Download Module 2 Lesson 3 Solving Equations Power Point

I can use an equation to
find an unknown value.
Module 2: Expressions and Equations
Lesson 3: Solving Equations
Lesson Learning Target
I can use an equation to find an
unknown value.
A mathematical sentence that
shows two expressions are
equivalent. MUST contain an equal
sign.
The number assigned to a variable
Lesson Learning Target
I can use an equation to find an
unknown value.
 Take a minute to look over the
video questions before you
watch.
 As you watch, think about the
answers to the questions.
 Give one, Get one: Discuss the
answers with your classmates.
Try to speak with as many
different people as you can.
Math Antics
Learning Targets
I can use an equation to find an unknown value.
 Learning Target 1: I can use substitution to determine what value makes
an equation true.
 Learning Target 2: I can use addition or subtraction to solve a one-step
equation with whole numbers.
 Learning Target 3: I can use addition or subtraction to solve a one-step
equation with decimals.
 Learning Target 4: I can use multiplication or division to solve a one-step
equation with whole numbers.
 Learning Target 5: I can use multiplication or division to solve one-step
equations with fractions.
 Lesson Learning Target: I can use an equation to find an unknown value.
To Replace
I can use substitution to determine what
value makes an equation true.
Learning Target 1
I can use substitution to determine what value
makes an equation true.
Learning Target 1
You’ll know you have a bullseye when you…
 Can explain what makes an
equation true.
 Can correctly identify which
number makes an equation true.
Learning
Target
1:
I
can
explain
what
an
exponent
does.
I can use substitution to determine what value
makes an equation true.
Learning Target 1
What makes an equation true?
True Equations False Equations
x + 3 = 5; x=2
6g = 30; g=5
z ÷ 7 = 4; z = 28
x + 6 = 10; x=3
10g = 20; g=9
z ÷ 2 = 8; z = 14
Learning
Target
1:
I
can
explain
what
an
exponent
does.
I can use substitution to determine what value
makes an equation true.
Learning Target 1
What makes an equation true?
An equation is true if both expressions on either side of
the equal sign have the same value.
Learning
Target
1:
I
can
explain
what
an
exponent
does.
I can use substitution to determine what value
makes an equation true.
Learning Target 1
 Use substitution to determine if each
equation true or false for the given variable?
1.) j + 3 = 9; j = 6 _____________
2.) k – 8 = 12; k = 21 _____________
3.) 2n = 18; n = 9 _____________
I can use substitution to determine what value
makes an equation true.
Learning Target 1
Practice
 Go for excellence. Complete as many as
you can in the given amount of time.
 You may rely on your partner or answer
key for help.
I Should Always…
• Remember both expressions on
either side of the equal sign must
have the same value.
Learning
Target
1:
I
can
explain
what
an
exponent
does.
I can use substitution to determine what value
makes an equation true.
Learning Target 1
Get ready to
rate your
understanding!
Get out your
plicker card!
I can use substitution to determine what value
makes an equation true.
Learning Target 1
 Rate your understanding of
this learning target:
 4 = 4 correct
 3 = 3 correct
 2 = 2 correct
 1 = 1 correct
What is an
equation?
I can use addition or subtraction to solve a
one-step equation with whole numbers.
Learning Target 2
I can use addition or subtraction to solve a
one-step equation with whole numbers.
Learning Target 2
You’ll know you have a bullseye
when…
Can identify the inverse
operations of addition and
subtraction.
Can find the value of a variable
in a one-step equation.
Learning
Target
1: I can
what an
I can use
addition
orexplain
subtraction
to exponent
solve a does.
one-step equation with whole numbers.
Learning Target 2
Follow along with Rob as he
uses addition and subtraction to
solve equations.
When Rob solves a problem, you
will solve the problem on your
white board too!
Solving Basic
Equations 1
Learning
Target
1: I can
what an
I can use
addition
orexplain
subtraction
to exponent
solve a does.
one-step equation with whole numbers.
Learning Target 2
Inverse Operations:
An operation that “un-does” another operation.
