Practice Test pg 457 # s 1-15, 18, 19 Ch 11 Practice Test pg 631 # s 1-20
4 Chapter 8 & 11 Triple Entry Journal Word Definitions Picture and/or Example diagonal (pg 404) isosceles trapezoid (pg 439) kite (pg 438) parallelogram (pg 411) rectangle (pg 424) rhombus (pg 431) square (pg 432) trapezoid (pg 439) apothem (pg 610) geometric probability (pg 622) irregular figure (pg 617) irregular polygon (pg 618)
5 Geometry Ch 8 Quadrilaterals & Ch 11 Areas of Polygons and Circles Sec 8-1 Angles of Polygons How do you find what all the angles inside of a polygon add up to? Method #1: Every triangle has 180 degrees with all the angles added. You can break shapes into triangles and then add up all the 180 s. Method #2: Plug the number of sides in for n into the formula: (n 2)180 and calculate. What is an exterior angle? What is the sum of ALL exterior angles?
6 Sec 8-2 Parallelograms What is the difference between Quadrilaterals and Parallelograms? In a parallelogram, tell me what you know about a) The sides b) The angles c) The consecutive angles d) The diagonals
7 Sec 8-3 Tests for Parallelograms How can you test to see if a quadrilateral is a parallelogram? 1. Are both pairs of opposite sides parallel? 2. Are both pairs of opposite sides congruent? 3. Are both pairs of opposite angles congruent? 4. Do the diagonals bisect each other? 5. Are the consecutive angles supplementary? Using coordinates to prove a shape is a parallelogram. Prove A(-3, 0), B(-1, 3), C(3, 2), D(1, -1) is a parallelogram Method #1 Method #2 (Find slopes and (Find distance of each side prove opposite sides and prove opposite sides are parallel.) are equal.)
8 Sec 8-4 Rectangles What are some properties of rectangles? 1. Opposite sides are congruent and parallel. 2. Opposite angles are congruent. 3. Consecutive angles are supplementary. 4. Diagonals are congruent AND bisect each other. 5. All four angles are RIGHT angles. Solving using rectangle properties In rectangle LMNP, draw in diagonals MP and NL and label <MLN = 5x + 8, <NLP = 3x + 2, and <MNL = 6y + 2. Find x AND y. Using coordinates to prove a shape is a rectangle. Prove whether Quadrilateral ABCD is a rectangle or not. A(-2, 1), B(4, 3), C(5, 0), and D(-1, -2). (Find the SLOPES and prove they have opposite signs & reciprocal slopes which proves they make 90 degrees.)
9 Sec 8-5 Rhombi and Squares Properties of a Rhombus. 1. A rhombus has ALL the properties of a parallelogram. 2. All equal sides. 3. Opposite angles are equal. 4. The diagonals are perpendicular. 5. If the diagonals of a parallelogram are perpendicular, then the parallelogram is a rhombus. 6. Each diagonal of a rhombus bisects a pair of opposite angles. Properties of a Square. 1. A square has ALL the properties of a parallelogram. 2. A square has ALL the properties of a rectangle. 3. A square has ALL the properties of a rhombus.
10 Sec 8-5 Rhombi and Squares In rhombus LMNP, draw in diagonal MP and LN and they intersect at Q. a) If <NQM =, find y. b) Find m<pnl if m<mlp = 64. Using coordinates to prove a shape is a rectangle. Determine whether parallelogram ABCD is a rhomus, a rectangle, or a square for A(-2, -1), B(-1, 3), C(3, 2), and D(2, -2).
11 Sec 8-6 Trapezoids Types of Trapezoids Properties of trapezoids 1. The base sides are parallel. Properties of isosceles trapezoids 1. Both pairs of base angles (the top pair and the bottom pair) of an isosceles trapezoid are congruent. 2. The diagonals of an isosceles trapezoid are congruent. 3. The two legs are congruent. Median of a trapezoid
12 Sec 8-6 Trapezoids Solving using properties of trapezoids DEFG is an isosceles trapezoid with median MN. Find DG if EF = 20 and MN = 30. (EF and DG are the parallel sides.) Using the same trapezoid above, find <D, <G, <E and <F if m<d = 3x + 5, and m<e = 6x 5. Using coordinates to prove a shape is a trapezoid or isosceles trapezoid. ABCD is a quadrilateral with vertices A(5, 1), B(-3, -1), C(-2, 3), and D(2, 4). Prove whether this shape is a trapezoid or an isosceles trapezoid.
13 Quadrilateral Summaries
14 Sec 11-1 Areas of Parallelograms Area of Parallelograms formula Example of finding the area AND perimeter of a parallelogram. Using coordinates to prove a shape is a square, rectangle or a parallelogram. The vertices of a quadrilateral are at A(-2, 3), B(4, 1), C(3, -2), and D(-3, 0). Find the area of the quadrilateral.
15 Sec 11-2 Areas of Triangles, Trapezoids, and Rhombi Area of a Triangle Area of a Trapezoid Area of a Rhombus
16 Sec 11-2 Areas of Triangles, Trapezoids, and Rhombi Using coordinates to find area. Find the area of trapezoid RSTU with vertices R(4, 2), S(6, -1), T(-2, -1), and U(-1, 2). Find the area of rhombus MNPR with vertices at M(0, 1), N(4, 2), P(3, -2), and R(-1, -3).
