# Number

## Structure and Calculation

Fractions Decimals and Percentages. Measures and Accuracy. Choose Three Numbers. Page Numbers. Lines of primes. Prime numbers have fascinated mathematicians for centuries.

A prime number has exactly 2 factors - one and itself. The only even prime is 2, the rest are all odd. The primes less than 100 are as follows: There doesn't appear to be a pattern in the distribution of primes. How about the "gap" (spacing) between the primes? There doesn't appear to be a pattern in the gaps, either. Spiraling Stanislaw Ulam was a Polish-American mathematician who was involved in the Manhattan Project during World War II. One day he was bored in a meeting and began to write numbers in a spiral.

The next round continued the "spiraling" pattern, as follows. He kept going (it must have been a long meeting), then highlighted the prime numbers and found something interesting. Many of the primes appear to line up when arranged in such a sprial. Let's go much bigger and see what happens. This spiral appeared on the cover of Scientific American in March 1964 and continues to generate research interest to this day. Continuous Everywhere but Differentiable Nowhere. Matt Enlow (math teacher in MA) posted a fascinating problem online today, one he thinks of when storing all those plastic bags from the grocery store.

You shove them so they all lie in a single bag, and throw that bag under the sink. Here’s the question: how many different ways can you store these bags? For 1 bag, there is only 1 way. For 2 bags, there is still only 1 way. For 3 bags, there are 2 ways. Negative and fractional indices treasure hunt - Algebra - Indices – index laws - Dominoes, loop cards and treasure hunts - Search results - Search. Published: 30/08/2013KS4 KS5 3 pages Negative and fractional indices treasure hunt This resource combines a treasure hunt with a code breaking activity to test students' index and substitution skills!

Simplify each expression to create a loop of 15 cards, then substitute in values for x and y to decipher the hidden message. Fractional & negative indices. Roots and Indices Maze. Indices - National STEM Centre. MathArguments180.com: 439: Fraction / Decimal Tic-Tac-Toe. Fractions Decimals Percentages. Topics: Starter | Decimals | Fractions | Mental Methods | Percentages How did you use this starter?

Can you suggest how teachers could present or develop this resource? Do you have any comments? It is always useful to receive feedback and helps make this free resource even more useful for Maths teachers anywhere in the world.Click here to enter your comments. If you don't have the time to provide feedback we'd really appreciate it if you could give this page a score! Excellent, I would like to see more like this Good, achieved the results I required Satisfactory Didn't really capture the interest of the students Not for me! This starter has scored a mean of 4.0 out of 5 based on 15 votes. Fascinating Fractions. MathArguments180.com: 454: Fraction Sum. MathArguments180.com: 449: Fractions.

Fraction Division. The Scale of the Universe 2. MathArguments180.com: 474: Fractional Understanding. Recurring Decimals. Recurring Decimals. Dropbox - Prime factors grid.xls. The beauty of the very very big and the very very small – Standard form. Primes and factors.png (575×288) Power is an illusion. Powers, roots and index laws - Resources - TES. Power List. Remainders. Lesson Collection: Negative Numbers - TES Resource of the Week 82 - Mr Barton Maths Blog. For the next few weeks, the ROTW will be looking at examples of complete lessons on TES.

I find resources like this fascinating, as they give you a real insight into a teacher’s thinking, far more than you would get from a PowerPoint or a worksheet alone. The advice I give to all trainee teachers and NQTs that I work with is to take lessons like this, study them, and then adapt them to suit their own teaching style and the needs of their students. As ever, I am eternally indebted to teachers for sharing their resources on TES, but a special thank you to those who upload complete lessons like this. They are so useful n sharing good practice, and have a huge and positive impact on teaching and learning around the world. What is it? What are the key features? Sumfrac. Bojagi. Negative Numbers. Solve My Maths Search you're reading...

Negatives, Number, Resources. 7 Days of Maths: MathsSandpit.co.uk #2. Solve My Maths. The Surdinator. MEDIAN Don Steward secondary maths teaching: equations with tables practice. 10 Calculator Buttons you need in your life #revision #gcse #alevel. Before we start, let me get one thing out of the way – you will only get so far without showing your working.

