11.2 Triangles. Unlock the Problem. Math Talk Math Talk. Essential Question. Name. Module

Save this PDF as:
 WORD  PNG  TXT  JPG

Size: px
Start display at page:

Download "11.2 Triangles. Unlock the Problem. Math Talk Math Talk. Essential Question. Name. Module"

Transcription

1 ? Name 11.2 Triangles Essential Question How can you classify triangles? Geometry and Measurement 5.5. MTHEMTIL PROESSES 5.1.F, 5.1.G Unlock the Problem If you look closely at Epcot enter s Spaceship Earth building in Orlando, Florida, you may see a pattern of triangles. The triangle outlined in the pattern at the right has 3 congruent sides and 3 acute angles. What type of triangle is outlined? omplete the sentence that describes each type of triangle. lassify triangles by the lengths of their sides. lassify triangles by the measures of their angles. n equilateral triangle has _ congruent sides. right triangle has one 90, or angle n isosceles triangle has _ congruent sides. 2 in. n acute triangle has 3 angles scalene triangle has _ congruent sides. 5 in. 4 in. n obtuse triangle has 1 angle Houghton Mifflin Harcourt Publishing ompany The type of triangle outlined in the pattern can be classified by the length of its sides as an triangle. The triangle can also be classified by the measures of its angles as an triangle. Math Talk Math Talk Is an equilateral triangle also a regular polygon? Explain. Module

2 ctivity Hands lassify triangle by the lengths of its sides and by the measures of its angles. On Materials centimeter ruler protractor STEP 1 Measure the sides of the triangle using a centimeter ruler. Label each side with its length. lassify the triangle by the lengths of its sides. What type of triangle has 3 sides of different lengths? What is an angle called that is greater than 90º and less than 180º? STEP 2 Measure the angles of the triangle using a protractor. Label each angle with its measure. lassify the triangle by the measures of its angles. Triangle is a triangle. Try This! raw the type of triangle described by the lengths of its sides and by the measures of its angles. Scalene Triangle by Length of Sides Isosceles Triangle by ngle Measure Obtuse cute 416 Think: I need to draw a triangle that is acute and scalene. Math Talk an you draw a triangle that is right equilateral? Explain. Houghton Mifflin Harcourt Publishing ompany

3 Name Share and Show lassify each triangle. Write isosceles, scalene, or equilateral. Then write acute, obtuse, or right ft 51 9 ft ft cm 29 Problem Solving 4. an you tell that a triangle is obtuse, right, or acute without measuring the angles? Explain. 5. Multi-Step raw 2 equilateral triangles that are congruent and share a side. What polygon is formed? Is it a regular polygon? Houghton Mifflin Harcourt Publishing ompany Image redits: (br) Wim Wiskerke/lamy; (bl) rthur Tilley/Open oor Images/Jupiterimages/Getty Images Problem Solving 6. nalyze Shannon said that a triangle with exactly 2 congruent sides and an obtuse angle is an equilateral obtuse triangle. escribe her error. lassify the triangles in the structures below. Write isosceles, scalene, or equilateral. Then write acute, obtuse, or right Module 11 Lesson 2 417

4 aily ssessment Task Fill in the bubble completely to show your answer. 9. Ricky drew a triangle with angles measuring 90, 30, and 60, and no congruent sides. Which of these describes the triangle? isosceles right equilateral obtuse scalene acute scalene right 10. Which of these triangles is isosceles and obtuse? 11. Multi-Step Jenna drew this triangle, and then drew the dotted line down the center. What type of triangle did she draw first? What triangles resulted from the dotted line? right; two scalene obtuse triangles equilateral; two right triangles scalene right; two right triangles 6 cm 6 cm 3 cm 3 cm 6 cm isosceles acute; two equilateral triangles TEXS Test Prep 12. Which kind of triangle has exactly 2 congruent sides? isosceles equilateral scalene right 418 Houghton Mifflin Harcourt Publishing ompany

5 Homework and Practice Name Geometry and Measurement 5.5. MTHEMTIL PROESSES 5.1.F, 5.1.G 11.2 Triangles lassify each triangle. Write isosceles, scalene, or equilateral. Then write acute, obtuse, or right ircle the figure that does not belong. Explain. 7. Houghton Mifflin Harcourt Publishing ompany Problem Solving 8. Parker drew a triangle with no congruent sides and a 95 angle. lassify the triangle by the lengths of its sides and measures of its angles. Explain. Module 11 Lesson 2 419

