Algebra I Unit 4

Big Idea:

Understand linear equations can be written and represented in a variety of forms, and be able to write linear equations to represent the data in multiple forms.

Student Expectations:

Priority TEKS

A.2(B) [Supporting] write linear equations in two variables in various forms, including y = mx + b, Ax + By = C, and y – y1 = m(x – x1), given one point and the slope and given two points

Focus TEKS

A.2(E) [Supporting] write the equation of a line that contains a given point and is parallel to a given line

A.2(F) [Supporting] write the equation of a line that contains a given point and is perpendicular to a given line

A.2(G) [Supporting] write an equation of a line that is parallel or perpendicular to the x- or y-axis and determine whether the slope of the line is zero or undefined

A.3(A) [Supporting] determine the slope of a line given a table of values, a graph, two points on the line, and an equation written in various forms, including y = mx + b, Ax + By = C, and y – y₁ = m(x – x₁)

A.4(B) [Supporting] compare and contrast association and causation in real-world problems

A.4(C) [Supporting] write, with and without technology, linear functions that provide a reasonable fit to data to estimate solutions and make predictions for real-world problems

Ongoing TEKS

A.2(C) [Readiness] write linear equations in two variables given a table of values, a graph, and a verbal description

A.3(A) [Supporting] determine the slope of a line given a table of values, a graph, two points on the line, and an equation written in various forms, including y = mx + b, Ax + By = C, and y – y1 = m(x – x1)

Student Learning Targets:

• I will write the equation of a line in slope-intercept form, point-slope form, and standard form.
• I will use the three forms of linear equations to solve problems.
• I will describe the relationship among slope of parallel and perpendicular lines
• I will write an equation of a line that contains a given point and is parallel or perpendicular to a given line
• I will determine the equation of a line of best fit and make predictions about the data, with and without technology.
• I will use technology to perform linear regression

Essential Questions:

• How are the different forms of linear equations related?
• Why are the different forms of linear equations necessary?
• How are parallel, intersecting, and perpendicular lines related?

Extra Information:

Adopted Textbook: McGraw-Hill Algebra I

District Grading Policy

Texas Gateway Online Resource Center