Grades 9 to 12 Mathematics - Manitoba

Grades 9 to 12 Mathematics

Manitoba Curriculum Framework of Outcomes

2014

Grades 9 to 12 M at h e m at ic s

Manitoba Curriculum Framework of Outcomes

2014

2014

Manitoba Education and Advanced Learning

Manitoba Education and Advanced Learning Cataloguing in Publication Data

Grades 9 to 12 mathematics [electronic resource] : Manitoba curriculum framework of outcomes. 2014

Based on `The common curriculum framework for K-9 mathematics' (2006) and `The common curriculum framework for Grades 10-12 mathematics' (2008)/developed by the Western and Northern Canadian Protocol.

Includes bibliographical references. ISBN: 978-0-7711-5804-9

1. Mathematics--Study and teaching (Secondary). 2. Mathematics--Study and teaching (Secondary)--Manitoba. 3. Mathematics--Manitoba--Curricula. I. Manitoba. Manitoba Education and Advanced Learning. II. Title: The common curriculum framework for K-9 mathematics. III. Title: The common curriculum framework for Grades 10-12 mathematics. 510.71

Copyright ? 2014, the Government of Manitoba, represented by the Minister of Education and Advanced Learning. Manitoba Education and Advanced Learning School Programs Division Winnipeg, Manitoba, Canada

Every effort has been made to acknowledge original sources and to comply with copyright law. If cases are identified where this has not been done, please notify Manitoba Education and Advanced Learning. Sincere thanks to the authors, artists, and publishers who allowed their original material to be used.

Permission is hereby given to reproduce this document for non-profit educational purposes provided the source is cited.

Any websites referenced in this document are subject to change.

Print copies of this resource can be purchased from the Manitoba Text Book Bureau (stock number 80627). Order online at . This resource is also available on the Manitoba Education and Advanced Learning website at . Websites are subject to change without notice.

Disponible en fran?ais.

Available in alternate formats upon request.

Contents

General and Specific Learning Outcomes

by Strand

21

Applied Mathematics

23

Acknowledgements

Number

23

v

Patterns and Relations

25

Background

Shape and Space

32

1

Statistics and Probability

35

Essential Mathematics

38

Introduction

3

Number

38

Purpose of the Document

3

Patterns and Relations

40

Beliefs about Students and Mathematics Learning

3

Shape and Space

44

First Nations, M?tis, and Inuit Perspectives

4

Statistics and Probability

50

Affective Domain

4

Pre-Calculus Mathematics

53

Goals for Students

5

Number

53

Patterns and Relations

55

Conceptual Framework for Grades 9 to 12

Mathematics

7

Shape and Space

64

Mathematical Processes

8

Statistics and Probability

66

Nature of Mathematics

12

Pathways and Topics

15

Outcomes and Achievement Indicators

17

Summary

18

Instructional Focus

19

Contents

iii

General and Specific Learning Outcomes with

Achievement Indicators by Course

69

Grade 9 Mathematics (10F)

69

Grade 10 Essential Mathematics (20S)

85

Grade 10 Essential Mathematics--Half Course I 87

Grade 10 Essential Mathematics--Half Course II 93

Grade 10 Introduction to Applied and

Pre-Calculus Mathematics (20S)

99

Grade 11 Applied Mathematics (30S)

111

Grade 11 Essential Mathematics (30S)

123

Grade 11 Essential Mathematics--Half Course III 125

Grade 11 Essential Mathematics--Half Course IV 131

Grade 11 Pre-Calculus Mathematics (30S)

139

Grade 12 Applied Mathematics (40S)

155

Grade 12 Essential Mathematics (40S)

169

Grade 12 Essential Mathematics--Half Course V 171

Grade 12 Essential Mathematics--Half Course VI 176

Grade 12 Pre-Calculus Mathematics (40S)

181

References

199

iv

Grades 9 to 12 Mathematics: Manitoba Curriculum Framework of Outcomes (2014)

Acknowledgements

The Grades 9 to 12 Mathematics: Manitoba Curriculum Framework of Outcomes is a revision of the Western and Northern Canadian Protocol (WNCP) The Common Curriculum Framework for K?9 Mathematics and The Common Curriculum Framework for Grades 10?12 Mathematics, developed through the cooperative efforts of the four western provinces and three territories. Manitoba Education and Advanced Learning would like to acknowledge the following:

Grade 9 Mathematics Development Team (until June 2009)

Ross Acree Don Bradford Harry Hodges Carol Larson Kelly Scallion Ethel Stevenson Shona Treleaven Jerrold Wiebe

Rolling River School Division St. James-Assiniboia School Division Park West School Division Swan Valley School Division Mystery Lake School District Peguis Central School Winnipeg School Division (retired) Pembina Trails School Division

Grades 10 to 12 Applied Mathematics Development Team

(until June 2009)

Cam Bennet Troy Brister Julie Cordova Steven Erickson Ross Forfar Leanne Funk Brown

Mountain View School Division Beautiful Plains School Division St. James-Assiniboia School Division Winnipeg School Division Evergreen School Division Louis Riel School Division

Acknowledgements

v

April Popple Brent Richards Kim Sklepowich

Grades 10 to 12 Essential Mathematics Development Team

(until June 2009)

Suzanne Dunwoody Alice Harms Ted Jeninga Curt Lother Carrie Malanchuk Kennet Mann Joe Oczerklewicz Edith Steeves

Grades 10 to 12 Pre-Calculus Mathematics Development Team

(until June 2009)

Dawn Birch Sherri Burroughs Melani Decelles Ian Donnelly Michael Dyck Brian Hutton Lyn Jannuska Ryan Maksymchuk Scott Smith

Southwest Horizon School Division Brandon School Division Sunrise School Division

Seven Oaks School Division Mennonite Collegiate Institute Calvin Christian Collegiate Winnipeg School Division Sunrise School Division Winnipeg School Division St. James-Assiniboia School Division Mystery Lake School District

Sunrise School Division St. John's Ravenscourt Winnipeg School Division River East Transcona School Division Garden Valley School Division Frontier School Division Brandon School Division Swan Valley School Division Whiteshell School Division

vi

Graded 9 to 12 Mathematics: Manitoba Curriculum Framework of Outcomes (2014)

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