GEOMETRY CONCEPT MAP. Suggested Sequence:

Save this PDF as:

Size: px
Start display at page:

Transcription

1 CONCEPT MAP GEOMETRY August 2011 Suggested Sequence: 1. Tools of Geometry 2. Reasoning and Proof 3. Parallel and Perpendicular Lines 4. Congruent Triangles 5. Relationships Within Triangles 6. Polygons and Quadrilaterals 7. Similarity 8. Right Triangles and Trigonometry 9. Transformations 10. Area 11. Surface Area and Volume 12. Circles

2 GEOMETRY Prioritized Curriculum CSOs Essential Important Need to Know M.O.G.3.1 M.O.G.3.2 M.O.G.3.3 M.O.G.3.4 M.O.G.3.5 M.O.G.3.6 M.O.G.3.7 M.O.G.3.8 M.O.G.3.9 M.O.G.3.10 M.O.G.3.11 M.O.G.3.12 M.O.G.3.13 M.O.G.3.14 M.O.G.3.15 M.O.G.3.16 M.O.G.3.17 M.O.G.3.18 M.O.G.3.19 M.O.G.3.20 M.O.G.3.21

3 Tools of Geometry Nets and Drawings for Visualizing Geometry Points, Lines, and Planes Measuring Segments Measuring Angles Exploring Angle Pairs Basic Constructions Midpoint and Distance in the Coordinate Plane Perimeter, Circumference, and Area CSOs: G.3.1, G.3.8, G.3.17, G.3.21 Estimated days to complete: 8 Students will be introduced to various topics in the study of geometry. How can you represent a three-dimensional figure with a two-dimensional drawing? What are the building blocks of geometry? How can you describe the attributes of a segment or angle? Acute, right, obtuse, straight angles Adjacent angles Angle bisector Collinear points, coplanar points Complementary and supplementary angles Congruent angles Congruent segments Constructions Linear pair Measure of an angle Net Perpendicular bisector Perpendicular lines Point, line, plane Postulate, axiom Ray, opposite rays Segment Segment bisector Vertex of an angle Vertical angles

4 Reasoning and Proof Patterns and Inductive Reasoning Conditional Statements Biconditionals and Definitions Deductive Reasoning Reasoning in Algebra and Geometry Proving Angles Congruent CSOs: G.3.2, G.3.3, G.3.4, G.3.5, G.3.7 Estimated days to complete: 5 Students will be introduced to topics related to reasoning including deductive and inductive reasoning. How can you make a conjecture and prove that it is true? Biconditional Conclusion Conditional Conjecture Contrapositive Converse Counterexample Deductive reasoning Equivalent statements Hypothesis Inductive reasoning Inverse Law of detachment Law of syllogism Negation Paragraph proof Proof Theorem Truth value Two-column proof

5 Lines and Angles Properties of Parallel Lines Proving Lines Parallel Parallel and Perpendicular Lines Parallel Lines and Triangles Constructing Parallel and Perpendicular Lines Equations of Lines in the Coordinate Plane Slopes of Parallel and Perpendicular Parallel and Perpendicular Lines CSOs: G.3.1, G.3.4, G.3.5, G.3.6, G.3.14, G.3.19, G.3.20 Estimated days to complete: 8 Students will expand upon their understanding of skills related to parallel and perpendicular lines. How do you prove that two lines are parallel or perpendicular? What is the sum of the measures of the angles of a triangle? How do you write an equation of a line in the coordinate plane? Alternate exterior angles Alternate interior angles Auxiliary line Corresponding angles Exterior angle of a polygon Flow proof Parallel lines Parallel planes Point-slope form Remote interior angles Same-side interior angles Skew lines Slope Slope-intercept form Transversal

6 Congruent Triangles Congruent Figures Triangle Congruence by SSS and SAS Triangle Congruence by ASA and AAS Using Corresponding Parts of Congruent Triangles Isosceles and Equilateral Triangles Congruence in Right Triangles Congruence in Overlapping Triangles CSOs: G.3.5, G.3.7 Estimated days to complete: 7 Students will build upon their understanding and skills related to angles and triangles. How do you identify corresponding parts of congruent triangles? How do you show that two triangles are congruent? How can you tell whether a triangle is isosceles or equilateral? Base angles of an isosceles triangle Base of an isosceles triangle Congruent polygons Corollary Hypotenuse Legs of an isosceles triangle Legs of a right triangle Vertex angles of an isosceles triangle

