# Solving the Unknown with Algebra

## Pre-Algebra Skills: Using Formulas, Solving for Unknowns, and Manipulation of Equations

Welcome to "Solving the Unknown with Algebra," a new math program aligned with NCTM standards and designed to help students practice pre-algebra skills including using formulas, solving for unknowns, and manipulating equations. Follow the adventures of Rick and Athena as they solve real-world questions through powerful mathematical thinking!

Developed by The Actuarial Foundation with Scholastic, this program provides skill-building activities that use mathematics for real purposes, while motivating students to achieve success in the classroom and in real-world situations outside of school.

Each of the three lessons below is accompanied by fun printables that include a lesson worksheet, bonus worksheet, and take-home activity.

### Lesson Plans

Lesson 1: Using Mathematical Models/Proportions

Students will understand how an equation works like a scale, with the equal sign serving as the balancing point.

Students will understand how an equation works like a scale, with the equal sign serving as the balancing point.

Lesson 2: Analyzing Change/Growth and Decay Formula

Students will be able to identify what interest is as it pertains to saving and investing, and apply the compound interest formula (i.e., the growth and decay formula).

Students will be able to identify what interest is as it pertains to saving and investing, and apply the compound interest formula (i.e., the growth and decay formula).

Lesson 3: Functions and Formulas/Square Roots

In this lesson, students will understand what a square root is and that squares and square roots are inverse operations and can be used to manipulate equations as long as "whatever is done to one side of the equation is done to the other."

In this lesson, students will understand what a square root is and that squares and square roots are inverse operations and can be used to manipulate equations as long as "whatever is done to one side of the equation is done to the other."