Subject: Foundations of Math 30
Outcome: FM 30.1 – Demonstrate understanding of financial decision making including analysis of:
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renting, leasing, and buying
credit
compound interest
 investment portfolios.
Beginning – 1
Approaching – 2
Proficiency – 3
Mastery – 4
I need help.
I have a basic understanding.
My work consistently meets
expectations.
I have a deeper understanding.
With assistance I can begin to use the formula and
calculator app to find unknown values.
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I can use the Rule of 72.
I can do simple manipulation of the formula
to solve for the principal or future value.
I can solve parts of a simple portfolio.
I can calculate the total interest paid.
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I can use and explain the Rule of 72.
I can manipulate the formula to solve for the
unknown interest rate and the unknown
number of payments.
I can calculate the value of a simple portfolio.
I can calculate the total interest paid and use
it to determine the rate of return.
I can solve questions based on financial
problems involving renting, leasing, buying,
or credit (ie. Find total interest paid, total
cost of a loan, time to pay off loan, basic cost
and benefit analysis, etc.)
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I can analyze contextual problems to
demonstrate my understanding of financial
decisions to be made involving borrowing or
investing money.
I can analyze and solve a complex portfolio
using many multi-part steps.
I can solve a complex cost and benefit
analysis to determine whether to buy, rent,
or lease.
Indicators – please select and assess as appropriate to your unit, bold text indicates possible key indicators.
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Compare the advantages and disadvantages of simple interest and compound interest.
Identify and describe situations that involve compound interest.
Graph and compare the total interest paid or earned over different compounding periods for the same annual interest rate, principal, and time.
Develop, generalize, explain, and apply strategies for determining the total interest to be paid on a loan given the principal, interest rate, and number of compounding periods for
the loan.
Determine, using technology, the total cost of a loan under a variety of conditions (e.g., different amortization periods, interest rates, compounding periods, and terms).
Solve contextual problems that involve compound interest.
Analyze, using technology, different credit options that involve compound interest, including bank and store credit cards and special promotions, and provide justifications for the
credit option.
Identify and describe examples of assets that appreciate or depreciate relevant to one's self, family, and community.
Compare renting, leasing, and buying of large cost items and generate reasons for considering each choice.
Solve situational questions related to the costs of renting, leasing, and buying (including questions that require formula manipulation).
Solve, using technology, situational questions that involve cost-and-benefit analysis.
Analyze the strengths and weaknesses of two or more investment portfolios, and make recommendations for selection based upon this analysis.
Determine, using technology, the total value of an investment when there are regular contributions to the principal.
Graph and compare the total value of an investment with and without regular contributions.
Apply the Rule of 72 to solve investment problems and explain the limitations of the rule.
Investigate and report possible investment strategies that could be used to achieve a financial goal.
Compare the advantages and disadvantages of long-term and short-term investment options.
Investigate and compare small investments over a long term and larger investments over a shorter term.
Refer to the Saskatchewan Curriculum Guide FM30.1.
Subject: Foundations of Math 30
Outcome: FM 30.2 – Demonstrate understanding of inductive and deductive reasoning including:
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analysis of conditional statements
analysis of puzzles and games involving numerical and logical reasoning
making and justifying decisions
solving problems.
Beginning – 1
Approaching – 2
Proficiency – 3
Mastery – 4
I need help.
I have a basic understanding.
My work consistently meets
expectations.
I have a deeper understanding.
With assistance I can use a
predetermined strategy to solve a
puzzle or win a game.
With assistance I can begin to
determine the parts of a conditional
statement.
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I can understand a strategy used to
solve a puzzle or win a game.
I can create a variaton of a game
without developing a strategy to
win.
I can write a basic conditional
statement.
I can determine the hypothesis and
conclusion of a conditional
statement.
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I can develop strategies to solve a
puzzle or win a game.
I can create a variation of a game
including developing a strategy to
win.
