Williams Math Blog

1/31/12 More Review for Tomorrow's Test

• We completed a warm up to review sonving absolute value equations, solving, graphing, and writing the solution set in interval notation for absolute value inequalities, and evaluating functions.
  
• Students were given the solutions for yesterday's 2.1 - 2.4 Review. This review is very similar to tomorrow's test. Please make sure you study this review to prepare for the test. Here is the review and the solutions provided in class.     Download 2.1 - 2.4 Review     Download 2.1 - 2.4 Review Solutions
• Students completed a Tic-Tac-Toe Activity to review some concepts for tomorrow's test. They completed a row at a time and I checked their solutions for accuracy. Here is the tic-tac-toe activity and its solutions. You do not need to finish it for homework!     Download Tic-Tac-Toe Review Activity     Download Tic-Tac-Toe Solutions
• The test over sections 2.1 - 2.4, writing equations given absolute value graphs, and writing absolute value equations as piecewise functions is tomorrow!
• If you have any questions, please come see me tomorrow morning from 7:45 - 8:15!
  

1/30/12 Review For Wednesday's Test

• Today, we started with a warm up over writing absolute value equations given the graph and writing absolute value equations as piecewise functions.
• Classwork/Homework: Students were given the 2.1 - 2.4 Review for the test. They had over 55 minutes to work on the review in class. If they did not finish the review in class, they need to finish it for homework.     Download 2.1 - 2.4 Review
• The test is Wednesday, 2/1.
  
• I will be available for help tomorrow and Wednesday mornings from 7:45 - 8:15. Come see me if have any questions!
  

1/27/12 Writing Equations for Absolute Value Graphs & Writing Absolute Value Equations as Piecewise Functions

• We completed a warm up to review the characteristics of an absolute value function.    
• We learned to write the equation of an absolute value graph by identifying a (slope) , h, and k from the vertex. We did the examples from the side of the worksheet.     Download Examples & Worksheet #1 Writing Equations From a Graph
• We learned to write an absolute value equation as a piecewise function, left side is x < h and the right side is x  > h.
• Classwork/Homework: Complete Worksheet #1 Writing Equations from a Graph #7 - 12 all, for #7 & 9 also give the following characteristics: domain, range, intervals of increase and decrease, and extrema. Also complete the Writing Absolute Value Equations as Piecewise Functions Worksheet.     Download Examples & Worksheet #1 Writing Equations From a Graph        Download Write absolute value equation as a piecewise function
• The Test over sections 2.1 - 2.5 is next Wednesday, February 1.
  

1/26/12 More Graphing Absolute Value Transformations

• Today, we learned to write the equation of an absolute value equation given the description of the transformation.
  
• Students had a homework quiz over graphing absolute value functions.     
• Classwork/Homework: Students had 20 - 30 minutes to work on this assignment in class. Complete the Graphing Worksheet: Absolute Value.      Download Graphing Worksheet Absolute Value

1/25/12 2.4 Graphing Absolute Value Functions

• Today, we learned to graph absolute value functions using transformations with a, h, and k. We described the transformation and identified the following characteristics for each graph: domain, range, increase interval, decrease interval, and extrema. We had a 2.4 note sheet for today's lesson.     Download 2.4 Notes Graphing Absolute Value Functions
• Homework: Complete the Graphing Absolute Value Transformations Worksheet. Remember to identify values for a, h, and k and make a table of values to graph the function. Graph and complete the indicated characteristics and describe the transformation. Also include the extrema!     Download Graphing Absolute Value Transformations Worksheet
• I am available for extra help in the mornings from 7:45 - 8:15. Come see me if you have any questions!
  

1/24/12 Linear Functions & Evaluating Functions

• We learned to determine if a function was a linear function and to evaulaute functions in function notation.
• Classwork: Students completed problems #1 - 15 for the 2.3 Practice Worksheet.      Download 2.3 Practice Worksheet      Download Graph Paper
• Homework: Complete the 2.1 Practice B Worksheet. For problems # 1 & 2, state the domain and range, determine if the relation is a function, and if it is a function, determine if it is a one-to-one function. For problems #7 - 14 graph each line on the provided graphs (label the graph with the problem number and equation of the line given). For problems # 15 - 20, there are two parts: decide whether the function is linear AND evaluate.    Download 2.1 Practice B Worksheet
• I am available for help in the mornings from 7:45 - 8:15. Come see me if you have any questions!
  

1/23/12 Relations & Functions

• We learned to identify the domain and range of a relation, determine if the relation is a function, and determine if the function is one-to-one.
• Classwork: We completed problems #5-14 on the front side of the 5-1 Relations & Functions Worksheet & from the textbook, Pg. 35 #3- 9 all.     Download 5-1 RElations & Functions Worksheet
• Homework: Students had 15 minutes to complete this assignment in class. From the workbook, complete Pg. 37 - 39 # 1- 22 all.
  

1/19/12 Review for tomorrow's quiz

• The 2.1 & 2.2 Mini-Quiz was returned and EVERY problem was worked out and explained on the board!
• We reviewed the Graphing Lines using Slope-Intercept Worksheet and graphed 3 more examples.     Download Graphing Lines Using Slope & y-intercept
• Classwork/Homework: Students completed the front side (riddle side) of the More Graphing Lines Worksheet and need to finish the back side of the worksheet for homework.     Download More Graphing Lines Worksheets
• There is a quiz tomorrow over sections 2.1 & 2.2 and graphing lines!
  

1/17/12 Review of 2.1 & 2.2

• We reviewed section 2.1 by completing the 2.1 More Practice Worksheet.     Download 2.1 More Practice
• We reviewed how to solve and graph absolute value inequatilities. We learned to represent the solution set in interval notation.
• Classwork/Homework: From the absolute value equations and inequalities worksheet, complete the following problems on a separate sheet of paper: Set 1 (Equations) # 10, 16, 18, 24, 26, 28 & Set 2 (Inequalities) Solve and graph the solution set. Also represent the solution set in interval notation for # 6, 10, 12, 14, 23, 25, 27, 30.    Download Absolute Value Equations and Inequalities Worksheet
  
• There is a 2.1 - 2.2 Mini-Quiz tomorrow. Students may use notes to complete this mini-quiz. We will only spend 10 minutes discussing homework. If you have questions, please come see me tomorrow morning at 7:45!
• There will be a quiz this Friday, 1/20/12, over sections 2.1 ( using formulas to find missing values and writing equations of a line from a table), 2.2 (solving absolute value equations and inequalities), and graphing a line using slope (m) and y-intercept (b).
  

1/13/12 Solving Absolute Value Inequalities

• We learned to solve absolute value inequalities, including special cases.
• Homework: From the textbook, Pg. 30 #17 - 24 all : solve and graph these problems. This is the same page/worksheet given to you yesterday (front side). Here is a copy of the textbook page if you need it.     Download Textbook Pg. 30 & Absolute Vaule Equation WS