LESSON PLAN #1. Name: Kevin Laley Date: March 1, NYS Mathematics, Science, and Technology Learning Standards Addressed


 Griselda Wright
 1 years ago
 Views:
Transcription
1 LESSON PLAN #1 Name: Kevin Laley Date: March 1, 2005 Today s Lesson: Circumference Exploration Unit Topic: Applying Fractions Course: Math 7 NYS Mathematics, Science, and Technology Learning Standards Addressed Objectives: Standard 1: Students will use mathematical analysis, scientific inquiry, and engineering design, as appropriate, to pose questions, seek answers, and develop solutions. Standard 3: Students will understand mathematics and become mathematically confident by communicating and reasoning mathematically, by applying mathematics in realworld settings, and by solving problems through the integrated study of number systems, geometry, algebra, data analysis, probability, and trigonometry. Standard 6: Students will understand the relationships and common themes that connect mathematics, science, and technology and apply the themes to these and other areas of learning. Standard 7: Students will apply the knowledge and thinking skills of mathematics, science, and technology to address reallife problems and make informed decisions. The student will measure the diameters and circumferences of various circular objects and use their data to discover a relationship between the diameter and the circumference of a given circle. (Synthesis) The student will be able to use a calculator with the formula C = π d to find the circumference of a circle given the circle s diameter or radius. (Knowledge) Materials: 8 Circumference Kits, each containing 5 different circular objects (each kit should contain the same 5 objects), about ten pieces of string, a metric ruler, and a pair of scissors 2 overheads of the tasksheets and one for each student (21) 1 Group Report Sheet for each group (7) Calculators (at least 8, but preferably one for each student, if available) One homework sheet for each student (21 total) Overhead ruler Overhead Pens and Marker Board Markers
2 Anticipatory Set: I will begin class by drawing the following rectangle on the front markerboard: 5 ft 3 ft Ask Can anybody tell me how we can calculate the perimeter of this rectangle? (ans: = 16 feet) Next, I would draw the following figure on the board: 2 in. 5 in. 1 in 3 in. 5 in. 1 in 3 in. Again, ask Can someone explain to me how I can calculate the perimeter of this object? (ans: add = 20 inches). Lastly, I would draw the following figure: 4 cm 10 cm 10 cm 4 cm Ask What makes this figure different from the other two figures I ve just drawn? (I d expect answers such as, it has rounded edges, we do not know how to calculate the perimeter of the rounded edges, etc..) Explain to the class that we re going to learn a couple techniques for
3 solving a problem such as this in our exploration today. (Anticipatory set should take about 5 minutes.) Lesson Body: SetUp Before dividing the class into groups, explain to the students what will be expected of them in the class period. First, I will give one task sheet ( Circumference Exploration ) to each student. I will then tell them that they will be working in groups of three, which have been preassigned ahead of class, to measure the diameter and circumference of the five objects in their Circumference Kits. (These are the bags containing five circular objects, a metric ruler, string, and a pair of scissors that have been prepared before class.) Next, I will take one of these objects from that bag and model how the students are to measure the diameter and circumference. (Using a piece of string and an object from the bag, hold one end of the string on one edge of the circle, and pull the string tight across the object so that it passes through the center of the circle and touches the opposite edge of the circle. Holding both ends of the string where they meet the edge of the circle, place the string up to the metric overhead ruler and show how measuring the length of the string between these two points gives us a measurement for the diameter of the object. Similarly, pull the string tight so that it goes around the circumference, or edge, of the circle, holding the string at its starting and end point. Then show that measuring the distance between these two points of the string gives us a measurement for the circumference of the circle. This should take about 5 minutes. Experimenting Break the class into groups of three people. (For our class of 21, there will thus be 7 groups). Make sure each team pulls their desks together so that they are facing one another. Ask one member of each team to come to the front of the room and get a Circumference Kit and group report sheet for the team and another person from each group to get enough calculators for each individual in their team. Once this is done, instruct each team to designate one person to measure the diameter of each object, another person to measure the circumference of each object, and a third person to record all the values. (This third person will also copy their data on the group report sheet.) If one group finishes before the others, have them switch roles so that they check each others measurements. This should take approximately 10 minutes and then another 2 minutes to discuss what students found in the exploration. (Ask if anyone experienced any difficulties, how they overcame these difficulties, or if they had a chance to check each other s measurements. Some students may have trouble eyeballing the center of the circle for the diameters or getting the string to stretch around the circumference.) Reflecting and Explaining With the teams, now assembled as a whole class group, put the task sheet on the overhead and ask one group what they got for the circumference of object A, the diameter of object A, and the ratio of the circumference to the diameter of object A. Then, ask another group to volunteer their
