New Brunswick

12.M Measurement

• Develop spatial sense through direct and indirect measurement

  • 12.M1 Demonstrate an understanding of the limitations of measuring instruments, including precision, accuracy, uncertainty, tolerance, and solve problems.

12.G Geometry

• Develop spatial sense

  • 12.G1 Solve problems that involve triangles, quadrilaterals, regular polygons.

    • Interior angles of polygons (11-R.2)
    • Classify quadrilaterals (11-R.11)
    • Properties of parallelograms (11-R.12)
    • Classify triangles (11-U.1)
    • Triangle Angle-Sum Theorem (11-U.2)
    • Midsegments of triangles (11-U.3)
    • Triangles and bisectors (11-U.4)
    • Angle-side relationships in triangles (11-U.6)
    • Triangle Inequality Theorem (11-U.7)

  • 12.G2 Solve problems by using the sine law and cosine law, excluding the ambiguous case.

    • Law of Sines (12-N.13)
    • Law of Cosines (12-N.14)
    • Solve a triangle (12-N.15)

  • 12.G3 Demonstrate an understanding of transformations o a 2-D shape or a 3-D object, including translations, rotations, reflections, dilations.

    • Translations: graph the image (10-FF.1)
    • Translations: find the coordinates (10-FF.2)
    • Translations: write the rule (10-FF.3)
    • Reflections: graph the image (10-FF.4)
    • Reflections: find the coordinates (10-FF.5)
    • Rotations: graph the image (10-FF.7)
    • Rotations: find the coordinates (10-FF.8)
    • Classify congruence transformations (10-FF.9)
    • Compositions of congruence transformations: graph the image (10-FF.10)
    • Congruence transformations: mixed review (10-FF.12)
    • Dilations: graph the image (10-FF.13)
    • Dilations: find the coordinates (10-FF.14)
    • Dilations: scale factor and classification (10-FF.15)

12.N Number

• Develop number sense and critical thinking skills

  • 12.N1 Analyze puzzles and games that involve logical reasoning, using problem-solving strategies.

  • 12.N2 Critique the viability of small business options by considering expenses, sales, profit or loss.

12.A Algebra

• Develop algebraic reasoning

  • 12.A1 Demonstrate an understanding of linear relations by recognizing patterns and trends, graphing, creating tables of values, writing equations, interpolating and extrapolating, solving problems.

    • Find the slope of a linear function (12-A.3)
    • Graph a linear function (12-A.4)
    • Write the equation of a linear function (12-A.5)

12.S Statistics

• Develop statistical reasoning

  • 12.S1 Solve problems that involve measures of central tendency, including mean, median, mode, weighted mean, trimmed mean.

    • Identify an outlier (12-AA.3)
    • Identify an outlier and describe the effect of removing it (12-AA.4)

  • 12.S2 Analyze and describe percentiles.

12.P Probability

• Develop critical thinking skills related to uncertainty

  • 12.P1 Analyze and interpret problems that involve probability.

    • Introduction to probability (12-Y.1)
    • Calculate probabilities of events (12-Y.2)
    • Find probabilities using two-way frequency tables (12-Y.5)

12.RP Mathematical Research Project

• Develop an appreciation of the role of mathematics in society

  • 12.RP1 Research and give a presentation on a historical event or an area of interest that involves mathematics.