Transcript contest esc

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Your sister came home one afternoon feeling sick. You felt her forehead
and found out that she has a slight fever. By nighttime, however, she said
she was feeling weak.
You became worried and called the doctor. The doctor said that if her
temperature reaches 39 OC, you should bring her to the hospital.
So with the digital thermometer, you took your sister’s temperature. But
to your dismay, the thermometer read 100.4OF. The thermometer is in
Fahrenheit!
You called the doctor again and he said,
To convert Fahrenheit to Celsius, use this formula,
9
x  32  100.4
5
where x is the temperature in Celsius.
Would you know how to use this formula
to find the value of x?
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Find a partner. Together, analyze the 4 choices around the circle below.
Which do you think should be your first step to find the value of x? Be
ready to explain your choice.
A. Multiply
both sides of
the equation
by 5.
C. Subtract
32 from
both sides
of the
equation.
9
x  32  100.4
5
TO FIND
THE
VALUE
OF X
B. Multiply
both sides
of the
equation by
5/9.
D. Divide
both sides
of the
equation by
9/5.
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THINKING ABOUT OUR CHOICES
A. Multiply both sides of the
equation by 5.
What do you think will be the result if you
multiply both sides of the equation by 5?
_____________________________________
_____________________________________
Assuming you are right, what do you think
would be the next step?
_____________________________________
_____________________________________
B. Multiply both sides of the
equation by 5/9.
What do you think will be the result if you
multiply both sides of the equation by 5/9?
_____________________________________
_____________________________________
Assuming you are right, what do you think
would be the next step?
_____________________________________
_____________________________________
C. Subtract 32 from both sides of
the equation.
D. Divide both sides of the equation
by 9/5.
What do you think will be the result if you
subtract 32 from both sides of the equation?
_____________________________________
_____________________________________
What do you think will be the result if you
divide both sides of the equation by 9/5?
_____________________________________
_____________________________________
Assuming you are right, what do you think
would be the next step?
_____________________________________
_____________________________________
Assuming you are right, what do you think
would be the next step?
_____________________________________
_____________________________________
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LESSON 1:
The formula given by
the doctor is a linear
equation. To learn
about solving linear
equations, click on
the friendly elephant.
After learning from the
website given by the
friendly elephant, let’s do
THINK-PAIR-SHARE. Click
here to answer Activity 1
with your partner. Write
your solution in Activity
Sheet 1.
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ACTIVITY SHEET 1 - Solve the linear
equations. Which step did you use to solve for
X+5=7
_______
_______
x?
a) Add 5 to both sides of the
equation.
b) Subtract 5 to both sides of the
equation.
2x + 3 – 5x + 1 = 3x + 16
____________________
____________________
____________________
____________________
____________________
Answer: _______
6X – 8 = -32
_________
_________
_________
_________
Arrange the steps to solve for
x.
a) Undo the multiplication by
dividing both sides by 6.
b) Undo the subtraction by
adding 8 to both sides.
Answer: _________
4x + 1 = x - 14
____________
____________
____________
____________
____________
____________
Arrange the steps to solve
for x.
a) Subtract x from both
sides
b) Undo the multiplication by
dividing by 3.
c) Undo the addition by
subtracting by 1.
Answer: _________
7(x + 2) = 4x - 1
_____________
_____________
_____________
_____________
_____________
3x 
Arrange the steps to
solve for x.
a) Subtract 3x from
both sides.
b) Combine like terms.
c) Divide both sides by
-6.
d) Subtract 4 from both
sides.
Answer: _________
Arrange the steps to solve for x.
a) Divide both sides by 3.
b) Multiply the parenthesis by 7.
c) Subtract 4x from both sides.
d) Subtract 14 from both sides.
Answer: __________
1
1
4
_____________
_____________
_____________
_____________
_____________
Arrange the steps to solve for x.
a) Divide both sides by 3.
b) Subtract ¼ from both sides.
Answer: __________
LESSON 2:
Let’s learn more about
solving linear equations.
Click on Doggy.
After learning from the
website given by Doggy,
let’s do THINK-PAIR-SHARE.
Click here to answer Activity
2 with your partner. Write
your solution in Activity
Sheet 2.
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ACTIVITY 2 - Solve the linear equations.
-3x = 18
_______
_______
Which step did you use to
solve for x?
a) Multiply both sides of the
equation by -3.
b) Divide both sides of the
equation by -3.
2x + 5 = 1
___________
___________
___________
___________
Arrange the steps to
solve for x.
a) Divide both sides by
2.
b) Subtract 5 from
both sides .
5
x  4  16
6
_________
_________
_________
_________
1
x  2  1
4
_________
_________
_________
_________
Arrange the steps to
solve for x.
a) Add 24 to both sides.
b) Multiply everything by
the common
denominator 6.
c) Divide both sides by
5.
