ABSTRACT REPRESENTATIONS Applying the Operations Applying Properties of Numbers Applying the standard algorithms for addition, subtraction, multiplication, and division p q = p + (-q) Applying Properties of Numbers – p - -q = p + q Common Core Standards Expressions and Equations – GRADE 6 EXPRESSIONS AND EQUATIONS CONTENT Write and evaluate numerical expressions involving whole-number 6.EE.1 CALCULATOR exponents. (SLO 2) ALLOWED Write, read, and evaluate expressions in which letters stand for numbers. Write expressions that record operations with numbers and with letters standing for numbers. For example, express the from as 5 y. calculation “Subtract y 5” – 6.EE.2a – Identify parts of an expression using mathematical terms CALCULATOR (sum, term, product, factor, quotient, coefficient); view one ALLOWED or more parts of an expression as a single entity. For example, describe the expression 2 (8 + 7) as a product of 6.EE.2 6.EE.2b – two factors; view (8 + 7) as both a single entity and a sum of (SLO 1, CALCULATOR NOT two terms. SLO 3) ALLOWED Evaluate expressions at specific values of their variables. Include expressions that arise from formulas used in 6.EE.2c – problems. Perform arithmetic operations, including CALCULATOR those involving whole-number exponents, in the ALLOWED conventional order when there are no parentheses to specify a particular order (Order of Operations). For example, use the formulas V = s3 and A = 6 s2 to find the volume and surface area of a cube with sides of length s = 1/2. Apply the properties of operations to generate equivalent expressions. For example, apply the distributive property to the expression 3 (2 + x) to produce the equivalent expression 6 + 3x; CALCULATOR NOT 6.EE.3 apply the distributive property to the expression 24x + 18y to (SLO 4) ALLOWED produce the equivalent expression 6 (4x + 3y); apply properties of operations to y + y + y to produce the equivalent expression 3y. 6.EE.4 Identify when two expressions are equivalent (i.e., when the two CALCULATOR NOT
ABSTRACT REPRESENTATIONS Applying the Operations Applying Properties of Numbers Applying the standard algorithms for addition, subtraction, multiplication, and division Applying Properties of Numbers p – q = p + (-q) p - -q = p + q Common Core Standards – Expressions and Equations GRADE 6 EXPRESSIONS AND EQUATIONS CONTENT 6.EE.1 (SLO 2) Write and evaluate numerical expressions involving whole-number exponents. CALCULATOR ALLOWED 6.EE.2 (SLO 1, SLO 3) Write, read, and evaluate expressions in which letters stand for numbers. Write expressions that record operations with numbers and with letters standing for numbers. For example, express the calculation “Subtract y from 5” as 5 – y. Identify parts of an expression using mathematical terms (sum, term, product, factor, quotient, coefficient); view one or more parts of an expression as a single entity. For example, describe the expression 2 (8 + 7) as a product of two factors; view (8 + 7) as both a single entity and a sum of two terms. Evaluate expressions at specific values of their variables. Include expressions that arise from formulas used in problems. Perform arithmetic operations, including those involving whole-number exponents, in the conventional order when there are no parentheses to specify a particular order (Order of Operations). For example, use the formulas V = s3 and A = 6 s2 to find the volume and surface area of a cube with sides of length s = 1/2. 6.EE.2a – CALCULATOR ALLOWED 6.EE.2b – CALCULATOR NOT ALLOWED 6.EE.2c – CALCULATOR ALLOWED 6.EE.3 (SLO 4) Apply the properties of operations to generate equivalent expressions. For example, apply the distributive property to the expression 3 (2 + x) to produce the equivalent expression 6 + 3x; apply the distributive property to the expression 24x + 18y to produce the equivalent expression 6 (4x + 3y); apply properties of operations to y + y + y to produce the equivalent expression 3y. CALCULATOR NOT ALLOWED 6.EE.4 Identify when two expressions are equivalent (i.e., when the two CALCULATOR NOT
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