Solving One-Step and Two-Step Equations

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Presentation transcript:

Solving One-Step and Two-Step Equations Defining Success Solving One-Step and Two-Step Equations M.8.EE.7 CCSS.MATH.CONTENT.8.EE.C.7 Defining success: Solving one-step and two-step equations. Math 8, Unit 5, Lesson 1.

In this lesson we will: Model how to solve one-step and two-step equations. Justify reasoning by using properties of equality. Demonstrate how to solve equations concretely and abstractly. In this lesson we will model how to solve one-step and two step equations, justify reasoning by using properties of equality, and demonstrate how to solve equations concretely and abstractly.

Modeling You will be able model an equation while explaining the steps it takes to reach a solution. 4x – 2 = 10 = You will be able to model an equation while explaining the steps it takes to reach a solution. For example 4x – 2 = 10.

Modeling Addition Property of Equality 4x – 2 = 10 = Demonstrate the Addition Property of Equality to add to both sides. We are doing this in order to create zero pairs.

Modeling Additive Inverse Property and Additive Identity Property 4x + 0 = 10 = Demonstrate the additive inverse by taking away those zero pairs. 4x + 0 = 10, which demonstrates the additive identity property.

Modeling Division Property of Equality and Multiplicative Inverse Property 4x = 12 = Demonstrate the Division Property of Equality by forming 4 groups in order to isolate the variable. Here are your four groups of three. When you divide these into groups of 4 groups it is similar to multiplying by ¼ on both sides, which is the multiplicative inverse property.

Modeling Multiplicative Identity Property 1x = 3 X = 3 = Finally, you will be able to demonstrate the multiplicative inverse property, showing how one unknown variable is equal to three units.

LET’S GET STARTED! 4x – 2 = 10 +2 +2 Addition Property of Equality After completing this lesson, you should be able to demonstrate how to solve one-step and two-step equations and justify reasoning by using properties of equality. 4x – 2 = 10 +2 +2 Addition Property of Equality 4x + 0 = 12 Additive Inverse Property 4x = 12 Additive Identity Property Division Property of Equality 1x = 3 Multiplicative Inverse Property x = 3 Multiplicative Identity Property LET’S GET STARTED! After completing this lesson, you should be able to demonstrate how to solve one-step and two-step equations and justify reasoning by using properties of equality. For example, our modeling situation in the last slide showed how to use all the properties of equality. Now let’s get started.