Unit 5

Linear Functions

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Proportionality
Essential Question: What does the slope of a line indicate about a line?

Functions
Essential Question: What information does the equation of a line give you?

Modeling
Essential Question: How can you make predictions based on a scatter plot?

Ceteris Paribus
Essential Question: Loosely translated from Latin, ceteris paribus means "all other things held constant" How can the analysis of functional relationships between two variables be useful when other variables impact the functional relationship, too?

FUNCTION MACHINE			Graphing Calculator
Lesson/Objective	Supplemental Lessons	On-line Practice	Homework
5-1 Rate of Change and Slope Objective: To find rates of change from tables; To find slope Essential Understandings: You can use ratios to show a relationship between changing quantities, such as vertical and horizontal change.	Video Tutors finding the slope using rise over run finding the rate of change using a table finding the rate of change using a graph finding slope using coordinates finding the slope of horizontal or vertical lines	self-check quiz Solve It! Additional PROBLEMS Enrich!	hw#5-1: Due Thur Jan 12 (A) Fri Jan 13 (B) pg 296 #1-35 Odd
5-2 Direct Variation	*Postponed until later in the unit... Mr. C.*
5-3 Slope-Intercept Form Objective: To write linear equations using slope-intercept form; To graph linear equations in slope-intercept form Essential Understandings: You can use the slope and y-intercept of a line to write and graph an equation for the line.	Video Tutors graphing a linear equation using slope-intercept form writing an equation given the slope & y-intercept writing an equation from a graph	self-check quiz Solve It! Additional PROBLEMS Enrich!	hw#5-3: Due Tue Jan 17 (B) Wed Jan 18 (A) 1) pg 312 #7-27 Odd
5-4 Point-Slope Form Objective: To write and graph linear equations using point-slope form Essential Understandings: You can use the slope of a line and any point on the line to write and graph an equation of the line. Any two equations for the same line are equivalent.	Video Tutors analyzing linear graphs graphing linear equations using point-slope form writing an equation in point-slope form using a point and the slope writing an equation in point-slope form from a graph writing a linear equation using a table	self-check quiz Solve It! Additional PROBLEMS Enrich!	*hw#5-4:* Due Thur Jan 19 (B) Fri Jan 20 (A) pg 318 #1-7 All, #9-33 Odd P.S. You have a QUIZ on coming soon. You should be able to answer every question in the mid-chapter quiz (pg 319) except for #7-9, which we will cover next week. Might as well take a look at it sooner than later (you're welcome!)
5-5 Standard Form Objective: To graph linear equations using intercepts; To write linear equations in standard form Essential Understandings: One form of a linear equation, called standard form, allows you to find intercepts quickly. You can use the intercepts to draw the graph.	Video Tutors Modeling real world situations using linear equations Finding the x- and y-intercepts from an equation in standard form Graphing linear equations using intercepts	self-check quiz Solve It! Additional PROBLEMS Enrich!	*hw#5-5:* Due Mon Jan 23 (B) Tue Jan 24 (A) Complete Unit 5 Problem Set A ANSWER KEY *Note to Absentees!! Thie Problem Set is a printable pdf file... you are expected to complete it... see your friends or me for help* *PROBLEM SET 5A WILL BE COLLECTED AND GRADED!!* Optional Additional HW: (for those that prefer A's to those other grades): pg 326 #27-30 Graph on ONE coordinate plane #37,40,41,43 #45,47 (Hint: to use the graphing calculator, you'll have to convert to slope-intercept form) ALSO: Browse the Mid-Chapter Review (pg 321)... you should feel comfortable with all of those problems, EXCEPT FOR #7-9... add #26 to your assignment (above) for EXTRA CREDIT!!) For those so inclined, now would be a good time to look at pages 358-360... it's a GOOD START for the mid-term review.
Mid-Chapter Practice and Review	Use Slope-Intercept Form to Zap the Cockroaches!
"Take Home" QUIZ on sections 5-1 thru 5-5 excluding 5-2; Unit 5 Problem Set A
5-6 Parallel and Perpendicular Lines Objective: To determine whether lines are parallel, perpendicular, or neither; To write equations of parallel lines and perpendicular lines Essential Understandings: You can determine the relationship between two lines by comparing their slopes and y-intercepts.	Video Tutors Determining whether lines are parallel Writing equations of parallel lines Determining whether lines are perpendicular Writing equations of perpendicular lines	self-check quiz Solve It! Additional PROBLEMS Enrich!	hw#5-6: Due Wed Jan 25 (B) Thurs Jan 26 (A) pg 330-32 #1-4 All #7-35 Odd AND.... hw #5-2 Due Wed Jan 25 (B) Thurs Jan 26 (A) pg 302-03 # 1-5 All #9-14 All #30-34 All *To reiterate, For those so inclined, now would be a good time to look at pages 358-360... it's a GOOD START for the mid-term review.*
5-2 Direct Variation Objective: To write and graph an equation of direct variation Essential Understandings: If the ration of two variables is constant, then the variables have a special relationship, known as a DIRECT VARIATION.	Video Tutors using a direct variation to describe a situation using a proportion as an equation of direct variation using a proportion to solve a direct variation problem	self-check quiz Solve It! Additional PROBLEMS Enrich!
NOTE TO STUDENTS January, 2012 We will be SKIPPING SECTION 5-8 for now and re-visiting later in the year I have left the section intact at the bottom of this page for my reference only
5-7 Scatter Plots and Trend Lines Objective: To write an equation of a trend line and a line of best fit; To use a trend line and a line of best fit to make predictions Essential Understandings: You can determine whether two sets of numerical data are related by graphing them as ordered pairs. Most scatter plots are in the first quadrant of the coordinate plane because the data are usually positive numbers.	Video Tutors Making a scatter plot Using scatter plots and trend lines to make predictions Writing an equation for a line of best fit	self-check quiz Solve It! Additional PROBLEMS Enrich!	hw#5-7: Due Fri Jan 27 (B) Mon Jan 30 (A) HOMEWORK SMORGASBORD!! Complete Unit 5 Problem Set B pg 340-43 #9,10,18,19 For the UNIT TEST, you should IMMERSE yourself in pages 353-357. You don't have do to every problem, but YOU DO HAVE TO KNOW HOW TO DO EVERY PROBLEM!! ... AND, you should know where to ask questions if you need help.
UNIT TEST REVIEW	UNIT 5 EXTRA PRACTICE *Answer Key*	CUMULATIVE REVIEW 1-5
UNIT 5 TEST (excluding section 5-8): Fri Jan 27 (B) & Mon Jan 30 (A) N.B. LINE OF BEST FIT (using a graphing calculator) will NOT be on the test TREND LINES will be on the test (you should know the difference!)
5-8 Graphing Absolute Value Functions Objective: To graph an absolute value function; To translate the graph of an absolute value function Essential Understandings: You can quickly graph absolute value equations by shifting the graph of y = \|x\|.	Video Tutors Graphing a vertical translation of an absolute value equation Writing an equation for the vertical translation of an absolute value equation Graphing a horizontal translation of an absolute value equation Writing an equation for the horizontal translation of absolute value equation	self-check quiz Solve It! Additional PROBLEMS Enrich!	hw#5-8 Due pg 344-46 #1-5 All #11- 41 Odd #50-53 All Extra credit for the first few good explanations of #41 on the blog!