# Chapter 2. Making Shapes

Size: px
Start display at page:

Transcription

1 Chapter 2. Making Shapes Let's play turtle! You can use your Pencil Turtle, you can use yourself, or you can use some of your friends. In fact, why not try all three? Rabbit Trail 4. Body Geometry Can you use your fingers to make a shape that looks like a square? Not too easy, is it. So try this one Get with a friend. Hold you arms out. Can you make a better square now? Get a bunch of friends together and make a big circle. Now make a very small circle. What do you have to do to make a triangle? Can you make a triangle by yourself? Or do you need some friends to help you out. Playing turtle gives you an idea of just what it takes to make different shapes. 39

2 Exploring Squares Let s start with an easy shape like a square. Do you know what makes a square different from, say, a triangle? Or a rectangle? Well, for one thing, all the sides of a square are the same size. Tell the turtle to go HOME not on the computer you re still doing Body Geometry, remember? Pretend that HOME is in the middle of the room or the middle of your paper. Now what commands must you give the turtle to draw a square? 1. FORWARD TURTLE STEPS Are you going to make a BIG square or a little square? 2. RIGHT TURTLE TURNS You can turn left if you want. But how many turns do you have to make? 30? 67? 105? 298? We ve already done this, don t you remember? It was when we were talking about turtle turns. If you forget, why not turn back and find it again. 40

3 3. FORWARD TURTLE STEPS Fill in the blank with the same number of steps that you did in step RIGHT TURTLE TURNS How many turns should you make here? Should this be the same number of turns as you made in step 2? 5. FORWARD TURTLE STEPS You should already know how many steps to go this time. 6. RIGHT TURTLE TURNS How many turtle turns this time? 7. FORWARD TURTLE STEPS 8. RIGHT TURTLE TURNS What did you discover about a square? 41

4 Sure, the four sides have to be the same. But what about the corners? Do they have to be the same? Why? Simple. If they re not the same, you ll end up going off in some strange direction and never make it back HOME. Let's try this on the computer. Click on the MSW Logo icon to open MSW Logo. Then type your commands in the Input Box. FD RT FD RT FD RT FD RT Wow! All the sides and all the corners have to be the same. But that's a lot of typing when you do that three or four times. There has to be an easier way! Repeating Commands Look at all those commands. Do you see what you did? You repeated the commands FD and RT four times. So let's try a new command REPEAT 4 [FD 100 RT 90] 42

5 This tells the turtle to REPEAT the commands inside the brackets four times. Brackets look like square parentheses [ ]. More about these in the next chapter. OK, let's try some other squares. You fill in the steps. The number of turns has to be 90, right? REPEAT 4 [FD RT 90] Make a great big square! REPEAT 4 [FD RT 90] Make a little bitty square! REPEAT 4 [FD RT 90] TERRIFIC! Now for a tough one. Put a square inside a square? That means you have to draw a big square, pick the pen up, move inside the big square, and draw a little square. I left out one of the steps. Think about it. Which one is it? 43

6 Draw a big square. Pick the pen up. Move inside the big square and draw a little square. You can't draw another square until you put the pen back down, right? OK, no more tricks. Put the pen down and then draw a little square. Adventures with Squares There's lots of things you can do with squares. Draw a little square first and then draw a big square around the outside. Draw a big square and then put a little square in the corner. Draw a big square and then stack some other squares on top of it like stacking up boxes. What else can you do with boxes? 44

7 Take a look at these pictures. Can you make these? What s the same about them? What s different? What other things can you make? 45

9 A windmill? Don't forget to write down your ideas. You may just want to use some of these ideas later on. 47

10 Rabbit Trail 5. Logo Puzzles Here s a puzzle for you. Look at this picture. It looks like four squares hooked together, doesn t it. Get some straws or some sticks and make this puzzle on a table top. Now take away just one straw or stick so that there are only three squares left. Can you do that? You can also try solving the puzzle by drawing it on paper or on the computer. Later, after you learn about writing procedures, we ll show you how to have the turtle solve the puzzle for you. 48

11 Adventures with Triangles Now ready to tackle a triangle? What makes a triangle different from a square? That's right, a triangle has three sides and three corners. A square has four of each four equal sides and four equal corners or angles. Working With Angles There s a new word for you. Angles! Is that something like a corner? Draw a line. Turn a number of turtle turns and draw another line. Make it any number of turns. Just like magic there s an angle between the lines, right? But what about on the outside? Is that an angle, too? Sure it is. It s just a big angle. Wow! That s a lotta turtle turns! 49

12 Morf calls them turtle turns. Some other people call them degrees. More about degrees later. Now, what about a triangle? Do all the sides and corners have to be the same or can they be different? If you said the sides and the corners can be different, give yourself a big Gold Star! But there's a funny thing about triangles. If all the sides ARE the same, can the angles be different? Give yourself another Gold Star if you said, No! But how do you know? If all the sides are the same, why do the angles have to be the same? Let's explore some triangles and see if we can figure this out. Get MSW Logo up and running. Let's start where we left off with the squares. FD 100 RT 90 FD

13 OK! Now you have two sides and one angle on the screen. That angle has a special name. It s called a Right Angle. I know, Morf chimed in. That s because the turtle goes to the right! No, I m afraid not, Morf. They call it a right angle because it has 90 degrees. You can make a right angle by turning left. I know that sounds crazy. Just trust me. 90 o right angle 90 turtle turns (A right angle) When you talk about degrees, you use that little o symbol. You ll hear more about angles and degrees later. For now, let s get back to triangles. A triangle has three sides and three angles. So, let's make the corner into a triangle. The easy way is to just type HOME. There's a triangle, three sides and three angles. We know for a fact that two of the sides are equal. You typed FD 100 two times, right? Look at the angle down near HOME. Compare that with the one in the upper right corner. 51