4 data for Object B and so on until one set of measurements for each of the objects is recorded. (If time is beginning to run short, you may choose to only collect data from the first few objects.) At this time, collect the group report sheets from each group. The students do not need to copy down the data from the overhead, because I will type up a sheet with each group s data along with the class averages for the measurements. This summary sheet will be handed out at the beginning of the following class and will serve as a quick review of the material covered today and will allow each student to have a complete report of our findings. This class reflection should take no longer than 10 minutes. Hypothesizing and Articulating Ask, (1) What do you notice about the quotients you calculated? (Hopefully, students will notice that all of them are relatively close to 3 or 3.14.) If for some reason the data is off, explain to the class that the values are supposed to all be equal to Next, ask students (2) Why are the ratios we calculated not exactly equal to 3.14? or equivalently, What are some possible sources of error in the exploration. (Error in estimating the center of the circle, not correctly measuring the length of the string with the ruler, using stretchy string etc ). This should take about 5 minutes. For homework, I will ask the students to write a short journal entry detailing their experience with today s exploration and what they gained from it. Verifying and Refining Now that the class has been told that the circumference of any circle divided by its diameter always equals approximately 3.14, tell them that mathematicians have given a special name to this number, Pi (π ). Stress that 3.14 is merely an approximation for this number and that it actually goes on forever, never repeating or terminating. (This is called an irrational number.) (3) Ask the students Can you write an equation for the circumference of a circle given its diameter? (Give them one or two minutes for contemplation before asking if any of them have a suggestion.) The correct response should look something like the following: circumference diamter This should take about 57 minutes. = π or circumference= π d or C = π d.
5 Closure Say, We already said that the ratio of the circumference to the diameter of any given circle is approximately equal to Ask, (4) What relationship between the circumference and diameter does this tell us? (The circumference is approximately 3.14 times as large as the diameter.) Return to the previously unsolvable problem from the beginning of class, and say we now have enough information to calculate the perimeter of this object, which you ll be asked to do on your homework. Also, let the students know that we will spend the first part of class tomorrow sharing their thoughts and/or solutions to this problem. Accommodations for IEP For the student with ADD, I have included very specific instructions throughout the exploration to ensure that each member of the group has a defined task to complete. Since no team can function without every person s contribution, the other members of the team will presumably make sure that the student will stay on task. I will also keep a close watch on this student as I roam about the groups during the exploration. If he seems to be losing focus, I will attempt to ask questions that will motivate him to stay on task. Homework/Assessment Hand out the worksheet labeled Circumference Homework. Since all tasks on this sheet have been referred to throughout the lesson, this should require no additional explanation. Remind students that they are each expected to attempt the unsolvable problem on the bottom of the sheet, but urge them not to become frustrated if they can not answer it. Let them know that we will discuss their findings on this problem as a class tomorrow. Extensions If one group finishes the exploration early or if time permits at the end of class, give them a bag of quarters to complete the Extra Fun! exploration on the task sheet. Have them measure the distance around one quarter with the string, and then stretch the string on a piece of paper, marking the length of the circumference of the quarter. Then ask them how many quarters they can lay sidebyside along the length of this string. (They should be able to fit three quarters, with a little bit of the string left over. This illustrates that the circumference of the quarter is equal to approximately 3.14 times its diameter, because the three quarters sidebyside represent three diameters.)
