Learning Target I will write and solve symbolic equations with one variable Homework packet p 58 1 Complete and Correct classwork 2 Complete p 8 puzzles Warm Up ID: 554433
Download Presentation The PPT/PDF document "MSA 3.3 – Writing Equations" is the property of its rightful owner. Permission is granted to download and print the materials on this web site for personal, non-commercial use only, and to display it on your personal computer provided you do not modify the materials and that you retain all copyright notices contained in the materials. By downloading content from our website, you accept the terms of this agreement.
Slide1
MSA 3.3 – Writing EquationsLearning Target: I will write and solve symbolic equations with one variable.Homework packet p. 5-8: 1) Complete and Correct classwork.2) Complete p. 8 puzzles.Warm Up:
Marta’s mom gives her
$5
for her birthday and then
$0.50
for each day that she completes her homework.
Write an
equation
that represents the
amount of money
she receives during the school year.
Use the equation to find the
number of days
Marta needs to buy new shoes that
cost $20
.
After
15 days
of doing homework, how much money has Marta earned?Slide2
Marta’s mom gives her $5 for her birthday and then $0.50 for each day that she completes her homework.Write an equation that represents the amount of money she receives during the school year. Use the equation to find the number of days Marta needs to buy new shoes that cost $20.3. After
15 days
of doing homework, how much money has Marta earned?
y = 0.5x + 5 or m = 0.5d + 5
20 = 0.5x + 5x = 30 days
y = 0.5(15) + 5y = $12.50Slide3
85 = 70 + 1585 and 70 + 15 are equal.What do you do to maintain equality (balance)?If you subtract 4 from one side: 85 – 4 You must also subtract 4 from the other: 70 + 15 – 4 85 – 4 = 70 + 15 – 4
81
= 81 If you divide by 5 on one side: 85
÷ 5 You must also divide by 5 on the other: 70 + 15 ÷ 5 85 ÷ 5 =
(70 + 15) ÷ 5 17 = 17To maintain balance do the same thing to both sides.
An equation states that two quantities are equal.Slide4
MSA 3.3: Writing Equations packet p. 5The picture shows a situation from Problem 3.2. Because the number of gold coins in each pouch is unknown,
you
can let x represent the
number of coins in one pouch. You can let 1 represent the value of one gold coin.
We can write the following equation to represent the situation: 2x +
4 = 12 We can use Nichole’s method from Problem 3.2 to write this equation:2(x
+
2
) = 12
=
x
=
1Slide5
2 pouches and 4 coins = 12 coins are balanced.How does Nichole’s equation also fit?
2(x
+ 2) = 122x +
4 = 12 and 2(x + 2) =
12 are equivalent expressions.Two or more expressions are equivalent if they have the same value, regardless of what number is substituted for the variable. They are an example of the of Distributive Property. 2
(
x
+
2
)
=
2
x
+
4
12
= 12
2
x
+
4
=
12
Slide6
In this problem, you will revisit situations with pouches and coins, but you will use symbolic equations to represent your solution process.Visual Equation:1.Describe the Steps for Finding the Coins in Each Pouch:
Symbolic
Equation:Use x to represent the number of gold coins in each pouch
Use the number 1 to represent each coinRemember the Balance Check
=
x
=
1Slide7
Visual Equation:2.Describe the Steps for Finding the Coins in Each Pouch:Symbolic Equation:
=
x
=
1Slide8
Visual Equation:3.Describe the Steps for Finding the Coins in Each Pouch:Symbolic Equation:
=
x
=
1Slide9
Visual Equation:4.Describe the Steps for Finding the Coins in Each Pouch:Symbolic Equation:
=
x
=
1Slide10
Draw the Visual Equation:3x = 12Describe the Steps for Finding the Coins in Each Pouch:Symbolic Equation:
=
x
=
1Now flip the process:Slide11
Draw the Visual Equation:2x + 5 = 19Describe the Steps for Finding the Coins in Each Pouch:Symbolic Equation:
=
x
=
1Slide12
Draw the Visual Equation:4x + 5 = 2x + 19Describe the Steps for Finding the Coins in Each Pouch:Symbolic Equation:
=
x
=
1Slide13
Draw the Visual Equation:4x + 5 = 2x + 19Describe the Steps for Finding the Coins in Each Pouch:Symbolic Equation:
=
x
=
1Slide14
Draw the Visual Equation:x + 12 = 2x + 6Describe the Steps for Finding the Coins in Each Pouch:Symbolic Equation:
=
x
=
1Slide15
Draw the Visual Equation:3(x+4) = 18Describe the Steps for Finding the Coins in Each Pouch:Symbolic Equation:
=
x
=
1Slide16
Challenge: Find the Mystery Numbera. If you add 15 to 3 times the mystery number, you get 78. What is the mystery number? b. If you subtract 27 from 5 times the mystery number, you get 83. What is the mystery number? c. Make up clues for a riddle whose mystery number is 9.Slide17
MSA 3.3 – Writing EquationsDid I reach my Learning Target? I will write and solve symbolic equations with one variable.Homework packet p. 5-8: 1) Complete and Correct classwork.2) Complete p. 8 puzzles.