# 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.

## 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.

## 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.

## 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.

## Solving One Step Equations - Level 1Add / 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.

## Solving One Step Equations - Level 1Add / 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?"

## 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.

## 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?"