6 Lesson heck Fill in the bubble completely to show your answer. 9. Lindsay draws a right triangle and adds the measures of the right angle and one acute angle. Which is a possible sum of the two angles? TEXS Test Prep 10. Which of these triangles is isosceles and acute? Which kind of triangle has 3 congruent sides? right isosceles equilateral scalene 12. Which of the following is another way to classify a scalene triangle with one angle greater than 90? acute obtuse right equilateral 13. Multi-Step Mrs. ennett has a rug that is an equilateral triangle with a perimeter of 12 feet. Which could be the lengths of the sides of the rug? 14. Multi-Step Nathan cut a square tile in half for his kitchen floor design. He made one cut along a diagonal from one vertex to another vertex. Which triangles resulted from the cut? 4 ft, 4 ft, 4 ft two scalene right triangles 5 ft, 5 ft, 2 ft two isosceles obtuse triangles ft, 3 ft, 3 ft 3 ft, 4 ft, 5 ft two isosceles right triangles two equilateral right triangles Houghton Mifflin Harcourt Publishing ompany

12.3. Model Perimeter Formulas. Unlock the Problem. Essential Question. Name

12.3. Model Perimeter Formulas. Unlock the Problem. Essential Question. Name ? Name 12.3 Essential Question Model Perimeter Formulas How can you use a formula to find the perimeter of a rectangle? lgebraic Reasoning 4.5., 4.5. MTHEMTIL PROESSES 4.1., 4.1.F Unlock the Problem Julio

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

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

*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

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

16.4. Multiply and Divide Money. Example 1 Mrs. Cleary wants to buy books for. Example 2 Mrs. Cleary paid $584 for 8 cases of a popular

16.4. Multiply and Divide Money. Example 1 Mrs. Cleary wants to buy books for. Example 2 Mrs. Cleary paid $584 for 8 cases of a popular ? Name 16.4 Essential Question Multiply and ivide Money How can you use multiplication and division in problems involving money? Geometry and Measurement 4.8. MTHEMTIL PROESSES 4.1., 4.1., 4.1.G Unlock

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

15.6. Metric Units of Length. Investigate. Materials ruler (meter) scissors tape. A. Cut out the meterstick strips.

15.6. Metric Units of Length. Investigate. Materials ruler (meter) scissors tape. A. Cut out the meterstick strips. Name 15.6? Essential Question Metric Units of Length How can you convert metric units of length? Geometry and Measurement 4.8., 4.8. lso 4.8. MTHEMTIL PROESSES 4.1., 4.1., 4.1.F Investigate Materials ruler

More information

What are the advantages and disadvantages of different savings options?

What are the advantages and disadvantages of different savings options? ? Name 18.3 Essential Question Savings Options What are the advantages and disadvantages of different savings options? Personal Financial Literacy 4.10. lso 4.4. MTHEMTIL PROESSES 4.1., 4.1.F People save

More information

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. 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

More information

Constructing Symmetrical Shapes

Constructing Symmetrical Shapes 07-NEM5-WBAns-CH07 7/20/04 4:36 PM Page 62 1 Constructing Symmetrical Shapes 1 Construct 2-D shapes with one line of symmetry A line of symmetry may be horizontal or vertical 2 a) Use symmetry to complete

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

Hands-On Mini Lab. Step 2 Pick one vertex and draw a segment to the opposite vertex. The angles of a quadrilateral have a special relationship.

Hands-On Mini Lab. Step 2 Pick one vertex and draw a segment to the opposite vertex. The angles of a quadrilateral have a special relationship. 10-7 Quadrilaterals MAIN IDEA I will classify quadrilaterals and find missing angle measures in quadrilaterals. New Vocabulary quadrilateral rectangle square ogram trapezoid Hands-On Mini Lab The figure

More information

2. Construct the 3 medians, 3 altitudes, 3 perpendicular bisectors, and 3 angle bisector for each type of triangle

2. Construct the 3 medians, 3 altitudes, 3 perpendicular bisectors, and 3 angle bisector for each type of triangle Using a compass and straight edge (ruler) construct the angle bisectors, perpendicular bisectors, altitudes, and medians for 4 different triangles; a, Isosceles Triangle, Scalene Triangle, and an. The

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

GEOMETRY FINAL EXAM REVIEW

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.

