Maths explained with pictures and worked examples, from Pythagoras to word problems. Each post goes with a letsBug video and ends with practice questions.
- Pythagoras Theorem Visual Proof: Why a² + b² = c²: See why a² + b² = c² by moving four triangles inside a square. Then find any missing side, test for a right angle and dodge the classic mix-up.
- SOH CAH TOA: How to Know Which Trig Ratio to Use: Label the sides from the angle, tick the side you know and the one you want, and they pick sin, cos or tan. Worked examples, step by step.
- How to write equations from word problems in 4 steps: How to write equations from word problems: name the unknown, translate, find what's equal, test it. And why 5 less than x is x − 5, not 5 − x.
- How to share in a ratio: why 2:3 is not 2/3: How to share in a ratio: add the parts, find one part, multiply. Why 2:3 gives 2/5, not 2/3, plus the unitary method and real best buys.
- How to find the price before VAT: reverse percentages: How to find the price before VAT: divide by 1.2, don't take 20% off. £60 with VAT was £50, not £48. Reverse percentages, step by step.
- What is y = mx + c? Gradient and y-intercept explained: What is y = mx + c? m is the gradient (how steep) and c is where the line crosses the y-axis. A steeper line has a bigger m, not a bigger c.
- Section formula and distance formula: don't swap m and n: Section formula: the point that divides AB in the ratio m : n. Don't swap m and n: a 1 : 2 point is nearer A. Plus the distance formula.
- How to solve simultaneous equations: chickens and rabbits: How to solve simultaneous equations by elimination: 35 heads and 94 legs mean 23 chickens, 12 rabbits. Multiply every term, then check both equations.
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