Download Alg. Exp - Gateway Regional School District

~ Gateway Regional School District~
Unit Plan
(revised 2/15/13)
Content Area: Go Math!
Unit 7: Algebra: Expressions
Grade(s): 6
Time Line: 12 days
Date: December-January
Domain/Content Standard(s): Expressions and Equations CC.6.EE.1,2(a,b,c),3,4,6
Stage 1: Desired Results
Established Goals:
CCSS.6.EE.1 Write and evaluate numerical expressions involving whole­number exponents. CCSS.6.EE.2 Write, read, and evaluate expressions in which letters stand for numbers. CCSS.6.EE.2a 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. CCSS.6.EE.2b 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. CCSS.6.EE.2c Evaluate expressions at specific values of their variables. Include expressions that arise from formulas used in real­world problems. Perform arithmetic operations, including those involving whole­number 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. CCSS.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. CCSS.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.. CCSS.6.EE.6 Use variables to represent numbers and write expressions when solving a real­world or mathematical problem; understand that a variable can represent an unknown number, or, depending on the purpose at hand, any number in a specified set. Transfer:
7.1 Write and find the value of expressions involving exponents.
Exponents COMMON CORE CCSS.6.EE.1
LT: I can write expressions involving exponents.
LT: I can determine the value of expressions involving exponents.
7.2 Use the order of operations to evaluate expressions involving exponents.
Evaluate Expressions Involving Exponents COMMON CORE CCSS.6.EE.1
LT: I can use the order of operations to evaluate expressions involving exponents.
7.3 Write an algebraic expression to represent a situation.
Write Algebraic Expressions COMMON CORE CCSS.6.EE.2a
LT: I can write algebraic expressions to represent a situation.
-I can define variable
7.4 Describe the parts of an expression.
Identify Parts of Expressions COMMON CORE CCSS.6.EE.2b LT: I can describe the parts of n expression. 7.5 Evaluate an algebraic expression or a formula.
Evaluate Algebraic Expressions and Formulas COMMON CORE CCSS.6.EE.2c LT: I can evaluate an algebraic expression. LT: I can evaluate a formula. 7.6 Use variables and algebraic expressions to solve problems.
Use Algebraic Expressions COMMON CORE CCSS.6.EE.6 LT: I can use variables and algebraic expressions to solve problems. 7.7 Use the strategy use a model to combine like terms.
Problem Solving-Combine Like Terms COMMON CORE CCSS.6.EE.3
LT: I can solve mathematical problems
-I can determine what is being asked in a problem
-I can combine like terms
-I can use a model to simplify an expression
7.8 Use properties of operations to write equivalent algebraic expressions.
Generate Equivalent Expressions COMMON CORE CCSS.6.EE.3 LT: I can use the commutative property of addition and multiplication to generate equivalent algebraic
expressions.
LT: I can use the distributive property to generated equivalent algebraic expressions.
LT: I can use the associative property of addition and multiplication to generate equivalent algebraic expressions.
LT: I can use the identity property of addition and multiplication to generate equivalent algebraic expressions.
7.9 Identify equivalent algebraic expressions.
Identify Equivalent Expressions COMMON CORE CCSS.6.EE.4 LT: I can identify equivalent algebraic expressions. COMMON CORE CC.3.OA.1 Also CC.3.OA.3, CC.3.OA.7, CC.3.NBT.2I I Meaning:
Students will understand how to:
write and find the value of expressions involving exponents
use the order of operations to evaluate expressions involving exponents
write an algebraic expression to represent a situation
describe the parts of an expression
evaluate an algebraic expression or a formula
use variables and algebraic expressions to solve problems
use the strategy use a model to combine like terms
use properties of operations to write equivalent algebraic expressions
identify equivalent algebraic expressions
Essential Question:
How can you write, interpret, and use algebraic expressions?
Acquisition:
Students will know…
how to write and evaluate expressions involving exponents using the order of operations; write, identify, evaluate,
and describe algebraic expressions, use algebraic expressions to solve problems, combine like terms by using a
model, and use properties of operations to create and identify equivalent algebraic expressions.
Students will be skilled at…
writing, evaluating, identifying, and describing algebraic expressions using the order of operations, and using
properties of operations to create and identify equivalent algebraic expressions.
Vocabulary/factual knowledge
algebraic expression- an expression that contains at least one variable
base- a number used as a repeated factor
coefficient- a number that is multiplied by a variable
equivalent expressions- expressions that are equal to each other for any values of their variables
evaluate- to find the value of an expression
exponent- a number that tells how many times a base is used as a factor
like terms- terms that have the same variables with the same exponents
numerical expression- a mathematical phrase that uses only numbers and operation signs
order of operations- a special set of rules which gives the order in which calculations are done in an expression
terms- the parts of an expression that are separated by an addition or subtraction sign
variable- a letter or symbol that stands for an unknown number or numbers
Stage 2: Evidence
Assessment/Evidence of Learning:
levels
examples/blooms
(Curriculum embedded performance assessment)
Mid-Chapter Checkpoint, Chapter 7 Review/Test, Chapter 7 Test Form A (on-line), Chapter 7 Test Form B
short-answer (paper and pencil), corresponding MCAS open-response questions
Performance tasks
Embedded differentiated performance activities included in curriculum (critical area project)
Real time whiteboard evaluations.
Other evidence:
Teacher observations
Stage 3: Learning Plan
Summary of:
Learning activities, strategies for instruction (include remediation and enrichment
opportunities/differentiated instruction)
7.1 Students write and evaluate expressions involving exponents.
7.2 Students use the order of operations to evaluate expressions involving exponents.
7.3 Students write algebraic expressions.
7.4 Students identify and describe parts of expressions.
7.5 Students evaluate algebraic expressions and formulas.
7.6 Students use algebraic expressions to solve problems.
7.7 Students combine like terms by applying the strategy use a model.
7.8 Students use the properties of operations to generate equivalent algebraic expressions.
7.9 Students identify equivalent algebraic expressions.
Problem Based Learning Activity:
Critical Area Project: The Great Outdoors
Blooms Level
Instructional Tools, Resources, 21st Century Skill(s) Component
iTools, Mega Math, Animated Math Models, Whiteboards, Real World Math Videos, Student Edition Go Math
Workbook, Standards Practice Book
Stage 4: Reflection
Unit Outcome:
Notes for changes: