Amanda Larner- 7th Grade Math CCSS Tuesday Monday 7.NS.A.2 Student Objective 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 9, 2015 Mathematical Practices MP.1 Make sense of the problem MP.3 Construct viable arguments Lesson Understanding Multiplication of Integers (Module 2, Lesson 10) MP.3 Construct viable arguments MP.8 Repeated reasoning. Duty Week: YES Assessment Exit Ticket 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. Homework Problem Set #1-3 Due 11/10 Integer Game Reflection Due Friday! Exit Ticket Problem Set #1Due 11/ 12 Integer Game Reflection Due Friday! Amanda Larner- 7th Grade Math Lesson Plans: Week of November 9, 2015 Thursday Wednesday 7.NS.A.2d TSW… Understand that integers can be divided, provided that the divisor is not zero, and every quotient of integers (with non-zero divisor) is a rational number. If p and q are integers, then – (p/q) = (–p)/q = p/(– q). Interpret quotients of rational numbers by describing real-world contexts. Complete the district one benchmark test. MP.3 Construct viable arguments MP.8 Repeated reasoning. Friday 7.NS.A.2d TSW… Convert a rational number to a decimal using long division; know that the decimal form of a rational number terminates in 0s or eventually repeats. Understand that the context of a real-life situation often determines whether a rational number should be represented as a fraction or decimal. MP.1 Make sense of the problem MP.3 Construct viable arguments Duty Week: YES NO SCHOOL: VERTERAN’S DAY Division of Integers (Module 2, Lesson 12) Exercise 1: Recalling the Relationship Between Multiplication and Division o Give each student a card with a whole number multiplication or division math fact on it. Students move around the room in search of other students who have related math facts. Example 1: Guided Activity Transitioning from Integer Multiplication Rules to Integer Division Rules o Students make an “integer multiplication facts bubble” by expanding upon the four related math facts they wrote. o Step 1: Students construct 3 similar integer multiplication problems, two problems using one negative number as a factor, and one with both negative numbers as factors. o Step 2: Students use the integer multiplication facts in their integer bubble to create 6 related integer division facts. o Step 3: Students use the equations in their integer bubble and the patterns they observed to answer questions. o Step 4: Whole-group discussion. Exercise 2: Is the Quotient of Two Integers Always an Integer? o Students explore the question above by coming up with an example to prove or refute their position. Exercise 3: Different Representations of the Same Quotient o Students are given the three different representations and must determine the answers. Exercise 4: Fact Fluency—Integer Division o Students answer as many questions as possible in one minute. Closing: How are the rules for multiplying integers and dividing integers related? If I have a negative quotient, what must be true about the signs of the dividend and /or divisor? If I have a positive quotient, what must be true about the signs of the dividend and/or divisor? Converting Between Fractions and Decimals Using Equivalent Fractions (Module 2, Lesson 13) Example 1: Representations of Rational Numbers in the Real World o Students describe in their own words why they need to know how to represent rational numbers in different ways. Example 2: Using Place Values to Write (Terminating) Decimals as Equivalent Fractions o Students use the place value of the right-most decimal place in a terminating decimal to rewrite a positive rational number as an equivalent fraction. Exercise 1: Students work in pairs to covert each terminating decimal to a fraction. Exit Ticket Problem Set #1-4 Due 11/13 Integer Game Reflection Due Friday! Exit Ticket NONE Amanda Larner- 7th Grade Math Lesson Plans: Week of November 9, 2015 Duty Week: YES Example 3: Converting Fractions to Decimals—Fractions with Denominators Having Factors of only 2 and/or 5 o Students use equivalent fractions whose denominators include only the factors 2 and 5 to write decimal representations of rational numbers Exercise 2: Students work in pairs to convert fractions to decimals Closing: When asked to write a decimal value as a fraction, how do we determine the value of the denominator? If the denominator of a fraction in its simplest form has four factors of 2 and seven factors of 5, describe two different ways in which power of ten can be obtained in the denominator. Do you think it is possible to write a fraction whose denominator has factors other than 2 and 5 as a decimal?