Math in Special Effects Lesson Plan

Common Core State Standards 2010

[Note: You may also wish to view Pathways 1 and 2 for Algebra I connections in the CCSS]

Mathematical Practices

• Make sense of problems and persevere in solving them
• Reason abstractly and quantitatively
• Construct viable arguments and critique the reasoning of others
• Model with mathematics
• Use appropriate tools strategically
• Attend to precision
• Look for and make use of structure
• Look for and express regularity in repeated reasoning

Algebra Overview

• Seeing Structure in Expressions
  • A.SSE.1a, 1b, 2 Interpret the structure of expressions.
  • A.SSE.3a, 3b Write expressions in equivalent forms to solve problems.
• Arithmetic with Polynomials and Rational Functions
  • A.APR.1 Perform arithmetic operations on polynomials.
• Creating Equations
  • A.CED.2, 4 Create equations that describe numbers or relationships.
• Reasoning with Equations and Inequalities
  • A.REI.1 Understand solving equations as a process of reasoning and explain the reasoning.
• Represent and solve equations and inequalities graphically
  • A.REI.10 Understand that the graph of an equation in two variables is the set of all its solutions plotted in the coordinate plane, often forming a curve (which could be a line).

Functions Overview

• Interpreting Functions
  • F.IF. 1, 2 Understand the concept of a function and use function notation.
  • F.IF.4, 5, 6 Interpret functions that arise in applications in terms of a context.
• Analyzing Functions using different representations
  • F.IF.7e. Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases (i.e., exponential).
• Building Functions
  • F.BF.1 Build a function that models a relationship between two quantities.
• Build new functions from existing functions
  • F-BF 4a, 4b, 4c.  Find inverse functions:
    a.  Solve and equation of the form f(x) = c for a simple function f that has an inverse and write an expression for the inverse.
    b. Verify by composition that one function is the inverse of another.
    c. Read values of an inverse function from a graph or a table, given that the function has an inverse.

Geometry Overview

• Modeling with Geometry
  • Apply geometric concepts in modeling situations:
    G.MG.1.  Use geometric shapes, their measures, and their properties to describe objects.

Modeling Standards
Modeling is best interpreted not as a collection of isolated topics but rather in relation to other standards. Making mathematical models is a Standard for Mathematical Practice.