Micro-teaching (With Yijia and Yeni)

EDCP 342

Micro-Teaching Lesson Plan

Teachers: Yijia, Yeni, Eric

Subject: Foundations of Math 11	Grade: 11	Date: November 1	Duration: 15min
Lesson Topic	Arithmetic Sequence

Content	Operations with fractions (addition, subtraction, multiplication, division, and order of operations) Analyze and prove conjectures, using inductive and deductive reasoning, to solve problems
Learning Outcomes	Recognize arithmetic sequences Apply the relevant formula to calculate the value of the initial term, the common difference, and the general term of an arithmetic sequence

Materials and Equipment Needed for this Lesson

Whiteboard, markers Paper, pens/pencils Worksheets

	Lesson Stages	Learning Activities	Time Allotted
1.	Warm-up	Check students’ prior knowledge of patterns: If they can recognize the pattern of a given sequence If they can use that pattern to continue the sequence If they can generate a formula from the pattern Examples: Dates of all Fridays in a month Numbers on a car dashboard Any other patterns in everyday life?	3 mins
2.	Presentation	What is an arithmetic sequence (a, d, and n)? What is a finite arithmetic sequence?(2, 5, 8, 11) (Use examples from warm-up) What is an infinite arithmetic sequence?(3, 6, 9, 12, 15...) It is harder to locate a specific term in an infinite sequence by counting them. What should we do? ---- Find a general formula! Given t1=a, t2, and t3: Generate a formula for t2 and t3 in terms of a(t1) and d Predict what t4 and t5 will be Predict what t10 will be Find a formula for tn (let students guess first) Tn = t1 + (n - 1)d                     = tn-1 + d Note that it is a linear function(link to previous lessons if possible) Special Cases: If the given terms are not adjacent, how do we find a and d? Example: Given T2, T5, T7	5-7 mins
3.	Practice and Production	Arithmetic sequence activity: Students pair up On a sheet of paper, list the first, second, and fourth terms of their own arithmetic sequence Exchange papers Find the third and fifth terms of the given arithmetic sequence Find a, d, and the formula for tn If time permits, do another round	5-7 mins