6 Name Partners Circumference Exploration Date Directions: Using the string and metric ruler provided, measure the circumferences and diameters of each of the five circular objects given to you and record these measurements in the table below. When all measurements have been taken, find the ratio of the circumference to the diameter of each object by dividing its diameter by its circumference. What do you notice about the ratios you calculated? Object Circumference (cm) Diameter (cm) Ratio (C D) Extra Fun! Measure the circumference of a quarter. Draw a line equal to the length of the circumference below: Now, how many quarters can you fit across this line, if the line must go through the center of each quarter? Can you say anything about the relationship between the circumference of one quarter and the diameter of a quarter?
7 Group Members Date: Circumference Exploration Group Report Sheet Directions: Have the data recorder from your group copy the measurements you obtained from your exploration in the table below. This sheet will be handed it at the end of the class. Object Circumference (cm) Diameter (cm) Ratio (C D)
8 Name: Date: Circumference Homework What number is symbol π approximately equal to? Explain what the significance of this number is in regards to the circumference and the diameter of a circle. Based on our findings from class, write a formula for finding the circumference of a circle: Calculate the circumference of the following circles: r = 15 r = 1 Try to find the perimeter of this object: 4 cm 10 cm 10 cm 4 cm
LESSON 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 informationKristen Kachurek. Circumference, Perimeter, and Area Grades 710 5 Day lesson plan. Technology and Manipulatives used:
Kristen Kachurek Circumference, Perimeter, and Area Grades 710 5 Day lesson plan Technology and Manipulatives used: TI83 Plus calculator Area Form application (for TI83 Plus calculator) Login application
More informationPi Project Deriving Pi from the Objects around Us Lesson Plan
Pi Project Deriving Pi from the Objects around Us Lesson Plan Subject Area: Math Grade Levels: The lesson can be adapted for grades 4 10 (ages 9 6). Time: At least one 50minute class period; time outside
More informationWheels Diameter / Distance Traveled
Mechanics Teacher Note to the teacher On these pages, students will learn about the relationships between wheel radius, diameter, circumference, revolutions and distance. Students will use formulas relating
More informationGrade 4 Mathematics Measurement: Lesson 2
Grade 4 Mathematics Measurement: Lesson 2 Read aloud to the students the material that is printed in boldface type inside the boxes. Information in regular type inside the boxes and all information outside
More informationCircumference of a Circle
Circumference of a Circle A circle is a shape with all points the same distance from the center. It is named by the center. The circle to the left is called circle A since the center is at point A. If
More information7.4A/7.4B STUDENT ACTIVITY #1
7.4A/7.4B STUDENT ACTIVITY #1 Write a formula that could be used to find the radius of a circle, r, given the circumference of the circle, C. The formula in the Grade 7 Mathematics Chart that relates the
More informationCircumference and Area of a Circle
Overview Math Concepts Materials Students explore how to derive pi (π) as a ratio. Students also study the circumference and area of a circle using formulas. numbers and operations TI30XS MultiView twodimensional
More informationShow that when a circle is inscribed inside a square the diameter of the circle is the same length as the side of the square.
Week & Day Week 6 Day 1 Concept/Skill Perimeter of a square when given the radius of an inscribed circle Standard 7.MG:2.1 Use formulas routinely for finding the perimeter and area of basic twodimensional
More informationUnit 1 Number Sense. In this unit, students will study repeating decimals, percents, fractions, decimals, and proportions.
Unit 1 Number Sense In this unit, students will study repeating decimals, percents, fractions, decimals, and proportions. BLM Three Types of Percent Problems (p L34) is a summary BLM for the material
More informationCharacteristics of the Four Main Geometrical Figures
Math 40 9.7 & 9.8: The Big Four Square, Rectangle, Triangle, Circle Pre Algebra We will be focusing our attention on the formulas for the area and perimeter of a square, rectangle, triangle, and a circle.
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 informationArc Length and Areas of Sectors
Student Outcomes When students are provided with the angle measure of the arc and the length of the radius of the circle, they understand how to determine the length of an arc and the area of a sector.
More informationStudent Teaching Observation Lesson Plan 5: Area and Circumference of Circles
Lauren Clarke April 23, 2013 Student Teaching Observation Lesson Plan 5: Area and Circumference of Circles Objectives: 1. Students will understand what area, circumference, diameter, radius, chord, and
More informationMultiplication of Whole Numbers & Factors
Lesson Number 3 Multiplication of Whole Numbers & Factors Professor Weissman s Algebra Classroom Martin Weissman, Jonathan S. Weissman. & Tamara Farber What Are The Different Ways To Show Multiplication?
More informationGrade 8 Mathematics Measurement: Lesson 6
Grade 8 Mathematics Measurement: Lesson 6 Read aloud to the students the material that is printed in boldface type inside the boxes. Information in regular type inside the boxes and all information outside
More informationGrade 7 & 8 Math Circles Circles, Circles, Circles March 19/20, 2013
Faculty of Mathematics Waterloo, Ontario N2L 3G Introduction Grade 7 & 8 Math Circles Circles, Circles, Circles March 9/20, 203 The circle is a very important shape. In fact of all shapes, the circle is
More informationFree PreAlgebra Lesson 55! page 1
Free PreAlgebra Lesson 55! page 1 Lesson 55 Perimeter Problems with Related Variables Take your skill at word problems to a new level in this section. All the problems are the same type, so that you can
More informationLESSON 10 GEOMETRY I: PERIMETER & AREA
LESSON 10 GEOMETRY I: PERIMETER & AREA INTRODUCTION Geometry is the study of shapes and space. In this lesson, we will focus on shapes and measures of onedimension and twodimensions. In the next lesson,
More informationStudent Outcomes. Lesson Notes. Classwork. Exercises 1 3 (4 minutes)
Student Outcomes Students give an informal derivation of the relationship between the circumference and area of a circle. Students know the formula for the area of a circle and use it to solve problems.
More informationObjectives Be able to write a complete sentence Be able to punctuate and capitalize correctly in a sentence
Building Blocks of Sentences: Direct Instruction Lesson created by Amanda Kelley For use with Sentence BuilderslWord Shapes, a learning tool described in: Stockdale, Carol and Possin, Carol. (2000). The
More informationmeasurement, number & operations, reasoning & proof, and science & technology
Pi What is it? Subject Area(s) Associated Unit Associated Lesson Activity Title measurement, number & operations, reasoning & proof, and science & technology None None Let s Take a Slice of Pi Header Insert
More informationObjective To introduce a formula to calculate the area. Family Letters. Assessment Management
Area of a Circle Objective To introduce a formula to calculate the area of a circle. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family Letters Assessment
More informationVolume 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
More informationCIRCUMFERENCE AND AREA OF CIRCLES
CIRCUMFERENCE AND AREA F CIRCLES 8..1 8.. Students have found the area and perimeter of several polygons. Next they consider what happens to the area as more and more sides are added to a polygon. By exploring
More informationGrade 7 Circumference
Grade 7 Circumference 7.SS.1 Demonstrate an understanding of circles by describing the relationships among radius, diameter, and circumference of circles relating circumference to PI determining the sum
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 informationCHAPTER 8: ACUTE TRIANGLE TRIGONOMETRY
CHAPTER 8: ACUTE TRIANGLE TRIGONOMETRY Specific Expectations Addressed in the Chapter Explore the development of the sine law within acute triangles (e.g., use dynamic geometry software to determine that
More informationArea and Perimeter Man
Area and Perimeter Man MA.C.3.2.1.3.1 and.2; MA.B.3.2.1.3.3 LESSON FOCUS Using counting procedures to determine perimeter and area of rectangles, squares, and other figures. COMPANION ANCHORS LESSONS Perimeter;
More informationLesson 21. Circles. Objectives
Student Name: Date: Contact Person Name: Phone Number: Lesson 1 Circles Objectives Understand the concepts of radius and diameter Determine the circumference of a circle, given the diameter or radius Determine
More informationCircles: Circumference and Area Lesson Plans
Circles: Circumference and Area Lesson Plans A set of lessons for year 7. Lesson 1: Circumference of the circle and Pi Lesson 2: Area of the circle Lesson 3: Consolidation and Practice Lesson 1: Circumference
More informationThe GED math test gives you a page of math formulas that
Math Smart 643 The GED Math Formulas The GED math test gives you a page of math formulas that you can use on the test, but just seeing the formulas doesn t do you any good. The important thing is understanding
More informationPERIMETER AND AREA. In this unit, we will develop and apply the formulas for the perimeter and area of various twodimensional figures.
