Geometry and Spatial Reasoning


 Chad Freeman
 1 years ago
 Views:
Transcription
1 Mathematics TEKS Refinement Tarleton State University Geometry and Spatial Reasoning Activity: TEKS: Creating Venn Diagrams with Quadrilaterals (6.6) Geometry and spatial reasoning. The student uses geometric vocabulary to describe angles, polygons, and circles. (A) use angle measurements to classify angles as acute, obtuse, or right; (B) identify relationships involving angles in triangles and quadrilaterals; (6.10) Probability and statistics. The student uses statistical representations to analyze data. (D) solve problems by collecting, organizing, displaying, and interpreting data. (6.11) Underlying processes and mathematical tools. The student applies Grade 6 mathematics to solve problems connected to everyday experiences, investigations in other disciplines, and activities in and outside of school. (D) select tools such as real objects, manipulatives, paper/pencil, and technology or techniques such as mental math, estimation, and number sense to solve problems. (6.13) Underlying processes and mathematical tools. The student uses logical reasoning to make conjectures and verify conclusions. (B) validate his/her conclusions using mathematical properties and relationships. Measurement Connection: (6.8) Measurement. The student solves application problems involving estimation and measurement of length, area, time, temperature, volume, weight, and angles. (B) select and use appropriate units, tools, or formulas to measure and to solve problems involving length (including perimeter), area, time, temperature, volume, and weight; (C) measure angles; Overview: Students will construct Venn diagrams according to given attributes of quadrilaterals and use rulers and protractors to justify placement on the Venn diagrams. Creating Venn Diagrams With Quadrilaterals Page 1
2 Mathematics TEKS Refinement Tarleton State University Materials: Grouping: Time: Chart paper 1 polygon sheet per task assigned Scissors Glue Rulers Protractors Overhead of polygon sheet 34 students per group 60 minutes Lesson: Procedures 1. (5 minutes) Have students cut out the polygons from backline master #1. 2. (20 minutes) Write these attributes on the board: Task 1: At least one right angle No acute angles Task 2: Opposite sides congruent, At least two pairs of adjacent sides congruent Place the appropriate quadrilateral pieces in groups according to the attributes given. Glue them in place. Students must use all nine of the quadrilateral pieces 3. (1015 minutes) Justify placement by measuring the angle measures and length of sides. Students will write the measures directly on the polygons. A summary statement/paragraph must be written by each group member supporting the placements. Notes Have students give definitions of the following: right, acute, and obtuse angles; adjacent; congruent. Briefly discuss with students how groups may be formed by having a few students place an example on the overhead of 2 polygons that could be grouped together according to the attribute of having an acute angle and no parallel sides. Discuss how the groups will be shown by drawing circles and placing the shapes in the appropriate circles. Ask students to consider what to do when a shape will fit into more than one circle. Allow them to come up with suggestions on how to show membership in more than one group. What happens when there is a polygon that fits neither attribute? Where may we put it? It must be shown on the chart paper. Watch for misreading of the protractor. Have students measure side lengths in cm units. Creating Venn Diagrams With Quadrilaterals Page 2
3 Mathematics TEKS Refinement Tarleton State University Procedures 4. (10 minutes) Post the Venn diagrams about the room. Students conduct a Gallery Walk to compare the results. Notes As they walk (57 minutes), they must take notes where there are answers with which they may not agree. Students reconvene in their groups (about 5 minutes) to discuss their findings. Give students an opportunity to revise/edit their Venn diagram if there is a need. Conduct a brief discussion using some of the student comments as they reconvene. 5. (3 minutes) Student Reflection: What did you find to be challenging? Is there any thing that is still not clear? What did you like most about this activity? Homework: Assessment: Extensions: Provide additional attributes and have students construct Venn diagrams by drawing the pictures of the appropriate polygons. Use the Gallery Walk results as well as the Venn diagrams 1. Students create additional attributes for the Venn diagram rings with and without overlap as well as having to place a polygon on the outside of the rings. Attributes to be used must include comparisons of lengths of sides, angle measures, and adjacent angle or side comparisons. 