Classify Triangles. x a m p E 1 E 2 B C. page 294 Chapter 25 Lesson 3. Triangles can be classified according to the length of the sides.

Size: px
Start display at page:

Download "Classify Triangles. x a m p E 1 E 2 B C. page 294 Chapter 25 Lesson 3. Triangles can be classified according to the length of the sides."

Transcription

1 SS MG 7 GG.2Know the lassify definitions two-dimensional of different figures triangles based on (e.g., the presence, or absence of parallel, or perpendicular ) and lines, identify or the presence their attributes. or absence of angles of a specified size. Recognize triangles as a category, and identify triangles. UNDRLYNG SKLLS AND ONS: meaning of angle; estimate measures; vocabulary lassify riangles Key d e a riangles can be classified according to the length of the sides. triangle All sides are the triangle wo sides are the triangle No two sides are the riangles can also be classified by their largest angle. Remember: An angle has a measure that is less than 90. A angle has a measure that is exactly 90. An angle has a measure greater than 90 and less than 180. So, you can name triangles by their largest angle. < 1 turn 4 triangle All three angles are. x a m p l 1 Which of these triangles are? xplain how you know. A B D = turn 1 4 triangle ontains one angle. x a m p > 1 turn 4 triangle ontains an angle. l 2 Which of these triangles are triangles? A B D SL Associates, nc. All s reserved. riangles A and D are because they each have two sides that are the A angle forms a square corner. Use the corner of your paper to check. riangle A is a triangle because it has a angle. page 294 hapter 25 Lesson 3

2 R A lassify each triangle as,, or. lassify each triangle as,, or. D SL Associates, nc. All s reserved. 1 have an angle and two of my sides are the and omplete each sentence. Use,, or. 10. sosceles triangles have 2 equal sides and the third one different. 1 Scalene triangles have no 2 sides that are the 1 quilatera l triangles have 3 sides that are the 1 have all angles and all of my sides are the and hapter 25 Lesson 3 page 295

3 R A at home! lassify each triangle as,, or. lassify each triangle as,, or. 1 have a angle and two of my sides are the and omplete each sentence. Use,, or. 10. quilateral triangles have 3 sides that are the 1 Scalene triangles have no 2 sides that are the 1 sosceles triangles have 2 equal sides and the third one different. D SL Associates, nc. All s reserved. 1 have an angle and all of my sides are different lengths. and page 198 Home Resource and Homework hapter 25 Lesson 3

4 R A lassify each triangle as,, or. lassify each triangle as,, or. D SL Associates, nc. All s reserved. 1 have an angle and two of my sides are the and omplete each sentence. Use,, or. 10. sosceles triangles have 2 equal sides and the third one different. 1 Scalene triangles have no 2 sides that are the 1 quilateral triangles have 3 sides that are the 1 have all angles and all of my sides are the and hapter 25 Lesson 3 Student Book age page 295

5 R A at home! lassify each triangle as,, or. lassify each triangle as,, or. 1 have a angle and two of my sides are the and omplete each sentence. Use,, or. 10. quilateral triangles have 3 sides that are the 1 Scalene triangles have no 2 sides that are the 1 sosceles triangles have 2 equal sides and the third one different. D SL Associates, nc. All s reserved. 1 have an angle and all of my sides are different lengths. and page 198 Home Resource and Homework hapter 25 Lesson 3

Classifying Quadrilaterals

Classifying Quadrilaterals 1 lassifying Quadrilaterals Identify and sort quadrilaterals. 1. Which of these are parallelograms?,, quadrilateral is a closed shape with 4 straight sides. trapezoid has exactly 1 pair of parallel sides.

More information

Target To know the properties of a rectangle

Target To know the properties of a rectangle Target To know the properties of a rectangle (1) A rectangle is a 3-D shape. (2) A rectangle is the same as an oblong. (3) A rectangle is a quadrilateral. (4) Rectangles have four equal sides. (5) Rectangles

More information

Grade 3 Core Standard III Assessment

Grade 3 Core Standard III Assessment Grade 3 Core Standard III Assessment Geometry and Measurement Name: Date: 3.3.1 Identify right angles in two-dimensional shapes and determine if angles are greater than or less than a right angle (obtuse

More information

angle attribute Figure 1 4 right angles opposite sides parallel Lesson 14 5 Lesson 14 4 Vocab

angle attribute Figure 1 4 right angles opposite sides parallel Lesson 14 5 Lesson 14 4 Vocab Vocab angle attribute 006_055_G4_VisV_101741.indd Page F46 2/13/10 11:27:36 PM u-s014 /Volumes/114/GO00403/GO00403_Natl_Visual_Voca_Cards_G4%0 Figure 1 4 right angles opposite sides parallel endpoint hexagon