17 Sec 11-3 Areas of Regular Polygons and Circles Area of Regular Polygons (Area = ½ x apothem x perimeter) Area of a Circle Find the area Find the area of a regular pentagon with a perimeter of 90 meters.
18 Sec 11-3 Areas of Regular Polygons and Circles Find the area of the shaded section Find the area of the shaded region. Find the area of the regular hexagon.
19 Sec 10-1 Circles and Circumferences What is the difference between the radius and diameter of a circle? Find the Circumference and the Area of the circle.
20 Sec 10-2 Angles and Arcs What is a central angle? What is the sum of all central angles in a circle? What is the arc length? What is the area of a sector? Find the circumference AND the area of the sector.
21 Sec 11-4 Areas of Irregular Figures Find the areas of these irregular shapes. (Break them into simpler and more familiar shapes.) *You will NEED to know your special right triangles & Pythagorean Theorem to help solve many of these areas.
22 Sec 11-5 Geometric Probability Multi-step irregular areas (Topics include SohCahToa, Special Right Triangles, Geometric Means, Pythagorean Theorem, Law of Sines & Law of Cosines.)
23 Sec 11-5 Geometric Probability (continued ) Multi-step irregular areas (Topics include SohCahToa, Special Right Triangles, Geometric Means, Pythagorean Theorem, Law of Sines & Law of Cosines.)
24 Geometry Chapter 8 & 11 Study Guide Section 8-1 Angles of Polygons What is the Interior Angle Sum Theorem? What is the Exterior Angle Sum Theorem? How many sides does a triangle, quadrilateral, pentagon, hexagon, heptagon, octagon, nonagon and decagon have? Section 8-2 Parallelograms Can you use the area of a parallelogram formula? Do you know the properties of a parallelogram? (Which sides are equal? Which angles are equal? Do the diagonals bisect each other? Do the diagonals meet at a perpendicular angle?) Section 8-3 Tests for Parallelograms What are some tests you can do to see if a quadrilateral is a parallelogram? What is the slope formula? What is the distance formula? Section 8-4 Rectangles Can you use the area of a rectangle formula? Do you know the properties of a rectangle? (Which sides are equal? Which angles are equal? Do the diagonals bisect each other? Do the diagonals meet at a perpendicular angle?)
25 Section 8-5 Rhombi and Squares Can you use the area of a Rhombi formula? Can you use the area of a Square formula? Do you know the properties of a rhombi? (Which sides are equal? Which angles are equal? Do the diagonals bisect each other? Do the diagonals meet at a perpendicular angle?) Do you know the properties of a square? (Which sides are equal? Which angles are equal? Do the diagonals bisect each other? Do the diagonals meet at a perpendicular angle?) Section 10-1 Circles and Circumference Do you know the difference between a radius and a diameter? Can you use the circumference of a circle formula? Can you use the area of a Square formula? Section 10-2 Angles and Arcs Do you know the sum of all central angles in a circle? Can you use the arc length of a circle formula? Can you use the sector area of a circle formula? Sec 11-1 Areas of Parallelograms Can you use the area of a parallelogram formula? On a coordinate grid, how can you prove two lines meet at a 90 degree angle? On a coordinate grid, how can you prove two lines are the same length?
26 Section 11-2 Areas of Triangles, Trapezoids, and Rhombi Can you use the area of a triangle formula? Can you use the area of a trapezoid formula? Can you use the area of a rhombi formula? Section 11-3 Areas of Regular Polygons and Circles Can you use the area of regular polygons formula? Can you use the area of a circle formula? Section 11-4 Areas of Irregular Figures Can you find the area of an irregular figure by breaking it into smaller known shapes? Section 11-5 Geometric Probability Can you use the formula for geometric probability? Formulas that are fair to use in a geometric probability question: all area formulas (listed above) special right triangles Pythagorean theorem geometric mean SohCahToa Law of Sines Law of Cosines
27 CSI Geometry: Area Learning Targets Scene Scene 1 Scene 2 Scene 3 Scene 4 Scene 5 Calculating Areas of Polygons and Circles Area Dissection Area of Irregular Figures Geometric Probability Earned Points Possible Points What is being scored? 5 pts Write out the general area equation, plug the numbers in and calculated the area correctly. 2 pts Showed all your work and found the area of The QUAD. 2 pts Showed all your work and found the area of The PENTA. 2 pts Showed all your work and found the area of The HEX. 2 pts Showed all your work and found the area of The OCTO. 2 pts Answered the question Which gives you the most scrumptious pizza for your dollar? correctly. 2 pts Broke the shape up into smaller familiar shapes that you can find the area of. 2 pts Wrote formula, plugged in numbers and found area of shape #1. 2 pts Wrote formula, plugged in numbers and found area of shape #2. 2 pts Wrote formula, plugged in numbers and found area of shape #3. 2 pts Wrote formula, plugged in numbers and found area of shape #4. 2 pts Answered the question Which area is the closest approximation? correctly. 5 pts Wrote out the formula, plugged in numbers and found the probability the spinner landed on the Shedd Aquarium correctly. 2 pts Showed your work and found the area of the court. 2 pts Showed all your work and found the area of all the triangles. 2 pts Showed all your work and found the probability of Armstrong making the shot. 2 pts Showed all your work and found the area of all the rectangles. 2 pts Showed all your work and found the probability of Grant 2 pts 2 pts 2 pts 2 pts 2 pts making the shot. Showed all your work and found the area of all the trapzoids. Showed all your work and found the probability of Harper making the shot. Showed all your work and found the area of all the circles. Showed all your work and found the probability of KukoC making the shot. Answered the question Which player has the lowest probability? correctly. Done?
