Level 1  Writing and Simplifying Variable Expressions
Watch the introductory video on simplifying variable expressions. Focus on the vocabulary and the steps used to simplify variable expressions.
enVision  Topic 3, Lesson 34, MathXL for School: Practice and Problem Solving
enVision  Topic 3, Lesson 37, MathXL for School: Practice and Problem Solving
Mandatory Conversation  Copy an example problem from the video above in your math notebook. Explain your understanding of the problem to the teacher.
Mandatory Task 1 ($50)  Write down the 3 steps to follow when simplifying an expression and the 4 steps to follow when simplifying and expression with parenthesis in your math notebook.
Mandatory Task 2 ($100)  Copy and correctly complete the writing variable expressions worksheet in you math notebook. Show the teacher once you have finished this task!!!
Task 3 ($50)  Click the button below to log into Buzz Math. Open the 6th grade book. Click on the "expressions and equations  algebraic expressions" tab on the left side of the page. Then, click on "writing algebraic expressions  introduction." Correctly complete all 10 problems. Show the teacher once you have finished this task!!!
Task 4 ($50)  Click the button below to log into Buzz Math. Open the 6th grade book. Click on the "expressions and equations  algebraic expressions" tab on the left side of the page. Then, click on "exploring like parts of an expression." Correctly complete all 10 problems. Show the teacher once you have finished this task!!!
Task 5 ($50)  Click the button below to log into Buzz Math. Open the 6th grade book. Click on the "expressions and equations  algebraic expressions" tab on the left side of the page. Then, click on "writing algebraic expressions 1." Correctly complete all 10 problems. Show the teacher once you have finished this task!!!
Task 6 ($100)  Click the button below to log into Buzz Math. Open the 6th grade book. Click on the "expressions and equations  algebraic expressions" tab on the left side of the page. Then, click on "writing algebraic expressions 2." Correctly complete all 10 problems. Show the teacher once you have finished this task!!!
Task 7 ($100)  Click the button below to log into Buzz Math. Open the 6th grade book. Click on the "expressions and equations  algebraic expressions" tab on the left side of the page. Then, click on "simplifying algebraic expressions: like terms." Correctly complete all 10 problems. Show the teacher once you have finished this task!!!
Task 8 ($100)  Click the button below to log into Buzz Math. Open the 6th grade book. Click on the "expressions and equations  algebraic expressions" tab on the left side of the page. Then, click on "writing algebraic expressions: representing quantities in real world situations." Correctly complete all 10 problems. Show the teacher once you have finished this task!!!
Task 9 ($100)  Create a video of you writing and simplifying a variable expression. The video must include commentary explaining the process and properly use the phrase "like terms." Show the teacher once you have finished this task!!!
Exit Slip
Solve.
1. Write the phrase "three more than a number added to eight" as an algebraic expression.
2. Write a phrase in words for the algebraic expression t  29.
3. Simplify the variable expression by combining the like terms. 5x + 3  2x + 10
4. William earns $13 an hour working at a movie theater. Last week he worked h hours at the concession stand and three times as many hours at the ticket counter. Write and simplify an expression for the amount of money William earned last week.
1. Write the phrase "three more than a number added to eight" as an algebraic expression.
2. Write a phrase in words for the algebraic expression t  29.
3. Simplify the variable expression by combining the like terms. 5x + 3  2x + 10
4. William earns $13 an hour working at a movie theater. Last week he worked h hours at the concession stand and three times as many hours at the ticket counter. Write and simplify an expression for the amount of money William earned last week.
Reteach  Follow the steps provided below
1. Select and watch one of the reteach videos provided below.
2. If you understand the concept then you can move on to the reteach tasks.
3. If you are still struggling to grasp the concept then choose a different reteach video to watch. Find the video that makes the most sense to you. Once you understand the concept then complete the reteach tasks.