2. Use backline master #2 for additional practice. Students must have a ruler to determine the lengths of the sides since these shapes are not drawn on a grid. 3. Use backline master #3, triangles instead of quadrilaterals. Provide students with attributes according to angle measures and/or relationship among the sides. For example, one label may read contains right angles while the other label reads two sides congruent. Students must use rules and protractors to justify placements according to side lengths and angle measures. Creating Venn Diagrams With Quadrilaterals Page 3
4 Mathematics TEKS Refinement Tarleton State University Blackline Master Creating Venn Diagrams With Quadrilaterals Page 4
5 Mathematics TEKS Refinement Tarleton State University Blackline Master 2 Creating Venn Diagrams With Quadrilaterals Page 5
6 Mathematics TEKS Refinement Tarleton State University Blackline Master Creating Venn Diagrams With Quadrilaterals Page 6
Constructing Symmetrical Shapes
07NEM5WBAnsCH07 7/20/04 4:36 PM Page 62 1 Constructing Symmetrical Shapes 1 Construct 2D shapes with one line of symmetry A line of symmetry may be horizontal or vertical 2 a) Use symmetry to complete
More informationClassifying 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 informationProperties 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 informationNEW 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 informationInvestigating Quadrilaterals Grade Four
Ohio Standards Connection Geometry and Spatial Sense Benchmark A Provide rationale for groupings and comparisons of twodimensional figures and threedimensional objects. Indicator 3 Identify similarities
More informationHandsOn Mini Lab. Step 2 Pick one vertex and draw a segment to the opposite vertex. The angles of a quadrilateral have a special relationship.
107 Quadrilaterals MAIN IDEA I will classify quadrilaterals and find missing angle measures in quadrilaterals. New Vocabulary quadrilateral rectangle square ogram trapezoid HandsOn Mini Lab The figure
More information*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 informationVocabulary 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 informationEstimating 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 informationLESSON PLAN #1: Discover a Relationship
LESSON PLAN #1: Discover a Relationship Name Alessandro Sarra Date 4/14/03 Content Area Math A Unit Topic Coordinate Geometry Today s Lesson Sum of the Interior Angles of a Polygon Grade Level 9 NYS Mathematics,
More informationUnit 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 informationUnit 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 informationGreater Nanticoke Area School District Math Standards: Grade 6
Greater Nanticoke Area School District Math Standards: Grade 6 Standard 2.1 Numbers, Number Systems and Number Relationships CS2.1.8A. Represent and use numbers in equivalent forms 43. Recognize place
More informationE 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
More informationBasic 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
More informationQuadrilaterals Properties of a parallelogram, a rectangle, a rhombus, a square, and a trapezoid
Quadrilaterals Properties of a parallelogram, a rectangle, a rhombus, a square, and a trapezoid Grade level: 10 Prerequisite knowledge: Students have studied triangle congruences, perpendicular lines,
More information3.1. Angle Pairs. What s Your Angle? Angle Pairs. ACTIVITY 3.1 Investigative. Activity Focus Measuring angles Angle pairs
SUGGESTED LEARNING STRATEGIES: Think/Pair/Share, Use Manipulatives Two rays with a common endpoint form an angle. The common endpoint is called the vertex. You can use a protractor to draw and measure
More informationA Correlation of Pearson Texas Geometry Digital, 2015
A Correlation of Pearson Texas Geometry Digital, 2015 To the Texas Essential Knowledge and Skills (TEKS) for Geometry, High School, and the Texas English Language Proficiency Standards (ELPS) Correlations
More informationGeometry 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 informationCurriculum Map by Block Geometry Mapping for Math Block Testing 20072008. August 20 to August 24 Review concepts from previous grades.
