introduction to applied and pre-calculus mathematics new curriculum new approach
TRANSCRIPT
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Introduction to Applied andPre-Calculus Mathematics
New CurriculumNew Approach
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Your Presenters:
• Steven Erickson– 8 years teaching Applied, Pre-Calculus and
Consumer Math at Sisler High School in Winnipeg
• Scott Smith– 15 years teaching Pre-Calculus Math, with the last
11 at Pinawa Secondary School
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Agenda• Introductions• Course overview• Bouncing ball Activity• Lifestyle Break• More bouncing ball and more suggestions• Lunch• Algebra• Lifestyle Break• Resources• Question and Answer with Carole
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Who are You?
• Tell us your background…– Where do you teach?– What grade levels and courses do you normally
teach?– How long have you been teaching?– Have you had a chance to look over the new
Manitoba Framework document?
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WNCP process
• The process includes Manitoba, Saskatchewan, Alberta, British Columbia, The Yukon, Northwest Territory and Nunavut.
• Taking part in a joint process means better textbooks and other support materials.
• Students moving between provinces are not hindered by differences in provincial curricula.
• The curriculum is being updated to meet the demands of a rapidly changing society.
• The previous framework was agreed on in 1996.
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Why Change?
• Course materials needed updating to reflect changes in technology, student background and a changing world.
• A reduction in content allows multiple approaches to achieve deeper understanding and connections within and between topics.
• A combined course allows students more time and more information to make a decision regarding further courses in math.
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Vision for Introduction to Applied and Pre-Calculus Math
• In order for students to make a good decision they must get a good blend of approaches
• As much as possible each topic should start with concrete hands on activities and develop into the abstract and theoretical.
• Integration of technology is critical.• Student should have the opportunity to discuss
mathematical ideas to make meaningful connections.• A variety of approaches will help students with various
learning styles understand mathematics.– A student prepared study sheet is useful for modelling
study process.
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Course Overview
• Take a look at the topics– Measurement– Algebra and Number– Relations and Functions
• Topics ≠ Units• Potential unit groupings– The order is flexible– The textbooks, distance ed and web-based
courses could each have different orders
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Activity: Bouncing Ball
•Data Collection
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Break
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Calculations
• Create your graphs• Analyze your results• Determine the equation of the line of best fit.– If you brought a calculator or laptop feel free to
use it
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Analysis
• Compare results and techniques, technology vs manual methods
• Discuss extensions, “what if’s”• Discuss which outcomes this is connected to
by comparing to the topic chart
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Student Self Assessment
• Purpose:– To help students reflect on their learning throughout
the course– To help students make a meaningful decision with
regards to further math courses– Could be done electronically so that the boxes can be
expanded to add more information• Collaborative– It is a useful discussion tool for conferencing with
students and parents.
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Lunch Break
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Distance-TimeMatch the graph
• Resource Activity
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Building Algebraic Ideas
• Drawing rectangles that have a given area connects the topic to previous grades
• Multiplying with algetiles – 10’s and 1’s for numbers– variables and units for binomials
• Array model multiplication by paper and pencil method to extend the model– Can include positives and negatives more easily
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Irrational Numbers
• Grouping numbers activity• Real life connections to irrational numbers:
golden ratio, pi, e, and others.• Assessment task: location on a number line• Estimation of irrational numbers by
estimation.
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Break
Give us your Stickies!
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Resources
• Framework Booklet– Pages 1 to 19 for introduction and philosophy– Page 99 for Introduction to Applied and Pre-
Calculus
• Wiki• Web Board• CD• SAG / LIFT
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Question and Answer