PERIMETER AND AREA In this unit, we will develop and apply the formulas for the perimeter and area of various twodimensional figures. Perimeter Perimeter The perimeter of a polygon, denoted by P, is the
More informationAll I Ever Wanted to Know About Circles
Parts of the Circle: All I Ever Wanted to Know About Circles 1. 2. 3. Important Circle Vocabulary: CIRCLE the set off all points that are the distance from a given point called the CENTER the given from
More informationLine Segments on the Geoboard A Lesson for Fourth and Fifth Graders
Line Segments on the Geoboard A Lesson for Fourth and Fifth Graders by Rusty Bresser From Online Newsletter Issue Number 17, Spring 2005 Geometry comes to life in this lesson, as Rusty Bresser has fourth
More informationJulie Rotthoff Brian Ruffles. No Pi Allowed
Julie Rotthoff Brian Ruffles rott9768@fredonia.edu ruff0498@fredonia.edu No Pi Allowed Introduction: Students often confuse or forget the area and circumference formulas for circles. In addition, students
More informationCircumference and Area of Circles
ircumference and Area of ircles 7 MAIN IDEA Measure and record the distance d across the circular part of an object, such as a battery or a can, through its center. Find the circumference and area of
More informationAssessment Management
Area Objectives To provide experiences with the concept of area, distinguishing between area and perimeter, and finding areas of rectangular figures by partitioning and counting squares. www.everydaymathonline.com
More informationThe Circumference Function
2 Geometry You have permission to make copies of this document for your classroom use only. You may not distribute, copy or otherwise reproduce any part of this document or the lessons contained herein
More informationSurface Area. Assessment Management
Surface Area Objective To introduce finding the surface area of prisms, cylinders, and pyramids. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family Letters
More informationGeometry Notes PERIMETER AND AREA
Perimeter and Area Page 1 of 57 PERIMETER AND AREA Objectives: After completing this section, you should be able to do the following: Calculate the area of given geometric figures. Calculate the perimeter
More informationSubject: Math Grade Level: 5 Topic: The Metric System Time Allotment: 45 minutes Teaching Date: Day 1
Subject: Math Grade Level: 5 Topic: The Metric System Time Allotment: 45 minutes Teaching Date: Day 1 I. (A) Goal(s): For student to gain conceptual understanding of the metric system and how to convert
More informationComposing and Decomposing Twodimensional Figures
Composing and Decomposing Twodimensional Figures Student Probe Give the student two congruent right triangles and ask the student to create new figures. Ask the student to explain the new figures. If
More informationMATH 110 Landscape Horticulture Worksheet #4
MATH 110 Landscape Horticulture Worksheet #4 Ratios The math name for a fraction is ratio. It is just a comparison of one quantity with another quantity that is similar. As a Landscape Horticulturist,
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 informationTeacher Answer Key: Measured Turns Introduction to Mobile Robotics > Measured Turns Investigation
Teacher Answer Key: Measured Turns Introduction to Mobile Robotics > Measured Turns Investigation Phase 1: Swing Turn Path Evaluate the Hypothesis (1) 1. When you ran your robot, which wheel spun? The
More informationTallahassee Community College PERIMETER
Tallahassee Community College 47 PERIMETER The perimeter of a plane figure is the distance around it. Perimeter is measured in linear units because we are finding the total of the lengths of the sides
More information17.2 Surface Area of Prisms and Cylinders
Name Class Date 17. Surface Area of Prisms and Cylinders Essential Question: How can you find the surface area of a prism or cylinder? Explore G.11.C Apply the formulas for the total and lateral surface
More information1.2 Inductive Reasoning
Page 1 of 6 1.2 Inductive Reasoning Goal Use inductive reasoning to make conjectures. Key Words conjecture inductive reasoning counterexample Scientists and mathematicians look for patterns and try to
