Geometric Sequences / Examples & Practice

After completing the boomerang problem and a short review over Arithmetic Sequences, we started looking a patterns generated by multiplication.

 

     

 

For more help with Arithmetic or Geometric Sequences:  See Cool Math Sequences & Series Lessons 1, 2, 5, 7 is what you are responsible for currently.

Or you may log-in to your TenMarks account and find Arithmetic at the end of the Relations/Functions unit and the Geometric at the beginning of the Exponential Functions unit. 

Sequences 1  Sequences 2 

A few practice problems from class today (9/28/11)

Equations Pre-Test

  Students are currently reworking missed problems from last weeks assessment on Relations / Functions.

  Today, after completing the boomerang problem, they were given 11 equations to solve.  This will be a pre-test to determine where they stand in ability to solve a variety of equations.  Students, you must remember, these are our goals for the unit!

Rate each one – 3! You’ve got it and do not need more practice. 

                               2!  You’ve almost got it, but could use a little more practice!

                               1!  Not sure where to start and need some instruction.

 

Boomerangs

   History of the Boomerang

   Yesterday was our first Kentucky Leadership Network meeting for Mathematics.  One of our sessions was an introduction to Lessons created through the Mathematics Assessment Project.  Today, I shared a problem which we were presented as part of our training. 

Students had 10-15 minutes to work individually on their solutions.

 

  Tuesday we’ll revisit our responses, then work within small groups to create a better solution.

  Students will then receive 4 sample solutions to analyze and discuss.

Using Differences to Identify Patterns

Students were asked to create 3 tables of values – one of each: linear, quadratic, expoential (not in that order).  At the beginning of class, students will exchange their tables, and determine which function family each tov belongs to.  They may/may not be able to determine if any patterns exist in the radical and rational functions.

examples presented in class…

Relations & Functions – models & interpreting

 

functionspractice pages 114, 118, 122, 130

Electric Car
Target #4 model situations using equation, graph, table of values.
Target #1 determine if relation is a function.
Target #6 define dependent and independent variables for a function.
 
Fountain
Target #4 model situations as a function to relate two quantities.
Target #7 Interpret functions in real world situations
 
Falling Objects
Target #6 Define dep. / indep. variables of a function.
Target #7 Interpret a function in terms of real-world situation.
Target #2 Evaluate functions for given values of x.
 
Car Wash
Target #6
Target #1
Target #4
Target #5 Define domain & range of a function, mathematically & real-life context.