14 Do they look to be the same? Are they the same as the corner you made when you went RT 90? With the turtle at HOME, type RT 90 FD 100 Hey! That looks like three sides of a square. What commands do you need to finish the square? RIGHT 90 sends you in the wrong direction. So try LT 90 FD 100 Now you should be at the upper right corner of a square that is also two triangles, correct? Hiding the Turtle To see your drawing more clearly, let's try a new command. Type HIDETURTLE and press Enter. Ernestine disappears! You can abbreviate HIDETURTLE by typing HT. Now type HOME. To see the turtle again, what do you think the command will be? Sure, SHOWTURTLE. 52

15 SHOWTURTLE - ST HIDETURTLE - HT OK, the turtle is back home. And there's two triangles and a square on the screen. Wow! Look at the angles there at HOME. Compare them with the angles in the upper right corner of the square. Do all four of the angles look the same? You're right. They are the same. Let's check this out. Type CS to clear the screen and take the turtle HOME. Then type REPEAT 4 [CORNER] to draw a square. Now turn RIGHT 45 and go FD 200. What happened? The turtle drew a line right through the upper right corner. Now type HOME and then type REPEAT 2 [CORNER] This takes you to the upper right corner of the square with the turtle facing the bottom of the screen. 53

16 Again turn RIGHT 45 and go FD 200 just like you did before. What happened? The same thing, right? Only this time the turtle drew a line through the lower left corner. Do you think we can make a rule from all this? I think so. Seems to me that when a triangle has two equal sides, you're going to have two equal corners or angles. In the example above, you turned RT 45 twice, correct? Just to make sure, let's try another triangle. Clear the screen. Then try this FD 100 RT FD 100 HOME Add any number you want. Do you see two equal sides and two equal angles there on the screen? Try it again a few times just to be sure. Use lots of different numbers for the turtle turns. FD 100 RT FD 100 HOME FD 100 RT FD 100 HOME FD 100 RT FD 100 HOME 54

17 Seems to work, doesn t it. Do you notice anything else about your triangles? A D B C First you went FD 100. Then you turned right and went FD 100 again. This created the angles A and B in this drawing. When you went home, you created the C and D angles, right? Now let s try something. Type FD 100 RT 60 FD 100 HOME Now type RT 60 / 2 FD 200 That s 60 divided by 2 FD 200. WOW! The angle C is half the number of turns to draw angle A. What about angle D? Type FD 100 RT FD 100 (Fill in a number.) 55

18 Now type RT Fill in the number of turns you just made. What happened? Is the turtle facing the bottom of the screen? Hmmmmm this is getting interesting. Now type RT / 2 FD 200 Fill in the number of turns you made above and divide it by two and then go FD 200. What happened? DOUBLE WOW! You re discovering all sorts of things about triangles! Take another look at the triangle drawing on the last page, the one with angles A, B, C, and D. What do you know now? Angles A + B = 180 Angles C + D = Angle A Angle C = Angle D If all this is true, then Angles B + C + D = 180 So the sum of all the angles in a triangle equal 180. But before we look at more rules Try this one FD 100 RT 120 FD 100 HOME 56 Do you see anything different about this triangle?

19 Let's check this out. Type RT 60 FD 100 What happened? Where s the turtle? Seems all three sides are equal now, aren't they? And if the sides are equal, what about the angles? Well, that's easy to check, too! All you have to do is use the REPEAT command to draw three sides and three corners. REPEAT 3 [FORWARD 100 RIGHT 120] Wow! It works! And just to be completely certain, let's go back to the triangle with two equal sides. Clear the screen and type FD 100 RT 90 FD 100 HOME Now let's check that last line. Turn RIGHT 45 and go FORWARD 100. Did this take you back to the other corner? Rules for Triangles No, not quite. So, looks like you proved something about triangles. 1. If you have three equal sides, you'll have three equal angles. 2. If you have two equal sides, you'll have two equal angles. 3. If you have no equal sides, none of the angles will be equal. 4. The sum of the three angles in a triangle equal 180 degrees. 57

20 Looks like Logy got into a bit of trouble exploring triangles. How about you? 58

21 What about an hourglass? Looks like a bowtie! Try a butterfly? 59

22 Rabbit Trail 6. More Logo Puzzles Here s some more Logo puzzles to do using a pencil and paper. Draw each of these figures without retracing any line, and without lifting your pencil from the paper. Later on, you ll find Logo procedures that will solve the puzzles for you. 60

23 Adventures with Rectangles Speaking of rules, what about squares and rectangles? We know a square has four equal sides. And, because the four sides are equal, the four angles are equal. What makes a square different from a rectangle? Or is it different? I m confused! Morf, seems like you got yourself into a box; I mean it looks like the box got into you! Let s figure all this out. To start, let's draw rectangles. You fill in the blanks. Rectangle #1 Rectangle #2 FD RT FD RT FD FD RT FD RT FD 61

