algebraic fractions...
TRANSCRIPT
Algebraic Fractions NOTES.notebook May 04, 2018
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)
StarterFactorise fully:
1) 2x2 + 14x 2) x2 - 8x + 15
3) 2x2 - 8 4) 3x2 + 2x - 5
Algebraic Fractions NOTES.notebook May 04, 2018Starter
1) Multiply out the brackets: (n - 1)(n - 2)(n - 3)
2) Without a calculator, evaluate 2.3 x 105 x 5 x 103,
leaving your answer in scientific notation.
3) What's halfway between a third and a fifth?
4) Write down 4 expressions that simplify to y4
Today's Learning:
To simplify fractions involving algebra.
Challenge:
Simplify these fractions as much as possible:
a) b) c)
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)
Page 18, Q1
Practice:
e.g. 4) 5)
6)
Algebraic Fractions NOTES.notebook May 04, 2018
Simplify the fractions by taking common factors:
1) 2) 3) 4)
Starter Simplify the fractions:
a) b)g2 - 4
g2 + 6g + 86a2 - 7a - 3
3a2 - 2a - 1
Starter
1) 2)
3) 4)
Factorise the numerators and denominators and simplify
where possible: 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)
Algebraic Fractions NOTES.notebook May 04, 2018
StarterSimplify the following fractions:
2m4mn - 8m2
2b2 - 8b2 - 2b - 8
1) 2)
3n - 36n - 12
3)
Subtracting Algebraic Fractions
e.g. 1) 2)
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
Today's Learning:
To multiply and divide algebraic fractions.
Challenge:
Calculate:
Algebraic Fractions NOTES.notebook May 04, 2018
x ÷ Algebraic Fractions
e.g. 1) 2) 3)
Starter
1) Simplify: a) b)2g
34g
+3
2m-
1m + 1
2) Factorise fully: 2m2 - 7m - 4
3) Simplify: √48
4) Simplify: a) b4 x b b) (e2)3 x e c) 3g7p4 ÷ g4p4