More information

4.7 Triangle Inequalities

4.7 Triangle Inequalities age 1 of 7 4.7 riangle Inequalities Goal Use triangle measurements to decide which side is longest and which angle is largest. he diagrams below show a relationship between the longest and shortest sides

More information

Perpendicular and Parallel Line Segments Worksheet 1 Drawing Perpendicular Line Segments

Perpendicular and Parallel Line Segments Worksheet 1 Drawing Perpendicular Line Segments HPTER10 Perpendicular and Parallel Line Segments Worksheet 1 Drawing Perpendicular Line Segments Fill in the blanks with perpendicular or parallel. D Line is parallel to line D. 1. R P S Line PQ is 2.

More information

Preparation Prepare a set of standard triangle shapes for each student. The shapes are found in the Guess My Rule Cards handout.

Preparation Prepare a set of standard triangle shapes for each student. The shapes are found in the Guess My Rule Cards handout. Classifying Triangles Student Probe How are triangles A, B, and C alike? How are triangles A, B, and C different? A B C Answer: They are alike because they each have 3 sides and 3 angles. They are different

More information

Unit 8 Angles, 2D and 3D shapes, perimeter and area

Unit 8 Angles, 2D and 3D shapes, perimeter and area Unit 8 Angles, 2D and 3D shapes, perimeter and area Five daily lessons Year 6 Spring term Recognise and estimate angles. Use a protractor to measure and draw acute and obtuse angles to Page 111 the nearest

More information

Classifying Lesson 1 Triangles

Classifying Lesson 1 Triangles Classifying Lesson 1 acute angle congruent scalene Classifying VOCABULARY right angle isosceles Venn diagram obtuse angle equilateral You classify many things around you. For example, you might choose

More information

Geometry of 2D Shapes

Geometry of 2D Shapes Name: Geometry of 2D Shapes Answer these questions in your class workbook: 1. Give the definitions of each of the following shapes and draw an example of each one: a) equilateral triangle b) isosceles

More information

SPRING UNIT 14. second half. Line symmetry and reflection. Measuring angles. Naming and estimating angles. Drawing angles

SPRING UNIT 14. second half. Line symmetry and reflection. Measuring angles. Naming and estimating angles. Drawing angles PART SPRING second half SHAPE AND SPACE SECTION Line symmetry and reflection SECTION Measuring angles SECTION Naming and estimating angles SECTION Drawing angles SECTION 5 Calculations involving angles

More information

NAME DATE PERIOD. Study Guide and Intervention

NAME DATE PERIOD. Study Guide and Intervention opyright Glencoe/McGraw-Hill, a division of he McGraw-Hill ompanies, Inc. 5-1 M IO tudy Guide and Intervention isectors, Medians, and ltitudes erpendicular isectors and ngle isectors perpendicular bisector

More information

Which two rectangles fit together, without overlapping, to make a square?

Which two rectangles fit together, without overlapping, to make a square? SHAPE level 4 questions 1. Here are six rectangles on a grid. A B C D E F Which two rectangles fit together, without overlapping, to make a square?... and... International School of Madrid 1 2. Emily has

More information

Investigating Quadrilaterals Grade Four

Investigating Quadrilaterals Grade Four Ohio Standards Connection Geometry and Spatial Sense Benchmark A Provide rationale for groupings and comparisons of two-dimensional figures and three-dimensional objects. Indicator 3 Identify similarities

More information

13.1 Lines, Rays, and Angles

13.1 Lines, Rays, and Angles ? Name Geometry and Measurement 4.6. 13.1 Lines, Rays, and ngles Essential Question How can you identify and draw points, lines, line segments, rays, and angles? MHEMIL PROEE 4.1., 4.1.E Unlock the Problem

More information

Discovering Math: Exploring Geometry Teacher s Guide

Discovering Math: Exploring Geometry Teacher s Guide Teacher s Guide Grade Level: 6 8 Curriculum Focus: Mathematics Lesson Duration: Three class periods Program Description Discovering Math: Exploring Geometry From methods of geometric construction and threedimensional

More information

ICT Vignette 4 Using Word in KS3 Maths. NC Subject, Topic. KS3 Mathematics Ma3 - Classifying 2-D shapes. Context

