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Unit 4: Thinking with Mathematical Models

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Relations and Functions

For an in-depth explanation of unit goals, specific questions to ask your student and examples of core concepts from the unit, go to Thinking With Mathematical Models.

Online resources for Thinking With Mathematical Models *

Linear Equations

  • Virtual bridge experiment (for Investigation I)
  • What is a linear equation?
  • Graphing lines using slope/intercept form
  • Visualizing slope/intercept form

Solving Equations

  • Intro to solving equations
  • Solving equations
  • Balancing scales

Simplifying Expressions

  • Combining like terms (addition)
  • Combining like terms (subtraction)
  • Combining like terms (multiplication)

Functions

  • Function Machine
  • Graphing functions

Other online resources

  • General Homework Tips
  • Homework examples from Thinking With Mathematical Models

Related: Jeopardy Game-functions & relations | relations| interactive function | functions | evaluating functions | vertical line test | composition of Functions | one-to-one functions | inverse of a function | domain and range of function types

Functions Unit

Introduction to Algebraic Relations|Identifying Functions & Using the Vertical Line Test|Identifying Functions Practice Problems |Function Notation|Evaluating Functions Linear Functions - Part 1|Linear Functions - Part 2|Quadratic Functions - Part 1|Quadratic Functions - Part 2 - Using the Vertex Formula|Step and Discontinuous Function

Algebra II: Functions

Domain and range worksheet click for answers||Relation and function worksheet/ answer key

  • Relations and Functions --everything you might want to know!
  • identifying the domain and range
  • classifying relations as functions, 1 to 1 functions, or neither
  • performing operations with functions(add, subtract, divide or multiply)
  • Find the inverse of a function
  • Compositions of Functions

Unit 4 Thinking with Mathematical Models

www.math.tamu.edu/~kahlig/venn/venn.html

www.mathguide.com/lessons/SequenceArithmetic.html

www.shodor.org

http://regentsprep.org/Regents/Math/data/linefit.html

http://argyll.epsb.ca/jreed/math9/strand4/scatterPlot.html

www.ncsu.edu/labwrite/res/gh/gh-linegraph.html

www.shodor.org/interactivate/activities/scatterplot/index.html

Review Games:

Relations and Functions Jeopardy Review Game


Line of best Fit

Example of data and graph:

http://www.bbc.co.uk/schools/ks3bitesize/maths/

handling_data/representing_data/revise8.shtml

Equation of a line of best fit

YouTube Video

YouTube Video

Sequence and Series Introduction Video

YouTube Video

YouTube Video

Positive correlation Negative correlation No correlation

Points form a line that goes diagonally up from bottom left to top right

Points form a line that goes diagonally down from top left to bottom right

Points are positioned randomly with no obvious line


This shows that as one variable increases the other increases.


This shows that as one variable increases, the other decreases.


This shows that there is no connection between the two variables.

YouTube Video

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