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Taken from Bridging units in mathematics – Algebra: introducing symbols, Qualifications and Curriculum Authority (QCA), 2000) Write down a few more calculations like this (and the answers to them) which use the same idea. Be creative! reduce a given linear equation in two variables to the standard form y=mx+c; calculate and interpret gradients and intercepts of graphs of such linear equations numerically, graphically and algebraically

Try to see the difference between consecutive numbers, it will help us understand the relationship between the numbers. Try to find a rule or two-stage function machine that the council can use to decide the number of paving slabs needed for any number of flowerbeds. Interpreting Algebraic Expressions A1This is a Teachers’ TV programme from the series KS3/4 Maths. In this episode, Year Seven students at St Edward's school get an inspiring introduction to number sequences and algebra courtesy of one teacher's juggling skills. Seven Squares use formulae by substitution to calculate the value of a variable, including for scientific formulae With the answer sheets included, these engaging worksheets are simple to use and really helpful when introducing KS2 children to more complex maths topics.

This is slightly beyond the scope of the KS3 Programme of Study statement about factorising by taking out a common factor. However, this video of Charlie and Alison from NRICH showing how expressions like x2 + 7x + 12 can be factorised using Multilink is very clever and engaging and will hopefully prompt you and your students to ask “could I do this with another example?” Quadratic Equations Repeating Number Patterns Worksheet - A great worksheet to use when teaching about repeating patterns. This resource can make a great addition to your math lessons on number patterns. The formula 2n + 1 can be used to calculate the value of these terms in the sequence; 3, 5, 7, 9, 11. What is 2n + 1 when n is = 13 and when n = 50 Little, C. (2008) The role of context in linear equations questions: utility or futility?, Southampton, The British Society for Research into Learning Mathematics (BSRLM)express known relations, including spatial generalisations, algebraically using accurate notation, including prioritisation of operations

use linear and quadratic graphs to estimate values of y for given values of x and vice versa and to find approximate solutions of simultaneous linear equations They should recognise and describe linear number sequences, including those involving fractions and decimals, and find the term-to-term rule.

Twinkl Tip: Laminate display resources to protect them from wear and tear. This will ensure that they can be used again and again, helping you to make the most efficient use of your planning and preparation allowance. What is a linear sequence? If you’re looking to assess pupils’ progress and understanding at the end of a series of lessons focusing on this topic, you might like to use these worksheets to carry out summative assessment. You could use them in the classroom or send them home with pupils as a homework task.