Williams Math Blog

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

1/12/12 Solving Absolute Value Equations

• We reviewed solving equations and writing equations of lines today.      Download Warm up 1-12-12 Solve equations      Download 2.1 Practice Worksheet
• We learned to solve absolute value equations, section 2.2 in the textbook.
• Homework: From the textbook complete Pg. 30 # 1 - 5 odd, 7 - 15 all & from the worksheet (backside) complete problems #12 - 18 even.      Download Textbook Pg. 30 & Absolute Vaule Equation WS          

1/11/12 Write the Equation for a Line & Word Problems

• We began with a solving equations worksheet, which was collected and graded for accuracy.
• Today's lesson continued with section 2.1. We learned to write an equation of a line given a table of values. We learned to solve word problems using linear equations.  Examples were from the workbook, Pg. 26 # 9 - 15 all.     Download Workbook Pg. 26
• In class, we practiced more word problems from a worksheet. 
  
• Homework: From your textbook, complete Pg. 26 Set 2.1 A # 1- 7 odd, 9 - 17 all and Pg. 27 Set 2.1 B # 1 &2. You must represent an equation for each word problem.     Download Textbook Pg. 26 & 27 (2.1 Set A & B)
  
• The make up and retest for the Right Triangles Trigonometry Test is this afternoon at 3:35 in my room, tomorrow morning at 7:30 in Room 505 with Mrs. Bartlett, or tomorrow afternoon at 3:35 in my room. These are the only opportunities to make up and retake this test!