Algebra I Unit 11

Big Idea:

Write and analyze quadratic functions of real world situations by graphing, solving, and using technology to make predictions about the quadratic functions.

Student Expectations:

Priority TEKS

A.6(A) [Readiness] determine the domain and range of quadratic functions and represent the domain and range using inequalities

A.6(B) [Supporting] write equations of quadratic functions given the vertex and another point on the graph, write the equation in vertex form (f(x) = a(x – h) 2 + k), and rewrite the equation from vertex form to standard form (f(x) = ax2 + bx + c)

Focus TEKS

A.6(C) [Supporting] write quadratic functions when given real solutions and graphs of their related equations

A.7(A) [Readiness] graph quadratic functions on the coordinate plane and use the graph to identify key attributes, if possible, including x-intercept, y-intercept, zeros, maximum value, minimum values, vertex, and the equation of the axis of symmetry

A.7(C) [Readiness] determine the effects on the graph of the parent function f(x) = x² when f(x) is replaced by af(x), f(x) + d, f(x – c), f(bx) for specific values of a, b, c, and d

A.8(B) [Supporting] write, using technology, quadratic functions that provide a reasonable fit to data to estimate solutions and make predictions for real-world problems

Ongoing TEKS

A.7(B) [Supporting] describe the relationship between the linear factors of quadratic expressions and the zeros of their associated quadratic functions

A.8(A) [Readiness] solve quadratic equations having real solutions by factoring, taking square roots, completing the square, and applying the quadratic formula

A.10(E) [Readiness] factor, if possible, trinomials with real factors in the form ax² + bx + c, including perfect square trinomials of degree two

Student Learning Targets:

• I will model real world situations with quadratic functions
• I will identify quadratic functions from multiple representations
• I will understand the second common difference when using a table of values
• I will write a quadratic function in standard form
• I will graph a quadratic function and interpret key features of the graph
• I will graph translations of a the quadratic parent function
• I will identify and distinguish between the different transformations
• I will compare functions represented in different ways (standard versus vertex form)

Essential Questions:

• How do quadratic functions more accurately model situations?

Extra Information:

Adopted Textbook: McGraw-Hill Algebra I

District Grading Policy

Texas Gateway Online Resource Center