ICT Vignette 4 Using Word in KS3 Maths. NC Subject, Topic. KS3 Mathematics Ma3 - Classifying 2-D shapes. Context ICT Vignette 4 Using Word in KS3 Maths NC Subject, Topic KS3 Mathematics Ma3 - Classifying 2-D shapes Context This session takes place in a secondary comprehensive school in West London with 1,300 students

More information

Explorations with Shapes Kindergarten

Explorations with Shapes Kindergarten Ohio Standards Connections Geometry and Spatial Sense Benchmark C Sort and compare twodimensional figures and threedimensional objects according to their characteristics and properties. Indicator 1 Identify

More information

Geometry: Classifying, Identifying, and Constructing Triangles

Geometry: Classifying, Identifying, and Constructing Triangles Geometry: Classifying, Identifying, and Constructing Triangles Lesson Objectives Teacher's Notes Lesson Notes 1) Identify acute, right, and obtuse triangles. 2) Identify scalene, isosceles, equilateral

More information

Show that when a circle is inscribed inside a square the diameter of the circle is the same length as the side of the square.

Show that when a circle is inscribed inside a square the diameter of the circle is the same length as the side of the square. Week & Day Week 6 Day 1 Concept/Skill Perimeter of a square when given the radius of an inscribed circle Standard 7.MG:2.1 Use formulas routinely for finding the perimeter and area of basic twodimensional

More information

11.3 Curves, Polygons and Symmetry

11.3 Curves, Polygons and Symmetry 11.3 Curves, Polygons and Symmetry Polygons Simple Definition A shape is simple if it doesn t cross itself, except maybe at the endpoints. Closed Definition A shape is closed if the endpoints meet. Polygon

More information

Name Period 11/2 11/13

Name Period 11/2 11/13 Name Period 11/2 11/13 Vocabulary erms: ongruent orresponding Parts ongruency statement Included angle Included side GOMY UNI 6 ONGUN INGL HL Non-included side Hypotenuse Leg 11/5 and 11/12 eview 11/6,,

More information

Grade 8 Mathematics Geometry: Lesson 2

Grade 8 Mathematics Geometry: Lesson 2 Grade 8 Mathematics Geometry: Lesson 2 Read aloud to the students the material that is printed in boldface type inside the boxes. Information in regular type inside the boxes and all information outside

More information

Shape Dictionary YR to Y6

Shape Dictionary YR to Y6 Shape Dictionary YR to Y6 Guidance Notes The terms in this dictionary are taken from the booklet Mathematical Vocabulary produced by the National Numeracy Strategy. Children need to understand and use

More information

Unit 6 Direction and angle

Unit 6 Direction and angle Unit 6 Direction and angle Three daily lessons Year 4 Spring term Unit Objectives Year 4 Recognise positions and directions: e.g. describe and find the Page 108 position of a point on a grid of squares

More information

10.2 45-45 -90 Triangles

10.2 45-45 -90 Triangles Page of 6 0. --0 Triangles Goal Find the side lengths of --0 triangles. Key Words --0 triangle isosceles triangle p. 7 leg of a right triangle p. hypotenuse p. Geo-Activity Eploring an Isosceles Right

More information

Activities Grades K 2 THE FOUR-SQUARE QUILT. Put triangles together to make patterns.

Activities Grades K 2 THE FOUR-SQUARE QUILT. Put triangles together to make patterns. Activities Grades K 2 www.exploratorium.edu/geometryplayground/activities THE FOUR-SQUARE QUILT Put triangles together to make patterns. [45 minutes] Materials: Four-Square Quilt Template (attached) Triangle

More information

2. If C is the midpoint of AB and B is the midpoint of AE, can you say that the measure of AC is 1/4 the measure of AE?

2. If C is the midpoint of AB and B is the midpoint of AE, can you say that the measure of AC is 1/4 the measure of AE? MATH 206 - Midterm Exam 2 Practice Exam Solutions 1. Show two rays in the same plane that intersect at more than one point. Rays AB and BA intersect at all points from A to B. 2. If C is the midpoint of

More information

Problem set on Cross Product

Problem set on Cross Product 1 Calculate the vector product of a and b given that a= 2i + j + k and b = i j k (Ans 3 j - 3 k ) 2 Calculate the vector product of i - j and i + j (Ans ) 3 Find the unit vectors that are perpendicular

More information

The Half-Circle Protractor

The Half-Circle Protractor The Half-ircle Protractor Objectives To guide students as they classify angles as acute, right, obtuse, straight, and reflex; and to provide practice using a half-circle protractor to measure and draw

More information

MATH STUDENT BOOK. 8th Grade Unit 6

MATH STUDENT BOOK. 8th Grade Unit 6 MATH STUDENT BOOK 8th Grade Unit 6 Unit 6 Measurement Math 806 Measurement Introduction 3 1. Angle Measures and Circles 5 Classify and Measure Angles 5 Perpendicular and Parallel Lines, Part 1 12 Perpendicular

More information

Assessment For The California Mathematics Standards Grade 4

Assessment For The California Mathematics Standards Grade 4 Introduction: Summary of Goals GRADE FOUR By the end of grade four, students understand large numbers and addition, subtraction, multiplication, and division of whole numbers. They describe and compare

More information

3. Relationship between this Unit and the Principles and Standards for School Mathematics (NCTM 2000). This Unit

3. Relationship between this Unit and the Principles and Standards for School Mathematics (NCTM 2000). This Unit 4 th Grade Mathematics Lesson Plan April 16-18, 2002 Brewer Island School, San Mateo, CA Instructor: Akihiko Takahashi 1. Title of Unit: Finding the Area of Shapes 2. Goal: a. To deepen students understanding

More information

SAT Course Schedule Details

SAT Course Schedule Details Practice Test correspondence Full length practice tests: Practice Test Test in Book Diagnostic Pages Form Code 1 3 S09B03A 513-555 2 7 S09B07A 761-803 3 2 S09B02A 451-493 4 4 S09B04A 575-616 In-class End-of-Term

More information

Activity 1 Find lines of symmetry.

Activity 1 Find lines of symmetry. Name Find and Draw Lines of Symmetry Essential Question How do you find lines of symmetry? Lesson 10.6 Geometry 4.G.A.3 MATHEMATICAL PRACTICES MP1, MP7, MP8 Unlock the Problem How many lines of symmetry

More information

Exploring Geometric Mean

Exploring Geometric Mean Exploring Geometric Mean Lesson Summary: The students will explore the Geometric Mean through the use of Cabrii II software or TI 92 Calculators and inquiry based activities. Keywords: Geometric Mean,

More information

Mathematical goals. Starting points. Materials required. Time needed

Mathematical goals. Starting points. Materials required. Time needed Level A0 of challenge: D A0 Mathematical goals Starting points Materials required Time needed Connecting perpendicular lines To help learners to: identify perpendicular gradients; identify, from their

More information

Performance Assessment Task Which Shape? Grade 3. Common Core State Standards Math - Content Standards

Performance Assessment Task Which Shape? Grade 3. Common Core State Standards Math - Content Standards Performance Assessment Task Which Shape? Grade 3 This task challenges a student to use knowledge of geometrical attributes (such as angle size, number of angles, number of sides, and parallel sides) to

More information

Chemistry 105, Chapter 7 Exercises

Chemistry 105, Chapter 7 Exercises hemistry 15, hapter 7 Exercises Types of Bonds 1. Using the periodic table classify the bonds in the following compounds as ionic or covalent. If covalent, classify the bond as polar or not. Mg2 4 i2 a(3)2

More information

Final Review Geometry A Fall Semester

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

More information

Contents. Grades K-2 1. Math Notebook Cover Template 2. Table of Contents Template

Contents. Grades K-2 1. Math Notebook Cover Template 2. Table of Contents Template Getting started with Interactive Math Notebooks Contents Grade 3-5 1. Math Notebook Expectations 2. Preparing your Math Notebook 3. Math Notebook Cover Template 4. Hints for Implementing Math Notebooks

More information

Name: Class: Date: Multiple Choice Identify the choice that best completes the statement or answers the question.

Name: Class: Date: Multiple Choice Identify the choice that best completes the statement or answers the question. Name: lass: _ ate: _ I: SSS Multiple hoice Identify the choice that best completes the statement or answers the question. 1. Given the lengths marked on the figure and that bisects E, use SSS to explain

More information

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 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

More information

Multiplication and Division of Positive and Negative Numbers

Multiplication and Division of Positive and Negative Numbers Multiplication and Division of Positive Objective o develop and apply rules for multiplying and dividing positive and www.everydaymathonline.com epresentations eoolkit Algorithms Practice EM Facts Workshop

More information

Copyright 2011 Casa Software Ltd. www.casaxps.com. Centre of Mass

Copyright 2011 Casa Software Ltd. www.casaxps.com. Centre of Mass Centre of Mass A central theme in mathematical modelling is that of reducing complex problems to simpler, and hopefully, equivalent problems for which mathematical analysis is possible. The concept of

More information

Dear Grade 4 Families,

Dear Grade 4 Families, Dear Grade 4 Families, During the next few weeks, our class will be exploring geometry. Through daily activities, we will explore the relationship between flat, two-dimensional figures and solid, three-dimensional

More information

1. Kyle stacks 30 sheets of paper as shown to the right. Each sheet weighs about 5 g. How can you find the weight of the whole stack?

1. Kyle stacks 30 sheets of paper as shown to the right. Each sheet weighs about 5 g. How can you find the weight of the whole stack? Prisms and Cylinders Answer Key Vocabulary: cylinder, height (of a cylinder or prism), prism, volume Prior Knowledge Questions (Do these BEFORE using the Gizmo.) [Note: The purpose of these questions is

More information

Paper 1. Mathematics test. Calculator not allowed. First name. Last name. School KEY STAGE TIER

Paper 1. Mathematics test. Calculator not allowed. First name. Last name. School KEY STAGE TIER Ma KEY STAGE 3 TIER 4 6 2005 Mathematics test Paper 1 Calculator not allowed Please read this page, but do not open your booklet until your teacher tells you to start. Write your name and the name of your

More information

WORK SCHEDULE: MATHEMATICS 2007

WORK SCHEDULE: MATHEMATICS 2007 , K WORK SCHEDULE: MATHEMATICS 00 GRADE MODULE TERM... LO NUMBERS, OPERATIONS AND RELATIONSHIPS able to recognise, represent numbers and their relationships, and to count, estimate, calculate and check

More information

CONGRUENCE BASED ON TRIANGLES

CONGRUENCE BASED ON TRIANGLES HTR 174 5 HTR TL O ONTNTS 5-1 Line Segments ssociated with Triangles 5-2 Using ongruent Triangles to rove Line Segments ongruent and ngles ongruent 5-3 Isosceles and quilateral Triangles 5-4 Using Two

More information

Quadrilaterals GETTING READY FOR INSTRUCTION

Quadrilaterals GETTING READY FOR INSTRUCTION Quadrilaterals / Mathematics Unit: 11 Lesson: 01 Duration: 7 days Lesson Synopsis: In this lesson students explore properties of quadrilaterals in a variety of ways including concrete modeling, patty paper

More information

Algebra Geometry Glossary. 90 angle

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:

More information

1-1. Nets and Drawings for Visualizing Geometry. Vocabulary. Review. Vocabulary Builder. Use Your Vocabulary

1-1. Nets and Drawings for Visualizing Geometry. Vocabulary. Review. Vocabulary Builder. Use Your Vocabulary 1-1 Nets and Drawings for Visualizing Geometry Vocabulary Review Identify each figure as two-dimensional or three-dimensional. 1. 2. 3. three-dimensional two-dimensional three-dimensional Vocabulary uilder

More information

Which shapes make floor tilings?

Which shapes make floor tilings? Which shapes make floor tilings? Suppose you are trying to tile your bathroom floor. You are allowed to pick only one shape and size of tile. The tile has to be a regular polygon (meaning all the same

More information

GEOMETRY: TRIANGLES COMMON MISTAKES

GEOMETRY: TRIANGLES COMMON MISTAKES GEOMETRY: TRIANGLES COMMON MISTAKES 1 Geometry-Classifying Triangles How Triangles are Classified Types-Triangles are classified by Angles or Sides By Angles- Obtuse Triangles-triangles with one obtuse

More information

What's the Spin? - Discover Properties of Geometric Rotations

What's the Spin? - Discover Properties of Geometric Rotations What's the Spin? - Discover Properties of Geometric Rotations Geometry Major Topics: Rotations and their relation to reflections NCTM Principles and Standards: Content Standards Geometry Apply transformations

More information

The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY. Thursday, January 24, 2013 9:15 a.m. to 12:15 p.m.

The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY. Thursday, January 24, 2013 9:15 a.m. to 12:15 p.m. GEOMETRY The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY Thursday, January 24, 2013 9:15 a.m. to 12:15 p.m., only Student Name: School Name: The possession or use of any

More information

37 Basic Geometric Shapes and Figures

37 Basic Geometric Shapes and Figures 37 Basic Geometric Shapes and Figures In this section we discuss basic geometric shapes and figures such as points, lines, line segments, planes, angles, triangles, and quadrilaterals. The three pillars

More information

Estimating Angle Measures

Estimating Angle Measures 1 Estimating Angle Measures Compare and estimate angle measures. You will need a protractor. 1. Estimate the size of each angle. a) c) You can estimate the size of an angle by comparing it to an angle

More information

The Dot and Cross Products

The Dot and Cross Products The Dot and Cross Products Two common operations involving vectors are the dot product and the cross product. Let two vectors =,, and =,, be given. The Dot Product The dot product of and is written and

More information

Mathematics as Reasoning Students will use reasoning skills to determine the best method for maximizing area.

