Algebra – Help Packets



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Algebra – Help Packets




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Expressions – Level 1

This four page packet introduces expressions. It explains what constants, variables, and expressions are and the
difference between the three types of expressions (verbal, numerical, and algebraic expressions).



Key concept: Expressions help us connect words to mathematics. Students need to be able to take important information in a word problem and
create a mathematical expression to form a solution.

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Input – Output Tables – Level 1

This three page mini-packet introduces input-output tables. It uses pictures to explain the basic concept of the tables.
Students complete the tables by drawing pictures and filling in the correct amounts.



Student misunderstanding: The relationship is between the input and output values. Use the fish problem on pages 2 to help explain.
Yes, there is a pattern in the output (add 2), but the rule explains the relationship between the input / output numbers.

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Commutative and Associative Properties – All Levels

This five page packet covers the Commutative and Associative Properties of addition and multiplication.
Students learn that the order and groups can be changed, but the final answer will stay the same.



Key concept: Students need to learn that they can move numbers and regroup to make expressions and equations
easier to solve.



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First Page of Commutative and Associative Properties 
		All Levels



Intro to Variables – Level 1

This four page packet introduces variables to students. It relates the empty box concept
to letters. The problems are designed for mental math and no moving or opposite operations are needed.



Student misunderstanding: Lots of children panic when they see a variable for the first time, but
understand the empty box concept. Use the box as a bridge to variables.



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First Page of Intro to Variables Packet - Level 1



Solving One Step Equations – Level 1
Add / Subtract – Traditional Method

This four page packet shows students how to solve one step equations using the opposite
operation method (traditional method).



Student misunderstanding: Equals means the same, and we can alter an equation as long as we
do the exact same thing to both sides.




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First Page of Solving One Step Equations - Level 1



Solving One Step Equations – Level 1
Add / Subtract – Alternative Method

This packet shows students how to solve one step equations using a method we call the
Arrow Method. It uses the idea that letters and numbers do not get along, and they want to be on opposite sides of the
wall (equal sign).



Key concept: Helps students understand which number to move. Ask the question, “Who can we move to make
everyone happy?”

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First Page of Solving One Step Equations - Level 1



Solving One Step Equations – Level 1 Multiply / Divide

Traditional Method

This four page packet shows students how to solve one step equations using the opposite
operation method (traditional method).



Student misunderstanding: Equals means the same, and we can alter an equation as long as we
do the exact same thing to both sides.



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First Page of Solving One Step Equations - Level 1



Solving One Step Equations – Level 1 Multiply / Divide

Alternative Method

This packet shows students how to solve one step equations using a method we call the
Arrow Method. It uses the idea that letters and numbers do not get along, and they want to be on opposite sides of the
wall (equal sign).



Key concept: Helps students understand which number to move. Ask the question, “Who can we move to make
everyone happy?”

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First Page of Solving One Step Equations - Level 1



Solving Equations – Additional Help

This packet is designed for students who have a basic knowledge of solving one and two step
equations. It is for the students who struggle on which operation to do first and second, and uses a simple tactic to show equations
in a different perspective.



Key concept: Helps students better understand which number to move. Uses happy and unhappy faces to
mark numbers and variables for better perception.



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First Page of Additional Help with Equations - ALL LEVELS





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