Complete the following questions before class on Monday, September 22nd.
Exercise 5H questions 1–5, 7
11 Math Standard: Exponent Laws
Complete the following activities before class on Tuesday, September 23rd. (You should also have completed the Inspired AI nugget on Surds.)
Multiplication Law of Indices
Division Law of Indices
Power Law of Indices
Law of Indices Mixed Practice
Further Laws of Indices
9B: HCF and LCM with Prime Factorization
Complete the two MathsPad activities* assigned to you for Friday, September 19th.
*Highest Common Factors 2 and Lowest Common Multiples 2
12 HL: Intro to Complex Numbers
You may want to get a start on the next set of homework questions (which will be due Wednesday, September 17th).
Exercise 4A questions 2, 3, 4adb
Exercise 4B questions 1, 3
Exercise 4C questions 1, 7, 8
Exercise 4D questions 1, 3, 5, 6
Exercise 4E questions 1–6, 8*
*This last question is quite challenging.
Also, see if you can complete the proof that, for \(z_1, z_2 \in \mathbb{C}\), \((z_1 + z_2)^* =z_1^*+z_2^* \).
11 Math Standard: Surds
On Inspired AI, complete the activities listed below for Friday, September 12th. Activities shown in bold are more challenging, but give those a try too!
Squares [MF12.01]
Roots of Squares and Cubes [MF12.05]
Roots [MF12.06]
Fractional Indices 1: Square and Cube Root [MH13.08]
Surds: Introduction [MH52.01]
Surds: Multiplication and Division [MH52.02]
Surds: Simplifying 1 [MH52.03]
Surds: Simplifying 2 (Products of Surds) [MH52.04]
Surds: Simplifying 4 (Sum and Difference) [MH52.06]
Surds: Simplifying 3 (Dividing Surds) [MH52.05]
12 HL: The Factor and Remainder Theorems
Complete the following questions (all from the green textbook) by Friday, September 12th.
Exercise 5D questions 1 and 4
Exercise 5E.1 questions 2aef, 4
Exercise 5E.2 question 2
Exercise 5F questions 2, 4, and 5, 8, 10, 11
Exercise 5G questions 1, 3–5, 8
13 SL: The Chain Rule
Complete the following questions from the green textbook for Friday, September 12th.
Exercise 17B.1 questions 1ace, 2acd
Exercise 17B.2 questions 1ad, 2adg, 4ace, 5
12 HL: Polynomial Division
Homework: Find the quotient and remainder when \(2x^3 +4x^2-3x+1\) is divided by \(2x-1\).
9B: Prime Factorization
Complete the five MathsPad activities* assigned to you for Friday, September 12th.
*Factors; Multiples; Prime Numbers; Factors, Multiples, and Primes; Prime Factorisation
11 HL: Roots of Complex Numbers
Try to complete the first couple of questions in the attached PDF file. (We’ll continue with these on Monday.)