Curriculum Map by Geometry Mapping for Math Testing 20072008 Pre s 1 August 20 to August 24 Review concepts from previous grades. August 27 to September 28 (Assessment to be completed by September 28)
More informationRepTiles Mela Hardin
RepTiles Mela Hardin Introduction & Background In this activity, we want students to discover and explore algebraic expressions through a special kind of tiling of the plane. This activity is geared towards
More informationUnit Essential Question: When do we need standard symbols, operations, and rules in mathematics? (CAIU)
Page 1 Whole Numbers Unit Essential : When do we need standard symbols, operations, and rules in mathematics? (CAIU) M6.A.3.2.1 Whole Number Operations Dividing with one digit (showing three forms of answers)
More informationSurface Area and Volume
1 Area Surface Area and Volume 8 th Grade 10 days by Jackie GerwitzDunn 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 informationExploring Mathematics Through ProblemSolving and Student Voice
Exploring Mathematics Through ProblemSolving and Student Voice Created By: Lisa Bolduc, Aileen BurkeTsakmakas, Shelby Monaco, Antonietta Scalzo Contributions By: Churchill Public School Professional
More informationConvert between units of area and determine the scale factor of two similar figures.
CHAPTER 5 Units of Area c GOAL Convert between units of area and determine the scale factor of two. You will need a ruler centimetre grid paper a protractor a calculator Learn about the Math The area of
More informationVolume 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
More informationNumber and Numeracy SE/TE: 43, 49, 140145, 367369, 457, 459, 479
Ohio Proficiency Test for Mathematics, New Graduation Test, (Grade 10) Mathematics Competencies Competency in mathematics includes understanding of mathematical concepts, facility with mathematical skills,
More informationThis is a tentative schedule, date may change. Please be sure to write down homework assignments daily.
Mon Tue Wed Thu Fri Aug 26 Aug 27 Aug 28 Aug 29 Aug 30 Introductions, Expectations, Course Outline and Carnegie Review summer packet Topic: (11) Points, Lines, & Planes Topic: (12) Segment Measure Quiz
More informationGrade 3 Core Standard III Assessment
Grade 3 Core Standard III Assessment Geometry and Measurement Name: Date: 3.3.1 Identify right angles in twodimensional shapes and determine if angles are greater than or less than a right angle (obtuse
More informationMATHS LEVEL DESCRIPTORS
MATHS LEVEL DESCRIPTORS Number Level 3 Understand the place value of numbers up to thousands. Order numbers up to 9999. Round numbers to the nearest 10 or 100. Understand the number line below zero, and
More informationSimilar Triangles Grade Seven
Ohio Standards Connection Geometry and Spatial Sense Benchmark E Use proportions to express relationships among corresponding parts of similar figures. Indicator 1 Use proportional reasoning to describe
More informationDiscovering 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 informationPrentice Hall: Middle School Math, Course 1 2002 Correlated to: New York Mathematics Learning Standards (Intermediate)
New York Mathematics Learning Standards (Intermediate) Mathematical Reasoning Key Idea: Students use MATHEMATICAL REASONING to analyze mathematical situations, make conjectures, gather evidence, and construct
More informationUsing Nets to Find Surface Area Grade Eight
Ohio Standards Connection: Geometry and Spatial Sense Benchmark E Draw and construct representations of two and threedimensional geometric objects using a variety of tools, such as straightedge, compass,
More information4th Grade Math Homework Based on the Utah State Core Standards and Objective
4th Grade Math Homework Based on the Utah State Core Standards and Objective 4th Grade Math Homework (Standards Based) created by Lara Dean Over the years I have recognized the need for a homework program
More informationChapter 1: Essentials of Geometry
Section Section Title 1.1 Identify Points, Lines, and Planes 1.2 Use Segments and Congruence 1.3 Use Midpoint and Distance Formulas Chapter 1: Essentials of Geometry Learning Targets I Can 1. Identify,
More informationThird 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
More informationKnowing and Using Number Facts
Knowing and Using Number Facts Use knowledge of place value and Use knowledge of place value and addition and subtraction of twodigit multiplication facts to 10 10 to numbers to derive sums and derive
More informationMathematics Task Arcs
Overview of Mathematics Task Arcs: Mathematics Task Arcs A task arc is a set of related lessons which consists of eight tasks and their associated lesson guides. The lessons are focused on a small number
More informationUnit 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 informationLevel 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 informationWORK 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 informationGlencoe. correlated to SOUTH CAROLINA MATH CURRICULUM STANDARDS GRADE 6 33, 58 84, 87 16, 49
