Exploring the Pathways to Culture Session 7. Geometry. AMI/USA Refresher Course

Size: px
Start display at page:

Download "Exploring the Pathways to Culture Session 7. Geometry. AMI/USA Refresher Course"

Transcription

1 Geometry AMI/USA Refresher Course

2 What is Geometry? its definition cannot be condensed into just one sentence it is definitely associated with mathematics and has a specific language it has lasted more than 4000 years and keeps on going it is a knowledge accumulated by humanity during centuries geometry is an irreducible component of culture Geometry is a part of humanity! AMI/USA Refresher Course

3 Geometry in the Casa Environment is presented to the child to aid in the observation of his/her world the structure of everything in nature has shape, basic symmetry and a geometric form once the child is shown the shape and then given the name he/she will see it in everything shapes in faces, buildings, food, architecture, clothing, animals, Geometry geometry is used daily by almost everyone in geometry, one explores spatial sense and geometric reasoning geometry is found everywhere: in art, architecture, engineering, robotics, land surveys, astronomy, sculptures, space, nature, sports, machines, cars and much more Studying geometry provides many foundational skills and helps to build the thinking skills of logic, deductive reasoning, analytical reasoning and problem solving to name just a few. AMI/USA Refresher Course

4 AMI/USA Refresher Course

5 How does a snowflake get its shape? The shape of snowflakes is influenced by the temperature and humidity of the atmosphere. Snowflakes form in the atmosphere when cold water droplets freeze onto dust particles. Depending on the temperature and humidity of the air where the snowflakes form, the resulting ice crystals will grow into a myriad of different shapes. AMI/USA Refresher Course

6 This is where our casa children exist with that information! AMI/USA Refresher Course

7 Sand sand is a sedimentary material loose grains of worn out and disintegrated rocks sand is of fine granules with grains ranging between 0.06 and 2.0 mm in diameter sand is a naturally occurring fragmented material comprised of tiny particles of decomposed rocks, shells, or corals AMI/USA Refresher Course

8 Geometry - where shall we put it? Practical Life: folding cloths, making mitts, ironing, sewing on a button Sensorial: Roman Arch, constructive triangles, small metal insets, geometry of music Language: Reading Analysis through shape, size and colour AMI/USA Refresher Course

9 Shapes Geometry Cabinet Tracing Matching the positive (inset) to the negative (frame) Three Period Lessons Work with the Geometric Form Cards: filled-in, thick-outlined, thin-outlined Games Shapes Geometric Solids stereognostic experience discovering relationships between the solids Three Period Lessons child driven classification: curvilinear or rectilinear discovering relationships between the solid forms and the plane figures games AMI/USA Refresher Course

10 Shapes Constructive Triangles Rectangular Box A Rectangular Box B Triangular Box Large Hexagonal Box Small Hexagonal Box Design Box Classified Cards Definition Sets: parts of a triangle Shapes Graded Geometric Figures Small Metal Insets Roman Arch AMI/USA Refresher Course

11 When our little children fold cloths, geometry magically appears. AMI/USA Refresher Course

12 The young girl discriminating different sizes, shapes and colours is building the table of Pythagoras. The table of Pythagoras is an invention of Pythagoras. It is a formula that facilitates multiplication. In language, order, function and meaning matter so to in math. Jack made his dad a birthday present. made. dad his Jack present birthday likewise (1 + 8) = 80 is not the same as = (1) AMI/USA Refresher Course

13 AMI/USA Refresher Course

Correlation of Ontario Mathematics 2005 Curriculum to. Addison Wesley Mathematics Makes Sense

Correlation of Ontario Mathematics 2005 Curriculum to. Addison Wesley Mathematics Makes Sense Correlation of Ontario Mathematics 2005 Curriculum to Addison Wesley Math Makes Sense 2 Number Sense and Numeration Overall Expectations By the end of Grade 2, students will: read, represent, compare,

More information

Geometry. Professor Harms Minnesota State University Moorhead Feb. 24 th, 2014

Geometry. Professor Harms Minnesota State University Moorhead Feb. 24 th, 2014 Geometry Professor Harms Minnesota State University Moorhead Feb. 24 th, 2014 Engaging those Calvins in your class The van Hiele model of thinking in Geometry The student recognizes, names, compares and

More information

Correlation of Ontario Mathematics 2005 Curriculum to. Addison Wesley Mathematics Makes Sense

Correlation of Ontario Mathematics 2005 Curriculum to. Addison Wesley Mathematics Makes Sense Correlation of Ontario Mathematics 2005 Curriculum to Addison Wesley Math Makes Sense 3 Number Sense and Numeration Overall Expectations By the end of Grade 3, students will: read, represent, compare,

More information

Table of Contents. Introduction to the Math Practice Series...1

Table of Contents. Introduction to the Math Practice Series...1 Table of Contents Table of Contents Introduction to the Math Practice Series...1 Common Mathematics/Geometry Symbols and Terms...2 Chapter 1: Introduction To Geometry...13 Shapes, Congruence, Similarity,

