1. Introduction to Applied and Pre-Calculus Mathematics New Curriculum New Approach

2. 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

3. 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

4. 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?

5. 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.

6. 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.

7. 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.

8. 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

9. Activity: Bouncing Ball Data Collection

10. Break

11. 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

12. 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

13. 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.

14. Lunch Break

15. Distance-Time Match the graph Resource Activity

16. 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

17. 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.

18. Break Give us your Stickies!

19. 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

20. Question and Answer