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Creating Equations

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Featured Layouts

When students complete the activities in this lesson plan, they will use the following comic layout types.

• Comic Strip
• Storyboard
• Graphic Novel

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Creating Equations

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• Table
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Teacher Guide

Creating Equations

Step 1Class discussion with students

Getting Started

A fun way to introduce equations is with a math game called "Magic Squares."

In Magic Squares, the player is presented with an empty 3 × 3 grid and has to write the numbers 1-9, one number per cell, such that the sums of each row and each column are all the same.

Start your class with a magic square that has the numbers 2, 9, 4 in the top row, 5 in the very middle space, and 6 in the lower left space. The first row tells the player that the required sum for each row and column is 15. Using the middle column, a player can calculate the number in the middle of the bottom row, using the equation 9 + 5 + X = 15. Using proper algebraic procedures, place a -9 and -5 on both sides of the equation to isolate X. It's important that your students understand how to add and subtract integers when calculating the answer.

Let your class go from there. Students can then use the same method to solve for the remaining squares.

Opening Discussion

Equations are a useful tool when solving for an unknown variable. They can be useful when completing everyday activities such as going to the bank or renting a car.

Equations always include:

• one or more variables
• one or more constants
• one or more coefficients
• an 'equals' sign

Write an equation on the board and highlight the specific parts listed above. Construct an equation with your class that represents an activity that your students can relate to, for example, going to the state fair:

Johnny goes to the state fair and spends \$8 to enter the fairgrounds. To go on the rides, Johnny must buy coupons that cost \$2 per ticket. If Johnny spends \$32 at the fair, how many coupons did he buy?

• The equation would be written as: 8 + 2x = 32
• Isolate x by subtracting 8 from both sides: -8 +8 +2x = 32 - 8 or 2x = 24
• Remove the coefficient (2) by dividing both sides of the equation by that number: 2x / 2 = 24 / 2 or x = 12
• The unknown number, x, is therefore 12

Extra Practice

• 4x + 6 = 26 (5)
• 2x - 9 = 31 (20)
• x/4 + 2 = 6 (16)
• 2x/3 + 6 = 10 (6)
• 5x + 8 - 18 = 0 (2)
• 5(x + 3) - 10 = 20 (3)
Step 2Pixton comic-making activities
• Make a Graphic Novel, Storyboard, or ...
Equations in Everyday Life

• Make a Storyboard
Equations in Science

• Extension / Modification
Challenge (Extension / Modification)

Solve questions with x and y variables (functions) where the y variable can be substituted with an equation containing x, e.g. 2x + 3y = 12 where y = 2x +3.

• Extension / Modification
Explore (Extension / Modification)

Have students create their own algebra "color by number" activity sheet.

Step 3Concluding discussion with students

Understanding equations is an essential skill. Explore a variety of science equations by manipulating the equation so that every variable has been solved for. Examples of scientific equations include:

• Ohm’s Law
• concentration
• molarity
• velocity
• speed
• pressure
• kinetic energy
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Pixton Activity: Creating Equations 1 Equations in Everyday Life

Featured Layouts

• Comic Strip
• Storyboard
• Graphic Novel

Instructions

Create a comic that illustrates how algebra is useful in doing everyday calculations.

• Develop an equation that is applicable to an activity in your everyday life.
• Brainstorm a situation in which you equation would be useful, e.g. renting a car, buying in bulk, paying taxes.
• Do not include the answer in your comic strip, but provide it on a separate sheet of paper.

See the rubric for grading guidelines.

Rubric: Equations in Everyday Life

Use this interactive rubric for easy, thorough assessment. It can even be used by students for self-assessment!

Example Comic Strip

Equations in Everyday Life by Student

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Pixton Activity: Creating Equations 2 Equations in Science

• Storyboard

Instructions

Create a Storyboard illustrating the use of two equations in each of the following areas:

• Physics
• Chemistry
• Biology

Search the Internet, browse textbooks, or ask a classmate to find examples of equations.

Each panel should include:

• the name of the equation in the title
• the equation itself
• an appropriate visual

See the rubric for grading guidelines.

Rubric: Equations in Science

Use this interactive rubric for easy, thorough assessment. It can even be used by students for self-assessment!