Principles of Mathematics 11 -
Number (Number Operations)
This sub-organizer contains
the following sections:
Prescribed Learning Outcomes
Suggested Instructional Strategies
Suggested Assessment Strategies
Recommended Learning Resources
PRESCRIBED LEARNING
OUTCOMES
It is expected that students
will solve consumer problems, using arithmetic operations.
It is expected that students
will:
- solve consumer problems,
including:
- wages earned in various
situations
- property taxation
- exchange rates
- unit prices
- reconcile financial
statements including:
- cheque books with
bank statements
- cash register tallies
with daily receipts
- solve budget problems,
using graphs and tables to communicate solutions
- solve investment and
credit problems involving simple and compound interest
SUGGESTED
INSTRUCTIONAL STRATEGIES
A working knowledge of the
skills involved in money management is of advantage to all students throughout
their lifetimes. An understanding of procedures and applications of mathematics
can help students make rational economic decisions.
- Explain various deductions
from earnings, then have students determine the effects of these deductions
on gross pay. Students who have jobs could use their pay slips as examples.
- Have students use tables,
calculators, and computer spreadsheets to compare the effects of various rates
of compounding interest on personal investments and loans.
- Invite a guest speaker
(e.g., accountant, banker, financial planner) to talk about credit and loans.
Have students prepare questions that focus on the underlying mathematics involved.
- Ask students to use
information collected from advertising (e.g., print, television, on-line)
to compare the cost of paying cash for an item to the cost of buying on a
variety of credit plans.
- Have students use spreadsheet
software to:
- record and track
expenditures
- build mortgage and
other repayment schedules
- Have each student use
spreadsheet software to prepare a budget, given:
- an income (e.g.,
salary, wages, commissions, investments, pension)
- fixed expenses (e.g.,
utilities, rent, insurance, deductions, savings, investment)
- variable expenses
(e.g., clothes, entertainment)
- Ask students questions
that require interpretation of the budget (e.g., How long would it take to
save enough money to make a major purchase?).
SUGGESTED ASSESSMENT
STRATEGIES
Consumer problems play
an important role in the daily lives of students. To assess students’ thinking
and the strategies they are using, note their abilities to estimate, predict,
calculate (using appropriate formulae and technology), make financial decisions,
and verify the reasonableness of their conclusions. As they check their solutions
and justify their mathematical thinking, look for evidence of developing abilities
to communicate mathematically.
Observe
- As students work on
problems involving money management, observe their abilities to:
- accurately create
and modify various tables.
- explain the advantages
and disadvantages of using credit cards, installment plans, and bank loans
- While students solve
consumer problems, note the extent to which they:
- estimate and verify
their results using appropriate technology
- apply a variety
of strategies
- generalize from their
solutions
- assess the usefulness
of different Suggested Instructional Strategies
- observe soundness
of reasoning for financial decisions
Question
- Have each student interview
someone who works in the financial field, and write a report summarizing the
research. Review each report, looking for evidence that the student is able
to:
- identify all facets
of the job
- give information
about the use of technology in the industry
- identify personal
attributes and required skills for workers in the field
- general a list of
educational requirements
Collect
- Have students create
budgets of income and expenses for their personal situations using spreadsheet
and graphics programs.
RECOMMENDED LEARNING
RESOURCES
Print
Materials
- Mathematics 11, Western Canadian Edition
Ch. 1 (Sections 1.1 - 1.8)
- MATHPOWER 11, Western Edition
Ch. 9 (Sections 9.1 - 9.7)
Software
- Secondary Math Lab Toolkit
©
2000 Copyright. All Rights Reserved. Curriculum Branch.
Maintained by: Mathematics Coordinator
Revised: November 15, 2000
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