More information

Key Learning for Grade 3

Key Learning for Grade 3 Key Learning for Grade 3 The Ontario Curriculum: Mathematics (2005) Number Sense and Numeration Read, represent, compare and order whole numbers to 1000, and use concrete materials to investigate fractions

More information

Roswell Independent School District Grade Level Targets Summer 2010

Roswell Independent School District Grade Level Targets Summer 2010 1 NM Standards Children s Progress Core Standards Target: Possesses a working knowledge of the base ten number system, including ones and tens. Q1 Counts, sketches and represents some numbers. Q2 Counts,

More information

2 nd Grade Math Learning Targets. Algebra:

2 nd Grade Math Learning Targets. Algebra: 2 nd Grade Math Learning Targets Algebra: 2.A.2.1 Students are able to use concepts of equal to, greater than, and less than to compare numbers (0-100). - I can explain what equal to means. (2.A.2.1) I

More information

Geometry Activity. LESSON: Fractal Snowflakes Formation GRADE: 4 OBJECTIVES:

Geometry Activity. LESSON: Fractal Snowflakes Formation GRADE: 4 OBJECTIVES: LESSON: Fractal Snowflakes Formation OBJECTIVES: GRADE: 4 Mathematics Geometry- Draw and identify lines and angles, and classify shapes by properties of their lines and angles. 4.G.A.1 Draw points, lines,

More information

TABLE OF CONTENTS. Worksheets Lesson 1 Worksheet Introduction to Geometry 41 Lesson 2 Worksheet Naming Plane and Solid Shapes.. 44

TABLE OF CONTENTS. Worksheets Lesson 1 Worksheet Introduction to Geometry 41 Lesson 2 Worksheet Naming Plane and Solid Shapes.. 44 Acknowledgement: A+ TutorSoft would like to thank all the individuals who helped research, write, develop, edit, and launch our MATH Curriculum products. Countless weeks, years, and months have been devoted

More information

Mathematics Expectations Page 1 Grade 06

Mathematics Expectations Page 1 Grade 06 Mathematics Expectations Page 1 Grade 06 Problem Solving Mathematical Process Expectations 6m1 develop, select, and apply problem-solving strategies as they pose and solve problems and conduct investigations,

More information

Course Overview Course Length Materials Prerequisites Course Outline

Course Overview Course Length Materials Prerequisites Course Outline MTH113: Pre-Algebra Course Overview Course Length Materials Prerequisites Course Outline COURSE OVERVIEW In this course, students take a broader look at computational and problem-solving skills while learning

More information

Sensorial Album Check Sheet

Sensorial Album Check Sheet Album Due: December 9-13, 2013 Resubmissions no later than Wednesday, January 8, 2013 : Final Submission Final Review (name/date): Dir. of Training Check (name/date): Resubmission Notes: All items present?

More information

Grade 9 Applied Assessment of Mathematics

Grade 9 Applied Assessment of Mathematics Grade 9 Applied Assessment of Mathematics 2007-2009 TCDSB, Math Department, 2012 Measurement and Geometry Strand: Overall Expectations, Knowledge and Skills (KU, AP,TH, CO) Q.17 (MC, 2007, winter, expectation:

More information

CORRELATION SUNSHINE STATE STANDARDS & GRADE LEVEL EXPECTATIONS

CORRELATION SUNSHINE STATE STANDARDS & GRADE LEVEL EXPECTATIONS SUBMSSON TTLE: Houghton Mifflin MATH 2005 PUBLSHER: Houghton Mifflin Company STRAND: Number Sense, Concepts, and Operations CORRELATON SUNSHNE STATE STANDARDS & EXPECTATONS STANDARD: Standard 1: The student

More information

Key Learning for Grade 2 The Ontario Curriculum: Mathematics (2005)

Key Learning for Grade 2 The Ontario Curriculum: Mathematics (2005) Key Learning for Grade 2 The Ontario Curriculum: Mathematics (2005) Number Sense and Numeration Read, represent, compare and order whole numbers to 100, and use concrete materials to investigate fractions

More information

Houghton Mifflin Math Expressions Grade 3 correlated to Illinois Mathematics Assessment Framework

Houghton Mifflin Math Expressions Grade 3 correlated to Illinois Mathematics Assessment Framework STATE GOAL 6: NUMBER SENSE Demonstrate and apply a knowledge and sense of numbers, including numeration and operations (addition, subtraction, multiplication, division), patterns, ratios and proportions.

More information

Houghton Mifflin Math Expressions Grade 1 correlated to Illinois Mathematics Assessment Framework

Houghton Mifflin Math Expressions Grade 1 correlated to Illinois Mathematics Assessment Framework STATE GOAL 6: NUMBER SENSE Demonstrate and apply a knowledge and sense of numbers, including numeration and operations (addition, subtraction, multiplication, division), patterns, ratios and proportions.