7 Midsegments of Triangles Perpendicular and Angle Bisectors Bisectors in Triangles Medians and Altitudes Indirect Proof Inequalities in One Triangle Inequalities in Two Triangles Relationships Within Triangles CSOs: G.3.5, G.3.10, G.3.18 Estimated days to complete: 6 Students will identify the unique properties of triangles. How do you use coordinate geometry to find relationships within triangles? How do you solve problems that involve measurements of triangles? How do you write indirect proofs? Altitude of a triangle Centroid of a triangle Circumcenter of a triangle Circumscribed about Concurrent Distance from a point to a line Equidistant Incenter of a triangle Indirect proof Indirect reasoning Inscribed Median of a triangle Midsegment of a triangle Orthocenter of a triangle Point of concurrency

8 Polygons and Quadrilaterals The Polygon Angle-Sum Theorem Properties of Parallelogram Proving that a Quadrilateral is a Parallelogram Properties of Rhombuses, Rectangles, and Squares Conditions for Rhombuses, Rectangles, and Squares Trapezoids and Kites Polygons in the Coordinate Plane Applying Coordinate Geometry Proofs Using Coordinate Geometry CSOs: G.3.4, G.3.5, G.3.8, G.3.14, G.3.17 Estimated days to complete: 8 Students will identify the unique properties of triangles. How do you use coordinate geometry to find relationships within triangles? How do you solve problems that involve measurements of triangles? How do you write indirect proofs? Base, base angle, and leg of a trapezoid Consecutive angles Coordinate proof Equiangular, equilateral polygon Isosceles trapezoid Kits Midsegment of a trapezoid Opposite angles Opposite sides Parallelogram Rectangle Regular polygon Rhombus Square trapezoid

9 Similarity Ratios and Proportions Similar Polygons Proving Triangles Similar Similarity in Right Triangles Proportions in Triangles CSOs: G.3.4, G.3.5, G.3.9, G.3.11, G.3.19 Estimated days to complete: 5 Students will expand upon their understanding and skills related to similarity. How do you use proportions to find side lengths in similar polygons? How do you show two triangles are similar? How do you identify corresponding parts of similar triangles? Extended proportion Extended ratio Extremes Geometric mean Indirect measurement Means Proportion Ratio Scale drawings Scale factor Similar figures Similar polygons

10 The Pythagorean Theorem and its Converse Special Right Triangles Trigonometry Angles of Elevation and Depression Vectors Right Triangles and Trigonometry CSOs: G.3.11, G.3.12 Estimated days to complete: 6 Students will explore concepts related to right triangles, including trigonometry. How do you find a side length or angle measure in a right triangle? How do trigonometric ratios relate to similar right triangles? What is a vector? Angle of depression Angle of elevation Cosine Initial point Magnitude Pythagorean triple Resultant Sine Tangent Terminal point Trigonometric ratios Vector

11 Translations Reflections Rotations Symmetry Dilations Compositions of Reflections Tessellations Transformations CSOs: G.3.15, G.3.19 Estimated days to complete: 6 Students will explore the concepts related to transformations. How can you change a figure s position without changing its size and shape? How can you change a figure s size without changing its shape? How can you represent a transformation in the coordinate plane? How do you recognize symmetry in a figure? Center of a regular polygon Composition of transformations Dilation Glide reflection Glide reflectional symmetry Image Isometry Line symmetry Preimage Reflection Rotation Rotational symmetry Tessellation Transformation Translation Translational symmetry

12 Area Areas of Parallelograms and Triangles Areas of Trapezoids, Rhombuses, and Kites Areas of Regular Polygons Perimeters and Areas of Similar Figures Trigonometry and Area Circles and Arcs Areas of Circles and Sectors Geometric Probability CSOs: G.3.8, G.3.9, G.3.11, G.3.13 Estimated days to complete: 7 Students will identify the unique properties of triangles. How do you find the area of a polygon or find the circumference and area of a circle? How do perimeters and areas of similar polygons compare? Adjacent arcs Altitude Apothem Arc length Base Central angle Circle Circumference Concentric circles Congruent arcs Congruent circles Diameter Geometric probability Height Major arc Minor arc Radius Sector of a circle Segment of a circle semicircle

13 Surface Area and Volume Space Figures and Cross Sections Surface Areas of Prisms and Cylinders Surface Areas of Pyramids and Cones Volumes of Prisms and Cylinders Volumes of Pyramids and Cones Surface Areas and Volumes of Spheres Areas and Volumes of Similar Solids CSOs: G.3.9, G.3.16 Estimated days to complete: 8 Students will find surface areas and volumes of solid figures. How can you determine the intersection of a solid and a plane? How do you find the surface area and volume of a solid? How do the surface areas and volumes of similar solids compare? Altitude Center of a sphere Cone Cross section Cylinder Edge Face great circle Hemisphere Lateral area Lateral face Polyhedron Prism Pyramid Right cone Right cylinder Right prism Slant height Sphere Surface area volume