28 Scene 6 Cryptic Puzzle Solver Text Message Case Summary 2 pts 2 pts 2 pts 2 pts 2 pts 2 pts 2 pts 2 pts 2 pts 4 pts 5 pts 5 pts 5 pts 5 pts Showed your work and found the area of the entire park correctly. Showed your work and found the area of the white circle parts correctly. Showed your work and found the area of the white shape in the top, right corner correctly. Showed your work and found the area of the triangle parts correctly. Showed your work and found the area of the parallelogram parts correctly. Showed your work and found the area of the trapezoid parts correctly. Showed your work and found the area of the walkway parts correctly. Answered the question Which is the closest approximation for the amount of grassy space? correctly. Plugged numbers in correctly. Showed and EXPLAINED your work and came out with the correct answer and who is our criminal. Prepare a typed case in which you need to demonstrate your understanding of each of the following topics: Calculating Areas of Polygons and Circles (Find one example from this project and one example from your book. Explain HOW you did them BOTH.) Area Dissection (Find one example from this project and one example from your book. Explain HOW you did them BOTH.) Area of Irregular Figures (Find one example from this project and one example from your book. Explain HOW you did them BOTH.) Geometric Probability (Find one example from this project and one example from your book. Explain HOW you did them BOTH.) 6 pts What 6 vocabulary words and definitions were necessary throughout this project? Final Score
STANDARDS OF LEARNING CONTENT REVIEW NOTES HONORS GEOMETRY. 3 rd Nine Weeks,
STANDARDS OF LEARNING CONTENT REVIEW NOTES HONORS GEOMETRY 3 rd Nine Weeks, 2016-2017 1 OVERVIEW Geometry Content Review Notes are designed by the High School Mathematics Steering Committee as a resource
More informationLines Plane A flat surface that has no thickness and extends forever.
Lines Plane A flat surface that has no thickness and extends forever. Point an exact location Line a straight path that has no thickness and extends forever in opposite directions Ray Part of a line that
More informationPerformance Objectives Develop dictionary terms and symbols
Basic Geometry Course Name: Geometry Unit: 1 Terminology & Fundamental Definitions Time Line: 4 to 6 weeks Building Blocks of Geometry Define & identify point, line, plane angle, segment, ray, midpoint,
More informationUnit 5: Polygons and Quadrilaterals
Unit 5: Polygons and Quadrilaterals Scale for Unit 5 4 Through independent work beyond what was taught in class, students could (examples include, but are not limited to): - Research a unique building
More informationSOL Chapter Due Date
Name: Block: Date: Geometry SOL Review SOL Chapter Due Date G.1 2.2-2.4 G.2 3.1-3.5 G.3 1.3, 4.8, 6.7, 9 G.4 N/A G.5 5.5 G.6 4.1-4.7 G.7 6.1-6.6 G.8 7.1-7.7 G.9 8.2-8.6 G.10 1.6, 8.1 G.11 10.1-10.6, 11.5,
More informationAny questions about the material so far? About the exercises?
Any questions about the material so far? About the exercises? Here is a question for you. In the diagram on the board, DE is parallel to AC, DB = 4, AB = 9 and BE = 8. What is the length EC? Polygons Definitions:
More informationSTANDARDS OF LEARNING CONTENT REVIEW NOTES GEOMETRY. 3 rd Nine Weeks,
STANDARDS OF LEARNING CONTENT REVIEW NOTES GEOMETRY 3 rd Nine Weeks, 2016-2017 1 OVERVIEW Geometry Content Review Notes are designed by the High School Mathematics Steering Committee as a resource for
More informationSecondary Math II Honors. Unit 4 Notes. Polygons. Name: Per:
Secondary Math II Honors Unit 4 Notes Polygons Name: Per: Day 1: Interior and Exterior Angles of a Polygon Unit 4 Notes / Secondary 2 Honors Vocabulary: Polygon: Regular Polygon: Example(s): Discover the
More informationPre-AICE 2: Unit 5 Exam - Study Guide
Pre-AICE 2: Unit 5 Exam - Study Guide 1 Find the value of x. (The figure may not be drawn to scale.) A. 74 B. 108 C. 49 D. 51 2 Find the measure of an interior angle and an exterior angle of a regular
More informationInstructional Unit CPM Geometry Unit Content Objective Performance Indicator Performance Task State Standards Code:
306 Instructional Unit Area 1. Areas of Squares and The students will be -Find the amount of carpet 2.4.11 E Rectangles able to determine the needed to cover various plane 2. Areas of Parallelograms and
More informationLesson 9: Coordinate Proof - Quadrilaterals Learning Targets
Lesson 9: Coordinate Proof - Quadrilaterals Learning Targets Using coordinates, I can find the intersection of the medians of a triangle that meet at a point that is two-thirds of the way along each median
More informationUnit 3: Triangles and Polygons
Unit 3: Triangles and Polygons Background for Standard G.CO.9: Prove theorems about triangles. Objective: By the end of class, I should Example 1: Trapezoid on the coordinate plane below has the following
More information14. How many sides does a regular polygon have, if the measure of an interior angle is 60?