More information

Houghton Mifflin Math Expressions Grade 2 correlated to Illinois Mathematics Assessment Framework

Houghton Mifflin Math Expressions Grade 2 correlated to Illinois Mathematics Assessment Framework STATE GOAL 6: NUMBER SENSE Demonstrate and apply a knowledge and sense of numbers, including numeration and operations (addition, subtraction, multiplication, division), patterns, ratios and proportions.

More information

Geometry. Course Requirements

Geometry. Course Requirements Geometry Geometry is a full year, high school math course for the student who has successfully completed the prerequisite course, Algebra I. The course focuses on the skills and methods of linear, coordinate,

More information

Sensorial Album Check Sheet

Sensorial Album Check Sheet Montessori Institute Northwest Sensorial Album Check Sheet Album Due: February 1, 2013 Resubmissions Due: June 19, 2013 Student Name: STAFF USE ONLY Initial Check (name/date): Dir. of Training Check (name/date):

More information

The Geometry of Solids

The Geometry of Solids CONDENSED LESSON 10.1 The Geometry of Solids In this lesson you will Learn about polyhedrons, including prisms and pyramids Learn about solids with curved surfaces, including cylinders, cones, and spheres

More information

Properties. Circle of Knowledge

Properties. Circle of Knowledge Properties Title: Circle of Knowledge Type: Lesson Plan Subject: Math Grade Range: 6 Description: Students will find the surface area of 3 dimensional figures by understanding how to draw their nets Duration:

More information

Grade 3. EDM Version 4. Everyday Math: Unit. Measurement and Geometry. Study Guide

Grade 3. EDM Version 4. Everyday Math: Unit. Measurement and Geometry. Study Guide EDM Version 4 Grade 3 Everyday Math: Unit Measurement and Geometry. Study Guide Thank you! Catherine Wiist @ Abc123is4me http://www.teacherspayteachers.com/store/abc123is4me (All new products are discounted

More information

NCTM Strands. NCTM Strands. NCTM Strands. Geometry. Number and Operations Algebra Geometry Measurement Data Analysis & Probability

NCTM Strands. NCTM Strands. NCTM Strands. Geometry. Number and Operations Algebra Geometry Measurement Data Analysis & Probability NCTM Strands NCTM Strands Number and Operations Algebra Measurement Data Analysis & Probability NCTM Strands Number and Operations Algebra Measurement Data Analysis & Probability Strand 3 and properties

More information

Lesson/Unit Plan Name: Platonic Solids Using geometric nets to explore Platonic solids and discovering Euler s formula.

Lesson/Unit Plan Name: Platonic Solids Using geometric nets to explore Platonic solids and discovering Euler s formula. Grade Level/Course: Grade 6 Lesson/Unit Plan Name: Platonic Solids Using geometric nets to explore Platonic solids and discovering Euler s formula. Rationale/Lesson Abstract: An activity where the students

More information

Curriculum Correlation Geometry Cluster 3: Geometric Relationships

Curriculum Correlation Geometry Cluster 3: Geometric Relationships ON Master 19a 20.3 compose pictures, designs, shapes, and patterns, using two-dimensional shapes; predict and explore reflective symmetry in two-dimensional shapes (e.g., visualize and predict what will

More information

5 Applications of Definite Integrals

5 Applications of Definite Integrals 5 Applications of Definite Integrals The previous chapter introduced the concepts of a definite integral as an area and as a limit of Riemann sums, demonstrated some of the properties of integrals, introduced

More information

Classifying 3D Shapes

Classifying 3D Shapes Classifying 3D Shapes Middle School Texas Essential Knowledge and Skills (TEKS) Math 5.4B Algebraic reasoning The student applies mathematical process standards to develop concepts of expressions and equations.

More information

Math 3 - Lesson Title: Using the Coordinate Plane for Proofs

Math 3 - Lesson Title: Using the Coordinate Plane for Proofs Targeted Content Standard(s): Use coordinates to prove simple geometric theorems algebraically. G.GPE.4 Use coordinates to prove simple geometric theorems algebraically. For example, prove or disprove

More information

Unit 6 - Geometry. Standards

Unit 6 - Geometry. Standards Unit 6 - Geometry Content Area: Mathematics Course(s): Mathematics Time Period: Week 27 Length: 5 Weeks Status: Published Unit Overview In this unit, students utilize their previous knowledge in order

More information

Anoka Hennepin K-12 Curriculum plan

Anoka Hennepin K-12 Curriculum plan Anoka Hennepin K-12 Curriculum plan Department: Elementary Math Unit Title: Packages and Polygons (Blue Book, Geo and Measurement) Triangles and Beyond (Blue Book, Geo and Measurement) Everyday Math: Volume

More information

For many years, geometry in the elementary schools was confined to

For many years, geometry in the elementary schools was confined to SHOW 118 PROGRAM SYNOPSIS Segment 1 (1:39) MATHMAN: RECTANGLES Mathman is told to eat only the rectangles that appear on his video game board. He notes that rectangles must have four right angles (and