More information

Sum of the interior angles of a n-sided Polygon = (n-2) 180

Sum of the interior angles of a n-sided Polygon = (n-2) 180 5.1 Interior angles of a polygon Sides 3 4 5 6 n Number of Triangles 1 Sum of interiorangles 180 Sum of the interior angles of a n-sided Polygon = (n-2) 180 What you need to know: How to use the formula

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

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

Vocabulary List Geometry Altitude- the perpendicular distance from the vertex to the opposite side of the figure (base)

Vocabulary List Geometry Altitude- the perpendicular distance from the vertex to the opposite side of the figure (base) GEOMETRY Vocabulary List Geometry Altitude- the perpendicular distance from the vertex to the opposite side of the figure (base) Face- one of the polygons of a solid figure Diagonal- a line segment that

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

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

1.7 Find Perimeter, Circumference,

1.7 Find Perimeter, Circumference, .7 Find Perimeter, Circumference, and rea Goal p Find dimensions of polygons. Your Notes FORMULS FOR PERIMETER P, RE, ND CIRCUMFERENCE C Square Rectangle side length s length l and width w P 5 P 5 s 5

More information

Triangles can be classified by angles and sides. Write a good definition of each term and provide a sketch: Classify triangles by angles:

Triangles can be classified by angles and sides. Write a good definition of each term and provide a sketch: Classify triangles by angles: Chapter 4: Congruent Triangles A. 4-1 Classifying Triangles Identify and classify triangles by angles. Identify and classify triangles by sides. Triangles appear often in construction. Roofs sit atop a

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 Review. Here are some formulas and concepts that you will need to review before working on the practice exam.

Geometry Review. Here are some formulas and concepts that you will need to review before working on the practice exam. Geometry Review Here are some formulas and concepts that you will need to review before working on the practice eam. Triangles o Perimeter or the distance around the triangle is found by adding all of

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

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

Special Segments in Triangles

Special Segments in Triangles HPTER 10 Special Segments in Triangles c GOL Identify the altitudes, medians, and angle bisectors in a triangle. You will need a protractor a ruler Learn about the Math Every triangle has three bases and

More information

Grade 4 - Module 4: Angle Measure and Plane Figures

Grade 4 - Module 4: Angle Measure and Plane Figures Grade 4 - Module 4: Angle Measure and Plane Figures Acute angle (angle with a measure of less than 90 degrees) Angle (union of two different rays sharing a common vertex) Complementary angles (two angles

More information

14.2. Degrees. Example 1 Use fractional parts to find. Unlock the Problem. Math Talk. Essential Question. Name

14.2. Degrees. Example 1 Use fractional parts to find. Unlock the Problem. Math Talk. Essential Question. Name ? Name. Essential Question Degrees How are degrees related to fractional parts of a circle? Geometry and Measurement.7.B Also.7.A MATHEMATICAL PROCESSES..A,..F,..G Connect You can use what you know about

More information

Overview of Geometry Map Project

Overview of Geometry Map Project Overview of Geometry Map Project The goal: To demonstrate your understanding of geometric vocabulary, you will be designing and drawing a town map that incorporates many geometric key terms. The project

More information

Date: Period: Symmetry

Date: Period: Symmetry Name: Date: Period: Symmetry 1) Line Symmetry: A line of symmetry not only cuts a figure in, it creates a mirror image. In order to determine if a figure has line symmetry, a figure can be divided into

More information

Geometry Progress Ladder

Geometry Progress Ladder Geometry Progress Ladder Maths Makes Sense Foundation End-of-year objectives page 2 Maths Makes Sense 1 2 End-of-block objectives page 3 Maths Makes Sense 3 4 End-of-block objectives page 4 Maths Makes

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

3. Donny wants to put carpet on the floor of his tree house. 1. How many of these tiles are needed to cover an area of 108 square inches? 3 in.

