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Skills available for Saskatchewan grade 12 math curriculum

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12.WA30.1 Analyze puzzles and games that involve logical reasoning using problem-solving strategies.

  • 12.WA30.1.a Determine, explain, and verify strategies to solve a puzzle or to win a game such as:

    • 12.WA30.1.a.1 guess and check

    • 12.WA30.1.a.2 look for a pattern

    • 12.WA30.1.a.3 make a systematic list

    • 12.WA30.1.a.4 draw or model

    • 12.WA30.1.a.5 eliminate possibilities

    • 12.WA30.1.a.6 formulate and simplify a problem that is similar to the original problem

    • 12.WA30.1.a.7 work backwards

    • 12.WA30.1.a.8 develop alternative approaches.

  • 12.WA30.1.b Observe and analyze errors in solutions to puzzles or in strategies for winning games, and explain the reasoning.

  • 12.WA30.1.c Create a variation on a puzzle or a game, and describe a strategy for solving the altered puzzle or winning the game.

12.WA30.2 Demonstrate concretely, pictorially, and symbolically an understanding of limitations of measuring instruments including:

  • 12.WA30.2.1 precision

  • 12.WA30.2.2 accuracy

  • 12.WA30.2.3 uncertainty

  • 12.WA30.2.4 tolerance.

  • 12.WA30.2.a Explain, using concrete models and pictorial representations, the difference between precision and accuracy.

  • 12.WA30.2.b Analyze given contexts to generalize and explain why:

    • 12.WA30.2.b.1 a certain degree of precision is required

    • 12.WA30.2.b.2 a certain degree of accuracy is required.

  • 12.WA30.2.c Compare the degree of accuracy of two or more given instruments used to measure the same attribute.

  • 12.WA30.2.d Relate the degree (margin) of accuracy to the uncertainty of a given measure.

  • 12.WA30.2.e Analyze and justify the degree of precision and accuracy required in contextual problems.

  • 12.WA30.2.f Analyze given contexts to calculate maximum and minimum values, using a given degree (range) of tolerance.

  • 12.WA30.2.g Compare and describe, using examples, the limitations of measuring instruments used in a specific trade or industry, (e.g., tape measure versus Vernier caliper).

  • 12.WA30.2.h Create and solve situational questions that involve precision, accuracy, or tolerance, and explain the reasoning and the strategy used to arrive at the solution.

12.WA30.3 Solve problems that involve the sine law and cosine law, excluding the ambiguous case.

12.WA30.4 Extend and apply understanding of the properties of triangles, quadrilaterals, and regular polygons to solve problems.

  • 12.WA30.4.a Analyze, generalize, and explain properties of polygons using illustrations, including:

  • 12.WA30.4.b Explain, using examples, why a given property does or does not apply to certain polygons (e.g., the diagonals of a square are perpendicular, but the diagonals of a rectangle are not even though squares are rectangles).

  • 12.WA30.4.c Identify and explain applications of the properties of polygons in construction, industry, commerce, domestic, and artistic contexts.

  • 12.WA30.4.d Create and solve situational questions that involve the application of the properties of polygons.

12.WA30.5 Extend and apply understanding of transformations on 2-D shapes and 3-D objects including:

12.WA30.6 Demonstrate understanding of options for acquiring a vehicle including:

  • 12.WA30.6.1 purchasing without credit

  • 12.WA30.6.2 purchasing with credit

  • 12.WA30.6.3 leasing

  • 12.WA30.6.4 leasing to purchase.

  • 12.WA30.6.a Research and present various options for purchasing or leasing a vehicle (oral, written, multimedia, etc.).

  • 12.WA30.6.b Justify a decision related to buying, leasing, or leasing to buy a vehicle, based on factors such as personal finances, intended use, maintenance, warranties, mileage, and insurance.

  • 12.WA30.6.c Solve, with or without technology, situational questions that involve the purchase, lease, or lease to purchase of a vehicle.

12.WA30.7 Explore and critique the viability of small business options with respect to:

  • 12.WA30.7.1 expenses

  • 12.WA30.7.2 sales

  • 12.WA30.7.3 profit or loss.

  • 12.WA30.7.a Analyze small businesses such as a hot dog stand to identify and describe expenses, and explain factors, such as seasonal variations and hours of operation that might impact their profitability.

  • 12.WA30.7.b Research and describe feasible small business options for a given community.

  • 12.WA30.7.c Analyze a small business to generate options that might improve its profitability, and report to an audience.

  • 12.WA30.7.d Determine the break-even point for small businesses and explain the reasoning.

12.WA30.8 Extend and apply understanding of linear relations including:

12.WA30.9 Extend and apply understanding of measures of central tendency to solve problems including:

12.WA30.10 Demonstrate understanding of percentiles.

  • 12.WA30.10.a Explain, using examples, percentile ranks in a context.

  • 12.WA30.10.b Explain how and why decisions can be made based on percentile rank.

  • 12.WA30.10.c Compare, using examples, percent and percentile rank.

  • 12.WA30.10.d Analyze and generalize the relationship between median and percentile.

  • 12.WA30.10.e Solve situational questions that involve percentiles and percentile charts.

  • 12.WA30.10.f Critique statements such as "Predictions based on percentile ranks are always 100% accurate."

12.WA30.11 Extend and apply understanding of probability.