1. Select and watch one of the reteach videos provided below.
2. If you understand the concept then you can move on to the reteach tasks.
3. If you are still struggling to grasp the concept then choose a different reteach video to watch. Find the video that makes the most sense to you. Once you understand the concept then complete the reteach tasks.

Reteach Task 1 ($50)  Correct write an expression for the 11 problems below.
Reteach Task 2 ($50)  Correctly simplify each variable expression below.
1. 2x + 5x
2. 6t + 3  2t
3. 8 + 5r  5 + 8r
4. 6  4c + 6c
5. 10m  5 + 6  10m
1. 2x + 5x
2. 6t + 3  2t
3. 8 + 5r  5 + 8r
4. 6  4c + 6c
5. 10m  5 + 6  10m
Level 2  Write and Identify Equivalent Expressions (Distributive and Commutative Properties)
Watch the introductory video on writing equivalent expressions using the distributive property.
enVision  Topic 3, Lesson 36, MathXL for School: Practice and Problem Solving
Mandatory Conversation  Copy an example problem from the video above in your math notebook. Explain your understanding of the problem to the teacher.
Mandatory Task 1 ($100)  Copy and correctly complete the simplifying variable expressions worksheet in your math notebook. Show the teacher once you have finished this task!!!
Mandatory Task 2 ($100)  Copy and correctly complete the worksheet in your math notebook. Factor out the GCF for each problem to create an equivalent expression using the distributive property. Show the teacher once you have finished this task!!!
Task 3 ($100)  Copy and correctly complete the simplifying variable expressions worksheet in your math notebook. Show the teacher once you have finished this task!!!
Task 4 ($100)  Click the button below to log into Buzz Math. Open the 6th grade book. Click on the "expressions and equations  algebraic expressions" tab on the left side of the page. Then, click on "understanding equivalent expressions and the distributive property." Correctly complete all 10 problems. Show the teacher once you have finished this task!!!
Task 5 ($100)  Click the button below to log into Khan Academy. Search "distributive property with variables." Get 5 correct in a row. Show the teacher once you have finished this task!!!
Task 6 ($100)  Create a video of you writing an equivalent expression using the distributive property. Show the teacher once you have finished this task!!!
Exit Slip
Solve.
1. Use the distributive property to determine if the two expressions are equivalent? Explain. 2(3x5) = 6x  10
2. Use the distributive property to create an equivalent expression. 6(3 + 5y)
3. With the distributive property in mind, factor out the greatest common factor to create an equivalent expression. Your answer should look similar to question #2. 25x + 15
4. Jamal bought 2 packs of stickers and 8 individual stickers. Use x to represent the number of stickers in a pack of stickers and write an expression to represent the number of stickers Jamal bought. Is the expression equivalent to 2(4 + x)?
1. Use the distributive property to determine if the two expressions are equivalent? Explain. 2(3x5) = 6x  10
2. Use the distributive property to create an equivalent expression. 6(3 + 5y)
3. With the distributive property in mind, factor out the greatest common factor to create an equivalent expression. Your answer should look similar to question #2. 25x + 15
4. Jamal bought 2 packs of stickers and 8 individual stickers. Use x to represent the number of stickers in a pack of stickers and write an expression to represent the number of stickers Jamal bought. Is the expression equivalent to 2(4 + x)?
Reteach  Follow the steps provided below
1. Select and watch one of the reteach videos provided below.
2. If you understand the concept then you can move on to the reteach tasks.
3. If you are still struggling to grasp the concept then choose a different reteach video to watch. Find the video that makes the most sense to you. Once you understand the concept then complete the reteach tasks.
1. Select and watch one of the reteach videos provided below.
2. If you understand the concept then you can move on to the reteach tasks.
3. If you are still struggling to grasp the concept then choose a different reteach video to watch. Find the video that makes the most sense to you. Once you understand the concept then complete the reteach tasks.

Reteach Task 1 ($50)  Correctly complete the problems below.
Reteach Task 2 ($50)  Determine if the expressions below are equivalent or not equivalent.
