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UK Year 9
UK Year 9 Mathematics
Curriculum
10 Sections
59 Lessons
60 Hours
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Algebra
12
1.0
Polynomials
1.1
Understanding polynomials, monomials, binomials, and trinomials
1.2
Adding, subtracting, multiplying, and dividing polynomials
1.3
Factoring polynomials
1.4
Quadratic Equations
1.5
Solving quadratic equations by factoring, completing the square, and using the quadratic formula
1.6
Graphing quadratic functions
1.7
Applications of quadratic equations
1.8
Systems of Equations
1.9
Solving systems of linear equations algebraically and graphically
1.10
Solving systems of equations with substitution and elimination
1.11
Applications of systems of equations
Geometry
11
2.0
Congruence and Similarity
2.1
Identifying and proving congruent and similar triangles
2.2
Using similarity to find missing side lengths and angles
2.3
Theorems involving congruence and similarity
2.4
Coordinate Geometry
2.5
Graphing linear equations and inequalities on the coordinate plane
2.6
Finding equations of lines and their slopes
2.7
Applications of coordinate geometry
2.8
Circles
2.9
Properties of circles, arcs, and central angles
2.10
Circumference and area of circles
Statistics and Probability
8
3.0
Probability Distribution
3.1
Probability density functions and cumulative distribution functions
3.2
Binomial and normal distributions
3.3
Probability calculations involving distributions
3.4
Data Analysis
3.5
Advanced data analysis techniques
3.6
Inferential statistics and hypothesis testing
3.7
Using statistical software for analysis
Algebra
5
4.0
Linear Equations and Inequalities
4.1
Solving linear equations with one variable
4.2
Graphing linear equations on a coordinate plane
4.3
Solving linear inequalities and systems of linear equations
4.4
Quadratic Equations
3
5.0
Understanding quadratic functions and equations
5.1
Solving quadratic equations by factoring, completing the square, and using the quadratic formula
5.2
Graphing parabolas
Trigonometry
7
6.0
Trigonometric Ratios
6.1
Introduction to sine, cosine, and tangent ratios
6.2
Using trigonometric ratios to solve right triangles
6.3
Applications of trigonometry in real-world scenarios
6.4
Trigonometric Identities
6.5
Fundamental trigonometric identities (sin^2 + cos^2 = 1, etc.)
6.6
Simplifying trigonometric expressions Verifying trigonometric identities
Functions
4
8.0
Function Notation
8.1
Understanding and using function notation
8.2
Domain and range of functions
8.3
Inverse functions
Exponential and Logarithmic Functions
3
9.0
Exponential growth and decay
9.1
Properties of logarithmic functions
9.2
Solving exponential and logarithmic equations
Coordinate Geometry
3
10.0
Graphing linear equations and inequalities on the coordinate plane
10.1
Finding equations of lines and their slopes
10.2
Applications of coordinate geometry
Circles
3
11.0
Properties of circles, arcs, and central angles
11.1
Circumference and area of circles
11.2
Relationships between circles and angles
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