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S4 (National 5) Subjects:MathematicsScienceEnglish Language ArtsSocial Studies & Civics
SQA / Edexcel 1MA1 / AQA 8300 (Grades 9–1)Education Scotland / SQA Official Framework📚 2 Units • 2 Sequenced Topics

National 5 Mathematics (Higher Tier): Deductive Geometry, Trigonometry & Circle Theorems

Official standards-aligned curriculum for Grade 10 / High School Mathematics. Features sequenced academic units, verified video masterclasses, interactive worked examples with self-checks, common misconceptions, practice drills, and formative quizzes.

Start Interactive Lesson (Solving Linear Equations in One Variable) →Academic Year 2026–27 • Verified Against Official Standards
Unit 1HSF-1
1 Sequenced Topics

Functions, Quadratics & Polynomial Models

Analyzing linear, quadratic, exponential, and higher-order polynomial functions and their graphical representations.

1.1
Quadratic Functions & The Quadratic Formula⚡ Video Masterclass Aligned✓ Standard Aligned
CCSS.MATH.HSG.CO.C.9 / TEKS G.5.B.1Solve Quadratic Equations by Factoring and Formula
Derive and apply the quadratic formula $x = (-b \pm \sqrt{b^2 - 4ac}) / 2a$ to find real and complex roots of second-degree polynomials.
📺 Featured Masterclass: Solve Quadratic Equations using Quadratic Formula by Math Meeting (19m 40s)
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Unit 2HSF-2
1 Sequenced Topics

Advanced Trigonometry & Limits of Functions

Exploring radian measure, the unit circle, trigonometric identities, limits, and differential calculus foundations.

2.1
Calculus: Conceptual Limits & Continuity⚡ Video Masterclass Aligned✓ Standard Aligned
CCSS.MATH.HSG.CO.C.9 / TEKS G.5.B.2Understand the Concept of a Limit of a Function
Evaluate one-sided and two-sided limits analytically, numerically, and graphically, and determine continuity.
📺 Featured Masterclass: Introduction to limits | Khan Academy by Khan Academy (08m 10s)
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