More information

Supporting the National Curriculum in England (2014) for mathematics

Supporting the National Curriculum in England (2014) for mathematics Supporting the National Curriculum in England (2014) for mathematics Upper Key Stage 2 2 How MyMaths can help you deliver the curriculum at Upper Key Stage 2. MyMaths is a fully interactive online teaching

More information

7 th Grade STAAR Crunch March 30, 2016

7 th Grade STAAR Crunch March 30, 2016 Reporting Category UMATHX Suggested Lessons and Activities Access UMath X with the URL that your group was given. Login with a valid user name and password. Category 1:Numbers, Operations, and Quantitative

More information

Matija Gubec International School Zagreb MYP 0. Mathematics

Matija Gubec International School Zagreb MYP 0. Mathematics Matija Gubec International School Zagreb MYP 0 Mathematics 1 MYP0: Mathematics Unit 1: Natural numbers Through the activities students will do their own research on history of Natural numbers. Students

More information

6th Grade ~ Conceptual Foundations for Unit of Study 8 Geometry DRAFT 6/30/11 Geometry (Spatial Sense & Reasoning) 1. Shapes, Solids and Properties

6th Grade ~ Conceptual Foundations for Unit of Study 8 Geometry DRAFT 6/30/11 Geometry (Spatial Sense & Reasoning) 1. Shapes, Solids and Properties Geometry is the only CCSSM Domain that consistently appears in every grade level K-12. At all grade levels, geometry content goals can be summarized into four main geometric ideas: 1. Shapes, Solids and

More information

Scope and Sequence for the New Jersey Core Curriculum Content Standards

Scope and Sequence for the New Jersey Core Curriculum Content Standards Scope and Sequence for the New Jersey Core Curriculum Content Standards The following chart provides an overview of where within Prentice Hall Course 3 Mathematics each of the Cumulative Progress Indicators

More information

Students will understand 1. That patterns of numbers help when counting. 2. That there are different ways to count (by ones, tens).

Students will understand 1. That patterns of numbers help when counting. 2. That there are different ways to count (by ones, tens). Kindergarten Counting and Cardinality Essential Questions: 1. Why do we use numbers, what are their properties, and how does our number system function? 2. Why do we use estimation and when is it appropriate?

More information

Precalculus, Quarter 2, Unit 2.1. Trigonometry Graphs. Overview

Precalculus, Quarter 2, Unit 2.1. Trigonometry Graphs. Overview 13 Precalculus, Quarter 2, Unit 2.1 Trigonometry Graphs Overview Number of instructional days: 12 (1 day = 45 minutes) Content to be learned Convert between radian and degree measure. Determine the usefulness

More information

CHAPTER 3: VOLUME. 1. Passing from One Solid to a Succeeding One. 2. Passing from One Solid to a Non-Successive One

CHAPTER 3: VOLUME. 1. Passing from One Solid to a Succeeding One. 2. Passing from One Solid to a Non-Successive One CHAPTER 3: VOLUME I. Introduction II. Volume as a Measurement of Space III. Volume of Solids A. Right-angled Parallelepiped 1. Passing from One Solid to a Succeeding One 2. Passing from One Solid to a

More information

TIPS4Math Grade 6 Volume, Surface Area and Capacity

TIPS4Math Grade 6 Volume, Surface Area and Capacity Volume, Surface Area and Capacity Overall Expectations Students will: Estimate, measure, and record quantities, using the metric measurement system (6m29) Determine the relationships among units and measurable

More information

5th Grade Mathematics Essential Standards

5th Grade Mathematics Essential Standards Standard 1 Number Sense (10-20% of ISTEP/Acuity) Students compute with whole numbers*, decimals, and fractions and understand the relationship among decimals, fractions, and percents. They understand the

More information

Polyhedron Nets. National Standards (NCTM) 21 st Century Skills. Middle School

Polyhedron Nets. National Standards (NCTM) 21 st Century Skills. Middle School Polyhedron Nets Middle School National Standards (NCTM) 21 st Century Skills Instructional programs from prekindergarten through grade 12 in Geometry should enable each and every student to Analyze characteristics

More information

Archdiocese of Washington Catholic Schools Academic Standards Mathematics

Archdiocese of Washington Catholic Schools Academic Standards Mathematics 5 th GRADE Archdiocese of Washington Catholic Schools Standard 1 - Number Sense Students compute with whole numbers*, decimals, and fractions and understand the relationship among decimals, fractions,

More information

Math Lesson Plan 6th Grade Curriculum Total Activities: 302

Math Lesson Plan 6th Grade Curriculum Total Activities: 302 TimeLearning Online Learning for Homeschool and Enrichment www.timelearning.com Languages Arts, Math and more Multimedia s, Interactive Exercises, Printable Worksheets and Assessments Student Paced Learning

More information

Early Years Typical Progression Chart with additional guidance for practitioners. Shape and Space

Early Years Typical Progression Chart with additional guidance for practitioners. Shape and Space Early Years Typical Progression Chart with additional guidance for practitioners Shape and Space Mathematically, the areas of shape and space are about developing visualising skills and understanding relationships,

More information

Daily Warm-Ups GEOMETRY

Daily Warm-Ups GEOMETRY WALCH EDUCATION Daily Warm-Ups GEOMETRY NCTM Standards Jillian Gregory Table of Contents iii Introduction............................................ v About the CD-ROM....................................

