SLIDE 1 National 5 WB 26th Feb Scientific Notation
Starter 1) Evaluate 125 2) Calculate the volume of a pyramid with base area 23mm and height 4cm. 3) Factorise y = x + 8x + 15
2 3 2 2
Scientific Notation Today we are learning... What scientific notation is and how to write it. I will know if I have been successful if... Convert numbers into scientific notation.. Convert from scientific notation to numbers. Understand where scientific notation is used in real life.
SLIDE 2 National 5 WB 26th Feb Scientific Notation
Scientific Notation 10 = 10 = 10 = 10 = 10 = 10 = 10 =
2 3 4 5 6 7 8
Scientific Notation The weight of a building is 345 000kg Writing this in scientific notation...
SLIDE 3 National 5 WB 26th Feb Scientific Notation
Scientific Notation The weight of the Earth is estimated to be 5920000000000000000000000 kg Writing this in scientific notation... Scientific Notation The speed of light is 1.079 x 10 km/h.
9
Writing this as a number...
SLIDE 4
National 5 WB 26th Feb Scientific Notation
Practice Indices Today we are summarising... All of our work on indices. I will know if I have been successful if... I can write numbers using scientific notation. I can recall the three laws of indices. I can evaluate numerical indices.
SLIDE 5 National 5 WB 26th Feb Scientific Notation
b = 1
New Note
b = b
1
The 3 Laws of Indices
y x y = y
a b a + b
y y = y
a b a - b
(y ) = y
a b ab f x f =
3 9
h h
8
3 =
(k ) =
6 4
SLIDE 6 National 5 WB 26th Feb Scientific Notation
Evaluating Indices 1) 32 2) 27 3 5 2 3 kahoot.it
- Identify Equivalent Expressions Involving Exponents
- Rational Exponents
- Exponents with Integer Bases
- Multiplication with Exponents
SLIDE 7
National 5 WB 26th Feb Scientific Notation Plenary
Algebraic Fractions Today we are learning... How to apply the four basic operations to fractions. I will know if I have been successful if... I can add and subtract fractions by finding a common denominator. I can multiply and divide algebraic fractions. I can simplify fractions.
SLIDE 8 National 5 WB 26th Feb Scientific Notation Multiplying and Dividing 1) 2) 3) 3r
s x q r xy 3 4 x ÷ ÷ 2mn 3q
2
5m 4q
Practice
SLIDE 9
National 5 WB 26th Feb Scientific Notation
Adding and Subtracting Fractions Today we are learning... How to add and subtract algebraic fractions. I will know if I have been successful if... I can add and subtract numerical fractions. I can add and subtract algebraic fractions. I can answer exam style questions. Numerical Fractions 1) 3 4 + 3 4 = 2) 5 6 + 3 12 = 3) 4 5 - 1 9 =
SLIDE 10 National 5 WB 26th Feb Scientific Notation
Adding and Subtracting 1) 2) 3) a b
+ 2
b 3 5b
+
3 5c 2x b
2b Practice
SLIDE 11
National 5 WB 26th Feb Scientific Notation
Exam Question Simplifying Fractions Today we are learning... How to simplify fractions by finding common factors. I will know if I have been successful if... I can identify a common factor in the numerator and denominator. I can simplify numerical fractions. I can simplify algebraic fraction.
SLIDE 12
National 5 WB 26th Feb Scientific Notation
Simplifying Fractions 1) 18 24 2) m m 3) 4x 16x
2 5 5 3
4) 8ab 12a b
3 3 2
Page 18 Question 1 Factorising by finding a Common Factor 3a + 3b 6 1) 2) 5b + 10b 15b
2
Page 18 - Question 2 Simplify...
SLIDE 13
National 5 WB 26th Feb Scientific Notation
Simplify by factorising... Hint: The denominator will have two brackets.