Very much a work in progress. Over time I hope to compile some quality tasks for use at SQA Higher Maths. This stuff is arranged in the old (proper) order for Higher. None of that crazy SQA unit order here!

Model Paper for Special 2021 Arrangements

**Straight Line**

- Drawing Altitudes, Medians and Perpendicular Bisectors
- Everything!
- Identifying Information Requires: Altitudes, Medians and Perpendicular Bisectors
- m = Tan&
- Medians and Altitudes
- Median – Working Backwards

**Functions**

- Composite Functions Matching Task
- Composite Functions Scaffolded
- Domain and Range
- Function Composition – Graphical Explanation
- Function Pyramids
- Graphing Inverse Functions
- Odd One Out
- Transformations of Functions – 2 Steps
- Transformations of Functions – 3 Steps

**Trigonometry (Unit One)**

- Deciding Which Quadrants to Select
- Evaluating Trig Expressions
- Exact Values Match Up
- Fractions involving Pi (Pre-radians worksheet)
- ‘Quadratic’ Trig Equations – Scaffolded Intro
- Radian Measure Intro
- Related Exact Values

**Logs and Exponentials (Unit One)**

**Differentiation** (Unit One)

- Preparing for Differentiation – Negative and Fraction Indices
- Preparing for Differentiation – Quotients
- Equation of a Tangent to a Curve
- Optimisation
- Scaffolded Differentiation Practice
- Scaffolded Differentiation Practice (Harder!): Quotients, Brackets etc
- Sketching the graph of the Derived Function
- Stationary Points

**Recurrence Relations**

**Polynomials**

A note: I don’t use synthetic division, so you won’t get resources which specifically focus on that technique. However, you might like my article: https://startingpointsmaths.com/2019/05/10/a-progression-from-long-multiplication-to-algebraic-long-division/ This gives a deep dive on the rationale for using grid model instead.

- Cubic Polynomials – Factorising and Sketching
- Grid Multiplication and Division (Algebra)
- Polynomials – Finding Missing Coefficients

**Quadratics**

- Basic Quadratic Understanding
- Increasingly Difficult Quadratics and Polynomials
- Quadratic Inequalities Pre-Requisite Task
- Scaffolded Quadratic Inequalities. – Susan Whitehouse Task
- Quadratic Inequalities – Hidden in another context

**Integration** (Unit Two)

- Areas – Isolating the key ideas
- Area Between Two Curves – Scaffolded
- Increasingly Difficult Integration

**Trigonometry (Unit Two)**

**Circle**

**Further Calculus**

**Vectors**