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

Save this PDF as:

Size: px
Start display at page:

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

## Transcription

1 Curriculum Map/Pacing Guide page of 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 and concepts of geometry? ow do we measure line segments and angles? How do we use the Distance Formula? ow do we use the Midpoint Formula? How do we identify parallel and perpendicular lines? find area/perimeter of rectangles, triangles, circles, composites. identify and define the basic tools of geometry (Line, point, plane, etc.) measure & construct segments, angles, triangles, bisectors measure figures, and find midpoint and distance on the coordinate plane identify and define parallel and perpendicular lines use slope to determine whether lines are parallel or perpendicular.7.2,.3.4, , 3.6 Curriculum Map/Pacing Guide page 2 of 6

2 Unit : Tools of (continued) How do we prove that lines are parallel? How do we determine angle measure when parallel lines are cut by a transversal? plan and write paragraph, flow chart and two column proofs, distinguishing between properties, postulates and theorems write conditional statements & their converses write proofs using the Alternate Interior Angles, Alternate Exterior Angles, & Corresponding 3.2, 3.2 Angle Theorems determine angle measure when parallel lines 3., 3.2 are cut by a transversal explain the relationship between the types of angles created when parallel lines are cut by a transversal Curriculum Map/Pacing Guide page 3 of 6 Unit 2: Triangles 25 0 Totals Always Include 2 blocks for Review & Test How do we classify triangles by sides and angle? What are the relationships between the sides and angles of a triangle? What is the Triangle Inequality define, identify, and classify triangles by sides (scalene, isosceles, equilateral) and angles 3.3 (acute, equiangular, obtuse). understand the Side-Angle Postulate 0.5 justify the Side-Angle Postulate in informal proofs solve problems involving the Triangle Inequality Postulate 5.5 Activity binder, District Google

3 postulate? What are the special segments within a triangle? What are the relationships between the special segments within triangles? How do we determine if triangles are congruent? justify the Triangle Inequality Postulate in informal proofs identify and solve problems involving midsegments, altitudes, and medians identify and solve problems involving incenter, orthocenter, circumcenter, and centroid. (Centroid-CP, all else Honors) understand the shortcuts for determining congruency in triangles (ASA/SAA/SAS) , 4.6 Curriculum Map/Pacing Guide page 4 of 6 Unit 2: Triangles (continued) How do we prove that triangles are congruent? How do we determine if triangles are similar? 3 2 write proofs using the congruency postulates 7 identify similar triangles, and solve problems involving proportion identify minimum information to know if triangles are similar (AA, SSS~, SAS~) 4.4, 4.5, Curriculum Map/Pacing Guide page 5 of 6

4 Unit 3: Similarity & Trigonometry 3 9 Totals Always Include 2 blocks for Review & Test Activity binder, District Google What are the special properties of right triangles? How can we use the Pythagorean Theorem & its converse? 4 2 use geometric mean/similarity to solve problems 8.4 solve with Pythagorean Theorem deduce obtuse,acute,right with Pythagorean Thoerem 7.2 GSP Demos Ch 09 use 3,4,5 and 5,2,3 Pythagorean Triples What are special right triangles? What are the 3 Trigonometric Ratios? solve problems involving and triangles apply the properties of special right & similar triangles to determine the missing side of a given triangle solve problems with trigonometry & use trig tables & calculators for ratios connect tangent ratio to slope of lines Trig Ratio Tables p73 IMP : Return of the Tree page 95 EGwGSP Curriculum Map/Pacing Guide page 6 of 6 Unit 4: Polygons 6 0 Totals Always Include 2 blocks for Review & Test Activity binder, District Google How can a polygon be classified? How can the sum of a polygon's classify polygons based on number of sides (quadrilateral, triangle, etc.) concave/convex, regular/irregular determine the sum of the interior and exterior angles of a polygon 3.4 Ch5 Discovering 3.4 GSP Demos Ch 5

5 How can the sum of a polygon's interior angles be determined when only the number of sides is known? How can it be determined if two polygons are similar? How can quadrilaterals be classified using properties of sides, angles and diagonals? 2 4 decompose polygon into triangles solve problems using the formulas for interior and exterior angles of polygons to determine the measure of missing angles apply properties of similar figures to determine if two polygons are similar apply properties of similar figures to determine the length of missing sides and the measure of missing angles in similar polygons using proportions use knowledge of angles, sides and diagonals in order to classify quadrilaterals , EGwGSP page 2-3 Golden Ratio applies to credit cards, business cards GSP Demos Ch 0 CH 4 of EGwGSP page EGwGSP, Curriculum Map/Pacing Guide page 7 of 6 Unit 4: Polygons (continued) What makes a good definition? 0.5 use properties of quadrilaterals (sides, diagonals, angles, and diagonals) to solve problems involving squares, rectangles, parallelograms, etc. define classes of quadrilaterals with biconditionals justify postulates about the special quadrilaterals using informal proof