More information

ACT Math and Science - Problem Drill 11: Plane Geometry

ACT Math and Science - Problem Drill 11: Plane Geometry ACT Math and Science - Problem Drill 11: Plane Geometry No. 1 of 10 1. Which geometric object has no dimensions, no length, width or thickness? (A) Angle (B) Line (C) Plane (D) Point (E) Polygon An angle

More information

Curriculum Correlation Geometry Cluster 2: 3-D Solids

Curriculum Correlation Geometry Cluster 2: 3-D Solids Master 13a ON 17.1 explore, sort, and compare the attributes (e.g., reflective symmetry) and the properties (e.g., number of faces) of traditional and non-traditional two-dimensional shapes and three-dimensional

More information

This is a one-week excerpt from the Starfall Kindergarten Mathematics Teacher s Guide. If you have questions or comments, please contact us.

This is a one-week excerpt from the Starfall Kindergarten Mathematics Teacher s Guide. If you have questions or comments, please contact us. UNIT 6 WEEK 13 This is a one-week excerpt from the Starfall Kindergarten Mathematics Teacher s Guide. If you have questions or comments, please contact us. Email: helpdesk@starfall.com Phone: 1-888-857-8990

More information

Module 5: Creating Sheet Metal Transition Piece Between a Square Tube and a Rectangular Tube with Triangulation

Module 5: Creating Sheet Metal Transition Piece Between a Square Tube and a Rectangular Tube with Triangulation 1 Module 5: Creating Sheet Metal Transition Piece Between a Square Tube and a Rectangular Tube with Triangulation In Module 5, we will learn how to create a 3D folded model of a sheet metal transition

More information

Problem Sets. GRADE 5 MODULE 5 Addition and Multiplication with Volume and Area

Problem Sets. GRADE 5 MODULE 5 Addition and Multiplication with Volume and Area GRADE 5 MODULE 5 Addition and Multiplication with Volume and Area Problem Sets Video tutorials: http://bit.ly/eurekapusd Info for parents: http://bit.ly/pusdmath 5 GRADE Mathematics Curriculum GRADE 5

More information

Mathematics 700 Unit Lesson Title Lesson Objectives 1 - INTEGERS Represent positive and negative values. Locate integers on the number line.

Mathematics 700 Unit Lesson Title Lesson Objectives 1 - INTEGERS Represent positive and negative values. Locate integers on the number line. Mathematics 700 Unit Lesson Title Lesson Objectives 1 - INTEGERS Integers on the Number Line Comparing and Ordering Integers Absolute Value Adding Integers with the Same Sign Adding Integers with Different

More information

READ ME FIRST. Investigations 2012 for the Common Core State Standards A focused, comprehensive, and cohesive program for grades K-5

READ ME FIRST. Investigations 2012 for the Common Core State Standards A focused, comprehensive, and cohesive program for grades K-5 READ ME FIRST Investigations 2012 for the Common Core State Standards A focused, comprehensive, and cohesive program for grades K-5 In updating Investigations 2 nd edition to encompass the Common Core

More information

Explore Solids

Explore Solids 1212.1 Explore Solids Surface Area and Volume of Solids 12.2 Surface Area of Prisms and Cylinders 12.3 Surface Area of Pyramids and Cones 12.4 Volume of Prisms and Cylinders 12.5 Volume of Pyramids and

More information

MATH STUDENT BOOK. 8th Grade Unit 8

MATH STUDENT BOOK. 8th Grade Unit 8 MATH STUDENT BOOK 8th Grade Unit 8 Unit 8 Measures of Solid Figures Math 808 Measures of Solid Figures Introduction 3 1. Surface Area 5 Solid Figures 5 Euler s Formula 14 Surface Area of Rectangular Prisms

More information

TIPS4Math Grades 4 to 6 Overview Grade 4 Grade 5 Grade 6 Collect, Organize, and Display Primary Data (4+ days)

TIPS4Math Grades 4 to 6 Overview Grade 4 Grade 5 Grade 6 Collect, Organize, and Display Primary Data (4+ days) Collect, Organize, and Display Primary Data (4+ days) Collect, Organize, Display and Interpret Categorical Data (5+ days) 4m88 Collect data by conducting a survey or an experiment to do with the 4m89 Collect

More information

Constructing Symmetrical Shapes

Constructing Symmetrical Shapes 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 the picture b) Describe the method you

More information

Topic: 1-One to Five

Topic: 1-One to Five Mathematics Curriculum Kindergarten Suggested Blocks of Instruction: 12 days /September Topic: 1-One to Five Know number names and the count sequence. K.CC.3. Write numbers from 0 to 20. Represent a number

