Gizmos for Saskatchewan - Mathematics: 12th Grade--Math B (Saskatchewan Foundational and Learning Objective adopted 1996)

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

A: : Probability

A.1: : To define the principle of inclusion and exclusion when working with two or more sets and/or events.

A.3: : To determine the probability of two or more independent events.

A.4: : To determine the probability of dependent events (conditional probabilities).

A.5: : To set up, analyze, estimate, and solve word problems based on objectives 1-4.

A.6: : To determine the coefficients of terms in a binomial expansion using the Binomial Theorem. (Pascal's Triangle or combinations could be used to introduce this topic.)

A.8: : To solve word problems associated with Objectives 6 and 7.

B: : Data Analysis

B.1: : To describe and illustrate normal and skewed distributions using real-world examples.

B.2: : To calculate the standard deviation of a set of data.

B.3: : To utilize the standard deviation to interpret data represented by a normal distribution.

C: : Matrices

C.3: : To add and subtract matrices.

C.6: : To determine the properties of matrices with respect to addition, scalar multiplication, and multiplication.

C.10: : To graph systems of inequalities.

C.11: : To determine the points of intersection of lines drawn in objective C.10.

D: : Complex Numbers

D.1: : To define and illustrate complex numbers.

D.2: : To express complex numbers in the form a+bi.

D.3: : To add and subtract complex numbers.

D.4: : To multiply and divide complex numbers.

D.5: : To divide complex numbers using conjugates.

E: : Quadratic Equations

E.1: : To solve quadratic equations using the quadratic formula.

E.2: : To solve quadratic equations having complex roots.

E.3: : To solve word problems involving real-world applications of quadratic equations.

E.4: : To determine the nature of the roots of a quadratic equation using the discriminant.

E.5: : To determine that the sum of the roots of a quadratic equation ax² + bx + c = 0 equals (-b/a), and the product of the roots equals (c/a).

E.6: : To write a quadratic equation, given the roots.

E.8: : To solve quadratic inequalities.

F: : Polynomial and Rational Functions

F.1: : To define and illustrate polynomial and rational functions.

F.3: : To analyze the characteristics of the graphs of polynomial and rational functions and to identify the 'zeros' of these graphs.

F.4: : To define, determine, and sketch the inverse of a function, where it exists.

G: : Exponential and Logarithmic Functions

G.1: : To define exponential functions and logarithmic functions.

G.2: : To use correctly the laws of exponents for integral and rational exponents.

G.4: : To construct graphs of exponential functions and logarithmic functions, to identify the properties of these graphs, and to recognize they are inverses of each other.

G.5: : To sketch graphs of exponential and logarithmic functions by selecting an appropriate point for the new origin.

G.6: : To solve exponential and logarithmic equations.

G.8: : To identify a geometric sequence.

G.9: : To determine the nth term of a geometric sequence.

G.10: : To calculate the required number of geometric means between given terms.

G.12: : To define and illustrate the following terms: geometric sequence, compound interest, present value, annuity, geometric means.

G.15: : To solve word problems containing arithmetic or geometric series.

Correlation last revised: 9/16/2020

Saskatchewan - Mathematics: 12th Grade--Math B

Saskatchewan Foundational and Learning Objective | Adopted: 1996