Developed By: Gloria Quigley
Name of Collaborative: Math 2
Curriculum Area: Mathematics
Unit Title: The Great Quadratic
Time Frame: 18 days
Note: Each teacher keeps his/her own copy reflecting teacher’s unit plan
Content Standards ( # and brief description): Copy and paste from Picasso
Students will represent and operate
with complex numbers.
Write square roots of negative
numbers in imaginary form.
Write complex numbers in the
form a + bi.
Add, subtract, multiply, and
divide complex numbers.
Simplify expressions involving
Convert between standard
and vertex form.
Graph quadratic functions as
transformations of the function
f(x) = x2.
Investigate and explain characteristics
of quadratic functions, including domain,
range, vertex, axis of symmetry, zeros,
intercepts, extrema, intervals of increase
and decrease, and rates of change.
Students will solve quadratic equations
and inequalities in one variable.
Solve equations graphically using
Find real and complex solutions of
equations by factoring, taking square
roots, and applying the quadratic formula.
Analyze the nature of roots using
technology and using the discriminant.
Solve quadratic inequalities both graphically
and algebraically, and describe the solutions
using linear inequalities.
Students will solve problems (using
Build new mathematical knowledge
through problem solving.
Solve problems that arise in mathematics
and in other contexts.
Apply and adapt a variety of
appropriate strategies to solve
Students will make connections
among mathematical ideas and to
Recognize and use connections
among mathematical ideas.
Understand how mathematical
ideas interconnect and build on
one another to produce a coherent whole.
Recognize and apply mathematics in
contexts outside of mathematics.
Essential Questions: What provocative questions will foster inquiry, understanding, and transfer of learning?
What are my roots?
Why do I need to know how to factor?
What happens if I move the parabola?
What if it is not Real?
What is the connection to other mathematics?
Content (Unpack Nouns from Standards): Students will know…
Skills (Unpack Verbs from Standards):
Students will be able to…
Standard form of a quadratic equation
Vertex form of a quadratic equation
Intercept form of a quadratic equation
Students will represent and operate with complex numbers.
Students will analyze and graph quadratic functions in the forms f(x) = ax2 + bx + c , f(x) = a(x - h)2 + k, and
f(x) = (x – a )(x – b)
Students will solve quadratic equations and inequalities in one variable.
Students will solve quadratic equations by factoring, by the square root method, by completing the square, and by using the quadratic formula.
Students will communicate mathematically.
Students will make connections among mathematical ideas and other disciplines.
Essential Vocabulary: What critical vocabulary must be learned in order to master the content?
· quadratic function
· standard form
· vertex form
· intercept form
· quadratic formula
Test .5 and Test 1
(build from Summative)
Quizzes, Journals, Tasks, Worksheets, Problem sets, Board work,
Verbal communication, Notebooks, Workbooks, Collaborative activities
Goal: 75% or more of the assessment should be from the Summative Assessment
Quizzes, Tasks, Note-taking workbooks, Worksheets, Tests,
(weekly or daily)
Days 1-2: Graphing quadratics and noting characteristics via performance tasks
Day 3-4: Factoring many types of quadratic equations
Days 5-6: Solving quadratics
Days 7-8: Reinforce days 1-5 concepts and relate the topics to one another
Day 9: Mid-Unit Test
Days 10: Complex Number System
Day 11: Using complex numbers to solve square roots
Day 12: More complex number concepts
Day 13: Completing the square
Day 14: Quadratic Formula stressing the discriminant
Day 15: Graphing quadratic inequalities in one variable
Days 16-7: Reinforce days 1-15 concepts and relate the topics to one another
Day 18: Test on unit 1
(Highlight all that apply)
Independent activities Pairing /small Groups Learning Stations Cooperative learning Hands on Whole group instruction
Technology integration Project Lecture Peer tutoring Visuals Simulations/Role Play
Discussion Performance Task Game Other:
What learning experiences and instruction will enable students to achieve the desired results? Create a list with a brief description.
Protein Bar Learning Task-examines the process application for factoring quadratic equations
Imagining a New Number Task-examines computations and uses for imaginary numbers
Graphing Quadratic Equations Task- analyzes the properties of graphs of quadratic equations from standard, vertex, and intercept form
Frayer’s model for vocabulary
Model showing what student knows, needs to know, and has learned
Enrichment activities vs.remediation activities.
Group work/teacher directed vs independent study
Textbook, note-taking workbook, worksheets, smartboard, whiteboard, tasks, concept maps,