# QlW9 Algebra

Teacher Carol Barnes Algebra 7th/8th Q1W9 Oct. 11-15 Unit 4: Linear Equations,, Functions and Inequalities
Standard(s) Taught

MAFS.912.A-APR.2.3  Identify zeroes of polynomials when suitable factorizations are available and use the zeroes to construct a rough graph of the function defined by the polynomial.

MAFS.912.F-IF.2.4  For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship.

Learning Targets and Learning Criteria
• identify zeros from a graph of a polynomial.

• identify zeros of factored polynomials.

• identify the multiplicity of the zeroes of a factored polynomial.

• explain how the multiplicity of the zeroes provides a clue as to how the graph will behave when it approaches and leaves the x-intercept.

• sketch a rough graph using the zeroes of a polynomial and other easily identifiable features such as the y- intercept and the end behavior.

Classroom Activities

Monday:

Bellringer:  Graph f(x)=x squared, then graph g(x)=(x squared-2) – 3.  Notice the shift in the new parabola that is graphed.

Whole Group:  Review vertical {v(x)= f(x)+2}  and  horizontal {f(x)=f(x-2)squared} shifts in graphs.  For y=af(bx-h)+k:  Show a vertical stretch (|a|>1) or compression (a<0) and a reflection over the x-axis {y=-x squared}, are achieved with y=af(x).  Show how a horizontal stretch (|b|>1) or compression (b<0) and a reflection over the y-axis (when b=-1) are achieved with y=f(bx)

ISN page 18 Foldable with flaps for y=af(bx-h)+k  for notebook.

Small Group: Students do problems 7-14 with a shoulder partner.  Check answers to key then insert as page 18 into ISN.

Independent:  IXL Algebra 1  BB.4  Transformations of quadratic functions to prepare for DIA.

Alternate Plan:

Whole Group:  ISN – Page 20  Take notes

Small Group:  ISN page 20

Tuesday:   DIA 2  Functions

When finished with DIA 2,  IXL Algebra 1  BB.4  Transformations of quadratic functions

Wednesday:

Bell Ringer:  Substitute x = 4 into f(x) =  x squared -5x +2;  Find the maximum & minimum on the graph on the board.

Whole group: Khan Academy Video: Show 3 types of graphs – linear, quadratic, and exponential.  Show from tables how the change from one y to the next shows a pattern of change that indicates which type of function is graphed.

Small group: With a partner, interpret changes from 3 tables on the board and indicate the type of graph each will produce.

Independent:  IXL Algebra CC.2 and CC.4

Thursday:  DIA 2  Functions

Independent:  IXL Algebra 1  BB.4  Transformations of quadratic functions

Friday:

Bellringer:  On paper provided with a parent graph of f(x) = x squared, graph the shift of g(x) = f(x)-3.  A student will draw the graph on the board.

Whole Group:  ISN – Page 20  Take notes

Small Group:  ISN page 20