Arrange the steps to
solve for x.
a) Get rid of the
fraction by
multiplying both
sides by 4.
b) Subtract 2 from
both sides.
LESSON 3:
Let’s learn more about
solving linear equations.
Click on Mr. Bee.
After learning
from the website
given by Mr.
Bee, let’s do
THINK-PAIRSHARE. Click
here to answer
Activity 3 with
your partner.
Write your
solution in
Activity Sheet 3.
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ACTIVITY 3 - Solve for x in the word problems then answer the synthesis question.
A number x decreased by 9 equals 20.
What is x?
A number x divided by 9 equals 1/12. What
is x?
Set up the equation:_______________
Set up the equation:_______________
Solve the equation: _______________
Solve the equation: _______________
_______________
_______________
A number x increased by 12 equals -3.
What is x?
A number x multiplied by 1/3 equals 2/7.
What is x?
Set up the equation:_______________
Set up the equation:_______________
Solve the equation: _______________
Solve the equation: _______________
_______________
_______________
Maria spent a total of Php 550 at a
restaurant for dinner. The bill was Php 450
and the tax was Php 54. How much tip did
she leave?
Set up the equation:_______________
Solve the equation: _______________
_______________
_______________
Synthesis Question:
What words in the problems gave you
clues on which operation to use in
setting up the linear equation?
_________ ___________ __________
_________ ___________
GUIDED PRACTICE
ACTIVITY 4
Let’s ask the help of Mr. Wise Owl . Click
on him to have some more practice! Solve
at least 5 problems. Write these on Activity
Sheet 4.
ACTIVITY 5
Let’s be really, really good at solving linear
equations. Click on Mr. Wizard and be a master at
this! Solve at least 5 problems. Write these on
Activity Sheet 5.
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Now that you have studied how to solve linear
equations, let us go back to our original problem,
9
x  32  100.4
5
Which of the choices do you think should be the first
step?
A. Multiply
both sides of
the equation
by 5.
C. Subtract
32 from
both sides
of the
equation.
TO FIND
THE
VALUE
OF X
B. Multiply
both sides
of the
equation
by 5/9.
D. Divide
both sides
of the
equation
by 9/5.
Finish your solution. What is the value of x?
Write your solution on a ¼ sheet of paper.
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INDEPENDENT PRACTICE
Now you’re ready to solve
linear equations on your
own. Click here and start
your adventure! Write
your solutions on Activity
Sheet 6.
Not to forget your ever reliable textbook, go
to page 25 of ALGEBRA 2. Answer CLASS
EXERCISES Numbers 2-9. Write your
solutions on Activity Sheet 7. To check if your
answers are right, click on the book.
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WORD PROBLEMS
Write your solution on a ½ sheet of paper.
1. Christina had Php 850 pesos in her bank account. She made 3
equal deposits of x pesos. Her total deposit is now Php 3,550.
How much is x?
2. Ernesto had Php 700 in his pocket. He gave Php 320 to his
wife for the water bill and gave his 4 children x pesos each. He
was left with Php 40. How much is x?
3. Chloroform, a chemical once used as an anesthetic, has a
density of 1.492 g/mL. What is the mass in grams of
chloroform with a volume of 225 mL? Use the formula
m
d 
v
where d is the density, m is the mass and v is the volume.
Check your answers here!
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You’ll need a friend to play
with in this game. Test your
skills in solving linear
equations. Depending on
your confidence, you can
adjust the level of difficulty
of the problems. You can
also adjust the time for each
problem. The harder they
get, the better you become
with this “Connect-Four
Contest”. Click this.
Who wants to be a MILLIONAIRE
by solving linear equations?
Click on the money and play the
“Rags to Riches Game”.
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TAKE THE QUIZ! Copy the problems that you will solve on
1 whole sheet of paper and show your solution.
Click the Algebra
Quiz Generator and
follow the
instructions below.
Click the Algebra
Quiz Generator and
follow the
instructions below.
Answer each word
problem. Write your
solutions on a ½
sheet of paper.
Select the difficulty of
the problem: EASY
Select the difficulty of
the problem: HARD
Click on your answer
and see if you are
correct.
Select how many
problems: 5
Select how many
problems: 5
What’s your score?
______
What’s your score?
______
Ready?
Start by clicking
here.
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1. Find a partner
2. Together with your partner, create a word problem that
would reflect your daily experiences in work, home, school,
etc. This word problem should have a solution that would
use ‘solving linear equations’. Use only one variable (x).
3. Using colored pens and crayons, write this word problem in
a short size bond paper. Be artistic! (But no glitters, please!)
4. At the back of the bond paper, write the step-by-step
solution to your word problem.
5. To know how your final output will be graded, refer to the
rubric on the next slide.
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Criteria for Grading
Excellent
18-20
Developing
11-14
Beginning
4-7
The Word
Problem
A two-step linear
equation can be
set up based on
the given.
