The World s Mouth Festival

Similar documents
Student Outcomes. Lesson Notes. Classwork. Exercises 1 3 (4 minutes)

Show that when a circle is inscribed inside a square the diameter of the circle is the same length as the side of the square.

Circumference CHAPTER. 1

All I Ever Wanted to Know About Circles

Characteristics of the Four Main Geometrical Figures

Circles: Circumference and Area Lesson Plans

Tallahassee Community College PERIMETER

Solids. Objective A: Volume of a Solids

Math. Rounding Decimals. Answers. 1) Round to the nearest tenth ) Round to the nearest whole number

ACTIVITY: Finding a Formula Experimentally. Work with a partner. Use a paper cup that is shaped like a cone.

DATE PERIOD. Estimate the product of a decimal and a whole number by rounding the Estimation

Objective: To distinguish between degree and radian measure, and to solve problems using both.

Teacher Answer Key: Measured Turns Introduction to Mobile Robotics > Measured Turns Investigation

Tangent Properties. Line m is a tangent to circle O. Point T is the point of tangency.

PERIMETER AND AREA. In this unit, we will develop and apply the formulas for the perimeter and area of various two-dimensional figures.

16 Circles and Cylinders

Geometry Notes VOLUME AND SURFACE AREA

Circumference of a Circle

Perimeter, Area, and Volume

Unit 3 Practice Test. Name: Class: Date: Multiple Choice Identify the choice that best completes the statement or answers the question.

Prentice Hall Mathematics Courses 1-3 Common Core Edition 2013

Postulate 17 The area of a square is the square of the length of a. Postulate 18 If two figures are congruent, then they have the same.

Lesson 21. Circles. Objectives

Calculating the Surface Area of a Cylinder

Circumference and Area of a Circle

Chapter 7 Quiz. (1.) Which type of unit can be used to measure the area of a region centimeter, square centimeter, or cubic centimeter?

YOU MUST BE ABLE TO DO THE FOLLOWING PROBLEMS WITHOUT A CALCULATOR!

Geometry Notes PERIMETER AND AREA

Hidden Treasure: A Coordinate Game. Assessment Management. Matching Number Stories to Graphs

Geometry of 2D Shapes

Charlesworth School Year Group Maths Targets

Cylinder Volume Lesson Plan

Geometry Unit 6 Areas and Perimeters

Objective To introduce a formula to calculate the area. Family Letters. Assessment Management

Perimeter. 14ft. 5ft. 11ft.

Discovery of Pi: Day 1

Arc Length and Areas of Sectors

Angle - a figure formed by two rays or two line segments with a common endpoint called the vertex of the angle; angles are measured in degrees

1. Kyle stacks 30 sheets of paper as shown to the right. Each sheet weighs about 5 g. How can you find the weight of the whole stack?

PIZZA! PIZZA! TEACHER S GUIDE and ANSWER KEY

Volume of Right Prisms Objective To provide experiences with using a formula for the volume of right prisms.

Geometry Chapter 10 Study Guide Name

SA B 1 p where is the slant height of the pyramid. V 1 3 Bh. 3D Solids Pyramids and Cones. Surface Area and Volume of a Pyramid

2nd Semester Geometry Final Exam Review

Kristen Kachurek. Circumference, Perimeter, and Area Grades Day lesson plan. Technology and Manipulatives used:

9 Area, Perimeter and Volume

Teacher Page Key. Geometry / Day # 13 Composite Figures 45 Min.

Perimeter is the length of the boundary of a two dimensional figure.

FCAT FLORIDA COMPREHENSIVE ASSESSMENT TEST. Mathematics Reference Sheets. Copyright Statement for this Assessment and Evaluation Services Publication

7.4A/7.4B STUDENT ACTIVITY #1

TeeJay Publishers General Homework for Book 3G Ch 9 - circles. Circles

Dŵr y Felin Comprehensive School. Perimeter, Area and Volume Methodology Booklet

7 th Grade Math Foundations for Teaching Unit One: Numbers & Operations Module One: Rational Number s

Lesson 2: Circles, Chords, Diameters, and Their Relationships

Unit 5 Length. Year 4. Five daily lessons. Autumn term Unit Objectives. Link Objectives

