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Solutions to Equations and Inequalities Guided Notes with Doodles | 6.EE.B.5
$4.25
Overview
- Standards: CCSS 6.EE.B.5, CCSS 6.EE.B.6
- Unit: 6th Grade → Unit 6: Equations & Inequalities
- Grade: 6th Grade
Get the Lesson Materials
Solutions to Equations and Inequalities Guided Notes with Doodles | 6.EE.B.5
$4.25
Learning Objectives
After this lesson, students will be able to:
- Use substitution to determine whether a given number in a specified set makes an equation true
- Use substitution to determine whether a given number in a specified set makes an inequality true
Prerequisites
Before this lesson, students should be familiar with:
- Basic operations with positive whole numbers and decimals
- Understanding the concept of variables and their role in equations
- Basic knowledge of the order of operations
Materials
- Pencils
- Colored pencils or markers
- Equations and Inequalities Guided Notes
Key Vocabulary
- Substitution
- Equations
- Inequalities
- Solutions
- Variables
- Coefficients
- Constants
- Expressions
Procedure
Introduction
As a hook, ask students why solving equations and inequalities is important in real life. Refer to the last page of the guided notes for ideas.
Use the first page of the guided notes to introduce the concept of substitution and how it can be used to determine solutions for equations. Then use the second page of the guided notes to introduce how to determine solutions for inequalities by substitution. Walk through the key points of using substitution, including replacing a variable with a given number and checking if the equation or inequality is true.
Based on student responses, reteach concepts that students need extra help with. If your class has a wide range of proficiency levels, you can pull out students for reteaching, and have more advanced students begin work on the practice exercises.
Practice
Have students practice using substitution to determine solutions for equations and inequalities using the practice section included on page 1-2 of the guided notes. Walk around the classroom to answer any student questions and provide support as needed.
Fast finishers can further solidify their understanding by completing the maze activity (page 3) and color by number activity (page 4) included in the guided notes resource. You can assign it as homework for the remainder of the class.
Real-Life Application
Use the last page of the guided notes to bring the class back together, and introduce the concept of real-world application of using substitution to determine solutions for equations and inequalities. Provide examples of situations in which this concept can be applied in daily life, such as budgeting or finding the best deals while shopping. Discuss how substitution can be used to solve equations or inequalities to find the value of a variable that satisfies a given condition.
Extensions
Additional Self-Checking Digital Practice
If you’re looking for digital practice for Equations and Inequalities using substitution, try my Pixel Art activities in Google Sheets. Every answer is automatically checked, and correct answers unlock parts of a mystery picture. It’s incredibly fun, and a powerful tool for differentiation.
Here’s 1 activity to explore:
FAQs
Substitution is a method used to determine whether a given number in a specified set makes an equation or inequality true. It involves replacing a variable in an equation or inequality with a specific value and then evaluating if the equation or inequality is still true.
To use substitution to solve an equation, follow these steps:
- Identify the variable in the equation.
- Solve one of the equations for the variable in terms of the other variable(s).
- Substitute the solved expression for the variable in the other equation.
- Simplify and solve for the remaining variable.
- Check the solution by substituting it back into the original equation.
To use substitution to solve an inequality, follow these steps:
- Identify the variable in the inequality.
- Solve one of the inequalities for the variable in terms of the other variable(s).
- Substitute the solved expression for the variable in the other inequality.
- Simplify and solve for the remaining variable.
- Check the solution by substituting it back into the original inequality.
Some real-life applications of substitution in math include:
- Substituting values into formulas in science experiments.
- Calculating the cost of items using discounts or coupons.
- Solving problems related to distance, time, and speed in physics.
- Determining the monthly payment on a loan using an interest rate formula.
Substitution is helpful in solving equations and inequalities because it allows us to find the values of variables that make the equation or inequality true. By replacing variables with specific values, we can simplify the equations or inequalities and find solutions.