Utilizing Math in Everyday Life: Solving Real-World Problems with Algebra
1/18 School HOLIDAY
MLK, Jr. Day
No school for staff or
students.
1/19 Warm Up-
Tuesday
Math in everyday life.
Think of a
time you, a
family member, or a friend
had to compare the cost of
products.
Choose a thinking map and
fill in descriptions, events,
or sequences.
1/19 Objective
I will recognize that math can be
used in everyday situations by
writing an essay explaining how I
can apply concepts from algebra
to solve problems in real life.
1/19 Concept Builder
Setting up System of Equations
from word problems.
1.
Identify variables.
2.
Look for patterns.
(how many vs. how much)
3.
Set up equations.
4.
Solve using best choice
1/19 Practice
Identify variables.
Look for patterns.
Set up equations.
Solve.
1. The sum of two numbers is 30 and
their difference is 12. Find the two
numbers.
1/19 Concept Builder
1/19 Practice
Identify variables.
Look for patterns.
Set up equations.
Solve.
3. The difference between two
numbers is 9. The first number plus
twice the other number is 27. Find the
two numbers.
1/19 Concept Builder
1/19 Practice
Identify variables.
Look for patterns.
Set up equations.
Solve.
5. The sum of two numbers is 20. The
difference between three times the first
number and twice the second is 40.
Find the two numbers.
1/19 Concept Builder
1/19
Warm Up-
Wednesday
Hints:
•
There is an equal sign in the
problem so we can use
y=.
•
The answer choices are in a table
so we can go to
2
nd
Graph
to see
tables
.
•
Which answer choice matches
the table on the calculator?
12/16 Objective
I will be able to set up a system
of equations from situations and
solve using matrix on calculator.
12/16 Concept Review
Setting up System of Equations
from word problems.
1.
Identify variables.
2.
Look for patterns.
(how many vs. how much)
3.
Set up equations.
4.
Solve using best choice
12/16 Practice
Identify variables.
Look for patterns.
Set up equations.
Solve.
6. The sum of two numbers is 25. One
number is twice the second number plus
seven. What are the two numbers?
12/16 Practice
Identify variables.
Look for patterns.
Set up equations.
Solve.
7. The cost of three boxes of envelopes
and four boxes of notebook paper is
$13.25. Two boxes of envelopes and six
boxes of notebook paper cost $17. Find
the cost of each.
12/16 Practice
Identify variables.
Look for patterns.
Set up equations.
Solve.
13. A group of 40 children attended a baseball
game on a field trip. Each child received either
a hot dog or bag of popcorn. Hot dogs were
$2.25 and popcorn was $1.75. If the total bill
was $83.50, how many hotdogs and bags of
popcorn were purchased?
12/16 Practice
Identify variables.
Look for patterns.
Set up equations.
Solve.
14. One night a theater sold 548 movie
tickets. An adult’s ticket costs $6.50 and a
child’s ticket cost $3.50. In all, $2881 was
taken in. How many of each kind of ticket
were sold?
12/16 Practice
Identify variables.
Look for patterns.
Set up equations.
Solve.
15. Adult tickets for the school musical
sold for $3.50 and student tickets sold for
$2.50. On a given night, 321 tickets were
sold for $937.50. How many of each kind
of ticket were sold?
12/16 Practice
Identify variables.
Look for patterns.
Set up equations.
Solve.
16. A collection of dimes and nickels is
worth $3.30. If there are 42 coins in all,
how many of each kind of coin are there?
12/16 Practice
Identify variables.
Look for patterns.
Set up equations.
Solve.
17. Mary has a collection of nickels and
quarters for a total value of $4.90. If she
has 42 coins total, how many of each kind
are there?
12/17: Warm Up-
Thursday
Hints:
•
There is an equal
sign in the problem
so we can use
y=.
•
Because the
answer choices are
not in graph or
table
we need
more info.
Do we
know what “
n”
or
“
r”
is?
•
Fill in
new info and
solve.
12/17 Objective
I will be able to set up a
system of equations from
situations and solve using
matrix on calculator.
12/17 Practice
Identify variables.
Look for patterns.
Set up equations.
Solve.
16. A collection of dimes and nickels is
worth $3.30. If there are 42 coins in all,
how many of each kind of coin are there?
12/17 Practice
Identify variables.
Look for patterns.
Set up equations.
Solve.
17. Mary has a collection of nickels and
quarters for a total value of $4.90. If she
has 42 coins total, how many of each kind
are there?
12/17 Assignment
Unit 5: Systems of Equations & Inequalities
Homework 6: System Word Problems
Problem numbers 1-5.
1. Set up variables:
x = one number
y = another number
2. Set up variables:
x = small cups
y = large cups
3. Set up variables:
x = chicken dinner
y = steak dinner
4. Set up variables:
x = adult tickets
y = student tickets
5. Set up variables:
x = left handed gloves
y = right handed gloves
12/18:
Warm Up
Friday
12/18 Objective
I will be able to set up a
system of equations from
situations and solve using
matrix on calculator.
12/18 Assignment
Set Up
Equations
from Word
Problems-
1. Match Situation to
Equation
2. Solve using matrix.
~Happy Holidays~
Please enjoy hot chocolate and popcorn after you
complete your assignment.
Everyone have a safe and happy break!
Rest and be ready for the rest of our rocking school
year!
Explore how to apply algebraic concepts in real-life scenarios through setting up systems of equations from word problems. Practice tasks involve finding unknown numbers based on relationships of sums, differences, and multiples. Enhance your math skills by identifying variables, recognizing patterns, and solving equations effectively.
