Gr. 7-8
Instructor:
Gordon Zhao
This course will be taught be Gordon Zhao who is a grade 11 student at Western Canada High School. He is enrolled in full IB and currently has a mark of 100 in Math 30 IB. Outside of school, Gordon enjoys playing multiple sports such as volleyball, basketball, and soccer. He played on the Senior Boys Volleyball Team for Western Canada High School and competitively on a club team. Gordon is passionate about math and sciences and he especially loves finding creative and efficient solutions to math problems. He is dedicated to excellence and loves teaching others.
Course outline:
The following topics will be covered in this course:
- Representing and Comparing Numbers
- Operations
- Ratios, Rates, and Proportions
- Bisectors and Properties of Shapes
- Area, Volume, and Angles
- Transformations of Shapes
- Representing Patterns
- Equations and the Pythagorean Theorem
- Data Collection and Graphs
- Data Analysis
- Probability
Lesson 1: Representing and Comparing Numbers
- Rational Numbers
- Number lines
- Describing fractions as decimals
- Multiples of positive integers
- Factors of positive integers
- Prime factorization
- Greatest common factor
- Exponents
Lesson 2: Operations
- Addition of rational numbers
- Subtraction of rational numbers
- Multiplication of rational numbers
- Multiplication as scaling
- Division of rational numbers
- Order of operations
- Square roots of positive integers
- Order of operations
Lesson 3: Ratios, Rates, and Proportions
- Ratios
- Percentages
- Converting measurement units
- Proportionality
- Rates and Equations
- Rates and Proportional relationships
Lesson 4: Bisectors and Properties of Shapes
- Points, lines, and angles
- Triangles
- Angle bisectors
- Perpendicular bisectors
- Quadrilaterals
- Polygons
- Diagonals in Quadrilaterals
- Circles
- Applications of Circles
Lesson 5: Area, Volume, and Angles
- Areas of parallelograms, triangles, and trapezoids
- Area of composite shapes
- Surface area
- Volume of prisms
- Circumference and area of a circle
- Volume of a cylinder
- Angles and intersecting lines
- Parallel lines and transversals
Lesson 6: Transformations of Shapes
- Congruency
- Congruent triangles
- The cartesian coordinate system
- Graphing images under transformations
- Tessellations
- Similarity
- Similar triangles
- Dilation
- Indirect measurements
Lesson 7: Representing Patterns
- Patterns in sequences
- The general term
- Variables
- Recognizing different patterns
- Graphing patterns
- Representing sequences
- Equivalent expressions of the general term
- Representing sequences using equations
- Decreasing sequences
- Sequences all around us
Lesson 8: Equations and the Pythagorean Theorem
- Variables and expressions
- Linear relationships
- Modelling equations
- Solving equations using visual models and by inspection
- Solving equations by trial and error
- Solving equations using algebra
- Evaluating expressions and solving equations
- Equations with multiple variables
- The Pythagorean theorem
Lesson 9: Equations and the Pythagorean Theorem
- Types of data
- Bias in data collection
- Organizing data in tables and graphs
- Bias in data representation
- Continuous data
- Organizing numerical data into intervals
- Histograms
- Scatter plots
Lesson 10: Data Analysis
- Mean, median, and mode
- Changes in measures of central tendency
- Choosing a measure of central tendency
- Interpreting data
- Rates of change on scatter plots
- Using measures of central tendency to make comparisons
Lesson 11: Probability
- Probabilities of single events
- Independent events
- Experimental probability
- Using probabilities to make predictions
- Experimental versus theoretical probability
- Complementary events
- Simulations using probability models
Date & Time
- February 2, 9, 16, 23 (2021)
- March 2, 9, 16, 23 (2021)
- April 13, 20, 27 (2021)
- Tuesday 5-6pm
- *No Class: March 30 and April 6
- Online course
*No fee required
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