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

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

M: : Measurement

M02: : Solve problems that involve scale diagrams, using proportional reasoning.

M02.01: : Explain, using examples, how scale diagrams are used to model a 2-D shape or a 3-D object.

M02.02: : Determine, using proportional reasoning, the scale factor, given one dimension of a 2-D shape or a 3-D object and its representation.

M02.03: : Determine, using proportional reasoning, an unknown dimension of a 2-D shape or a 3-D object, given a scale diagram or a model.

M02.04: : Draw, with or without technology, a scale diagram of a given 2-D shape according to a specified scale factor (enlargement or reduction).

M02.05: : Solve a contextual problem that involves scale diagrams.

M03: : Demonstrate an understanding of the relationships among scale factors, areas, surface areas and volumes of similar 2-D shapes and 3-D objects.

M03.01: : Determine the area of a 2-D shape, given the scale diagram, and justify the reasonableness of the result.

M03.03: : Explain, using examples, the effect of a change in the scale factor on the area of a 2-D shape.

M03.06: : Explain, using examples, the relationships among scale factor, area of a 2-D shape, surface area of a 3-D object, and volume of a 3-D object.

M03.08: : Solve a contextual problem that involves the relationships among scale factors, areas, and volumes.

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.

LR: : Logical Reasonng

LR01: : Analyze and prove conjectures, using inductive and deductive reasoning, to solve problems.

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

RF: : Relations and Functions

RF01: : 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: : 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 yu0002coordinate of the vertex is a maximum or a minimum.

RF02.11: : Sketch the graph of a quadratic function.

RF02.12: : Solve a contextual problem that involves the characteristics of a quadratic function.

S: : Statistics

S01: : Analyze, interpret, and draw conclusions from one-variable data using numerical and graphical summaries.

S01.01: : Analyze, interpret, and draw conclusions from one-variable data using numerical and graphical summaries.

S01.02: : Determine, using technology, the relevant numerical summaries.

S01.03: : Generate, using technology, the relevant graphical summaries of one-variable data based on the type of data provided.

S01.04: : Interpret statistical summaries to describe the characteristics of a one-variable data set and to compare two or more related one-variable data sets.

S01.05: : Make inferences, and make and justify conclusions, from statistical summaries of one-variable data orally and in writing, using convincing arguments.

S02: : Demonstrate an understanding of normal distribution, including standard deviation or z-scores.

S02.01: : 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.

S03: : Interpret statistical data, using confidence intervals, confidence levels, or margin of error

S03.01: : Explain, using examples, how confidence levels, margin of error, and confidence intervals may vary depending on the size of the random sample.

S03.02: : Explain, using examples, the significance of a confidence interval, margin of error, or confidence level.

D: : Data

D01: : Analyse, interpret, and draw conclusions from two-variable data using numerical, graphical, and algebraic summaries.

D01.01: : Recognize that the analysis of two-variable data involves the relationship between two attributes.

D01.03: : Generate scatter plots of two-variable data, by hand and using technology.

D01.04: : Determine, by performing a linear regression using technology, the equation of a line that models a suitable two-variable data set.

D01.05: : Determine, using technology, the correlation coefficient, and recognize it as a measure of the fit of the data to a linear model.

D01.06: : Determine the fit of an individual data point to the linear model by determining its residual, and recognize how a residual plot can be used to determine if a linear equation is a good model for a two-variable data set.

D01.07: : Make inferences, and make and justify conclusions, from statistical summaries of two-variable data orally and in writing, using convincing arguments.

Correlation last revised: 3/28/2023

Nova Scotia - Mathematics: 11th Grade Extended Math

Mathematics Curriculum | Adopted: 2022