Grade 8 Advance Math
This course is designed for above average grade 8 students who are planning to compete in the University of Waterloo Gauss 8 math contest.
- Understand and apply the Pythagorean theorem
- Be able to identify Pythagorean tripples
- Determine the distance between two points on a coordinate system
- Estimate the value of square roots
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Pythagorean Theorem
Concepts
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Review: angles, area, surface area
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Be able to determine the surface area and volume of prisms, cones, cylinders and spheres
- Work with composite shapes
Geometry theory
Goals
- Review: prime factorization, finding GCF/LCM
- Review: using prime factorization to reduce fractions
- Be able to perform operations involving negative integers
- Work with BEDMAS
- Know the power rules
- Understand negative exponents
- Work with scientific notations
- Introduction to number theory
Goals
- Work with expressions
- Solve one-step equations
- Solve multi-step equations
- Factoring of expressions
- Working with word problems
- Math modelling of real life problems
- Solve equations with fraction parts
- Solve equations with roots parts
- Solve simple equations with exponents 2, 3
Solving equations
Goals
- Be able differentiate between rational and irrational numbers
- Identify rational and irrational numbers
- Draw the Venn diagram of the real number system
- Estimate the value of square roots
- Converting repeating deciamals to fractions
Goals
- Be able to graph linear equations
- Understand the concept of Range and Domain
- Math modelling of real life problems
Goals
- Understanding of sets and subsets
- Be able calculate probabilites of events
- Introductory combinations problems
- Work with coloring problems
Concepts: congruent and similar triangles
Textbooks
- Math Makes Sense 8
- McGraw-Hill Ryerson Mathematics 8
- Pre-Algebra 8 Common Core State Standdards