This is the last teaching lesson for this semester, we finish off Chapter 14 for Algebraic Manipulations.
Today we talked about simplifying algebraic fractions, fractions whose numerator and denominator are both polynomials — such expression is also called rational expression. We can eliminate the common factors. We talk about how to solve equations with algebraic fractions — such equation is also called rational equation. One important thing to remember when solving a rational equation is that any solution cannot make any denominator zero.
We talk about identity equations where it is true for all values for the variable involved.
We will have a review next week, followed by a final exam in two weeks (last day of school).
Homework: Page 148, #20 – 22, 26 – 32.
As it turns out, the school has designated next week (6/15) as the exam day, so we will have our exam next week too, with the last class (6/22) going over the final exam.
Since we won’ t have time to review in class, here is what will be covered in the final exam. Students should look at their notes and homework to prepare:
- Congruent triangles and similar triangles;
- Measurement (area and volume) of sectors, cones, pyramids, spheres, areas of similar figures and volumes of similar solids;
- Pythagora’s Theorem
- Basic trigonometry and its applications;
- Motion geometry: reflection, rotation, translation, enlargement, plus their combinations;
- Basic statistics: bar and line graphs, Mode, Mean, and Medians;
- Plynomial addition, subtraction, multiplication and division
- Fractions and fractional equations
