We in the Lab are utilizing the full range of both CMT(Connecticut Mastery) and CAPT (Connecticut Aptitude Performance Test)objectives to reinforce the full range of objectives with what we call (Power Standards). These are the key areas within each teaching unit that are absolutely essential for the student to achieve mastery.Therefor we concentrate heavily on mixing fundamental concepts together in each area of mathematics (Algebra, Geometry, Trigonometry etc.This allows for overlapping of multi-learning tools simultaneously. We begin our year with the Sophomores in (Cycle 1)and give a pre-test for the beginning of the year. This test determines the areas which are weakest in each student and consequently what requires our initial attention. We then proceed
during this period of time and with a lesson which is tied together in a multitude of varied ways. We will begin with fractions,decimals, percentage and cover all of the rudimentary warmups in these areas, then proceed to introduce them to applied problems. Depending on the test results we should proceed to the Pythagorean Theorem and lead into linear equations, which includes graphing and calculating Slope, the Distance Formula, then into the Mid-Point formula and then show from the graphs and math that Ratio's and Percents play a role in right triangulation. We will then work with complex Percentage problems in preparation for CAPT. Keep in mind that within the possible CAPT strands there requires a great deal of differing math units, therefore the sheer amount of work is absolutely essential.
We will be in cycle 2 with the freshmen classes as of 10/11--10/23 and will continue with a review of equations, from single step to multi-step equations. This includes covering the distributive property and fractional equations. This also includes working with algebraic expressions and ascending and descending order.
We have PODS(Problems Of the Day) set up each day with mult-purpose problems designed with the teaching objective in mind.
For all students and parents of the students in our lab classes, please review the POD sheets, the worksheets, and the homework sheets.
This cycle is only 9 days long, and therefore it is extremely important that continuous review of the material is done.This cycle will complete our work on equations, including applicational problems, and then we will continue with Geometric formula review and applications.Last cycle we covered slope, x-y slope intercept and point-slope form formulations, which leads nicely into the next cycle.Beginning with a quick review of wideranging percentage problems we will warm up to how slope = rise/run--decimal conversion---and percentage are aligned.
For the sophomore 6th cycle we are beginning to focus on a concentration of "the study of triangles in angle, algebraic, area and perimeter evaluations.We will connect to calculations involving the perimeter of polygons, & circumference,& area of circles. Volumes of solids and upon completion of these topics in order we will introduce permutation-combination--and factorial problems as a new separate unit. We will be focusing on word problems, objectives, strategies and study habits.----Stay Tuned-- We are now moving into complex expressions, which includes operations in addition-subtraction-multiplication and division-contemporary and synthetic. This area is very important to master, in that it relates the perfect form of mathematical relationships. We are now looking at some Trigonometry for the sophomores in order to prepare them for their academic classes. We will begin with some simple trig functions and form the background by using the unit circle to tie the process together.
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