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8B (Eighth grade, 2nd semester)

Overview: This is the second semester of our eighth grade course.

Meets: Either once a week for 3 hours or twice a week for 1.5 hours each time.
Note: Classes are longer and/or meet more frequently during the summer.

Topics:

  • Congruent and similar triangles
    • Tests for congruent triangles
    • Using congruent triangles
    • Tests for similar triangles
    • Using similar triangles
  • Mensuration
    • Sectors
    • Volume of cones and pyramids
    • Surface area of cones and pyramids
    • Surface area and volume of spheres
    • Areas of similar figures
    • Volumes of similar figures
  • Pythagorean Theorem and Trigonometry
    • Pythagora’s theorem
    • Indirect measurement
    • Trigonometrical ratios
    • Solutions of right-sided triangles
    • Applications of trigonometrical ratios to problems
  • Motion Geometry
    • Reflection
    • Rotation
    • Translation
    • Enlargement
    • Combination of transformations
  • Statistics I
    • Pie chart
    • Bar chart
    • Pictogram
    • Line graph
    • Comparison of presentations of data
    • Reading and drawing bar graphs
    • Reading and drawing pie charts
    • Reading and drawing line graphs and pictograms
  • Statistics II
    • Frequently distribution
    • Histogram
    • Mean, median, and mode
    • Types of average
  • More Algebraic Manipulations
    • Addition and subtraction of polynomials
    • Multiplication of polynomials
    • Division of polynomials
    • Algebraic fractions and fractional equations
    • Algebraic manipulation – Identities
    • Manipulation of expressions
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