The inverse of addition is subtraction.
The inverse of subtraction is addition.
I can use addition or subtraction to solve a
one-step equation with whole numbers.
Learning Target 2
Inverse Operations
 The tool we use to solve equations.
1.)
x + 6 = 15
2.)
g – 7 = 19
3.)
8 + f = 13
Learning
Target
1: I can
what an
I can use
addition
orexplain
subtraction
to exponent
solve a does.
one-step equation with whole numbers.
Learning Target 2
Follow along with Rob as he
uses addition and subtraction to
solve equations.
When Rob solves a problem, you
will solve the problem on your
white board too!
Solving Basic
Equations 1
I can use addition or subtraction to solve a
one-step equation with whole numbers.
Learning Target 2
Practice
 Go for excellence. Complete as many as
you can in the given amount of time.
 You may rely on your partner or answer
key for help.
I Should Always…
• Use the inverse operation on both
sides of the equation.
• If the equation involves addition,
remember to use the
commutative property so the
variable goes first.
• Check my work by using
substitution
Learning
Target
1:
I
can
explain
what
an
exponent
does.
I can use addition or subtraction to solve a
one-step equation with whole numbers.
Learning Target 2
Get ready to
rate your
understanding!
Get out your
plicker card!
I can use addition or subtraction to solve a
one-step equation with whole numbers.
Learning Target 2
 Rate your understanding of
this learning target:
 4 = 4 correct
 3 = 3 correct
 2 = 2 correct
 1 = 1 correct
What is an
equation?
I can use addition or subtraction to solve
a one-step equation with decimals.
Learning Target 3
I can use addition or subtraction to solve
a one-step equation with decimals.
Learning Target 3
You’ll know you have a bullseye
when…
You can solve an equation with
decimals.
Learning
Target
1: I canor
explain
what anto
exponent
I can use
addition
subtraction
solve adoes.
one-step equation with decimals.
Learning Target 3
What is important to remember
when I add and subtract
decimals?
 When I add and subtract decimals, I need
to remember to line up the decimals.
 Whole numbers:
 9 = 9.0
 10 = 10.0
 1 = 1.0
Learning
Target
1: I canor
explain
what anto
exponent
I can use
addition
subtraction
solve adoes.
one-step equation with decimals.
Learning Target 3
I Should Always…
Practice
 Go for excellence. Complete as many as
you can in the given amount of time.
 You may rely on your partner or answer
key for help.
• Use the inverse operation on both
sides of the equation.
• Line up the decimals
• If the equation involves addition,
remember to use the
commutative property so the
variable goes first.
• Check my work by using
substitution
Learning
Target
1: I canor
explain
what anto
exponent
I can use
addition
subtraction
solve adoes.
one-step equation with decimals.
Learning Target 3
Get ready to
rate your
understanding!
Get out your
plicker card!
I can use addition or subtraction to solve a
one-step equation with decimals.
Learning Target 3
 Rate your understanding of
this learning target:
 4 = 4 correct
 3 = 3 correct
 2 = 2 correct
 1 = 1 correct
What is an
equation?
I can use multiplication or division to solve a
one-step equation with whole numbers.
Learning Target 4
I can use multiplication or division to solve a
one-step equation with whole numbers.
Learning Target 4
You’ll know you have a bullseye
when…
Learning
Target
1: I can explain
what antoexponent
I can use
multiplication
or division
solve a does.
one-step equation with whole numbers.
Learning Target 4
Follow along with Rob as he
uses multiplication and division
to solve equations.
When Rob solves a problem, you
will solve the problem on your
white board too!
Solving Basic
Equations 2
Learning
Target
1: I can explain
what antoexponent
I can use
multiplication
or division
solve a does.
one-step equation with whole numbers.
Learning Target 4
Inverse Operations:
An operation that “un-does” another operation.
The inverse of multiplication is division.
The inverse of division is multiplication.
Learning
Target
1: I can explain
what antoexponent
I can use
multiplication
or division
solve a does.
one-step equation with whole numbers.