Mathematics as Reasoning Students will use reasoning skills to determine the best method for maximizing area. Title: A Pen for Penny Brief Overview: This unit is a reinforcement of the concepts of area and perimeter of rectangles. Methods for maximizing area while perimeter remains the same are also included.

More information

The Language IN Math:Strategies for Developing Math Vocabulary

The Language IN Math:Strategies for Developing Math Vocabulary The Language IN Math:Strategies for Developing Math Vocabulary Math, Limited English Proficiency Learners Grades K-6 How do we teach mathematics vocabulary effectively? This workshop will focus on specific

More information

School starts at nine o clock. Contents. Language Analysis

School starts at nine o clock. Contents. Language Analysis Year 3 Lesson 22 School starts at nine o clock. Grammar & Functions Aims Talking about daily routine Talking about what time routine activities start What time does school start? At nine o'clock. Contents

More information

Algebra III. Lesson 33. Quadrilaterals Properties of Parallelograms Types of Parallelograms Conditions for Parallelograms - Trapezoids

Algebra III. Lesson 33. Quadrilaterals Properties of Parallelograms Types of Parallelograms Conditions for Parallelograms - Trapezoids Algebra III Lesson 33 Quadrilaterals Properties of Parallelograms Types of Parallelograms Conditions for Parallelograms - Trapezoids Quadrilaterals What is a quadrilateral? Quad means? 4 Lateral means?

More information

Building Concepts: Dividing a Fraction by a Whole Number

Building Concepts: Dividing a Fraction by a Whole Number Lesson Overview This TI-Nspire lesson uses a unit square to explore division of a unit fraction and a fraction in general by a whole number. The concept of dividing a quantity by a whole number, n, can

More information

39 Symmetry of Plane Figures

39 Symmetry of Plane Figures 39 Symmetry of Plane Figures In this section, we are interested in the symmetric properties of plane figures. By a symmetry of a plane figure we mean a motion of the plane that moves the figure so that

More information

Determine whether the following lines intersect, are parallel, or skew. L 1 : x = 6t y = 1 + 9t z = 3t. x = 1 + 2s y = 4 3s z = s

Determine whether the following lines intersect, are parallel, or skew. L 1 : x = 6t y = 1 + 9t z = 3t. x = 1 + 2s y = 4 3s z = s Homework Solutions 5/20 10.5.17 Determine whether the following lines intersect, are parallel, or skew. L 1 : L 2 : x = 6t y = 1 + 9t z = 3t x = 1 + 2s y = 4 3s z = s A vector parallel to L 1 is 6, 9,

More information

1. I have 4 sides. My opposite sides are equal. I have 4 right angles. Which shape am I?

1. I have 4 sides. My opposite sides are equal. I have 4 right angles. Which shape am I? Which Shape? This problem gives you the chance to: identify and describe shapes use clues to solve riddles Use shapes A, B, or C to solve the riddles. A B C 1. I have 4 sides. My opposite sides are equal.

More information

Chapter 3.1 Angles. Geometry. Objectives: Define what an angle is. Define the parts of an angle.

Chapter 3.1 Angles. Geometry. Objectives: Define what an angle is. Define the parts of an angle. Chapter 3.1 Angles Define what an angle is. Define the parts of an angle. Recall our definition for a ray. A ray is a line segment with a definite starting point and extends into infinity in only one direction.

More information

7 th Grade Math Foundations for Teaching Unit One: Numbers & Operations Module One: Rational Number s

7 th Grade Math Foundations for Teaching Unit One: Numbers & Operations Module One: Rational Number s Unit One: Numbers & Operations Module One: s Day/Date TEKS Activities and Resources Essential Question Aug 25 Aug 26 Aug 27 Aug 28 Aug 29 (SS) (SS) (SS) (SS) - First Day Procedures - Math Class Student

More information

Geometry and Measurement

Geometry and Measurement The student will be able to: Geometry and Measurement 1. Demonstrate an understanding of the principles of geometry and measurement and operations using measurements Use the US system of measurement for

More information

Geometry Module 4 Unit 2 Practice Exam

Geometry Module 4 Unit 2 Practice Exam Name: Class: Date: ID: A Geometry Module 4 Unit 2 Practice Exam Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Which diagram shows the most useful positioning