Glencoe correlated to SOUTH CAROLINA MATH CURRICULUM STANDARDS GRADE 6 STANDARDS 68 Number and Operations (NO) Standard I. Understand numbers, ways of representing numbers, relationships among numbers,
More informationLesson #13 Congruence, Symmetry and Transformations: Translations, Reflections, and Rotations
Math Buddies Grade 4 131 Lesson #13 Congruence, Symmetry and Transformations: Translations, Reflections, and Rotations Goal: Identify congruent and noncongruent figures Recognize the congruence of plane
More informationRound Rock ISD Lesson 1 Grade 3 Measurement Kit. Broken Rulers and Line It Up!*  A Length Measurement Lesson
Round Rock ISD 200809 Lesson 1 Grade 3 Measurement Kit Broken Rulers and Line It Up!*  A Length Measurement Lesson tech *Lesson is adapted from two activities in Sizing Up Measurement: Activities for
More informationEVERY DAY COUNTS CALENDAR MATH 2005 correlated to
EVERY DAY COUNTS CALENDAR MATH 2005 correlated to Illinois Mathematics Assessment Framework Grades 35 E D U C A T I O N G R O U P A Houghton Mifflin Company YOUR ILLINOIS GREAT SOURCE REPRESENTATIVES:
More informationTeaching Guidelines. Knowledge and Skills: Can specify defining characteristics of common polygons
CIRCLE FOLDING Teaching Guidelines Subject: Mathematics Topics: Geometry (Circles, Polygons) Grades: 46 Concepts: Property Diameter Radius Chord Perimeter Area Knowledge and Skills: Can specify defining
More informationMath, Grades 13 TEKS and TAKS Alignment
111.13. Mathematics, Grade 1. 111.14. Mathematics, Grade 2. 111.15. Mathematics, Grade 3. (a) Introduction. (1) Within a wellbalanced mathematics curriculum, the primary focal points are adding and subtracting
More informationProblem 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 informationGeometry 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 informationGeometry. 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 informationArea, Perimeter, Surface Area and Change Overview
Area, Perimeter, Surface Area and Change Overview Enduring Understanding: (5)ME01: Demonstrate understanding of the concept of area (5)ME02: Demonstrate understanding of the differences between length
More informationMath syllabus Kindergarten 1
Math syllabus Kindergarten 1 Number strand: Count forward and backwards to 10 Identify numbers to 10 on a number line Use ordinal numbers first (1 st ) to fifth (5 th ) correctly Recognize and play with
More informationSGS4.3 Stage 4 Space & Geometry Part A Activity 24
SGS4.3 Stage 4 Space & Geometry Part A Activity 24 Exploring triangles Resources required: Each pair students will need: 1 container (eg. a rectangular plastic takeaway container) 5 long pipe cleaners
More informationAlgebra 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 informationCarroll County Public Schools Elementary Mathematics Instructional Guide (5 th Grade) AugustSeptember (12 days) Unit #1 : Geometry
Carroll County Public Schools Elementary Mathematics Instructional Guide (5 th Grade) Common Core and Research from the CCSS Progression Documents Geometry Students learn to analyze and relate categories
More informationPrentice Hall Mathematics: Course 1 2008 Correlated to: Arizona Academic Standards for Mathematics (Grades 6)
PO 1. Express fractions as ratios, comparing two whole numbers (e.g., ¾ is equivalent to 3:4 and 3 to 4). Strand 1: Number Sense and Operations Every student should understand and use all concepts and
More informationCharlesworth School Year Group Maths Targets
Charlesworth School Year Group Maths Targets Year One Maths Target Sheet Key Statement KS1 Maths Targets (Expected) These skills must be secure to move beyond expected. I can compare, describe and solve
More informationGeometry Chapter 2: Geometric Reasoning Lesson 1: Using Inductive Reasoning to Make Conjectures Inductive Reasoning:
Geometry Chapter 2: Geometric Reasoning Lesson 1: Using Inductive Reasoning to Make Conjectures Inductive Reasoning: Conjecture: Advantages: can draw conclusions from limited information helps us to organize
More informationRules of angles (7 9)
Rules of angles (7 9) Contents asic rules of angles Angles in parallel lines (7 9) 3 Angles in polygons (year 9) 4 3. The central angle in a regular polygon...................... 4 3. The exterior angle
More informationWarning! 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
More informationGrade 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 informationGeometry Progress Ladder
Geometry Progress Ladder Maths Makes Sense Foundation Endofyear objectives page 2 Maths Makes Sense 1 2 Endofblock objectives page 3 Maths Makes Sense 3 4 Endofblock objectives page 4 Maths Makes
More informationGeometry Solve real life and mathematical problems involving angle measure, area, surface area and volume.
