MATHEMATICS Subject/Grade or Course: Math Grade 7Unit Name: Rational Number Operations addition and subtraction Pacing: Major (m) Common Core Standards for Supporting and Additional (s/a) Common Bridging Common Core Standards from the Unit: Core Standards for the Unit: Previous Grade(s): • • • • • • • • • • • • • • • MATHEMATICS Subject/Grade or Course: Math Grade 7Unit Name: Rational Number Operations addition and subtraction Common Core Major (m) Standard # from above: Apply and extend previous understandings of operations with fractions to add and subtract rational numbers. Common Core Supporting / Additional (s/a) Standards # from above: • Add and subtract rational numbers • Measures of central tendency w/signed numbers • Common Core Bridging Standards from Previous Grade(s)# from above: • • • Structure of Math / Overarching Understanding(s): • Students will develop a deep conceptual understanding of adding and subtracting ALL rational numbers. • Students will understand how the properties and operations are the same with all types of rational numbers. Learning Targets 1. 2. 3. 4. 7.NS.1.a 7.NS.1.b 7.NS.1.c 7.NS.1.d Additional/Supporting 1. 7.SP.3 2. 7.SP.4 Pacing: Essential Questions: • In what situations would I add or subtract signed numbers? • What are the rules for adding or subtracting signed numbers? • What is a rational number? • How are the properties the same or different for all forms of rational numbers? STUDENT-FRIENDLY LEARNING TARGET STATEMENTS 1. I can give real-world examples of the occurrence of opposite quantities combining to make 0. 2.a. I can demonstrate addition of rational numbers on a number line using the concept of absolute value. b. I can show that a number and its opposite have a sum of zero. c. I can explain the meaning of a sum of rational numbers in real-world situations. 3.a. I understand that subtracting a number is the same as adding its opposite. b. I can demonstrate subtraction of rational numbers on a number line using the concept of absolute value. c. I can explain the meaning of a difference of rational numbers in real-world situations. 4.a. I can use the commutative, associative, identity and zero properties to create and solve a simpler problem. b. I can justify the use of a number property to add and subtract rational numbers. 1. I can interpret data that uses signed numbers 2. I can find measures of central tendency using signed numbers 1. Claim #1/DOK 1, 2, 3, 4 (circle one): Students add or subtract signed numbers 3+ (-4) = -1 ± a ± b = c where a and b are rational numbers 2. Claim #2/DOK 1, 2, 3, 4 (circle one): If I am 3 under par and then 7 over par, what is my golf score? MATHEMATICS Subject/Grade or Course: Math Grade 7Unit Name: Rational Number Operations addition and subtraction Pacing: The temperature was 45.2 degrees F at noon. By midnight it had dropped to -23.7 degrees F. How much had the temperature changed? scuba diving—why is going from -4 feet to -16 feet a positive number, justify the correct answer and why, 3. ordering signed numbers, golf, single business transactions, temperature, altitude, government debt, etc. 4. Claim #3/DOK 1, 2, 3, 4 (circle one): Given a set of positive and negative addition and subtractions and justify why in each case the answer is either positive or negative. 3+4= 3 + (-4) = 3–4= 3 – (-4) = Explain in 3 different ways why going from 3 to -4 is -1. Choose which one is the best way and justify why you picked that one. 5. Claim #4/DOK 1, 2, 3, 4 (circle one): football questions, multiple step/multiple properties problem solving, balancing checkbook, Materials/Resources Teacher Notes