14 Circles Tangent Lines Chords and Arcs Inscribed Angles Angle Measures and Segment Lengths Circles in the Coordinate Plane Locus: A Set of Points CSOs: G.3.13 Estimated days to complete: 5 Students will explore concepts related to circles. How can you prove relationships between angles and arcs in a circle? When lines intersect a circle, or within a circle, how do you find the measures of resulting angles, arcs, and segments? How do you find the equation of a circle in the coordinate plane? Chord Inscribed angle Intercepted arc Locus Point of tangency Secant Standard form of an equation of a circle Tangent to a circle

Chapter 1: Essentials of Geometry

Section Section Title 1.1 Identify Points, Lines, and Planes 1.2 Use Segments and Congruence 1.3 Use Midpoint and Distance Formulas Chapter 1: Essentials of Geometry Learning Targets I Can 1. Identify,

Geometry Chapter 1 Vocabulary. coordinate - The real number that corresponds to a point on a line.

Chapter 1 Vocabulary coordinate - The real number that corresponds to a point on a line. point - Has no dimension. It is usually represented by a small dot. bisect - To divide into two congruent parts.

Geometry Course Summary Department: Math. Semester 1

Geometry Course Summary Department: Math Semester 1 Learning Objective #1 Geometry Basics Targets to Meet Learning Objective #1 Use inductive reasoning to make conclusions about mathematical patterns Give

Week 1 Chapter 1: Fundamentals of Geometry. Week 2 Chapter 1: Fundamentals of Geometry. Week 3 Chapter 1: Fundamentals of Geometry Chapter 1 Test

Thinkwell s Homeschool Geometry Course Lesson Plan: 34 weeks Welcome to Thinkwell s Homeschool Geometry! We re thrilled that you ve decided to make us part of your homeschool curriculum. This lesson plan

Geometry Essential Curriculum

Geometry Essential Curriculum Unit I: Fundamental Concepts and Patterns in Geometry Goal: The student will demonstrate the ability to use the fundamental concepts of geometry including the definitions

Conjectures for Geometry for Math 70 By I. L. Tse

Conjectures for Geometry for Math 70 By I. L. Tse Chapter Conjectures 1. Linear Pair Conjecture: If two angles form a linear pair, then the measure of the angles add up to 180. Vertical Angle Conjecture:

Conjectures. Chapter 2. Chapter 3

Conjectures Chapter 2 C-1 Linear Pair Conjecture If two angles form a linear pair, then the measures of the angles add up to 180. (Lesson 2.5) C-2 Vertical Angles Conjecture If two angles are vertical

# 30-60 right triangle, 441-442, 684 A Absolute value, 59 Acute angle, 77, 669 Acute triangle, 178 Addition Property of Equality, 86 Addition Property of Inequality, 258 Adjacent angle, 109, 669 Adjacent

Content Area: GEOMETRY Grade 9 th Quarter 1 st Curso Serie Unidade

Content Area: GEOMETRY Grade 9 th Quarter 1 st Curso Serie Unidade Standards/Content Padrões / Conteúdo Learning Objectives Objetivos de Aprendizado Vocabulary Vocabulário Assessments Avaliações Resources

COURSE OVERVIEW The geometry course is centered on the beliefs that The ability to construct a valid argument is the basis of logical communication, in both mathematics and the real-world. There is a need

CONJECTURES - Discovering Geometry. Chapter 2

CONJECTURES - Discovering Geometry Chapter C-1 Linear Pair Conjecture - If two angles form a linear pair, then the measures of the angles add up to 180. C- Vertical Angles Conjecture - If two angles are

Topics Covered on Geometry Placement Exam

Topics Covered on Geometry Placement Exam - Use segments and congruence - Use midpoint and distance formulas - Measure and classify angles - Describe angle pair relationships - Use parallel lines and transversals

Definitions, Postulates and Theorems

Definitions, s and s Name: Definitions Complementary Angles Two angles whose measures have a sum of 90 o Supplementary Angles Two angles whose measures have a sum of 180 o A statement that can be proven

Centroid: The point of intersection of the three medians of a triangle. Centroid

Vocabulary Words Acute Triangles: A triangle with all acute angles. Examples 80 50 50 Angle: A figure formed by two noncollinear rays that have a common endpoint and are not opposite rays. Angle Bisector:

BASIC GEOMETRY GLOSSARY

BASIC GEOMETRY GLOSSARY Acute angle An angle that measures between 0 and 90. Examples: Acute triangle A triangle in which each angle is an acute angle. Adjacent angles Two angles next to each other that

CRLS Mathematics Department Geometry Curriculum Map/Pacing Guide. CRLS Mathematics Department Geometry Curriculum Map/Pacing Guide

Curriculum Map/Pacing Guide page of 6 2 77.5 Unit : Tools of 5 9 Totals Always Include 2 blocks for Review & Test Activity binder, District Google How do you find length, area? 2 What are the basic tools

Curriculum Map by Block Geometry Mapping for Math Block Testing 2007-2008. August 20 to August 24 Review concepts from previous grades.