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Presentation Transcript
1/18 School HOLIDAY 1/18 School HOLIDAY MLK, Jr. Day No school for staff or students.
1/19 Warm Up 1/19 Warm Up- - Tuesday Math in everyday life. Think of a time you, a family member, or a friend had to compare the cost of products. Choose a thinking map and fill in descriptions, events, or sequences.
1/19 Objective 1/19 Objective I will recognize that math can be used in everyday situations by writing an essay explaining how I can apply concepts from algebra to solve problems in real life.
1/19 Concept Builder 1/19 Concept Builder Setting up System of Equations from word problems. 1. Identify variables. 2. Look for patterns. (how many vs. how much) 3. Set up equations. 4. Solve using best choice
1/19 Practice 1/19 Practice 1. The sum of two numbers is 30 and their difference is 12. Find the two numbers. Identify variables. Look for patterns. Set up equations. Solve.
1/19 Concept Builder 1/19 Concept Builder
1/19 Practice 1/19 Practice 3. The difference between two numbers is 9. The first number plus twice the other number is 27. Find the two numbers. Identify variables. Look for patterns. Set up equations. Solve.
1/19 Concept Builder 1/19 Concept Builder
1/19 Practice 1/19 Practice 5. The sum of two numbers is 20. The difference between three times the first number and twice the second is 40. Find the two numbers. Identify variables. Look for patterns. Set up equations. Solve.
1/19 Concept Builder 1/19 Concept Builder
1/19 1/19 Warm Up Warm Up- - Wednesday Hints: There is an equal sign in the problem so we can use y=. The answer choices are in a table so we can go to 2nd Graph to see tables. Which answer choice matches the table on the calculator?
12/16 Objective 12/16 Objective I will be able to set up a system of equations from situations and solve using matrix on calculator.
12/16 Concept Review 12/16 Concept Review Setting up System of Equations from word problems. 1. Identify variables. 2. Look for patterns. (how many vs. how much) 3. Set up equations. 4. Solve using best choice
12/16 Practice 12/16 Practice 6. The sum of two numbers is 25. One number is twice the second number plus seven. What are the two numbers? Identify variables. Look for patterns. Set up equations. Solve.
12/16 Practice 12/16 Practice 7. The cost of three boxes of envelopes and four boxes of notebook paper is $13.25. Two boxes of envelopes and six boxes of notebook paper cost $17. Find the cost of each. Identify variables. Look for patterns. Set up equations. Solve.
12/16 Practice 12/16 Practice 13. A group of 40 children attended a baseball game on a field trip. Each child received either a hot dog or bag of popcorn. Hot dogs were $2.25 and popcorn was $1.75. If the total bill was $83.50, how many hotdogs and bags of popcorn were purchased? Identify variables. Look for patterns. Set up equations. Solve.
12/16 Practice 12/16 Practice 14. One night a theater sold 548 movie tickets. An adult s ticket costs $6.50 and a child s ticket cost $3.50. In all, $2881 was taken in. How many of each kind of ticket were sold? Identify variables. Look for patterns. Set up equations. Solve.
12/16 Practice 12/16 Practice 15. Adult tickets for the school musical sold for $3.50 and student tickets sold for $2.50. On a given night, 321 tickets were sold for $937.50. How many of each kind of ticket were sold? Identify variables. Look for patterns. Set up equations. Solve.
12/16 Practice 12/16 Practice 16. A collection of dimes and nickels is worth $3.30. If there are 42 coins in all, how many of each kind of coin are there? Identify variables. Look for patterns. Set up equations. Solve.
12/16 Practice 12/16 Practice 17. Mary has a collection of nickels and quarters for a total value of $4.90. If she has 42 coins total, how many of each kind are there? Identify variables. Look for patterns. Set up equations. Solve.
12/17: Warm Up 12/17: Warm Up- - Thursday Hints: There is an equal sign in the problem so we can use y=. Because the answer choices are not in graph or table we need more info. Do we know what n or r is? Fill in new info and solve.
12/17 Objective 12/17 Objective I will be able to set up a system of equations from situations and solve using matrix on calculator.
12/17 Practice 12/17 Practice 16. A collection of dimes and nickels is worth $3.30. If there are 42 coins in all, how many of each kind of coin are there? Identify variables. Look for patterns. Set up equations. Solve.
12/17 Practice 12/17 Practice 17. Mary has a collection of nickels and quarters for a total value of $4.90. If she has 42 coins total, how many of each kind are there? Identify variables. Look for patterns. Set up equations. Solve.
12/17 Assignment 12/17 Assignment Unit 5: Systems of Equations & Inequalities Homework 6: System Word Problems Problem numbers 1-5. 1. Set up variables: x = one number y = another number 2. Set up variables: x = small cups y = large cups 3. Set up variables: x = chicken dinner y = steak dinner 4. Set up variables: x = adult tickets y = student tickets 5. Set up variables: x = left handed gloves y = right handed gloves
12/18: 12/18: Warm Up Warm Up Friday
12/18 Objective 12/18 Objective I will be able to set up a system of equations from situations and solve using matrix on calculator.
12/18 Assignment 12/18 Assignment Set Up Equations from Word Problems- 1. Match Situation to Equation 2. Solve using matrix.
~Happy Holidays~ ~Happy Holidays~ Please enjoy hot chocolate and popcorn after you complete your assignment. Everyone have a safe and happy break! Rest and be ready for the rest of our rocking school year!