More information

NEW MEXICO Grade 6 MATHEMATICS STANDARDS

NEW MEXICO Grade 6 MATHEMATICS STANDARDS PROCESS STANDARDS To help New Mexico students achieve the Content Standards enumerated below, teachers are encouraged to base instruction on the following Process Standards: Problem Solving Build new mathematical

More information

SGS4.3 Stage 4 Space & Geometry Part A Activity 2-4

SGS4.3 Stage 4 Space & Geometry Part A Activity 2-4 SGS4.3 Stage 4 Space & Geometry Part A Activity 2-4 Exploring triangles Resources required: Each pair students will need: 1 container (eg. a rectangular plastic takeaway container) 5 long pipe cleaners

More information

Level 1 - Maths Targets TARGETS. With support, I can show my work using objects or pictures 12. I can order numbers to 10 3

Level 1 - Maths Targets TARGETS. With support, I can show my work using objects or pictures 12. I can order numbers to 10 3 Ma Data Hling: Interpreting Processing representing Ma Shape, space measures: position shape Written Mental method s Operations relationship s between them Fractio ns Number s the Ma1 Using Str Levels

More information

Math 531, Exam 1 Information.

Math 531, Exam 1 Information. Math 531, Exam 1 Information. 9/21/11, LC 310, 9:05-9:55. Exam 1 will be based on: Sections 1A - 1F. The corresponding assigned homework problems (see http://www.math.sc.edu/ boylan/sccourses/531fa11/531.html)

More information

Lesson 3.1 Duplicating Segments and Angles

Lesson 3.1 Duplicating Segments and Angles Lesson 3.1 Duplicating Segments and ngles In Exercises 1 3, use the segments and angles below. Q R S 1. Using only a compass and straightedge, duplicate each segment and angle. There is an arc in each

More information

Lyman Memorial High School. Pre-Calculus Prerequisite Packet. Name:

Lyman Memorial High School. Pre-Calculus Prerequisite Packet. Name: Lyman Memorial High School Pre-Calculus Prerequisite Packet Name: Dear Pre-Calculus Students, Within this packet you will find mathematical concepts and skills covered in Algebra I, II and Geometry. These

More information

ISAT Mathematics Performance Definitions Grade 4

ISAT Mathematics Performance Definitions Grade 4 ISAT Mathematics Performance Definitions Grade 4 EXCEEDS STANDARDS Fourth-grade students whose measured performance exceeds standards are able to identify, read, write, represent, and model whole numbers

More information

12 Surface Area and Volume

12 Surface Area and Volume 12 Surface Area and Volume 12.1 Three-Dimensional Figures 12.2 Surface Areas of Prisms and Cylinders 12.3 Surface Areas of Pyramids and Cones 12.4 Volumes of Prisms and Cylinders 12.5 Volumes of Pyramids

More information

Exploring Tangrams. Goal. You will need scissors and a ruler. At-Home Help. 1. Trace and cut out the 7 tans.

Exploring Tangrams. Goal. You will need scissors and a ruler. At-Home Help. 1. Trace and cut out the 7 tans. HPTER 7 1 Exploring Tangrams Solve tangram puzzles. You will need scissors and a ruler. 1. Trace and cut out the 7 tans. t-home Help tangram is an ancient hinese puzzle. It has the 7 shapes, or tans, shown

More information

One-Inch Graph Paper

One-Inch Graph Paper One-Inch Graph Paper Classroom Strategies Blackline Master II - 1 49 Half-Inch Graph Paper 50 Classroom Strategies Blackline Master II - 2 Two-Centimeter Graph Paper Classroom Strategies Blackline Master

More information

Drawing 3-D Objects in Perspective

Drawing 3-D Objects in Perspective Mathematics Instructional Materials SAS#.1 (one per pair of students) SAS#.2 (one per pair of students) TIS#.1 (transparency) TIS#.2 (transparency) TIS#.3 (Journal prompt) Isometric Dot Paper Isometric

More information

Angle - a figure formed by two rays or two line segments with a common endpoint called the vertex of the angle; angles are measured in degrees

Angle - a figure formed by two rays or two line segments with a common endpoint called the vertex of the angle; angles are measured in degrees Angle - a figure formed by two rays or two line segments with a common endpoint called the vertex of the angle; angles are measured in degrees Apex in a pyramid or cone, the vertex opposite the base; in

More information

GMAT.cz GMAT (Graduate Management Admission Test) Preparation Course Syllabus

GMAT.cz GMAT (Graduate Management Admission Test) Preparation Course Syllabus Lesson Overview of Lesson Plan Key Content Covered Numbers 1&2 An introduction to GMAT. GMAT introduction Handing over Princeton Review Book and GMAT.cz Package DVD from the course book and an insight