I can write the converse, inverse,
and contrapositive of an “if-then”
statement.
I can determine whether the
statements are true or false and
provide counterexamples.
I can write a biconditional
statement.
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I can analyze, improve, and correct
strategies to solve puzzles or win
games.
I can use a predetermined strategy
to develop a variation of a game and
use analysis to improve the strategy
throughout completion.
Solve situational questions that
involve logical arguments.
I can analyze biconditional
statements to determine their
validity.
Indicators – please select and use as appropriate to your unit, bold text indicates possible key indicators.
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Develop, generalize, verify, explain, and apply strategies to solve a puzzle or win a game.
Identify and correct errors in a solution to a puzzle or in a strategy to win a game.
Create a variation on a puzzle or game and describe a strategy for solving the puzzle or winning the game.
Analyze an "if-then" statement, make a conclusion, and explain the reasoning.
Make and justify decisions related to "what-if?" questions, in contexts such as probability, finance, sports, games, or puzzles, with or without
technology.
 Write the converse, inverse, and contrapositive of an "if-then" statement, determine if each new statement is true, and if it is false, provide a
counterexample.
 Critique statements such as "If an 'if-then' statement is known to be true, then its converse, inverse, and contrapositive also will be true".
 Identify and describe situations relevant to one's self, family, and community in which a biconditional (if and only if ) statement can be made.
 Solve situational questions, using a graphic organizer such as a truth table or Venn diagram, that involve logical arguments based upon biconditional,
converse, inverse, or contrapositive statements.
Refer to the Saskatchewan Curriculum Guide FM30.2.
Subject: Foundations of Math 30
Outcome: FM 30.3 – Demonstrate understanding of set theory and its applications.
Beginning – 1
Approaching – 2
Proficiency – 3
Mastery – 4
I need help.
I have a basic understanding.
My work consistently meets
expectations.
I have a deeper understanding.
I can create a Venn Diagram from
two data sets and explain the
relationships within collected data
or sets of numbers.
I can create a Venn Diagram from
three data sets, analyze, and explain
the relationships within collected
data or sets of numbers.
I can develop and apply strategies
for determining the elements in the
complement, the intersection, or the
union of sets.
I can analyze situations to apply
additional strategies, including the
Principle of Inclusion and Exclusion,
to solve for unknown values within
the related Venn Diagram.
With assistance, I can determine
elements in different parts of the
sets using a Venn Diagram.
I can interpret a given Venn Diagram
to determine the elements in the
different parts of the sets.
I can determine and fix errors in
solutions to situation questions
involving set notation.
Indicators –
a.
Provide and describe examples, relevant to one's self, family, and community, of empty set, disjoint sets, subsets, and universal sets.
b.
Create graphic organizers such as Venn diagrams to display relationships within collected data or sets of numbers.
c.
Name a specific region in a Venn diagram using the Boolean operators (or, and, not) or set notation, and explain in words what that region represents with respect to a
specific situation.
d.
Develop, generalize, and apply strategies for determining the elements in the complement, the intersection, or the union of sets.
e.
Identify situations in which set theory is used and explain the role of set theory in each situation. (e.g., specific Internet searches, database queries, data analysis,
games, and puzzles)
f.
Solve situational questions that involve sets, including analysis of solutions for errors, using set notation where appropriate.
Subject: Foundations of Math 30
Outcome: FM 30.4 – Extend understanding of odds and probability.
Outcome: FM 30.5 – Extend understanding of the probability of two events, including events that are:
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Beginning – 1
I need help.
With assistance, I can calculate the
odds and probability given the
number of favorable outcomes and
the number of total events.
mutually exclusive
 non-mutually exclusive
 dependent
 independent.
Approaching – 2
Proficiency – 3
My work consistently meets
I have a basic understanding.
expectations.
I can calculate the odds and
probability of a situation given the
number of favorable outcomes.
I can calculate the probability of
specifed dependent events.
