Tuesday Monday Amanda Larner- 7th Grade Math Duty Week: NO CCSS Student Objective Mathematic al Practices Lesson 7.NS.A.1c Understand subtraction of rational numbers as adding the additive inverse, p-q = p + (q). Show that the distance between two rational numbers on the number line is the absolute value of their difference, and apply this principle in real-world contexts. 7.NS.A.1d TSW… Use properties of operations to add and subtract rational numbers without the use of a calculator. MP.1 Make sense of the problem MP.3 Construct viable arguments Applying the Properties of Operations to Add and Subtract Rational Numbers (Module 2, Lesson 8) Activity: Recall of a Number’s Opposite Example 1: The Opposite of a Sum is the Sum of its Opposites o Exercise 1: Practice Example 2: A mixed Number is a Sum o Exercise 2-5: Practice Closing: How can we rewrite the opposite of a sum? How is it helpful when finding the sums and differences of rational numbers to use the properties of operations? Exit Ticket TSW… Use properties of operations to add and subtract rational numbers. MP.3 Construct viable arguments MP.8 Repeated reasoning. Applying the Properties of Operations to Add and Subtract Rational Numbers (Module 2, Lesson 9) Exit Ticket Problem Set #1-5 Due 11/4 Individual student assessment NONE Apply properties of operations as strategies to add and subtract rational numbers. 7.NS.A.2 Wednesday Lesson Plans: Week of November 2, 2015 Understand that multiplication is extended from fractions to rational numbers by requiring that operations continue to satisfy the properties of operations, particularly the distributive property, leading to products such as (–1)(–1) = 1 and the rules for multiplying signed numbers. Interpret products of rational numbers by describing real-world contexts. TSW… Complete a quiz covering lessons 5-9. MP.1 Make sense of the problem MP.3 Construct viable arguments Assessm ent Problem Set #1-9 Due 11/3 Really Big Pumpkin and Candy Tasks due Tuesday! Exercise 1: students are given the scrambled steps to one possible solution. They work independently to arrange the expressions in an order that leads to a solution. Examples 1 and 2: work whole group to explain each step and justify with the appropriate property. Exercise 2: Team Work! o Students work in groups of three/four. Students have a different colored pencil. Students take turns writing a step to each problem, passing the paper to the next person, and rotating who starts first with each new problem. o After 10 minutes, students partner up with another group of students to discuss/debate answers. Quiz: Module 2—covers Lessons 5-9 Homework Amanda Larner- 7th Grade Math Friday Thursday 7.NS.A.2 TSW… Understand that multiplication is extended from fractions to rational numbers by requiring that operations continue to satisfy the properties of operations, particularly the distributive property, leading to products such as (–1)(– 1) = 1 and the rules for multiplying signed numbers. Interpret products of rational numbers by describing real-world contexts. Practice and justify understanding of multiplication of integers by using the Integer Game. 7.NS.A.2 TSW… Understand that multiplication is extended from fractions to rational numbers by requiring that operations continue to satisfy the properties of operations, particularly the distributive property, leading to products such as (–1)(– 1) = 1 and the rules for multiplying signed numbers. Interpret products of rational numbers by describing real-world contexts. Understand the rules for multiplication of integers and that multiplying the absolute values of integers results in the absolute value of the product. Lesson Plans: Week of November 2, 2015 MP.1 Make sense of the problem MP.3 Construct viable arguments MP.3 Construct viable arguments MP.8 Repeated reasoning. Duty Week: NO Understanding Multiplication of Integers (Module 2, Lesson 10) Exit Ticket Problem Set #1-3 Due 11/6 Exit Ticket NONE Exercise 1: Play one round of the integer game. Example 1: Product of a Positive Integer and a Negative Integer o Part A: Instruct students to record the values of their cards on the images in Part A. o Part B: Instruct students to copy the value of the card with the star beneath it from Part A on each card with a star beneath in in Par B. o Part C: Instruct students to record the value of their cards on the images in Part C. o Part D: Rewrite the value so the three remaining cards on the other three images. Students now have a total of 8 integer cards. Example 2: Product of a Negative Integer and a Positive Integer Example 3: Product of Two Negative Integers Closing: Extension question Develop Rules for Multiplying Signed Numbers (Module 2, Lesson 11) Example 1: Extending Whole Number Multiplication to the Integers o Part A: students complete only the right half of the table in the student materials. Students describe, using Integer Game scenarios, what the right quadrants of the table represent and record this in the student materials. o Part B: Students complete quadrant 2 of the table. o Part C: Discuss the following question In the Integer Game, what happens to a payer’s score when he removes a matching set of cards with negative values from this hand? Example 2: Using Properties of Arithmetic to Explain Multiplication of Negative Numbers o Guide students to verify their conjecture that the product of two negative integers is positive using the distributive property and the additive inverse property. Exercise 1: Multiplication of Integers in the Real-World o Students create real-world scenarios for expressions given in the student materials. Closing: How do we determine if the product of two signed numbers will be positive or negative? Why does the product of two negative values result in a positive value? Explain using the Integer Game.