More information

Homework #1 Solutions

Homework #1 Solutions Homework #1 Solutions Problems Section 1.1: 8, 10, 12, 14, 16 Section 1.2: 2, 8, 10, 12, 16, 24, 26 Extra Problems #1 and #2 1.1.8. Find f (5) if f (x) = 10x x 2. Solution: Setting x = 5, f (5) = 10(5)

More information

Geometry Notes PERIMETER AND AREA

Geometry Notes PERIMETER AND AREA Perimeter and Area Page 1 of 57 PERIMETER AND AREA Objectives: After completing this section, you should be able to do the following: Calculate the area of given geometric figures. Calculate the perimeter

More information

A + dvancer College Readiness Online Alignment to Florida PERT

A + dvancer College Readiness Online Alignment to Florida PERT A + dvancer College Readiness Online Alignment to Florida PERT Area Objective ID Topic Subject Activity Mathematics Math MPRC1 Equations: Solve linear in one variable College Readiness-Arithmetic Solving

More information

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 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

More information

Cumulative Test. 161 Holt Geometry. Name Date Class

Cumulative Test. 161 Holt Geometry. Name Date Class Choose the best answer. 1. P, W, and K are collinear, and W is between P and K. PW 10x, WK 2x 7, and PW WK 6x 11. What is PK? A 2 C 90 B 6 D 11 2. RM bisects VRQ. If mmrq 2, what is mvrm? F 41 H 9 G 2

More information

Centers of Triangles Learning Task. Unit 3

Centers of Triangles Learning Task. Unit 3 Centers of Triangles Learning Task Unit 3 Course Mathematics I: Algebra, Geometry, Statistics Overview This task provides a guided discovery and investigation of the points of concurrency in triangles.

More information

1. The volume of the object below is 186 cm 3. Calculate the Length of x. (a) 3.1 cm (b) 2.5 cm (c) 1.75 cm (d) 1.25 cm

1. The volume of the object below is 186 cm 3. Calculate the Length of x. (a) 3.1 cm (b) 2.5 cm (c) 1.75 cm (d) 1.25 cm Volume and Surface Area On the provincial exam students will need to use the formulas for volume and surface area of geometric solids to solve problems. These problems will not simply ask, Find the volume

More information

Measure and classify angles. Identify and use congruent angles and the bisector of an angle. big is a degree? One of the first references to the

Measure and classify angles. Identify and use congruent angles and the bisector of an angle. big is a degree? One of the first references to the ngle Measure Vocabulary degree ray opposite rays angle sides vertex interior exterior right angle acute angle obtuse angle angle bisector tudy ip eading Math Opposite rays are also known as a straight

More information

Advanced Math Study Guide

Advanced Math Study Guide Advanced Math Study Guide Topic Finding Triangle Area (Ls. 96) using A=½ bc sin A (uses Law of Sines, Law of Cosines) Law of Cosines, Law of Cosines (Ls. 81, Ls. 72) Finding Area & Perimeters of Regular

More information

Drawing Lines of Symmetry Grade Three

Drawing Lines of Symmetry Grade Three Ohio Standards Connection Geometry and Spatial Sense Benchmark H Identify and describe line and rotational symmetry in two-dimensional shapes and designs. Indicator 4 Draw lines of symmetry to verify symmetrical

More information

Geometry Final Exam Review Worksheet

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.

More information

Number Sense and Operations

Number Sense and Operations Number Sense and Operations representing as they: 6.N.1 6.N.2 6.N.3 6.N.4 6.N.5 6.N.6 6.N.7 6.N.8 6.N.9 6.N.10 6.N.11 6.N.12 6.N.13. 6.N.14 6.N.15 Demonstrate an understanding of positive integer exponents

More information

INTEGRATED SKILLS TEACHER S NOTES

INTEGRATED SKILLS TEACHER S NOTES TEACHER S NOTES INTEGRATED SKILLS TEACHER S NOTES LEVEL: Pre-intermediate AGE: Teenagers / Adults TIME NEEDED: 90 minutes + project LANGUAGE FOCUS: Linking words, understand vocabulary in context, topic

More information

Page 1. 1. How would this block model look from the top?

Page 1. 1. How would this block model look from the top? North arolina Testing Program EOG Grade 7 Math Sample Items Goal 3. How would this block model look from the top? 2. What is the least number of cubes needed to form a three-dimensional figure with the

More information