3. Donny wants to put carpet on the floor of his tree house. 1. How many of these tiles are needed to cover an area of 108 square inches? 3 in. North arolina Testing Program EOG Mathematics Grade 5 Sample Items Goal 2 1. How many of these tiles are needed to cover an area of 108 square inches? 3 in. 3. onny wants to put carpet on the floor of

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

Unit 6 Grade 7 Geometry

Unit 6 Grade 7 Geometry Unit 6 Grade 7 Geometry Lesson Outline BIG PICTURE Students will: investigate geometric properties of triangles, quadrilaterals, and prisms; develop an understanding of similarity and congruence. Day Lesson

More information

A convex polygon is a polygon such that no line containing a side of the polygon will contain a point in the interior of the polygon.

A convex polygon is a polygon such that no line containing a side of the polygon will contain a point in the interior of the polygon. hapter 7 Polygons A polygon can be described by two conditions: 1. No two segments with a common endpoint are collinear. 2. Each segment intersects exactly two other segments, but only on the endpoints.

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

Honors Geometry Final Exam Study Guide

Honors Geometry Final Exam Study Guide 2011-2012 Honors Geometry Final Exam Study Guide Multiple Choice Identify the choice that best completes the statement or answers the question. 1. In each pair of triangles, parts are congruent as marked.

More information

Name: Chapter 4 Guided Notes: Congruent Triangles. Chapter Start Date: Chapter End Date: Test Day/Date: Geometry Fall Semester

Name: Chapter 4 Guided Notes: Congruent Triangles. Chapter Start Date: Chapter End Date: Test Day/Date: Geometry Fall Semester Name: Chapter 4 Guided Notes: Congruent Triangles Chapter Start Date: Chapter End Date: Test Day/Date: Geometry Fall Semester CH. 4 Guided Notes, page 2 4.1 Apply Triangle Sum Properties triangle polygon

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

Cut out a design. Do not cut down the fold line.

Cut out a design. Do not cut down the fold line. Symmetry esson 8 Fold a piece of paper in half. ut out a design. o not cut down the fold line. Unfold the cut out design. You have just made a symmetric figure. symmetric figure can be folded so that both

More information

Lesson 1.1 Building Blocks of Geometry

Lesson 1.1 Building Blocks of Geometry Lesson 1.1 Building Blocks of Geometry For Exercises 1 7, complete each statement. S 3 cm. 1. The midpoint of Q is. N S Q 2. NQ. 3. nother name for NS is. 4. S is the of SQ. 5. is the midpoint of. 6. NS.

More information

Properties of Polygons Objective To explore the geometric properties of polygons.

Properties of Polygons Objective To explore the geometric properties of polygons. Properties of Polygons Objective To explore the geometric properties of polygons. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family Letters Assessment

More information

Angle Vocabulary, Complementary & Supplementary Angles

Angle Vocabulary, Complementary & Supplementary Angles ngle Vocabulary, omplementary & Supplementary ngles Review 1 1. What is the definition of an acute angle? 2. Name the angle shown. 3. What is the definition of complimentary angles? 4. What is the definition

More information

Pre-Algebra Interactive Chalkboard Copyright by The McGraw-Hill Companies, Inc. Send all inquiries to:

Pre-Algebra Interactive Chalkboard Copyright by The McGraw-Hill Companies, Inc. Send all inquiries to: Pre-Algebra Interactive Chalkboard Copyright by The McGraw-Hill Companies, Inc. Send all inquiries to: GLENCOE DIVISION Glencoe/McGraw-Hill 8787 Orion Place Columbus, Ohio 43240 Click the mouse button

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

8.2 Angle Bisectors of Triangles

8.2 Angle Bisectors of Triangles Name lass Date 8.2 ngle isectors of Triangles Essential uestion: How can you use angle bisectors to find the point that is equidistant from all the sides of a triangle? Explore Investigating Distance from

More information

Session 4 Angle Measurement

Session 4 Angle Measurement Key Terms in This Session Session 4 Angle Measurement New in This Session acute angle adjacent angles central angle complementary angles congruent angles exterior angle interior (vertex) angle irregular

More information

3. If AC = 12, CD = 9 and BE = 3, find the area of trapezoid BCDE. (Mathcounts Handbooks)

3. If AC = 12, CD = 9 and BE = 3, find the area of trapezoid BCDE. (Mathcounts Handbooks) EXERCISES: Triangles 1 1. The perimeter of an equilateral triangle is units. How many units are in the length 27 of one side? (Mathcounts Competitions) 2. In the figure shown, AC = 4, CE = 5, DE = 3, and

More information

Duplicating Segments and Angles

Duplicating Segments and Angles CONDENSED LESSON 3.1 Duplicating Segments and ngles In this lesson, you Learn what it means to create a geometric construction Duplicate a segment by using a straightedge and a compass and by using patty

More information

Unit 8 Geometry QUADRILATERALS. NAME Period

Unit 8 Geometry QUADRILATERALS. NAME Period Unit 8 Geometry QUADRILATERALS NAME Period 1 A little background Polygon is the generic term for a closed figure with any number of sides. Depending on the number, the first part of the word Poly is replaced

More information

Line Segments, Rays, and Lines

Line Segments, Rays, and Lines HOME LINK Line Segments, Rays, and Lines Family Note Help your child match each name below with the correct drawing of a line, ray, or line segment. Then observe as your child uses a straightedge to draw

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

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Santa Monica College COMPASS Geometry Sample Test MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the area of the shaded region. 1) 5 yd 6 yd

More information

Chapter 5.1 and 5.2 Triangles

Chapter 5.1 and 5.2 Triangles Chapter 5.1 and 5.2 Triangles Students will classify triangles. Students will define and use the Angle Sum Theorem. A triangle is formed when three non-collinear points are connected by segments. Each

More information

(n = # of sides) One interior angle:

(n = # of sides) One interior angle: 6.1 What is a Polygon? Regular Polygon- Polygon Formulas: (n = # of sides) One interior angle: 180(n 2) n Sum of the interior angles of a polygon = 180 (n - 2) Sum of the exterior angles of a polygon =

More information

TEKS TAKS 2010 STAAR RELEASED ITEM STAAR MODIFIED RELEASED ITEM

TEKS TAKS 2010 STAAR RELEASED ITEM STAAR MODIFIED RELEASED ITEM 7 th Grade Math TAKS-STAAR-STAAR-M Comparison Spacing has been deleted and graphics minimized to fit table. (1) Number, operation, and quantitative reasoning. The student represents and uses numbers in

More information

Angle Relationships in Parallel Lines and Triangles?

Angle Relationships in Parallel Lines and Triangles? ngle Relationships in Parallel Lines and Triangles? MOUL 11 LSSON 11.1 Parallel Lines ut by a Transversal OMMON OR SSNTIL QUSTION How can you use angle relationships in parallel lines and triangles to

More information

Teaching Guidelines. Knowledge and Skills: Can specify defining characteristics of common polygons

Teaching Guidelines. Knowledge and Skills: Can specify defining characteristics of common polygons CIRCLE FOLDING Teaching Guidelines Subject: Mathematics Topics: Geometry (Circles, Polygons) Grades: 4-6 Concepts: Property Diameter Radius Chord Perimeter Area Knowledge and Skills: Can specify defining

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

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

Topics Covered on Geometry Placement Exam

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

More information

Term and Definition Draw It Read It Write It Intersecting lines are lines in a H. JK intersect at plane that cross at exactly one point.

Term and Definition Draw It Read It Write It Intersecting lines are lines in a H. JK intersect at plane that cross at exactly one point. Name Parallel Lines and Perpendicular Lines Essential Question How can you identify and draw parallel lines and perpendicular lines? Lesson 10.3 Geometry 4.G.A.1 MATHEMATIAL PRATIES MP4, MP5, MP6 Unlock

More information

All about those Triangles and Circles

All about those Triangles and Circles All about those Triangles and Circles 1BUTYPES OF TRIANGLES Triangle - A three-sided polygon. The sum of the angles of a triangle is 180 degrees. Isosceles Triangle - A triangle having two sides of equal

More information

Unit 7: Right Triangles and Trigonometry Lesson 7.1 Use Inequalities in a Triangle Lesson 5.5 from textbook

Unit 7: Right Triangles and Trigonometry Lesson 7.1 Use Inequalities in a Triangle Lesson 5.5 from textbook Unit 7: Right Triangles and Trigonometry Lesson 7.1 Use Inequalities in a Triangle Lesson 5.5 from textbook Objectives Use the triangle measurements to decide which side is longest and which angle is largest.

