Gizmos for Nova Scotia - Mathematics: 10th 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.

M: : Measurement

M01: : Students will be expected to solve problems that involve linear measurement, using SI and imperial units of measure, estimation strategies, and measurement strategies.

M01.05: : Solve problems that involve linear measure, using instruments such as rulers, calipers, or tape measures.

M02: : Students will be expected to apply proportional reasoning to problems that involve conversions between SI and imperial units of measure.

M02.02: : Solve a problem that involves the conversion of units within or between SI and imperial systems.

M02.03: : Verify, using unit analysis, a conversion within or between SI and imperial systems, and explain the conversion.

M03: : Students will be expected to solve problems, using SI and imperial units, that involve the surface area and volume of 3-D objects, including right cones, right cylinders, right prisms, right pyramids, and spheres.

M03.02: : Determine the surface area of a right cone, right cylinder, right prism, right pyramid, or sphere, using an object or its labelled diagram.

M03.03: : Determine the volume of a right cone, right cylinder, right prism, right pyramid, or sphere, using an object or its labelled diagram.

M03.04: : Determine an unknown dimension of a right cone, right cylinder, right prism, right pyramid, or sphere, given the object’s surface area or volume and the remaining dimensions.

M03.06: : Describe the relationship between the volumes of right cones and right cylinders with the same base and height, and right pyramids and right prisms with the same base and height.

M04: : Students will be expected to develop and apply the primary trigonometric ratios (sine, cosine, tangent) to solve problems that involve right triangles.

M04.01: : Explain the relationships between similar right triangles and the definitions of the primary trigonometric ratios.

M04.02: : Identify the hypotenuse of a right triangle and the opposite and adjacent sides for a given acute angle in the triangle.

M04.03: : Solve right triangles, with or without technology.

M04.04: : Solve a problem that involves one or more right triangles by applying the primary trigonometric ratios or the Pythagorean theorem.

M04.05: : Solve a problem that involves indirect and direct measurement, using the trigonometric ratios, the Pythagorean theorem, and measurement instruments such as a clinometer or metre stick.

AN: : Algebra and Number

AN02: : Students will be expected to demonstrate an understanding of irrational numbers by representing, identifying, simplifying, and ordering irrational numbers. (Focus on simplifying radicals.)

AN02.02: : Determine an approximate value of a given irrational number.

AN02.05: : Express a radical as a mixed radical in simplest form (limited to numerical radicands).

AN03: : Students will be expected to demonstrate an understanding of powers with integral and rational exponents.

AN03.01: : Explain, using patterns, why a^-n = 1/a^n, a not equal to 0.

AN03.03: : Apply the following exponent laws to expressions with rational and variable bases and integral and rational exponents, and explain the reasoning. (a^m)(a^n) = a^(m + n); a^m/a^n = a^(m - n), a not equal to 0; (a^m)^n = a^(mn); (ab)^m = (a^m)(b^m); (a/b)^n = (a^n)/(b^n), b not equal to 0.

AN03.06: : Identify and correct errors in a simplification of an expression that involves powers.

AN04: : Students will be expected to demonstrate an understanding of the multiplication of polynomial expressions (limited to monomials, binomials, and trinomials), concretely, pictorially, and symbolically.

AN04.02: : Relate the multiplication of two binomial expressions to an area model.

AN04.05: : Multiply two polynomials symbolically, and combine like terms in the product.

AN05: : Students will be expected to demonstrate an understanding of common factors and trinomial factoring, concretely, pictorially, and symbolically.

AN05.02: : Model the factoring of a trinomial, concretely or pictorially, and record the process symbolically.

AN05.03: : Factor a polynomial that is a difference of squares, and explain why it is a special case of trinomial factoring where b = 0.

AN05.04: : Identify and explain errors in a polynomial factorization.

AN05.05: : Factor a polynomial, and verify by multiplying the factors.

AN05.06: : Explain, using examples, the relationship between multiplication and factoring of polynomials.

AN05.07: : Generalize and explain strategies used to factor a trinomial.

AN05.08: : Express a polynomial as a product of its factors.

RF: : Relations and Functions

RF01: : Students will be expected to interpret and explain the relationships among data, graphs, and situations.

RF01.04: : Sketch a possible graph for a given situation.

