Year Nine ISF Maths: MYP4 Unit One Plan

MYP 4Mathematics

Length of unit: 3 weeks

Unit 1: Exponents, Indices and Radicals

Unit Question: How big is forever?

Area of Interaction: Human Ingenuity

What work am I going to cover in this unit?

¨ Exponent Notation and Rules for Indices

¨ Negative and Fractional Exponents

¨ Evaluating Exponential Expressions

¨ Simple Exponential Equations (EXT)

¨ Using index laws with fractional indices to simplify and calculate the value of numerical expression

¨ Operations in scientific notation

¨ Operations with radicals (EXT)

Vocabulary:

Power, exponent, base, index, root, significant figures, rounding, scientific notation

What other skills/concepts will I need to use?

¨ Communication skills

¨ Effective use of a calculator

¨ Problem-solving skills

¨ Recognising patterns and making generalisations

How will I know that I have been successful? I will:

¨ show I understand the skills and concepts by doing well on assessments (Criteria A and C)

¨ demonstrate my understanding on the investigations: Chessboard (Criteria B, C, D); Fractional Indices ((Criteria B, C, D); Surds ((Criteria C, D).

¨ complete all the homework and class work that is set (Criterion C)

¨ keep my notebook organised and up-to-date (Engagement)

¨ stay focused during class (Engagement)

Classroom requirements:

¨ Pen, pencil, ruler, A-4 paper, eraser, graphical calculator

Resources:

Mathematics for the International Student MYP4: Chapter 5

Video: Cantor, God and Infinity. BBC Dangerous knowledge 1, from 3:20 ep1 to 3:20 ep2

selene:)x24 August 2011 at 03:04
23.8 Class notes
Rules of Powers
-Product rule: when multiplying powers with the same base, add the exponent.
-Quotient rule: when dividing powers with the same base, subtract the exponent: numerator exponent - denominator exponent
-power rule: when raising a power to a power, multiply the exponents.
-zero exponent rule: anything raised to the power of zero = 1
-rational power rule: when raising a power to a fractional exponent:
1. raise the base to the power of the numerator
2. take the denominator root of the result
-the negative power rule
selene:)x24 August 2011 at 03:05
and also the order of operation: power > product > quotation > negative power rule
jack kei19 September 2011 at 06:54
i found a useful website
http://www.themathpage.com/alg/rational-exponents.htm