Grade 8 Math
Grade 8 math completes the transition to algebra with linear equations, systems, and functions. Students explore irrational numbers, apply the Pythagorean theorem, and analyze bivariate data.
What You'll Learn
- Solve systems of two linear equations
- Understand and apply the Pythagorean theorem
- Understand functions as input-output mappings
- Work with irrational numbers and square roots
- Analyze scatter plots and understand correlation
- Perform geometric transformations (translate, rotate, reflect)
- Calculate volumes of cylinders, cones, and spheres
- Use scientific notation for computation
Concepts by Topic
Geometry
Apply the Pythagorean theorem to find unknown side lengths
Use the Pythagorean theorem to find distance between two points
Describe sequences of transformations
Translate figures on the coordinate plane
Rotate figures around a point by 90°, 180°, 270°
Use transformations to explain congruence and similarity
Calculate volume of cylinders using V = πr²h
Calculate volume of cones using V = ⅓πr²h
Calculate volume of spheres using V = ⁴⁄₃πr³
Determine if three side lengths can form a triangle
Apply the exterior angle theorem for triangles
Describe cross-sections of 3D shapes
Arithmetic
Understand that √2 and π are irrational and approximate them
Evaluate square roots of perfect squares and estimate others
Evaluate cube roots of perfect cubes
Apply all exponent rules fluently including negative exponents
Extend exponent rules to negative and zero exponents
Use absolute value in equations and real-world contexts
Compute fluently with scientific notation
Algebra
Compare linear functions represented in different ways
Solve equations with variables on both sides
Solve systems of two linear equations graphically and algebraically
Translate between tables, graphs, and equations of functions
Statistics
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