Performance Assessment Task Pizza Crusts Grade 7 This task challenges a student to calculate area and perimeters of squares and rectangles and find circumference and area of a circle. Students must find
More informationNew York State Mathematics Content Strands, Grade 6, Correlated to Glencoe MathScape, Course 1 and Quick Review Math Handbook Book 1
New York State Mathematics Content Strands, Grade 6, Correlated to Glencoe MathScape, Course 1 and The lessons that address each Performance Indicator are listed, and those in which the Performance Indicator
More informationGeometric 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
More information1A: 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
More informationGrade 6 Angle size. Required closetoathand prior knowledge: Knowing what angles look like. Understanding what a rotation is.
Grade 6 Angle size 6.SS.1 Demonstrate an understanding of angles by identifying examples of angles in the environment classifying angles according to their measure estimating the measure of angles using
More informationCOORDINATE GEOMETRY AND TRANSFORMATIONS
COORDINATE GEOMETRY AND TRANSFORMATIONS i 2 t 2 Final Project 5Day Unit Plan 8 th Grade Math Lab Helen Roseler December 1, 2003 1 Preface Math Lab is an additional math class designed to deliver Academic
More informationInscribed 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 informationKS3 Maths Learning Objectives (excludes Year 9 extension objectives)
KS3 Maths Learning Objectives (excludes Year 9 extension objectives) blue Year 7 black Year 8 green Year 9 NUMBER N1 Place value and standard form N1.1 Place value N1.2 Powers of ten Framework Objectives
More informationCurrent Standard: Mathematical Concepts and Applications Shape, Space, and Measurement Primary
Shape, Space, and Measurement Primary A student shall apply concepts of shape, space, and measurement to solve problems involving two and threedimensional shapes by demonstrating an understanding of:
More informationLateral and Surface Area of Right Prisms
CHAPTER A Lateral and Surface Area of Right Prisms c GOAL Calculate lateral area and surface area of right prisms. You will need a ruler a calculator Learn about the Math A prism is a polyhedron (solid
More informationQuadrilaterals 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 informationDrawing 3D 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 informationKey Stage 2 Mathematics Programme of Study
Deeloping numerical reasoning Identify processes and connections Represent and communicate Reiew transfer mathematical to a ariety of contexts and eeryday situations identify the appropriate steps and
More informationProbability and Statistics
Probability and Statistics Activity: TEKS: Your Average Joe (6.10) Probability and statistics. The student uses statistical representations to analyze data. The student is expected to: (B) identify mean
More informationVocabulary, Signs, & Symbols product dividend divisor quotient fact family inverse. Assessment. Envision Math Topic 1
1st 9 Weeks Pacing Guide Fourth Grade Math Common Core State Standards Objective/Skill (DOK) I Can Statements (Knowledge & Skills) Curriculum Materials & Resources/Comments 4.OA.1 4.1i Interpret a multiplication
More informationLevel 1. AfL Questions for assessing Strand Five : Understanding Shape. NC Level Objectives AfL questions from RF
AfL Questions for assessing Strand Five : Understanding Shape NC Level Objectives AfL questions from RF Level 1 I can use language such as circle or bigger to describe the shape and size of solids and
More informationSession 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 informationProblems using a square 9pin geoboard
Problems using a square 9pin geoboard The 9pin 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 informationGeometry Course Summary Department: Math. Semester 1
Geometry Course Summary Department: Math Semester 1 Learning Objective #1 Geometry Basics Targets to Meet Learning Objective #1 Use inductive reasoning to make conclusions about mathematical patterns Give
More informationISAT Mathematics Performance Definitions Grade 4
ISAT Mathematics Performance Definitions Grade 4 EXCEEDS STANDARDS Fourthgrade students whose measured performance exceeds standards are able to identify, read, write, represent, and model whole numbers
More informationHonors Geometry Final Exam Study Guide
20112012 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 informationArea of Parallelograms and Triangles
Context: Grade 7 Mathematics. Area of Parallelograms and Triangles Objective: The student shall derive the formulas for the area of the triangle and the parallelogram and apply these formulas to determine
More informationG E O M E T R Y CHAPTER 9 RIGHT TRIANGLES AND TRIGONOMETRY. Notes & Study Guide
G E O M E T R Y CHAPTER 9 RIGHT TRIANGLES AND TRIGONOMETRY Notes & Study Guide 2 TABLE OF CONTENTS SIMILAR RIGHT TRIANGLES... 3 THE PYTHAGOREAN THEOREM... 4 SPECIAL RIGHT TRIANGLES... 5 TRIGONOMETRIC RATIOS...
