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This is a set of information sheets dealing with ideas associated with pronumerals, algebraic expressions and formulas. Practice questions are provided and students have access to a short multiple-choice test to assess their learning. This resource is one of a series of online resources from the BBC's Bitesize collection.
Can you write a rule to match a number pattern? See how to use a table to record a number pattern, identify the rule and write an algebraic equation to match.
See how to write a number pattern as a rule. How would you write the number pattern of counting by two as a rule? Watch this short clip to find out how, along with some algebra basics.
Do you know the conventions of writing algebraic expressions? See how to write an equation for an expression that has an input (x) and an output (y). In the examples that follow, test yourself as you go.
Work out how many acrobats are needed to form triangle-shaped human towers. Start by building a triangle with three acrobats: two acrobats in the base layer and one acrobat 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 ...
Work out how many acrobats are needed to form pyramid-shaped human towers. Start by building a square pyramid with five acrobats: four acrobats in the base layer and one acrobat 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 ...
This is a 25-page guide for teachers. This module introduces pronumerals and their uses. Algebraic notation is discussed. It includes substitution, adding like terms, the use of brackets, multiplying terms and using algebra to describe number patterns.
This is a 19-page guide for teachers. It extends the use of pronumerals to include negative numbers. Algebraic notation is discussed. It includes substitution, adding like terms, the use of brackets, multiplying terms and using algebra to describe number patterns.
This is a 21-page guide for teachers. It introduces pronumerals and their uses. Algebraic notation is discussed. It includes substitution, adding like terms, expanding two or more sets of brackets, the difference of squares, and algebraic fractions.
This is a 24-page guide for teachers. This module extends the use of pronumerals to include algebraic fractions. It includes substitution, adding like terms, the use of brackets and multiplying terms, the use of algebra to describe number patterns and extending the use of the index laws. Algebraic notation is discussed.
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 ...
This is a five-page HTML resource about solving problems concerning matching formula in a given context. It contains five questions, two of which are interactive, and one video. The resource discusses and explains determining a formula to reinforce students' understanding.
An animated tutorial with a focus on collecting 'like' terms to simplify expressions. An interactive quiz is included.
An animated tutorial about terms and 'like' terms, followed by an interactive quiz.
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?
Have you seen mathematical expressions that use numbers and letters? They're called algebraic expressions. See what all this means. Watch how you can substitute a value for 'x' in an algebraic expression. It's easy when you know how!
Need a challenge to write an algebraic formula? This example involves trays of cherry slice! See if you can work out the relationship between the number of slices and the number of trays. Find out what the equation looks like after two pieces of slice from one tray have been eaten.
Can you write an algebraic equation to relate two variables? See how to write an equation that shows how the number of cakes relates to the cake ingredients of eggs, butter, cocoa, flour, sugar and milk.
Try these two exercises, which require you to substitute values of x into an algebraic equation. Complete the table of values for y for both equations.
Do you know how to write an algebraic equation? In this example we use trays of coconut slice. Find out what the equation looks like after a piece of slice from one tray has been eaten. See how this equation can be used to predict the number of slices to be made.