More informationNS538 Remainders and NS539 Dividing with Remainders
:1 PAGE 8990 NS538 Remainders and NS539 Dividing with Remainders GOALS Students will divide with remainders using pictures, number lines and skip counting. Draw: 6 3 = 2 7 3 = 2 Remainder 1 8 3 = 2
More informationPerimeter, Area, and Volume
Perimeter, Area, and Volume Perimeter of Common Geometric Figures The perimeter of a geometric figure is defined as the distance around the outside of the figure. Perimeter is calculated by adding all
More informationOverview. Essential Questions. Grade 7 Mathematics, Quarter 3, Unit 3.3 Area and Circumference of Circles. Number of instruction days: 3 5
Area and Circumference of Circles Number of instruction days: 3 5 Overview Content to Be Learned Develop an understanding of the formulas for the area and circumference of a circle. Explore the relationship
More informationCalculating Area, Perimeter and Volume
Calculating Area, Perimeter and Volume You will be given a formula table to complete your math assessment; however, we strongly recommend that you memorize the following formulae which will be used regularly
More informationUnit 6. Five daily lessons. Year 3 Autumn term. Unit Objectives Year 3. Resources needed to teach this unit: Shape and space Reasoning about shapes
Unit 6 Shape and space Reasoning about shapes Five daily lessons Year 3 Autumn term Classify and describe 3D and 2D shapes, referring to reflective symmetry, faces, sides/edges, vertices, angles. (pages
More informationMathematics Curricular Guide SIXTH GRADE SCHOOL YEAR. Updated: Thursday, December 02, 2010
Mathematics Curricular Guide SIXTH GRADE 20102011 SCHOOL YEAR 1 MATHEMATICS SCOPE & SEQUENCE Unit Title Dates Page 1. CMP 2 Bits and Pieces I... 3 2. How Likely Is It? (Probability)... 6 3. CMP 2 Bits
More informationPerimeter. 14ft. 5ft. 11ft.
Perimeter The perimeter of a geometric figure is the distance around the figure. The perimeter could be thought of as walking around the figure while keeping track of the distance traveled. To determine
More informationAccommodated Lesson Plan on Solving Systems of Equations by Elimination for Diego
Accommodated Lesson Plan on Solving Systems of Equations by Elimination for Diego Courtney O Donovan Class: Algebra 1 Day #: 67 Grade: 8th Number of Students: 25 Date: May 1213, 2011 Goal: Students will
More informationLESSON 7 Don t Be A Square by Michael Torres
CONCEPT AREA GRADE LEVEL Measurement 56 TIME ALLOTMENT Two 60minute sessions LESSON OVERVIEW LESSON ACTIVITIES OVERVIEW LEARNING OBJECTIVES STANDARDS (TEKS) Students will learn the relationship between
More information16 Circles and Cylinders
16 Circles and Cylinders 16.1 Introduction to Circles In this section we consider the circle, looking at drawing circles and at the lines that split circles into different parts. A chord joins any two
More informationHow do you compare numbers? On a number line, larger numbers are to the right and smaller numbers are to the left.
The verbal answers to all of the following questions should be memorized before completion of prealgebra. Answers that are not memorized will hinder your ability to succeed in algebra 1. Number Basics
More informationArea of Parallelograms, Triangles, and Trapezoids (pages 314 318)
Area of Parallelograms, Triangles, and Trapezoids (pages 34 38) Any side of a parallelogram or triangle can be used as a base. The altitude of a parallelogram is a line segment perpendicular to the base
More informationArea of Circles. Say Thanks to the Authors Click http://www.ck12.org/saythanks (No sign in required)
Area of Circles Say Thanks to the Authors Click http://www.ck12.org/saythanks (No sign in required) To access a customizable version of this book, as well as other interactive content, visit www.ck12.org
More information8 th Grade Task 2 Rugs
8 th Grade Task 2 Rugs Student Task Core Idea 4 Geometry and Measurement Find perimeters of shapes. Use Pythagorean theorem to find side lengths. Apply appropriate techniques, tools and formulas to determine
More informationWhere Do We Meet? Students will represent and analyze algebraically a wide variety of problem solving situations.
