**Unit 4 - Graphing and Analytic Geometry**

__Learning Goals: By the end of the unit I will be able to...__- construct tables of values, graphs and equations

- compare the properties of direct variation and partial variation in applications, and identify the initial value

- determine slope

- understand the relationship between rate of change and slope

- determine using first differences the nature of the relation

- express the equation of a line in any of the forms y = mx + b, Ax + By + C = 0, x = a, y = b

- identify the geometric significance of m and b in the equation y = mx + b

- graph lines by hand, using a variety of techniques

- determine the equation of a line from information about the line

- determine graphically the point of intersection of two linear relations, and interpret the intersection point in the context of an application

Equation of Line Assignment

**Practice Test Questions**

Chapter 5

Chapter 6 Review

Chapter 6 Practice Test

Chapter 6 Practice Test 2

Standard Form Practice

DateThurs. Nov 10 Fri. Nov 11 Mon. Nov 14 Tues. Nov 15 Wed. Nov 16 Thurs. Nov 17 Fri. Nov 18 Mon Nov 21 Tues. Nov 22 Wed. Nov 23 Thurs. Nov 24 Fri. Nov 25 Mon. Nov 28 Tues. Nov 29 Wed. Nov 30 Thurs. Dec 1 Fri. Dec 2 Mon. Dec 5 Tues. Dec 6 Wed. Dec 7 |
Topic5.1/5.2 Direct and Partial Variation 5.1/5.2 Direct and Partial Variation 5.3 Slope Slope Video Playlist 5.4 Rate of Change Slope formula 5.5 First Differences 5.6 Connecting Mini-test 6.1 Equation of a Line in y = mx +b 6.2 Equation of a Line in Ax+By+C =0 form 6.3 Graph a Line Using Intercepts 6.4 Parallel and Perpendicular Lines QUIZ – (standard form, graphing using intercepts, parallel and perpendicular slopes) 6.5 Find an Equation given Slope & a Point 6.6 Find the Equation given 2 Points Equation of a Line Assignment – intro and work period Whole class activity – Discuss assignment (success criteria, graphic organizer, answer questions) Review QUIZ Linear Systems – graph and find POI Linear Systems – Interpret and create eqn’ Linear Systems – Day 2 Review UNIT 4 TEST |
Learning Goal: By the end of the day, I wil be able toCompare the properties of direct and partial variation Identify the initial value Understand the relationship between slope and rate of change (table, graph, equation) Determine slope Connect the rate of change with the slope Determine the slope of a line using slope formula Calculate first differences Determine the type of relation using first differences (linear/non-linear) Understand the relationships between graphs, situations, rate of change and slope use words, tables, graphs and equations to determine slope/rates of change, create graphs and explain relationships and trends PD DAY Determine the equation of a line in slope/y-int form Graph a line using the equation in y = mx+b form Determine the relationship of equation of a line in Ax+By+C = 0 form and y = mx + b form Draw a graph of a line using the intercepts Use slope to determine parallel and perpendicular lines Determine the equation of a line given the slope and a point Determine the equation of a line given 2 points(algebraically) Demonstrate my understanding of determining an equation for a line Apply the POI to linear systems Interpret and create equations Consolidate my understanding of equations of lines and linear systems Demonstrate my understanding of equations of lines and linear systems |
HomeworkWork from activity Handouts Pg. 242 #1, 3, 5, 13* Pg. 250 C1 #1,2, 7, 10 Pg. 259 #1a,2,5,6, 8, 9 Handouts Pg. 267 C2 #1,4,6,7, Challenge:20 Pg. 275 C1 #1, 2ab,3,4,5a,6 Pg. 284 C3 #1-4,6,7,9,10,13 REVIEW ALL HOMEWORK Review old tests p. 303 #C1-C3, 1ad,2ad,3ad,4ac, 6, 8, 10, 14 Solutions: part1 part2 p. 312 C1 #1,3,4,6,7,11 p.319 C1,C2,C3 #1,2a,3aceg,4ab,5,7,9,11 p.327 #3,4,5,8,9 pg. 305 #7 p.335 C1 #1ace,2-7 p.341 C1 #1ad,2-4,6,7 Handout Assignment: Equation of a line Work Period Work Period Hand in Equation of a line -- Assessment for learning activity p.348 C2 #1,2ac, pg. 251 #6 Pg. 350 #9,11,12 p. 355 #13 Take up problem questions from equation of a line assignment (document camera) – other questions p.352-355 |