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- Drawing with Pythagoras

first discovery and proving of this ancient math theorem came before Pythagoras but since no tangible account of this has yet been documented it is named as such If that was true however we wonder what another name of the theorem would have been and from what country and nation a fun question to ponder The Pythagorean Theorem can be used with any shape and for any formula that squares a number And in fact the area of any shape can be computed from any line segment squared http en wikipedia org wiki Pythagorean theorem reference also for Diagram Above Apparently even the teenage Brainiac Lisa Simpson from The Simpsons television series knows all about Pythagoras On this site there are some cool diagrams showing the differences of Lines Segments Legs Radius and Area http betterexplained com articles surprising uses of the pythagorean theorem And to assist in figuring out these math scenarios this site offers tabs for entering in numbers to calculate the square root of the numbers in question http www math com students calculators source square root html Finally here are a few Real Life Examples Meet Me at The Corner Let s say Stephanie and Maria are meeting at the Hiking Trail Entrance on the corner of Saanich Rd and Cedar Rd One phones the other on her mobile phone and asks How long will it be before you arrive at the entrance Well let s estimate by first finding out how far away we are from each other In present time Stephanie is on Saanich Rd to and is 10 miles away Meanwhile Maria is on Cedar Rd and is 4 miles away How far away from one another are Stephanie and Maria The distance between them a 2 b 2 c 2 or respectively 10 2 10 squared 4 2 4 squared or respectively 100 16 116 miles The square root of 116 is 10 77 Thus Stephanie and Maria are 10 77 almost 11 miles away from one another Hence they figure they will be another hour on their bicycles to meet one another to go hiking Firefighters Needing to Know Height of a Building 3 Firefighters receive a call to help Ann rescue her cat Tia from the Oak Tree outside her window The tree is about 3 stories tall and the Tia after chasing a squirrel is stuck on a branch at about the height of 2 stories of her house The height to the branch may be 20 feet and the firefighters have to put the ladder about 10 feet away from the Oak Tree in order to go around Ann s shed How long of a ladder do the firefighters need in order to rescue Ann s cat a 2 b 2 c 2 or respectively 20 2 10 2 2 2 the length of ladder required 400 100 500 The square root of 500 is approximately 22 37 The firefighters extend their expandable ladder to be approximately 23

Original URL path: http://www.math-lessons.ca/drawing-pythageras.html/ (2014-10-09)

Open archived version from archive - Teaching Fractions Everyday World

take for one teaspoon and so on You can build on the measuring cups and measuring spoons lesson by giving each student a copy of a recipe or two Ask the students to help you rewrite the recipe For instance you could take a recipe that serves four people and tell the kids that you only want to serve half that number or two Then ask how many of each item you ll need if you take half of each Finally you can use travel as a way of teaching fractions This one is more of a homework assignment Ask the children to count how many cars they pass on the way home from the school They write down this number Then ask them to write down how many are blue how many red how many white how many yellow Finally see if they can turn this into a fraction reminding them that the color is the top number and the total number of cars is the bottom number These suggestions are not only fun ways to keep your students interested in fractions but more importantly they are ways to show them that fractions are applicable in real life For some of our fun games on fractions you can visit these pages http www math lessons ca activities FractionsCards html http www math lessons ca activities cards html http www math lessons ca activities chocolate html http www math lessons ca activities FractionsBoard4 html If you enjoyed this article subscribe to receive more great content just like it Subscribe via RSS Feed About the Author Specialty International Education Comments 4 Trackback URL Comments RSS Feed Emily says March 2 2011 at 8 20 pm I think some of these ideas are fantastic I personally love cooking and baking so using

Original URL path: http://www.math-lessons.ca/real-world-activities-for-teaching-fractions.html/ (2014-10-09)

