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Number Sense β 7 days Lesson Topics Integer Operations ***REVIEW UNIT Objective Example Problems Add, Subtract, Multiply and Divide Integers. Common Core Standards 5 + 12 β 30 -10 -3(-2)(-5) Classify Numbers Use the Real Number System to classify numbers. (NEW Core concept β see example problem) Basic Ex. 1: -6: Real, Rational, Integer Core Ex. 2: 1 3 5 + = (Rat. + Rat. = Rat). 2 4 4 7 + π = 7 + 3.14 β¦ . = 10.14 β¦ (Rat. + Irrat. = Irrat.) 2π(4) = 8π (IrratβRat.= Irrat.) Core Ex. 3: What type of measurements would one use to determine their income and expenses for one month? Ans: Rational #βs Infinite and Finite Determine whether a set of numbers is infinite or finite. Determine if the set is infinite or finite. {π₯ Ο΅ whole numbers|3 < x < 10} HS.N-RN.3 Explain why the sum or product of two rational numbers are rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational. HS.N-Q.2. Define appropriate quantities for the purpose of descriptive modeling. 2008 State Standards MA09-S01-C02-02 Summarize the properties of and connections between real number operations; justify manipulations of expressions using the properties of real number operations. MA09-S01-C01-01 Justify with examples the relation between the number system being used (natural numbers, whole numbers, integers, rational numbers and irrational numbers) and the question of whether or not an equation has a solution in that number system. MA09-S01-C02-02 Summarize the properties of and connections between real number operations; justify manipulations of expressions using the properties of real number operations. MA09-S01-C01-02 Sort sets of numbers as finite or infinite, and justify the sort. Order of Operations Apply the order of operations to simplify an expression (including distribution, combing like terms and absolute value) 3(π₯ + 3) β 5π₯ β 2 1 (4π₯ + 6) β 2π₯ + 10 β 3 2 MA09-S01-C02-02 Summarize the properties of and connections between real number operations; justify manipulations of expressions using the properties of real number operations. These standards should be evident throughout the unit (may not be in each lesson). ο· HS.A-REI.1: Explain each step in solving a simple equation as following from the equality of numbers asserted at the previous step, starting from the assumption that the original equation has a solution. Construct a viable argument to justify a solution method. ο· HS.A-SSE.1: Interpret expressions that represent a quality in terms of its context. a. Interpret parts of an expression, such as terms, factors and coefficients.