Nevertheless, even a seasoned Maths student needs some calculator skills from time to time. Enjoy. 1. Time conversion between decimal and hours/mins/secs can be tricky. Maths ROTW 74 - Investigating Special Numbers - Mathematics teaching - TES Mathematics - TES Community. What is it?

I absolutely love numbers. I can still remember being at school and learning about perfect numbers, and Fibonacci numbers. New secondary mathematics curriculum: Ratio - Mathematics teaching - TES Mathematics - TES Community. Pupils should be taught to: use ratio notation, including reduction to simplest form Introduction to ratio.

MEDIAN Don Steward secondary maths teaching: powers of 10. MEDIAN Don Steward secondary maths teaching: highest common factor. Someone showed me this method and it seems a helpful way to try to teach finding the highest common factor of two numbers having obtained the prime factor breakdown (I prefer the tree way): 1050 = 2 x 3 x 5 x 5 x 7 1540 = 2 x 2 x 5 x 7 x 11, maybe line up the common factors and put loops around the common factors (as above) to show more clearly those numbers that are in both sets.

MEDIAN Don Steward secondary maths teaching: inserting brackets. Resourceaholic: Thoughts on Teaching Fractions. Yuvraj (@YuviLite) asked me to write a post about teaching fraction addition. I like a challenge! Fractions are notoriously difficult to teach, riddled with misconceptions and crucial to get right. If I were to be thorough on this topic, I’d need to do a hell of a lot of research and write a dissertation length blog post. I certainly haven't been that rigorous, but I have found a few ideas. First read what Yuvraj has written about difficulties in teaching fractions, then have a look at my ideas at the end. When I hear students utter the phrase, ‘uh no not fractions’ a small voice buried deep in my subconscious feels the same thing.

The Grid Method. Fraction Strips. Calculator Skills (TLP) Bar modelling- a powerful visual approach for introducing number topics. Building on my recent post about a taxonomy for deep learning in maths, I have been trying to think a bit deeper myself about what each type of ‘deep learning link’ might look like. In particular, I have been researching and putting a lot of thought into what effective ‘visual models’ look like for the ‘key nodes’ I have previously identified as the most important foundation maths knowledge for students to master before starting their GCSE maths course.

These are principally number topics. Last year I became aware of the Singapore Maths Bar Modelling approached have recently found the time to research it further. I bought some Singapore textbooks and read about the work of Dr Yeap Ban Har. Rounding and Significant Figures (TLP) Solve My Maths Search you're reading... Number, Resources, Rounding / Sig. Fig. 262. Percentage Building Blocks. A Very Strange Game. Topics: Starter | Games | Number How did you use this starter?

Can you suggest how teachers could present or develop this resource? Do you have any comments? It is always useful to receive feedback and helps make this free resource even more useful for Maths teachers anywhere in the world.Click here to enter your comments. If you don't have the time to provide feedback we'd really appreciate it if you could give this page a score!

Excellent, I would like to see more like this Good, achieved the results I required Satisfactory Didn't really capture the interest of the students Not for me! MEDIAN Don Steward secondary maths teaching: pythagoras and surd forms. Students find the missing length in simplified surd form and find patterns to extend and maybe prove. Which one doesn't Belong. Multiple Proofs. Intended to lend some purpose to expanding and factorising... maybe more interesting for students to create their own versions after a while. Grid multiplication - must, should and... Edition : UK US AU Sign in Register Mobile. Smallest Multiple. Decimal Multiplication Targets. Question 20(c) is from the 'Mathematical Education on Merseyside Challenges' (Peter Giblin and Ian Porteous) N11 Manipulating surds. Solve My Maths. Solve My Maths. Surds. Resourceaholic: 5 Maths Gems #31. Hello and welcome to my 31st gems post. This is where I share some of the best teaching ideas I've seen on Twitter. 1.

A Multiplication Based Logic Puzzle. MathArguments180.com: 408: Balls. Fraction Bars by TeacherLED. MathArguments180.com: 409: Pizza. Upper and Lower Bounds (TLP) Coin Counting - 101qs. Column Addition. TeacherLED.com Addition Arranger. Bouncing.