Tuesday, April 25, 2017

Grade 7: Study Guide

Seventh graders, you know that you have a test (Criterion A--Knowing and understanding) on Wednesday, May 3.  Here is a study guide to help you prepare.

Things you should know how to do:

  • Estimate the likelihood of an event, using the 0-1 scale
  • Find mathematical probabilities for a variety of situations
  • Make predictions based on given probabilities
  • Create a tree diagram to show all possible outcomes
  • Decide if a situation is fair or not
  • Be able to explain your thinking in words and/or a table

Things that can help you review:
Your notebook:
This should be your best source for studying (if you took notes and kept it organized).  It has vocabulary and important ideas.  You have examples of how to organize data in tables for finding mathematical and experimental probabilities.

YouTube videos:
Here is a review of what probability is.  It explains how to find the mathematical probability of a specific event.

Here is the Khan Academy’s explanation of what probability is—especially experimental probability.

This video looks at fairness and experimental data.  It also reminds us that probability is not a guarantee.

What’s the difference between theoretical (or mathematical) probability and experimental probability?  This video tries to explain it.

Here is a pretty easy explanation of how to create a tree diagram.

Mathisfun.com is always a good place to look for definitions and explanations of math ideas.  Here are some topics to look at:
tree-diagrams  There are some practice problems at the bottom of the page.
definitions  There are a number of definitions with examples.  More practice problems at the bottom.

Grade 7 lessons to practice: DD1-DD5
Grade 6 lessons to practice: II 1-5

Pp. 368-383.  Try any of the practice problems we did not do in class.

Monday, April 24, 2017

Grade 7: Fair spinners

Last week, the seventh graders shared what they learned about the spinners that they designed.  Some gave presentations in front of the class, while others prepared posters or wrote an explanation in an essay.  Students (and a couple of guests) had a chance look over their classmates' work and to ask questions. 

Here are some photos of 7T in action (apologies to 7I—I didn’t have my camera handy).   The photo of the bulletin board is of the posters from both classes.


Friday, April 21, 2017

Grade 6: Integers

We have moved from building an understanding of what numbers are and their functions to an examination of the properties of numbers.  We are going to be exploring integers, positive and negative whole numbers (and zero!).  Some parents may be more familiar with calling them signed or directed numbers.  We are starting with thermometers and temperatures, a use that sixth graders are already pretty familiar with.  Elevators and number lines will be our next tools to help develop an understanding of what happens with positive and negative numbers before we get into the computation algorithms for them.  A heavy emphasis is placed on understanding why the “rules” that some students already know work.  We will finish the unit by reviewing numbers with powers before looking at the standard rules for the order of operations.

Monday, April 10, 2017

Grade 7: Investigating spinners

Today the seventh graders began an investigation into fairness with game spinners.  They designed spinners and looked at the expected mathematical probabilities for the different spaces on the spinner.  The next step is to test the spinners and see if they really are fair.  Students will compare the experimental probabilities with their expected mathematical probabilities.  

All of that work should be done for Thursday so that students can use the class period to prepare for presenting to the class what they found in their investigations.  I have given the seventh graders the option to choose how they present--video, poster, essay, etc.  This will allow them to share their learning in a way that they are most comfortable with.

I am looking forward to some interesting examples of a deeper understanding of probability.

Monday, March 27, 2017

Grade 7: Experimental Probability

In the days before spring break, the seventh graders were kept busy flipping coins and recording their results.  An analysis of this data this week is revealing some big ideas about probability.