6EE-Apply+and+extend+previous+understandings+of+arithmetic+to+algebraic+expressions

6.EE.1. Write and evaluate numerical expressions involving whole-number exponents. 6.EE.2.Write, read, and evaluate expressions in which letters stand for numbers. a. 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.// b. 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.// c. Evaluate expressions at specific values of their variables. Include expressions that arise from formulas used in real-world 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.3. 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.// 6.EE.4. Identify when two expressions are equivalent (i.e., when the two expressions name the same number regardless of which value is substituted into them). //For example, the expressions y + y + y and 3y are equivalent because they name the same number regardless of which number y stands for. Reason about and solve one-variable equations and inequalities.// || ===‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍**Anchor Standard/Mathematical Practice(s)**=== ===‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍**Learning Target/Task Analysis**===
 * ===**Common Core Standards**===
 * Reason abstractly and quantitatively.
 * Make sense of problems and persevere in solving them.
 * Construct viable arguments. ||
 * ===‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍**Information Technology Standard**=== || ===‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍**Revised Bloom's Level of thinking: Applying, Understanding, Analyzing, Evaluating**=== ||

Students demonstrate the meaning of exponents to write and evaluate numerical expressions with whole number exponents.

Order of operations with exponents is the focus in 6th grade

Students write expressions from verbal descriptions using letters and numbers, understanding order is important in writing subtraction and division problems. Students understand that the expression “5 times any number, n” could be represented with 5n and that a number and letter written together means to multiply. All rational numbers may be used in writing expressions when operations are not expected. Students use appropriate mathematical language to write verbal expressions from algebraic expressions. It is important for students to read algebraic expressions in a manner that reinforces that the variable represents a number.

Students can describe expressions such as 3 (2 + 6) as the product of two factors: 3 and (2 + 6). The quantity (2 + 6) is viewed as one factor consisting of two terms.

Students should identify the parts of an algebraic expression including variables, coefficients, constants, and the names of operations (sum, difference, product, and quotient).

Students evaluate algebraic expressions, using order of operations as needed.

Students understand that the fraction bar can also serve as a grouping symbol (treats numerator operations as one group and denominator operations as another group) as well as a division symbol.

Students use the distributive property to write equivalent expressions.

Students demonstrate an understanding of like terms as quantities being added or subtracted with the same variables and exponents.

Students can also generate equivalent expressions using the associative, commutative, and distributive properties. They can prove that the expressions are equivalent by simplifying each expression into the same form.

Students explore equations as expressions being set equal to a specific value.

Students write expressions to represent various real-world situations.

===‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍**I can...apply and extend previous understanding of arithmetic to algebraic expressions.**===


 * I can write and evaluate numbers using exponents.
 * I can solve order of operations problems including exponents.
 * I can write and evaluate problems using numbers, variables and operations.
 * I can generate and apply the properties of operations to solve problems.
 * I can recognize when two expressions are equivalent

exponents, base, numerical expressions, algebraic expressions,evaluate, sum, term, product, factor, quantity, quotient, coefficient, constant, like terms, equivalent expressions, variables

‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍**Sample Assessments**

 * Daily Spiral Review**
 * Signaling**
 * Questioning**
 * Teacher Observation**
 * Thinkgate**

‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍**Differentiation**
Teaching the Common Core Math Standards with Hands-On Activities: Find Which Does Not Belong (page 29) Teaching the Common Core Math Standards with Hands-On Activities: And It Equals (page 32) Teaching the Common Core Math Standards with Hands-On Activities: Presenting Properties (page 35) Teaching the Common Core Math Standards with Hands-On Activities: Partner Quiz (page 37) Quantiles 2

‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍**Intervention:**
Quantiles 1

‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍**Enrichment:**
Activities will be used from Instructional Resources List ===‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍**Instructional Resources:**===

Mathematics Station Activities for Common Core State Standards Grade 6 (pages 51, 60, 68, and 75) Carnegie Learning: Chapter 7, Chapter 8 DPI Indicators:Pages 18-19 Pages 51-52 DPI Strategies: Exponent Dice (page 24) Exponent Experts (Page 30) Quantiles 3 Quantiles 4 Unit Notes Unit Notes 2 Unit Notes 3 Distributive Property and GCF Venn Diagram Algebraic Expressions Worksheet

Notes/Examples
Practice 1 Practice 2 Practice 3

===‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍**Notes and Additional Information**===