High School Block:

Financial and Workplace Mathematics 110

Financial and Workplace Mathematics 110 provides opportunity to develop mathematics skills applied in post-secondary, work ready, and life contexts.  Learners will apply proportional reasoning to slope and scale; interpret views of and analyze 3-D objects; create graphs and analyze data. Learners will enact and apply prior knowledge of unit pricing and currency exchange, understanding of income and personal finances, understanding of simple and compound interest, applications of trigonometric ratios and Pythagorean theorem, Système International (SI) and Imperial systems of measurement, and problems involving 3-D objects. This course develops pathways to further applications of mathematics in post-secondary, work ready and life contexts.

Topics include right triangles; trigonometry; scale representations; renting and buying; investment portfolios; personal budgets; applications of formulae; slope; and proportional reasoning. Geometry, Measurement, and Finance 10 is recommended prior to enrolling in Financial and Workplace Mathematics 110.

CONTEXTS AND CONCEPTS

Strategies

  • Using algorithms, mental procedures, technology/tools, and other strategies
  • Determining appropriate units of measure and precision
  • Determining the reasonableness of the answer and explaining thinking
Processes

  • Using calculators
  • Modeling
  • Working with appreciation, depreciation, leasing, and renting concepts
  • Working with bond, investment certificate, and share concepts
  • Working with budget, fixed, and variable expenses concepts
  • Unit analysis
  • Creating graphs
  • Extrapolation and interpolation
Fluency

  • Conversion between formats, representations, and equivalents of numbers
  • Ways to present information/data
  • Scale factors
Communication

  • Scale statements
  • Orthographic drawings
  • Isometric drawings
  • Exploded view diagrams
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GRADE 11

Strand: Number

Big Idea: Financial Applications

Skill Descriptor: Analyze costs and benefits of renting, leasing, and buying.

Global Competencies: CM, CTPS, ICE, SASM

Achievement Indicators:

  • Identify and describe examples of assets that appreciate, depreciate, and both appreciate and depreciate
  • Compare renting, leasing, and buying, and justify personal choice given specific situations
  • Manipulate formulae involving renting, leasing, or buying to solve problems
  • Complete cost-and-benefit analysis using technology

Skill Descriptor: Analyze investment portfolios.

Global Competencies: CTPS, ICE, SASM

Achievement Indicators:

  • Compare and contrast given investment portfolios
  • Determine the total value of investments when there are regular contributions to the principal using technology
  • Graph and compare the total value of investments with and without regular contributions
  • Apply the Rule of 72 to solve investment problems
  • Determine possible investment strategies to achieve financial goals using technology
  • Compare and contrast long-term and short-term investment options
  • Solve investment problems

Skill Descriptor: Solve problems that involve personal budgets.

Global Competencies: CM, CTPS, ICE, SASM

Achievement Indicators:

  • Identify types of income and expenses that should be included in personal budgets
  • Explain considerations that must be made when developing personal budgets
  • Create personal budgets based on given income and expense data to achieve personal post-secondary, work ready, or life goals
  • Analyze unexpected events related to personal budgets
  • Justify selection of specific financial skills or applications used in personal budget decision-making

Big Idea: Algebra

Skill Descriptor: Apply formulae to contextual problems.

Global Competencies: CM, CTPS

Achievement Indicators:

  • Describe the components of post-secondary, work ready, or life contextual problems
  • Justify choices of formulae to solve problems
  • Develop fluency manipulating formulae using algebraic reasoning
  • Apply specific formulae to solve post-secondary, work ready, or life contextual problems

Skill Descriptor: Apply an understanding of slope to contexts.

Global Competencies: CM, CTPS

Achievement Indicators:

  • Describe contexts involving slope
  • Describe slope as rise over run using examples
  • Describe contexts where slope is considered zero
  • Describe characteristics of and compare slopes using diagrams
  • Describe relationships between slopes and angles of elevation
  • Identify limitations between calculating slope and the corresponding slope in context (e.g., precision criteria)

Skill Descriptor: Apply proportional reasoning and unit analysis to contexts.

Global Competencies: CM, CTPS

Achievement Indicators:

  • Create tables that compare units of measurement
  • Convert within or between measurement systems using equivalent ratios or tables
  • Compare non-equivalent quantities using proportional reasoning
  • Apply unit analysis to solve problems
  • Justify decision-making based on criteria (e.g., post-secondary, work ready, life contexts; economic and environmentally sustainable systems; precision; optimization using proportional reasoning

Strand: Shape and Space

Big Idea: Geometry

Skill Descriptor: Apply properties of right triangles.

Global Competencies: CTPS

Achievement Indicators:

  • Identify right triangles in diagrams
  • Create 2-D representations of right triangles meeting criteria
  • Apply properties of right triangles to solve non-contextual problems
  • Apply properties of right triangles to solve contextual problems involving primary trigonometric ratios
  • Apply properties of right triangles to solve contextual problems involving angles of elevation and/or depression
  • Justify whether solutions to problems involving right triangles are reasonable

Skill Descriptor: Apply proportional reasoning involving scale.

Global Competencies: CM, CTPS

Achievement Indicators:

  • Describe contexts where scale representations may be used
  • Interpret scale diagrams
  • Justify reasonable scales within post-secondary, work ready, or life contexts
  • Determine dimensions from given scale diagrams considering precision criteria

Skill Descriptor: Analyze 3-D objects using point of perspective views.

Global Competencies: CTPS

Achievement Indicators:

  • Create 2-D representations of given 3-D objects
  • Identify points of perspective as top/bottom, front/back, or side views of given 3-D objects
  • Create top/bottom, front/back, and side views of given 3-D objects
  • Create 3-D representations or models of given top/bottom, front/back and side views with or without technology (e.g., isometric dot paper)
  • Justify or verify whether given views of 3-D objects represent corresponding objects

Skill Descriptor: Interpret exploded views and corresponding component parts of 3-D objects.

Global Competencies: CM, CTPS

Achievement Indicators:

  • Describe and justify component parts of given 3-D objects
  • Identify contexts in which exploded views are used
  • Identify component parts within exploded view diagrams of 3-D objects
  • Create 2-D representations of 3-D objects given their exploded views
  • Model component parts considering precision criteria and using exploded views of 3-D objects

Strand: Statistics and Probability

Big Idea: Data Analysis

Skill Descriptor: Analyze data using graphs.

Global Competencies: CM,CTPS

Achievement Indicators:

  • Analyze examples of graphs to identify trends that may represent relationships
  • Discuss how different types of graphs can be used to communicate different messages from the same set of data
  • Discuss how properties of specific graphs can be manipulated to communicate different messages from the same set of data
  • Justify choices of graphs used to represent sets of data
  • Create graphs to represent given sets of data with or without technology
  • Interpolate and extrapolate values from given graphs using rate of change or slope
  • Interpret graphs to solve post-secondary, work ready, or life contextual problems
  • Research data examples of systemic racism and discrimination including power relations in data collection, environmental racism, and racial profiling
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