Her comnclusion is worth presenting in its entirety. Kessler ap calculusib mathematics sl period 5 14 october 2012 investigation on lacsaps triangle. This document contains new tasks for the portfolio in mathematics sl. Introductionlacsaps fractions are a series of numbers that arrange to form a triangle above, similar to that of pascals triangle. An algebraic fraction is a fraction in which the numerator and denominator are both polynomial expressions. It has the same quantity of symmetrical triangle as pascal triangle. Jamil lacsaps fractions1 jamil abdulhamid ib diploma. The great majority of samples contained tasks taken from the ibdesigned set. Dec 12, 2011 lacsap s fractions writing math papers.
If we were to isolate and only look at the numerator. Ib math hl type 1 portfolio maths ia patterns within systems of linear equations pattern within system of. Lascaps triangle, a complete analysis internet archive. Ib mathematics sl internal assessment type i lacsaps. March 30th, 2011 ib sl1 math internal assessment lacsaps fractions this assignment required students to find patterns within a triangle of elements whichhad noticeable similarities to pascal. Ib maths sl portfolio lacsap fraction essay 2368 words. Denominators of the first five rows of lacsaps fractions. Triangle numbers enumerate the items that can be arranged in a triangle.
Ryohei kimura ib math sl 1 internal assessment type 1 lacsap fraction lacsap is backward word of pascal. Math lacsaps fractions ia international baccalaureate maths. Lacsaps fraction is a symmetrical triangle that has the following pattern in the first five rows the shape is similar to pascal triangle. This document focuses on the mathematical content area of fractions. The general triangle s rule is starting with11 at the top, the numerator top number is increased by one each step to downward right, and the denominator bottom number is increases by one each step to the downward left. Gold medal heights examples of good type ii assessments sl ia guidance sl assessment criteria. Math lacsaps fractions ia international baccalaureate. One min drill 10 random practice one number practice a number more choices arithmetic practice. The complexity of something as simple as a set of numbers presented symmetrically in a triangular pattern is amazing. Ppt lacsaps fractions ib math sl portfolio lacsaps fractions ia. Social selling erfolgsfaktoren einfuhrung b2b vertrieb. What led the farc to shift their ideals from fighting for the rights of the poor to running a large drug trafficking empire. Marierose huellasbruskiewicz, a family member, for her math term ib project. The quadratic equations shown in figure 1 show that for each of the first seven rows.
These tasks have been produced by the ib, for teachers to use in the examination sessions in 2012 and 20. Describe how to find the numerator of the sixth row. Thus, this is useful in founding the patterns in lacsaps fractions. Ib math sl ia lacsaps fractions maths sl ia lacsaps. Fish production ib math portfolio maths ia sl course work. Diagram 1 this diagram is of pascals triangle and shows the relationship of the row number, n. By observing the numerators of these fractions, it is illustrated that the first row of numerator is 1, second row of numerator is 3, third row of numerator is 6, fourth row of. Ib math sl portfolio maths ia like lacsaps lacsap fractions portfolio solution is available but. In this project, the relationship between the row number, n, the numerator, and the denominator of the pattern shown below. Lacsaps triangle portfolio lacsaps triangle ib math sl. Also contact for ib math hl type 2 portfolio maths ia modelling functional building, running with angie buddy, the dice game, filling up the petrol tank, ib math hl type 1 portfolio maths ia patterns within systems of linear equations pattern within system of linear equation, how many pieces, shadow functions function, patterns from complex.
Thus, the pascals triangle can be applied in this fraction. Ib math sl type 1 portfolio maths ia task like infinite summation, stellar numbers stellar number stellar star stellar stars, lacsaps fractions lacsap fractions, circles ib math sl type 2 portfolio maths ia task like population trends in china, g force tolerance, fish production, gold medal heights etc. Ib maths sl type i lacsaps fractions portfolio lacsaps fraction introduction. And lacsap is the inverse alphabet order of pascal. Ib math portfolio task i determining the general statement for enr defined by lacsaps fractions submitted by. How to find numeratorin this project, the relationship between the row number, n, the numerator, and thedenominator of the pattern shown below. View lab report jamil lacsaps fractions 1 from math sl at ib college. Lacsaps fraction ryohei kimura ib math sl 1 internal assessment type 1 2. For example, the first number is 1, the second is 3, the third is 6, the fourth is 10 and the fifth is 15. Ib dice game lacsaps fraction circles shadow function fish. Jamil abdulhamid ib diploma program mathematics standard level portfolio type 1 lacsaps fractions jamil abdulhamid 11th. Ib history ia sample paper suggested sites history, facts.