I can calculate the probability of
specified independent events.
I can solve contextual problems that
involve odds and probability where I
calculate the number of favorable
outcomes.
I can express odds as a probability
and probability as odds.
I can represent mutually exclusive
and non-mutually exclusive events
using graphic organizers.
I can distinguish between dependent
and independent events and
calculate the probability of the event
occurring.
Mastery – 4
I have a deeper understanding.
I can analyze and apply odds and
probability to real-life situations.
I can create and solve contextual
problems that include mutually
exclusive events or non-mutally
exclusive events.
Indicators – FM 30.4
a.
b.
c.
d.
e.
f.
g.
h.
Provide and explain the meaning of statements of probability and odds relevant to one's self, family, and community (e.g., statements of probability found in media, science, medicine,
sports, sociology, and psychology).
Explain, using examples, the relationship between odds (part-part) and probability (part-whole).
Express odds as a probability and vice versa.
Determine the probability of, or the odds for and against, an outcome in a situation.
Explain, using examples, how decisions may be based on probability or odds and on subjective judgments.
Solve contextual problems that involve odds and probability.
Identify, describe, and justify examples of correct and incorrect use of the words "odds" or "probability" in daily language or in the media.
Critique the statement, "If the odds are close, then the probability of the two outcomes also is close".
Indicators - FM 30.5
a.
b.
c.
d.
e.
f.
g.
h.
i.
Provide examples of events relevant to one's self, family, and community that are mutually exclusive or non-mutually exclusive and explain the reasoning.
Analyze two events to determine if they are complementary.
Represent, using set notation or graphic organizers, mutually exclusive (including complementary) and non-mutually exclusive events.
Create and solve contextual problems that involve the probability of mutually exclusive events.
Create and solve contextual problems that involve the probability of non-mutually exclusive events.
Provide examples of events relevant to one's self, family, and community that are dependent or independent and explain the reasoning.
Determine the probability of an event, given the occurrence of a previous event.
Determine the probability of two dependent or two independent events.
Solve situational questions that involve determining the probability of dependent and independent events.
Subject: Foundations of Math 30
Outcome: FM 30.6 – Demonstrate understanding of combinatorics including:
 the fundamental counting principle
 permutations (excluding circular permutations)
 combinations.
Beginning – 1
Approaching – 2
Proficiency – 3
Mastery – 4
I need help.
I have a basic understanding.
My work consistently meets
expectations.
I have a deeper understanding.
With assistance, I can evaluate
questions using appropriate
formulas.
I can evaluate and solve basic
factorial, combination, or
permutation questions when told
which type of question it is.
I can distinguish between
permutation, combination, and
fundamental counting principle
problems and use the appropriate
formulas and strategies to solve it.
I can manipulate equations to solve
for variables in equations involving
factorials.
Indicators –
a.
b.
c.
d.
e.
f.
g.
h.
i.
j.
Represent and solve counting problems using a graphic organizer.
Develop, generalize, explain, and apply the fundamental counting principle.
Identify and justify assumptions made in solving a counting problem.
Create and solve situational questions involving the fundamental counting principle.
Develop, generalize, explain, and apply strategies for determining the number of arrangements of n elements taken n at a time.
Explain, using examples, how factorials are related to the determination of permutations and combinations.
Determine, with or without technology, the value of a factorial.
Solve equations that involve factorials.
Develop, generalize, explain, and apply strategies for determining the number of permutations of n elements taken r at a time.
Develop, generalize, explain, and apply strategies for determining the number of permutations of n elements taken n at a time where some of the elements are
not distinguishable.
k. Solve situational questions involving probability and permutations.
l. Explain, using examples, why order is or is not important when counting arrangements.
m. Identify examples relevant to one's self, family, and community where the number of possible arrangements would be of interest to explain why the order within any
particular arrangement does or does not matter.
n. Develop, generalize, explain, and apply strategies for determining the number of combinations of n elements taken r at a time.
o. Critique statements such as "If a question about determining the number of possible arrangements gives the names of the people involved, then it is a permutation
question".
