Mathematics National 5 Timeline Expressions and Formula Week Beginning 12th Aug 19th Aug 26th Aug 2nd Sept 9th Sept 16th Sept 23rd Sept 30th Sept 7th Oct Lesson Completed (/×) Significant figures and Volume - Cube/Cuboid Volume - Cylinder Volume - Cylinder Volume - Sphere Volume - Sphere Volume - Cone Volume - Cone Volume – Review & Past Paper Questions Algebra - Multiplying out brackets and simplifying Algebra – Factorise Algebra - Completing the square - unitary 𝑥 2 coefficient Algebra - Completing the square - unitary 𝑥 2 coefficient Algebra – Completing the square - unitary 𝑥 2 coefficient (include negative) Algebra – Review & Past Paper Questions Gradient – Calculating the gradient of a straight line Circle - Length of an arc/Area of a sector/Finding the angle Circle – Review & Past Paper Questions Surds - Add/Subtract and simplify including multiplying out brackets Surds - Rationalise the denominator Indices – All rules of indices Indices – Multiplying out brackets including 𝑎0 𝑎𝑛𝑑 𝑎1 Indices – Using Scientific notation Algebraic Operations – Simplifying fractions Algebraic Operations – Factorising and simplifying fractions Algebraic Operations – Add and subtract fractions Algebraic Operations – Add and subtract fractions Algebraic Operations – Multiply and divide fractions Algebraic Operations – Multiply and divide fractions Algebraic Operations – Mixed questions Surds, Indices & Algebraic Operations – Exam Style Questions Revision for NAB and Extended Unit Test Revision for NAB and Extended Unit Test NAB Extended Unit Test October Week + Volume of pyramid Mathematics National 5 Timeline Relationships Week Beginning 21st Oct 28th Oct 4th Nov 11th Nov 18th Nov 25th Nov 2nd Dec 9th Dec 16th Dec 6th Jan Lesson Straight Line – 𝑦 = 𝑚𝑥 + 𝑐 Straight Line – 𝑦 − 𝑏 = 𝑚(𝑥 − 𝑎) Straight Line – Review & Past Paper Questions Linear equations/inequalities – Solving in form 𝑎𝑥 + 𝑏 = 𝑐 𝑎𝑛𝑑 𝑎𝑥 + 𝑏 = 𝑐𝑥 + 𝑑 Linear equations/inequalities – Solving in form 𝑎𝑥 + 𝑏 = 𝑐 𝑎𝑛𝑑 𝑎𝑥 + 𝑏 = 𝑐𝑥 + 𝑑 and including brackets and fractions Simultaneous Equations - Graphically Simultaneous Equations - Substitution Simultaneous Equations - Elimination Simultaneous Equations - Elimination Simultaneous Equations - Elimination Simultaneous Equations - Elimination Simultaneous Equations - Review & Past Paper Questions Change the subject Change the subject - Review & Past Paper Questions Quadratics - Determine equation of a quadratic from graphs Quadratics - Identifying max/min T.P, roots and line of symmetry Quadratics - Constructing quadratic graphs Quadratics - Solving quadratic equations through factorisation Quadratics - Solving quadratic equations through quadratic formula Quadratics - Solving quadratic equations through quadratic formula Quadratics - Using the discriminant Quadratics - Using the discriminant Quadratics - Review & Past Paper Questions Pythagoras - Mixed examples & Converse of Pythagoras Pythagoras - Review & Past Paper Questions Properties of shape - Triangles Properties of shape - Quadrilaterals Properties of shape - Polygons Properties of shape - Circle properties including triangles Properties of shape - Circle properties including perpendicular bisector Properties of shape - Review & Past Paper Questions Similarity - Similar figures Similarity - Similar triangles Similarity - Lengths, areas and volumes Similarity - Review & Past Paper Questions Christmas Holidays Christmas Holidays Trigonometric graphs - curve sketching & identifying key features of graphs Trigonometric graphs - curve sketching & identifying key features of graphs Completed (/×) 13th Jan 20th Jan Trigonometric Functions - Solving Trigonometric Functions - Solving Trigonometric Functions - Solving Trigonometric Functions - Solving Trigonometric Functions - Identities Trigonometric Functions – Review & Past Paper Questions Revision for NAB and Extended Unit Test Revision for NAB and Extended Unit Test NAB Extended Unit Test Mathematics National 5 Timeline Applications 27th Jan 3rd Feb 10th Feb 17th Feb 24th Feb 3rd Mar 10th Mar 17th Mar 24th Mar 31st Mar 21st Apr Trigonometry - Area of a triangle Trigonometry - Sine rule to find side Trigonometry - Sine rule to find angle Trigonometry - Cosine rule to find side Trigonometry - Cosine rule to find angle Trigonometry - Mixed examples Trigonometry - All questions involving bearings Trigonometry – Review & Past Paper Questions 2D Vectors/3D Coordinates - Vector notation - directed line segment/equal vectors/vectors in opposite directions 2D Vectors/3D Coordinates - Multiplying a vector by a scalar 2D Vectors/3D Coordinates - Magnitude of a Vector 2D Vectors/3D Coordinates - Vector addition & diagrams 2D Vectors/3D Coordinates - 3D Coordinates 2D Vectors/3D Coordinates - Review & Past Paper Questions Percentages - Reverse percentages Percentages - Simple interest Percentages - Compound interest Percentages - Compound interest Percentages - Appreciation/Depreciation Percentages - Review & Past Paper Questions Fractions - Add/Subtract Fractions – Multiply/ Divide Fractions – Review & Past Paper Questions Statistics - Mean, median, mode and range Statistics - Five figure summary with Boxplot & SIQR Statistics - Standard deviation Statistics - Standard deviation Statistics - Standard deviation including comparing distributions Statistics - Scatter graphs and correlation Statistics - Scatter graphs - line of best fit Statistics – Review & Past Paper Questions Revision for NAB and Extended Unit Test Revision for NAB and Extended Unit Test NAB Extended Unit Test Revision/ Past Paper Questions to exam Easter Holidays Revision/ Past Paper Questions to exam