Curriculum Syllabus & Outline
Markdown Syllabus# Math 8 Outline
1. Square Roots & Pythagorean Theorem
2. Integers & Rational Numbers
3. Algebra
- Linear equations in one variable
- Linear relations & graphing
4. Geometry
- Volume of cylinders/cones/spheres
- Transformations
5. Statistics
- Data representation, scatter plots
6. Financial Literacy (intro)
Educational Context & Standards
Math 8 connects algebra and geometry via the Pythagorean theorem. Students solve linear equations, graph lines, and compute volumes. Transformations (translations, rotations, reflections) introduced.
Cross-Curriculum Equivalents
Canada/ON: Ontario Intermediate Math Grade 8
CA-ON-MTH-G8
Canada/AB: Alberta Program of Studies Grade 8
CA-AB-MTH-G8
US/TX: Texas TEKS §111.28 Grade 8
US-TX-TEKS-G8
US/NY: NYSED NextGen NY-8.EE / NY-8.F
US-NY-MTH-G8
Structured Lesson Modules (6 Lessons)
1
Pythagorean Theorem
a²+b²=c². Find missing sides of right triangles.
2
Square Roots
Estimate sqrt. Simplify radicals.
3
Linear Equations
Solve equations with variables on both sides.
4
Graphing Lines
Slope-intercept form. x/y intercepts.
5
Volume
Cylinder πr²h; cone 1/3; sphere 4/3πr³.
6
Transformations
Translate, reflect, rotate, dilate on coordinate plane.
Assessments & Check-for-Understanding
Q1
Legs 3,4 hypotenuse?
Answer
5
Q2
sqrt(72) simplified?
Answer
6√2
Q3
Solve 3x-2=2x+5.
Answer
x=7
Q4
Slope through (0,2),(4,10)?
Answer
2
Q5
Volume cylinder r=2,h=5?
Answer
20π
Q6
Reflection of (3,4) over x-axis?
Answer
(3,-4)