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### Number Talks for Number Sense - The Learner's Way- 7 views

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"Number Talks" is an approach to the teaching and learning of Number Sense. Rather than relying on the rote-memorisation of isolated number facts achieved through drills of "table-facts", Number Talks aim to build confident, number fluency, where learners recognise patterns within and between numbers and understand the properties of numbers and operations. Number Talks are a "mind on" learning task that engages students in an active learning process as they search for patterns, decompose and recompose numbers and develop a flexible understanding.

### Math Forum: Ask Dr. Math FAQ: Integers, Rational Numbers, Irrational Numbers- 49 views

• A rational number is any number that can be written as a ratio of two integers (hence the name!). In other words, a number is rational if we can write it as a fraction where the numerator and denominator are both integers. The term "rational" comes from the word "ratio," because the rational numbers are the ones that can be written in the ratio form p/q where p and q are integers. Irrational, then, just means all the numbers that aren't rational. Every integer is a rational number, since each integer n can be written in the form n/1. For example 5 = 5/1 and thus 5 is a rational number. However, numbers like 1/2, 45454737/2424242, and -3/7 are also rational, since they are fractions whose numerator and denominator are integers. So the set of all rational numbers will contain the numbers 4/5, -8, 1.75 (which is 7/4), -97/3, and so on. Is .999 repeating a rational number? Well, a number is rational if it can be written as A/B (A over B): .3 = 3/10 and .55555..... = 5/9, so these are both rational numbers. Now look at .99999999..... which is equal to 9/9 = 1. We have just written down 1 and .9999999 in the form A/B where A and B are both 9, so 1 and .9999999 are both rational numbers. In fact all repeating decimals like .575757575757... , all integers like 46, and all finite decimals like .472 are rational.

### Insights into the true power of Number Talks - The Learner's Way- 5 views

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Number Talks are a wonderful way to see where our students are with their mathematical thinking. As a part of a daily routine, a Number Talk promotes number sense and mathematical reasoning. In this post, I revisit what a Number Talk can reveal about our students' understanding of mathematics, and how they might be used to promote a fresh perspective. In addition, I examine a success criteria for Number Talks that is more expansive and recognises their true power.

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### Magic Squares- 23 views

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"This is a maths resource that can be used to challenge pupils to complete a magic square, using only the numbers provided, to make sure that each row, column and diagonal all add up to the focused magic number. The resource provided challenges students to add up to 9, 12, 15 & 18, and could be used as a homework challenge, an additional classroom activity, or as a main activity within a maths lesson. Challenge pupils to work on two different methods for each magic number. This activity could be adapted with larger number, and other mathematic operations"

### ClassJump.com - free websites for teachers- 0 views

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Post homework, Upload Documents to share with the class Post upcoming events to your calendar, Post articles of interest and links to resources, Receive documents uploaded by students Start a class message board, just for you and your students Create unlimited numbers of photo albums
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### Race around the clock times tables - Resources - TES- 1 views

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A worksheet that can be used to test times tables. The children write whatever times table they are doing (4x, 8x etc) in the star in the middle of the sheet and times the number on the outside of the track by that number. They then write the answers of the times table in the boxes in the inside of the track. Lower ability children can be asked to +2, +4 etc to the number on the outside of the track instead of completing times tables. Give children 2 or 3 minutes to complete the race. Photocopy back to back and ask higher ability children to complete both sides. I made this worksheet during a teaching practice with Year 3 - it works well.

### Truly random numbers- 41 views

• At a quantum scale, the motion of electrons and protons is completely and genuinely random, since it doesn’t follow a clear path of cause and effect. You basically have no idea what’s going to happen. If you can measure this somehow, than you’ve got yourself an absolutely random value.
• “If you want to defeat an adversary who is trying to hack into your system, basically you need large quantities of random numbers,” &nbsp;Sussman said.
• “…a truly random number generator will provide impenetrable encryption for communications — be they military transmissions, secure banking, or online purchasing — that underpin the modern connected world.”
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• The researchers used&nbsp;pulses of laser light, which only last a trillionth of a second, that were directed through a diamond. The light comes and goes through the diamond, however when it exists it’s changed, since it has to pass through quantum vacuum fluctuations, the microscopic flickering of the amount of energy in a point in space. Scientists can measure these pulses of light that emerge from the experimental set-up, measurements which are the truly random.
• random numbers
• with quantum physics

### Numberphile's Channel - YouTube- 14 views

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A channel dedicated to sharing wonderful, amazing, and sometimes surprising, characteristics of numbers. Perfect for using as a possible hook in math lessons, or as an FYI for the number-curious amongst us.

### World Population | An Interactive Experience- 78 views

Ann Rooney liked it
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Our population is expected to grow to over 9 billion by 2050, yet the ability of our environment to provide space, food, and energy are limited. Explore population growth from 1 CE to 2050, see how our numbers impact the environment, and learn about the key advances and events allowing our numbers to grow.
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Our population is expected to grow to over 9 billion by 2050, yet the ability of our environment to provide space, food, and energy are limited. Explore population growth from 1 CE to 2050, see how our numbers impact the environment, and learn about the key advances and events allowing our numbers to grow.
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Malthusian theory has been proven wrong time and time again.

