High School Block:

Financial and Workplace Mathematics 120

Financial and Workplace Mathematics 120 provides opportunity to develop mathematics skills applied in post-secondary, work ready, and life contexts.  Learners will apply financial literacy concepts; analyze puzzles and games; work with measurement contexts; apply properties of shapes; apply trigonometric laws; apply understanding of linear relations; interpret chance and uncertainty. Learners will enact and apply prior knowledge of renting, leasing, and buying, personal budgets, applying formulae, applying understanding of slope, proportional reasoning and unit analysis, properties of right triangles, proportional reasoning and scale, and analysis of data.

Topics include measuring; sine and cosine laws; properties of polygons and circles; transformations of 2-D shapes; personal financial management; linear relationships; data interpretation; probability and odds. 

Financial and Workplace 110 is recommended prior to enrolling in Financial and Workplace Mathematics 120.

CONTEXTS AND CONCEPTS

Strategies

  • Applying logical reasoning
  • Working with odds
  • Using algorithms, mental procedures, technology/tools, and other strategies
  • Determining appropriate units of measure
  • Determining the reasonableness of the answer and explaining thinking
Processes

  • Using calculators
  • Modeling
  • Accuracy
  • Working with sine law and cosine law
  • Working with enlargements and reductions, symmetry, order, and angles of rotation
  • Measures of central tendency: mean, median, mode
Fluency

  • Ways to present information/data
  • Precision
  • Tolerance
  • Working with squares, rhombuses, rectangles, parallelograms, trapezoids, kites, and circles
  • Working with interior and central angle measurements
  • Slope, rate of change
Communication

  • Explaining interpreted data
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GRADE 12

Strand: Number

Big Idea: Financial Applications

Skill Descriptor: Apply financial literacy to small business or personal employment considerations.

Global Competencies: CTPS, CM

Achievement Indicators:

  • Compare and contrast potential implications on personal financial management (considering different employment statuses) relating to Canadian Pension Plan (CPP), Employment Insurance (EI), and Income Tax
  • Create and/or review income tax returns given financial information and contexts
  • Compare and contrast financial management and employment considerations involving casual/full-time, contract, seasonal, rotational, varying hours of operation, etc. types of employment
  • Research types of insurance and their purposes
  • Discuss employment and self-employment financial management considerations (e.g., available health benefits)

Strand: Logical Reasoning

Big Idea: Numerical and Logical Reasoning

Skill Descriptor: Analyze puzzles and games that involve numerical and logical reasoning.

Global Competencies: CTPS, SASM

Achievement Indicators:

  • Reflect on ways to develop strategies to solve puzzles and games involving numerical and logical reasoning
  • Reflect on ways to verify strategies to solve puzzles and games involving numerical and logical reasoning
  • Create variations on puzzles and games involving numerical and logical reasoning, including rules and the way(s) to win or solution(s)

Strand: Shape and Space

Big Idea: Measurement

Skill Descriptor: Apply understanding of precision, accuracy, and tolerance to measurement contexts.

Global Competencies: CTPS, CM

Achievement Indicators:

  • Discuss differences between precision and accuracy using examples
  • Discuss varying degrees of precision that can be tolerated in post-secondary, work ready, and life contexts
  • Measure and compare accuracy of measurements using measurement instruments (different types of same instrument, and different instruments)
  • Analyze precision and accuracy within contextual problems
  • Apply given tolerances to determine acceptable ranges of values
  • Justify measurement decision-making relating to precision, accuracy, and tolerance

Big Idea: Geometry

Skill Descriptor: Apply properties of polygons and circles.

Global Competencies: CTPS

Achievement Indicators:

  • Identify naming prefixes for polygons
  • Identify and classify types of triangles (side length and angle measure)
  • Identify circle property vocabulary
  • Describe or represent properties of triangles, quadrilaterals, regular polygons, and circles
  • Determine angle measures of regular polygons
  • Apply properties of polygons and circles to solve contextual problems

Skill Descriptor: Apply the sine law and cosine law.

Global Competencies: CTPS

Achievement Indicators:

  • Apply the sine law or cosine law to diagrams
  • Apply the sine law or cosine law to solve problems

Skill Descriptor: Apply understanding of transformations to 2-D shapes.

Global Competencies: CTPS

Achievement Indicators:

  • Create and label the four quadrants of the Cartesian plane
  • Create images of 2-D shapes from given single or multiple shape transformations
  • Apply properties of similarity and proportion to enlarge or reduce images of 2-D shapes

Strand: Patterns and Relations

Big Idea: Algebra

Skill Descriptor: Apply understanding of linear relations to interpret data and solve contextual problems.

Global Competencies: CTPS

Achievement Indicators:

  • Manipulate equations between given general and slope-intercept forms
  • Record equations for given graphs, tables of values, and contexts
  • Create graphs for given tables of values
  • Create tables of values for given equations of linear relations
  • Create graphs for given linear equations in both general and slope-intercept forms
  • Extrapolate or interpolate from graphs to solve contextual problems
  • Apply equations to solve contextual problems involving linear relations

Strand: Statistics and Probability

Big Idea: Data Analysis

Skill Descriptor: Apply measures of central tendency to solve problems.

Global Competencies: CTPS, CM

Achievement Indicators:

  • Discuss central tendency and the three measures: mean, median, mode
  • Determine mean, median, and mode for sets of data
  • Identify possible outliers in sets of data
  • Explain the effect of outliers on the values of mean, median, and mode
  • Apply and/or justify appropriate measures of central tendency for sets of data or contexts
  • Explain how measures of central tendency and outliers are used to provide different interpretations of data using examples
  • Solve contextual problems that involve measures of central tendency

Big Idea: Chance and Uncertainty

Skill Descriptor: Analyze and interpret contexts involving probability and/or odds.

Global Competencies: CTPS, CM

Achievement Indicators:

  • Discuss differences between probability and odds
  • Discuss applications and contexts of probability and/or odds using examples
  • Calculate probabilities and/or odds of events
  • Determine odds for or against events given probabilities of events
  • Determine probabilities of events given odds for or against events
  • Express given probabilities as fractions, decimals, or percents
  • Identify and discuss theoretical, experimental, and subjective probability using examples
  • Compare theoretical probability and experimental probability by completing trials
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