Download BCSD Unit Planning Organizer Grade 6 GT

BCSD Unit Planning Organizer
Grade 6 GT – Unit 9 – Expressions, Equations, and Inequalities
2016-2017
Subject: Mathematics
Unit: Expressions, Equations, and Inequalities
Grade: 6 GT
Pacing: 13 days Instruct/Assess
2 days ERI
Total: 15 days
Essential Question(s):
1. How does rewriting an expression help you think about a situation in a new way?
2. How does rewriting an equation or inequality help you think about the relationship in a new way?
3. How can you make very large or very small measurements easy to use and compare?
Big Idea(s):
1. Any number, measure, numerical expression, or algebraic expression can be represented in an infinite
number of ways that have the same value.
2. Equations and inequalities can be used to model and understand real world situations involving
relationships between values that may change.
3. Using exponent rules can help to simplify and compare very large or very small numbers.
Priority Standards
Supporting Standards
7.EEI.5 - Understand and apply the laws of exponents (i.e., product rule, quotient rule, power to a
power, product to a power, quotient to a power, zero power property) to simplify numerical
expressions that include whole-number exponents.
7.EEI.1 - Apply mathematical properties (e.g., commutative, associative, distributive) to simplify and to factor
linear algebraic expressions with rational coefficients.
7.EEI.2 - Recognize that algebraic expressions may have a variety of equivalent forms and determine an
appropriate form for a given real-world situation.
7.EEI.4 - Apply the concepts of linear equations and inequalities in one variable to real-world and
mathematical situations.
a. Write and fluently solve linear equations of the form 𝒂𝒙 + 𝒃 = 𝒄 and 𝒂(𝒙 + 𝒃) = 𝒄, where
𝒂, 𝒃, and 𝒄 are rational numbers.
b. Write and solve multi-step linear equations that include the use of the distributive property
and combining like terms. Exclude equations that contain variables on both sides.
c. Write and solve two-step linear inequalities. Graph the solution set on a number line and
interpret its meaning.
7.EEI.3 - Extend previous understanding of Order of Operations to solve multi-step real-world and
mathematical problems involving rational numbers. Include fraction bars as a grouping symbol.
7.EEI.4 - Apply the concepts of linear equations and inequalities in one variable to real-world and
mathematical situations.
d. Identify and justify the steps for solving multi-step linear equations and two-step linear
inequalities.
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BCSD Unit Planning Organizer
Grade 6 GT – Unit 9 – Expressions, Equations, and Inequalities
“Unwrapped” Concepts and Skills, and Cognitive Demand Level
Concepts to know
Skills to do
Cognitive Demand
Clarification
7.EEI.5 - Understand and apply the laws of exponents (i.e., product rule, quotient rule, power to a
power, product to a power, quotient to a power, zero power property) to simplify numerical
expressions that include whole-number exponents.
laws of exponents
Understand and apply
BT: Apply
DOK: 1
numerical expressions
that include wholenumber exponents
simplify
BT: Apply
DOK: 2
7.EEI.4 - Apply the concepts of linear equations and inequalities in one variable to real-world and
mathematical situations.
a. Write and fluently solve linear equations of the form ax+b=c and a(x+b)=c, where a, b, and c are
rational numbers.
b. Write and solve multi-step linear equations that include the use of the distributive property and
combining like terms. Exclude equations that contain variables on both sides.
c. Write and solve two-step linear inequalities. Graph the solution set on a number line and interpret
its meaning.
concepts of linear
equations and
inequalities in one
variable to real-world
and mathematical
situations
apply
BT: Apply
DOK: 1
linear equations
write, solve
BT: Apply
DOK: 1
multi-step linear
equations
write, solve
BT: Apply
DOK: 2
two-step linear
inequalities
write, solve
BT: Apply
DOK: 2
solution sets on a
number line
graph, interpret
BT: Apply
DOK: 2
Vocabulary
Mathematically proficient students communicate precisely by engaging in discussion about their reasoning using
appropriate mathematical language. The terms students should learn to use with increasing precision within this
unit are listed below.
Expressions, Equations, and Inequalities: factor, exponent, expression, coefficient, distribute, like-terms,
product rule, quotient rule, power to a power, product to a power, quotient to a power, zero power property,
inequality, binomial, equation, coefficient, distribute
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BCSD Unit Planning Organizer
Grade 6 GT – Unit 9 – Expressions, Equations, and Inequalities
Required Resources
Supplemental Resources
Digits by Pearson
Explore Learning – Gizmos (www.explorelearning.com)
Suggested Gizmos:
 Exponents and Power Rules
 Distance Time
 Elevator Operator
 Exploring Linear Inequalities
Math Innovations
NCTM Illuminations
Math Assessment Project – map.mathshell.org
Puffin Academy (Educational Web-browser for
Digits access)
MobyMax.com
Problem-attic.com
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