State whether the figure is a polygon; if it is a polygon, state whether the polygon is convex or concave. HINT: No curves, no gaps, and no overlaps! 1. 2. 3. 4. Find the indicated measures of the polygon.
More informationReview: What is the definition of a parallelogram? What are the properties of a parallelogram? o o o o o o
Geometry CP Lesson 11-1: Areas of Parallelograms Page 1 of 2 Objectives: Find perimeters and areas of parallelograms Determine whether points on a coordinate plane define a parallelogram CA Geometry Standard:
More informationLesson 4.3 Ways of Proving that Quadrilaterals are Parallelograms
Lesson 4.3 Ways of Proving that Quadrilaterals are Parallelograms Getting Ready: How will you know whether or not a figure is a parallelogram? By definition, a quadrilateral is a parallelogram if it has
More informationGeometry Unit 6 Properties of Quadrilaterals Classifying Polygons Review
Geometry Unit 6 Properties of Quadrilaterals Classifying Polygons Review Polygon a closed plane figure with at least 3 sides that are segments -the sides do not intersect except at the vertices N-gon -
More informationPeriod: Date Lesson 13: Analytic Proofs of Theorems Previously Proved by Synthetic Means
: Analytic Proofs of Theorems Previously Proved by Synthetic Means Learning Targets Using coordinates, I can find the intersection of the medians of a triangle that meet at a point that is two-thirds of
More informationGeometry Foundations Planning Document
Geometry Foundations Planning Document Unit 1: Chromatic Numbers Unit Overview A variety of topics allows students to begin the year successfully, review basic fundamentals, develop cooperative learning
More informationPolygons are named by the number of sides they have:
Unit 5 Lesson 1 Polygons and Angle Measures I. What is a polygon? (Page 322) A polygon is a figure that meets the following conditions: It is formed by or more segments called, such that no two sides with
More informationThe Research- Driven Solution to Raise the Quality of High School Core Courses. Geometry. Course Outline
The Research- Driven Solution to Raise the Quality of High School Core Courses Course Outline Course Outline Page 2 of 5 0 1 2 3 4 5 ACT Course Standards A. Prerequisites 1. Skills Acquired by Students
More informationGeometry Pacing Guide Teacher Name Period
Geometry Pacing Guide 2016-2017 Teacher Name Period This Pacing Guide is a suggestion for you to use as a guide. Each class should progress at its own pace. Although there are a few quizzes listed in the
More informationU4 Polygon Notes January 11, 2017 Unit 4: Polygons
Unit 4: Polygons 180 Complimentary Opposite exterior Practice Makes Perfect! Example: Example: Practice Makes Perfect! Def: Midsegment of a triangle - a segment that connects the midpoints of two sides
More informationReady To Go On? Skills Intervention 9-1 Developing Formulas for Triangles and Quadrilaterals
9A Ready To Go On? Skills Intervention 9-1 Developing Formulas for Triangles and Quadrilaterals Finding Measurements of Parallelograms Find each measurement. A. the area of the parallelogram A b Use the
More informationCourse: Geometry Level: Regular Date: 11/2016. Unit 1: Foundations for Geometry 13 Days 7 Days. Unit 2: Geometric Reasoning 15 Days 8 Days
Geometry Curriculum Chambersburg Area School District Course Map Timeline 2016 Units *Note: unit numbers are for reference only and do not indicate the order in which concepts need to be taught Suggested
More informationThe Research- Driven Solution to Raise the Quality of High School Core Courses. Geometry. Instructional Units Plan
The Research- Driven Solution to Raise the Quality of High School Core Courses Instructional Units Plan Instructional Units Plan This set of plans presents the topics and selected for ACT s rigorous course.
More informationChapter 11 Areas of Polygons and Circles
Section 11-1: Areas of Parallelograms and Triangles SOL: G.14 The student will use similar geometric objects in two- or three-dimensions to a) compare ratios between side lengths, perimeters, areas, and
More informationGeometry/Trigonometry Unit 5: Polygon Notes Period:
Geometry/Trigonometry Unit 5: Polygon Notes Name: Date: Period: # (1) Page 270 271 #8 14 Even, #15 20, #27-32 (2) Page 276 1 10, #11 25 Odd (3) Page 276 277 #12 30 Even (4) Page 283 #1-14 All (5) Page
More information6.1: Date: Geometry. Polygon Number of Triangles Sum of Interior Angles
6.1: Date: Geometry Polygon Number of Triangles Sum of Interior Angles Triangle: # of sides: # of triangles: Quadrilateral: # of sides: # of triangles: Pentagon: # of sides: # of triangles: Hexagon: #
More informationUnit Lesson Plan: Measuring Length and Area: Area of shapes
Unit Lesson Plan: Measuring Length and Area: Area of shapes Day 1: Area of Square, Rectangles, and Parallelograms Day 2: Area of Triangles Trapezoids, Rhombuses, and Kites Day 3: Quiz over Area of those
More informationGeometry: Semester 2 Practice Final Unofficial Worked Out Solutions by Earl Whitney
Geometry: Semester 2 Practice Final Unofficial Worked Out Solutions by Earl Whitney 1. Wrapping a string around a trash can measures the circumference of the trash can. Assuming the trash can is circular,
More informationGeometry Advanced (Master) Content Skills Learning Targets Assessment Resources & Technology. A: The Tools of Geometry
St. Michael Albertville High School Teacher: Nick Steve Geometry Advanced (Master) September 2015 Content Skills Learning Targets Assessment Resources & Technology CEQ: What are the properties of the basic
More informationGeometry. AIR Study Guide
Geometry AIR Study Guide Table of Contents Topic Slide Formulas 3 5 Angles 6 Lines and Slope 7 Transformations 8 Constructions 9 10 Triangles 11 Congruency and Similarity 12 Right Triangles Only 13 Other
More informationCURRICULUM CATALOG. GSE Geometry ( ) GA
2018-19 CURRICULUM CATALOG Table of Contents COURSE OVERVIEW... 1 UNIT 1: TRANSFORMATIONS IN THE COORDINATE PLANE... 2 UNIT 2: SIMILARITY, CONGRUENCE, AND PROOFS PART 1... 2 UNIT 3: SIMILARITY, CONGRUENCE,
More informationPerimeter. Area. Surface Area. Volume. Circle (circumference) C = 2πr. Square. Rectangle. Triangle. Rectangle/Parallelogram A = bh
Perimeter Circle (circumference) C = 2πr Square P = 4s Rectangle P = 2b + 2h Area Circle A = πr Triangle A = bh Rectangle/Parallelogram A = bh Rhombus/Kite A = d d Trapezoid A = b + b h A area a apothem
More information4.0 independently go beyond the classroom to design a real-world connection with polygons that represents a situation in its context.