Learning Target 4
Inverse Operations
 The tool we use to solve equations.
 1.)
7x = 63
 2.)
𝑘
3
= 16
 3.)
𝑗
6
= 14
Learning
Target
1: I can explain
what antoexponent
I can use
multiplication
or division
solve a does.
one-step equation with whole numbers.
Learning Target 4
Practice
 Go for excellence. Complete as many as
you can in the given amount of time.
 You may rely on your partner or answer
key for help.
I Should Always…
• When a number and a variable
are pushed together, it means to
multiply. Example: 3x = 3 • x
• That a fraction line means to
𝑥
divide. Example: 2 = x ÷ 2
• To use the inverse operation on
both sides of the equation.
• To check my work by using
substitution
Learning Target 1: I can explain what an exponent does.
I can use multiplication or division to solve
a one-step equation with whole numbers.
Learning Target 4
Get ready to
rate your
understanding!
Get out your
plicker card!
I can use multiplication or division to solve a
one-step equation with whole numbers.
Learning Target 4
 Rate your understanding of
this learning target:
 4 = 4 correct
 3 = 3 correct
 2 = 2 correct
 1 = 1 correct
What is an
equation?
I can use multiplication or division to
solve one-step equations with fractions.
Learning Target 5
I can use multiplication or division to solve
one-step equations with fractions.
Learning Target 5
You’ll know you have a bullseye
when…
Learning
Target
1:
I
can
explain
what
an
exponent
does.
I can use multiplication or division to solve
one-step equations with fractions.
Learning Target 5
Keep-Change-Flip
 The tool we use to divide fractions.
1

4
2
3
÷ =
Learning
Target
1:
I
can
explain
what
an
exponent
does.
I can use multiplication or division to solve
one-step equations with fractions.
Learning Target 5
What does it mean when I see a fraction and a variable
pushed together?
 When I see a fraction and a variable pushed together it means to multiply
 Examples:
1.)
1
2
x = ________
2.)
1
3
y = ________
3.)
2
3
g = ________
Learning
Target
1:
I
can
explain
what
an
exponent
does.
I can use multiplication or division to solve
one-step equations with fractions.
Learning Target 5
What is the inverse of multiplication?
The inverse of multiplication is division.
Learning
Target
1:
I
can
explain
what
an
exponent
does.
I can use multiplication or division to solve
one-step equations with fractions.
Learning Target 5
Why do I need to use keep-change-flip when solving a
multiplication equation with fractions?
 I need to use keep-change-flip when solving a multiplication
equation with fractions because when I use the inverse operation, I
will divide fractions.
Learning
Target
1:
I
can
explain
what
an
exponent
does.
I can use multiplication or division to solve
one-step equations with fractions.
Learning Target 5
Examples:
1.)
1
2
x=5
2.)
1
3
y=
3
4
3.)
2
3
g=
1
2
Learning
Target
1:
I
can
explain
what
an
exponent
does.
I can use multiplication or division to solve
one-step equations with fractions.
Learning Target 5
Practice
 Go for excellence. Complete as many as
you can in the given amount of time.
 You may rely on your partner or answer
key for help.
I Should Always…
• Remember when a fraction and a
variable are pushed together, it
means to multiply.
• Use the inverse operation on both
sides of the equation.
• Use Keep-Change-Flip to divide
fractions.
• Check my work by using
substitution.
Learning
Target
1:
I
can
explain
what
an
exponent
does.
I can use multiplication or division to solve
one-step equations with fractions.
Learning Target 5
Get ready to
rate your
understanding!
Get out your
plicker card!
I can use multiplication or division to solve
one-step equations with fractions.
Learning Target 5
 Rate your understanding of
this learning target:
 4 = 4 correct
 3 = 3 correct
 2 = 2 correct
 1 = 1 correct
I can use an equation to find an
unknown value.
Lesson Learning Target
Learning
Target
1: I can explain
an exponent does.
I can use
an equation
to findwhat
an unknown
value.
Lesson Learning Target