Relative Position of a Straight Line with Respect to a Circle

My dear students, review the relative position of a straight line with respect to a circle and do the exercises on the handout and book. The following guidelines may help you out: 1)  SECANT has 2 common points with the circle i.e. it intersects the circle at 2 points. Here, the distance from the centre of the circle to the secant is less than the radius. 2) TANGENT if it has one common point with the circle i.e. it intersects (touches) the circle at one point. Therefore, the distance from the centre of the circle to the tangent is equal to the length of the radius. 3) Line EXTERIOR of the circle has no common point with the circle i.e it doesn't intersect the circle at any point becuase it is outside the circle. In this case, the distance from the centre of the circle to the exterior line is greater than the radius.

Multiplying Fractions

Dear Gr 6 students, go over the exercises we did on multiplying Fr. using the following reminders: We multiply Fractions to find a fraction of a whole, or a fraction of a fraction. The rule for multilying Fr is to multiply n x n, and d x d then reduce the answer to lowest terms, or vice versa i.e. reduce first then multiply n x n & d x d. Examples: Find 1/2 of 36. We multiply 1/2 x 36 = 18, or as in 3/4 of 20 whereby we can reduce 20 by 4 then multiply times 3 to get 15. What is 2/3 of 3/5? We can multiply n x n and d x d then reduce, or reduce first then multiply. In both cases, the answer will be 2/5.

Comparing Fractions

Dear Grade 6 Students, you all know by now how to compare fractions. The easiest way may be to compare a fraction to one whole or to 1/2, in addition to other properties as follows:

• All proper fr. are < 1. Therefore, improper or mixed fr. are > 1.
• If the numerator is the same # as the denominator, then the fr. is one whole such as 7/7 = 1 whole.
• If the given denominators are the same, then simply compare the numerators. Example 4/15 < 9/15 because 4 < 9.
• If the given numerators are equal, then the fr. with the lowest denominator is the greatest.
• Also use common denominators by finding the LCM/LCD in order to compare fr. with the same denominators.
• Finally, a new method  called the "Cross-Products" Method will be introduced to you soon. It helps you compare fr, to find equivalent fr that are not obviously seen as equal, and also as another methd for checking.

Study well the notes on your copybook, and enjoy COMPARING them to my notes here!
Ms Yola

The Circle

Dear Grade 6 students, it is important that you know how to construct a circle given its centre and radius (r), or its centre and diameter (D). D = 2 r  i.e.  r = 1/2 D. Study the main parts of the circle and complete the exercises on book pp. 63 until 66 as instructed. Enjoy your work!

Fractions (2) - The Circle

Dear Grade 6 Students,
Our work for this week is: A- Fractions - (1) Changing Improper Fr into Mixed Fr and vice versa. (2) Operations in Fractions - Addition and Subtraction of Like and Unlike Fr.  B- The Circle - Practice drawing 3 different circles i.e. with different radii, then connect to Art by drawing "artistic" circles with many arcs, & different colors. Feel free to make changes to your figures to have them look even more artistic. Use the internet (google), explore more about circles to show how interesting and symbolic they may be not only to Math, but to many aspects in our life. I'm looking forward to learning from your explorations and your artistic circles.

Fractions

Dear Grade 6 Students,

I- The Chocolate Fraction Challenge we conducted yesterday was very active, enjoyable, and extremely delicious :o). Your task now is to transfer your chocolate bar into a drawing on the Math C.B showing the size of your fraction, the fraction eaten or offered, the fraction left, and the equivalent fractions relevant to half of your chocolate bar. 

In addition to the above, consider the following and give examples to justify on C.B:
1)  What is so special about the denominator?
2)  What do you notice about the numerator?
3)  Can you write 2 equivalent fractions that represent half, third, or a quarter of your chocolate bar?

II- Sign and correct your test on "Pr. C.B"

III- Go over your Math Fair Project presentation.