More informationPythagorean Theorem Differentiated Instruction for Use in an Inclusion Classroom
Pythagorean Theorem Differentiated Instruction for Use in an Inclusion Classroom Grade Level: Seven Time Span: Four Days Tools: Calculators, The Proofs of Pythagoras, GSP, Internet Colleen Parker Objectives
More informationUnit 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 informationDear 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, twodimensional figures and solid, threedimensional
More informationBuilding a Bridge to Academic Vocabulary in Mathematics
Building a Bridge to Academic Vocabulary in Mathematics AISD Elementary Mathematics Department How Students Develop a Repertoire of Academic English in Mathematics Developed and researched by the AISD
More informationIllinois 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
More informationSum of the interior angles of a nsided Polygon = (n2) 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 nsided Polygon = (n2) 180 What you need to know: How to use the formula
More informationLesson 6: Polygons and Angles
Lesson 6: Polygons and Angles Selected Content Standards Benchmark Assessed: G.4 Using inductive reasoning to predict, discover, and apply geometric properties and relationships (e.g., patty paper constructions,
More informationGeometry Chapter 1. 1.1 Point (pt) 1.1 Coplanar (1.1) 1.1 Space (1.1) 1.2 Line Segment (seg) 1.2 Measure of a Segment
Geometry Chapter 1 Section Term 1.1 Point (pt) Definition A location. It is drawn as a dot, and named with a capital letter. It has no shape or size. undefined term 1.1 Line A line is made up of points
More informationPocantico Hills School District Grade 1 Math Curriculum Draft
Pocantico Hills School District Grade 1 Math Curriculum Draft Patterns /Number Sense/Statistics Content Strands: Performance Indicators 1.A.1 Determine and discuss patterns in arithmetic (what comes next
More informationQ1. Here is a flag. Calculate the area of the shaded cross. Q2. The diagram shows a rightangled triangle inside a circle.
Q1. Here is a flag. Calculate the area of the shaded cross. 2 marks Q2. The diagram shows a rightangled triangle inside a circle. The circle has a radius of 5 centimetres. Calculate the area of the triangle.
More informationPerformance 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 informationSituation: Proving Quadrilaterals in the Coordinate Plane
Situation: Proving Quadrilaterals in the Coordinate Plane 1 Prepared at the University of Georgia EMAT 6500 Date Last Revised: 07/31/013 Michael Ferra Prompt A teacher in a high school Coordinate Algebra
More informationEveryday Mathematics. Grade 4 GradeLevel Goals CCSS EDITION. Content Strand: Number and Numeration. Program Goal Content Thread GradeLevel Goal
Content Strand: Number and Numeration Understand the Meanings, Uses, and Representations of Numbers Understand Equivalent Names for Numbers Understand Common Numerical Relations Place value and notation
More informationGeometry Chapter 9 Extending Perimeter, Circumference, and Area
Geometry Chapter 9 Extending Perimeter, Circumference, and Area Lesson 1 Developing Formulas for Triangles and Quadrilaterals Learning Targets LT91: Solve problems involving the perimeter and area of
More information