Welcome to Algebra 4 SPRING semester!


***   ANNOUNCEMENTS   ***

 

 

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Class meets at 1950 Pacific Ave in the Orange Room

My email is townbey@tacoma.k12.wa.us 

What can you do to get more support?

  • There's after school tutoring in the Math Lab at 1950 (Mon - Thurs 3:30-4:30)
  • Come to class early (or stay late) to ask questions or to make sure your Algebra Journal is updated and that you have all the materials you need

Daily Log

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Module 3 - Polynomial Functions

TO DOWNLOAD MODULE 3 PACKET:

http://www.mathematicsvisionproject.org/uploads/1/1/6/3/11636986/sec3_mod3_polyfun_se_32414.pdf

Day 5 - April 24, 2017

Learning Target

Students will graph polynomials from roots and apply the Fundamental Theorem of Algebra

Notes/Classwork

Fundamental Theorem of Algebra

Degree of polynomial and its relation to number of roots(zeros, x-intercepts) and curves of the graph

Pages 28-29 #1-8

Homework

worksheet "Zeros of Polynomials"

Day 4 - April 19, 2017

Learning Target

Identify and describe key features of a graph: domain, range, intervals of increase/decrease, zeroes(roots, x-intercepts), y-intercept, max/min, end behavior

Notes/Classwork

Using desmos.com do problems on page 22 #1-8, list key features on a separate sheet of paper

Homework

Page 24-25 #1-7 (skip #2)

Day 3 - April 17, 2017

Learning Target

Combining polynomials graphically and algebraically

Notes/Classwork

In class practice on p.17-18 #1-10 and p.6 #16-22

Homework

pages 19-21 #7-11, 20-24

page 9 #1-3

 

Day 2 - April 12, 2017

Learning Target

Describe end behavior of functions given different representations

Notes/Classwork

Module 3, lesson 3.3 - "All About Behavior"

Page 7 #1-5 - use desmos.com to graph each function, sketch each graph, describe end behavior, name type of function and degree(if polynomial). Graphic organizer is available in documents.

What did you notice about end behavior? Shapes of graphs? Can you predict shape of graph from equation?

Homework

Module 3 - page 14-16 #7-10 and #24-29

Day 1 - April 10, 2017

Learning Target

Ordering functions based on growth rate

Notes/Classwork

Module 3 - Polynomial Functions

page 7 #1-5, use the value of x=100 for question 3 and x = -100 for question 4

Discuss end behavior and shapes of graphs - informally

Homework

page 10 # 13-16

Module 2 - Logarithmic Functions

TO DOWNLOAD THE MODULE 2 PACKETS: 

http://www.mathematicsvisionproject.org/uploads/1/1/6/3/11636986/sec3_mod2_logfun_se_041214.pdf

 Day 3 March 13-14 (March 9 for 8th period)

Learning Target

Able to identify horizontal and vertical shift of logarithm graph

Notes/Classwork

Review of creating table for a logarithm function and graphing log function

Identifying horizontal and vertical shift of logarithm graph and the corresponding changes in the equation

Homework

page 15 #1-8 and page 16 #11-21 odds

Day 2 March 8-9 (March 7 for 8th period)

Learning Target

Able to write a log function from an exponenet and vice versa

Able to give whole number answer to a logarithm using the idea of the inverse of an exponent

Notes/classwork

How to write log as an exponent and exponent as a log

Practice problems in class

Page 4-5 #1-8

Homework

Page 8 #8 and 10, Page 9 #17-28

Day 1 March 6-7, 2017 (March 2 for 8th period)

 

Learning Target 

Demonstrate knowledge of Inverse Functions

Connect exponent function with logarithmic function

Notes and Classwork

Unit 1 test on Inverse Functions

Creating a table for y=2^x and y=(1/2)^x

Connecting the parts of a logarithm to the parts of an exponent.

Homework

p.7 #1-6 of Module 2

Module 1 - Functions and Their Inverses

TO DOWNLOAD THE MODULE 1 PACKETS: 
http://www.mathematicsvisionproject.org/uploads/1/1/6/3/11636986/sec3_mod1_funinv_se_31213.pdf

Day 8 and 9 February 27-28 and March 1, 2017

Learning Target

To prepare for Module 1 unit test

Notes and Classwork

Stations with unit practice:

-finding inverse of functions algebraically

-finding inverse of tables and graphs

-composing functions

THERE ARE WORKSHEETS IN THE DOCUMENTS TAB THAT WILL GIVE YOU EXTRA PRACTICE look for "Practice Properties of Exponents" and "Practice Function Inverses"

Homework

Review homework and classwork and notes

Create 3"x5" page of notes for use on the Module 1 Unit Test

Day 7 February 22-23, 2017

Learning Target

Be able to use the properties of exponents to expand or simplify expressions with exponents

Notes and Classwork

Fill out Exponent Rule graphic organizer during discussion/presentation

Practice with exponent rules in class

Homework

Properties of exponents worksheet #1-6, #7-27 (odds)

Day 6 February 15-16, 2017

Learning Target

Given a simple function students will be able to write its inverse

Notes and Classwork

1.4 Pulling a Rabbit Out of a Hat #1-7, skip #3

Notes: Inverse notation, function notation vs. ordered pair, exponent product and quotient rule

Homework

P. 26 #1-14

Day 5 February 13-14, 2017

  • Learning Target
    • I can create a table for and graph exponential function and its inverse
  • Notes and classwork (period 4 only)
    • 1.2 Flipping Ferraris p. 10-11 #2-4
    • For #3 create tables for speed vs. distance and distance vs. speed
    • Graph both on the same set of axes
    • Graph y=x
    • For #4 examine domain, range, increase/decrease, maximum/minimum
  • Notes and classwork for ALL
    • 1.3 Tracking the Tortoise p.17-19 #1 and 3-11
  • Homework p.20 #4-7 and p.21 #19-30

Day 4 February 9, 2017

  • Learning Target
    • Given a real world example, student can find inverse using table and graph
  • Notes and classwork
    • 1.2 Flipping Ferraris p. 10-11 #2-4
    • For #3 create tables for speed vs. distance and distance vs. speed
    • Graph both on the same set of axes
    • Graph y=x
    • For #4 examine domain, range, increase/decrease, maximum/minimum
  • Homework p.16 #28-30

Day 3 - February 7-8, 2017

  • Learning Targets
    • Given a function(equation), find it's inverse function
  • Notes and classwork
    • graph of y=x, y=(3/4)x
    • reflect y=(3/4)x about y=x, these are inverse functions
    • create tables for y=(3/4)x and y=(4/3)x, notice how x and y switch places, these are inverses
    • find inverse of y=(3/4)x using algebraic method
    • practice problem
  • Homework: p.14-16 #1,3,5 (6-11 bonus), 12-14, 15-27 odds

Day 2 - February 1 -2. 2017

iReady testing

Day 1 - January 30-31, 2017

  • Learning Targets
      • identify inverse function by comparing domain and range, comparing graphs
  • Notes and classwork
    • Lesson 1.1 #1-3
    • Review linear equations, graphs and tables
    • Function notation
    • Examine tables and graphs and note how the x and y variables switch places
  • Homework: p.7#1-7  and p.9#14-25