26a Maths problems, puzzles and ideas (pdf)

A pdf of a 46 slide PowerPoint that introduces or utilises many mathematical concepts. Mainly for post-primary settings but elements could be used in primary.

There is at least a months material for lessons and will be useful for revision classes or an introduction to the concepts involved. Please review it if you download it and do put it to good use.

If you think this is good, think about purchasing the PowerPoint. It allows the teacher to introduce the key ideas to students via animated slides. Most of the ideas are easier to access through animation and slow reveal. There are answers for most problems in the slides notes. It can be downloaded here: https://www.tes.com/teaching-resources/dashboard/resource-management/add-resource/12555207/published

These are the concepts covered:

Match Combinations: generalisations, combinations, multiplicative reasoning
Two-way grids: preparation for simultaneous equations
Comparing texts: data handling, sample sizes, mode, range
Direction and distance: compass directions, left and right directions, absolute, relative
Rectangle: area, perimeter, asymptotes
Square patterns: 1. multiplicative reasoning, graphs, tables, algebraic manipulation, sequences, linear, quadratic
Dissecting a square/rectangle: tangram, square, parallelogram, triangle, proportion, percentages
Problems about perimeter and area: area, perimeter
Ratio and proportion mystery: percentages, ratio, proportion, average (mean)
House swap: interpreting distance-time graph
Probability mystery: probability, card sort
Fractions mystery: fractions, card sort
Venn diagrams: factors, multiples, prime numbers
Broken window: logic
Shikaku: introduction and development
Three problems: algebraic reasoning
Logic puzzle: introduction to this type of reasoning
What’s it worth?: preparation for simultaneous equations
Wacky races: ordinal and time logic puzzle, card sort
Sudoku
Znorlian: binary, sequences, card sort
Roofs: algebraic reasoning
Antidotes: ratio, percentages, fractions
Percentage paradox: introduction to Simpson’s paradox
Probability investigation: tally table, sequence of outcomes
Card trick: binary, base 2 place value headings