Curriculum Map by Geometry Mapping for Math Testing 2007-2008 Pre- s 1 August 20 to August 24 Review concepts from previous grades. August 27 to September 28 (Assessment to be completed by September 28)

of one triangle are congruent to the corresponding parts of the other triangle, the two triangles are congruent.

2901 Clint Moore Road #319, Boca Raton, FL 33496 Office: (561) 459-2058 Mobile: (949) 510-8153 Email: HappyFunMathTutor@gmail.com www.happyfunmathtutor.com GEOMETRY THEORUMS AND POSTULATES GEOMETRY POSTULATES:

55 questions (multiple choice, check all that apply, and fill in the blank) The exam is worth 220 points.

Geometry Core Semester 1 Semester Exam Preparation Look back at the unit quizzes and diagnostics. Use the unit quizzes and diagnostics to determine which topics you need to review most carefully. The unit

Middle Grades Mathematics 5 9 Section 25 1 Knowledge of mathematics through problem solving 1. Identify appropriate mathematical problems from real-world situations. 2. Apply problem-solving strategies

Geometry Credit Recovery

Geometry Credit Recovery COURSE DESCRIPTION: This is a comprehensive course featuring geometric terms and processes, logic, and problem solving. Topics include parallel line and planes, congruent triangles,

2, 3 1, 3 3, 2 3, 2. 3 Exploring Geometry Construction: Copy &: Bisect Segments & Angles Measure & Classify Angles, Describe Angle Pair Relationship

Geometry Honors Semester McDougal 014-015 Day Concepts Lesson Benchmark(s) Complexity Level 1 Identify Points, Lines, & Planes 1-1 MAFS.91.G-CO.1.1 1 Use Segments & Congruence, Use Midpoint & 1-/1- MAFS.91.G-CO.1.1,

Conjunction is true when both parts of the statement are true. (p is true, q is true. p^q is true)

Mathematical Sentence - a sentence that states a fact or complete idea Open sentence contains a variable Closed sentence can be judged either true or false Truth value true/false Negation not (~) * Statement

Chapters 6 and 7 Notes: Circles, Locus and Concurrence

Chapters 6 and 7 Notes: Circles, Locus and Concurrence IMPORTANT TERMS AND DEFINITIONS A circle is the set of all points in a plane that are at a fixed distance from a given point known as the center of

1. A person has 78 feet of fencing to make a rectangular garden. What dimensions will use all the fencing with the greatest area?

1. A person has 78 feet of fencing to make a rectangular garden. What dimensions will use all the fencing with the greatest area? (a) 20 ft x 19 ft (b) 21 ft x 18 ft (c) 22 ft x 17 ft 2. Which conditional

Geometry Enduring Understandings Students will understand 1. that all circles are similar.

High School - Circles Essential Questions: 1. Why are geometry and geometric figures relevant and important? 2. How can geometric ideas be communicated using a variety of representations? ******(i.e maps,

Su.a Supported: Identify Determine if polygons. polygons with all sides have all sides and. and angles equal angles equal (regular)

MA.912.G.2 Geometry: Standard 2: Polygons - Students identify and describe polygons (triangles, quadrilaterals, pentagons, hexagons, etc.), using terms such as regular, convex, and concave. They find measures

Overview Mathematical Practices Congruence

Overview Mathematical Practices Congruence 1. Make sense of problems and persevere in Experiment with transformations in the plane. solving them. Understand congruence in terms of rigid motions. 2. Reason

PUBLIC SCHOOLS OF EDISON TOWNSHIP OFFICE OF CURRICULUM AND INSTRUCTION GEOMETRY HONORS. Middle School and High School

PUBLIC SCHOOLS OF EDISON TOWNSHIP OFFICE OF CURRICULUM AND INSTRUCTION GEOMETRY HONORS Length of Course: Elective/Required: Schools: Term Required Middle School and High School Eligibility: Grades 8-12

Chapter 6 Notes: Circles

Chapter 6 Notes: Circles IMPORTANT TERMS AND DEFINITIONS A circle is the set of all points in a plane that are at a fixed distance from a given point known as the center of the circle. Any line segment

Blue Springs School District Geometry - Syllabus 1 Credit Hour

Teacher: Mr. Jakob Estep Plan: 2 nd Hour (8:20-9:10) School Phone Number: (816) 224-1315 Email: jestep@bssd.net Blue Springs School District Geometry - Syllabus 1 Credit Hour 2014-2015 Textbook: Course

GEOMETRY 101* EVERYTHING YOU NEED TO KNOW ABOUT GEOMETRY TO PASS THE GHSGT!