ANDERSON Lesson plans!!! Intro to Polygons 10.17.16 to 11.4.16 Level SCALE Intro to Polygons Evidence 4.0 independently go beyond the classroom to design a real-world connection with polygons that represents
More informationVocabulary. Term Page Definition Clarifying Example. apothem. center of a circle. center of a regular polygon. central angle of a regular polygon
CHAPTER 9 Vocabulary The table contains important vocabulary terms from Chapter 9. As you work through the chapter, fill in the page number, definition, and a clarifying example. apothem Term Page Definition
More informationGeometry. A1. Identify and Model points, lines, and planes. A2. Identify collinear and coplanar points, and intersecting lines and planes in space.
St. Mary's College High School Geometry Points, Lines, and Planes and Angles What notations represent different sets of points? Why are some important geometric terms left undefined? How is the distance
More informationGREE CASTLE A TRIM HIGH SCHOOL PLA ED COURSE Board Approved: March 2010
GREE CASTLE A TRIM HIGH SCHOOL PLA ED COURSE Board Approved: March 2010 COURSE TITLE: GEOMETRY GRADE LEVEL (S): 9, 10, 11 COURSE TEXT: GEOMETRY, HOLT/RINEHART/WINSTON, 1991 EDITION LIST OF TOPICS: REVIEW
More informationGeometry Foundations Pen Argyl Area High School 2018
Geometry emphasizes the development of logical thinking as it relates to geometric problems. Topics include using the correct language and notations of geometry, developing inductive and deductive reasoning,
More informationA VERTICAL LOOK AT KEY CONCEPTS AND PROCEDURES GEOMETRY
A VERTICAL LOOK AT KEY CONCEPTS AND PROCEDURES GEOMETRY Revised TEKS (2012): Building to Geometry Coordinate and Transformational Geometry A Vertical Look at Key Concepts and Procedures Derive and use
More informationIndex COPYRIGHTED MATERIAL. Symbols & Numerics
Symbols & Numerics. (dot) character, point representation, 37 symbol, perpendicular lines, 54 // (double forward slash) symbol, parallel lines, 54, 60 : (colon) character, ratio of quantity representation
More informationCurriculum Catalog
2017-2018 Curriculum Catalog 2017 Glynlyon, Inc. Table of Contents GEOMETRY COURSE OVERVIEW... 1 UNIT 1: INTRODUCTION... 1 UNIT 2: LOGIC... 2 UNIT 3: ANGLES AND PARALLELS... 2 UNIT 4: CONGRUENT TRIANGLES
More informationAssignment List. Chapter 1 Essentials of Geometry. Chapter 2 Reasoning and Proof. Chapter 3 Parallel and Perpendicular Lines
Geometry Assignment List Chapter 1 Essentials of Geometry 1.1 Identify Points, Lines, and Planes 5 #1, 4-38 even, 44-58 even 27 1.2 Use Segments and Congruence 12 #4-36 even, 37-45 all 26 1.3 Use Midpoint
More informationHigh School Geometry. Correlation of the ALEKS course High School Geometry to the ACT College Readiness Standards for Mathematics
High School Geometry Correlation of the ALEKS course High School Geometry to the ACT College Readiness Standards for Mathematics Standard 5 : Graphical Representations = ALEKS course topic that addresses
More informationChapter 6: Quadrilaterals. of a polygon is a segment that connects any two nonconsecutive. Triangle Quadrilateral Pentagon Hexagon
Lesson 6-1: Angles of Polygons A vertices. Example: Date: of a polygon is a segment that connects any two nonconsecutive Triangle Quadrilateral Pentagon Hexagon Since the sum of the angle measures of a
More informationGeometry Mathematics. Grade(s) 9th - 12th, Duration 1 Year, 1 Credit Required Course
Course Description will provide a careful development of both inductive and deductive reasoning. While emphasizing the formal geometric topics of points, lines, planes, congruency, similarity, and characteristics
More informationame Date Class Practice A 11. What is another name for a regular quadrilateral with four right angles?
