Mr. Wolf
Date
Alg2 Topics
Grades 10-12
Unit 1: Real Numbers, Equations, & Inequalities
Addition & Subtraction One-Step Equations
Materials and Resources:
 Warm-up (1 per student)
 Daily Quiz (1 per student)
 Lesson Topic: Notes Sheet (1 per student)
 Lesson Topic: Practice Problems (1 per student)
 Exit Ticket (1 per student)
Instructional Objectives:
 Students will be able to…by doing…
Instructional Purpose:
 This material is important to learn because…
Real World Applications:

Time
10 min
5 min
Activity
Warm-up
Homework Check
min
Review Homework
1 min
min
Agenda
Main Lesson
1 min
5 min
Agenda
Conclusion
Homework:
Lesson Reflection:
Description
Pass out the Warm-up and review solutions.
Spot-check and instruct students to copy their
solution to pg. # onto the back of the Warm-up.
Collect and grade.
Present the HW solutions and answer any
questions.
Review the goals for the day.
Modeling:
Guiding:
Independent Practice:
Assessment:
Modifications:
Students with special needs…
Advanced students…
Revisit goals and identify whether they were met.
Pass out the Exit Ticket and collect at the bell.
Algebra 2 Topics
Name: ____________________________
Date: ____________
Block: ______
Warm-up
Evaluating Expressions
Directions: Evaluate the expressions at the given values.
12  5x , x  3
10  3x , x  2
_______
5 x  7  4 y , x  1, y  5
_______
5 y  7 , y  3
5 z  12  3 y , z  2, y  2
_______
4 x  2 y  10  3z , x  1, y  2, z  3
_______
_______
_______
Algebra 2 Topics
Name: ____________________________
Date: ____________
Block: ______
Warm-up
Evaluating Expressions
Directions: Evaluate the expressions at the given values.
12  5x , x  3
10  3x , x  2
_______
5 x  7  4 y , x  1, y  5
_______
_______
5 y  7 , y  3
5 z  12  3 y , z  2, y  2
4 x  2 y  10  3z , x  1, y  2, z  3
_______
_______
_______
Algebra 2 Topics
Name: ____________________________
Date: ____________
Block: ______
Daily Quiz
Evaluating Expressions
Directions: Evaluate the expressions at the given values.
15  5x , x  5
_______
10  8x , x  2
_______
4 y  7 , y  2
_______
6  4z , z  3
_______
 2x  8 , x  4
_______
7 y  6 , y  1
_______
4 x  10  2 y , x  1, y  3
_______
3 z  3  y , z  2, y  2
5 x  y  4  6 z , x  1, y  2, z  3
_______
_______
Algebra 2 Topics
Name: ____________________________
Date: ____________
Block: ______
Daily Quiz
Evaluating Expressions
Directions: Evaluate the expressions at the given values.
15  5x , x  5
_______
10  8x , x  2
_______
4 y  7 , y  2
_______
6  4z , z  3
_______
 2x  8 , x  4
_______
7 y  6 , y  1
_______
4 x  10  2 y , x  1, y  3
_______
3 z  3  y , z  2, y  2
5 x  y  4  6 z , x  1, y  2, z  3
_______
_______
Algebra 2 Topics
Name: ____________________________
Date: ____________
Block: ______
The Tale of Ricky and Larry
Directions: Each character and event in the story symbolizes an aspect of
solving equations in mathematics. While reading the story, determine what
the characters and events symbolize.
Ricky and Larry were brothers and although they were very different,
they lived in the same house. Ricky owned the right side of the house and
Larry owned the left side. Ricky did not allow Larry to be on the right side
of the house and Ricky was not allowed on the left side. Both brothers were
very competitive and refused to be outdone by his counterpart.
One day Ricky decided to paint his side of the house yellow. Of
course, the next day Larry painted his side of the house yellow too.
The next week Larry bought a new window for his side of the house.
Of course, the next day Ricky bought the same window for his side of the
house.
Afterwards, Ricky decided that he would clean his side of the house
until it was spotless. Of course, the next day Larry cleaned his side of the
house until it was just as clean as Ricky’s side.
Finally, the brothers decided that since each side of the house was
the exact same as the other, they would share the entire house and live
happily together.
Questions
Try to relate this story to solving equations in mathematics and answer the
following questions:
1) Mathematically, what does Ricky represent?
2) Mathematically, what does Larry represent?
3) Mathematically, what do the changes they make to their house
represent?
4) In mathematical terms, what does it mean when they decide to live
together in the entire house at the end of the story?
Algebra 2 Topics
Name: ____________________________
Date: ____________
Block: ______
Addition & Subtraction One-Step Equations
Notes Sheet
Goal:
Purpose:
At the completion of the lesson, you will be able to…
1) identify equations and expressions and define the differences between them
2) solve addition and subtraction one-step equations
We are studying this material because it is important to be able to solve basic one-step equations
before we can study more advanced equations.
Expression
vs.
Equation
inverse operations –
Table of Inverse Operations
Operation
Inverse
Addition One-Step Equations
Consist of one variable, two constants, an addition sign, and an equal sign.
Example: x + 4 = 7
To solve an addition one-step equation:
 Perform the inverse operation (subtraction) of the constant to both sides of the
equation
Example: x + 4 = 7
Subtraction One-Step Equations
Consist of one variable, two constants, a subtraction sign, and an equal sign.
Example: y – 9 = 2
To solve a subtraction one-step equation:
 Perform the inverse operation (addition) of the constant to both sides of the
equation
Example:
y–9=2
Algebra 2 Topics
Name: ____________________________
Date: ____________
Block: ______
Addition & Subtraction One-Step Equations
Practice Problems
Directions: Describe the two differences between an expression and an equation.
1)
2)
Directions: Label each problem as an expression or an equation. If the problem is an
expression, please evaluate. If the problem is an equation, please solve.
Expression or Equation
Solution
1) y – 8 = 2
________________
________________
2) 4y – 8, y= 2
________________
________________
3) 12 = y - 3
________________
________________
4) -8 + y = -2
________________
________________
5) 5 + y, y = -8
________________
________________
6) -10y – 3y, y = -4
________________
________________
7) y +1 = 10
________________
________________
8) 5y – 8, y = 1
________________
________________
9) 14 – 3y, y = -7
________________
________________
10) y - 4 = 16
________________
________________
Real World Application
Tina is in charge of 27 employees at her company. The president of the company wants Tina to hire a certain
number of workers so that she will now be in charge of 53 employees. Set up a one-step addition equation and
solve for the unknown number of workers that Tina must hire.
Algebra 2 Topics
Name: ____________________________
Date: ____________
Block: ______
Exit Ticket
Addition & Subtraction One-Step Equations
Directions: Solve the following addition/subtraction one-step equations.
x+5=9
y–9=2
z – 7 = -1
a + 4 = -3
-5 = b – 6
2 + c = -4
d – 10 = -15
5+m=3
Algebra 2 Topics
Name: ____________________________
Date: ____________
Block: ______
Exit Ticket
Addition & Subtraction One-Step Equations
Directions: Solve the following addition/subtraction one-step equations.
x+5=9
y–9=2
z – 7 = -1
a + 4 = -3
-5 = b – 6
2 + c = -4
d – 10 = -15
5+m=3