Appendix A: Essentials of Math 10 Prescribed Learning Outcomes

The organizers for Essentials of Math 10 are as follows:

Problem Solving
Personal Banking
Wages, Salaries and Expenses
Spreadsheets
Rates, Ratio and Proportion
Trigonometry
Geometry Project
Probability and Sampling

It is expected that students will use a variety of methods to solve real-life, practical, technical, and theoretical problems

It is expected that students will:

• solve problems that involve a specific content area
• solve problems that involve more than one content area
• solve problems that involve mathematics within other disciplines
• analyse problems and identify the significant elements
• develop specific skills in selecting and using an appropriate problem-solving strategy or combination of strategies chosen from, but not restricted to, the following:
  • guess and check
  • look for a pattern
  • make a systematic list
  • make and use a drawing or model
  • eliminate possibilities
  • work backward
  • simplify the original problem
  • develop alternative original approaches
  • analyse keywords
• demonstrate the ability to work individually and co-operatively to solve problems
• determine that their solutions are correct and reasonable
• clearly communicate a solution to a problem and the process used to solve it
• interpret their solutions by describing what the solution means within the context of the original problem
• use appropriate technology to assist in problem solving

Personal Banking

It is expected that students will prepare bank forms including cheques, deposit slips, chequebook activity record and reconciliation statements

It is expected that students will:

• name and describe various types of commonly used consumer bank accounts
• complete various banking forms
• describe the use of a bank card for automated teller machines (ATMs) and debit payments
• identify different types of bank service charges and their relative costs
• reconcile financial statements, such as chequebooks and electronic bank transactions with bank statements

Wages, Salaries and Expenses

It is expected that students will solve problems involving wage, salaries and expenses

It is expected that students will:

• calculate hours worked and gross pay
• calculate net income using deduction tables (focus on weekly) with different pay periods
• calculate changes in income
• develop a budget that matches predicted income

Spreadsheets

It is expected that students will design and use a spreadsheet to make an justify decisions

It is expected that students will:

• create a spreadsheet using various formatting options
• use a spreadsheet template to solve problems
• create a spreadsheet using formulas and functions
• use a spreadsheet to answer "what-if" questions
• identify where spreadsheets could be effectively used

Rates, Ratio and Proportion

It is expected that students will apply the concepts of rate, ratio and proportion to solve problems

It is expected that students will:

• use the concept of unit rate to determine the best buy on a consumer item and justify the decision
• solve problems on the application of sales tax in Canada
• describe a variety of sales promotion techniques and their financial implications for the consumer
• solve rate, ratio, and proportion problems involving length, area, volume, time, mass, and rates derived from these

Trigonometry

It is expected that students will demonstrate an understanding of ratio and proportion and apply these concepts in solving triangles

It is expected that students will:

• apply ratio and proportion in similar triangles
• use the trigonometric ratios sine, cosine, and tangent in solving right triangles

Geometry Project

It is expected that students will complete a project that includes a 2-D plan and a 3-D model of some physical structure

It is expected that students will:

• measure lengths using both SI Metric and Imperial units
• estimate measurements of objects in SI and Imperial systems including:
  • length
  • area
  • volume
  • mass
• draw top, front and side views for both 3-D rod or block objects and their sketches
• sketch and build 3-D designs using isometric dot paper
• determine the relationships among linear scale factors, areas, surface areas, and volumes of similar figures and objects
• enlarge or reduce a dimensioned object according to a specified scale
• solve problems involving linear dimensions, area, and volume
• interpret drawings and use the information to solve problems
• complete a project that includes a 2-D plan and a 3-D model of some physical structure

Probability and Sampling

It is expected that students will develop and implement a plan for the collection, display and analysis of data using technology as required

It is expected that students will:

• read and interpret graphs
• discuss how collected data are affected by the nature of the sample, the method of collection, the sample size and biases
• describe issues to be considered when collecting data (e.g., appropriate language, ethics, cost, privacy, cultural sensitivity)
• select, defend and use appropriate methods of collecting data:
  • designing and using questionnaires
  • interviews
  • experiments
  • research
• determine and use measures of central tendency to support decisions
• use sample data to make predictions and decisions
• use suitable graph types to display data (by hand or using technology)
• critique ways in which statistical information and conclusions are presented by the media and other sources

© 2000 Copyright. All Rights Reserved. Curriculum Branch.
Maintained by: Mathematics Coordinator
Revised: November 28, 2000

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