Theory of Intelligence
10TH•Mathematics•Rational Expressions•5.1 Algebraic Fraction

Students' Learning Outcomes

Rational expressions, simplification; EXERCISE 5.1.

Students' Learning Outcomes

After completing this unit, the students will be able to:

  • Describe rational expressions.
  • Factorize and simplify rational expressions.
  • Demonstrate manipulation of algebraic fractions.
  • Perform operations on rational expressions (limited to numerators and denominators that are monomials, binomials or trinomials).
  • Solve different types of equations reducible to quadratic form of the type:
    • Exponential Equation
    • Reciprocal Equation
    • ax2n+bxn+c=0;a≠0,n=2ax^{2n} + bx^n + c = 0; a \neq 0, n = 2
    • (x+a)(x+b)(x+c)(x+d)=k(x + a)(x + b)(x + c)(x + d) = k, where a+b=c+da + b = c + d
  • Apply the concept of rational equations (limited to numerators and denominators that are monomials, binomials or trinomials) to real-world problems (such as the amount of work a person can do in certain amount of time, rates and work).

Discuss theoretical concepts, mathematical formulas, and architectural foundations.

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