Fort Service Learning Magnet Academy Lesson Plans 2014-2015 Name: Davis, Hood, Leon, Howell, Johnson, Perkle, and Terrell Subject: Mathematics Week: January 26 – 30, 2015 Grade: 8th Date Georgia Common Core Standards Activity Mon. 01/26 MCC8.EE.5 Graph proportional relationships , interpreting the unit rate as the slope of the graph. Compare two different proportional relationships represented in different ways. • MCC8.EE.6 Use similar Opening: Warm-up MiniLesson(functions) on smart board Activity: • What’s my line performance task part1: Intervention/Scaffol ding: • Have students review ratio, proportions, and slope Learning Target I can Statement Enduring Understand ing I can calculate slope on a graph using similar triangles. Essential Questions Vocabulary Assessment Homework Resources • What is the significanc e of the patterns that exist between the triangles created on the graph of a linear function? Rise Run Unit Rate Slope Independe nt and Dependent Variable In this task, students will investigate the relationship patterns that exist between the triangles created on the graph of a linear function. Teacher observation Copies of task for students from the Georgia Frameworks Unit 5- What’s My Line copies for a pair of students based on the number of students in your class • Straightedge • Graph paper http://incompetech.com /graphpaper Accommodations triangles to explain why the slope m is the same between any two distinct points on a non-vertical line in the coordinate plane; derive the equation y = mx for a line through the origin and the equation y = mx + b for a line intercepting the vertical axis at b. Define, evaluate, and compare functions. • MCC8.F.3 Interpret the equation y = mx + b as defining a linear function, whose graph before starting this task. Prompt struggling students with guiding questions. • Closure: Exit tickets Finding the slope of a line and the slope of two points Students work in small groups or with partner to determine the answers Homework: textbook page Copy Example #1 on page 633 and Example #3 on page 634 Do page 635 #1-3 and #813 Tues. 01/27 is a straight line; give examples of functions that are not linear. MCC8.EE.5 Graph proportional relationships , interpreting the unit rate as the slope of the graph. Compare two different proportional relationships represented in different ways. • MCC8.EE.6 Use similar triangles to explain why the slope m is the same between any two distinct points on a non-vertical line in the coordinate plane; derive Opening: Warm up functions minilesson on smart board Activity: What’s My Line part 1 completed Find the slope of a line and the slope between two points Closure: Exit Preassess for the Fal-: Lines and Linear Equation FAL assessment to determine the groups I can explain why slope is the same between any two distinct points on a non-vertical line using similar triangles. What does the unit rate tell me about the slope of the function line? What does the slope of a function line tell me about the unit rate? Rise Run Slope Unit Rate Independe nt and Dependent Variable Teacher questioning and Students work in small groups to problem solve Homework: textbook page Copy Notes for Ex.#2 on page 634 635 #4-6 and 635 #14-21 Copies of task for students from the Georgia Frameworks Unit 5 –What’s My Line part 1 for the number of students that you have based on pairing them with a partner • Straightedge • Graph paper http://incompetech.com /graphpaper Wed. 01/28 the equation y = mx for a line through the origin and the equation y = mx + b for a line intercepting the vertical axis at b. Define, evaluate, and compare functions. • MCC8.F.3 Interpret the equation y = mx + b as defining a linear function, whose graph is a straight line; give examples of functions that are not linear. MCC8.EE.5 Graph proportional relationships , interpreting Opening: Functions on the smart board Mini-lesson I can compare two different proportiona How do I use functions to model relationshi Slope Unit Rate Rate of Change “Common misconcepti ons” Teacher observation Smart Board Power Point Mathshell FAL “Lines and Linear Equations the unit rate as the slope of the graph. Compare two different proportional relationships represented in different ways. • MCC8.EE.6 Use similar triangles to explain why the slope m is the same between any two distinct points on a non-vertical line in the coordinate plane; derive the equation y = mx for a line through the origin and the equation y = mx + b for a line intercepting the vertical axis at b. Activity: Lines and Linear Equations FAL Closure: Day 1what strategies did you use to make a card match? Allow the students 1 minute think, 1 minute to pair with shoulder or face partner, 1 minute to share with the group. Allow groups to share with class. l relationship s given different representat ions ps between quantities? Slope of two points Y= mx + b Y = mx Students may mix up the input and output values/varia bles. This could result in the inverse of the function. • Students will have trouble writing a general rule for these situations. They tend to mix up the dependent and independen t variable. • Some students misinterpret the scale, as it is counting by 5, not 1. • Some students PDF Mathshell FAL – “ Lines and Linear Equations Cards of Graphs Cards of Equations Cards of Flow Charts of the liquid you can link this to a sand timer in the real world. Thur. 01/29 Define, evaluate, and compare functions. • MCC8.F.3 Interpret the equation y = mx + b as defining a linear function, whose graph is a straight line; give examples of functions that are not linear. MCC8.EE.5 Graph proportional relationships , interpreting the unit rate as the slope of the graph. Compare two different proportional relationships represented in different ways. will mistakenly think of a straight line as horizontal or vertical only. Homework: textbook page 648 #1 -8 Opening: Warm-up on the smart board mini-lesson for functions Activity: Lines and Linear Equations FAL Closure: Day 2- Ask a specific question about one of the card sets. Thinkpair-share I can derive the equation y = mx and the equation y= mx + b. How can patterns, relations, and functions be used as tools to best describe and help explain real-life relationshi ps? Slope Unit Rate Rate of Change Slope of two points Y= mx + b Y = mx Teacher ask Questions to probe students to think. Homework: textbook page 671 #12-18 PDF Mathshell FAL – “ Lines and Linear Equations Cards of Graphs Cards of Equations Cards of Flow Charts of the liquid you can link this to a sand timer in the real world. • MCC8.EE.6 Use similar triangles to explain why the slope m is the same between any two distinct points on a non-vertical line in the coordinate plane; derive the equation y = mx for a line through the origin and the equation y = mx + b for a line intercepting the vertical axis at b. Define, evaluate, and compare functions. • MCC8.F.3 Interpret the equation y = mx + b as defining a linear Fri. 01/30 function, whose graph is a straight line; give examples of functions that are not linear. MCC8.EE.5 Graph proportional relationships , interpreting the unit rate as the slope of the graph. Compare two different proportional relationships represented in different ways. • MCC8.EE.6 Use similar triangles to explain why the slope m is the same between any two distinct points on a non-vertical line in the Opening: Warm-Up on the smart board. Students will complete the warm up independently for a grade Activity: Complete the Lines and Linear Equation FAL Closure: Day 3 - To close the lesson allow groups to rotate work or switch groups to get and give feedback to another group. I can explain a real world situation from an equation, table, or graph (explain the rate of change/slo pe and the y-intercept in the context). (linear only) How can patterns, relations, and functions be used as tools to best describe and help explain real-life relationshi ps? Slope Unit Rate Rate of Change Slope of two points Y= mx + b Y= mx Teacher pose questions to help guide students to think of their own answers to develop concepts. Students work with partners and communicat e using the language of the standards Homework: None PDF Mathshell FAL – “ Lines and Linear Equations Cards of Graphs Cards of Equations Cards of Flow Charts of the liquid you can link this to a sand timer in the real world. coordinate plane; derive the equation y = mx for a line through the origin and the equation y = mx + b for a line intercepting the vertical axis at b. Define, evaluate, and compare functions. • MCC8.F.3 Interpret the equation y = mx + b as defining a linear function, whose graph is a straight line; give examples of functions that are not linear.