More information

correlated to the Utah 2007 Secondary Math Core Curriculum Geometry

correlated to the Utah 2007 Secondary Math Core Curriculum Geometry correlated to the Utah 2007 Secondary Math Core Curriculum Geometry McDougal Littell Geometry: Concepts and Skills 2005 correlated to the Utah 2007 Secondary Math Core Curriculum Geometry The main goal

More information

5th Grade Everyday Math Lesson # Everyday Math Lesson BIG IDEA SLE #

5th Grade Everyday Math Lesson # Everyday Math Lesson BIG IDEA SLE # Everyday Math Lesson # Everyday Math Lesson BIG IDEA SLE # NO. 2.5.1 1.1 NO.3.6.1 Introduction to the Student Reference Introduction to the Student Reference Book G.8.5.1 Book DAP. 15.5.2 1.2 Rectangular

More information

HS Geometry Mathematics CC

HS Geometry Mathematics CC Course Description This course involves the integration of logical reasoning and spatial visualization skills. It includes a study of deductive proofs and applications from Algebra, an intense study of

More information

Contents. About the Author. Decimals. Acknowledgments. Correlation Chart. Whole Numbers

Contents. About the Author. Decimals. Acknowledgments. Correlation Chart. Whole Numbers Contents iii vi vi xi Preface About the Author Acknowledgments Correlation Chart Whole Numbers 3 Know Your Bowling Score! Addition of Whole Numbers; Mental Math (Activity, page 149) 5 Counting Calories

More information

2D Space. Name. 1 Trace the vertical lines in red. Trace the horizontal lines in blue. Trace the oblique lines in green.

2D Space. Name. 1 Trace the vertical lines in red. Trace the horizontal lines in blue. Trace the oblique lines in green. 2D Space 1 Trace the vertical lines in red. Trace the horizontal lines in blue. Trace the oblique lines in green. 2 Draw lines or curves parallel to each of these. 3 Loop the angles. Skills and understandings

More information

1 of 5 9/22/2009 11:03 AM Map: Pearson's Math Grade 4 2007-2008 Type: Projected Grade Level: 4 School Year: 2007-2008 Author: Jessica Parrella District/Building: Minisink Valley CSD/Intermediate School

More information

Geometry Workbook WALCH PUBLISHING

Geometry Workbook WALCH PUBLISHING Geometry Workbook WALCH PUBLISHING Table of Contents To the Student..............................vii Unit 1: Lines and Triangles Activity 1 Dimensions............................. 1 Activity 2 Parallel

More information

Curriculum Correlation Geometry Cluster 1: 2-D Shapes

Curriculum Correlation Geometry Cluster 1: 2-D Shapes Master 1a ON 17.1 explore, sort, and compare the attributes (e.g., reflective symmetry) and the properties (e.g., number of faces) of traditional and non-traditional two-dimensional shapes and three-dimensional

More information

Getting Ready to Teach Unit 6

Getting Ready to Teach Unit 6 Getting Ready to Teach Unit 6 Learning Path in the Common Core Standards In this unit, students study the attributes of triangles, quadrilaterals, and other polygons. They find perimeter and area of various

More information

Mathematics Curriculum

Mathematics Curriculum 6 G R A D E Mathematics Curriculum GRADE 6 5 Table of Contents 1... 1 Topic A: Area of Triangles, Quadrilaterals, and Polygons (6.G.A.1)... 11 Lesson 1: The Area of Parallelograms Through Rectangle Facts...

More information

MCC5.G.3 Understand that attributes belonging to a category of two-dimensional figures also belong to all subcategories of that categories.

MCC5.G.3 Understand that attributes belonging to a category of two-dimensional figures also belong to all subcategories of that categories. Fifth Grade Mathematics Unit 6 CONSTRUCTING TASK: Property Lists of Quadrilaterals Adapted from Van De Walle, Teaching Student-Centered Math pg. 207 The purpose of this task is for students to become familiar

More information

Grade 4 Math. construct geometric figures (I) 9A.8

Grade 4 Math. construct geometric figures (I) 9A.8 School District #158 Month Quarter 1 Geometry Utilize a compass and straightedge to construct geometric figures (D) 9A.1 9A.2 Identify properties of polygons (D) 9A.2 9A.5 9B.1 Classify quadrangle according

More information

Brunswick School Department: Grade 5

Brunswick School Department: Grade 5 Understandings Questions Mathematics Lines are the fundamental building blocks of polygons. Different tools are used to measure different things. Standard units provide common language for communicating

More information

Mathematics - LV 6 Correlation of the ALEKS course Mathematics MS/LV 6 to the State of Texas Assessments of Academic Readiness (STAAR) for Grade 6

Mathematics - LV 6 Correlation of the ALEKS course Mathematics MS/LV 6 to the State of Texas Assessments of Academic Readiness (STAAR) for Grade 6 Mathematics - LV 6 Correlation of the ALEKS course Mathematics MS/LV 6 to the State of Texas Assessments of Academic Readiness (STAAR) for Grade 6 Number, Operation, and Quantitative Reasoning. 6.1.A:

More information

Fair Game Review. Chapter 9. Name Date. Find the area of the square or rectangle

Fair Game Review. Chapter 9. Name Date. Find the area of the square or rectangle Name Date Chapter 9 Fair Game Review Find the area of the square or rectangle. 1. 2. 8 cm 7 yd 8 cm 12 yd 3. 4. 9.2 in. 5 6 m 6.4 in. 5 6 m 5. 6. 1 1 3 mm 21.3 ft 2 1 3 mm 15.1 ft 7. An artist buys a square

More information

E Mathematics Operations & Applications: C. Geometry: Activity: Circuit Board Geometry

E Mathematics Operations & Applications: C. Geometry: Activity: Circuit Board Geometry Science as Inquiry: As a result of activities in grades 5-8, all students should develop Understanding about scientific inquiry. Abilities necessary to do scientific inquiry: identify questions, design

More information

APS Seventh Grade Math District Benchmark Assessment NM Math Standards Alignment

APS Seventh Grade Math District Benchmark Assessment NM Math Standards Alignment APS Seventh Grade Math District Benchmark NM Math Standards Alignment SEVENTH GRADE NM STANDARDS Strand: NUMBER AND OPERATIONS Standard: Students will understand numerical concepts and mathematical operations.

More information

1 st Grade Math 2007 Standards, Benchmarks, Examples & Vocabulary

1 st Grade Math 2007 Standards, Benchmarks, Examples & Vocabulary 1 st Grade Math 2007 Standards, Benchmarks, s & Strand Standard No. Benchmark (1 st Grade) 1.1.1.1 Use place value to describe whole numbers between 10 and 100 in terms of tens and ones. Group of Tens

More information

TOPIC 16 STUDY GUIDE LINES, ANGLES AND SHAPES

TOPIC 16 STUDY GUIDE LINES, ANGLES AND SHAPES Name: Teacher: TOPIC 16 STUDY GUIDE LINES, ANGLES AND SHAPES Study Guide Due: Test Date: Parents, 4th Graders are focusing on giving their best effort. One way to show that they are going above and beyond

More information

Parent Packet. HAUPPAUGE MATH DEPARTMENT CCLS Grade 5 MODULE 5

Parent Packet. HAUPPAUGE MATH DEPARTMENT CCLS Grade 5 MODULE 5 Parent Packet HAUPPAUGE MATH DEPARTMENT CCLS Grade 5 MODULE 5 http://www.hauppauge.k12.ny.us/math 2014 2015 School Year Grade 5 Module 5 Addition and Multiplication with Volume and Area In this module,

More information

Chapter 5. Transforming Shapes

Chapter 5. Transforming Shapes Chapter 5 Transforming Shapes It is difficult to walk through daily life without being able to see geometric transformations in your surroundings. Notice how the leaves of plants, for example, are almost

More information

Key Concept Euler s Formula

Key Concept Euler s Formula 11-1 Space Figures and Cross Sections Objectives To recognize polyhedrons and their parts To visualize cross sections of space figures Common Core State Standards G-GMD.B.4 Identify the shapes of two-dimensional

More information

Academic Vocabulary CONTENT BUILDER FOR THE PLC MATH GRADE 1

Academic Vocabulary CONTENT BUILDER FOR THE PLC MATH GRADE 1 Academic Vocabulary CONTENT BUILDER FOR THE PLC MATH GRADE 1 : academic vocabulary directly taken from the standard STANDARD 1.2(C) use objects, pictures, and expanded and standard forms to represent numbers

More information

TEACHER GUIDE INCLUDES. Tier 1 Tier 2 Tier 3 Correlations. Diagnostic Interviews for Every Common Core Cluster

TEACHER GUIDE INCLUDES. Tier 1 Tier 2 Tier 3 Correlations. Diagnostic Interviews for Every Common Core Cluster TEACHER GUIDE FOR THE COMMON CORE STATE STANDARDS FOR MATHEMATICS 3 INCLUDES Tier Tier Tier 3 Correlations Diagnostic Interviews for Every Common Core Cluster Tier Lessons, Tier Prerequisite Skills, and

More information

Fractals. Materials. Pencil Paper Grid made of triangles

Fractals. Materials. Pencil Paper Grid made of triangles Fractals Overview: Fractals are new on the mathematics scene, however they are in your life every day. Cell phones use fractal antennas, doctors study fractal-based blood flow diagrams to search for cancerous

More information

Virginia Grade Level Alternative Worksheet

Virginia Grade Level Alternative Worksheet Grade 3 Mathematics Student's Name: Check all that apply: Assigned scores have been entered into the online VGLA System. State Testing Identifier: Assigned scores have been verified and submitted for final

More information

MATH 113 Section 9.2: Symmetry Transformations

MATH 113 Section 9.2: Symmetry Transformations MATH 113 Section 9.2: Symmetry Transformations Prof. Jonathan Duncan Walla Walla University Winter Quarter, 2008 Outline 1 What is Symmetry 2 Types of Symmetry Reflective Symmetry Rotational Symmetry Translational

More information

The Sweet Bees-ness of Honeycomb

The Sweet Bees-ness of Honeycomb The Sweet Bees-ness of Honeycomb Image: Wentzel, L. (2014), Musical Animals: Concertina Beehive. An idea for Ypsilanti s Honeybee Festival. Courtesy of Creative Commons. Accessed from https://www.flickr.com/photos/wentzelepsy/14507537589.

