Do they agree with what is stated here? The Triangle Inequality : Three lengths form a triangle if and only if the sum of the lengths of any two of the three is greater than the third length. Equivalently as a single test, three lengths determine a triangle if and only if the sum of the two shortest lengths is longer than the longest of the sides.
When the sum of the squares on two sides of a triangle is greater than the square on the third side, the same holds good for other pairs of sides as well, and the triangle is acute. When the sum of the squares on two sides of a triangle is equal to the square on the third side, then the triangle is right angled. When the sum of the squares on two sides of a triangle is less than the square on the third side, then the triangle is obtuse angled.
Take off Continue the exploration when the triangles are isosceles or equilateral. Without doing practical work, can you identify the kind of triangle from the side lengths given? Vey-un has another way to work out the number of matches for a triangle pattern.
He writes 10 x 3 — 9 and gets the same number of matches as Kiri and Jamie, What do the numbers in his calculation refer to? He imagines that the ten triangles join and that creates nine overlaps. He subtracts nine from 30 to allow for the overlapping matches. Here we look at a simple pattern created by putting matches together to form a connected path of squares.
The ideas of the first three sessions are extended and reinforced in another context. This time the problem gives a rule and the students find the pattern. This week in maths we have been looking at patterns made with matches. We looked at the first term, the second term, … the tenth term, … and so on and tried to find a relation between the number of matches and the number of the term.
For example, we explored this pattern with matches:. Ask your students to explain how they could predict the numbers of matches in a ten-house path. What else can they share with you about the pattern? Enjoy your exploration of this algebra problem! Log in or register to create plans from your planning space that include this resource. Use the resource finder. Home Resource Finder.
NA Connect members of sequential patterns with their ordinal position and use tables, graphs, and diagrams to find relationships between successive elements of number and spatial patterns.
AO elaboration and other teaching resources. Specific Learning Outcomes. Predict the next term of a spatial pattern.
Find a rule to give the number of matches in a given term of the pattern. Find the member of the pattern that has a given number of matches. Description of Mathematics. Important representations include: Tables of values Word rules for the nth term Equations that symbolise word rules Graphs on a number plane Further detail about the development of representations for growth patterns can be found on pages of Book 9: Teaching Number through Measurement, Geometry, Algebra and Statistics.
Links to Numeracy This unit provides an opportunity to focus on the strategies students use to solve number problems. What do the numbers and operations tell you about the pattern? Note order of operations Are the expressions the same in some way? Which expressions are the most efficient ways to calculate the number of matches? Opportunities for Adaptation and Differentiation. Ways to support students include: providing matchsticks so students can build the growth patterns using colour to highlight repeating elements in diagrams of the growth patterns easing the calculation demands by providing calculators modelling how to create tables and other ways for students to record their working and ease demands on their working memory.
Required Resource Materials. Matches with the heads burnt, or toothpicks, iceblock sticks, nursery sticks, trimmed bamboo skewers, etc. Dot paper as an alternative to using matches PowerPoint One. Session 1 : Triangle Paths In this session we look at a simple pattern created by putting matches together to form a connected path of triangles. Introduce the session by telling the students that Kiri made the following matchstick paths using 1, 2, and 3 triangles — she called them a 1-triangle path, a 2-triangle path, and a 3-triangle path.
How many extra matches would be needed to make a 6-triangle path? A 7-triangle path? How many matches would Kiri need to make a triangle path? Please wait. Copy to clipboard. Presentation on theme: "Straw squares There are 12 straws in this pattern of 5 squares. Download ppt "Straw squares There are 12 straws in this pattern of 5 squares. Take five coins: 1p, 2p, 5p, 10p, 20p.
About project SlidePlayer Terms of Service. Feedback Privacy Policy Feedback. All rights reserved. To make this website work, we log user data and share it with processors. Answer - There are 5 animals going towards the river. How many triangles can you see in the image? Answer - There are 24 triangles in total. Can you find all of the eggs our driver has hidden?
Answer - There are 12 eggs hidden, we've circled where they can be found in the image. Why was the Easter bunny so upset? Answer - He was having a bad hare day! Why shouldn't you tell an Easter egg a joke?
Answer - Because it might crack up! Why kind of music do Easter bunnies like? Answer - Hip-Hop! How many total squares can you find in the image? The image is made up of eight tiny squares, eighteen single squares, nine 2 x 2 squares, four 3 x 3 squares, and one 4 x 4 square.
A driver needs to pass under a bridge, but his truck is one inch too tall. However despite this issue, the driver finds a way to continue further.
Answer - He's walking! Can you unscramble the letters to find our 10 letter word? Answer - Springtime. How high would you have to count before you would use the letter A in the English language spelling of a whole number?
Answer - One thousand. I am as light as a feather but no one can hold me for long. Answer - Your breath. What letter of the alphabet contains the most water? Answer - The letter C. You see me in water, but I never get wet. Answer - Your reflection. You see a boat filled with people. When you look again, the boat has not sunk, but there is not a single person onboard. Answer - Everyone onboard was married. There was a green house. Inside the green house there was a white house. Inside the white house there was a red house.
Inside the red house there were lots of babies. Answer - Watermelon. During which month do people sleep the least? Answer - February because it has the least nights, even in leap years!
Christmas Tree Spot the Difference Answers. I speak without a mouth, and hear without ears. I have no body, but come alive with wind. Answer - An echo!
What comes once in a minute, twice in a moment, but never in a thousand years? Answer - The letter "m"! Susan was born on December 28th, yet her birthday always falls in the summer. Answer - Susan lives in the Southern Hemisphere! Look at my face, I am somebody. Look at my back, I am nobody. Answer - A mirror! How can you enter a room with two legs, but leave with six legs? Answer - Take a chair with you on the way out! When does Halloween come before Valentine's Day?
Answer - In a dictionary! What has a head, a tail, is brown and has no legs? Answer - A penny, or 2 pence piece. A clerk at a butcher shop stands five feet ten inches tall and wears size 13 sneakers. What does he weigh? Answer - The clerk weighs meat! What animal has no wings, but yet will fly? Answer - Caterpillar. We'd also accept flying fox, flying squirrel and flying fish. A dog has three puppies named Mopsy, Topsy and Spot.
What was the Mother's name? Answer - What. I go up and down the stairs without moving. Answer - Carpet. We'll also accept bannisters or handrails. The pattern contains no vowels. How can you make seven even? Answer - Remove the S. When can you add two to eleven and get one as the correct answer?
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