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Trial and Improvement

This resource contains three instant maths ideas requiring students to solve a quadratic equation, discuss what is meant by a degree of accuracy and explore discontinuous curves. The resource materials include an explanation of Cardano’s method of solving a cubic of the form x3 +mx =n and using the...

Sequences

This resource contains seventeen instant maths ideas requiring students to construct sequences from a variety of situations such as drawing stick animals, from formulae, and drawing patterns leading to linear, quadratic and cubic sequences. Other tasks include finding the number of dots in a rectangle, finding...

Formulas, Equations, Expressions and Identities

This instant maths ideas resource contains ten suggestions for activities covering collecting terms, simplifying expressions, expanding brackets, factorising, balancing equations and rearranging formulas.

The resource sheets include students’ material to accompany the alphabet code activity, a page of...

Equations

Quadratic Equations contains three instant maths ideas covering expanding two brackets, factorising expressions and completing the square and using the formula to solve equations. Students are required to explore the importance of the discriminant. The resource sheet contains number puzzles which require the...

Graphs

This Instant Maths Ideas resource contains three files:

Co-ordinates and Straight-line Graphs contains ten instant maths ideas including drawing pictures using coordinates, finding equations of straight lines, exploring the gradient of parallel lines, investigating the gradients of perpendicular lines, open-...

Inequalities

This resource from Colin Foster contains nine instant maths ideas containing an activity to assess whether students can use the less than and greater than signs appropriately, an activity using a number line on which to represent inequalities, a number of true or false activities and an exploration of quadratic...

Collecting Data

This resource contains nine instant maths ideas exploring what makes a good questionnaire, tasks requiring students to make their own questionnaire, experiments for students to perform in order to collect data, and tasks looking at the subtleties of sampling and grouping data.

Student resource sheets ask...

Presenting Data Graphically

This resource contains four instant maths ideas exploring how to represent data graphically. In the first task students record how long they watch TV, group the results and draw two separate graphs to compare boys and girls.

The second task requires students to consider what type of diagram is suitable to...

Statistical Calculations

These nine instant maths ideas explore a variety of statistical calculations. The first task asks students to discuss a spider diagram depicting descriptive statistics. Other tasks explore misconceptions when calculating different averages and consider which average is the most appropriate to use in different...

Combinations and Pascal's Triangle

Combinations consists of seven instant maths ideas including a consideration of the number of arrangements of dots used when writing in Braille, an investigation of Pascal’s triangle, investigating the number of routes through New York, exploring the number of ways six letters can incorrectly be placed in six...

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