Unit at a glance
22 lessons, 990 minutes of teaching
Scheme of work
The lessons in order
| Ref | Lesson pack | Structure | Worksheet | Quiz | Lab tab |
|---|---|---|---|---|---|
| 2.1 | Algebraic notation and substitution A letter in algebra is a number you have not met yet. | Numbered Heads Together | 6 Q, 15 marks | 6 MCQ | tab 1 |
| 2.2 | Expanding brackets and simplifying Collect like terms, multiply out single brackets, then pairs of brackets, and (Extended) three brackets. | Round Table | 6 Q, 17 marks | 6 MCQ | tab 2 |
| 2.2 | Factorising expressions Factorising writes an expression as a product. | Rally Coach | 6 Q, 18 marks | 6 MCQ | tab 3 |
| 2.3 | Algebraic fractions Extended. | Numbered Heads Together | 6 Q, 18 marks | 6 MCQ | tab 6 |
| 2.4 | Indices II: algebraic and fractional indices Apply the laws of indices to letters as well as numbers: positive, zero and negative powers, then (Extended) fractional powers, and use matching bases to solve equations such as \(2^{x} = 32\). | Round Table | 6 Q, 18 marks | 6 MCQ | tab 5 |
| 2.5 | Forming and solving linear equations An equation is a balance: do the same to both sides and it stays true. | Rally Coach | 6 Q, 20 marks | 6 MCQ | tab 1 |
| 2.5 | Changing the subject of a formula Rearranging a formula is solving an equation with letters instead of numbers. | Numbered Heads Together | 6 Q, 18 marks | 6 MCQ | tab 2 |
| 2.5 | Simultaneous equations Two unknowns need two equations. | Round Table | 6 Q, 22 marks | 6 MCQ | tab 3 |
| 2.5 | Solving quadratic equations Extended. | Rally Coach | 6 Q, 23 marks | 6 MCQ | tab 4 |
| 2.2 | Completing the square Extended. | Numbered Heads Together | 6 Q, 19 marks | 6 MCQ | tab 4 |
| 2.6 | Linear inequalities and the number line An equation pins \(x\) to a single value; an inequality allows a whole stretch of the number line. | Frayer Model | 6 Q, 14 marks | 6 MCQ | tab 5 |
| 2.6 | Inequalities as regions on a graph Extended. | Connect-Extend-Challenge | 6 Q, 17 marks | 6 MCQ | tab 6 |
| 2.7 | Sequences and the nth term When a sequence goes up or down by the same amount each time, one short formula gives any term you like: the 10th, the 100th, or the first one past 1000. | Anticipation / Reaction Guide | 6 Q, 17 marks | 6 MCQ | tab 2 |
| 2.7 | Quadratic, cubic and exponential sequences Not every sequence goes up in equal steps. | Cooperative Concept Mapping | 6 Q, 19 marks | 6 MCQ | tab 3, tab 4 |
| 2.8 | Direct and inverse proportion Extended. | Rally Coach | 6 Q, 19 marks | 6 MCQ | tab 5 |
| 2.9 | Conversion, distance-time and speed-time graphs Real graphs tell stories: how many kilometres in a mile, when a cyclist stopped for a rest, how hard a car braked. | Mix-Pair-Share | 6 Q, 18 marks | 6 MCQ | tab 7, tab 5, tab 6 |
| 2.10 | Graphs of functions: tables, plotting and tangents Every graph in Paper 4 starts the same way: a table of values, carefully plotted points and a smooth curve. | Jigsaw | 6 Q, 17 marks | 6 MCQ | tab 1, tab 4 |
| 2.10 | Solving equations graphically Some equations are hard to solve by algebra, but easy to solve with a graph: draw the right line, find where it crosses the curve, and read down to the \(x\)-axis. | Corners | 6 Q, 17 marks | 6 MCQ | tab 3 |
| 2.11 | Sketching curves: roots, intercepts and turning points A sketch is not a plot. | Frayer Model | 6 Q, 18 marks | 6 MCQ | tab 2 |
| 2.12 | Differentiation: gradient functions Extended. | Connect-Extend-Challenge | 6 Q, 16 marks | 6 MCQ | tab 4, tab 5 |
| 2.12 | Stationary points Extended. | Anticipation / Reaction Guide | 6 Q, 19 marks | 6 MCQ | tab 6 |
| 2.13 | Functions: notation, inverse and composite Extended. | Cooperative Concept Mapping | 6 Q, 17 marks | 6 MCQ | tab 1, tab 2, tab 3 |
Each pack holds the plan, worksheet and quiz for its lesson. Teach the rows in order; the lab tabs match the student lessons.
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