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