Study Plan for Higher Mathematics (Scottish Curriculum)

Resources: 1. Textbook: “Higher Mathematics for Scottish Curriculum” by [Author] 2. Past papers and specimen papers from the Scottish Qualifications Authority (SQA) 3. Online resources: - BBC Bitesize: Higher Mathematics - Scholar: Higher Mathematics - Mathisfun.com - Khan Academy: High School Math

Week 1: Algebra and Functions - Read Chapter 1 of the textbook on algebra and functions. - Practice solving linear and quadratic equations. - Solve problems involving simultaneous equations. - Resources: BBC Bitesize, Scholar, Khan Academy

Questions: 1. Solve the equation 3x + 5 = 2x - 7. 2. Find the roots of the quadratic equation x^2 - 4x + 3 = 0. 3. Solve the simultaneous equations: 2x + 3y = 10 4x - 5y = 7

Week 2: Trigonometry - Read Chapter 2 of the textbook on trigonometry. - Learn the trigonometric ratios (sine, cosine, tangent) and their applications. - Practice solving trigonometric equations and finding missing angles or sides in triangles. - Resources: BBC Bitesize, Scholar, Khan Academy

Questions: 1. Find the value of sin(45°) and cos(60°). 2. Solve the equation 2sin(x) = 1. 3. In triangle ABC, if angle A = 30°, side AB = 5 cm, and side BC = 8 cm, find the length of side AC.

Week 3: Calculus - Read Chapter 3 of the textbook on calculus. - Understand the concepts of differentiation and integration. - Practice finding derivatives and integrals of functions. - Solve problems involving rates of change and area under curves. - Resources: BBC Bitesize, Scholar, Khan Academy

Questions: 1. Find the derivative of f(x) = 3x^2 - 2x + 1. 2. Evaluate the integral of g(x) = 2x^3 + 4x^2 - 3x + 1. 3. A particle moves along a straight line with velocity v(t) = 3t^2 - 4t + 2. Find the acceleration of the particle.

Week 4: Statistics and Probability - Read Chapter 4 of the textbook on statistics and probability. - Learn about data representation, measures of central tendency, and probability concepts. - Practice solving problems involving probability and statistical analysis. - Resources: BBC Bitesize, Scholar, Khan Academy

Questions: 1. Calculate the mean, median, and mode of the following data set: 5, 7, 3, 9, 5, 2, 7. 2. A bag contains 4 red balls and 6 blue balls. What is the probability of drawing a red ball? 3. In a survey, 60% of people prefer tea over coffee. If 100 people are surveyed, how many would you expect to prefer tea?

Week 5: Revision and Practice - Review all topics covered so far. - Solve past papers and specimen papers from the SQA. - Identify areas of weakness and revise those topics. - Resources: SQA past papers, textbook, online resources

Questions: 1. Solve the following past paper questions: - 2018 Higher Mathematics Paper 1, Question 3 - 2017 Higher Mathematics Paper 2, Question 4 2. Identify any topics or concepts that you struggled with during the practice papers and revise them.

Note: Adjust the study plan duration based on your available time and progress.