More information

Geometry. Unit 9 Equations of Circles, Circle Formulas, and Volume

Geometry. Unit 9 Equations of Circles, Circle Formulas, and Volume Geometry Unit 9 Equations of Circles, Circle Formulas, and Volume 0 Warm-up 1. Use the Pythagorean Theorem to find the length of a right triangle s hypotenuse if the two legs are length 8 and 14. Leave

More information

Ohio Tutorials are designed specifically for the Ohio Learning Standards to prepare students for the Ohio State Tests and end-ofcourse

Ohio Tutorials are designed specifically for the Ohio Learning Standards to prepare students for the Ohio State Tests and end-ofcourse Tutorial Outline Ohio Tutorials are designed specifically for the Ohio Learning Standards to prepare students for the Ohio State Tests and end-ofcourse exams. Math Tutorials offer targeted instruction,

More information

ADW GRADE 5 Math Standards, revised 2017

ADW GRADE 5 Math Standards, revised 2017 NUMBER SENSE (NS) Students compute with whole numbers, decimals and fractions and understand the relationship among decimals, fractions and percents. They understand the relative magnitudes of numbers.

More information

Grade 6 Math Circles February 19th/20th. Tessellations

Grade 6 Math Circles February 19th/20th. Tessellations Faculty of Mathematics Waterloo, Ontario N2L 3G1 Centre for Education in Mathematics and Computing Grade 6 Math Circles February 19th/20th Tessellations Introduction to Tessellations tessellation is a

More information

6 th Grade Math Cylinder Task. c) Draw a net (pattern) for the manufacturer to use to make the can.

6 th Grade Math Cylinder Task. c) Draw a net (pattern) for the manufacturer to use to make the can. 6 th Grade Math a) Explain what is meant by surface area. What steps would you take to find the surface area of a cylinder? b) One of the major expenses in manufacturing a can is the amount of metal that

More information

Illinois State Standards Alignments Grades Three through Six

Illinois State Standards Alignments Grades Three through Six Illinois State Standards Alignments Grades Three through Six Trademark of Renaissance Learning, Inc., and its subsidiaries, registered, common law, or pending registration in the United States and other

More information

2014 Geometry Summer Reading Assignment

2014 Geometry Summer Reading Assignment Name 2014 Geometry Summer Reading Assignment Date Prior to the first day of Geometry class, you must complete all questions contained in this packet. Geometry is a high school requirement and information

More information

Identifying and Classifying Angles and Shapes

Identifying and Classifying Angles and Shapes Grade 5 Mathematics, Quarter 2, Unit 2.1 Identifying and Classifying Angles and Shapes Overview Number of instructional days: 10 (1 day = 45 minutes) Content to be learned Describe, compare, and classify

More information

Grades 7 & 8, Math Circles 20/21/22 February, D Geometry Solutions

Grades 7 & 8, Math Circles 20/21/22 February, D Geometry Solutions Faculty of Mathematics Waterloo, Ontario NL 3G1 Centre for Education in Mathematics and Computing D Geometry Review Grades 7 & 8, Math Circles 0/1/ February, 018 3D Geometry Solutions Two-dimensional shapes

More information

engageny/eureka Math Parent Workshop, Session 3 Saratoga USD March 16, 2016

engageny/eureka Math Parent Workshop, Session 3 Saratoga USD March 16, 2016 engageny/eureka Math Parent Workshop, Session 3 Saratoga USD March 16, 2016 Outcomes Review and understand the Van Hiele levels of Geometric Reasoning Explore the progression of skills and conceptual understandings

More information

Three-Dimensional Figures

Three-Dimensional Figures Three-Dimensional Figures The number of coins created by the U.S. Mint changes each year. In the year 2000, there were about 28 billion coins created and about half of them were pennies!.1 Whirlygigs for

More information

Grades 7 & 8, Math Circles 20/21/22 February, D Geometry

Grades 7 & 8, Math Circles 20/21/22 February, D Geometry Faculty of Mathematics Waterloo, Ontario N2L 3G1 Centre for Education in Mathematics and Computing 2D Geometry Review Grades 7 & 8, Math Circles 20/21/22 February, 2018 3D Geometry Two-dimensional shapes

More information

seen something like it many times when playing video games.

seen something like it many times when playing video games. Cakes and Pancakes Translating and Stacking Two-Dimensional Figures.2 Learning Goals In this lesson, you will: Apply translations to two-dimensional plane figures to create three-dimensional solids. Describe

More information