CMS WEEKLY LESSON STRUCTURES

TEACHER: ____Winders______SUBJECT: _Math 78______GRADE: ___7th DATE: Aug 23-27, 2010____

Math 78

Unit 1 – Probability & Set Theory
GPS Standard(s)/Element(s)
·  M8D1. Students will apply basic concepts of set theory.
·  M8D2. Students will determine the number of outcomes related to a given event.
·  M8D3. Students will use the basic laws of probability.
Enduring Understandings: Students will understand that…
·  Tree diagrams are useful for describing relatively small sample spaces and computing probabilities, as well as for visualizing why the number of outcomes can be extremely large.
·  Sometimes the outcome of one event does not affect the outcome of another event. (This is when the outcomes are called independent.)
·  When two compound independent events occur, we use multiplication to determine their probability. That is, to find the probability that event A happens and event B happens, we should multiply the probability that A happens times the probability that B happens.
·  When we want to find the probability that event A happens or event B happens, we should add the probability that A happens to the probability that B happens.
·  Probabilities are similar to percents. They are all between 0 and 1, where a probability of 0 means an outcome has 0% chance of happening and a probability of 1 means that the outcome will happen 100% of the time.
·  If we add the probabilities of every outcome in a sample space, the sum should always equal 1.
·  If the probability that an event will happen is “P,” then the probability that it won’t happen is “1 – P.”
·  Venn diagrams are visual tools for organizing members of related sets.

·  UNIT ESSENTIAL QUESTION:

·  How do we use probability to make plans and predictions of future events?

·  How can we use set notation to compare and contrast elements within a given set?

MONDAY 8/23 / TUESDAY 8/24 / WEDNESDAY 8/25 / THURSDAY 8/26 / FRIDAY 8/27
LESSON EQ:
How is the fundamental counting principle used in real Life? / LESSON EQ:
What are independent events? / LESSON EQ:
What are independent events? / LESSON EQ:
What is simple probability? / LESSON EQ:
How well do we understand probability
ASSESSMENT:
.Performance Task
Tree diagrams / ASSESSMENT:
Informal questioning
Performance Task / ASSESSMENT:
Performance Task / ASSESSMENT:
Performance task responses
Foldable / ASSESSMENT:
Lesson Quiz
WARM-UP & OPENING:
Review two-step equations / WARM-UP & OPENING:
Warm-up problems
Review Experimental Probability / WARM-UP & OPENING:
Review math 6 concepts
Review Vocabulary:
·  Tree diagram
·  Counting Principle
·  Event / WARM-UP & OPENING:
Review of Vocabulary—
students give examples of “event” / WARM-UP & OPENING:
Mini-Quiz of weekly warm-up problems
INSTRUCTIONAL STRATEGIES: Collaborative groups; guided practice; / Direct Instruction
Guided Practice
Performance Task / Direct Instruction
Collaborative Learning Groups / Direct Instruction
Cooperative Groups / Direct Instruction
Cooperative Learning
WORK SESSION:
Continue/Complete Performance Task—Mrs. Love’s children
Practice making tree diagrams / WORK SESSION:
independent Events exploration
*Finding the probability of two independent events. / WORK SESSION:
Hands-on standards—Independent events / WORK SESSION:
Students create a probability foldable
Simple Probability handoutT:\Math78\Aug 23 Simple Prob. task.doc / WORK SESSION:
Lesson Quiz: Experimental Probability, Theoretical probability,
tree diagrams
CLOSING:
HW: Green worktext, p. 301, all prob. / CLOSING:
Summarize steps in finding probability of compound independent events.
HW: p. 287, all prob. / CLOSING: Compare/contrast
Addition Counting Principle vs. Multiplication counting principal
NO HOMEWORk / CLOSING:
Exit Card
HW: Study for Tomorrow’s Quiz / CLOSING:
Have a good weekend
NOTES & OBSERVATIONS: / NOTES & OBSERVATIONS: / NOTES & OBSERVATIONS: / NOTES & OBSERVATIONS: / NOTES & OBSERVATIONS: