Type:

E-book, Lesson Plan

Description:

This lesson introduces the concept of systems of linear equations by relying on the graphical interpretation. Students will come to understand that a system is "two or more equations plotted on the same set of axes". In subsequent lessons, this concept will be developed and nuanced to include any two equations whose variables represent the same quantities.

Subjects:

  • Mathematics > General
  • Mathematics > Algebra
  • Mathematics > Equations
  • Mathematics > Graphing

Education Levels:

  • Grade 6
  • Grade 7
  • Grade 8
  • Grade 9
  • Grade 10

Keywords:

Algebra Linear Equations Graphing

Language:

English

Access Privileges:

Members

License Deed:

Creative Commons Attribution 3.0

Collections:

None
Update Standards?

MA.8-9.TA.2.a: Mathematics

Given a literal equation, solve for a specified variable of degree one.

MA.8-9.TA.2.b: Mathematics

Explain and illustrate how changes in one variable may result in a change in another variable.

MA.8-9.TA.2.c: Mathematics

Solve and check multi-step equations and inequalities, including distributive property, variables on both sides, and rational coefficients.

MA.8-9.TA.2.d: Mathematics

Use real-world data to express slope as a rate of change.

MA.8-9.TA.2.e: Mathematics

Graph solutions to linear inequalities.

MA.8-9.TA.2.f: Mathematics

Write linear equations given slope and y-intercept or two points.

MA.8-9.TA.2.g: Mathematics

Identify domain, range, slope, and intercepts of functions.

MA.8-9.TA.2.h: Mathematics

Develop generalizations to characterize the behaviors of graphs (linear, quadratic, and absolute value).

MA.8-9.TA.2.i: Mathematics

Classify and determine degree of a polynomial and arrange polynomials in ascending or descending order of a variable.

MA.8-9.TA.2.j: Mathematics

Apply ratios and use proportional reasoning to solve real-world algebraic problems.

MA.8-9.TA.2.k: Mathematics

Add, subtract, multiply, and divide polynomial expressions.

MA.8-9.TA.2.l: Mathematics

Analyze the relationship between x and y values, and determine whether a relation is a function.

MA.8-10.AI.2.a: Mathematics

Solve, check, and graph multi-step linear equations and inequalities in one variable, including rational coefficients in mathematical and real-world situations.

MA.8-10.AI.2.b: Mathematics

Solve and graph absolute value equations and inequalities in one variable.

MA.8-10.AI.2.c: Mathematics

Analyze the relationship between x and y values, determine whether a relation is a function, and identify domain and range.

MA.8-10.AI.2.d: Mathematics

Explain and illustrate how a change in one variable may result in a change in another variable and apply to the relationships between independent and dependent variables.

MA.8-10.AI.2.e: Mathematics

Graph and analyze linear functions.

MA.8-10.AI.2.f: Mathematics

Use algebraic and graphical methods to solve systems of linear equations and inequalities in mathematical and real-world situations.

MA.8-10.AI.2.g: Mathematics

Add, subtract, multiply, and divide polynomial expressions.

MA.8-10.AI.2.h: Mathematics

Factor polynomials by using Greatest Common Factor (GCF) and factor quadratics that have only rational roots.

MA.8-10.AI.2.i: Mathematics

Determine the solutions to quadratic equations by using graphing, tables, completing the square, the Quadratic formula, and factoring.

MA.8-10.AI.2.j: Mathematics

Justify why some polynomials are prime over the rational number system.

MA.8-10.AI.2.k: Mathematics

Graph and analyze absolute value and quadratic functions.

MA.8-10.AI.2.l: Mathematics

Write, graph, and analyze inequalities in two variables.
Curriki Rating
On a scale of 0 to 3
3
On a scale of 0 to 3

This resource was reviewed using the Curriki Review rubric and received an overall Curriki Review System rating of 3, as of 2009-07-09.

Component Ratings:

Technical Completeness: 3
Content Accuracy: 3
Appropriate Pedagogy: 3

Reviewer Comments:

Same as Topic 4 - Solving Systems of Linear Equations ……………………………………………..………………………….…….…………….……………………………………….. This resource is part of a 8 week unit for an elementary Algebra class. The unit (Teaching Linear Equations through Running a Small Business ) covers linear equations, linear regression, and uses the simple economics of running a small business to illustrate the ideas. It requires the teacher to integrate the material with various skills, including use of the Internet and other technologies. It is an ambitious and ultimately rewarding undertaking.

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