User:Thegn/sandbox/Lesson Plan for 11An AAH 5-Mar-10

Date: 5th March 2010

Lesson Start-time: 14:20

Lesson Title: Algebraic Fractions: x / + - 

Lesson Objectives:
 * Recall that cancelling always simplifies algebraic fractions.
 * Be confident multiplying and dividing algebraic fractions.
 * Be confident adding and subtracting algebraic fractions, using a common denominator.

Homework:
 * HBA Student Support Book Ex 21 Q4, 5, 6 and 7.

Starter:
 * Recap on cancelling algebraic fractions. Perhaps show four algebraic fractions on a PowerPoint slide of increasing difficulty: quadratic divided by a quadratic, with a common factor.

Starter Assessment:
 * "How many got all four correct?"

Main Episode 1:
 * Multiplication -- numeric example, e.g. 8/9 x 3/14. As well as cancelling within the original fractions, you can also cancel across the fractions, e.g. cancel a factor from the numerator (check their vocab) of one fraction and a factor from the denominator (check) of another.
 * Algebra: (2x+2)/(5x-15) x  (3x-9)/(4x+4)
 * (x2-9)/7  x  5/(x-3)
 * Division -- numeric example: 3/7 / 9/14. You turn the big division into a multiplication by flipping over the second fraction.
 * p/7 / 3p/4
 * (7x-7)/3x / (4-4x)/x

ME1 Assessment:
 * Oxford Higher Plus Ex A2.3 p.55 Q4.

Main Episode 2:
 * Addition and Subtraction -- numeric example, e.g. 4/11 + 2/5. Multiply the denominators to find a common denominator.
 * Algebra: 4/(x-3) + 2/(x+2)
 * 4/p - 3/q
 * (x+4)/6 - (2x-1)/5

ME2 Assessment:
 * Oxford Higher Plus Ex A2.4 p.57 Q3.

Main Episode 3:
 * Give them back their Tarsia envelopes.
 * If they don't have them, give them a new batch.

ME3 Assessment:
 * They should now be confident they can perform all the operations specified on the Tarsia triangles.

Extension Work:
 * Equations in HBA Ex 21.4 p.206-7.

Plenary:
 * Perhaps, like the Starter, have a PowerPoint slide of four algebraic operations: times, divide, add and subtract.

P Assessment: