PENTOMINOS Geometry. Good Luck!
|
|
|
- Augustus Leonard
- 7 years ago
- Views:
Transcription
1 1 PENTOMINOS Geometry Purpose: To place all pieces on the grid Skill: Spatial awareness Players: 2 (or play alone) Direction: Players alternately place a chosen pentomino on the grid (one dimension only). Play continues until one player is unable to make a move. Alternate Ideas: a) place pieces on the board to build desired shapes b) design three dimensional shapes with pentomino pieces ************************************************** Can you build the figures shown on the following pages? HINTS: a) The first figure is actual size - place pieces directly on the page. b) To build the figures on the pages with grids, use the shapes as indicated on the top of each section. Good Luck!
2
3 One possible solution:
4 Use the following patterns to make your own pentominos:
5 Try making the following figures using the shapes shown at the top of the page:
6 Try making the following figures using the shapes shown at the top of the page:
7 Possible solutions for each of the figures: (Note: It took days for us to figure them all out. They're tricky!)
8 Possible solutions for each of the figures: (Note: It took us days to figure them all out. It's hard work!)
9 2 NEWT TESSELATIONS Geometry Purpose: To make a tesselating pattern Skill: Understand the concept of tesselations, and the fact that area remains constant. Directions: 1. Trace hexagon pattern and draw in shaded sections. 2. Carefully letter (a - f) and cut out shaded sections. 3. Tape cut- out sections to matching letter sections. Do not flip! Keep letters face up. Use tiny pieces of tape to join. 4. Trace your pattern in the middle of a sheet of paper. 5. Rotate the pattern so that it fits into the side of the newt already traced, like a puzzle piece. Trace again. 6. Continue rotating and tracing until sheet is filled, even those whose edges extend off the paper. 7. Decorate with eyes, stripes, etc.
10 3 TWO HALVES MAKE A WHOLE Geometry Purpose: To rearrange the two cut shapes to fit into every pattern on this page. Skill: Spatial awareness Directions: Suggestion: Use a timer or a clock to see how long i t takes you. Challenge a friend to beat or match your time.
11 4 MAKING BOXES Geometry Purpose: To make as many patterns as possible for boxes (with tops) Skill: Three dimensional visualization Spatial awareness Directions: 1. Imagine you are a box manufacturer and you want to ship boxes flattened out. How many possible shapes of 6 squares could be folded into a box? 2. Using the square pattern and graph paper, make as many designs as possible. (Trace 6 adjoining squares in a pattern you decide upon.) 3. Cut out your pattern and fold to see if you can make a box of each in order to check your work.
12 5 MAKING A QUILT BLOCK Geometry Purpose: Arrange triangles in a geometric design to create a quilt block Skill: Recognize and design patterns that can be made with congruent triangles Directions: 1. Choose 16 squares of contrasting colors. (8 each of 2 colors) 2. Cut each square diagonally to form 2 triangles 3. Arrange in an interesting pattern 4. When you have decided on a pattern, glue triangles on a piece of paper. Sample: 6
13 FIGURES ON A GEOBOARD Geometry Purpose: Make shapes on a geoboard based on knowledge of angles, triangle, and rectangles Skill: Knowledge of polygons such as parallelograms, rectangles, and triangles. Knowledge of angles. Number of people: Possible to work alone, but working with a partner will help verify results and also will show that there is usually more than one correct answer. Directions: 1. Use geoboards in the classroom OR geoboard sheets provided OR graph paper, using the intersections of lines as the posts on the geoboard. 2. Try making the following: a) triangle with a right angle b) triangle with no right angle c) a house containing right, acute, and obtuse angles. d) a sailboat with no right angles e) a Christmas tree using at least three triangles f) a rocket ship made of rectangles and squares g) a five sided figure h) a parallelogram that is not a rhombus, square, or rectangle. 3. If playing with a partner, make a shape and have your partner copy it. Describe it in geometric terms.
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
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
Making tessellations combines the creativity of an art project with the challenge of solving a puzzle.
