Gizmos for Saskatchewan - Mathematics: 10th Grade (Saskatchewan Foundational and Learning Objective adopted 1995)

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

A: : Linear Equations and Inequalities

A.1: : To solve linear equations in one variable containing:

A.1.a: : variables on both sides

A.1.c: : fraction or decimal coefficients

A.2: : To solve a formula for an indicated variable.

A.3: : To solve, graph, and verify linear inequalities of one variable.

A.4: : To translate English phrases into mathematical terms and vice-versa.

B: : Relations, Linear Functions, and Variation

B.1: : To define the following terms: relation, ordered pair, abscissa, ordinate.

B.3, B.4: : To graph ordered pairs in the Cartesian coordinate plane, and to graph real-world relations in the Cartesian coordinate plane.

B.1.b: : To define the following terms: function, linear function, slope, x-intercept, y-intercept, ration, proportion, direct variation, partial variation.

B.6: : To identify, graph, and interpret examples of linear functions describing real-world situations.

B.7: : To graph a linear function using a table of values.

B.8: : To determine if a relation is a function by employing the vertical line test.

B.10: : To determine if an ordered pair is a solution to the linear equation.

B.11: : To calculate the slope of a line:

B.11.a: : graphically (m = rise/run)

B.11.b: : algebraically

B.11.c: : from the equation (y = mx+ b)

B.12: : To determine the slope of horizontal, vertical, parallel, and perpendicular lines.

B.12.b: : To write linear equations in:

B.12.b.a: : slope-intercept form

B.12.b.b: : standard form

B.13 & B.14.a: : x and y intercepts

B.13 & B.14.b: : the slope and an ordered pair

B.13 & B.14.c: : the slope and y-intercept (y = mx + b)

B.15, B.16: : To write the equation of a line when given:

B.15, B.16.a: : slope and y-intercept

B.15, B.16.b: : slope and one point on the line

B.15, B.16.c: : the graph of the line

B.15, B.16.d: : two points on the line

B.17: : To construct scatterplots from real-world data.

B.18: : To interpret and critically analyze these scatterplots.

B.19: : To identify, describe, and interpret examples of direct variation in real-world situations.

B.20: : To solve proportions involving direct variation.

B.21: : To solve problems involving direct variation.

B.22: : To identify partial variation.

B.23: : To solve problems involving partial variation.

B.24: : To define, illustrate, and identify an arithmetic sequence.

B.25: : To determine the nth term of an arithmetic sequence.

D: : Lines and Line Segments

D.1: : To define line segment, ray, line, bisector, median, perpendicular line, perpendicular bisector, transversal, alternate interior angles, corresponding angles, same-side interior angles.

D.2: : To identify and calculate the measures of corresponding angles, alternate interior angles, and same-side interior angles formed by parallel lines.

D.4, D.5, D.6, D.7: : Informally and formally construct:

D.4, D.5, D.6, D.7.a: : congruent segments;

D.4, D.5, D.6, D.7.b: : the perpendicular bisector of a line segment;

D.4, D.5, D.6, D.7.c: : a line perpendicular to a given line from a point not on the line;

D.4, D.5, D.6, D.7.d: : a line perpendicular to a given line from a point on the line; and,

D.4, D.5, D.6, D.7.e: : a line parallel to a given line through a point not on the line.

E: : Angles and Polygons

E.1: : To define and illustrate by drawing the following: acute angle, right angle, obtuse angle, straight angle, reflex angle, complementary angles, supplementary angles, adjacent angles, vertically opposite angles, congruent angles, central angles of a regular polygon.

E.3.a: : To define and illustrate the following polygons: convex, non-convex, regular, triangle, quadrilateral, parallelogram, rectangle, rhombus, square, trapezoid, isosceles trapezoid.

E.3.b: : To define and illustrate the following triangles: scalene, isosceles, equilateral, acute, right, obtuse.

E.4: : To classify quadrilaterals as trapezoids, isosceles trapezoids, parallelogram, rectangles, rhombuses, and squares.

E.6: : To state and apply the properties of parallelograms:

E.6.a: : opposite sides are parallel

E.6.b: : opposite sides are congruent

E.6.c: : opposite angles are congruent

E.6.d: : the diagonals bisect each other.

E.9: : To determine the measures of the interior and exterior angles of regular n-gons.

E.10: : To determine the number of diagonals in a polygon of n sides.

E.13: : To determine if a triangle is a right triangle by using the converse of the Pythagorean Theorem.

E.14: : To determine the value of the three primary trigonometric ratios by using a calculator.

E.15: : To determine the measure of an angle given the value of one trigonometric ratio of the angle using a calculator.

E.16: : To calculate the measure of an angle or the length of a side of a right triangle using the tangent, sine, and cosine ratios.

E.17: : To solve problems that involve trigonometric ratios, using a calculator.

F: : Review of Algebraic Skills

F.2.d: : To write numbers in scientific notation and vice versa.

F.3.a: : To add and subtract polynomials.

F.3.b: : To multiply: a monomial by a monomial

F.3.d: : To multiply: a binomial by a binomial

F.3.e: : To divide: a monomial divisor

F.3.f: : To divide: a polynomial by a monomial

Correlation last revised: 9/16/2020

Saskatchewan - Mathematics: 10th Grade

Saskatchewan Foundational and Learning Objective | Adopted: 1995

A: : Linear Equations and Inequalities

B: : Relations, Linear Functions, and Variation

D: : Lines and Line Segments

E: : Angles and Polygons

F: : Review of Algebraic Skills