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Algebra 1 Name:___________________________________ Chapter 2: Properties of Real Numbers Big Ideas 1. I can perform operations with real numbers 2. I can apply properties of real numbers. 3. I can classify and reason with real numbers. Student-Friendly Learning Target Statements Knowledge Targets “What I need to know!” ○ I know the definition of these terms ○ Whole numbers ○ ○ Integers ○ Rational number ○ Opposites ○ Absolute value ○ Equivalent expressions ○ ○ Distributive property ○ Terms ○ Coefficient ○ Constant term ○ Like terms ○ Multiplicative inverse (Reciprocal) ○ ○ Square root ○ ○ Irrational number ○ ○ Real Numbers ○ ○ Properties of Addition ● Commutative property ● Associative property ● Identity property ● Inverse property Properties of Multiplication ● Commutative property ● Associative property ● Identity property ● Property of Zero ● Property of -1 ● Inverse Additive inverse Additive identity Radicand Perfect square Radical ○ I can classify a number as an irrational number, rational number, an integer, and/or a whole number. (2.1) ○ I can order rational numbers from least to greatest. (2.1) ○ I can explain the difference between having a zero in the numerator and a zero in the denominator. (2.6) Reasoning Targets “What I can do with what I know.” ○ I know how to graph and compare rational numbers. (2.1) ○ I know how to find the absolute value and opposite of a number. (2.1) ○ I know how to add rational numbers and change a subtraction problem into an addition problem. (2.2-2.3) ○ I can apply the distributive property to simplify an expression or solve an equation. (2.5) ○ I can identify and combine like terms to simplify an expression. (2.5) ○ I know how to multiply and divide rational numbers. (2.5-2.6) ○ I know how to evaluate and approximate square roots. (2.7) Algebra 1 Skills Targets “What I can demonstrate.” Name:___________________________________ ○ I can apply the properties of addition and multiplication to simplify expressions and solve problems. (2.2-2.4) ○ I can simplify expressions involving division. (2.6) ○ I can solve story problems involving rational number operations. (2.1-2.7) Unit Plan Topic Use Integers and Rational Numbers Activity/Assignment/Assessment Number line activity, skills practice & Venn diagrams HW 2.1 pg 68 #15, 17, 21, 23, 27, 31, 35, 41-49 odd, 53-57 all p72 #1-9 odds Add and Subtract Real Numbers Add & Subtract Real Numbers Activity, History of Math WS, Review Properties of Addition, & Skills Practice HW 2.2 pg 77 #24, 25, 33, 35, 39, 41, 48, 49, 53-56 2.3 pg 82 #15, 16, 17, 21, 24, 33, 35, 42-44, 46 Multiplying Real Numbers & Distributive Property Review Properties of Multiplication, Distributive Property, and Skills Practice Dividing Real Numbers and Radicals, Perfect Squares and Approximations Notes for division of real numbers and square roots, Skills Practice Assessment Review HW 2.4 pg 91 #3-13 odd, 29-33 odd, 43, 44, 50-53 all 2.5 pg 99 #5, 7, 9, 13, 15, 17, 23, 25, 29, 31, 39, 47, 48, 51-53 all HW 2.6 p106 #3-17 odd,24,31, 33-41 odd,42,43,52,53,55 HW 2.7 pg 113 #3-29 odd, 35-41 odd,47-52 all Chapter 2 Test Score Notes/Reminders