GEOMETRY 101* EVERYTHING YOU NEED TO KNOW ABOUT GEOMETRY TO PASS THE GHSGT! FINDING THE DISTANCE BETWEEN TWO POINTS DISTANCE FORMULA- (x₂-x₁)²+(y₂-y₁)² Find the distance between the points ( -3,2) and

ABC is the triangle with vertices at points A, B and C

Euclidean Geometry Review This is a brief review of Plane Euclidean Geometry - symbols, definitions, and theorems. Part I: The following are symbols commonly used in geometry: AB is the segment from the

New York State Student Learning Objective: Regents Geometry

New York State Student Learning Objective: Regents Geometry All SLOs MUST include the following basic components: Population These are the students assigned to the course section(s) in this SLO all students

Glossary. 134 GLOSSARY Discovering Geometry Teaching and Worksheet Masters 2003 Key Curriculum Press

Glossary acute angle An angle whose measure is less than 90. (Lesson 1.3) acute triangle A triangle with three acute angles. (Lesson 1.5) adjacent angles Two non-overlapping angles with a common vertex

Coordinate Coplanar Distance Formula Midpoint Formula

G.(2) Coordinate and transformational geometry. The student uses the process skills to understand the connections between algebra and geometry and uses the oneand two-dimensional coordinate systems to

Geometry. Higher Mathematics Courses 69. Geometry

The fundamental purpose of the course is to formalize and extend students geometric experiences from the middle grades. This course includes standards from the conceptual categories of and Statistics and

Name Geometry Exam Review #1: Constructions and Vocab

Name Geometry Exam Review #1: Constructions and Vocab Copy an angle: 1. Place your compass on A, make any arc. Label the intersections of the arc and the sides of the angle B and C. 2. Compass on A, make

Geometry: Euclidean. Through a given external point there is at most one line parallel to a

Geometry: Euclidean MATH 3120, Spring 2016 The proofs of theorems below can be proven using the SMSG postulates and the neutral geometry theorems provided in the previous section. In the SMSG axiom list,

56 questions (multiple choice, check all that apply, and fill in the blank) The exam is worth 224 points.

6.1.1 Review: Semester Review Study Sheet Geometry Core Sem 2 (S2495808) Semester Exam Preparation Look back at the unit quizzes and diagnostics. Use the unit quizzes and diagnostics to determine which

Angles that are between parallel lines, but on opposite sides of a transversal.

GLOSSARY Appendix A Appendix A: Glossary Acute Angle An angle that measures less than 90. Acute Triangle Alternate Angles A triangle that has three acute angles. Angles that are between parallel lines,

Florida Geometry EOC Assessment Study Guide

Florida Geometry EOC Assessment Study Guide The Florida Geometry End of Course Assessment is computer-based. During testing students will have access to the Algebra I/Geometry EOC Assessments Reference

GEOMETRY COMMON CORE STANDARDS

1st Nine Weeks Experiment with transformations in the plane G-CO.1 Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point,

Chapters 4 and 5 Notes: Quadrilaterals and Similar Triangles

Chapters 4 and 5 Notes: Quadrilaterals and Similar Triangles IMPORTANT TERMS AND DEFINITIONS parallelogram rectangle square rhombus A quadrilateral is a polygon that has four sides. A parallelogram is

abscissa The horizontal or x-coordinate of a two-dimensional coordinate system.

NYS Mathematics Glossary* Geometry (*This glossary has been amended from the full SED ommencement Level Glossary of Mathematical Terms (available at http://www.emsc.nysed.gov/ciai/mst/math/glossary/home.html)

Geometry Math Standards and I Can Statements

Geometry Math Standards and I Can Statements Unit 1 Subsection A CC.9-12.G.CO.1 Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions

#2. Isosceles Triangle Theorem says that If a triangle is isosceles, then its BASE ANGLES are congruent.

