14. Algebraic Fractions NOTES.notebook May 23, 2017 Starter Rationalise the denominator: 1) 2) 3) 4) Today's Learning: To revise the addition, subtraction, multiplication and division of numerical fractions. + - x ÷ Fractions e.g. 1) 2) 3) 4) Starter Factorise fully: 1) 2x 2 + 14x 2) x 2 - 8x + 15 3) 2x 2 - 8 4) 3x 2 + 2x - 5 Today's Learning: To simplify fractions involving algebra. Challenge: Simplify these fractions as much as possible: a) b) c)
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14. Algebraic Fractions NOTES.notebook May 23, 2017
StarterRationalise the denominator:
1) 2)
3) 4)
Today's Learning:
To revise the addition, subtraction, multiplication and
division of numerical fractions.
+ - x ÷ Fractions
e.g. 1) 2)
3) 4)
Starter
Factorise fully:
1) 2x2 + 14x 2) x2 - 8x + 15
3) 2x2 - 8 4) 3x2 + 2x - 5
Today's Learning:
To simplify fractions involving algebra.
Challenge:
Simplify these fractions as much as possible:
a) b) c)
14. Algebraic Fractions NOTES.notebook May 23, 2017
Simplifying Fractions
We can cancel by dividing the top and bottom by a common
factor.
Keep going until the top and bottom have no common
factors.
e.g. 1) 2) 3)
e.g. 4) 5)
6)
Simplify the fractions by taking common factors:
1) 2) 3) 4)
Starter
Today's Learning:
To add and subtract fractions with algebra.
Challenge:
Add these fractions:
1) 2) 3)
Adding Algebraic FractionsWhen adding fractions, we always need a common
denominator.
e.g. 1) 2) 3)
14. Algebraic Fractions NOTES.notebook May 23, 2017Starter
1) 2)
3) 4)
Factorise the numerators and denominators and simplify
where possible:
Subtracting Algebraic Fractions
e.g. 1) 2)
3)
StarterSimplify the following fractions:
2m4mn - 8m2
2b2 - 8b2 - 2b - 8
1) 2)
3n - 36n - 12
3)
Practice:
1) 2) 3)
Starter
1) Find the area of the sector:14 cm
55o
2) Calculate
94.0732...
3) Write in completed square form: x2 + 6x - 10
4) Simplify
Starter1) Simplify: a) b)2
g3
4g+
32m
-1
m + 1
2) Factorise fully: 2m2 - 7m - 4
3) Simplify: √48
4) Simplify: a) b4 x b b) (e2)3 x e c) 3g7p4 ÷ g4p4
14. Algebraic Fractions NOTES.notebook May 23, 2017