Open archived version from archive - Tips for Teaching Article in Elementary Math

her to overcome it 4 We show that we value the student This actually applies to any age level but with elementary students it s critically important We re teaching these kids at a time when they re developing their self esteem When we show them that they re important by asking them to help us with chores like leading the line to lunch or by cleaning the erasers or by complimenting them in class these things tell the student that they are important and needed in the classroom 5 We involve them in team building activities Team building activities are healthy for all students but is essential for elementary kids Without team building activities the child tends to be very selfish Involving him or her early in working as a team takes the child s focus off him herself as a lone individual and places it with others as a group Games puppet shows and role playing in small groups are examples of ways to teach children to cooperate with others Our latest Math Activity Game is called Hex A Race It is a very fun floor or table game designed for Grades 4 6 and is a very interactive activity with teams focusing on adding and subtracting mostly with multiplication and division using small numbers http math lessons ca activities HexaRace html If you enjoyed this article subscribe to receive more great content just like it Subscribe via RSS Feed About the Author Comments 5 Trackback URL Comments RSS Feed Raigen O Donohue says October 13 2010 at 11 58 am I absolutely agree with everything you said especially about patience Patience truly is a virtue in the teaching field My fifth grade teammates and I have done many team building sctivities over the last two years We

Original URL path: http://www.math-lessons.ca/tips-for-teaching-in-the-elementary-classroom.html/ (2014-10-09)

Open archived version from archive - Math Activities Game for Elementary Times Tables

What is even better is that you get involved as well so everyone is included in this fun game Materials A 4 6 Poster or any size you desire Construction Paper Dark Marker Regular Paper Pen Glue Adhesive Tape Teacher s Instructions 1 Find a poster board with a popular cartoon character or age appropriate movie that will appeal to the students An example would be Sponge Bob Square Pants or Harry Potter Make sure you find a picture that is sturdy enough to cut into pieces as well as easy to cut or you can use the construction paper to support the back of the poster Use the glue as adhesive for the poster and the construction paper 2 You can break up the picture into as many pieces as you would like Cut the desired number of sections to make the number of puzzle pieces 3 Write a variety of different multiplication table problems on a piece of paper This will be for your eyes only 4 On the back of each puzzle piece you can write the answers that correspond to the puzzle piece problems you previously wrote Also be sure to add some type of adhesive to the top of the puzzle piece so it will stay on the board Classroom Instructions This excellent activity involves using the multiplication tables to put together the pieces of a puzzle to form a picture Each multiplication problem that is answered correctly corresponds to a specific puzzle piece and where it should be placed on the board The teacher will be instructing the class and have students come up to the board to solve multiplication problems in order to accomplish the solving of the multiplication problems and the piecing of the puzzle Depending on what grade this is for

Original URL path: http://www.math-lessons.ca/puzzle-pieces-for-multiplication-tables.html/ (2014-10-09)

Open archived version from archive - Playing Cards Game for Teaching Multiplication

of 3 There are 2 players that compete against each other The third player in each group is the person who controls the dealing of the cards The dealer takes two cards from the deck and places them face down Then once both players are ready the dealer flips over the cards The students try to multiply the two cards that are exposed Whoever answers correctly keeps the cards The cards then have a point system If the student answers incorrectly then the other student has a chance to guess the correct answer If the student answers correctly then he she obtains the cards If the student does not know the answer or does not answer correctly then no one obtains the cards points Therefore whoever has the most cards at the end of the game is the person that wins Teachers can also continue playing this game by taking each winner from each group and have the best of the best compete against each other to find out who knows how to multiply the best The winner of the entire class can then be assigned to some special task or treat Tips To make the game more student centered you can buy children s playing cards that could be a favorite character of the students or a theme of a popular kids movie To make this game even harder or for students who are older you can add one more card to the original 2 card format Therefore instead of students having to multiply 2 cards they would have to multiply 3 cards This would make this a lot more challenging and really test the multiplication skills Teachers can also have the students make up a sentence that incorporates the answer of the two cards This exercise will encourage

Original URL path: http://www.math-lessons.ca/learning-multiplication-with-playing-cards.html/ (2014-10-09)

