Foundations of Math

Foundations of Math Outcomes & Learning Targets

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Module A: Functions

Outcome 1: I can apply the concept of a function to analyze and solve problems.

  1. I can use and interpret function notation appropriately. F.IF.2

  2. I can solve problems in context using a table and/or graph of a function., F.IF.1

  3. I can represent the set of all solutions of a function. A.REI.10

  4. I can determine if a relationship between two sets of values is a function. F.IF.1

Outcome 2: I can identify key features of a function and interpret them in terms of the context.

  1. I can describe a function as increasing, decreasing, or both. F.IF.4

  2. I can identify intercepts from a table or graph and interpret them in terms of the context. F.IF.4

  3. I can sketch graphs showing key features given a verbal description of the relationship. F.IF.4

  4. I can relate the domain & range of a function to its graph and, where applicable, to the relationship it describes. F.IF.5

  5. I can calculate and interpret the average rate of change of a function over a specified interval. F.IF.6

Module B: Linear Functions

Outcome 3: I can create and analyze representations of linear functions.

    1. I can create another representation of a linear pattern given any one of recursive rule, function rule, table, graph, and/or contextual situation.  2, F.IF.7,F.BF.1,2

    2. I can determine and explain the rate of change and/or the initial value of a linear pattern given any representation. A.SSE.1, F.IF.4,6, F.LE.5

    3. I can add, subtract and multiply (by a constant) to rewrite linear expressions in equivalent forms. A.APR.1, F.BF.1b

    4. I can provide a reasonable domain and range for a linear function given a contextual situation and/or a graph. F.IF.5

    5. I can compare and contrast two different linear functions given any representation. F.IF.9

Outcome 4: I can create, solve and justify solutions for linear equations and inequalities in one variable.

  1. I can create and solve linear equations algebraically.A.CED.1, A.REI.3

  2. I can justify the steps used in the algebraic process of solving a linear equation.A.REI.1

  3. I can rearrange a formula to highlight a quantity of interest. A.CED.4, A.REI.1, 3

  4. I can create linear inequalities in one variable. A.CED.1

  5. I can solve linear inequalities in one variable. A.REI. 3, A.CED.1

Outcome 5: I can create and solve linear systems of equations in context

  1. I can create a system of linear equations to model a situation in context.A.CED.3

  2. I can solve a system of linear equations using tables and graphs. A.REI.11, A.REI.6,

  3. I can solve a system of linear equations by elimination. A.REI.5,6

  4. I can solve a system of linear equations by substitution. A.REI.6

Outcome 6: I can create and solve linear inequalities and systems of linear inequalities in context.

  1. I can create a linear inequality in two variables to model a situation in context. A.CED.3

  2. I can represent the solutions of a linear inequality.A.REI.12

  3. I can create a system of linear inequalities to model a situation in context. A.CED.3

  4. I can represent the solutions of a system of linear inequalities.  A.REI.12

Module C: Statistics

Outcome 7: I can compare two sets of data using graphs and summary statistics appropriate to the shapes of the distribution.

    1. I can create a graph of data, using technology, including histograms and boxplots. S.ID.1

    2. I can choose, calculate, and interpret a measure of center (mean or median) appropriate to the shape of a distribution to compare data sets. S.ID.2

    3. I can choose, calculate, and interpret a measure of spread (interquartile range or standard deviation) appropriate to the shape of a distribution to compare data sets. S.ID.2

    4. I can interpret, in context, differences in the shape, center, and spread of two or more sets of data. S.ID.2

    5. I can describe the effects of extreme data points on shape, center, and/or spread.S.ID.3