Foundations 11 Lesson Plan - Eric, Yeni, Yijia

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

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