PowerPoint Presentation
Defining SuccessSolving One-Step and Two-Step
EquationsM.8.EE.7CCSS.MATH.CONTENT.8.EE.C.7
Defining success:Solving one-step and two-step equations. Math
8, Unit 5, Lesson 1.1In 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.2ModelingYou 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 =
10.3ModelingAddition 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.
4ModelingAdditive Inverse Property and Additive Identity Property4x
+ 0 = 10
=
Demonstrate the additive inverse by taking away those zero
pairs. 4x + 0 = 10, which demonstrates the additive identity
property.5ModelingDivision Property of Equality and Multiplicative
Inverse Property4x = 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 on both sides, which is the
multiplicative inverse property.6ModelingMultiplicative Identity
Property1x = 3X = 3
=
Finally, you will be able to demonstrate the multiplicative
inverse property, showing how one unknown variable is equal to
three units. 7After completing this lesson, you should be able
todemonstrate 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 Equality4x + 0 = 12 Additive Inverse Property
4x = 12 Additive Identity Property Division Property of Equality 1x
= 3 Multiplicative Inverse Property x = 3 Multiplicative Identity
Property LETS 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 lets get started.8