6 How do we prove a conjecture? 2 2 write proofs of quadrilateral theorems using the properties of congruence, and angle postulates 6.3 Midterm Review 2 blocks What are the essential elements of? 4 3 complete practice review problems that summarize the terms work Curriculum Map/Pacing Guide page 8 of 6 Unit 5: Circles Totals Always Include 2 blocks for Review & Test Activity binder, District Google What types of lines and line segments are associated with circles? classify special segments of circles (radius, diameter, chord, secant, tangent, arc) 7.6 What are the special ratios of circles? What relationships exist among the measures of central and inscribed angles and arcs? demonstrate an understanding of circle ratios: radius-diameter, diameter-circumference, pi solve problems for the circumference, diameter, and radii of circles solve problems relating inscribed angles, intercepted arcs, radii, tangent segments, secant segments, chords* apply proportions to chords, tangents, secants,radii* demonstrate understanding of the relationships between the measures of central and inscribed angles and arcs

7 apply mean to vertical angles between intercepted arcs. -.4 Curriculum Map/Pacing Guide page 9 of 6 Unit 5: Circles (continued) How can the relationship between arcs and angles be used to find the length or measure of arcs? 2 solve problems for the measurements of central and inscribed angles, arc angles, the measurements of angles and arcs formed by secants and tangents. -.4 How do we prove circle conjectures? 2 write indirect proofs in paragraph and twocolumn format to prove theorems of circles, involving conjectures, tangents, inscribed angles, and parallel lines. -.4 Curriculum Map/Pacing Guide page 0 of 6 Unit 6: Measuring 2D Figures 8 7 Totals Always Include 2 blocks for Review & Test 2 differentiate between perimeter and area Activity binder, District Google

8 How are triangles measured using properties to deduce missing information? How are quadrilaterals measured using properties to deduce missing information? How are perimeter and/or area of regular polygons found? How are circles measured using properties to deduce missing information? Curriculum Map/Pacing Guide deduce altitude of equilateral triangle solve for the perimeter and area of triangles using triangle formulas (i.e. area, Pythagoras, Special Right Triangles, Trig) differentiate between perimeter and area solve for the perimeter and area of quadrilaterals (parallelograms vs. trapezoids) using area formulas connect mean to trapezoid area formula 7.4 solve problems using the lengths of segments 0.5 and apothems to solve for the perimeter and/or 7.5 area of regular polygons solve problems for the circumference and area 0.5 of circles andcalculate the arc length and area of 7.6, 7.7 sectors with proportions page of 6 Unit 7: Measurement in Space 0 6 Totals Always Include 2 blocks for Review & Test What does 3-D mean? differentiate between 2D and 3D figures. identify appropriate measurement units (i.e. 0., 0.2 units², units³) How can polyhedrons be named? 0.5 differentiate between bases and faces of prisms explore net diagrams Activity binder, District Google

9 How is the lateral surface area of an object found? What are the formulas used to solve for it? How is the total surface area of an object found? What are the formulas used to solve for it? Curriculum Map/Pacing Guide demonstrate understanding of lateral surface area as total surface area minus the base area(s) solve for 0.3, 0.4 the total lateral area of objects in space using lateral surface area formulas complete real-world modeling problems 0.7 differentiate between total surface area and lateral surface area of an object solve for the total surface area of objects in space using surface area formulas identify and calculate slant height 0.3, 0.4 complete real-world modeling problems 0.7 page 2 of 6 Unit 7: Measurement in Space (continued) demonstrate understanding of volume as a How does one measure the space measurement in cubic units select 0.5, 0.6 inside 3D figures? and differentiate between the volume formulas necessary to solve problems What is volume? complete real-world modeling problems 0.7 What are the relationships between perimeter scale factors and area/volume ratios? identify scale factors for given polyhedrons based on perimeter calculations (units) use the scale factor to calculate the area and volume ratios (units², units³) 0.8

10 Curriculum Map/Pacing Guide page 3 of 6 Unit 8: Transformations 7 5 Totals Always Include 2 blocks for Review & Test Activity binder, District Google What is a transformation? What is an isometry? 0.5 When do we use dilation? 0.5 understand the basic concepts of transformations, including image/pre-image, isometry identify and define translation, reflection, and rotation on and off the coordinate plane understand dilation and apply the concept of scale factor to figures complete real-world modeling problems ******MCAS Review****** , How are composite transformations created? 0.5 understand the concept of composition 2.4 identify multiply transformations, including glide reflections, reflections over parallel lines (translation), and reflections over intersecting lines (rotations) Curriculum Map/Pacing Guide page 4 of 6