1. 4(5x + 2) = 20x + 8 Yes or No
2. 12n  8 = 2(6n + 4) Yes or No
3. 5(3 + 8r) = 15 + 40r Yes or No
4. 60 + 10y = 10(1 + 6y) Yes or No
5. 8h + 20 = 2(4h + 10) Yes or No
1. 4(5x + 2) = 20x + 8 Yes or No
2. 12n  8 = 2(6n + 4) Yes or No
3. 5(3 + 8r) = 15 + 40r Yes or No
4. 60 + 10y = 10(1 + 6y) Yes or No
5. 8h + 20 = 2(4h + 10) Yes or No
Level 3  Substituting Variables to Solve Expressions
Watch the introductory video on substituting variables to solve expressions.
enVision  Topic 3, Lesson 35, MathXL for School: Practice and Problem Solving
Mandatory Conversation  Copy an example problem from the video above in your math notebook. Explain your understanding of the problem to the teacher.
Mandatory Task 1 ($100)  Copy and correctly complete the substituting variables worksheet in your math notebook. Show the teacher once you have finished this task!!!
Task 2 ($100)  Click the button below to log into Buzz Math. Open the 6th grade book. Click on the "expressions and equations  algebraic expressions" tab on the left side of the page. Then, click on "evaluating algebraic expressions." Correctly complete all 10 problems. Show the teacher once you have finished this task!!!
Task 3 ($100)  Click the button below to log into Khan Academy. Search "evaluating expressions with one variable." Get 5 correct in a row. Show the teacher once you have finished this task!!!
Task 4 ($100)  Click the button below to log into Khan Academy. Search "evaluating expressions with two variables." Get 5 correct in a row. Show the teacher once you have finished this task!!!
Task 5 ($100)  Watch the example video below. Create your own video of you substituting variables to solve an expression. The expression must include at least two different variables. Show the teacher once you have finished this task!!!
Exit Slip
Solve.
1. If m = 1.5, what is 9 + m?
2. If a = 4 and b = 5, what is 3a  b?
3. Marjorie evaluated the expression 3x + 2, when x = 5 as shown: 3x + 2 = 35 + 2 = 37. What was Marjorie's mistake? What is the correct value of 3x + 2 when x = 5?
4. The area of a triangular sail is given by the expression 0.5(b)(h), where b is the length of the base and h is the height. What is the area of a triangular sail in a model sailboat when b = 12 inches and h = 7 inches?
1. If m = 1.5, what is 9 + m?
2. If a = 4 and b = 5, what is 3a  b?
3. Marjorie evaluated the expression 3x + 2, when x = 5 as shown: 3x + 2 = 35 + 2 = 37. What was Marjorie's mistake? What is the correct value of 3x + 2 when x = 5?
4. The area of a triangular sail is given by the expression 0.5(b)(h), where b is the length of the base and h is the height. What is the area of a triangular sail in a model sailboat when b = 12 inches and h = 7 inches?
Reteach  Follow the steps provided below
1. Select and watch one of the reteach videos provided below.
2. If you understand the concept then you can move on to the reteach tasks.
3. If you are still struggling to grasp the concept then choose a different reteach video to watch. Find the video that makes the most sense to you. Once you understand the concept then complete the reteach tasks.
1. Select and watch one of the reteach videos provided below.
2. If you understand the concept then you can move on to the reteach tasks.
3. If you are still struggling to grasp the concept then choose a different reteach video to watch. Find the video that makes the most sense to you. Once you understand the concept then complete the reteach tasks.

Reteach Task 1 ($50)  Correctly complete the problems below.
Reteach Task 2 ($50)  Substitute to solve the problems below if x = 3 and y = 5.
1. 5x 10 =
2. 8y  3x =
3. 40 + x  2y =
4. 6x + 4y =
5. 25  6x + 9y =
1. 5x 10 =
2. 8y  3x =
3. 40 + x  2y =
4. 6x + 4y =
5. 25  6x + 9y =
Level 4  Create and Solve OneStep NonNegative Addition, Subtraction, Multiplication, and Division Equations.
Watch the introductory videos on solving onestep equations. You must understand the process of solving the equations. You must be able to show your work as described by the video and your teacher!
enVision  Topic 4, Lesson 43, MathXL for School: Practice and Problem Solving
enVision  Topic 4, Lesson 44, MathXL for School: Practice and Problem Solving
Mandatory Conversation  Copy an example problem from the video above in your math notebook. Explain your understanding of the problem to the teacher.
Mandatory Task 1 ($50)  Copy and correctly complete the onestep equations worksheet in your math notebook. You must show work using a balanced equation. Show the teacher once you have finished this task!!!
Mandatory Task 2 ($50)  Copy and correctly complete the onestep equations worksheet in your math notebook. You must show work using a balanced equation. Show the teacher once you have finished this task!!!
Mandatory Task 3 ($50)  Copy and correctly complete the onestep equations worksheet in your math notebook. You must show work using a balanced equation. Show the teacher once you have finished this task!!!
Task 4 ($50)  Click the button below to log into Buzz Math. Open the 6th grade book. Click on the "expressions and equations: equations and inequalities" tab on the left side of the page. Then, click on "solving onestep equations: introduction." Correctly complete all 10 problems. Show the teacher once you have finished this task!!!
Task 5 ($50)  Click the button below to log into Buzz Math. Open the 6th grade book. Click on the "expressions and equations: equations and inequalities" tab on the left side of the page. Then, click on "solving onestep equations." Correctly complete all 10 problems. Show the teacher once you have finished this task!!!
Task 6 ($50)  Click the button below to log into Khan Academy. Search "onestep equation intuition." Get 5 correct in a row. Show the teacher once you have finished this task!!!
Task 7 ($50)  Click the button below to log into Khan Academy. Search "onestep equations with addition and subtraction." Get 5 correct in a row. Show the teacher once you have finished this task!!!
Task 8 ($50)  Click the button below to log into Khan Academy. Search "onestep addition and subtraction equations with decimals and fractions." Get 5 correct in a row. Show the teacher once you have finished this task!!!
Task 9 ($50)  Click the button below to log into Khan Academy. Search "onestep equations with multiplication and division." Get 5 correct in a row. Show the teacher once you have finished this task!!!
Task 10 ($50)  Click the button below to log into Khan Academy. Search "onestep multiplication and division equations with fractions and decimals." Get 5 correct in a row. Show the teacher once you have finished this task!!!
Task 11 ($50)  Create a video of you solving four onestep equations. The video must include an addition, subtraction, multiplication, and division equation. Show the teacher once you have finished this task!!!
Exit Slip
Solve.
1. Use a balanced equation to solve for the missing variable. y  21 = 18
2. Use a balanced equation to solve for the missing variable. 9x = 963
3. Write a realworld problem for the equation x  75 = 200.
4. My sister's age is 14 years old. My brother says that his age minus twelve is equal to my sister's age. Write an equation and use a balanced equation to solve for my brother's age.
1. Use a balanced equation to solve for the missing variable. y  21 = 18
2. Use a balanced equation to solve for the missing variable. 9x = 963
3. Write a realworld problem for the equation x  75 = 200.
4. My sister's age is 14 years old. My brother says that his age minus twelve is equal to my sister's age. Write an equation and use a balanced equation to solve for my brother's age.
Reteach  Follow the steps provided below
1. Select and watch one of the reteach videos provided below.
2. If you understand the concept then you can move on to the reteach tasks.
3. If you are still struggling to grasp the concept then choose a different reteach video to watch. Find the video that makes the most sense to you. Once you understand the concept then complete the reteach tasks.
1. Select and watch one of the reteach videos provided below.
2. If you understand the concept then you can move on to the reteach tasks.
3. If you are still struggling to grasp the concept then choose a different reteach video to watch. Find the video that makes the most sense to you. Once you understand the concept then complete the reteach tasks.

Reteach Task 1 ($50)  Use a balanced equation to correctly solve each 1 step equation.
1. 5 + r = 21
2. m  28 = 40
3. 6x = 150
4. m / 8 = 3
1. 5 + r = 21
2. m  28 = 40
3. 6x = 150
4. m / 8 = 3
Reteach Task 2 ($50)  Use a balanced equation to correctly solve each 1 step equation.
Level 5  Solving and Graphing Inequalities
Watch the introductory video on solving and graphing inequalities.
enVision  Topic 4, Lesson 46, MathXL for School: Practice and Problem Solving
enVision  Topic 4, Lesson 47, MathXL for School: Practice and Problem Solving
Mandatory Conversation  Copy an example problem from the video above in your math notebook. Explain your understanding of the problem to the teacher.
Mandatory Task 1 ($100)  Copy and correctly complete the inequality worksheet in your math notebook. Show the teacher once you have finished this task!!!
Task 2 ($50)  Click the button below to log into Khan Academy. Search "testing solutions of inequalities." Get 5 correct in a row. Show the teacher once you have finished this task!!!
Task 3 ($50)  Click the button below to log into Khan Academy. Search "inequalities on a number line." Get 5 correct in a row. Show the teacher once you have finished this task!!!
Task 4 ($100)  Click the button below to log into Buzz Math. Open the 6th grade book. Click on the "expressions and equations: equations and inequalities" tab on the left side of the page. Then, click on "solving and graphing onestep inequalities with addition and subtraction." Correctly complete all 10 problems. Show the teacher once you have finished this task!!!
Task 5 ($100)  Click the button below to log into Buzz Math. Open the 6th grade book. Click on the "expressions and equations: equations and inequalities" tab on the left side of the page. Then, click on "solving and graphing onestep inequalities with multiplication and division." Correctly complete all 10 problems. Show the teacher once you have finished this task!!!
Task 6 ($100)  Click the button below to log into Khan Academy. Search "writing inequalities to describe realworld situations." Get 5 correct in a row. Show the teacher once you have finished this task!!!
Task 7 ($100)  Create a video of you solving four onestep inequalities and graphing the solutions on a number line. The video must include an addition, subtraction, multiplication, and division inequality. You must also use at least two different inequality symbols. Show the teacher once you have finished this task!!!
Exit Slip
Solve.
1. Graph the inequality. t < 8
2. A number line has a filled in circle on the number 2 with an arrow pointing to the left. Write an inequality that matches the number line described.
3. Solve and graph the inequality. 3x > 18
4. A child must be at least 48 inches tall to ride a roller coaster.
a. Write and graph an inequality to represent this situation.
b. Can a child who is 46 inches tall ride the roller coaster? Explain.
1. Graph the inequality. t < 8
2. A number line has a filled in circle on the number 2 with an arrow pointing to the left. Write an inequality that matches the number line described.
3. Solve and graph the inequality. 3x > 18
4. A child must be at least 48 inches tall to ride a roller coaster.
a. Write and graph an inequality to represent this situation.
b. Can a child who is 46 inches tall ride the roller coaster? Explain.
Reteach  Follow the steps provided below
1. Select and watch one of the reteach videos provided below.
2. If you understand the concept then you can move on to the reteach tasks.
3. If you are still struggling to grasp the concept then choose a different reteach video to watch. Find the video that makes the most sense to you. Once you understand the concept then complete the reteach tasks.
1. Select and watch one of the reteach videos provided below.
2. If you understand the concept then you can move on to the reteach tasks.
3. If you are still struggling to grasp the concept then choose a different reteach video to watch. Find the video that makes the most sense to you. Once you understand the concept then complete the reteach tasks.

Reteach Task 1 ($50)  Correctly complete the worksheet below.
Reteach Task 2 ($50)  Solve and graph each inequality below.