Beth Yancey MAED 591 Where Do We Meet? Introduction: This lesson covers objectives in the algebra and geometry strands of the New York State standards for Algebra I. The students will use the graphs of
More informationPerformance Based Learning and Assessment Task Confetti Task
Performance Based Learning and Assessment Task Confetti Task I. ASSESSMENT TASK OVERVIEW & PURPOSE: In this task, Geometry students will investigate how surface area and volume is used to estimate the
More informationHow Strong Is It? The earth's gravity pulls any object on or near the earth toward it without touching it. 4G/E1*
How Strong Is It? Lesson Overview: Overview: Students frequently use Postit Notes but seldom give thought to using a Postit Notes to learn and practice the skills of inquiry. Postit Notes readily stick
More informationAP Physics 1. Calculating the value of Pi Example 2015 2016 1 2
AP Physics 1 Kevin J. Kukla 201 2016 1 AP Physics 1 Lab Journal Guidelines Calculating the value of Pi Example 201 2016 1 2 Lab Journal Guidelines (I) Purpose of Lab Lab Question: The purpose of this lab
More information2 Mathematics Curriculum
New York State Common Core 2 Mathematics Curriculum GRADE GRADE 2 MODULE 3 Topic G: Use Place Value Understanding to Find 1, 10, and 100 More or Less than a Number 2.NBT.2, 2.NBT.8, 2.OA.1 Focus Standard:
More informationMeasuring with a Ruler
Measuring with a Ruler Objective To guide children as they measure line segments to the nearest inch, _ inch, _ inch, centimeter, _ centimeter, and millimeter. www.everydaymathonline.com epresentations
More informationMathematics Success Grade 8
T92 Mathematics Success Grade 8 [OBJECTIVE] The student will create rational approximations of irrational numbers in order to compare and order them on a number line. [PREREQUISITE SKILLS] rational numbers,
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 informationFundamentals of Geometry
10A Page 1 10 A Fundamentals of Geometry 1. The perimeter of an object in a plane is the length of its boundary. A circle s perimeter is called its circumference. 2. The area of an object is the amount
More informationCalculating the Surface Area of a Cylinder
Calculating the Measurement Calculating The Surface Area of a Cylinder PRESENTED BY CANADA GOOSE Mathematics, Grade 8 Introduction Welcome to today s topic Parts of Presentation, questions, Q&A Housekeeping
More informationGAP CLOSING. 2D Measurement. Intermediate / Senior Student Book
GAP CLOSING 2D Measurement Intermediate / Senior Student Book 2D Measurement Diagnostic...3 Areas of Parallelograms, Triangles, and Trapezoids...6 Areas of Composite Shapes...14 Circumferences and Areas
More informationOA413 Rounding on a Number Line Pages 80 81
OA413 Rounding on a Number Line Pages 80 81 STANDARDS 3.NBT.A.1, 4.NBT.A.3 Goals Students will round to the closest ten, except when the number is exactly halfway between a multiple of ten. PRIOR KNOWLEDGE
More informationQuick Reference ebook
This file is distributed FREE OF CHARGE by the publisher Quick Reference Handbooks and the author. Quick Reference ebook Click on Contents or Index in the left panel to locate a topic. The math facts listed
More informationArea LongTerm Memory Review Review 1
Review 1 1. To find the perimeter of any shape you all sides of the shape.. To find the area of a square, you the length and width. 4. What best identifies the following shape. Find the area and perimeter
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 informationInv 1 5. Draw 2 different shapes, each with an area of 15 square units and perimeter of 16 units.
Covering and Surrounding: Homework Examples from ACE Investigation 1: Questions 5, 8, 21 Investigation 2: Questions 6, 7, 11, 27 Investigation 3: Questions 6, 8, 11 Investigation 5: Questions 15, 26 ACE
More informationGAP 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 2D Measurement Diagnostic...4 Administer the diagnostic...4 Using diagnostic results to personalize interventions...4
More informationTitle: Surface Area and Volume
X Stackable Cert. Documentation Technology Study / Life skills ELCivics Career Pathways Police Paramedic Fire Rescue Medical Asst. EKG / Cardio Phlebotomy Practical Nursing Healthcare Admin Pharmacy Tech
More informationSimplifying Expressions: Combining Like Terms Objective To simplify algebraic expressions by combining like terms.