ame Date Class Practice A Polygons Name each polygon. 1. 2. 3. 4. 5. 6. Tell whether each polygon appears to be regular or not regular. 7. 8. 9. 10. What is another name for a regular triangle? 11. What
More informationGeometry ~ Unit 4
Title Quadrilaterals and Coordinate Proof CISD Safety Net Standards: G.5A Big Ideas/Enduring Understandings Module 9 Properties of quadrilaterals can be used to solve real-world problems. Suggested Time
More informationGEOMETRY COORDINATE GEOMETRY Proofs
GEOMETRY COORDINATE GEOMETRY Proofs Name Period 1 Coordinate Proof Help Page Formulas Slope: Distance: To show segments are congruent: Use the distance formula to find the length of the sides and show
More information8.1 Find Angle Measures in Polygons
VOCABULARY 8.1 Find Angle Measures in Polygons DIAGONAL Review: EQUILATERAL EQUIANGULAR REGULAR CLASSIFYING POLYGONS Polygon Interior Angle Theorem: The sum of the measures of the interior angles of a
More informationUNIT 6: Connecting Algebra & Geometry through Coordinates
TASK: Vocabulary UNIT 6: Connecting Algebra & Geometry through Coordinates Learning Target: I can identify, define and sketch all the vocabulary for UNIT 6. Materials Needed: 4 pieces of white computer
More informationGeometry CP Pen Argyl Area High School 2018
Geometry emphasizes the development of logical thinking as it relates to geometric problems. Topics include using the correct language and notations of geometry, developing inductive and deductive reasoning,
More informationGeometry First Semester Practice Final (cont)
49. Determine the width of the river, AE, if A. 6.6 yards. 10 yards C. 12.8 yards D. 15 yards Geometry First Semester Practice Final (cont) 50. In the similar triangles shown below, what is the value of
More informationGeometry. Kites Families of Quadrilaterals Coordinate Proofs Proofs. Click on a topic to
Geometry Angles of Polygons Properties of Parallelograms Proving Quadrilaterals are Parallelograms Constructing Parallelograms Rhombi, Rectangles and Squares Kites Families of Quadrilaterals Coordinate
More informationPrentice Hall CME Project Geometry 2009
Prentice Hall CME Project Geometry 2009 Geometry C O R R E L A T E D T O from March 2009 Geometry G.1 Points, Lines, Angles and Planes G.1.1 Find the length of line segments in one- or two-dimensional
More informationMCPS Geometry Pacing Guide Jennifer Mcghee
Units to be covered 1 st Semester: Units to be covered 2 nd Semester: Tools of Geometry; Logic; Constructions; Parallel and Perpendicular Lines; Relationships within Triangles; Similarity of Triangles
More informationUnit 11 Area of Polygons and the Coordinate Plane
Unit 11 Area of Polygons and the Coordinate Plane Date Target Assignment Done! W 3-9 11.1a 11.1a Worksheet R 3-10 11.1b 11.1b Worksheet F 3-11 11.1c 11.1c Day 1 Worksheet M 3-14 11.1c 11.1c Day 2 Worksheet
More informationChapter 8. Quadrilaterals
Chapter 8 Quadrilaterals 8.1 Find Angle Measures in Polygons Objective: Find angle measures in polygons. Essential Question: How do you find a missing angle measure in a convex polygon? 1) Any convex polygon.
More informationThis image cannot currently be displayed. Course Catalog. Geometry Glynlyon, Inc.
This image cannot currently be displayed. Course Catalog Geometry 2016 Glynlyon, Inc. Table of Contents COURSE OVERVIEW... 1 UNIT 1: INTRODUCTION... 1 UNIT 2: LOGIC... 1 UNIT 3: ANGLES AND PARALLELS...
More informationMATH 113 Section 8.2: Two-Dimensional Figures
MATH 113 Section 8.2: Two-Dimensional Figures Prof. Jonathan Duncan Walla Walla University Winter Quarter, 2008 Outline 1 Classifying Two-Dimensional Shapes 2 Polygons Triangles Quadrilaterals 3 Other
More informationGeometry Year-Long. September 2014
St. Michael-Albertville High School Teacher: Nick Steve Geometry Year-Long September 2014 NOTE: The topics covered in Geometry and in Advanced Geometry are basically the same. However, the Advanced Geometry
More informationHonors Geometry. Worksheet 4.1: Quadrilaterals. Quadrilateral:. (definition) Parallelogram:. (definition)
Honors Geometry Name: Worksheet 4.1: Quadrilaterals Fill in the blanks using definitions and theorems about quadrilaterals. Quadrilateral:. The midquad of a quadrilateral is a. The sum of the measures
More information6.1 What is a Polygon?