11 Unit 8: Transformations (continued) When are tessellations useful? identify when tessellations are used in the real world create tessellations using chosen transformation 2.6 identify the vertex arrangements of tessellations, note sum of degrees ************NOTE: Alternative Assessment: Tessellation Drawing Project, Geometer's Sketchpad Kaleidoscope (pg 66)*************** Curriculum Map/Pacing Guide page 5 of 6 Unit 9: Statistics & Geometric Probability 8 6 Totals Always Include 2 blocks for Review & Test Activity binder, District Google Why do we look at data? How can it best be represented? classify different methods of data collection and 7.6 Skills Handbook

12 What are some of the ways quantitative data can be represented? classify different methods of data collection and graphic representation such as frequency tables, box-and-whisker, and stem-leaf plots, scatterplots pp How can one interpret quantitative data? 2 demonstrate understanding of mean, median, mode, and range of data by solving central tendency problems select appropriate measures of central tendency to adequately interpret data 8.4 What is a measure of central tendency? What generalizations can you draw from a given set of data? 0.5 demonstrate understanding of weighted frequency and line-of-best-fit with graphic representations 3.5 Curriculum Map/Pacing Guide page 6 of 6 Unit 9: Statistics & Geometric Probability (continued) What is the likelihood that an outcome will occur? 2.5 use lengths, areas to calculate probability pp

13 Final Review What are the essential elements of? 5 4 find P(dart in bull's eye) 7.8 solve problems for the probability of an event occurring complete practice review problems that summarize the year/semesters work

### GEOMETRY CONCEPT MAP. Suggested Sequence:

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

### 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

### 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 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

### 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

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

### 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

### 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:

### 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

### Lesson 4.4 Congruence shortcuts SSS, AAS, SAS (not AAA or ASS)

Review Problems Lesson 1.3 Terminology Lesson 1.4 Polygons Lesson 1.5 Triangles and special quadrilaterals Lesson 2.5 Angle relationships Lesson 2.6 Special angels on parallel lines Chapter 3 Points of

### 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

# 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

### 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

### 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

### 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:

### 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

### 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,

### 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

### 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

### 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:

### 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

### 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

### 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,

### 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

### 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,

### 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

### 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

### 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

### 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)

### 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

### 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

### 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

### Alabama Course of Study Mathematics Geometry

A Correlation of Prentice Hall to the Alabama Course of Study Mathematics Prentice Hall, Correlated to the Alabama Course of Study Mathematics - GEOMETRY CONGRUENCE Experiment with transformations in the

### 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

### 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

### Georgia Standards of Excellence Curriculum Map. Mathematics. GSE Geometry

Georgia Standards of Excellence Curriculum Map Mathematics GSE Geometry These materials are for nonprofit educational purposes only. Any other use may constitute copyright infringement. Georgia Department

### 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

### Middle Grades Mathematics 5 9

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

### 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

### 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

### 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

### 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,

### Upper Elementary Geometry

Upper Elementary Geometry Geometry Task Cards Answer Key The unlicensed photocopying, reproduction, display, or projection of the material, contained or accompanying this publication, is expressly prohibited

### Geometry Performance Level Descriptors

Geometry Performance Level Descriptors Limited A student performing at the Limited Level demonstrates a minimal command of Ohio s Learning Standards for Geometry. A student at this level has an emerging

### 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

### 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

### (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

### 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

### 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

### MATHEMATICS Grade 6 Standard: Number, Number Sense and Operations

Standard: Number, Number Sense and Operations Number and Number C. Develop meaning for percents including percents greater than 1. Describe what it means to find a specific percent of a number, Systems

### 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

### 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

### 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,

### 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

### 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,

### 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

### Whole Numbers and Integers (44 topics, no due date)

Course Name: PreAlgebra into Algebra Summer Hwk Course Code: GHMKU-KPMR9 ALEKS Course: Pre-Algebra Instructor: Ms. Rhame Course Dates: Begin: 05/30/2015 End: 12/31/2015 Course Content: 302 topics Whole

### Teaching Mathematics Vocabulary Using Hands-On Activities From an MSP Grant Summer Institute

Teaching Mathematics Vocabulary Using Hands-On Activities From an MSP Grant Summer Institute Dr. Carroll G. Wells (Co-authors: Dr. Randy Bouldin, Dr. Ben Hutchinson, Dr. Candice McQueen) Department of

### Area. Area Overview. Define: Area:

Define: Area: Area Overview Kite: Parallelogram: Rectangle: Rhombus: Square: Trapezoid: Postulates/Theorems: Every closed region has an area. If closed figures are congruent, then their areas are equal.