Area, Perimeter, Volume and Pythagorean Theorem Assessment

2006 Geometry Form A Page 1

Discovering Math: Exploring Geometry Teacher s Guide

CCGPS UNIT 3 Semester 1 ANALYTIC GEOMETRY Page 1 of 32. Circles and Volumes Name:

Pizza! Pizza! Assessment

Applications for Triangles

2. Complete the table to identify the effect tripling the radius of a cylinder s base has on its volume. Cylinder Height (cm) h

Lesson 19: Equations for Tangent Lines to Circles

GAP CLOSING. 2D Measurement. Intermediate / Senior Student Book

Unit 1 Number Sense. In this unit, students will study repeating decimals, percents, fractions, decimals, and proportions.

Grade 7 Circumference

Geometry and Measurement

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

ax 2 by 2 cxy dx ey f 0 The Distance Formula The distance d between two points (x 1, y 1 ) and (x 2, y 2 ) is given by d (x 2 x 1 )

Inv 1 5. Draw 2 different shapes, each with an area of 15 square units and perimeter of 16 units.

Measuring the Diameter of the Sun

UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS International General Certificate of Secondary Education

Five daily lessons. Page 23. Page 25. Page 29. Pages 31

ChE-1800 H-2: Flowchart Diagrams (last updated January 13, 2013)

Shape Dictionary YR to Y6

MCA Formula Review Packet

How do you compare numbers? On a number line, larger numbers are to the right and smaller numbers are to the left.

The relationship between the volume of a cylinder and its height and radius

CK-12 Geometry: Parts of Circles and Tangent Lines

GEOMETRY B: CIRCLE TEST PRACTICE

Student Teaching Observation Lesson Plan 5: Area and Circumference of Circles

Area is a measure of how much space is occupied by a figure. 1cm 1cm

General Allowances for Insulation & Cladding

Force on a square loop of current in a uniform B-field.

Geometry Solve real life and mathematical problems involving angle measure, area, surface area and volume.

Name: Class: Date: Multiple Choice Identify the choice that best completes the statement or answers the question.

Objective To introduce the concept of square roots and the use of the square-root key on a calculator. Assessment Management

SURFACE TENSION. Definition

The Distance Formula and the Circle

MEASUREMENTS. U.S. CUSTOMARY SYSTEM OF MEASUREMENT LENGTH The standard U.S. Customary System units of length are inch, foot, yard, and mile.

Grade 8 Mathematics Measurement: Lesson 6

Week 1 Chapter 1: Fundamentals of Geometry. Week 2 Chapter 1: Fundamentals of Geometry. Week 3 Chapter 1: Fundamentals of Geometry Chapter 1 Test

MATH STUDENT BOOK. 6th Grade Unit 8

OA4-13 Rounding on a Number Line Pages 80 81

Quick Reference ebook

Area and Circumference

Area of Parallelograms (pages )

EMAT Mathematics in Context

Math 2201 Chapter 8 Review

12 Surface Area and Volume

Transcription:

CODE OF AEGIS Powered by Tietronix Software PART 2 - CHAPTER 2 The World s Mouth Festival In this chapter, students will program a robot to move a specific distance by determining the number of wheel rotations the robot should travel. They will be given the diameter of the robot s wheel. Within the storyline of this chapter, students will learn how to find circumference of a wheel based on its diameter. An animation of this concept is provided. Students will then use the circumference to determine how many wheel rotations a robot should perform to travel a designated distance. They will have two missions that require them to use this knowledge and will be assessed through multiple choice questions as well as by the flowcharts and code that they write. LEARNING OBJECTIVES Students will: Determine the circumference of a wheel. Calculate the number of wheel rotations required to travel a specific distance. Create flowcharts and code to program a robot move the forward, backward, and turn. VOCABULARY Circumference (C): The distance around the outside of a circle. Diameter (d): A segment that connects two points on a circle and travels through the center of the circle. Degree: A unit of measurement of angles, one threehundred-and-sixtieth of the circumference of a circle. Perpendicular: An angle of 90 to a given line, plane, or surface. For example, the two lines that form a + sign are perpendicular. KEY TOPICS Finding Circumference Applications of Circumference Basic Code ESTIMATED TIME TO COMPLETE LESSON Introduction: 15 min Gameplay: 45 min Conclusion: 5 min STANDARDS ALIGNMENT Next Generation Science Standards MS-ETS1-1; MS-ETS1-3; MS-ETS1-4 Common Core State Standards MATH.CONTENT 6.EE.A.2; 6.EE.B.7; 6.EE.C.9; 7.EE.B.3; 7.EE.B.4; 7.G.A.1; 7.G.B.4; 8.NS.A.2 ELA-LITERACY.RST.6-8.3; 6-8.4; 6-8.7 Standards for Technological Literacy Nature of Technology: 2.R; 2.AA; Design: 8.E, 8.G; 9.H; 10.F; 10.H; Abilities for a technological world: 11.K; 11.I; 11.L; 11.O; 12.H; 12.J; 12.L See Standards Alignment document for full detailed list of standards. www.codeofaegis.com PART 2 - CHAPTER 2 PAGE 1

LESSON INTRODUCTION Introduce the lesson by telling students that you will be playing the role of a robot and you want them to give you instructions to perform a simple task. An example task could be to walk to the door and open it. Ask for a volunteer to give you instructions and follow them to perform the task. Ask if anyone can give you a different set of instructions that would also lead you to perform the task correctly. Then follow their instructions. After you have done this two or three times, emphasize that there are often multiple ways of programming a robot to perform a task. Remind students that in their previous gameplay they learned a way to program a robot to move based on distance, rate, and time. Explain that this chapter will teach a second way based on the size of the robot s wheels. Before they start playing this chapter, you may want to review what students know about circles and circumference to help them be successful. CHAPTER QUESTION(S) AND SOLUTION GUIDE 1. The wheels currently on your robot have a diameter of 15 cm. Use that to find the wheels circumference. Make sure the final answer is in meters and always round to the nearest hundredth. a. The circumference is the diameter times pi, so 15 cm times 3.14 is 47.1 cm which is 0.47 m. b. The circumference is the diameter times pi, so 15 cm times 3.14 is 47.1 cm which is 4.71 m. c. The circumference is the radius times pi, so 7.5 cm times 3.14 is 23.55 cm which is 0.24 m. d. The circumference is the pi times the radius squared, so 3.14 times 7.5 squared is 176.63 cm which is 1.77 m. 2. Students are provided a completed flowchart and asked to fill in the parameters on the following code so the robot will travel 5 meters to the flag, scan, and return. www.codeofaegis.com PART 2 - CHAPTER 2 PAGE 2

Solution: Use the circumference of the Regular Terrain wheels found in question one, 0.47 m and the given map to determine the rotations needed in the code. 5 m = 10.64 rotations 0.47 m 3. Students are given the following map and asked to write a flowchart and code to travel to the flag, scan, and return. Flowchart Solution (one example): www.codeofaegis.com PART 2 - CHAPTER 2 PAGE 3

Code Solution (one example): Step 1: find the wheel rotations needed to travel for 5 m and for 4 m. 5 m 4 m = 10.64 rotations, = 8.51 rotations 0.47 m 0.47 m Step 2: write code 4. After the robot slides on some hydra glass in the tunnel, students will need to rebuild the robot with Hydra Glass wheels that have a diameter of 0.18 m and revise the code. Code Solution: Step 1: find the new circumference. C = 3.14 0.18 m C = 0.57 m Step 2: find the wheel rotations needed to travel for 5 m and for 4 m. 5 m 4 m = 8.77 rotations, = 7.02 rotations 0.57 m 0.57 m Step 3: revise code 5. The previous mission is successful and the scan shows a translation relic. Students are instructed to replace the scanner on the robot with a scoop and revise the flowchart and code. www.codeofaegis.com PART 2 - CHAPTER 2 PAGE 4

Flowchart Solution (optional): Code Solution: Note: This solution is based on the Hydra Glass wheels with a diameter of.18 m. These wheels are required for a successful mission. LESSON CONCLUSION Discuss different ways students learned to program a robot to move (time and wheel rotations). Discuss what is information is needed for each method. Go over any questions or comments students had from the gameplay in this chapter. LESSON EXTENSION(S) Give students a homework assignment to program a robot with wheel diameter of 22 cm to move forward 4m, scan, move forward 10 m, scoop, then move backward to the beginning. www.codeofaegis.com PART 2 - CHAPTER 2 PAGE 5