This diagram is of pascals triangle and shows the relationship of the row number, n, and the diagonal columns, r. The general triangles rule is starting with11 at the top, the numerator top number is increased by one each step to downward right, and the denominator bottom number is increases by one each step to the downward left. Looking at pascals triangle, we can then assume the numerator for the sixth row to be 21. You no longer have the advantage of using your triangle to get you everywhere. The following figure 11 illustrates lacsaps fraction.
The dice game ib math portfolio maths ia hl course. By far the most common tasks were lacsaps fractions and gold medal heights. Ib math sl type 1 portfolio like lacsaps fractions lacsap fractions, circle circles, infinite summation, stellar numbers stellar number stellar star stellar stars, ib math sl type 2 portfolio maths ia task like fish production productions, gold medal heights, population trends in china, g force tolerance etc. Lacsaps fraction ryohei kimura ib math sl 1 internal assessment type 1. These set of numbers are known as triangle numbers. Lorenzo ravani lacsaps fractions lacsap is backward for pascal. Download as docx, pdf, txt or read online from scribd. Lacsap s fractions are based upon pascal s triangle.
There were schools which sent old tasks and a 10point penalty was applied to these portfolios. Ib math hl type 2 portfolio maths ia modelling functional building, running with angie buddy, the dice game, filling up the petrol tank. Lacsaps fractions ib math sl internal assessment paper 1 lacsaps fractions lacsap is pascal spelled backward. By observing the numerators of these fractions, it is illustrated that the first row of numerator is 1, second row of numerator is 3, third row of numerator is 6, fourth row of numerator is 10 and fifth row of numerator is 15. This is evident in lacsaps fractions as well, and can be used to help understand some of the following questions. One of the first patterns that we can discover about our series of fractions is the patterns within the numerator of lacsaps triangle. Thus, the pascals triangle can be applied inthis fraction. The best practice for the test is the handout of ib problems that i gave you and. November 26, 2012 bayview secondary school richmond hill, ontario, canada internal assessment math portfolio lacsaps fractions row 1 row 2 row 3 row 4 row 5 the purpose of this assignment is.
Download as pptx, pdf, txt or read online from scribd. Ib math sl portfolio maths ia like lacsaps lacsap fractions portfolio solution is. Lacsaps triangle ib math sl internal assessment 1 24012012 1 introduction lacsaps fractions are a series of numbers that arrange to form a triangle above, similar to that of pascals triangle. A few tasks were teacherdesigned with mixed success. Math ibialacsapsfraction 111128184536 phpapp01 fraction. How to find numerator in this project, the relationship between the row number, n, the numerator, and the denominator of the pattern shown below. Diagram 1 this diagram is of pascals triangle and shows the relationship of the row number, n, and the diagonal columns, r. Ib math sl type 1 portfolio maths ia task like infinite summation, stellar numbers stellar number stellar star stellar stars, lacsaps fractions. So i decided to ask you guys how you would explain it.
If we use pascals triangle we can identify patterns in lacsaps fractions. Therefore, pascals triangle can be used practically especially with this diagram. Lacsaps fractions circles type ii tasks fish production gold medal heights introduction what is the purpose of this document. This paper describes childrens understanding of equivalence, ordering of fractions, and naming of fractions in partwhole and quotient situations. Kessler ap calculusib mathematics sl period 5 14 october 2012 investigation on lacsaps triangle ahaha. Paying attention to fractions ministry of education. Ib mathematics sl internal assessment type i lacsaps fractions candidate name. Firstly, i am going to research the numerator patterns. These vector jacobi fractions are related to vector and scalarvalued polynomial functions of the vectors, which satisfy recurrence relations similar to. Ib sl 2 formula sheet may 2011 tz1 subject report may 2011 tz2 subject report sl2 ia. Ib dice game lacsaps fraction circles shadow function fish productio. Lacsaps fractions ib math sl portfolio lacsaps fractions ia powerpoint ppt presentation. Ib dice game lacsap s fraction circle s shadow function fish productio.
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