Foundations of Mathematics 11. solve problems that involve the application of rates

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1 Measurement using SI and imperial units, solve problems that involve linear measurement apply proportional reasoning to problems that involve conversions between SI and imperial units of measure solve problems, using SI and imperial units, that involve the surface area and volume of 3-D objects develop and apply the primary trigonometric ratios (sine, cosine and tangent) to solve problems that involve right triangles involve the application of rates involve scale diagrams, using proportional reasoning the relationships among scale factors, areas, surface areas and volumes of similar 2-D and 3-d objects

2 Relations and Functions interpret and explain the relationships among data, graphs and situations d relations and functions slope describe and represent linear relations determine the characteristics of the graphs of linear relations relate linear relations to their graphs determine equations of linear relations represent a linear function, using function notation involve systems of linear equations in two variables, graphically and algebraically model and solve problems that involve systems of linear inequalities in two variables the characteristics of quadratic functions represent data, using polynomial functions (of degree 3) to solve problems represent data, using exponential and logarithmic functions, to solve problems represent data, using sinusoidal functions, to solve problems

3 Algebra and Number factors of whole numbers irrational numbers powers with integral and rational exponents the multiplication of polynomial expressions (limited to monomials, binomials and trinomials) concretely, pictorially and symbolically common factors and trinomial factoring concretely, pictorially and symbolically

4 Geometry Logical Reasoning derive proofs that involve the properties of angles and triangles involve the properties of angles and triangles solve problems involving cosine and sine law, including the ambiguous case analyze and prove conjectures, using inductive and deductive reasoning, to solve problems analyze puzzles and games that involve spatial reasoning, using problem-solving strategies analyze puzzles and games that involve numerical and logical reasoning, using problem-solving strategies involve the application of set theory involve conditional statements

5 Statistics Probability normal distribution interpret statistical data interpret and assess the validity of odds and probability statements involve the probability of mutually exclusive and non-exclusive events involve the probability of two events involve the fundamental counting principle involve permutations involve combinations

6 Financial Mathematics Mathematics Research Project research and give a presentation on a historical event or an area of interest that involves mathematics involve compound interest in financial decision making analyze costs and benefits of renting, leasing and buying analyze an investment portfolio research and give a presentation on a current event or an area of interest that involves mathematics