This course consists of the following three topics with continued emphasis on problem solving techniques:
- Algebra
- Functions (changes in parameters, properties of graphs); polynomials ( 5 operations, factoring, rational expressions); graphing (linear and quadratic functions; sums, differences and products); systems of linear and quadratic equations; analytic geometry of the straight line.
- Geometry
- Simple proofs involving similar and congruent two and three dimensional figures; properties of three-dimensional figures; trigonometric ratios; law of sines and law of cosines.
- Statistics
- Sampling methods; methods of central tendency, position and dispersion; quintile and percentile rank; box-and-whiskers plots.
Textbook Links
Some 436 Textbook Links
- Nelson Mathematics textbook Site [Link]
Chapter Summaries
Some 436 Chapter Summaries
- Algebra
- The Concept of an Exponent; The Laws of Exponents; Radicals; Polynomials; Operations on Polynomials.
- Math Express [Download] [View] (PDF, 282.5 k, 14/06/06)
- Pop Quiz [Download] [View] (PDF, 661.3 k, 14/06/06)
- Reflections Chapter 2 Summary [Download] [View] (PDF, 17.3 k, 14/06/06)
- Factoring
- Factors of a Polynomial; Removing the Common Factor; Difference of Squares; Factoring Trinomials; Completing the Square; Rational Expressions; Adding and Subtracting Expressions; Multiplying and Dividing Rational Expressions.
- Math Express [Download] [View] (PDF, 806.5 k, 14/06/06)
- Pop Quiz [Download] [View] (PDF, 462.3 k, 14/06/06)
- Reflections Chapter 3 Summary [Download] [View] (PDF, 17.4 k, 14/06/06)
- Polynomial Functions
- Polynomial Functions; Constant Functions; Linear Functions; Quadratic Functions; Properties of Quadratic Functions; The Search for the Rule; Quadratic Equations; Operations on Functions.
- Math Express [Download] [View] (PDF, 1.8 M, 14/06/06)
- Pop Quiz [Download] [View] (PDF, 1.4 M, 14/06/06)
- Reflections Chapter 4 Summary [Download] [View] (PDF, 14.7 k, 14/06/06)
- Functions
- Concept of a Function; Different Types of Functions; Different Modes of Representation; Properties of Functions; The Role of Parameters in a Function.
- Math Express [Download] [View] (PDF, 1.2 M, 14/06/06)
- Pop Quiz [Download] [View] (PDF, 807 k, 14/06/06)
- Reflections Chapter 1 Summary [Download] [View] (PDF, 17.8 k, 14/06/06)
- Systems of Equations in Two Variables
- Linear Systems; Solving Algebraically; Particular Linear Systems; Linear Regression; Other Systems.
- Math Express [Download] [View] (PDF, 938.2 k, 14/06/06)
- Pop Quiz [Download] [View] (PDF, 840.6 k, 14/06/06)
- Reflections Chapter 6 Summary [Download] [View] (PDF, 15.5 k, 14/06/06)
- Isometric Figures
- Types of Statements; Other Types of Statements; Proofs; Isometric Figures; Isometric Triangles; Isometric Solids; Equivalent Figures.
- Math Express [Download] [View] (PDF, 813.6 k, 14/06/06)
- Pop Quiz [Download] [View] (PDF, 706.5 k, 14/06/06)
- Reflections Chapter 5 Summary [Download] [View] (PDF, 15.9 k, 14/06/06)
- Similar Figures
- Similarity Transformations; Properties of Similar Figures; Similarity of Triangles; Measures of Similar Figures; Solving Triangles.
- Math Express [Download] [View] (PDF, 811.9 k, 14/06/06)
- Pop Quiz [Download] [View] (PDF, 1.2 M, 14/06/06)
- Analytical Geometry
- Relations Between the Points on the Plane; Two Straight Lines; Straight Lines; Straight Lines on the Cartesian Plane; Distance from a Point to a Line; Analytical Proofs.
- Math Express [Download] [View] (PDF, 1.6 M, 14/06/06)
- Pop Quiz [Download] [View] (PDF, 1.1 M, 14/06/06)
- Reflections Chapter 7 Summary [Download] [View] (PDF, 14.4 k, 14/06/06)
- Statistical Analysis
- Statistical Studies; Sampling; Quartiles; Measures of Positions; Data Interpretation.
- Math Express [Download] [View] (PDF, 1.1 M, 14/06/06)
- Pop Quiz [Download] [View] (PDF, 1.4 M, 14/06/06)
- Reflections Chapter 8 Summary [Download] [View] (PDF, 15.8 k, 14/06/06)
Topic Summaries
Some 436 Topic Summaries
- Similar Figures in a Nutshell [Download] [View] (PDF, 235.5 k, 14/06/06)
- Trigonometry in a Nutshell [Download] [View] (PDF, 193.5 k, 14/06/06)
- Statistics in a Nutshell [Download] [View] (PDF, 23.9 k, 14/06/06)
- Quadratische [Download] [View] (German) (c) Copyright by Eidgenössische Technische Hochschule Zürich Institut für Verhaltenswissenschaft. (PDF, 360.6 k, 14/06/06)
Student Worksheets
Some 436 Student Worksheets
- Algebra Review Problems [Downlaod] [View] (c) Copyright 2003 University of North Carolina at Wilmington (PDF, 211.6 k, 14/06/06)
- Trigonomatry Review Problems [Download] [View] (c) Copyright 2003 University of North Carolina at Wilmington. (PDF, 133.8 k, 14/06/06)
Exams
Some 436 Exams
- January Exam Review [Download/View] (PDF, 17.1 M, 14/06/06)
- January 2003 Exam [Download/View] (PDF, 1.7 M, 14/06/06)
- January 2003 Exam Corrections [Download/View] (PDF, 1.1 M, 14/06/06)
- January 2004 Exam [Download/View] (PDF, 0.9 M, 14/06/06)
- January 2004 Exam Corrections [Download/View] (PDF, 1 M, 14/06/06)
- June Exam Review [Download/View] (PDF, 1.7 M, 14/06/06)
- June Exam Correction Booklet [Download/View] (PDF, 738.2 k, 14/06/06)
- Sample Exam [Download/View] (PDF, 354.1 k, 14/06/06)
- Sample Exam Correction Booklet [Download/View] (PDF, 151.4 k, 14/06/06)
- Sample Exam #2 [Download/View] (PDF, 1.7 M, 14/06/06)
- Sample Exam Correction Booklet #2 [Download/View] (PDF, 1.1 M, 14/06/06)
- Example d'examen et solution de fin d'année. [Download/View] (French) (PDF, 2.5 M, 14/06/06)
Math 436 (Grade 10)