More information

Problems using a square 9-pin geoboard

Problems using a square 9-pin geoboard Problems using a square 9-pin geoboard The 9-pin geoboard can be used with learners of all ages, from making and talking about shapes with younger pupils to working out the intersecting area of two overlapping

More information

Geometric Relationships

Geometric Relationships Geometric Relationships 8 Lines and ngles 8-1 8-3 8-4 LB Building Blocks of Geometry Measuring and Classifying ngles ngle Relationships Classifying Lines Parallel Line Relationships 8B Polygons LB 8-5

More information

Geometry Chapter 5 Relationships Within Triangles

Geometry Chapter 5 Relationships Within Triangles Objectives: Section 5.1 Section 5.2 Section 5.3 Section 5.4 Section 5.5 To use properties of midsegments to solve problems. To use properties of perpendicular bisectors and angle bisectors. To identify

More information

Lesson 7: Drawing Parallelograms

Lesson 7: Drawing Parallelograms Student Outcomes Students use a protractor, ruler, and setsquare to draw parallelograms based on given conditions. Lesson Notes In Lesson 6, students drew a series of figures (e.g., complementary angles,

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

Warm Up #23: Review of Circles 1.) A central angle of a circle is an angle with its vertex at the of the circle. Example:

Warm Up #23: Review of Circles 1.) A central angle of a circle is an angle with its vertex at the of the circle. Example: Geometr hapter 12 Notes - 1 - Warm Up #23: Review of ircles 1.) central angle of a circle is an angle with its verte at the of the circle. Eample: X 80 2.) n arc is a section of a circle. Eamples:, 3.)

More information

How Do You Measure a Triangle? Examples

How Do You Measure a Triangle? Examples How Do You Measure a Triangle? Examples 1. A triangle is a three-sided polygon. A polygon is a closed figure in a plane that is made up of segments called sides that intersect only at their endpoints,

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

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

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:

More information

Math Common Core Standards Fourth Grade

Math Common Core Standards Fourth Grade Operations and Algebraic Thinking (OA) Use the four operations with whole numbers to solve problems. OA.4.1 Interpret a multiplication equation as a comparison, e.g., interpret 35 = 5 7 as a statement

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

Surface Area and Volume

Surface Area and Volume 1 Area Surface Area and Volume 8 th Grade 10 days by Jackie Gerwitz-Dunn and Linda Kelly 2 What do you want the students to understand at the end of this lesson? The students should be able to distinguish

More information

Perimeter, Area, and Volume

Perimeter, Area, and Volume Perimeter is a measurement of length. It is the distance around something. We use perimeter when building a fence around a yard or any place that needs to be enclosed. In that case, we would measure the

More information

Intermediate Math Circles October 10, 2012 Geometry I: Angles

Intermediate Math Circles October 10, 2012 Geometry I: Angles Intermediate Math Circles October 10, 2012 Geometry I: Angles Over the next four weeks, we will look at several geometry topics. Some of the topics may be familiar to you while others, for most of you,

More information

2 Jean bought a bottle of juice and got 67 in change. Which group of coins shows this amount?

2 Jean bought a bottle of juice and got 67 in change. Which group of coins shows this amount? Name: ate: 1 What is the longest river listed in the chart? Ganges Pechora Magdalena Snake 2 Jean bought a bottle of juice and got 67 in change. Which group of coins shows this amount? opyright Pearson

More information

Unit 2 - Triangles. Equilateral Triangles

Unit 2 - Triangles. Equilateral Triangles Equilateral Triangles Unit 2 - Triangles Equilateral Triangles Overview: Objective: In this activity participants discover properties of equilateral triangles using properties of symmetry. TExES Mathematics

More information

Activities Grades 3 5 ROTATING STRING SHAPES. Make multi-sided shapes with string. [45 minutes]

Activities Grades 3 5 ROTATING STRING SHAPES. Make multi-sided shapes with string. [45 minutes] Activities Grades 3 5 www.exploratorium.edu/geometryplayground/activities ROTATING STRING SHAPES Make multi-sided shapes with string. [45 minutes] Materials: String, about 2.5 meters (8 feet) long, tied

