# Ch 2: Common Core HS Algebra: Linear Equations

Find lessons for high school algebra. These lessons meet the Common Core Mathematics standards for linear equations (CCSS.Math.Content.HSA-REI.A.1; CCSS.Math.Content.HSA-REI.B.3; CCSS.Math.Content.HSA-REI.D.10; CCSS.Math.Content.HSA-CED.A.1; CCSS.Math.Content.HSA-CED.A.; CCSS.Math.Content.HSA-CED.A.4).

Standard: Explain each step in solving a simple equation as following from the equality of numbers asserted at the previous step, starting from the assumption that the original equation has a solution. Construct a viable argument to justify a solution method. (CCSS.Math.Content.HSA-REI.A.1)

Standard: Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters. (CCSS.Math.Content.HSA-REI.B.3)

Standard: Understand that the graph of an equation in two variables is the set of all its solutions plotted in the coordinate plane, often forming a curve (which could be a line). (CCSS.Math.Content.HSA-REI.D.10)

Standard: Create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear and quadratic functions, and simple rational and exponential functions. (CCSS.Math.Content.HSA-CED.A.1)

Standard: Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales. (CCSS.Math.Content.HSA-CED.A.2)

Standard: Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations. (CCSS.Math.Content.HSA-CED.A.4)

Students who have mastered these standards are able to explain and write linear equations. When working with linear equations, they will be able to solve them with or without letter coefficients.

Lessons in this standard cover concepts such as:

• Using linear equations to solve problems
• Solving problems with implicit equations
• Graphing linear equations
• Representing undefined and zero slopes on a graph

Students demonstrate mastery of this standard when working with and identifying the different parts of a graph when charting linear equations. Mastery of this standard supports their career and education because linear equations are found in many aspects of algebra. Linear equations can be used to help predict real life patterns.

### How to Use These Lessons in Your Classroom

Here are some tips for how to use the lessons to support instruction in these standards:

#### Graph Parts Identification Lessons

Create a worksheet that has a graph and blank labels pointing to different parts of a graph. Exhibit the video lesson 'What are the Different Parts of a Graph?' Have the students fill the graph worksheet out while they're watching the video.

#### Writing Linear Equations Lessons

Develop a worksheet with questions that provides your students with enough information to assemble linear equations. After passing out the worksheet, watch the video 'How to Write a Linear Equation.' Separate the students into groups of 2 or 3. Allow your students to have time to complete the worksheet. Call on students to write their results on the board.

#### Graphing Linear Equations

After your students complete the previous exercise, have them watch the 'Linear Equations: Intercepts, Standard Form and Graphing' video lesson. Provide the groups with graph paper and assign each group a linear equation to use. When each group has completed graphing their linear equation, discuss the results and collect each group's graphing sheet.

9 Lessons in Chapter 2: Common Core HS Algebra: Linear Equations
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Chapter Practice Exam
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Practice Final Exam
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