Page 1 of 5 Unit Map 2012-2013 Onslow County School System Marr, Nicole / Math: Seventh Grade Middle Magnet School) Tuesday, September 4, 2012, 5:30AM / Grade 7 (New Bridge Unit: Rational Numbers and Operations (Week 1, 3 Weeks) Big Idea Change Focus of Study Rational vs Irrational Numbers (Types of Numbers) Integers (Addition, Subtraction, Multiplication, and Division) Decimals (Addition, Subtraction, Multiplication, and Division) Fractions- proper, improper and mixed (Addition, Subtraction, Multiplication and Division) Curriculum Goals & Objectives Addressed 2012-2013: Mathematics, 2012-2013: Grade 7, The Number System 7.NS Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers. 7.NS.1. Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram. 7.NS.1a. Describe situations in which opposite quantities combine to make 0. 7.NS.1b. Understand p + q as the number located a distance q from p, in the positive or negative direction depending on whether q is positive or negative. Show that a number and its opposite have a sum of 0 (are additive inverses). Interpret sums of rational numbers by describing real-world 7.NS.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 Resources/Materials notebooks/notes calculator pencils colored pencils colored counters number lines whiteboards and markers homework classwork projects Pre-Assessment: Rational Numbers Knowledge Checks Quizzes Number Types and Integer Rules Test Decimals Test Fractions Test
Page 2 of 5 7.NS.1d. Apply properties of operations as strategies to add and subtract rational numbers. 7.NS.2. Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers. 7.NS.2a. 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 realworld 7.NS.2b. 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 7.NS.2c. Apply properties of operations as strategies to multiply and divide rational numbers. 7.NS.2d. 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. 7.NS.3. Solve real-world and mathematical problems involving the four operations with rational numbers. Enduring Understandings Essential Concepts and Process Skills The similarities and differences between rational and irrational numbers. The effects that negative integers have on other negative integers and positive integers. The importance of building a strong foundation in integer operations to assist in their future math classes. The effect of multiplying and dividing decimals on the decimal placement. The understanding of part and whole relationships as they apply to fractions. Calculate with negative and positive integers Utilize the "Magic Triangle" to assist when multiplying and dividing integers Calculate with decimals (varied decimal placements) Calculate with fractions (proper, improper and mixed) Essential Questions
Page 3 of 5 What is the difference between rational and irrational numbers? What happens to a positive number when added to an additional positive number? To a negative number? What happens to a negative number when added to an additional negative number? To a positive number? What is the outcome when a negative number is multiplied/divided with another negative number? To a positive number? What are the proper steps to calculate decimals with varied decimal placement? What are the proper steps to calculate fractions when mixed and improper fractions are used? Integration Opportunities P21: 21st Century Student Outcomes, P21: K-12, Learning & Innovation Skills Work Creatively with Others Additional Integration Opportunities 7.TT.1.3 -- Use appropriate technology tools and other resources to design products to share information with others. Develop, implement and communicate new ideas to others effectively Solve Problems Solve different kinds of non-familiar problems in both conventional and innovative ways Collaborate with Others Demonstrate ability to work effectively and respectfully with diverse teams P21: 21st Century Student Outcomes, P21: K-12, Life & Career Skills Be Flexible Deal positively with praise, setbacks and criticism Initiative and Self-Direction Manage Goals and Time Utilize time and manage workload efficiently Work Independently Monitor, define, prioritize and complete tasks without direct oversight Be Self-directed Learners Demonstrate commitment to learning as a lifelong process Character Qualities Differentiation/Intervention Focus Areas Respect
Page 4 of 5 Self-discipline Responsibility Integrity Cooperation Trustworthiness Trustworthiness use of counters to show integer rules use of number lines to show integer rules use decimal mats to aid in adding and subtracting decimals Magic Triangle instruction "Copy-Dot-Flop" instruction activities for remediation, if needed Formative/Benchmark/Summative Assessment Plan Pre-Assessment: Rational Numbers Pre Assessment: Test: Pre Test Integer Operations Poster Formative: Project: Collaborative/Team Students will work in collaborative groups to make a poster explaining how to perform each operation on a given set of integers. Quiz: Integers Students will demonstrate ability to perform the four basic mathematical operations with integers. Quiz: Decimals Students will demonstrate ability to perform the four basic mathematical operations with decimals. Quiz: Multiplying and Dividing Fractions Students will demonstrate ability to multiply and divide fractions. Quiz: Adding and Subtracting Fractions Students will demonstrate ability to add and subtract fractions. Rational Numbers Test Summative: Test: Post Test Professional Teaching Standards NC Professional Teaching Standards, All Levels, Professional Teaching Standards STANDARD II: TEACHERS ESTABLISH A RESPECTFUL ENVIRONMENT FOR A DIVERSE POPULATION OF STUDENTS Teachers provide an environment in which each child has a positive, nurturing relationship with caring adults. Teachers treat students as individuals. STANDARD III: TEACHERS KNOW THE CONTENT THEY TEACH Teachers align their instruction with the North Carolina Standard Course of Study. Teachers know the content appropriate to their teaching specialty.
Page 5 of 5 STANDARD IV: TEACHERS FACILITATE LEARNING FOR THEIR STUDENTS Teachers plan instruction appropriate for their students. Teachers use a variety of instructional methods. Teachers integrate and utilize technology in their instruction. Teachers help students work in teams and develop leadership qualities. Teachers use a variety of methods to assess what each student has learned. STANDARD V: TEACHERS REFLECT ON THEIR PRACTICE Teachers analyze student learning. Last Updated: Tuesday, September 4, 2012, 5:30AM Rubicon International 2012. All rights reserved Atlas Version 7.2.6