### Geometry Concepts. Figures that lie in a plane are called plane figures. These are all plane figures. Triangle 3

Geometry Concepts Figures that lie in a plane are called plane figures. These are all plane figures. Polygon No. of Sides Drawing Triangle 3 A polygon is a plane closed figure determined by three or more

### 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

### 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

### Geometry. Geometry is the study of shapes and sizes. The next few pages will review some basic geometry facts. Enjoy the short lesson on geometry.

Geometry Introduction: We live in a world of shapes and figures. Objects around us have length, width and height. They also occupy space. On the job, many times people make decision about what they know

### 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

### 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

### 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

### 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.

### Chapter 5: Relationships within Triangles

Name: Chapter 5: Relationships within Triangles Guided Notes Geometry Fall Semester CH. 5 Guided Notes, page 2 5.1 Midsegment Theorem and Coordinate Proof Term Definition Example midsegment of a triangle

### Name Period 10/22 11/1 10/31 11/1. Chapter 4 Section 1 and 2: Classifying Triangles and Interior and Exterior Angle Theorem

Name Period 10/22 11/1 Vocabulary Terms: Acute Triangle Right Triangle Obtuse Triangle Scalene Isosceles Equilateral Equiangular Interior Angle Exterior Angle 10/22 Classify and Triangle Angle Theorems

### 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

### 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)

### Unit 1: Similarity, Congruence, and Proofs

Unit 1: Similarity, Congruence, and Proofs This unit introduces the concepts of similarity and congruence. The definition of similarity is explored through dilation transformations. The concept of scale

### #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

### 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

### 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.

### 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

### FS Geometry EOC Review

MAFS.912.G-C.1.1 Dilation of a Line: Center on the Line In the figure, points A, B, and C are collinear. http://www.cpalms.org/public/previewresource/preview/72776 1. Graph the images of points A, B, and

### 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

### /27 Intro to Geometry Review

/27 Intro to Geometry Review 1. An acute has a measure of. 2. A right has a measure of. 3. An obtuse has a measure of. 13. Two supplementary angles are in ratio 11:7. Find the measure of each. 14. In the

### 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

### Objectives. Cabri Jr. Tools

Activity 24 Angle Bisectors and Medians of Quadrilaterals Objectives To investigate the properties of quadrilaterals formed by angle bisectors of a given quadrilateral To investigate the properties of

### Quadrilaterals Properties of a parallelogram, a rectangle, a rhombus, a square, and a trapezoid

Quadrilaterals Properties of a parallelogram, a rectangle, a rhombus, a square, and a trapezoid Grade level: 10 Prerequisite knowledge: Students have studied triangle congruences, perpendicular lines,

### 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

### Postulate 17 The area of a square is the square of the length of a. Postulate 18 If two figures are congruent, then they have the same.

Chapter 11: Areas of Plane Figures (page 422) 11-1: Areas of Rectangles (page 423) Rectangle Rectangular Region Area is measured in units. Postulate 17 The area of a square is the square of the length

### 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

### MATHEMATICS GRADE LEVEL VOCABULARY DRAWN FROM SBAC ITEM SPECIFICATIONS VERSION 1.1 JUNE 18, 2014

VERSION 1.1 JUNE 18, 2014 MATHEMATICS GRADE LEVEL VOCABULARY DRAWN FROM SBAC ITEM SPECIFICATIONS PRESENTED BY: WASHINGTON STATE REGIONAL MATH COORDINATORS Smarter Balanced Vocabulary - From SBAC test/item

### 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:

### *1. Derive formulas for the area of right triangles and parallelograms by comparing with the area of rectangles.

Students: 1. Students understand and compute volumes and areas of simple objects. *1. Derive formulas for the area of right triangles and parallelograms by comparing with the area of rectangles. Review

### 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

### 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.

### 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

### CAMI Education linked to CAPS: Mathematics

- 1 - TOPIC 1.1 Whole numbers _CAPS Curriculum TERM 1 CONTENT Properties of numbers Describe the real number system by recognizing, defining and distinguishing properties of: Natural numbers Whole numbers

### 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

### PERIMETER AND AREA. In this unit, we will develop and apply the formulas for the perimeter and area of various two-dimensional figures.

PERIMETER AND AREA In this unit, we will develop and apply the formulas for the perimeter and area of various two-dimensional figures. Perimeter Perimeter The perimeter of a polygon, denoted by P, is the

### Grade 7 Mathematics, Quarter 4, Unit 4.1. Probability. Overview

Grade 7 Mathematics, Quarter 4, Unit 4.1 Probability Overview Number of instructional days: 8 (1 day = 45 minutes) Content to be learned Understand how to use counting techniques to solve problems involving

### Scope & Sequence MIDDLE SCHOOL

Math in Focus is a registered trademark of Times Publishing Limited. Houghton Mifflin Harcourt Publishing Company. All rights reserved. Printed in the U.S.A. 06/13 MS77941n Scope & Sequence MIDDLE SCHOOL