RF01.05: : Determine, and express in a variety of ways, the domain and range of a graph, a set of ordered pairs, or a table of values.

RF02: : Students will be expected to demonstrate an understanding of relations and functions.

RF02.02: : Determine if a set of ordered pairs represents a function.

RF02.04: : Generalize and explain rules for determining whether graphs and sets of ordered pairs represent functions.

RF03: : Students will be expected to demonstrate an understanding of slope with respect to rise and run, line segments and lines, rate of change, parallel lines, and perpendicular lines.

RF03.01: : Determine the slope of a line segment by measuring or calculating the rise and run.

RF03.02: : Classify lines in a given set as having positive or negative slopes.

RF03.03: : Explain the meaning of the slope of a horizontal or vertical line.

RF03.04: : Explain why the slope of a line can be determined by using any two points on that line.

RF03.05: : Explain, using examples, slope as a rate of change.

RF03.06: : Draw a line, given its slope and a point on the line.

RF03.07: : Determine another point on a line, given the slope and a point on the line.

RF03.09: : Solve a contextual problem involving slope.

RF04: : Students will be expected to describe and represent linear relations, using words, ordered pairs, tables of values, graphs, and equations.

RF04.03: : Determine whether a graph represents a linear relation, and explain why or why not.

RF04.04: : Determine whether a table of values or a set of ordered pairs represents a linear relation, and explain why or why not.

RF05: : Students will be expected to determine the characteristics of the graphs of linear relations, including the intercepts, slope, domain, and range.

RF05.01: : Determine the intercepts of the graph of a linear relation, and state the intercepts as values or ordered pairs.

RF05.02: : Determine the slope of the graph of a linear relation.

RF05.06: : Identify the slope and y-intercept that correspond to a given graph.

RF05.07: : Solve a contextual problem that involves intercepts, slope, domain, or range of a linear relation.

RF06: : Students will be expected to relate linear relations to their graphs, expressed in slope-intercept form (y = mx + b), general form (Ax + By + C = 0), or slope-point form (y – y1) = m(x – x1).

RF06.01: : Express a linear relation in different forms, and compare the graphs.

RF06.02: : Rewrite a linear relation in either slope-intercept or general form.

RF06.03: : Generalize and explain strategies for graphing a linear relation in slope-intercept, general, or slope-point form.

RF06.04: : Graph, with and without technology, a linear relation given in slope-intercept, general, or slope-point form, and explain the strategy used to create the graph.

RF07: : Students will be expected to determine the equation of a linear relation to solve problems, given a graph, a point and the slope, two points, and a point and the equation of a parallel or perpendicular line.

RF07.01: : Determine the slope and y-intercept of a given linear relation from its graph, and write the equation in the form y = mx + b.

RF07.02: : Write the equation of a linear relation, given its slope and the coordinates of a point on the line, and explain the reasoning.

RF07.03: : Write the equation of a linear relation, given the coordinates of two points on the line, and explain the reasoning.

RF07.05: : Graph linear data generated from a context, and write the equation of the resulting line.

RF07.06: : Determine the equation of the line of best fit from a scatterplot using technology and determine the correlation.

RF07.07: : Solve a problem, using the equation of a linear relation.

RF10: : Students will be expected to solve problems that involve systems of linear equations in two variables, graphically and algebraically.

RF10.01: : Model a situation, using a system of linear equations.

RF10.02: : Relate a system of linear equations to the context of a problem.

RF10.03: : Determine and verify the solution of a system of linear equations graphically, with and without technology.

RF10.04: : Explain the meaning of the point of intersection of a system of linear equations

RF10.05: : Determine and verify the solution of a system of linear equations algebraically.

RF10.06: : Explain, using examples, why a system of equations may have no solution, one solution, or an infinite number of solutions.

RF10.07: : Explain a strategy to solve a system of linear equations.

RF10.08: : Solve a problem that involves a system of linear equations.

FM: : Financial Matters

FM01: : Students will be expected to solve problems that involve unit pricing and currency exchange, using proportional reasoning.

FM01.04: : Determine the percent increase or decrease for a given original and new price.

Correlation last revised: 3/27/2023

Nova Scotia - Mathematics: 10th Grade

Mathematics Curriculum | Adopted: 2022

M: : Measurement

AN: : Algebra and Number

RF: : Relations and Functions

FM: : Financial Matters