24 RT FD RT RT FD RT What rules did you discover when trying to draw a rectangle? Can you draw a rectangle where all four sides are different lengths? Not very easily, right? Can you draw a rectangle with only two equal sides the other two would be unequal? Nope, that didn't work either, did it. What about this blackboard? Is that a rectangle? Can you draw a rectangle that has two sets of equal sides; where two sides are 100 steps long and two other sides are 200 steps long? Yes! That's something you can do! 62

25 What does this tell you about the angles? They all have to be 90 turtle turns, or 90 degrees just like the square. Go ahead. Try stacking up some rectangles. REPEAT 2 [FD RT 90 FD RT 90] REPEAT 2 [FD RT 90 FD RT 90] REPEAT 2 [FD RT 90 FD RT 90] REPEAT 2 [FD RT 90 FD RT 90] REPEAT 2 [FD RT 90 FD RT 90] What happens when you make the number of turtle steps the same for both blanks? You got it! That's a square! 63

26 Rectangle Rules So, I guess you can make some rules about rectangles and squares. 1. A rectangle has to have four equal angles and four sides. 2. A square is a rectangle with four equal sides and four equal angles. 3. A rectangle has two sets of equal sides. One more thing what s the sum of the angles of a rectangle? Awfully simple? Or simply awful? 64

27 Rabbit Trail 7. Logy s Oneliners OK, so this one isn t off the computer. But it s a Rabbit Trail just the same. And it gives you the chance to use your shapes commands. Think about all the things you know how to do now. You can move Ernestine around the screen. You can draw squares, rectangles, and triangles using the REPEAT command. Why not put them all together in a Big, Fantastic, Gorgeous oneliner. What's a oneliner? Well, why not start with this one. It uses a square. REPEAT 12 [REPEAT 4 [FD 100 RT 90] RT 30] Add a stem and it looks like a flower, doesn't it? 65

28 REPEAT 6 [FD 100 [REPEAT 6 [FD 10 BK 10 RT 60] BK 100 RT 60] What's that look like? REPEAT 6 [FD 100 REPEAT 60 [FD 20 BK 20 RT 6] RT 60] What about this one? All of these are nice shapes. But why not some crazy shapes just to discover what you the turtle can do. REPEAT 12 [FD RT BK LT Now why not see who can come up the prettiest or the fanciest one-liner. Try It on Paper Dreaming up one-liners can be tough sometimes. So why not try it on paper? Draw a design or a picture using just one shape. Earlier in this chapter, you saw a caterpillar made from squares. Now what can you do with triangles or rectangles? A young lady in the third grade drew a cat using just triangles. Then she drew it on the computer so she could print it to show to her family. Think of what you can do with just one shape? 66

29 Let s Review This is really like a test to see if you know where to find the answers if you need to. Sometimes it is more important to know where to find answers than it is to know the answers. Anyway, we call this a Review because when I mention the word, Test, Morf runs off and hides. A square has sides and angles, all of which are. A triangle has sides and angles. A rectangle has sides and angles, all of which are. To make the corner of a square, you have to turn turtle turns. To make the corner of a triangle with equal sides, you make turtle turns. If you add up all the angles of a square, you get = If you add the angles of a triangle, you get. 67

30 + + = If you add up all the angles of a rectangle, you get. (That s just like a square and you ve already done that, right?) Now look at your answers. See something strange there? Do you think that may be important? We ll see later on. We ve got lots more to learn about shapes. Rabbit Trail 8. Clocks and Walnuts and Other Stuff Do you need some help understanding angles, degrees, and things? Well, here s some ideas you can use to make some sense out of this. The Turtle s Clock Let s start with a clock. If you can tell time, you can understand angles and degrees. You ll need some help from your friends or the others in your class. You ll also need a large room or a big space outside. The last thing you ll need is a long piece of string or rope; at least as wide as your circle will be. The first thing to do is draw a large chalk circle on the floor. 1. Have one person hold the string down on the floor in the center of the room. 2. Stretch the string out to where you want the edge of the circle to be. 3. At the edge of the circle, wrap the string around the 68

31 chalk a few times. 4. With the chalk on the floor, keep the string tight and walk in a circle around the person in the middle. Make sure the middle person turns with you so the string doesn t get wrapped around their legs or something. This shows the chalk circle being drawn. Middle person String Chalk 5. When your circle is complete, stretch your string across the middle of the circle from top to bottom. 6. Mark the top and bottom positions on the circle as 12:00 o clock and 6:00 o clock. 7. Stretch the string across the middle of the circle from side to side. This should divide the circle into four equal parts. Mark the side positions as 3:00 o clock to the right of 12:00 o clock and 9:00 o clock to the left. 8. With the string stretched across the center of the circle, mark off the positions for 1:00 o clock and 7:00 o clock, 2:00 o clock and 8:00 o clock, 4:00 o clock and 10:00 o clock, 5:00 o clock and 11:00 o clock. 69

32 Now you have a clock face on the floor. If you re at Home facing 12:00 o clock, what time will it be if you turn RIGHT 90? 3:00 o clock, right? If you turn RIGHT 90 again, what time is it? 6:00 o clock, right? Turn RIGHT 90 again and it s 9:00 o clock. Turn RIGHT 90 again and you re back at 12:00 o clock again. You turned RIGHT 90 four times for a total of 360 o or 360 turtle turns. There s that number, 360, again. Standing at Home and looking at 12:00 o clock, turn to 1:00 o clock. If it s 90 turns to 3:00 o clock, how many is it to 1:00 o clock? To 2:00 o clock? Look back to 12:00 o clock. How far will you have to turn to look at 6:00 o clock? How far is it if you turn right? If you turn left? It s the same, isn t it 180 turns each way. Let someone else have a turn playing turtle. If that person faces 6:00 o clock and turns RIGHT 90, where are they facing? Remember the turtle turns from the direction she is facing, so it s 9:00 o clock. 70

33 Don t just play using RIGHT or LEFT 90. What s the turn from 4:00 o clock to 8:00 o clock? From 1:00 o clock to 10:00 o clock? Try out all sorts of turns in both directions. Here s your chance to get used to working with many different angles. There s a clock face with hands on the next page that you can cut out and use for practice. Make copies of the page so that you and your friends can each have your own clock. Use the clock with the hands that are included. Or use your pencil turtle or the walnut turtle described below. The Clock on the Computer Write the numbers 1 through 12 on small stickers you can put on the screen. Start with the turtle at Home and have one of your friends type FD 200 BK 200. Put the 12:00 o clock sticker at the top of the first line. Have the next friend type RT 30 FD 200 BK 200. Put the 1:00 o clock sticker at the end of this line. Continue like this all the way around the circle until you have all twelve numbers on the screen. Does this look like a clock? Have fun with it! Now you can play SIMON SEZ or MOTHER, MAY I on the computer using times instead of distances. Simon Sez turn to 4:30 Simon Sez turn to 11:00 Turn to 9:00 71

34 72

36 74

### Barter vs. Money. Grade One. Overview. Prerequisite Skills. Lesson Objectives. Materials List

Grade One Barter vs. Money Overview Students share the book Sheep in a Shop, by Nancy Shaw, to learn about choice, making decisions, trade, and the barter system. They complete worksheets on comparing

Getting Started in Tinkercad By Bonnie Roskes, 3DVinci Tinkercad is a fun, easy to use, web-based 3D design application. You don t need any design experience - Tinkercad can be used by anyone. In fact,

### Logo for Kids: An Introduction. by Bob DuCharme

: An Introduction by Bob DuCharme Table of Contents To the Adults (and Logophiles)... Before You Get Started...... 1. Robots, Commands, and Turtles... What is Programming, and Why Is It Fun?... 1 Logo

### Turtle Power. Introduction: Python. In this project, you ll learn how to use a turtle to draw awesome shapes and patterns. Activity Checklist

Python 1 Turtle Power All Code Clubs must be registered. By registering your club we can measure our impact, and we can continue to provide free resources that help children learn to code. You can register

### The 5 P s in Problem Solving *prob lem: a source of perplexity, distress, or vexation. *solve: to find a solution, explanation, or answer for

The 5 P s in Problem Solving 1 How do other people solve problems? The 5 P s in Problem Solving *prob lem: a source of perplexity, distress, or vexation *solve: to find a solution, explanation, or answer

### 1 st Grade Math Do-Anytime Activities

1 st Grade Have your child help create a number line (0-15) outside with sidewalk chalk. Call out a number and have your child jump on that number. Make up directions such as Hop to the number that is

### AwanaGames Circle. Official. Diagram 1. Key to diagram: Pin & Striped Bean Bag C Diagonal or Starting Line. B Scoring Pins, or Center.

Official AwanaGames Circle Diagram 1 The AwanaGames Circle is 30 feet in diameter surrounded by a 37-40 foot square. Each team is designated by a color and occupies a quarter-circle or one side of that

### family games Taking the kids swimming is a great way of making sure they re moving around and having fun. And to help you get them into

swim family games Taking the kids swimming is a great way of making sure they re moving around and having fun. And to help you get them into the pool, we ve come up with loads of great swimming games to

### Getting Started with WebSite Tonight

Getting Started with WebSite Tonight WebSite Tonight Getting Started Guide Version 3.0 (12.2010) Copyright 2010. All rights reserved. Distribution of this work or derivative of this work is prohibited

### Area and Perimeter: The Mysterious Connection TEACHER EDITION

Area and Perimeter: The Mysterious Connection TEACHER EDITION (TC-0) In these problems you will be working on understanding the relationship between area and perimeter. Pay special attention to any patterns

### I Miss My Pet: A workbook for children about pet loss

I Miss My Pet. Unpublished workbook, Katie Nurmi 2002 1/30 I Miss My Pet: A workbook for children about pet loss Illustration by Joseph, age 6, The Solid Foundation Association, State College, PA. Developed

### Fun Learning Activities for Mentors and Tutors

Fun Learning Activities for Mentors and Tutors Mentors can best support children s academic development by having fun learning activities prepared to engage in if the child needs a change in academic/tutoring

### THE WISDOM OF 14 ACCOUNTING TEXTBOOKS.

THE WISDOM OF 14 ACCOUNTING TEXTBOOKS. ALL IN ONE FUN, INTERACTIVE GAME. Students get a kick out of learning when it s more engaging than a textbook. Sorry, textbooks. We wrapped up all the stuff they

### LESSON 7: IMPORTING AND VECTORIZING A BITMAP IMAGE

LESSON 7: IMPORTING AND VECTORIZING A BITMAP IMAGE In this lesson we ll learn how to import a bitmap logo, transform it into a vector and perform some editing on the vector to clean it up. The concepts

### Getting to Know God: Who God Is Week 7: God Is Unchanging LEADER PREPARATION

Getting to Know God: Who God Is Week 7: God Is Unchanging This includes: Leader Preparation Lesson Guide LEADER PREPARATION BIBLE BASIS What an amazing thought! While everything else around us is changing,

### Math Games For Skills and Concepts

Math Games p.1 Math Games For Skills and Concepts Original material 2001-2006, John Golden, GVSU permission granted for educational use Other material copyright: Investigations in Number, Data and Space,

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

GAP CLOSING 2D Measurement Intermediate / Senior Student Book 2-D Measurement Diagnostic...3 Areas of Parallelograms, Triangles, and Trapezoids...6 Areas of Composite Shapes...14 Circumferences and Areas

### Solving the Rubik's Revenge (4x4x4) Home Pre-Solution Stuff Step 1 Step 2 Step 3 Solution Moves Lists

Solving your Rubik's Revenge (4x4x4) 07/16/2007 12:59 AM Solving the Rubik's Revenge (4x4x4) Home Pre-Solution Stuff Step 1 Step 2 Step 3 Solution Moves Lists Turn this... Into THIS! To solve the Rubik's

### RATIONALE FOR ADVENTURE TAKEAWAYS FOR CUB SCOUTS. Wolf Handbook, page 266 ADVENTURE REQUIREMENTS

CHARACTER CHARACTER CHARACTER CHARACTER MOTOR AWAY RATIONALE FOR ADVENTURE We live in an electronic world. This adventure gives Wolf Scouts the chance to rely on the power in their own bodies by blowing

### Isaac and Rebekah. (Genesis 24; 25:19-34; 27:1-40) Spark Resources: Spark Story Bibles. Supplies: None. Spark Resources: Spark Bibles

BIBLE SKILLS & GAMES LEADER GUIDE Isaac and Rebekah (Genesis 24; 25:19-34; 27:1-40) Age-Level Overview Age-Level Overview Open the Bible Activate Faith Lower Elementary Workshop Focus: God s promises come

### Phases of the Moon. Preliminaries:

Phases of the Moon Sometimes when we look at the Moon in the sky we see a small crescent. At other times it appears as a full circle. Sometimes it appears in the daylight against a bright blue background.

### Chapter 11. Talk To Your Computer

Chapter 11. Talk To Your Computer One of the more interesting things about the Logo language is list processing. Early computer languages were known as "number crunchers." Everything was represented by

### Original Recipe. Dancing Daisies Quilt

Original Recipe Dancing Daisies Quilt Hi, It's Cathy Victor from "Me and My Mum Quilting" and I'm very pleased and excited to be posting my very first Moda Bake Shop tutorial. This tutorial is for all

### Microsoft Word 1A: Business Letters: Format, Text Wrap, Insert Text Box, Logo

Microsoft Word 1A: Business Letters: Format, Text Wrap, Insert Text Box, Logo Format of a Business Letter: Although there are different formats to use when preparing a business letter, you should always

### Google SketchUp Design Exercise 3

Google SketchUp Design Exercise 3 This advanced design project uses many of SketchUp s drawing tools, and involves paying some attention to the exact sizes of what you re drawing. You ll also make good

### How to Make and Apply Bias Binding by Alisa at Making More with Less (Busy Quilt Mom) for Sew Mama Sew

How to Make and Apply Bias Binding by Alisa at Making More with Less (Busy Quilt Mom) for Sew Mama Sew Bias Binding is an easy way to finish off edges and add interesting detail and colour to your sewing

### Introduction to Google SketchUp (Mac Version)

Introduction to Google SketchUp (Mac Version) This guide is handy to read if you need some basic knowledge to get started using SketchUp. You will see how to download and install Sketchup, and learn how

### Grade 7/8 Math Circles November 3/4, 2015. M.C. Escher and Tessellations

Faculty of Mathematics Waterloo, Ontario N2L 3G1 Centre for Education in Mathematics and Computing Tiling the Plane Grade 7/8 Math Circles November 3/4, 2015 M.C. Escher and Tessellations Do the following

### Independent samples t-test. Dr. Tom Pierce Radford University

Independent samples t-test Dr. Tom Pierce Radford University The logic behind drawing causal conclusions from experiments The sampling distribution of the difference between means The standard error of

### Quick Tricks for Multiplication

Quick Tricks for Multiplication Why multiply? A computer can multiply thousands of numbers in less than a second. A human is lucky to multiply two numbers in less than a minute. So we tend to have computers

### Lesson 26: Reflection & Mirror Diagrams

Lesson 26: Reflection & Mirror Diagrams The Law of Reflection There is nothing really mysterious about reflection, but some people try to make it more difficult than it really is. All EMR will reflect

### >> My name is Danielle Anguiano and I am a tutor of the Writing Center which is just outside these doors within the Student Learning Center.

>> My name is Danielle Anguiano and I am a tutor of the Writing Center which is just outside these doors within the Student Learning Center. Have any of you been to the Writing Center before? A couple

### Banquet with Simon. (Luke 7:36-50) Keep these tips in mind as you welcome kids to the workshop and explore the story together.

BIBLE SKILLS & GAMES LEADER GUIDE Banquet with Simon (Luke 7:36-50) Lower Elementary Workshop Focus: Big or small Jesus forgives it all! Keep these tips in mind as you welcome kids to the workshop and

### 6th Grade Lesson Plan: Probably Probability

6th Grade Lesson Plan: Probably Probability Overview This series of lessons was designed to meet the needs of gifted children for extension beyond the standard curriculum with the greatest ease of use

### Lesson 6: Solomon Writes Many Proverbs

Lesson 6: Solomon Writes Many Proverbs Bible Point: Wisdom means following God s word. 1 Kings 4:29-34; Proverbs 1:1-7 Key Verse: The fear of the Lord is the beginning of wisdom, and knowledge of the Holy

### Welcome to Northern Lights A film about Scotland made by you.

Welcome to Northern Lights A film about Scotland made by you. As part of the Year Of Creative Scotland 2012 we want you to take out a camera and show us what you can see. We are not sure what you will

### Pushes and Pulls. TCAPS Created June 2010 by J. McCain

Pushes and Pulls K i n d e r g a r t e n S c i e n c e TCAPS Created June 2010 by J. McCain Table of Contents Science GLCEs incorporated in this Unit............... 2-3 Materials List.......................................

### Imagine It! ICEBREAKER:

ICEBREAKER: Imagine It! FOCUS: To develop creativity and increase participants comfort with acting in front of a group PURPOSE: To help participants relax before working on their public presentation skills

### STRING TELEPHONES. Education Development Center, Inc. DESIGN IT! ENGINEERING IN AFTER SCHOOL PROGRAMS. KELVIN Stock #651817

STRING TELEPHONES KELVIN Stock #6587 DESIGN IT! ENGINEERING IN AFTER SCHOOL PROGRAMS Education Development Center, Inc. DESIGN IT! Engineering in After School Programs Table of Contents Overview...3...

### STEP 5: Giving Feedback

STEP 5: Giving Feedback Introduction You are now aware of the responsibilities of workplace mentoring, the six step approach to teaching skills, the importance of identifying the point of the lesson, and

### Seriously Simple Sums! Vedic Maths Free Tutorial. Maths Tips and Tricks to Improve Your Math Abilities

Copyright Notice This e-book is free! Maths Tips and Tricks to Improve Your Math Abilities This publication is protected by international copyright laws. You have the author s permission to transmit this

### Appendix 1: Adaptable Email Templates

Appendix 1: Adaptable Email Templates The following emails are included for the benefit of anybody running a similar project. They are provided as templates, so that you don t need to start all of your

### OA3-10 Patterns in Addition Tables

OA3-10 Patterns in Addition Tables Pages 60 63 Standards: 3.OA.D.9 Goals: Students will identify and describe various patterns in addition tables. Prior Knowledge Required: Can add two numbers within 20

### Scripts. WARM MARKET (someone you know of ) CALL BACK SCRIPT (POSTCARDS, ProSTEP, COLD CALLS) SCHEDULE THE LIVE PRESENTATION CALL

Scripts WARM MARKET (someone you know of ) Hi ( ) listen, a group of professionals recently showed me how to cut my taxes by 50%, are you open to that? (If yes schedule the Live Presentation Call.) CALL

### SMART board 101. SMART board 101 Training

SMART board 101 SMART board 101 Training For those who want to learn/remember how to connect it, turn it on, configure it, and feel better about using it at a basic level. We will talk about how the SMART

### Christmas Theme: The Greatest Gift

Christmas Theme: The Greatest Gift OVERVIEW Key Point: Jesus is the greatest gift of all. Bible Story: The wise men brought gifts Bible Reference: Matthew 2:1-2 Challenge Verse: And we have seen and testify

### Create A Collage Of Warped Photos

Create A Collage Of Warped Photos In this Adobe Photoshop tutorial, we re going to learn how to create a collage of warped photos. Now, don t go letting your imagination run wild here. When I say warped,

Module 6.3 Client Catcher The Sequence (Already Buying Leads) Welcome to Module 6.3 of the Client Catcher entitled The Sequence. I recently pulled over 300 of the local lead generation explosion members

### Section 1.5 Exponents, Square Roots, and the Order of Operations

Section 1.5 Exponents, Square Roots, and the Order of Operations Objectives In this section, you will learn to: To successfully complete this section, you need to understand: Identify perfect squares.

### 1. I have 4 sides. My opposite sides are equal. I have 4 right angles. Which shape am I?

Which Shape? This problem gives you the chance to: identify and describe shapes use clues to solve riddles Use shapes A, B, or C to solve the riddles. A B C 1. I have 4 sides. My opposite sides are equal.

### UNDERSTANDING YOUR ONLINE FOOTPRINTS: HOW TO PROTECT YOUR PERSONAL INFORMATION ON THE INTERNET

UNDERSTANDING YOUR ONLINE FOOTPRINTS: HOW TO PROTECT YOUR PERSONAL INFORMATION ON THE INTERNET SPEAKING NOTES FOR GRADES 4 TO 6 PRESENTATION SLIDE (1) Title Slide SLIDE (2) Key Points It can be really

### Project Teamwork. Theme: Cooperative games encourage students to work together as a team while having fun in a positive environment.

Project Teamwork August 2007 Theme: Cooperative games encourage students to work together as a team while having fun in a positive environment. Concepts: 1. Any collection of people has the potential to

### Grade 8 Mathematics Geometry: Lesson 2

Grade 8 Mathematics Geometry: Lesson 2 Read aloud to the students the material that is printed in boldface type inside the boxes. Information in regular type inside the boxes and all information outside

### FIRST GRADE Number and Number Sense

FIRST GRADE Number and Number Sense Hundred Chart Puzzle Reporting Category Number and Number Sense Topic Count and write numerals to 100 Primary SOL 1.1 The student will a) count from 0 to 100 and write

### A PARENT S GUIDE TO CPS and the COURTS. How it works and how you can put things back on track

A PARENT S GUIDE TO CPS and the COURTS How it works and how you can put things back on track HOW YOU CAN USE THIS HANDBOOK We hope that this handbook will be easy for you to use. You can either read through

### Lesson 3. Branches of Government. Student Materials OBJECTIVE FOUNDATIONS UNIT

Teacher Materials Clue leaves Government tree Branches of Government Chart He Does It All Scenario - Three Student Copies also Student Materials Paper & pencils Constitutions or copies of Article 1, 2,

### E-mail Marketing for Martial Arts Schools:

E-mail Marketing for Martial Arts Schools: Tips, Tricks, and Strategies That Will Send a Flood of New Students into Your School Practically Overnight! By Michael Parrella CEO of Full Contact Online Marketing

### Has difficulty with counting reliably in tens from a multiple of ten

Has difficulty with counting reliably in tens from a multiple of ten Opportunity for: looking for patterns 5 YR / 100-square Tens cards (Resource sheet 24) Multiples of ten (10 100) written on A5 pieces

### Following Directions K-2. Time: 15 30 minutes

Following Directions K-2 grades LEVELS Time: 15 30 minutes Materials Teacher Directed Instructions (page ##) Needed: Following Directions Activity Sheet (page ##) Crayons Advance Preparation: Photocopy

### 3 + 7 1 2. 6 2 + 1. 7 0. 1 200 and 30 100 100 10 10 10. Maths in School. Addition in School. by Kate Robinson

1 2. 6 2 + 1. 7 0 10 3 + 7 1 4. 3 2 1 231 200 and 30 100 100 10 10 10 Maths in School Addition in School by Kate Robinson 2 Addition in School Contents Introduction p.3 Adding in everyday life p.3 Coat

### GAP CLOSING. 2D Measurement GAP CLOSING. Intermeditate / Senior Facilitator s Guide. 2D Measurement

GAP CLOSING 2D Measurement GAP CLOSING 2D Measurement Intermeditate / Senior Facilitator s Guide 2-D Measurement Diagnostic...4 Administer the diagnostic...4 Using diagnostic results to personalize interventions...4

### The Chocolate Touch: Chapters 1-2

Complete. The Chocolate Touch: Chapters 1-2 Review 1. What did John find unusual about the man inside the store? 2. Why didn't John make it to Susan's house? 3. Is this book written from a first or third

### Chapter 2 How To Cheat A Barre Chord

Chapter 2 How To Cheat A Barre Chord Now that you ve learned a variety of chords in different positions, there are times that we want to eliminate some of the notes. I know, in the previous chapter I explained

### Tessellating with Regular Polygons

Tessellating with Regular Polygons You ve probably seen a floor tiled with square tiles. Squares make good tiles because they can cover a surface without any gaps or overlapping. This kind of tiling is

### Advanced Techniques for the Walkingbass

Advanced Techniques for the Walkingbass I have seen guys with 5 string basses who can t get half the sounds that you are getting out of just three. -Buddy Fo of the Invitations If you have read the Beginners

### Jamming With Friends

Jamming With Friends How to set up your first jam session and invite your friends Use this document as a guide to configuring your first webinar with WebinarJam Studio. We ll walk you through how to create

### Shapes & Designs Notes

Problem 1.1 Definitions: regular polygons - polygons in which all the side lengths and angles have the same measure edge - also referred to as the side of a figure tiling - covering a flat surface with

### The Ten Commandments

The Ten Commandments Teacher Pep Talk: God had miraculously led His people (the Israelites) out of Egypt and safely through the Red Sea. Now at long last the Israelites had arrived at the mountain of God.

### Grade 1 Geometric Shapes Conceptual Lessons Unit Outline Type of Knowledge & SBAC Claim Prerequisite Knowledge:

Grade 1 Geometric Shapes Conceptual Lessons Unit Outline Type of Knowledge & SBAC Claim Prerequisite Knowledge: Standards: Lesson Title and Objective/Description Shape names: square, rectangle, triangle,

### Grade 4 Mathematics Patterns, Relations, and Functions: Lesson 1

Grade 4 Mathematics Patterns, Relations, and Functions: Lesson 1 Read aloud to the students the material that is printed in boldface type inside the boxes. Information in regular type inside the boxes

### THE WINNING ROULETTE SYSTEM.

THE WINNING ROULETTE SYSTEM. Please note that all information is provided as is and no guarantees are given whatsoever as to the amount of profit you will make if you use this system. Neither the seller

### TeachingEnglish Lesson plans. Kim s blog

Worksheets - Socialising (3): Social networking TeachingEnglish Lesson plans Previous post Posted Friday, 25 th November by Kim Kim s blog Next post What I learned about social networking I used to think

### Glow-in-the-Dark Geometry

The Big Idea Glow-in-the-Dark Geometry This week you ll make geometric shapes out of glow sticks. The kids will try all sizes and shapes of triangles and quadrilaterials, then lay out sticks in mystical

### Lowercase Letters Capital Letters Picture Cards

Lowercase Letters Capital Letters Picture Cards Notes: You may want to cut out the flashcards and mount them on heavier paper for durability and ease of use. Rather than drilling through the cards (boring

### God Sends the Holy Spirit (Pentecost)

God Sends the Holy Spirit (Pentecost) Teacher Pep Talk: It had been 10 days since Jesus ascended into Heaven. He had promised to send the Holy Spirit to be with His disciples forever. On Pentecost, when

### Unit 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 L-34) is a summary BLM for the material

### [Not for Circulation]

Using SMART Notebook SMART Notebook is software meant to supplement use with the SMART Board. The software helps users create interactive presentations, and offers a variety of ways to enhance presenting

### A: We really embarrassed ourselves last night at that business function.

Dialog: VIP LESSON 049 - Future of Business A: We really embarrassed ourselves last night at that business function. B: What are you talking about? A: We didn't even have business cards to hand out. We

### Kenken For Teachers. Tom Davis tomrdavis@earthlink.net http://www.geometer.org/mathcircles June 27, 2010. Abstract

Kenken For Teachers Tom Davis tomrdavis@earthlink.net http://www.geometer.org/mathcircles June 7, 00 Abstract Kenken is a puzzle whose solution requires a combination of logic and simple arithmetic skills.

