Archive for March, 2007
Math In Cooking
Here Is The Latest Math In Our Everyday Life Podcast. This month’s topic is Math In Cooking and explains how much math really goes into making dishes from Cookies to Chicken Cordon Bleu. A brief review is included of our class’ topics of conversions and ratios.
The Metric System
Here are the important units of the Metric System that we discussed in class today:
The Metric System
Length:
1 kilometer (km) = 1000 meters (m)
1 meter = 100 centimeters (cm)
1 centimeter = 10 millimeters (mm)
Weight:
1 kilogram (kg) = 1000 grams (g)
1 gram = 1000 milligrams (mg)
Capacity:
1 liter (L) = 1000 milliliters (mL)
Kilo means thousand (1000)
Hecto means hundred (100)
Deca means ten (10)
Deci means one-tenth (1/10)
Centi means one-hundredth (1/100)
Milli means one-thousandth (1/1000)
Measured in Milliliters Name Centipede comes from Metric System
English System of Measurement
Here are the important units of the English Measurement System that we discussed in class today:
The English System of Measurement
Length:
12 inches (in) = 1 foot (ft)
3 feet = 1 yard (yd)
5280 feet = 1 mile (mi)
Weight:
16 ounces (oz) = 1 pound (lb)
2000 pounds = 1 ton
Capacity:
3 teaspoons (tsp) = 1 tablespoon (tbsp)
16 tbsp = 1 cup (c)
8 ounces = 1 cup
2 cups = 1 pint (pt)
2 pints = 1 quart (qt)
4 quarts = 1 gallon (gal)
Foot Long Sub 50 Yard Line
Listen to Conversions by The Odyssey Sound Lab!
Biography of Famous Mathematicians: Pythagoras and His Theorem
Here Is The Latest Biography of Famous Mathematicians Podcast. This month’s topic is Pythagoras and His Theorem and it gives a brief history of his life as well as important contributions him and his followers made to the field of Mathematics. A brief review is included of our class’ topic of right triangles and The Pythagorean Theorem.
Happy Pi Day!
As you all know (and I am confident will never forget!), today we experimentally calculated an approximation of Π (pi) using cylindrical shapes and yarn. Next we learned about the history of pi including what the number is and how and when it was first discovered. You also learned its significance relative to measuring the circumference of a circle. After answering several thought provoking questions, we discussed the importance of the number pi in future math classes.
Learn more about Π Here
Educators: For a copy of my Pi Day Lesson and Rational
Triangles
As we learned in class, Triangles can be classified in two ways:
By Their Sides
Scalene Triangle – No Congruent Sides
Isosceles Triangle – Two Congruent Sides
Equilateral Triangle – Three Congruent Sides
By Their Angles
Acute Triangle – All Angles Measure Less Than 90°
Right Triangle – One Angle Measures Exactly 90°
Obtuse Triangle – One Angle Measures More Than 90°
Equiangular Triangle – All Angles Measure The Same (60°, same as equilateral triangle)
Remember the sum of the Interior Angles of any triangle is 180° and an Exterior Angle of a triangle is equal in measure to the sum of the two non-adjacent interior angles of the triangle.
In addition to the assigned homework, try visiting the following websites for extra practice with these newly acquired concepts.
Triangles
Interior Angles
Exterior Angles
Try This For Extra Credit!
Dilations
A dilation is a transformation that produces an image that is the same shape as the original, but is a different size.
A dilation used to create an image larger than the original is called an enlargement. A dilation used to create an image smaller than the original is called a reduction.
Examples Includ
The Dilation of Pupils These Different Sized Washers
In mathematics, the dilation of an object is called its image. If the original object was labeled with letters, such as polygon ABCD, the image may be labeled with the same letters followed by a prime symbol, A’B'C’D’.
Please visit this Working with Dilations Page in order to practice solving questions related to dilations.
Translations
A translation “slides” an object a fixed distance in a given direction. The original object and its translation have the same shape and size, and they face in the same direction.
Examples Include:
A Slide Stadium Seats A Butterfly’s Wing Pattern
In mathematics, the translation of an object is called its image. If the original object was labeled with letters, such as polygon ABCDE, the image may be labeled with the same letters followed by a prime symbol, A’B'C’D'E’.
Please visit this Working with Translations Page in order to practice solving questions related to translations.
Reflections
A reflection can be seen in water, in a mirror, in glass, or in a shiny surface. An object and its reflection have the same shape and size, but the figures face in opposite directions. In a mirror, for example, right and left are switched.
Examples Include:
Water Glass Buildings Mirrors
The line (where a mirror may be placed) is called the line of reflection. The distance from a point to the line of reflection is the same as the distance from the point’s image to the line of reflection.
A reflection can be thought of as a “flipping” of an object over the line of reflection.
Please visit this Working with Reflections Page in order to practice solving questions related to reflections.
Rotations
A rotation is a transformation that turns a figure about a fixed point called the center of rotation. An object and its rotation are the same shape and size, but the figures may be turned in different directions.
Examples of Rotation Include:
Rides Leaves of a Plant Planetary Orbits
In mathematics, the rotation of an object is called its image. If the original object was labeled with letters, such as polygon ABCDE, the image may be labeled with the same letters followed by a prime symbol, A’B'C’D'E’. Rotations can occur in either a clockwise or counterclockwise direction.
Please visit this Working with Rotations Page in order to practice solving questions related to rotations.