Activities Grades 6 8 www.exploratorium.edu/geometryplayground/activities EXPLORING TESSELLATIONS Background: What is a tessellation? A tessellation is any pattern made of repeating shapes that covers
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
Lesson #13 Congruence, Symmetry and Transformations: Translations, Reflections, and Rotations
Math Buddies -Grade 4 13-1 Lesson #13 Congruence, Symmetry and Transformations: Translations, Reflections, and Rotations Goal: Identify congruent and noncongruent figures Recognize the congruence of plane
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
Mathematics Materials for Tomorrow s Teachers
M2T2 E 1 Geometry Mathematics Materials for Tomorrow s Teachers STATE GOAL 9: Use geometric methods to analyze, categorize, and draw conclusions about points, lines, planes, and space. Statement of Purpose:
E XPLORING QUADRILATERALS
E XPLORING QUADRILATERALS E 1 Geometry State Goal 9: Use geometric methods to analyze, categorize and draw conclusions about points, lines, planes and space. Statement of Purpose: The activities in this
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
Grade 3 Geometry and Spatial Sense. Name:
Grade 3 Geometry and Spatial Sense Name: Ontario Mathematics Curriculum Grades 1 to 8, 1997 Strand: Geometry and Spatial Sense Grade: 3 All rights reserved Developed by T. Tasker May be photocopied for
Activities Grades K 2 EXPLORING TESSELLATIONS. Background: What is a tessellation? Part One: Tessellating with One Shape
Activities Grades K 2 www.exploratorium.edu/geometryplayground/activities EXPLORING TESSELLATIONS Background: What is a tessellation? A tessellation is any pattern made of repeating shapes that covers
Volume of Right Prisms Objective To provide experiences with using a formula for the volume of right prisms.
Volume of Right Prisms Objective To provide experiences with using a formula for the volume of right prisms. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game
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
UNIT H1 Angles and Symmetry Activities
UNIT H1 Angles and Symmetry Activities Activities H1.1 Lines of Symmetry H1.2 Rotational and Line Symmetry H1.3 Symmetry of Regular Polygons H1.4 Interior Angles in Polygons Notes and Solutions (1 page)
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
FRACTIONS TANGRAMS WITH. Larry Ecklund
FRACTIONS WITH TANGRAMS Larry Ecklund Table Contents Getting Started 5 Tangram Pieces 9 Tangram Puzzles 10 Geometric Tangram Puzzles 17 Tangram Investigations 23 Parts One 29 More Investigations 37 Problem
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:
Making tessellations combines the creativity of an art project with the challenge of solving a puzzle.
Activities Grades 3 5 www.exploratorium.edu/geometryplayground/activities EXPLORING TESSELLATIONS Background: What is a tessellation? A tessellation is any pattern made of repeating shapes that covers
G3-33 Building Pyramids
G3-33 Building Pyramids Goal: Students will build skeletons of pyramids and describe properties of pyramids. Prior Knowledge Required: Polygons: triangles, quadrilaterals, pentagons, hexagons Vocabulary:
Tessellations. Practice 1 Identifying Tessellations. In each tessellation, color the repeated shape. Example
Name: Chapter Date: Practice 1 Identifying In each tessellation, color the repeated shape. Example 1. 2. 3. Lesson 14.1 Identifying 133 Is each pattern a tessellation of a single repeated shape? Write
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
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
Problem of the Month: Cutting a Cube
Problem of the Month: 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 Core State Standards:
GAP CLOSING. 2D Measurement. Intermediate / Senior Student Book
GAP CLOSING 2D Measurement Intermediate / Senior Student Book 2-D Measurement Diagnostic...3 Areas of Parallelograms, Triangles, and Trapezoids...6 Areas of Composite Shapes...14 Circumferences and Areas
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
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
Third Grade Shapes Up! Grade Level: Third Grade Written by: Jill Pisman, St. Mary s School East Moline, Illinois Length of Unit: Eight Lessons
Third Grade Shapes Up! Grade Level: Third Grade Written by: Jill Pisman, St. Mary s School East Moline, Illinois Length of Unit: Eight Lessons I. ABSTRACT This unit contains lessons that focus on geometric
Circumference Pi Regular polygon. Dates, assignments, and quizzes subject to change without advance notice.
Name: Period GPreAP UNIT 14: PERIMETER AND AREA I can define, identify and illustrate the following terms: Perimeter Area Base Height Diameter Radius Circumference Pi Regular polygon Apothem Composite
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.
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
Chapter 8 Geometry We will discuss following concepts in this chapter.
Mat College Mathematics Updated on Nov 5, 009 Chapter 8 Geometry We will discuss following concepts in this chapter. Two Dimensional Geometry: Straight lines (parallel and perpendicular), Rays, Angles
Escher Style Tessellations
Escher Style Tessellations The delightful designs by M. C. Escher have captured peoples imagination the world over. These are examples of what we will call Escher Style Tessellations, patterns which can
Scope and Sequence KA KB 1A 1B 2A 2B 3A 3B 4A 4B 5A 5B 6A 6B
Scope and Sequence Earlybird Kindergarten, Standards Edition Primary Mathematics, Standards Edition Copyright 2008 [SingaporeMath.com Inc.] The check mark indicates where the topic is first introduced
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
Geometry Unit 6 Areas and Perimeters
Geometry Unit 6 Areas and Perimeters Name Lesson 8.1: Areas of Rectangle (and Square) and Parallelograms How do we measure areas? Area is measured in square units. The type of the square unit you choose
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
1A: Understand numbers, ways of representing numbers, relationships among numbers, and number systems.
NCTM STANDARD 1: Numbers and Operations Kindergarten Grade 2 1A: Understand numbers, ways of representing numbers, relationships among numbers, and number systems. Kindergarten Grade One Grade Two 1. Count
Elizabeth Evans Riverside Elementary 6 th Grade. Teaching Objectives To use tangrams to build figures that have symmetry. To identify line symmetry.
Elizabeth Evans Riverside Elementary 6 th Grade Teaching Objectives To use tangrams to build figures that have symmetry. To identify line symmetry. Instructional Activities (designed for groups of 4) 1.
Minnesota Academic Standards
A Correlation of to the Minnesota Academic Standards Grades K-6 G/M-204 Introduction This document demonstrates the high degree of success students will achieve when using Scott Foresman Addison Wesley
CBA Fractions Student Sheet 1
Student Sheet 1 1. If 3 people share 12 cookies equally, how many cookies does each person get? 2. Four people want to share 5 cakes equally. Show how much each person gets. Student Sheet 2 1. The candy
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.
Objective To guide exploration of the connection between reflections and line symmetry. Assessment Management
Line Symmetry Objective To guide exploration of the connection between reflections and line symmetry. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family
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
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
Three-Dimensional Figures or Space Figures. Rectangular Prism Cylinder Cone Sphere. Two-Dimensional Figures or Plane Figures
SHAPE NAMES Three-Dimensional Figures or Space Figures Rectangular Prism Cylinder Cone Sphere Two-Dimensional Figures or Plane Figures Square Rectangle Triangle Circle Name each shape. [triangle] [cone]
Glow-in-the-Dark Geometry
The Big Idea Glow-in-the-Dark Geometry This week you ll make geometric shapes out of glow sticks. The kids will try all sizes and shapes of triangles and quadrilaterials, then lay out sticks in mystical
Warning! Construction Zone: Building Solids from Nets
Brief Overview: Warning! Construction Zone: Building Solids from Nets In this unit the students will be examining and defining attributes of solids and their nets. The students will be expected to have
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
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,
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
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
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
Transformations Worksheet. How many units and in which direction were the x-coordinates of parallelogram ABCD moved? C. D.
Name: ate: 1. Parallelogram ABC was translated to parallelogram A B C. 2. A shape is shown below. Which shows this shape transformed by a flip? A. B. How many units and in which direction were the x-coordinates
Geometric Transformations Grade Four
Ohio Standards Connection Geometry and Spatial Sense Benchmark I Describe, identify and model reflections, rotations and translations, using physical materials. Indicator 7 Identify, describe and use reflections
Area of Parallelograms (pages 546 549)
A Area of Parallelograms (pages 546 549) A parallelogram is a quadrilateral with two pairs of parallel sides. The base is any one of the sides and the height is the shortest distance (the length of a perpendicular
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
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
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,
Fractions In Action! Dawn Jesse
Fractions In Action! Dawn Jesse Fractions In Action Dawn Jesse Fractions In Action is an interactive activity that consists of direct instruction, cooperative learning and is inquire based. As the students
Everyday Mathematics CCSS EDITION CCSS EDITION. Content Strand: Number and Numeration
CCSS EDITION Overview of -6 Grade-Level Goals CCSS EDITION Content Strand: Number and Numeration Program Goal: Understand the Meanings, Uses, and Representations of Numbers Content Thread: Rote Counting
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
Everyday Mathematics GOALS
Copyright Wright Group/McGraw-Hill GOALS The following tables list the Grade-Level Goals organized by Content Strand and Program Goal. Content Strand: NUMBER AND NUMERATION Program Goal: Understand the
Notes ~ 1. Frank Tapson 2004 [trolxp:2]
![Notes ~ 1. Frank Tapson 2004 [trolxp:2]](/thumbs/40/21105847.jpg "Notes ~ 1. Frank Tapson 2004 [trolxp:2]")
Pentominoes 8901234 8901234 8901234 8901234 8901234 8901234 8901234 8901234 8901234 8901234 8901234 8901234 8901234 8901234 8901234 8901234 8901234 8901234 8901234 8901234 8901234 8901234 8901234 8901234
STRAND: Number and Operations Algebra Geometry Measurement Data Analysis and Probability STANDARD:
how August/September Demonstrate an understanding of the place-value structure of the base-ten number system by; (a) counting with understanding and recognizing how many in sets of objects up to 50, (b)
Making a Triangle Twist Foundation in EQ5
Making a Triangle Twist Foundation in EQ5 This lesson is a result of a challenge on the Info-EQ mailing list to create a foundation to use to make Bonnie Browning's Twisted Log Cabin quilt as seen on HGTV's
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,
2.1. Inductive Reasoning EXAMPLE A
CONDENSED LESSON 2.1 Inductive Reasoning In this lesson you will Learn how inductive reasoning is used in science and mathematics Use inductive reasoning to make conjectures about sequences of numbers
Pictures from Our Vacation
Each book title has matching grade appropriate activities to help your child master skills tested on the CRCT. Simply click on a title, choose an activity and enjoy a learning experience with your child.
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
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
MAKE A CLOCK ART POSTER: 4 O CLOCK CLOCK REFLECTION
MAKE A CLOCK ART POSTER: 4 O CLOCK CLOCK REFLECTION 1. First: Practice drawing vertically or horizontally reflected patterns a. Draw these reflected patterns across the vertical lines: over this line over
Volume of Pyramids and Cones
Volume of Pyramids and Cones Objective To provide experiences with investigating the relationships between the volumes of geometric solids. www.everydaymathonline.com epresentations etoolkit Algorithms
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
Illinois State Standards Alignments Grades Three through Eleven
Illinois State Standards Alignments Grades Three through Eleven Trademark of Renaissance Learning, Inc., and its subsidiaries, registered, common law, or pending registration in the United States and other
then unfold line 1 line 2 line 3
Chapter 18 Symmetry Symmetry is of interest in art and design in general and in the study of molecules, for example. This chapter begins with a look at two types of symmetry of 2-dimensional shapes, and
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
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
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.
1st Grade Math Standard I Rubric. Number Sense. Score 4 Students show proficiency with numbers beyond 100.
1st Grade Math Standard I Rubric Number Sense Students show proficiency with numbers beyond 100. Students will demonstrate an understanding of number sense by: --counting, reading, and writing whole numbers
Progressions for the Common Core State Standards in Mathematics (draft)
Progressions for the Common Core State Standards in Mathematics (draft) cthe Common Core Standards Writing Team 23 June 2012 1 K 6, Geometry Overview Like core knowledge of number, core geometrical knowledge
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
Unit 5 Area. What Is Area?
Trainer/Instructor Notes: Area What Is Area? Unit 5 Area What Is Area? Overview: Objective: Participants determine the area of a rectangle by counting the number of square units needed to cover the region.
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
EVERY DAY COUNTS CALENDAR MATH 2005 correlated to
EVERY DAY COUNTS CALENDAR MATH 2005 correlated to Illinois Mathematics Assessment Framework Grades 3-5 E D U C A T I O N G R O U P A Houghton Mifflin Company YOUR ILLINOIS GREAT SOURCE REPRESENTATIVES:
Session 5 Dissections and Proof
Key Terms for This Session Session 5 Dissections and Proof Previously Introduced midline parallelogram quadrilateral rectangle side-angle-side (SAS) congruence square trapezoid vertex New in This Session
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
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,
Grade 3 FCAT 2.0 Mathematics Sample Answers
Grade FCAT 2.0 Mathematics Sample Answers This booklet contains the answers to the FCAT 2.0 Mathematics sample questions, as well as explanations for the answers. It also gives the Next Generation Sunshine
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
/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
Geometry of Minerals
Geometry of Minerals Objectives Students will connect geometry and science Students will study 2 and 3 dimensional shapes Students will recognize numerical relationships and write algebraic expressions
GAP CLOSING. 2D Measurement GAP CLOSING. Intermeditate / Senior Facilitator s Guide. 2D Measurement
GAP CLOSING 2D Measurement GAP CLOSING 2D Measurement Intermeditate / Senior Facilitator s Guide 2-D Measurement Diagnostic...4 Administer the diagnostic...4 Using diagnostic results to personalize interventions...4
Tessellating with Regular Polygons
Tessellating with Regular Polygons You ve probably seen a floor tiled with square tiles. Squares make good tiles because they can cover a surface without any gaps or overlapping. This kind of tiling is
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
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
MATHEMATICS Y6 Geometry 6750 Use co-ordinates and extend to 4 quadrants Equipment MathSphere www.mathsphere.co.uk
MATHEMATICS Y6 Geometry 675 Use co-ordinates and etend to quadrants Paper, pencil, ruler Equipment MathSphere 675 Use co-ordinates and etend to quadrants. Page Concepts Children should be familiar with
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
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
Basic Understandings
Activity: TEKS: Exploring Transformations Basic understandings. (5) Tools for geometric thinking. Techniques for working with spatial figures and their properties are essential to understanding underlying
How to fold simple shapes from A4 paper
How to fold simple shapes from 4 paper ndrew Jobbings www.arbelos.co.uk 18 February 2012 ontents Introduction 1 Square 2 Equilateral triangle 3 Rhombus 5 Regular hexagon 6 Kite 7 Why do the methods work?