More information

Solids. Objective A: Volume of a Solids

Solids. Objective A: Volume of a Solids Solids Math00 Objective A: Volume of a Solids Geometric solids are figures in space. Five common geometric solids are the rectangular solid, the sphere, the cylinder, the cone and the pyramid. A rectangular

More information

The Inscribed Angle Alternate A Tangent Angle

The Inscribed Angle Alternate A Tangent Angle Student Outcomes Students use the inscribed angle theorem to prove other theorems in its family (different angle and arc configurations and an arc intercepted by an angle at least one of whose rays is

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

2006 Geometry Form A Page 1

2006 Geometry Form A Page 1 2006 Geometry Form Page 1 1. he hypotenuse of a right triangle is 12" long, and one of the acute angles measures 30 degrees. he length of the shorter leg must be: () 4 3 inches () 6 3 inches () 5 inches

More information

100 Math Facts 6 th Grade

100 Math Facts 6 th Grade 100 Math Facts 6 th Grade Name 1. SUM: What is the answer to an addition problem called? (N. 2.1) 2. DIFFERENCE: What is the answer to a subtraction problem called? (N. 2.1) 3. PRODUCT: What is the answer

More information

Problem of the Month: William s Polygons

Problem of the Month: William s Polygons Problem of the Month: William s Polygons The Problems of the Month (POM) are used in a variety of ways to promote problem solving and to foster the first standard of mathematical practice from the Common

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

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

Exploring Mathematics Through Problem-Solving and Student Voice

Exploring Mathematics Through Problem-Solving and Student Voice Exploring Mathematics Through Problem-Solving and Student Voice Created By: Lisa Bolduc, Aileen Burke-Tsakmakas, Shelby Monaco, Antonietta Scalzo Contributions By: Churchill Public School Professional

More information

Course 2 Summer Packet For students entering 8th grade in the fall

Course 2 Summer Packet For students entering 8th grade in the fall Course 2 Summer Packet For students entering 8th grade in the fall The summer packet is comprised of important topics upcoming eighth graders should know upon entering math in the fall. Please use your

More information

Chapter 3. Chapter 3 Opener. Section 3.1. Big Ideas Math Blue Worked-Out Solutions. Try It Yourself (p. 101) So, the value of x is 112.

Chapter 3. Chapter 3 Opener. Section 3.1. Big Ideas Math Blue Worked-Out Solutions. Try It Yourself (p. 101) So, the value of x is 112. Chapter 3 Opener Try It Yourself (p. 101) 1. The angles are vertical. x + 8 120 x 112 o, the value of x is 112. 2. The angles are adjacent. ( x ) + 3 + 43 90 x + 46 90 x 44 o, the value of x is 44. 3.

More information

CHAPTER 8: ACUTE TRIANGLE TRIGONOMETRY

CHAPTER 8: ACUTE TRIANGLE TRIGONOMETRY CHAPTER 8: ACUTE TRIANGLE TRIGONOMETRY Specific Expectations Addressed in the Chapter Explore the development of the sine law within acute triangles (e.g., use dynamic geometry software to determine that

More information

Inscribed Angle Theorem and Its Applications

Inscribed Angle Theorem and Its Applications : Student Outcomes Prove the inscribed angle theorem: The measure of a central angle is twice the measure of any inscribed angle that intercepts the same arc as the central angle. Recognize and use different

More information

Grade 4 Unit 3: Multiplication and Division; Number Sentences and Algebra

Grade 4 Unit 3: Multiplication and Division; Number Sentences and Algebra Grade 4 Unit 3: Multiplication and Division; Number Sentences and Algebra Activity Lesson 3-1 What s My Rule? page 159) Everyday Mathematics Goal for Mathematical Practice GMP 2.2 Explain the meanings

More information

Areas of Rectangles and Parallelograms

Areas of Rectangles and Parallelograms CONDENSED LESSON 8.1 Areas of Rectangles and Parallelograms In this lesson you will Review the formula for the area of a rectangle Use the area formula for rectangles to find areas of other shapes Discover

More information

The Triangle and its Properties

The Triangle and its Properties THE TRINGLE ND ITS PROPERTIES 113 The Triangle and its Properties Chapter 6 6.1 INTRODUCTION triangle, you have seen, is a simple closed curve made of three line segments. It has three vertices, three

More information