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Listed under:  Mathematics  >  Algebra  >  Number patterns
Moving Image

Phi challenge

The golden ratio, Phi: fact or fallacy? What about the Fibonacci sequence? We are told this ratio and its cousin Fibonacci occur everywhere in nature. Let's see which of these claims stacks up when put to the test.

Interactive resource

Visual, geometrical and numerical patterns

This interactive animated presentation includes different scenarios in which visual, geometrical and numerical patterns are identified, explained and described. Students are engaged in extending patterns; and creating and using rules to describe and extend the patterns.

Interactive resource

Musical number patterns: musical counter

Make some music by building up rhythms from four instruments. Follow a counting rule that gives a starting point on a number line and the number of beats to skip. Add a whole number several times on the number line to make a pattern. For example, set up a sound pattern where a drum waits on the first note, and then plays ...

Tablet friendly (Interactive resource)

Circus towers: square stacks

Work out how many acrobats are needed to form square-shaped human towers. Start by building a square tower with four acrobats: two acrobats in the base layer and two acrobats standing on their shoulders. Examine a table and graph of the total number of acrobats in the towers. Predict the number of acrobats needed to build ...

Interactive resource

Swamp survival: hundredths patterns

Help the boy cross the dangerous swamp by making a path of stepping stones. Place the decimals in an ascending order, skip-counting by tenths or hundredths to form the path. Compare the decimal fraction on each stepping stone to the others to see if it is larger or smaller. Look for a skip-counting pattern. Put the decimals ...

Interactive resource

Swamp survival: thousandths counting

Help the boy cross the dangerous swamp by making a path of stepping stones. Place the decimals in an ascending order, counting by thousandths to form the path. Compare the decimal fraction on each stepping-stone to the others to see if it is larger or smaller. Look for a counting pattern. Put the decimals in order from ...

Interactive resource

Swamp survival: thousandths patterns

Help the boy cross the dangerous swamp by making a path of stepping stones. Place the decimals in an ascending order, skip-counting by hundredths and thousandths to form the path. Compare the decimal fraction on each stepping stone to the others to see if it is larger or smaller. Look for a skip-counting pattern. Put the ...

Assessment resource

Number trains: patterns: assessment

Test your understanding of numbers and order them to create patterns. Arrange train carriages according to numbers on their sides to form patterns. For example, count in fives to arrange four carriages into the sequence 12, 17, 22, 27. Identify the numbers that come before and after starting numbers. Work with numbers in ...

Collection

Exploring addition and subtraction

This collection contains 12 digital curriculum resources from the 'Counting beetles' and 'Number trains' series. The collection includes two categories of counting strategies: counting on and back, to give students practice in counting on or back from any number up to 120; and counting using number representations. A third ...

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A second hand - mathematics activities

The photograph depicts a humorous approach to advertising a 'second-hand' store. It suggests a range of comparisons from the various patterns detectable here. The photograph has the potential to be considered as a 'self-replicating' process that provides a lead-in to so-called 'L systems', and to the concepts of fractals ...

Teacher resource

Starting Smart: what's next in the pattern? - early years

This curriculum resource package contains a ten-week early years teaching plan and set of resources developed to extend early years students' knowledge and understanding of patterning. The package includes seven detailed lesson plans to establish students' current knowledge and learning needs. Beginning with establishing ...

Interactive Resource

Whole numbers level 4: numbers to 1000

This set of online activities focuses on the development and consolidation of number concepts to 1000 and beyond. This is the fourth of seven levels in a series focusing on whole numbers to six digits. This is the fourth level and develops some ideas about money and shopping. Each level includes interactive drills and practice ...

Interactive Resource

Whole numbers level 5: four-digit numbers

This set of online activities focuses on the development and consolidation of number concepts to four digits and beyond. This is the fifth of seven levels in a series focusing on whole numbers to six digits. This level develops ideas about place value, rounding and number notation. Each level includes interactive drills ...

Text

BBC Bitesize: linear sequences - revision

These illustrated information sheets revise the definition of a sequence and the nth term. The method of finding the rule for the nth term is extended to more complicated sequences. Highest common factors and lowest common multiples of pairs of numbers are found. This resource is one of a series of online resources from ...

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Patterns around us

Dodly and Flynn find out what a pattern is, and look at different patterns around them. They work out what comes next by continuing the patterns. They make and continue patterns with fruit, shells, steps and singing.

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Counting backwards by ones

Watch a magician and his trusty helpers do a magic trick. Join the audience as they count down from ten to see what happens with the magic hanky and magic umbrella.

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Help the referee count to ten

Watch this skit about a boxing match. Help the referee count to ten as he tries to remember what number comes next in the count. Can you count to ten starting from one?

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Are plants mathematicians?

Ever noticed that plants are examples of Fibonacci numbers? Watch Vi Hart draw examples of flower petals and leaf growth that follow this pattern. See how plants seem to use Phi (.), the golden ratio. Find out how to make your own 'angle-a-tron' to create interesting petal designs. This is the second in a series of two.

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Patterns, primes and Pascal's Triangle

Are you intrigued by patterns? Check out Vi Hart as she explains how to visualise patterns in prime numbers, using Ulam's Spiral. Watch as Vi creates patterns, using Pascal's Triangle to explore relationships in number. See what happens when she circles the odd numbers. What rule does she use to create the final pattern?

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Spiral away with Fibonacci

Do you know the Fibonacci sequence? Learn how to draw a cool spiral as Vi Hart shows you an easy way. See how a spiral is an example of Fibonacci numbers. Vi shows examples of spirals from nature. You might be surprised at some of her examples! This is the first in a series.