Gizmos for Nova Scotia - Mathematics: 11th Grade (Mathematics Curriculum adopted 2022)

This correlation lists the recommended Gizmos for this province's curriculum standards. Click any Gizmo title below for more information.

G: : Geometry

G02: : Students will be expected to solve problems that involve the properties of angles and triangles.

G02.01: : Determine the measures of angles in a diagram that involves parallel lines, angles, and triangles and justify the reasoning.

G02.04: : Construct parallel lines, using only a compass and straight edge or a protractor and straight edge, and explain the strategy used.

LR: : Logical Reasoning

LR01: : Students will be expected to analyze and prove conjectures, using inductive and deductive reasoning, to solve problems.

LR01.04: : Provide and explain a counterexample to disprove a given conjecture.

S: : Statistics

S01: : Students will be expected to demonstrate an understanding of normal distribution, including standard deviation and z-scores.

S01.01: : Explain, using examples, the meaning of standard deviation.

S02.02: : Calculate, using technology, the population standard deviation of a data set.

S02.03: : Explain, using examples, the properties of a normal curve, including the mean, median, mode, standard deviation, symmetry, and area under the curve.

S02.04: : Determine if a data set approximates a normal distribution and explain the reasoning.

S02.05: : Compare the properties of two or more normally distributed data sets.

S02.07: : Solve a contextual problem that involves the interpretation of standard deviation.

S02.09: : Solve a contextual problem that involves normal distribution.

S02: : Students will be expected to interpret statistical data, using confidence intervals, confidence levels, and margin of error.

S02.01: : Explain, using examples, how confidence levels, margin of error, and confidence intervals may vary depending on the size of the random sample.

S02.02: : Explain, using examples, the significance of a confidence interval, margin of error, or confidence level.

RF: : Relations and Functions

RF01: : Students will be expected to model and solve problems that involve systems of linear inequalities in two variables.

RF01.01: : Model a problem using a system of linear inequalities in two variables.

RF01.02: : Graph the boundary line between two half planes for each inequality in a system of linear inequalities, and justify the choice of solid or broken lines.

RF01.03: : Determine and explain the solution region that satisfies a linear inequality, using a test point when given a boundary line.

RF01.04: : Determine, graphically, the solution region for a system of linear inequalities, and verify the solution.

RF01.05: : Explain, using examples, the significance of the shaded region in the graphical solution of a system of linear inequalities.

RF01.06: : Solve an optimization problem using linear programming.

RF02: : Students will be expected to demonstrate an understanding of the characteristics of quadratic functions, including vertex, intercepts, domain and range, and axis of symmetry.

RF02.01: : Determine, with or without technology, the intercepts of the graph of a quadratic function.

RF02.02: : Determine, by factoring, the roots of a quadratic equation, and verify by substitution.

RF02.03: : Determine, using the quadratic formula, the roots of a quadratic equation.

RF02.04: : Explain the relationships among the roots of an equation, the zeros of the corresponding function, and the x-intercepts of the graph of the function.

RF02.05: : Explain, using examples, why the graph of a quadratic function may have zero, one, or two x-intercepts.

RF02.06: : Express a quadratic equation in factored form, using the zeros of a corresponding function or the x-intercepts of its graph.

RF02.07: : Determine, with or without technology, the coordinates of the vertex of the graph of a quadratic function.

RF02.08: : Determine the equation of the axis of symmetry of the graph of a quadratic function, given x-intercepts of the graph.

RF02.09: : Determine the coordinates of the vertex of the graph of a quadratic function, given the equation of the function and the axis of symmetry, and determine if the y-coordinate of the vertex is a maximum or a minimum.