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--- gcse_maths_algebra [2026/02/12 08:47] – hjb
+++ gcse_maths_algebra [2026/03/02 14:56] (current) – hjb
@@ Line 1: / Line 1: @@
+====== Algebra ======
+[[gcse_maths_notation_vocabulary_manipulation|Notation, vocabulary and manipulation]] \\
+[[gcse_maths_graphs|Graphs]] \\
+[[gcse_maths_solving_equations_and_inequalities|Solving equations and inequalities]] \\
+[[gcse_maths_sequences|Sequences]] \\
 =====Notation, vocabulary and manipulation=====
@@ Line 87: / Line 96: @@
 solve linear inequalities in one or two variable(s), and quadratic inequalities in one variable; represent the solution set on a number line, using set notation and on a graph
-**A17**
+=====Sequences=====
-solve linear equations in one unknown algebraically (including those with the unknown on both sides of the equation); find approximate solutions using a graph
-**A18**
+**A23**
-solve quadratic equations (including those that require rearrangement) algebraically by factorising, by completing the square and by using the quadratic formula; find approximate solutions using a graph
+generate terms of a sequence from either a term-to-term or a position-toterm rule
-**
-A19**
-solve two simultaneous equations in two variables (linear/linear or linear/quadratic) algebraically; find approximate solutions using a graph
-**A20**
+**A24**
-find approximate solutions to equations numerically using iteration
+recognise and use sequences of triangular, square and cube numbers, simple arithmetic progressions, Fibonacci type sequences, quadratic sequences, and simple geometric progressions (r n where n is an integer, and r is a rational number > 0 or a surd) and other sequences A25 deduce expressions to calculate the nth term of linear and quadratic sequences
-**A21**
-translate simple situations or procedures into algebraic expressions or formulae; derive an equation (or two simultaneous equations), solve the equation(s) and interpret the solution
-**A22**
+==== Sequences ====
-solve linear inequalities in one or two variable(s), and quadratic inequalities in one variable; represent the solution set on a number line, using set notation and on a graph
+==== Powers and Roots ====
-=====Sequences=====
+==== Algebra Basics ====
-**A23**
+==== Multiplying Out Brackets ====
-generate terms of a sequence from either a term-to-term or a position-toterm rule
-**A24**
+==== Factorising ====
-recognise and use sequences of triangular, square and cube numbers, simple arithmetic progressions, Fibonacci type sequences, quadratic sequences, and simple geometric progressions (r n where n is an integer, and r is a rational number > 0 or a surd) and other sequences A25 deduce expressions to calculate the nth term of linear and quadratic sequences
+==== Manipulating Surds ====
+==== Solving Equations ====
+==== Rearranging Formulas ====
+==== Factorising Quadratics ====
+==== The Quadratic Formula ====
+==== Completing the Square ====
+==== Quadratic Equations — Tricky Ones ====
+==== Algebraic Fractions ====
+==== Inequalities ====
+==== Graphical Inequalities ====
+==== Trial and Improvement ====
+==== Simultaneous Equations and Graphs ====
+==== Simultaneous Equations ====
+==== Direct and Inverse Proportion ====
+==== Proof ====
+==== X, Y and Z Coordinates ====
+==== Straight-Line Graphs ====
+==== Plotting Straight-Line Graphs ====
+==== Finding the Gradient ====
+==== “y = mx + c” ====
+==== Parallel and Perpendicular Lines ====
+==== Quadratic Graphs ====
+==== Harder Graphs ====
+==== Graph Transformations ====
+==== Real-Life Graphs ====