(6-7)
A one-step linear
equation can be
set-up based on
the given.
(4-5)
A linear equation
cannot be set up
based on the
given.
(1-3)
The solution
The solution is
step-by-step and
the final answer is
correct.
(5-6)
The solution is
not step-by-step
but the final
answer is
correct.
(3-4)
The solution is not
step by step and
the final answer
given is wrong.
(1-2)
Grammar
The sentences are
easily understood
and there are no
grammatical
errors.
(4)
The sentences
can be
understood but
with some
grammatical
errors.
(2-3)
The sentences
cannot be
understood at all.
(1)
Visual
Presentation
There are
illustrations, neat,
and attractive..
(3)
No illustrations
but neat and
attractive.
(2)
Appears messy
and looks like done
in a hurry.
(1)
Student’s
Rating
Total Score:
Teacher’s
Rating
Total Score:
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1. Which type of linear equation do you find easiest to solve? Why? Give an
example.
____________________________________________________________
____________________________________________________________
2. Which type of linear equation do you find hardest to solve? Why? Give an
example.
____________________________________________________________
____________________________________________________________
3. In solving word problems, which do you find difficult? Why?
a. Understanding the word problem.
b. Setting up the linear equation.
c. Solving for x.
_________________________________________________________
_________________________________________________________
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Congratulations!
Now that you have learned to
solve linear equations, I hope
that you would be able to use
this in your daily life!
Press ESC to end module.
1.x = 3
2.y = 2
3.z = -11
Click here to go back.
4.t = 3
5.w = 3
6.x = 20
7.x = 5
8.x = 4
If you got them all correct,
click here.
ANSWERS TO THE WORD PROBLEMS
1.x = 900 pesos
2.x = 85 pesos
3.Mass = 335.7 grams
Click here to go back to the word problems.
If you got them all correct, then you are ready for the quiz.
click here.
1. Nelia has Php 400 in her wallet. She bought 3
kilos of fish at x pesos per kilo. She was
left with Php 130. How much is x?
a) x=Php 60
b) x=Php 70
c) x=Php 80
d) x=Php 90
TRY
AGAIN.
Click HERE to
try again.
That’s
right. Very
good!
Click HERE to
move forward.
2. Boyet has Php 50 in his pocket. His
father gave him x pesos and his mother
gave him the same amount, too. Then he
had lunch in school and paid Php 60. He
was left with Php 70. How much is x?
a) x=Php 30
b) x=Php 40
c) x=Php 60
d) x=Php 80
TRY
AGAIN.
Click HERE to
try again.
That’s
right. Very
good!
Click HERE to
move forward.
3. Acetone, the solvent which removes nail
polish, has a density of 0.791 g/mL. What is the
mass in grams of acetone with a volume of
31.61 mL?
a) mass=23.60 g
b) mass=25.00 g
c) mass=26.04 g
d) mass=26.81 g
TRY
AGAIN.
Click HERE to
try again.
That’s
right. Very
good!
Go back to
the module.
ACTIVITY SHEET 4
1. The problem is: ________________
Step 2 is:
________________
4. The problem is: ________________
Step 2 is:
________________
The answer is: ________________
The answer is: ________________
2. The problem is: ________________
5. The problem is: ________________
Step 2 is:
________________
The answer is: ________________
3. The problem is: ________________
Step 2 is:
________________
The answer is: ________________
Step 2 is:
________________
The answer is: ________________
ACTIVITY SHEET 5
1. The problem is: ________________
Step 2 is:
________________
Step 3 is:
________________
The answer is: ________________
2. The problem is: ________________
Step 2 is:
________________
Step 3 is:
________________
The answer is: ________________
3. The problem is: ________________
Step 2 is:
________________
Step 3 is:
________________
The answer is: ________________
4. The problem is: ________________
Step 2 is:
________________
Step 3 is:
________________
The answer is: ________________
5. The problem is: ________________
Step 2 is:
________________
Step 3 is:
________________
The answer is: ________________
ACTIVITY SHEET 6
• x - 5 = 12
________
________
What is the value of x? ____
6. 3 (x + 10) = 15
____________
____________
____________
What is the value of x? ____
2. 2x - 2 = 14
________
________
What is the value of x? ____
7. 5x + 3 = 2x + 9
____________
____________
____________
What is the value of x? ____
3. 5x = 14
________
________
What is the value of x? ____
4. 2x - 3 = 6
________
________
________
What is the value of x? ____
5. 2 (x + 5) = 16
__________
__________
__________
What is the value of x? ____
8. 2x + 7 = 13 - 2x
____________
____________
____________
What is the value of x? ____
9. A formula is given by y = mx + c.
Find the value of x when y = 12, m = 5 and
c = 3.
____________
____________
____________
What is the value of x? ____