1. 6x < 18
2. 5 + m > 12
3. y  8 < 13
4. n / 4 > 10
1. 6x < 18
2. 5 + m > 12
3. y  8 < 13
4. n / 4 > 10
Bonus Level
Task 1 ($400)  For this task you will be responsible for creating a learning aid for your classmates and future 6th grade students. Follow the steps below to complete this task.
Steps
1. Click on the link to the Procedure Chart. Share the chart with your teacher in order to get it printed off.
2. Create an addition, subtraction, multiplication, and division equation in each box.
3. Use colored pencils or highlighters to color code and label the steps used to solve each equation. The work shown to find the solution must be of a balanced equation.
Task 2 ($300)  Writing Equations to Represent Situations
An equation is a mathematical statement that two expressions are equal. An equation may or may not contain variables. For an equation that has a variable, a solution of the equation is a value of the variable that makes the equation true.
Represent these realworld situations with an equation that has a variable. Then solve each using a balanced equation. Substitute your solution for the missing variable in the equation to ensure it is the correct answer.
1. Marilyn has a fish tank that contains 38 fish. There are 9 goldfish and f other fish.
2. Juanita has 102 beads to make n necklaces. Each necklace will have 17 beads.
3. Craig is c years old. His 12year old sister Kaitlin is 3 years younger than Craig.
4. Kim rented skates for h hours. The rental fee was $2 per hour and she paid a total of $8.
5.In the school band, there are 5 trumpet players and f flute players. There are twice as many flute players as there are trumpet players.
6. In a given amount of time, Jamie drove twice as far as Rhonda. Altogether they drove 90 miles. Find the number of miles driven by each.
7. On an algebra test, the highest score was 42 points higher than the lowest grade. The sum of the two grades was 138. Create an equation to find the lowest score.
Steps
1. Click on the link to the Procedure Chart. Share the chart with your teacher in order to get it printed off.
2. Create an addition, subtraction, multiplication, and division equation in each box.
3. Use colored pencils or highlighters to color code and label the steps used to solve each equation. The work shown to find the solution must be of a balanced equation.
Task 2 ($300)  Writing Equations to Represent Situations
An equation is a mathematical statement that two expressions are equal. An equation may or may not contain variables. For an equation that has a variable, a solution of the equation is a value of the variable that makes the equation true.
Represent these realworld situations with an equation that has a variable. Then solve each using a balanced equation. Substitute your solution for the missing variable in the equation to ensure it is the correct answer.
1. Marilyn has a fish tank that contains 38 fish. There are 9 goldfish and f other fish.
2. Juanita has 102 beads to make n necklaces. Each necklace will have 17 beads.
3. Craig is c years old. His 12year old sister Kaitlin is 3 years younger than Craig.
4. Kim rented skates for h hours. The rental fee was $2 per hour and she paid a total of $8.
5.In the school band, there are 5 trumpet players and f flute players. There are twice as many flute players as there are trumpet players.
6. In a given amount of time, Jamie drove twice as far as Rhonda. Altogether they drove 90 miles. Find the number of miles driven by each.
7. On an algebra test, the highest score was 42 points higher than the lowest grade. The sum of the two grades was 138. Create an equation to find the lowest score.
Watch the introductory video above prior to completing tasks 3, 4, and 5.
Task 3 ($200)  Click the button below to log into Buzz Math. Open the 7th grade book. Click on the "expressions and equations: equations and inequalities" tab on the left side of the page. Then, click on "solving one step and two step equations." Correctly complete all 10 problems. Show the teacher once you have finished this task!!
Task 4 ($200)  Click the button below to log into Buzz Math. Open the 7th grade book. Click on the "expressions and equations: equations and inequalities" tab on the left side of the page. Then, click on "solving one step and two step equations with decimals." Correctly complete all 10 problems. Show the teacher once you have finished this task!!
Task 5 ($200)  Click the button below to log into Buzz Math. Open the 7th grade book. Click on the "expressions and equations: equations and inequalities" tab on the left side of the page. Then, click on "using one step and two step equations to solve problems." Correctly complete all 10 problems. Show the teacher once you have finished this task!!