Learning Map

Here is my assignment 2A, where we were required to create a Learning Map for the week in which we are working out how our one day of teaching is situated within the grading period and within the unit. 
The learning product for this module is the Birthday Polynomial Project (adapted from another blogger) is in the next post. 
Worksheet Steps 
1-10*
Step Activity
Grading Period Content Planning
  • Find 9 concepts: 
  • Structures of Expressions
  • Quadratic Equations
  • Functions and Their Features
  • Geometric Figures
  • Similarity and Right Triangle Trigonometry
  • Circles
  • Conics
  • Logarithmic Functions
  • Polynomial Functions
Unit/Week Organization
  • Select one week’s concept (big idea) to use as content:
  • Polynomial Functions
  • Divide content into 5 Minor Content Areas (5 smaller ideas) one for each teaching day: 
  • Operations on Functions
  • Binomial Expansion
  • End Behavior
  • Determining Roots of Polynomials
  • Features of Polynomials
Scope & Sequence
  • Order 5 Minor CAs into days of the week (Consider motivation and relevance of concept):
  • Monday: Operations on Functions
  • Tuesday: Binomial Expansion
  • Wednesday: End Behavior
  • Thursday: Determining Roots of Polynomials
  • Friday: Features of Polynomials
Content Area Standards
  • Find content area Common Core (NGSS) standards by G7-12 that teach to the MCAs or standards appropriate to your Content Area:
  • A.APR.5- Understand that polynomials for a system analogous to the integers, namely, they are closed under the operations of addition, subtraction, and multiplication; add, subtract, and multiply polynomials
  • A.APR.6 - Know and apply the Binomial Theorem for the expansion of (x+y)^n in powers of z and y for a positive integer n, where x and y are any numbers, with coefficients determined for example by Pascal’s Triangle
  • F.IF.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…
  • A.APR.3- Identify zeros polynomials when suitable factorizations are available, and use the zeros to construct a rough graph of the function defined by the polynomial. 
  • F.IF.7- Graph functions expressed symbolically and show key features of the graph, by hand in simple cases…
C. Graph polynomial functions, identifying zeros when suitable factorizations are available, and showing end behavior.
Learner Outcome/Objective
  • Align, review and revise Content Area Standards to develop one or more learner outcomes/objectives
  • Monday: Students will be prepared to multiply functions to get another function, as a polynomial written in standard form.
  • Tuesday: Students will be able to write functions in standard form without needing to foil several times. They will also understand multiplicity, which will help them graph functions more accurately.
  • Wednesday: Students will be able to graph the end behavior of a function as well as determine how the function grows or decays over time, which is a foundation for learning limits. 
  • Thursday: Students will be able to show that they can apply the Fundamental Theorem of Algebra as well as divide polynomials to help graph polynomials by hand.
  • Friday: Students will begin to understand the connection between features of a polynomial, including how they affect the graph and zeros. 
Pre-Assessment/Warm Up/Prior Learning Connection
     (Formative Assessment)
  • Determine assessment strategy that will form student levels of performance for post-assessment rubric categories
  • Each lesson will begin with a warm-up activity consisting of the topic from the previous day which will be extended into the day’s lesson. The warm up will serve as a pre-assessment, activation of prior knowledge, and launch into the lesson. 
Teaching Strategy/Learning Activity
  • Name Teaching Strategy & describe  learning activity for each Day designed to meet the learner outcome/objective 
  • Each day, students will use collaborative learning and class discussion to meet the learner outcome/objective.
Ongoing Assessment/Check for Understanding
  • Select assessment tools (could be learning products) to guide progress of learning activities
  • To check for understanding, I will use a variety of tools including random selection by drawing sticks, Think-Pair-Share, group discussion, class discussion, Exit Tickets, etc.
Post-Assessment/Closure
  • Plan one learning product (evidence of learning) and design a simple rubric for rating student achievement taken from pre-assessment and standard
  • The learning product for this module is called the Birthday Polynomial Project (attached) one point will be awarded for each of the bulleted items.
Review/Grade/Reflect
  • Assign grade to rubric

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