Chord Maths Ultimate CM4 Revision Video

Overview

• Target Audience: Students revising for M4 in the CA GCSE maths course.
• Topics Covered: Algebra, Geometry, Statistics, and Number topics.
• Video Structure: About five minutes spent on each topic to ensure familiarity.
• Supplementary Resources: M3 and M2 videos for further revision; accompanying booklet with practice questions.

Algebra Topics

Quadratic Formula

• Factorizing Techniques: Inspection and split middle term.
• Example: Factorize 5x^2 + 13x + 6 using both techniques.
• Factorization Patterns: Importance of recognizing two numbers that multiply to a specific term.

Solving Quadratic Equations

• Utilization of Factorization: For solving equations like 3x^2 - 10x - 48 = 0.
• Algebraic Fractions: Expressing as single fractions by finding common denominators.

Algebraic Fractions & Equations

• Combining Fractions: Use common denominators.
• Example Problems: Solving equations such as 2/x - 3 + 1/x - 4 = 2.

The Quadratic Formula

• Formula: x = [-b ± sqrt(b^2 - 4ac)] / 2a.
• Example: Solve 2x^2 - x - 9 = 0.

Word Problems

• Example: Finding width and length of a field given area.

Perpendicular Lines

• Characteristics: Negative reciprocals of gradients.
• Example: Given line perpendicular to y = -4x + 7, find equation through point (8, 3).

Geometry Topics

Circle Theorems

• Theorems Covered: Angle in a semicircle, angles from the same segment, cyclic quadrilateral, radius and tangent, alternate segment theorem.
• Example Problems: Application of theorems to find angles.

Volume and Surface Area

• Focus on Frustums: Derived from cones/pyramids.
• Volume Formula: 1/3 * (Area of Base) * Height.
• Example: Calculating volume of a frustum of a cone.

Statistics Topics

Stratified Sampling

• Formula: (Number in Category / Total) * Sample Size.
• Example: Sampling students from different year groups.*

Histograms

• Purpose: Representing grouped data fairly.
• Frequency Density: Frequency divided by class width.
• Example Problems: Creating and interpreting histograms.

Number Topics

Applying Bounds

• Concept: Finding greatest possible range using upper and lower bounds.
• Example Problems: Applying to scenarios such as speed calculations.

Study Recommendations

• Revision Checklist: Available for download to track progress.
• Supplementary Materials: Accompanying question booklet and Corporate Maths resources.
• Methodology: Little and often approach for effective study, using resources like 5-a-day tasks in higher books.

Conclusion

• Aim: To support students in effectively revising M4 topics through a structured and resource-rich approach.
• Additional Resources: Encouragement to engage with further detailed explanations through Corporate Maths videos and materials.