1 Geometry Proofs Reference Sheet Here are some of the properties that we might use in our proofs today: #1. Definition of Isosceles Triangle says that If a triangle is isosceles then TWO or more sides

alternate interior angles

alternate interior angles two non-adjacent angles that lie on the opposite sides of a transversal between two lines that the transversal intersects (a description of the location of the angles); alternate

Geometry: A Common Core Program

1 Tools of Geometry This chapter begins by addressing the building blocks of geometry which are the point, the line, and the plane. Students will construct line segments, midpoints, bisectors, angles,

After your registration is complete and your proctor has been approved, you may take the Credit by Examination for GEOM 1B.

GEOM 1B Geometry I, Second Semester #PR-109, BK-1030 (v.3.0) To the Student: After your registration is complete and your proctor has been approved, you may take the Credit by Examination for GEOM 1B.

DEFINITIONS. Perpendicular Two lines are called perpendicular if they form a right angle.

DEFINITIONS Degree A degree is the 1 th part of a straight angle. 180 Right Angle A 90 angle is called a right angle. Perpendicular Two lines are called perpendicular if they form a right angle. Congruent

A COURSE OUTLINE FOR GEOMETRY DEVELOPED BY ANN SHANNON & ASSOCIATES FOR THE BILL & MELINDA GATES FOUNDATION

A COURSE OUTLINE FOR GEOMETRY DEVELOPED BY ANN SHANNON & ASSOCIATES FOR THE BILL & MELINDA GATES FOUNDATION JANUARY 2014 Geometry Course Outline Content Area G0 Introduction and Construction G-CO Congruence

Algebra Geometry Glossary. 90 angle

lgebra Geometry Glossary 1) acute angle an angle less than 90 acute angle 90 angle 2) acute triangle a triangle where all angles are less than 90 3) adjacent angles angles that share a common leg Example:

GEOMETRY FINAL EXAM REVIEW

GEOMETRY FINL EXM REVIEW I. MTHING reflexive. a(b + c) = ab + ac transitive. If a = b & b = c, then a = c. symmetric. If lies between and, then + =. substitution. If a = b, then b = a. distributive E.

Unit 3: Triangle Bisectors and Quadrilaterals

Unit 3: Triangle Bisectors and Quadrilaterals Unit Objectives Identify triangle bisectors Compare measurements of a triangle Utilize the triangle inequality theorem Classify Polygons Apply the properties

Geometry Texas Mathematics: Unpacked Content

Geometry Texas Mathematics: Unpacked Content What is the purpose of this document? To increase student achievement by ensuring educators understand specifically what the new standards mean a student must

Framework for developing schemes of work for the geometry curriculum for ages 14-16

Framework for developing schemes of work for the geometry curriculum for ages 14-16 CURRICULUM GRADES G - F GRADES E - D GRADES C - B GRADES A A* INVESTIGATION CONTEXT Distinguish Know and use angle, Construct

Final Review Geometry A Fall Semester

Final Review Geometry Fall Semester Multiple Response Identify one or more choices that best complete the statement or answer the question. 1. Which graph shows a triangle and its reflection image over

(a) 5 square units. (b) 12 square units. (c) 5 3 square units. 3 square units. (d) 6. (e) 16 square units

1. Find the area of parallelogram ACD shown below if the measures of segments A, C, and DE are 6 units, 2 units, and 1 unit respectively and AED is a right angle. (a) 5 square units (b) 12 square units

of surface, 569-571, 576-577, 578-581 of triangle, 548 Associative Property of addition, 12, 331 of multiplication, 18, 433

Absolute Value and arithmetic, 730-733 defined, 730 Acute angle, 477 Acute triangle, 497 Addend, 12 Addition associative property of, (see Commutative Property) carrying in, 11, 92 commutative property

1. A student followed the given steps below to complete a construction. Which type of construction is best represented by the steps given above?

1. A student followed the given steps below to complete a construction. Step 1: Place the compass on one endpoint of the line segment. Step 2: Extend the compass from the chosen endpoint so that the width

0810ge. Geometry Regents Exam 0810

0810ge 1 In the diagram below, ABC XYZ. 3 In the diagram below, the vertices of DEF are the midpoints of the sides of equilateral triangle ABC, and the perimeter of ABC is 36 cm. Which two statements identify

Geometry: Unit 1 Vocabulary TERM DEFINITION GEOMETRIC FIGURE. Cannot be defined by using other figures.

Geometry: Unit 1 Vocabulary 1.1 Undefined terms Cannot be defined by using other figures. Point A specific location. It has no dimension and is represented by a dot. Line Plane A connected straight path.