Open archived version from archive - The Math Master Wins! Multiplication Teaching Activity

incorporate a technique through a fun and stimulating school activity The way that this game begins is each student being given different times table problems Each problem has a point amount For each correctly solved problem that the student has correct he is assigned the amount of points associated with that problem For example 1 1 1 the student would be given 1 point 2 2 4 and so on If the problem is answered incorrectly no points are gained As a matter of fact the student loses the amount of points that correspond to the problem they answered incorrectly This technique makes the children even more interested in learning multiplication tables as well as answering the problems correctly It will also motivate them to correctly answer the equations especially those with the higher numbers so they can accumulate more points At the end of the assignment each student s score is added up and the person with the most correct problems as well as the most points is designated as the winner If there is more then one winner then you can do a sudden death match and have each player compete against each other until there is a winner Or you can reward both of them with the title of Multiplication Masters and they can be the designated team leaders when you play this game another time You can also add even more fun to this game by breaking the class up into teams and assigning 5 players to each team This allows the students a chance to interact with each other and learn the value of teamwork Plus for those students who are struggling they will be able to work with other students that can help them out By incorporating this fun game into your teaching plan

Original URL path: http://www.math-lessons.ca/multiplication-masters.html/ (2014-10-09)

Open archived version from archive - Secret Chocolate Fraction Codes

number of squares in a bar If it is different then ask the learner to count respectively re their bar and write down on paper the basic 12 fractions of their bar 1 12 2 12 3 12 4 12 5 12 6 12 7 12 8 12 9 12 10 12 11 12 12 12 Step 2 Then secretly and individually each student colors a different amount of squares in each bar using 3 different colored markers Encourage Sharing Trading markers if there is not enough markers to go around Step 3 Then everyone divides into pairs and one at a time without showing each other what they have colored each student guesses what 3 numbered fractions the other one has colored Eg Susan colored 3 squares in Red 2 squares in Yellow and 7 squares in Purple Therefore Susan s Secret Fraction Codes are 3 12 2 12 and 7 12 Bob colored 3 squares in Blue 6 squares in Green and 3 Squares in Orange Therefore Bob s Secret Fraction Codes are 3 12 6 12 and 3 12 Step 4 After successfully guessing the other s Secret Fractions each one guesses the 3 respective Colors of each Fraction Code Step 5 Once they have successfully guessed the other one s Secret Fraction Codes have them TOGETHER then add all 3 to make the Whole Number One 1 Eg Susan s Secret Fraction Codes look like this 3 12 2 12 7 12 12 12 1 Bob s Secret Fraction Codes look like this 3 12 6 12 3 12 12 12 1 Last Step Everyone share their Chocolate Bars with The Teacher lolololololol Enjoy Yum Love The Earth Remember to Recycle both the paper and the tinfoil or plastic that the bar was wrapped in The

Original URL path: http://www.math-lessons.ca/secret-chocolate-fraction-codes.html/ (2014-10-09)

Open archived version from archive - Gratitude for Teachers: Goals of Teaching Elementary Math

in their daily classroom lives so we want to say Thank You Making the task of teaching elementary math a little easier on the shoulders of the teachers here is a checklist of goals for the year to check off through the year and give yourself a pat on the back for all of your teaching efforts and successes Given all that teachers do in the run of a teaching day month term and year saying thank you is the least any of us can do At the year s end you can ask yourself if your Learners are Able to Feel good about themselves whether they have the answers correctly or incorrectly divide by multiples of 10 100 and 1000 Understand and make basic home economic money wise decisions such as buying groceries Grasp fractions whole numbers proportions and percentiles Make a graph understand a graph Use deductive reasoning such as assessing shapes and figures in geometry and how they relate to each other Add subtract and multiply fractions Adding subtracting and multiplying fractions all connect with a broader goal of understanding parts or part and whole of all life ideas and circumstances The mind develops conceptual ratios proportions and percentiles as we walk through a market or a neighborhood These become the building blocks of learning algebra and calculus in the later years conceptual models developing in the mind of building a bridge for example Books and curriculum are tools to achieve these goals for teaching and learning in the elementary classroom but the process of achieving or attempting to achieve the goals is the real success for both the learners and the Teachers For some fun using games to teach and learn math here are a few ideas http www math lessons ca activities index html If

Original URL path: http://www.math-lessons.ca/gratitude-for-teachers-goals-of-teaching-elementary-math.html/ (2014-10-09)

Open archived version from archive