NB Grade 12 Foundations of Mathematics 120

Video lessons and practice for every Foundations of Mathematics 120 topic. Aligned to what New Brunswick Grade 12 schools teach. Get help anytime.

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Curriculum Outcome - Elaborations

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NB.SCO.F120.S1

Demonstrate an understanding of normal distribution, including standard deviation and z-scores: Analyze normal distribution, calculate standard deviation and z-scores

NB.SCO.F120.S2

Interpret statistical data, using confidence intervals, confidence levels, margin of error: Use confidence intervals, levels, and margin of error to interpret statistical data

NB.SCO.F120.LR1

Analyze puzzles and games that involve numerical and logical reasoning, using problem-solving strategies: Apply problem-solving strategies to analyze numerical and logical puzzles and games

NB.SCO.F120.LR2

Solve problems that involve the application of set theory: Apply set theory concepts to solve problems

NB.SCO.F120.LR3

Solve problems that involve conditional statements: Use conditional statements to solve logical problems

NB.SCO.F120.P1

Interpret and assess the validity of odds and probability statements: Evaluate the validity of odds and probability statements

NB.SCO.F120.P2

Solve problems that involve the probability of mutually exclusive and non-mutually exclusive events: Calculate probabilities for mutually exclusive and non-mutually exclusive events

NB.SCO.F120.P3

Solve problems that involve the probability of two events: Determine probabilities involving two events

NB.SCO.F120.P4

Solve problems that involve the fundamental counting principle: Apply the fundamental counting principle to solve probability problems

NB.SCO.F120.P5

Solve problems that involve permutations: Use permutations to solve probability problems

NB.SCO.F120.P6

Solve problems that involve combinations: Apply combinations to solve probability problems

NB.SCO.F120.P7

Expand powers of a binomial using the binomial theorem: Use the binomial theorem to expand powers of binomials

Foundations of Mathematics 120 in New Brunswick

Foundations of Mathematics 120 is a Grade 12 course designed for New Brunswick students who plan to pursue post-secondary programs that require solid mathematical reasoning but not calculus. The course covers five major areas: statistics, logical reasoning, probability, counting methods, and functions. StudyPug provides video lessons and practice problems for every unit so students can learn at their own pace.

Statistics and Data Analysis

Students begin by exploring normal distribution, calculating standard deviation and z-scores, and interpreting data using confidence intervals and margin of error. These skills help students make sense of real-world data and draw valid conclusions from statistical information.

Logical Reasoning and Set Theory

This unit develops critical thinking skills. Students apply set theory to solve problems, use conditional statements to reason logically, and analyze numerical and logical puzzles using problem-solving strategies. These concepts sharpen reasoning skills used across many disciplines.

Probability

Students evaluate the validity of odds and probability statements, calculate probabilities for mutually exclusive and non-mutually exclusive events, and determine probabilities involving two events. This section builds a strong foundation for understanding chance and risk in everyday life.

Counting Methods

The counting unit introduces the fundamental counting principle, permutations, combinations, and the binomial theorem. These tools allow students to count possible outcomes efficiently and apply results to probability problems.

Functions

In the functions unit, students work with polynomial functions up to degree 3, exponential and logarithmic functions, and sinusoidal functions. Each type of function is used to model real-world data and solve applied problems, giving students practical experience with mathematical modelling.

  • Normal distribution and z-scores
  • Confidence intervals and margin of error
  • Set theory and conditional statements
  • Probability for mutually exclusive and combined events
  • Permutations, combinations, and the binomial theorem
  • Polynomial, exponential, logarithmic, and sinusoidal functions