HIGH SCHOOL: GEOMETRY (Page 1 of 4)

HIGH SCHOOL: GEOMETRY (Page 1 of 4) Geometry is a complete college preparatory course of plane and solid geometry. It is recommended that there be a strand of algebra review woven throughout the course

Algebra 1 EOC Appendix D MATHEMATICS GLOSSARY ALGEBRA 1 EOC AND GEOMETRY EOC

Algebra 1 EOC Appendix D MATHEMATICS GLOSSARY ALGEBRA 1 EOC AND GEOMETRY EOC The terms defined in this glossary pertain to the NGSSS in mathematics for EOC assessments in Algebra 1 and Geometry. Included

Geometry College Prep C CURRICULUM GUIDE

Geometry College Prep C CURRICULUM GUIDE Number: 313 Level: College Prep C Revised: August, 2012 Textbook: GEOMETRY CONCEPTS AND SKILLS, McDougal Littell, 2003 Credits: 5 Credits Midterm Exam Revised:

Teacher Annotated Edition Study Notebook

Teacher Annotated Edition Study Notebook Copyright by The McGraw-Hill Companies, Inc. All rights reserved. Except as permitted under the United States Copyright Act, no part of this publication may be

LEVEL G, SKILL 1. Answers Be sure to show all work.. Leave answers in terms of ϖ where applicable.

Name LEVEL G, SKILL 1 Class Be sure to show all work.. Leave answers in terms of ϖ where applicable. 1. What is the area of a triangle with a base of 4 cm and a height of 6 cm? 2. What is the sum of the

3. Lengths and areas associated with the circle including such questions as: (i) What happens to the circumference if the radius length is doubled?

1.06 Circle Connections Plan The first two pages of this document show a suggested sequence of teaching to emphasise the connections between synthetic geometry, co-ordinate geometry (which connects algebra

Solutions to Practice Problems

Higher Geometry Final Exam Tues Dec 11, 5-7:30 pm Practice Problems (1) Know the following definitions, statements of theorems, properties from the notes: congruent, triangle, quadrilateral, isosceles

Geometry, Final Review Packet

Name: Geometry, Final Review Packet I. Vocabulary match each word on the left to its definition on the right. Word Letter Definition Acute angle A. Meeting at a point Angle bisector B. An angle with a

Geometry. Unit 6. Quadrilaterals. Unit 6

Geometry Quadrilaterals Properties of Polygons Formed by three or more consecutive segments. The segments form the sides of the polygon. Each side intersects two other sides at its endpoints. The intersections

Geometry Final Exam Review Worksheet

Geometry Final xam Review Worksheet (1) Find the area of an equilateral triangle if each side is 8. (2) Given the figure to the right, is tangent at, sides as marked, find the values of x, y, and z please.

4.1 Euclidean Parallelism, Existence of Rectangles

Chapter 4 Euclidean Geometry Based on previous 15 axioms, The parallel postulate for Euclidean geometry is added in this chapter. 4.1 Euclidean Parallelism, Existence of Rectangles Definition 4.1 Two distinct

Geometry Regents Review

Name: Class: Date: Geometry Regents Review Multiple Choice Identify the choice that best completes the statement or answers the question. 1. If MNP VWX and PM is the shortest side of MNP, what is the shortest

Distance, Midpoint, and Pythagorean Theorem

Geometry, Quarter 1, Unit 1.1 Distance, Midpoint, and Pythagorean Theorem Overview Number of instructional days: 8 (1 day = 45 minutes) Content to be learned Find distance and midpoint. (2 days) Identify

CSU Fresno Problem Solving Session. Geometry, 17 March 2012

CSU Fresno Problem Solving Session Problem Solving Sessions website: http://zimmer.csufresno.edu/ mnogin/mfd-prep.html Math Field Day date: Saturday, April 21, 2012 Math Field Day website: http://www.csufresno.edu/math/news

10-4 Inscribed Angles. Find each measure. 1.

Find each measure. 1. 3. 2. intercepted arc. 30 Here, is a semi-circle. So, intercepted arc. So, 66 4. SCIENCE The diagram shows how light bends in a raindrop to make the colors of the rainbow. If, what

Biggar High School Mathematics Department. National 5 Learning Intentions & Success Criteria: Assessing My Progress

Biggar High School Mathematics Department National 5 Learning Intentions & Success Criteria: Assessing My Progress Expressions & Formulae Topic Learning Intention Success Criteria I understand this Approximation

Wallingford Public Schools - HIGH SCHOOL COURSE OUTLINE

Wallingford Public Schools - HIGH SCHOOL COURSE OUTLINE Course Title: Geometry Course Number: A 1223, G1224 Department: Mathematics Grade(s): 10-11 Level(s): Academic and General Objectives that have an

