Microsoft Word - 8th Grade Bundle 2 Unit 5 Math.docx



Student Interactive Plan (SIP)Unit 4: Bundle 1-2 – Representing Linear FunctionsEstimated Duration: 20 Days Unit Overview In this unit, the student is expected to develop their understanding of linear functions. This unit will develop student understanding of what slope is as well as how to calculate it using similar triangles, the slope formula, a table, an equation and a graph. They will relate their previous knowledge of the unit rate in proportional relationships to the slope of the line that models that relationship. Students will be able to model linear functions in multiple representations, including slope-intercept form equations, verbal statements, tables, and graphs. TEKS NOTES – EQUATIONS & REAL-WORLD SCENARIOS8.5I – write an equation in the form y=mx+b to model a linear relationship between two quantities using verbal, numerical, tabular, and graphical representations (RS)8.5A – represent linear proportional situations with tables, graphs, and equations in the form of y=kx (SS)8.5B – represent linear non-proportional situations with tables, graphs, and equations in the form y=mx+b, where b≠0 (SS)37357054445Identify the slope & y-intercept in each equation.y=12xy= -x-3 y=xy=8-xy=34+23x y=400Identify the slope & y-intercept in each equation.y=12xy= -x-3 y=xy=8-xy=34+23x y=4-107954445Write an equation. Identify the slope & y-intercept.Morgan drives 65 miles per hour.Kobe has $7 in his account and earns $4.50 per hour. Jack’s mom buys him 5 video games per week. He already has 15 video games. A 7-inch candle burns at a rate of 2 inches an hour. Shannon has $550 and spends $5 each day. Rob mows 17 yards per day.00Write an equation. Identify the slope & y-intercept.Morgan drives 65 miles per hour.Kobe has $7 in his account and earns $4.50 per hour. Jack’s mom buys him 5 video games per week. He already has 15 video games. A 7-inch candle burns at a rate of 2 inches an hour. Shannon has $550 and spends $5 each day. Rob mows 17 yards per day.TEKS NOTES – GRAPHS GRAPHS GRAPHS GRAPHS GRAPHS GRAPHS GRAPHS8.4C – use data from a table or graph to determine the rate of change or slope and y-intercept in mathematical and real-world problems (RS)8.5I – write an equation in the form y=mx+b to model a linear relationship between two quantities using verbal, numerical, tabular, and graphical representations (RS)8.4A – use similar right triangles to develop an understanding that slope, m, given as the rate comparing the change in y-values to the change in x-values (y2-y1)/(x2-x1), is the same for any two points (x1,y1) and (x2,y2) on the same line (SS)8.4B – graph proportional relationships, interpreting the unit rate as the slope of the line that models the relationship (RS)8.5A – represent linear proportional situations with tables, graphs, and equations in the form of y=kx (SS)8.5B – represent linear non-proportional situations with tables, graphs, and equations in the form y=mx+b, where b≠0 (SS)8.9A – identify and verify the values of x and y that simultaneously satisfy two linear equations in the form y-mx+b from the intersections of the graphed equations42545-31750054019456096000 528764573660000 4254514097000 819150577215Find the Unit Rate for each of the following.A store sells a 5-pound bag of apples for $4.60. A painter earns $119.00 for 7 hours of work A business owner gives out 600 business cards in one hour00Find the Unit Rate for each of the following.A store sells a 5-pound bag of apples for $4.60. A painter earns $119.00 for 7 hours of work A business owner gives out 600 business cards in one hourTEKS NOTES – TABLES TABLES TABLES TABLES TABLES TABLES TABLES8.4C – use data from a table or graph to determine the rate of change or slope and y-intercept in mathematical and real-world problems (RS)8.5I – write an equation in the form y=mx+b to model a linear relationship between two quantities using verbal, numerical, tabular, and graphical representations (RS)8.5A – represent linear proportional situations with tables, graphs, and equations in the form of y=kx (SS)8.5B – represent linear non-proportional situations with tables, graphs, and equations in the form y=mx+b, where b≠0 (SS)4106545892175002457451857375002191385-462470500Misconceptions/Distractors Essential QuestionsThe student may confuse the x-intercept with the y-intercept. The student may not relate the data from the table to the rate of change or slope. The student may think the slope is always equal to y/x. Students may do run/rise instead of rise/run as the slope when using data from the graph. Students may have trouble graphing functions using the intercepts because they think that 0 is substituted for x to find the x-intercept and 0 is substituted for y to find the y-intercept. Students forget the negative signs when finding the slope The student may graph a non-proportional relationship and interpret the slope as the unit rate.The students may not understand a linear proportional relationship goes through the origin.The student may confuse the x-intercept with the y-intercept (i.e. x-intercept = (0, y) and y-intercepts = (x, 0)).The student may not relate the data from the table (i.e.chane in ychange in x ) to the rate of change or slope.The student may think the slope is the unit rate, yx, for a non-proportional linear relationship1. What is the difference in yxand?y?x?2. How do you know when an equation is non-proportional?3. When is the point (x,y) the same for two linear equations? When is a table proportional? What is the rate of change?Additional Resources McGraw-Hill Math Textbook Online – Course 3 Academy Writing Linear Equations in Slope-Intercept Form Writing Linear Equation in y = mx + b Form from Graph of a Line Practice Writing y = mx + b From Verbal Phrases with Immediate Feedback Video Tutorials of Writing Linear Equations in Slope-Intercept from Multiple Representations Multiple Representations Finding the slope of Two Points Graphing Systems of Equations Finding Slope of a Graph74314056540500514540552705002897505654050071310511620500Slope and y-intercept Word Problems of Slope and y-intercept in Word Problems with Examples watch ALL videos on SLOPE: ................
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