Mathematics 10 Individual Units
[The order of the units described here does not necesarily match the textbook, or the order in which they will be taught].
Unit 1: Real Numbers
- Evaluating radicals
- Simplifying: multiplying and dividing, rationalizing (2 periods)
- Simplifying: adding and subtracting
- Mixed practice, including using graphing calculators
- Problem solving
- Exponents: review of laws
- Rational exponents
- Practice
- Problem solving & applications
- REVIEW (2 periods)
- TEST
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Unit 2: Number Patterns
- Patterns practice
- Applications: compound interest (2 periods)
- Problem solving
- Sequences (2 periods)
- Arithmetic sequences
- Practice and problem solving
- Arithmetic series
- Practice and problem solving (2 periods)
- REVIEW (2 periods)
- TEST
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Unit 3: Polynomials
- Simplifying: Simple operations review
- Evaluating, adding/subtracting
- Multiplying/dividing (monomials)
- Multiplication
- Special products
- Practice
- Quiz
- Common factors, grouping
- Simple trinomials
(including mixed variables and common factors)
- Trinomials (a not 1) (2 days)
- Practice
- Mixed practice, with special examples
- Applications and problem solving
- REVIEW (2 periods)
- TEST
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Unit 4: Rational Expressions
- Dividing polynomials (2 periods)
- Synthetic division
- Simplifying rational expressions
- Multiplying and dividing (2 periods)
- Adding and subtracting (3 periods)
- Mixed practice (2 periods)
- Equation solving review
- Rational equations (2 days)
- Problem solving
- Special types
- REVIEW (2 periods)
- TEST
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Unit 5: Relations & Functions
- Linear relations (2 periods)
- Scatterplots & non-linear relations
- General relations
- Functions
- Practice and application problems
- REVIEW (1 period)
- TEST
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Unit 6: Coordinate Geometry
- Distance between two points
- Midpoint
- Slope (2 periods)
- Mixed practice & applications
- Linear equations:
- 'point-slope form' (2 periods)
- 'slope-y intercept form'
- Practice
- Parallel and perpendicular lines
- Graphing linear equations
- Practice & Review
- TEST
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Unit 7: Measurement & Trigonometry
- Review: surface area, volume
- Problem solving & applications
- Trigonometry review
- Law of Sines & Cosines
- Mixed practice
- Trigonometry on x-y axes
- Problems, practice & review
- TEST
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Unit 8: Statistics
- Sampling, inference and bias
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