### NUMBER SYSTEMS by Petra Marjai on Prezi- 3 views

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A nice little Prezi. The subject of number systems is smartly presented.

### fractions idea bank- 141 views

• Fractions are as easy as pigs
• One way to help students to understand the basics of adding and subtracting fractions (denominators must be the same; add/subtract the numerators; DO NOT add/subtract the denominators) is to teach the students what the parts of a fraction really are: numbers and names. This also helps combat the frequently-taught but incorrect idea that a fraction and a ratio are the same. A ratio may look like a fraction, but it is not a fraction.
• FRACTIONS ARE AS EASY AS PIGS What is 2 pigs plus 3 pigs? 5 pigs (Write as a fraction: 2/pigs + 3/pigs = 5/pigs) Notice, we do not end up saying the answer is 5 horses.
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• The top of a fraction is a NUMBER: 1, 2, 3, etc. The bottom of a fraction is a NAME: half, third, fourth, etc. We can add and subtract numbers. We cannot add and subtract names.
• Fraction Blackjack
• Ask each student their "denominator." Don't give it away. Ask each one until one finally says their name. Continue through the room... Their name is their denominator. When you practice adding and subtracting fractions with like denominators, actually say "pigs" instead the fraction name. Then say, "Instead of pigs, we are using ..." and let them answer with the appropriate denominator. It is fun when doing subtraction to say, "If we have 5 pigs and eat 3 pigs, besides a stomachache, what is left?"
• The transition to unlike denominators is automatic. If the names are not the same, you can't add the fractions. 2/pigs + 3 horses is still 2/pigs and 3/horses (unless we discover a "common denominator" -- a common name: farm animals). Once the students know they must have a common name (denominator) in order to add or subtract, they have a reason to learn about common denominators. By the way, I always begin common denominators without worrying about the Least Common Denominator (LCD). Once they can find a common denominator (multiply the denominators), add or subtract, and then reduce, they can be led to finding "easier" denominators to work with. Students who have too much difficulty with LCD can still get the correct answer; they just have more reducing to do. Those who can find a lower common denominator have less reducing. This is a very basic rendering of "Fractions are as easy as pigs." AWP, 10/12/00 on teachers.net math board
• Denominate means: to name Political parties nominate (name) their candidates. Religious denominations are identified by their names. The denominations of money are the names of the coins and bills.
• One game that my students enjoy the challenge of is Blackjack 1. You need a set of fraction cards per student (or you can make them from index cards.) The same rules as Blackjack apply. Instead of trying to get to 21, they want to try and get close to 1 without going over. With this game they practice addition and comparing -- it's great. You can also make it more challenging or bring in mixed numbers with Blackjack 2 or Blackjack 3. (Blackjack 2 means to try to get as close to 2 as possible without going over.) I am not sure where to buy fraction cards. I have one set that I received when I took over a classroom. However, I have always had the students create their own sets and we used them for several games. I gave each students a set of index cards (3 1/2 X 5) and they wrote the fractions in pencil so they couldn't be seen through the cards. These are the fractions we included: all fractions with a denominator of 2, 3, 4, 5, 6, 8, 10, and 12. (To challenge the students you may want to use the 7, 9, and 11 denominators as well.) I also had the students include 2 0's such as 0/3 and 0/4 and two 1's such as 3/3 and 4/4. Each game required two sets of cards, so I had the students write their initials in the corner of their set so they would get a complete set back after the game.
• games
• I remembered some
• other
• Fraction War Fraction War with the fraction cards: It is just like the card game of War, but with the fraction cards instead. This game helps students to compare fractions and encourages them to use number sense in comparison before using the algorithm of making equivalent fractions. Memory Memory with the fraction cards: It is just like the traditional "Memory" game, but any equivalent fractions are considered a match so 1/2 would be a match with 2/4. This game helps them to identify equivalent fractions. You can also play this game with fraction to decimal equivalence by making a set of decimal cards too. Fraction/Decimal Bingo Fraction/Decimal Bingo: The students have game boards with decimals on them. You call out fractions and if they have the decimal equivalence they can mark it on the board. Kimberly, 5/31 and 6/1 on teachers.net math board

### Numberlines- 113 views

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A beautifully designed and wonderfully useful number line resource for whiteboards. Choose the increments and starting point of the sequence and cover up numbers for the class to guess. http://ictmagic.wikispaces.com/Maths

### One, two, buckle my shoe: Importance of language to learning math- 38 views

• use numbers when you talk
• better head start in math than teaching her to memorize 1-2-3 counting routines
• "Our study provides the strongest evidence to date that the language a child speaks affects the rate at which they learn number words, and also that hearing number words in naturalistic speech -- not just in counting routines and procedures -- is a critical part of number word learning," Barner said.
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• put numbers into natural speech and say to your 12- to 24-month-old "There are two buttons," when pointing to a pair.
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