Summary: Students will work through TwoStep Equations using algebra tiles, drawing pictures, and writing the stepbystep process.
Main Curriculum Tie: Mathematics Grade 6 Apply and extend previous understandings of arithmetic to algebraic expressions. 2. Write, read, and evaluate expressions in which letters stand for numbers. Materials:
 Algebra tiles for each student
 Foam working mat for desk top
 Colored pencils
 Onestep and twostep equations worksheets
Additional Resources
The Algebra Lab: Middle School, 1990 Creative Publications, 1300
Villa Street, Mountain View, CA 94041
Middle Grades Math, Course 1, Prentice Hall, 2001
Attachments
Web Sites
Background For Teachers: Solving twostep equations algebraically has many real world applications.
Keeping an equation in balance is a common thread throughout all algebra. Students
must learn to automatically perform the same operation with the same number
on both sides of the equation.
Linear equations with one variable have only one solution. To find the solution,
first simplify by using the properties and the order of operations to rewrite
without grouping symbols and to collect like terms. Then isolate the variable
by using inverse operations. Addition and subtraction are inverse operations;
multiplication and division are inverse operations.
When you solve a twostep equation, whether modeling with tiles or using algebraic
properties, you get the variable alone on one side of the equation by reversing
the order of operations.
Intended Learning Outcomes: 6. Represent mathematical situations. Instructional Procedures: Invitation to Learn
Choose one task from the following list and write the stepbystep instructions
on how to accomplish the task:
 making cookies
 mowing the lawn
 building a snowman
 building a fence
Call on students to share their stepbystep instructions. Discuss the importance
of completing one step before moving on to the next.
Many math problems need to be handled in a stepbystep method as well.
Instructional Procedures
 Distribute algebra tiles, mats, and colored pencils accompanying worksheets.
 Review writing and solving onestep equations using algebra tiles. (Note:
onestep equations should have been mastered in the 5th grade. However, since
the equation concept is relatively new and requires such abstract thinking,
the teacher may want to conduct a very thorough review of onestep equations.
Two or three class periods might even be used for review to ensure confidence
in these equations.)
 Demonstrate the following on overhead:
Addition equation x + 2 = 6
Subtraction equation x  3 = 7
Multiplication equation 3x = 6
 Have students work through the worksheet using their algebra tiles, drawing
pictures, and writing the solution to each problem.
TwoStep Equations:
Step 1: Add or subtract the same number from each side of equation
Step 2: Divide the same number (the number beside the variable) from both
sides of equation.
 Demonstrate the following on the overhead with students using tiles. Discuss
each step thoroughly.
2x + 3 = 5 
2 + 5x = 12 
3y  2 = 7 
3y  5 = 10 
 Have students work through problems on the worksheet using algebra tiles,
drawing pictures, and writing the stepbystep process as well as the solution
to each equation.
Curriculum Integration
Present some real world problems that require a twostep equation to solve the
problem.
Economics example—Carmela wants to buy a digital camera for
$249. She has $24 and is saving $15 each week. Solve the equation $15w + $24
= $249 to find how many weeks she will take to save enough to buy the camera.
(answer: 15 weeks)
Nutrition example—A soccer player wants to eat 800 calories
at a meal that includes a roast beef sandwich and potato chips. The sandwich
has 570 calories and the potato chips have 23 calories each. Solve the equation
570 + 23p = 800 to find the number of potato chips the soccer player can eat.
(answer: 10 chips)
Extensions: Homework & Family Connection
A family vacation to Disneyland will cost $2,000. Your family has already saved
$450 toward the trip and they are saving $300 every month. How many months will
you have to save before you can go on your family vacation? Write an equation
to solve the problem. Since the solution is not a whole number, discuss with
your family about how to round the answer. Should you round up or down?
Assessment Plan: Give students 2 or 3 twostep equations and ask them to draw algebra tiles
to represent the equations, showing the steps involved. Then find the solution
to the equations.
Author: Utah LessonPlans
Created Date : Sep 16 2003 10:46 AM
