Amanda Larner- 7th Grade Math CCSS Student Objective TSW… Mathematic al Practices MP.1— Persevere MP.6—Precision MP.3—Construct viable arguments Monday Create a class mission for 7th grade math. Lesson Plans: Week of August 31, 2015 Tuesday 7.RP.A.2. Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships. Wednesday 7.RP.A.2. Represent proportional relationships by equations. TSW… Identify the same value relating the measures of x and the measures of y in a proportional relationship as the constant of proportionality and recognize it as the unit rate in the context of a given situation. TSW… use the constant of proportionality to represent proportional relationships by equations in real world contexts as they relate the MP.1-Perservere MP.2-Reason abstractly/quanti tatively MP.6-Percision MP.1-Perservere MP.2-Reason abstractly/quanti tatively Mp.6-Precision Duty Week: YES Lesson Assessmen t Homework Class Mission Statement o Discuss the importance of a mission; connect with learning requirements and smart goal. o On 3 separate chart papers write the following questions Why are we here? What do we have to well together? How will we make that happen? o Each student will be given 3 sticky notes, they will be given time to write a response to each question and the put their sticky note on the corresponding chart paper. o Students gallery walk to see other student responses Have a student summarize each question o In their groups of four, students will generate a mission, they will then share their missions with the class. What do our missions have in common? Is there anything missing? What is a must have in our mission? o Collect missions-I will review and generate one class mission. Unit Rates as the Constant of Proportionality (Module 1, Lesson 7) Example: National Forest Deer Population in Danger? o Students will link the concept of a unit rate, to the constant of proportionality. Discuss Key Vocabulary: Constant/Variable Partner Work: Student complete example 2, “You Need What?” o Discuss methods and strategies Group work: Students complete example 3, “French Class Cooking” o Discuss methods and strategies Closing: What is another name for the constant that relates the measures of two quantities? How is the Constant of Proportionality related to the unit rate? Student discussions Exit Ticket Problem Set: Lesson 7, #1-4 Due Wednesday9/2 Representing Proportional Relationships with Equations (Module 1, Lesson 8) Discussion: How could we use what we know about the constant of proportionality to write an equation? Example 1: Do we have enough gas to make it to the gas station? o Discussion point: remind students to think of the constant of proportionality as 𝑘=y/𝑥. o Discussion point: tell students that this equation models the situation and will provide us with a way to determine either variable when the other is known. Exit Ticket Problem Set: Module 1, Lesson 8 #1-6 Due Thursday-9/3 Student participation in creation of mission Problem SolvingPurple Paint Problem Due: Thursday, September 3, 2015. Amanda Larner- 7th Grade Math Lesson Plans: Week of August 31, 2015 equations to a corresponding ratio table and/or graphical representation. 7.RP.A.2. Friday Thursday Represent proportional relationships by equations. 7.RP.A.2 d. Explain what a point (x, y) on the graph of a proportional relationship means in terms of the situation, with special attention to the points (0, 0) and (1, r) where r is the unit rate. TSW… use the constant of proportionality to represent proportional relationships by equations in real world contexts as they relate the equations to a corresponding ratio table and/or graphical representation. MP.1-Perservere MP.2-Reason abstractly/quanti tatively Mp.6-Precision TSW… consolidate their understanding of equations representing proportional relationships as they interpret what points on the graph of a proportional relationship mean MP.1-Perservere MP.2-Reason abstractly/quanti tatively Mp.6-Precision Duty Week: YES Example 2: Andrea’s Portraits o Work in pairs to determine equations; students will then discuss their results. Closing: How can unit rate be used to write an equation relating two variables that are proportional? Representing Proportional Relationships with Equations (Module 1, Lesson 9) Example 1: Jackson’s Birdhouses o Define the variables. o Discussion Point: Does it matter which of these variables is independent or dependent? o Discussion Point: If it is important to determine the number of birdhouses that can be built in one hour, what is the constant of proportionality? o Discussion Point: If it is important to determine the number of hours it takes to build one birdhouse, what is the constant of proportionality? o Be sure to discuss non-integer answers; what a portion of an hour will mean in the context of this situation. Example 2: Al’s Produce Stand o Reinforce same discussion points with example 2 o Students will share out their solution pathways Closing: o What type of relationship can be modeled using an equation in the form 𝑦 = 𝑘𝑥, and what do you need to know to write an equation in this form? o Give an example of a real-world relationship that can be modeled using this type of equation and explain why. o How do you determine which value is 𝑥 (independent) and which value is 𝑦 (dependent)? Quiz: Covers lessons 7-9 Interpreting Graphs of Proportional Relationships(Module 1, Lesson 10) Example 1: Grandma’s Special Chocolate-Chip Cookie recipe, which yields 4 dozen cookies, calls for 3 cups of flour to make 4 dozen cookies. o Students work independently to complete a table, unit rate, and graph for the given problem. Exit Ticket Problem Set Module 1, Lesson 9 #1-4 Due Friday-9/4 Exit Ticket Study for mid-module assessment, which is on Wednesday, Sept. 9th (covers module 1, lesson 1-10) Amanda Larner- 7th Grade Math in terms of the situation or context of the problem, including the point (0,0). Lesson Plans: Week of August 31, 2015 Duty Week: YES