### BBC Learning English Talk about English Business Language To Go Part 1 - Interviews

BBC Learning English Business Language To Go Part 1 - Interviews This programme was first broadcast in 2001. This is not a word for word transcript of the programme This series is all about chunks of language

### Page 18. Using Software To Make More Money With Surveys. Visit us on the web at: www.takesurveysforcash.com

Page 18 Page 1 Using Software To Make More Money With Surveys by Jason White Page 2 Introduction So you re off and running with making money by taking surveys online, good for you! The problem, as you

### Saving Money. Grade One. Overview. Prerequisite Skills. Lesson Objectives. Materials List

Grade One Saving Money Overview Students share the book A Chair for My Mother, by Vera B. Williams, to learn about counting and saving money. They complete worksheets on coin counting and saving. Prerequisite

### Grade 2 Lesson 3: Refusing Bullying. Getting Started

Getting Started Lesson Concepts You can refuse to let bullying happen to you or to others. Being assertive is one way to refuse bullying. Key Words Refuse, assertive Objectives Students will be able to:

### Step 1: Come Together

THE STORY FOR LITTLE ONES: Preschool LESSON GUIDE: Lesson 2 5 ABRAHAM FOLLOWS GOD Bible Basis: Genesis 12:1 9, 17; 21:1 7 Bible Verse: Abram believed the Lord. The Lord accepted Abram because he believed.

### Jacob Marries Rachel

Jacob Marries Rachel Teacher Pep Talk: Jacob, escaping from the wrath of his older brother, Esau, traveled to the home of his mother s relatives. There Jacob, the trickster, who had gotten both Esau s

Marty's Big Mistake A short story about character by Wes Fessler Marty mouse was walking home from school one sunny day. A rock was on the sidewalk, which he kicked along the way. The rock would bounce

### The Easy Picture Guide to banking xxxx. Choosing xxxxxxxxxxxxxxxxxxxxx a xxxxxxxxxxxxxxxxxxxxx. bank account

The Easy Picture Guide to banking xxxx Choosing xxxxxxxxxxxxxxxxxxxxx and opening a xxxxxxxxxxxxxxxxxxxxx bank account The Easy Picture Guide to xxxx a bank account The Easy Picture Guide to Money for

Central England People First s friendly guide to downloading What is Skype? Skype is a computer programme that turns your computer into a telephone. This means that you can speak to other people using

### Computer Programming In QBasic

Computer Programming In QBasic Name: Class ID. Computer# Introduction You've probably used computers to play games, and to write reports for school. It's a lot more fun to create your own games to play

### Would You Like To Earn \$1000 s With The Click Of A Button?

Would You Like To Earn \$1000 s With The Click Of A Button? (Follow these easy step by step instructions and you will) This Version of the ebook is for all countries other than the USA. If you need the

### Utilisation des flash-cards dans l enseignement des langues

Utilisation des flash-cards dans l enseignement des langues Source 1 : http://www.teachingenglish.org/ Joanna Budden, British Council, Spain Flashcards are a simple, versatile, yet often under exploited

### If A is divided by B the result is 2/3. If B is divided by C the result is 4/7. What is the result if A is divided by C?

Problem 3 If A is divided by B the result is 2/3. If B is divided by C the result is 4/7. What is the result if A is divided by C? Suggested Questions to ask students about Problem 3 The key to this question

### BBC Learning English Talk about English Business Language To Go Part 2 - Induction

BBC Learning English Business Language To Go Part 2 - Induction This programme was first broadcast in 2001. This is not a word for word transcript of the programme Forget about struggling with dictionaries

### New Heavens and a New Earth Isaiah 65:17-25

Stories on the Way: Lesson Plans for Small Sunday Schools New Heavens and a New Earth Isaiah 65:17-25 page The Story 1 The Lessons 1. New Heavens and a New Earth 2 2. Worth Waiting For 4 Written by Rhonda

### THE EF ENGLISHLIVE GUIDE TO: Dating in English TOP TIPS. For making the right impression

EF Englishlive: Language & Lifestyle Guides THE EF ENGLISHLIVE GUIDE TO: Dating in English TOP TIPS For making the right impression Index INDEX 03 Introduction 05 Asking someone out on a date 09 Booking

### Icebreakers and Name Games

1 Icebreakers and Name Games Be Healthy Stay Safe Enjoy and Achieve Make a Positive Contribution Achieve Economic Wellbeing 2 Ice breaker Act Out Your Name No equipment needed 10-15 minutes 4+ Get the

### Lesson #13 Congruence, Symmetry and Transformations: Translations, Reflections, and Rotations

Math Buddies -Grade 4 13-1 Lesson #13 Congruence, Symmetry and Transformations: Translations, Reflections, and Rotations Goal: Identify congruent and noncongruent figures Recognize the congruence of plane