A segment, ray, line, or plane that is perpendicular to a segment at its midpoint is called a perpendicular bisector. Perpendicular Bisector Theorem

Perpendicular Bisector Theorem A segment, ray, line, or plane that is perpendicular to a segment at its midpoint is called a perpendicular bisector. Converse of the Perpendicular Bisector Theorem If a

POTENTIAL REASONS: Definition of Congruence:

Sec 6 CC Geometry Triangle Pros Name: POTENTIAL REASONS: Definition Congruence: Having the exact same size and shape and there by having the exact same measures. Definition Midpoint: The point that divides

Circle Name: Radius: Diameter: Chord: Secant:

12.1: Tangent Lines Congruent Circles: circles that have the same radius length Diagram of Examples Center of Circle: Circle Name: Radius: Diameter: Chord: Secant: Tangent to A Circle: a line in the plane

2006 ACTM STATE GEOMETRY EXAM

2006 TM STT GOMTRY XM In each of the following you are to choose the best (most correct) answer and mark the corresponding letter on the answer sheet provided. The figures are not necessarily drawn to

Semester Exam Review. Multiple Choice Identify the choice that best completes the statement or answers the question.

Semester Exam Review Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Are O, N, and P collinear? If so, name the line on which they lie. O N M P a. No,

Higher Geometry Problems

Higher Geometry Problems ( Look up Eucidean Geometry on Wikipedia, and write down the English translation given of each of the first four postulates of Euclid. Rewrite each postulate as a clear statement

Geometry Vocabulary Booklet

Geometry Vocabulary Booklet Geometry Vocabulary Word Everyday Expression Example Acute An angle less than 90 degrees. Adjacent Lying next to each other. Array Numbers, letter or shapes arranged in a rectangular

Selected practice exam solutions (part 5, item 2) (MAT 360)

Selected practice exam solutions (part 5, item ) (MAT 360) Harder 8,91,9,94(smaller should be replaced by greater )95,103,109,140,160,(178,179,180,181 this is really one problem),188,193,194,195 8. On

10.1: Areas of Parallelograms and Triangles

10.1: Areas of Parallelograms and Triangles Important Vocabulary: By the end of this lesson, you should be able to define these terms: Base of a Parallelogram, Altitude of a Parallelogram, Height of a

Student Name: Teacher: Date: District: Miami-Dade County Public Schools. Assessment: 9_12 Mathematics Geometry Exam 1

Student Name: Teacher: Date: District: Miami-Dade County Public Schools Assessment: 9_12 Mathematics Geometry Exam 1 Description: GEO Topic 1 Test: Tools of Geometry Form: 201 1. A student followed the

The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY. Thursday, August 16, 2012 8:30 to 11:30 a.m.

GEOMETRY The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY Thursday, August 16, 2012 8:30 to 11:30 a.m., only Student Name: School Name: Print your name and the name of your

The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY. Tuesday, August 13, 2013 8:30 to 11:30 a.m., only.

GEOMETRY The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY Tuesday, August 13, 2013 8:30 to 11:30 a.m., only Student Name: School Name: The possession or use of any communications

Special case: Square. The same formula works, but you can also use A= Side x Side or A= (Side) 2

Geometry Chapter 11/12 Review Shape: Rectangle Formula A= Base x Height Special case: Square. The same formula works, but you can also use A= Side x Side or A= (Side) 2 Height = 6 Base = 8 Area = 8 x 6

10.4 Surface Area of Prisms, Cylinders, Pyramids, Cones, and Spheres. 10.4 Day 1 Warm-up

10.4 Surface Area of Prisms, Cylinders, Pyramids, Cones, and Spheres 10.4 Day 1 Warm-up 1. Which identifies the figure? A rectangular pyramid B rectangular prism C cube D square pyramid 3. A polyhedron

Final Review Problems Geometry AC Name

Final Review Problems Geometry Name SI GEOMETRY N TRINGLES 1. The measure of the angles of a triangle are x, 2x+6 and 3x-6. Find the measure of the angles. State the theorem(s) that support your equation.

Picture. Right Triangle. Acute Triangle. Obtuse Triangle

Name Perpendicular Bisector of each side of a triangle. Construct the perpendicular bisector of each side of each triangle. Point of Concurrency Circumcenter Picture The circumcenter is equidistant from

Picture. Right Triangle. Acute Triangle. Obtuse Triangle

Name Perpendicular Bisector of each side of a triangle. Construct the perpendicular bisector of each side of each triangle. Point of Concurrency Circumcenter Picture The circumcenter is equidistant from