Refer to the Saskatchewan Curriculum Guide FM30.6.
Subject: Foundations of Math 30
Outcome: FM 30.7 – Demonstrate understanding of the representation and analysis of data using:
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polynomial functions of degree ≤ 3
logarithmic functions
exponential function
sinusoidal function.
Beginning – 1
Approaching – 2
Proficiency – 3
Mastery – 4
I need help.
I have a basic understanding.
My work consistently meets
expectations.
I have a deeper understanding.
With assistance I can select some of
the characteristics that match the
given equation and graph of a
function.
I can select the characteristics that
match the given equation and graph
of a function.
I can identify, analyze, and explain
the characteristics of the function
from their equations and their
graphs.
I can match equations to their
corresponding graphs.
I can interpret, solve, and explain
situational questions (usng
technology) by choosing the
function that best represents the
data.
I can graph and determine (with
technology) the function that best
approximates the data.
Indicators – please select and use as appropriate to unit, bold text indicates possible key indicators.
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Analyze the graphs of polynomial functions and report on the characteristics of those graphs.
Graph data and determine, with the use of technology, the polynomial function that best approximates the data.
Develop, generalize, explain, and apply strategies for determining the characteristics of polynomial functions from their equations.
Identify the degree and sign of the leading coefficient for a polynomial function that would best approximate a set of data.
Analyze the graphs of exponential and logarithmic functions and report on the characteristics of those graphs.
Graph data and determine, with the use of technology, the exponential or logarithmic function that best approximates the data.
Develop, generalize, explain, and apply strategies for determining the characteristics of exponential and logarithmic functions from their
equations.
Analyze the graphs of sinusoidal functions and report on the characteristics of those graphs.
Graph data and determine, with the use of technology, the sinusoidal function that best approximates the data.
Develop, generalize, explain, and apply strategies for determining the characteristics of sinusoidal functions from their equations.
Match equations of polynomial, logarithmic, exponential, and sinusoidal functions to their corresponding graphs.
Interpret graphs of polynomial, logarithmic, exponential, and sinusoidal functions to describe the situations that each function models and explain the
reasoning.
Solve, using technology, situational questions that involve data that is best represented by graphs of polynomial, exponential, logarithmic, or
sinusoidal functions and explain the reasoning.
Refer to the Saskatchewan Curriculum Guide FM30.7.
Subject: Foundations of Math 30
Outcome: FM 30.8 – Research and give a presentation of a current event or an area of interest
that requires data collection and analysis.
Beginning – 1
Approaching – 2
Proficiency – 3
Mastery – 4
I need help.
I have a basic understanding.
My work consistently meets
expectations.
I have a deeper understanding.
With assistance, I can interpet given
data.
I can interpret given data to share
findings and conclusions.
I can find data that supports two
different viewpoints on a topic.
I can assess the accuracy and
reliability of the data.
I can interpret the data to share
findings and conclusions in a
presentation.
Indicators –
a. Develop a rubric or other scoring schema to assess the research and presentation.
b. Collect primary or secondary data (quantitative or qualitative) related to the topic.
c. Assess the accuracy, reliability, and relevance of the collected primary or secondary data (quantitative/qualitative) by:
o
o
o
o
identifying examples of bias and points of view
identifying and describing the data collection methods
determining whether or not the data is relevant
determining whether or not the data is consistent with information obtained from other sources on the same topic.
d. Interpret data, using statistical methods if applicable.
e. Identify controversial issues and present multiple sides of the issue with supporting data.
f. Organize and create a presentation (oral, written, multimedia, etc.) of the research findings and conclusions.
Refer to the Saskatchewan Curriculum Guide FM30.8.
I can use proper data collection
methods to prepare data for the
presentation.