Simplifying Expressions: Combining Like Terms Objective To simplify algebraic expressions by combining like terms. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop
More information43 Perimeter and Area
43 Perimeter and Area Perimeters of figures are encountered in real life situations. For example, one might want to know what length of fence will enclose a rectangular field. In this section we will study
More informationSURFACE AREA AND VOLUME
SURFACE AREA AND VOLUME In this unit, we will learn to find the surface area and volume of the following threedimensional solids:. Prisms. Pyramids 3. Cylinders 4. Cones It is assumed that the reader has
More informationNumber Models for Area
Number Models for Area Objectives To guide children as they develop the concept of area by measuring with identical squares; and to demonstrate how to calculate the area of rectangles using number models.
More informationSame Area, Different Perimeter; Same Perimeter, Different Area
s e s s i o n 2. 5 A Same Area, Different Perimeter; Same Perimeter, Different Area Math Focus Points Using tiles to find the area and perimeter of a rectangle Understanding that rectangles can have the
More informationPostulate 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) 111: 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
More informationIntroduction and Overview
Introduction and Overview Probability and Statistics is a topic that is quickly growing, has become a major part of our educational program, and has a substantial role in the NCTM Standards. While covering
More informationCOMPASS Numerical Skills/PreAlgebra Preparation Guide. Introduction Operations with Integers Absolute Value of Numbers 13
COMPASS Numerical Skills/PreAlgebra Preparation Guide Please note that the guide is for reference only and that it does not represent an exact match with the assessment content. The Assessment Centre
More informationFormulas for Area Area of Trapezoid
Area of Triangle Formulas for Area Area of Trapezoid Area of Parallelograms Use the formula sheet and what you know about area to solve the following problems. Find the area. 5 feet 6 feet 4 feet 8.5 feet
More informationCalculating Perimeter
Calculating Perimeter and Area Formulas are equations used to make specific calculations. Common formulas (equations) include: P = 2l + 2w perimeter of a rectangle A = l + w area of a square or rectangle
More information1.6 The Order of Operations
1.6 The Order of Operations Contents: Operations Grouping Symbols The Order of Operations Exponents and Negative Numbers Negative Square Roots Square Root of a Negative Number Order of Operations and Negative
More informationPaper 1. Calculator not allowed. Mathematics test. First name. Last name. School. Remember KEY STAGE 3 TIER 4 6
Ma KEY STAGE 3 Mathematics test TIER 4 6 Paper 1 Calculator not allowed First name Last name School 2007 Remember The test is 1 hour long. You must not use a calculator for any question in this test. You
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 information1.7 Find Perimeter, Circumference,
.7 Find Perimeter, Circumference, and rea Goal p Find dimensions of polygons. Your Notes FORMULS FOR PERIMETER P, RE, ND CIRCUMFERENCE C Square Rectangle side length s length l and width w P 5 P 5 s 5
More informationDraft copy. Circles, cylinders and prisms. Circles
12 Circles, cylinders and prisms You are familiar with formulae for area and volume of some plane shapes and solids. In this chapter you will build on what you learnt in Mathematics for Common Entrance
More informationPythagorean Triples. Chapter 2. a 2 + b 2 = c 2
Chapter Pythagorean Triples The Pythagorean Theorem, that beloved formula of all high school geometry students, says that the sum of the squares of the sides of a right triangle equals the square of the
More informationDATE PERIOD. Estimate the product of a decimal and a whole number by rounding the Estimation
A Multiplying Decimals by Whole Numbers (pages 135 138) When you multiply a decimal by a whole number, you can estimate to find where to put the decimal point in the product. You can also place the decimal
More informationGRADE SIXCONTENT STANDARD #4 EXTENDED LESSON A Permission Granted. Making a Scale Drawing A.25
GRADE SIXCONTENT STANDARD #4 EXTENDED LESSON A Permission Granted Making a Scale Drawing Introduction Objective Students will create a detailed scale drawing. Context Students have used tools to measure
More informationAll the examples in this worksheet and all the answers to questions are available as answer sheets or videos.
BIRKBECK MATHS SUPPORT www.mathsupport.wordpress.com Numbers 3 In this section we will look at  improper fractions and mixed fractions  multiplying and dividing fractions  what decimals mean and exponents
More information