Wednesday, December 22, 2010
Thank you for the opportunity to work with your children this year. They make me smile each day, and are my favorite part of my job.
Have a splendid holiday season, and best wishes for a healthy and joyous 2011.
Monday, December 20, 2010
"Challenge Math"
Before each unit in math students take a pretest. This isn't a test to study for, and it is not included in their "grade." Students are asked to complete as much as they can, and skip those problems that they do not understand. Much of what is on a pretest is new material that they have not yet been taught. I correct the pretests and determine, by pretest score and student need, which students will attend challenge math for that unit. The student groups change for each unit. If students score particularly high on the pretest (usually somewhere around 80% or above), there is a need for some differentiation and additional enrichment. Challenge math is not ELP, nor is it a "priviledge." It is a learning service for those who indicate a need for some more in-depth study. Students who score very high on the pre-assessment, for example above 90% may do some "contract math" where they are working on some different or additional problem solving opportunities within the classroom. Students shouldn't be setting a goal to be in challenge math, it is a program for students who show a need for such services.
Many students score lower on the pretest, but pick up material quickly and learn the content with each lesson. This is a good place to be. If a student is progressing quickly through the unit, but does not attend challenge math, he or she will still be given opportunities to enrich or extend their learning within the regular education classroom.
If you have any questions, please let me know. Thanks! :)
Unit 6 Math Test
Converting improper fractions into mixed numbers - the "shortut": Divide the numerator by denominator. If there is a remainder, convert the remainder into a fraction by by bringing the divisor down.
For example: 9/4
9/4 = 2 remainder 1
Bring the divisor 4 down, and place it under the remainder. The answer would be 2 1/4.
Converting mixed numbers to improper fractions - the "shortcut":
Is there a shortcut to changing a mixed number into an improper fraction? Yes, there is. It works like this: to change a mixed number into an improper fraction, multiply the whole number by the denominator of the fraction and add the numerator to this product to get the numerator of the improper fraction. Use the same denominator.
Here is an example and an explanation of why the shortcut works.
Change 2 3/10 to an improper fraction.
Shortcut: Take 2 x 10. The answer is 20. Add the numerator, 3, to 20. 20 + 3 = 23. We keep the denominator of 10, so the improper fraction is 23/10.
This shortcut works because multiplying 2 x 10 is like breaking the two wholes up into 10 parts each. Then we add the three parts we already have for a total of 23 parts which are each a tenth of the whole. http://mathforum.org/library/drmath/view/58944.html
Thursday, December 16, 2010
Math Unit 5
Wednesday, December 8, 2010
When the bold branches
Bid farewell to rainbow leaves -
Welcome wool sweaters.
~B. Cybrill
Since the last post, I have apparently been in hibernation. I've found my blogging often goes in spurts, I'll update several times in a row, and then somehow it gets buried someplace on my "To Do" list. One of my resolutions for the new year is to be better about communicating more regularly, perhaps setting time aside on regular intervals to update you on what is going on in our classroom.
First of all, I'd like to send a belated thank you for coming in to celebrate learning at conferences. Mr. Young and I were fortunate enough to have 100% attendance. I feel lucky to be working with families who are willing to be active and positive partners in their children's educations.
SCIENCE
In science we have been busy dabbling in chemistry during our mixtures and solutions unit. Our goal is to be able to answer the following essential questions by the end of our unit:
- How is chemistry used in our daily life?
- What is a chemical reaction?
- How do I design scientific investigations to find answers to my questions?
- What defines a substance as a mixture or a solution?
- How can I communicate my scientific thinking in writing?
Students have investigated three concepts so far. The first concept investigated was the differences between mixtures and solutions, and ways to separate mixtures. We define mixtures as two or more things mixed together. Solutions are special types of mixtures where one material (a solute) dissolves into another (a solvent) so that the solute seems to disappear. Solutions are not easy to separate. We separated salt and citric acid solutions using evaporation. When the water evaporated from the salt water solution it left behind salt crystals. Salt crystals have a characteristic shape and look like this:
- Writing equivalent fractions.
- Comparing the value of fractions using >,< and =
- Converting between fractions and mixed numbers.
- Adding fractions with like denominators.
- Measuring segments of a circle graph.
- Constructing circle graphs.
- Converting between fractions and percents.