NMPED9/8/15
Theme:
Solving Linear Equations
Class/Subject: Pre-Algebra
Week of Sept 14-18
Length of Unit:
Unit Standards
Content Standards
Designer: Montoya
8.EE.7, 8.EE.7a
CCSS Math
Expressions and Equations 8.EE
Analyze and solve linear equations and
pairs of simultaneous linear equations.
7. Solve linear equations in one variable.
1. Give examples of linear equations in
one variable with one solution, infinitely
many solutions, or no solutions. Show
which of these possibilities is the case by
successively transforming the given
equation into simpler forms, until an
equivalent equation of the form x = a, a =
a, or a = b results (where a and b are
different numbers).
CCSS More Math
CCSS Other (Math, Listening and Speaking)
2. Solve linear equations with rational number
coefficients, including equations whose
solutions require expanding expressions using
the distributive property and collecting like
terms.
WIDA/ELD Standards 2012
Acquire and use accurately grade-appropriate
general academic and domain-specific words
and phrases; gather vocabulary knowledge
when considering a word or phrase important
to comprehension & expression
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Week of Aug 31, 2015 – 8th Math
NMPED9/8/15
Essential Questions:
Students will keep considering…
(meant to be explored,
revised, meant to provoke
thought in students,
genuine questions, various
possible answers)
Concepts
Skills
Students will know…
1. How to use the order of operations when solving equations
2. How to solve equations by using PEMDAS backwards
3. That inverse operations “undo” each other
4. That addition and subtraction are inverse operations
5. That multiplication and division are inverse operations
6. That they must do the same thing to both sides of an equation
to keep it balanced.
Students will be skilled at…
● Using inverse operations to solve one-step equations
Academic Language (Tier 1, 2, 3 vocabulary):
 simplify

 evaluate

 inverse operation

 equation

 expression

 coefficient
Resources:
Pearson Mathematics Course 3 Common Core
Other vocabulary
Variable
Constant
Term
Like terms
Isolate the variable
Text Connections:
2
Week of Aug 31, 2015 – 8th Math
NMPED9/8/15
Student workbook
Learning Target Statements: (Student-Friendly)
Level 1 Knowledge
Learning Targets
Recall/Reproduction
1. I can identify an unknown and a variable
2. I can list the problem solving steps necessary to solve a onestep equation
Level 2 Knowledge
Learning Targets
Skills/Concepts
1. I can explain what inverse operations are
2. I can use inverse operations to solve equations
3. I can solve a one-step equation
4.
Level 3 Knowledge
Learning Targets
1. I can use information given in a problem to write an
equation
2. I can explain how to isolate a variable
3. I properly use the problem solving steps
Strategic
Thinking/Complex
reasoning
Level 4 Knowledge
Learning Targets
1. I can use equations to solve real-world problems
2. I can solve one-step word problems
Assessments: Formative (F) and Summative (S)
1. Do Now questions and Summaries (F)
2. Classwork and notes (F)
3. Oral response (F)
4. Teacher observation (F)
5. Written assignments (F/S)
1. Do Now questions and Summaries (F)
2. Classwork and notes (F)
3. Oral response (F)
4. Teacher observation (F)
5. Written assignments (F/S)
1. Do Now questions and Summaries (F)
2. Classwork and notes (F)
3. Oral response (F)
4. Teacher observation (F)
5. Written assignments (F/S)
1. Do Now questions and Summaries (F)
2. Classwork and notes (F)
Extended
Thinking/Reasoning
Ideas for Differentiating
3
Week of Aug 31, 2015 – 8th Math
NMPED9/8/15
● Study hall, resource room, individual help, peer tutoring
(Must include a
Hook, Closure, and
Assignments)
M
9-14
T
9-15
● Shorter assignments
● Graphic organizers
● Foldable
● Repeated directions & explanations
● Grouping – pairs, small groups
DO NOW: Write down everything you know about solving equations. Share with your partner and combine ideas into one
list. Share with the class
LEARNING TARGET: [8.EE.7/8.EE.7b]
I can use properties of operations to simplify expressions
I can use algebraic equations to solve problems
AGENDA:
Hand out textbooks & textbook checkout forms
Hand back tests from last week that need to be finished
Hand out expressions worksheet.
Finish test(s) first, then work on expressions worksheet
ASSIGNMENT:
•finish expressions worksheet
EXIT: What does the expression 12 + x equal when x = 15?
DO NOW: What is the difference between an expression and an equation? Discuss with your partner.
LEARNING TARGET: [8.EE.7/8.EE.7b]
I can use properties of operations to simplify expressions
I can use algebraic equations to solve problems
AGENDA:
• Make a foldable with 4 sheets of paper
 Goal of solving an equation = ISOLATE THE VARIABLE
 Examples of addition equations for foldables – show steps
4
Week of Aug 31, 2015 – 8th Math
NMPED9/8/15
W
9-16
TH
9-17
 **circle the variable, underline the operation to be undone first
 Examples of subtraction equations for foldables – show steps
 When solving equations – ALWAYS SHOW ALL STEPS
ASSIGNMENT:
•none
EXIT: solve: x + 23 = 51
DO NOW: solve: x – 18 = 47
LEARNING TARGET: [8.EE.7/8.EE.7b]
I can use properties of operations to simplify expressions
I can use algebraic equations to solve problems
AGENDA:
Use foldable to complete 2 worksheets
Worksheet – addition equations
Worksheet – subtraction equations
ASSIGNMENT:
Finish both worksheet
EXIT: explain (in writing in your journal) why you must do the same thing to both sides of an equation
DO NOW: solve: x + 67 = 34
LEARNING TARGET: [8.EE.7/8.EE.7b]
I can use properties of operations to simplify expressions
I can use algebraic equations to solve problems
AGENDA:
Hand in addition & subtraction worksheets
Examples of multiplication equations for foldables
Multiplication practice - worksheet
ASSIGNMENT:
Multiplication worksheet
EXIT: solve 6y = 90
5
Week of Aug 31, 2015 – 8th Math
NMPED9/8/15
F
9-18
DO NOW: solve: x/6 = 38 discuss with your partner how you could check your answer to an equation
LEARNING TARGET: [8.EE.7/8.EE.7b]
I can use properties of operations to simplify expressions
I can use algebraic equations to solve problems
AGENDA:
Hand in multiplication worksheet
Examples of division equations for foldables
Practice – division worksheet
ASSIGNMENT:
Finish division worksheet
EXIT: turn your foldable in as you leave – make sure it is complete and has your name and class period on it.
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Week of Aug 31, 2015 – 8th Math