6. What is a Polygon? Unit 6 Polygons and Quadrilaterals Regular polygon - Polygon Names: # sides Name 3 4 raw hexagon RPTOE 5 6 7 8 9 0 Name the vertices: Name the sides: Name the diagonals containing
More informationUnit 6 Polygons and Quadrilaterals
6.1 What is a Polygon? A closed plane figure formed by segments that intersect only at their endpoints Regular Polygon- a polygon that is both equiangular and equilateral Unit 6 Polygons and Quadrilaterals
More information0811ge. Geometry Regents Exam
0811ge 1 The statement "x is a multiple of 3, and x is an even integer" is true when x is equal to 9 8 3 6 2 In the diagram below,. 4 Pentagon PQRST has parallel to. After a translation of, which line
More informationCourse: Geometry PAP Prosper ISD Course Map Grade Level: Estimated Time Frame 6-7 Block Days. Unit Title
Unit Title Unit 1: Geometric Structure Estimated Time Frame 6-7 Block 1 st 9 weeks Description of What Students will Focus on on the terms and statements that are the basis for geometry. able to use terms
More informationUnit 10 Study Guide: Plane Figures
Unit 10 Study Guide: Plane Figures *Be sure to watch all videos within each lesson* You can find geometric shapes in art. Whether determining the amount of leading or the amount of glass needed for a piece
More informationCurriculum Catalog
2017-2018 Curriculum Catalog 2017 Glynlyon, Inc. Table of Contents GEOMETRY COURSE OVERVIEW...1 UNIT 1: INTRODUCTION... 1 UNIT 2: LOGIC... 1 UNIT 3: ANGLES AND PARALLELS... 2 UNIT 4: CONGRUENT TRIANGLES
More informationCommon Core Specifications for Geometry
1 Common Core Specifications for Geometry Examples of how to read the red references: Congruence (G-Co) 2-03 indicates this spec is implemented in Unit 3, Lesson 2. IDT_C indicates that this spec is implemented
More informationTest #1: Chapters 1, 2, 3 Test #2: Chapters 4, 7, 9 Test #3: Chapters 5, 6, 8 Test #4: Chapters 10, 11, 12
Progress Assessments When the standards in each grouping are taught completely the students should take the assessment. Each assessment should be given within 3 days of completing the assigned chapters.
More informationProblems #1. A convex pentagon has interior angles with measures (5x 12), (2x + 100), (4x + 16), (6x + 15), and (3x + 41). Find x.
1 Pre-AP Geometry Chapter 10 Test Review Standards/Goals: G.CO.11/ C.1.i.: I can use properties of special quadrilaterals in a proof. D.2.g.: I can identify and classify quadrilaterals, including parallelograms,
More information8 Quadrilaterals. Before
8 Quadrilaterals 8. Find Angle Measures in Polygons 8. Use Properties of Parallelograms 8.3 Show that a Quadrilateral is a Parallelogram 8.4 Properties of Rhombuses, Rectangles, and Squares 8.5 Use Properties
More informationGeometry Mathematics. Grade(s) 10th - 12th, Duration 1 Year, 1 Credit Required Course
Scope And Sequence Timeframe Unit Instructional Topics 9 Week(s) 9 Week(s) 9 Week(s) Geometric Structure Measurement Similarity Course Overview GENERAL DESCRIPTION: In this course the student will become
More informationGeometry GEOMETRY. Congruence
Geometry Geometry builds on Algebra I concepts and increases students knowledge of shapes and their properties through geometry-based applications, many of which are observable in aspects of everyday life.
More informationGeometry. Geometry. Domain Cluster Standard. Congruence (G CO)
Domain Cluster Standard 1. Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point, line, distance along a line, and distance
More informationSouth Carolina College- and Career-Ready (SCCCR) Geometry Overview
South Carolina College- and Career-Ready (SCCCR) Geometry Overview In South Carolina College- and Career-Ready (SCCCR) Geometry, students build on the conceptual knowledge and skills they mastered in previous
More informationLT 1.2 Linear Measure (*) LT 1.3 Distance and Midpoints (*) LT 1.4 Angle Measure (*) LT 1.5 Angle Relationships (*) LT 1.6 Two-Dimensional Figures (*)
PS1 Tools of Geometry: Students will be able to find distances between points and midpoints of line segments; identify angle relationships; and find perimeters, areas, surface areas and volumes. LT 1.1
More informationPrentice Hall Mathematics Geometry, Foundations Series 2011
Prentice Hall Mathematics Geometry, Foundations Series 2011 Geometry C O R R E L A T E D T O from March 2009 Geometry G.1 Points, Lines, Angles and Planes G.1.1 Find the length of line segments in one-
More informationModeling with Geometry
Modeling with Geometry 6.3 Parallelograms https://mathbitsnotebook.com/geometry/quadrilaterals/qdparallelograms.html Properties of Parallelograms Sides A parallelogram is a quadrilateral with both pairs
More information8. T(3, 4) and W(2, 7) 9. C(5, 10) and D(6, -1)
Name: Period: Chapter 1: Essentials of Geometry In exercises 6-7, find the midpoint between the two points. 6. T(3, 9) and W(15, 5) 7. C(1, 4) and D(3, 2) In exercises 8-9, find the distance between the
More informationA closed plane figure with at least 3 sides The sides intersect only at their endpoints. Polygon ABCDEF
A closed plane figure with at least 3 sides The sides intersect only at their endpoints B C A D F E Polygon ABCDEF The diagonals of a polygon are the segments that connects one vertex of a polygon to another
More informationPractice Test - Chapter 11. Find the area and perimeter of each figure. Round to the nearest tenth if necessary.
Find the area and perimeter of each figure. Round to the nearest tenth if necessary. 1. Use the Pythagorean Theorem to find the height h, of the parallelogram. 2. Use the Pythagorean Theorem to find the
More informationFLORIDA GEOMETRY EOC TOOLKIT
FLORIDA GEOMETRY EOC TOOLKIT CORRELATION Correlated to the Geometry End-of-Course Benchmarks For more information, go to etacuisenaire.com\florida 78228IS ISBN 978-0-7406-9565-0 MA.912.D.6.2 Find the converse,
More informationPerimeter and Area. Slide 1 / 183. Slide 2 / 183. Slide 3 / 183. Table of Contents. New Jersey Center for Teaching and Learning
New Jersey Center for Teaching and Learning Slide 1 / 183 Progressive Mathematics Initiative This material is made freely available at www.njctl.org and is intended for the non-commercial use of students
More informationGeometry SOL Study Sheet. 1. Slope: ! y 1 x 2. m = y 2. ! x Midpoint: + x y 2 2. midpoint = ( x 1. , y Distance: (x 2 ) 2
Geometry SOL Study Sheet 1. Slope: 2. Midpoint: 3. Distance: m = y 2! y 1 x 2! x 1 midpoint = ( x 1 + x 2 2, y 1 + y 2 2 ) d = (x 2! x 1 ) 2 + (y 2! y 1 ) 2 4. Sum of Interior Angles (Convex Polygons):
More informationExamples: Identify the following as equilateral, equiangular or regular. Using Variables: S = 180(n 2)
Ch. 6 Notes 6.1: Polygon Angle-Sum Theorems Examples: Identify the following as equilateral, equiangular or regular. 1) 2) 3) S = 180(n 2) Using Variables: and Examples: Find the sum of the interior angles
More information104, 107, 108, 109, 114, 119, , 129, 139, 141, , , , , 180, , , 128 Ch Ch1-36
111.41. Geometry, Adopted 2012 (One Credit). (c) Knowledge and skills. Student Text Practice Book Teacher Resource: Activities and Projects (1) Mathematical process standards. The student uses mathematical
More informationStudent Name: Teacher: Date: Miami-Dade County Public Schools. Test: 9_12 Mathematics Geometry Exam 2
Student Name: Teacher: Date: District: Miami-Dade County Public Schools Test: 9_12 Mathematics Geometry Exam 2 Description: GEO Topic 5: Quadrilaterals and Coordinate Geometry Form: 201 1. If the quadrilateral
More informationA. Use coordinate geometry to investigate basic geometric terms. B. Understand and apply the components of a deductive structure.
Division: Special Education Course Number: MTH2N1/MTH2N2 Course Title: Instructional Geometry Course Description: This course integrates the basic principles of geometry and algebra. This sequence is for
More informationAnswer Key. 1.1 The Three Dimensions. Chapter 1 Basics of Geometry. CK-12 Geometry Honors Concepts 1. Answers
1.1 The Three Dimensions 1. Possible answer: You need only one number to describe the location of a point on a line. You need two numbers to describe the location of a point on a plane. 2. vary. Possible
More informationPolygons. Name each polygon Find the sum of the angle measures in each figure
Practice A Polygons Name each polygon. 1. 2. 3. Find the sum of the angle measures in each figure. 4. 5. 6. 7. 8. 9. Find the angle measures in each regular polygon. 10. 11. 12. 13. 14. 15. Give all the
More informationCarnegie Learning High School Math Series: Geometry Indiana Standards Worktext Correlations
Carnegie Learning High School Math Series: Logic and Proofs G.LP.1 Understand and describe the structure of and relationships within an axiomatic system (undefined terms, definitions, axioms and postulates,
More informationACCRS/QUALITY CORE CORRELATION DOCUMENT: GEOMETRY
ACCRS/QUALITY CORE CORRELATION DOCUMENT: GEOMETRY 2010 ACOS GEOMETRY QUALITYCORE COURSE STANDARD Experiment with transformations in the plane. 1. [G-CO1] Know precise definitions of angle, circle, perpendicular
More informationHS Geometry Mathematics CC
Course Description This course involves the integration of logical reasoning and spatial visualization skills. It includes a study of deductive proofs and applications from Algebra, an intense study of
More informationMath 3 - Lesson Title: Using the Coordinate Plane for Proofs
Targeted Content Standard(s): Use coordinates to prove simple geometric theorems algebraically. G.GPE.4 Use coordinates to prove simple geometric theorems algebraically. For example, prove or disprove
More informationT103 Final Review Sheet. Central Angles. Inductive Proof. Transversal. Rectangle
T103 Final Review Sheet Know the following definitions and their notations: Point Hexa- Space Hepta- Line Octa- Plane Nona- Collinear Deca- Coplanar Dodeca- Intersect Icosa- Point of Intersection Interior
More informationGeometry/Pre AP Geometry Common Core Standards
1st Nine Weeks Transformations Transformations *Rotations *Dilation (of figures and lines) *Translation *Flip G.CO.1 Experiment with transformations in the plane. Know precise definitions of angle, circle,
More informationSaint Patrick High School
Saint Patrick High School Curriculum Guide Department : Mathematics Grade and Level: Sophomore CP Class: Geometry Term (Semester or Year): Year Required Text: Additional Resources (i.e. texts, materials,
More informationGeometry. (F) analyze mathematical relationships to connect and communicate mathematical ideas; and
(1) Mathematical process standards. The student uses mathematical processes to acquire and demonstrate mathematical understanding. The student is (A) apply mathematics to problems arising in everyday life,
More information7-3 Parallel and Perpendicular Lines
7-3 Parallel and Perpendicular Lines Interior Angles: Exterior Angles: Corresponding Angles: Vertical Angles: Supplementary Angles: 1 2 3 4 5 6 7 8 Complimentary Angles: 7-3 Parallel and Perpendicular
More information