Curriculum Syllabus & Outline
Markdown Syllabus# Math 10 Outline
1. Algebra & Number
- Prime factorization, radicals
- Polynomials: factorization
2. Relations & Functions
- Domain, range, graphs
- Linear & quadratic functions
3. Geometry
- Proofs, circle geometry
4. Trigonometry
- Sine/cosine/tangent ratios
5. Statistics & Probability
- Normal distribution (intro)
Educational Context & Standards
Math 10 bridges to senior math. Students factor polynomials, study quadratic functions, prove geometric statements, and use trig ratios. Prepares for Pre-Calculus 11.
Cross-Curriculum Equivalents
Canada/ON: Ontario Grade 10 Principles of Math (MPM2D)
CA-ON-MPM2D
Canada/AB: Alberta Mathematics 10C
CA-AB-MTH-10C
US/TX: Texas TEKS Geometry ยง111.41
US-TX-GEOM
US/NY: NYSED NextGen Geometry Regents
US-NY-GEOM
Structured Lesson Modules (6 Lessons)
1
Radicals
Simplify radicals. Rationalize denominators.
2
Factoring
Common factor, difference of squares, trinomials.
3
Quadratic Functions
y=axยฒ+bx+c. Vertex, intercepts.
4
Trig Ratios
SOH CAH TOA. Solve right triangles.
5
Geometry Proofs
Prove congruence/similarity.
6
Statistics
Standard deviation, normal curve.
Assessments & Check-for-Understanding
Q1
Factor xยฒ-9.
Answer
(x-3)(x+3)
Q2
Vertex of y=xยฒ-4x+3?
Answer
(2,-1)
Q3
sin 30ยฐ=?
Answer
1/2
Q4
Hypotenuse if opp=5, ฮธ=30ยฐ?
Answer
10
Q5
Simplify โ50.
Answer
5โ2
Q6
Mean of 2,4,6,8?
Answer
5