Complete the following questions before our next class.
Exercise 2A questions 1–4
Exercise 2B questions 1–6
9E Operations with Radicals
We’ve now looked at examples of sums and products involving radicals. Complete the questions below before our next class.
Exercise 4C questions 1–4 all
Exercise 4D questions 1–6 (odd letters only—so do parts a, c, e, etc.)
Also, here are some links to videos that you might find helpful if you get stuck.
Adding and Subtracting Radicals Video
Multiplying Radicals Video
9E Simplifying Radicals
Complete the questions below before our next class.
Exercise 4B questions 1–3
9E Properties of Radicals
Complete the following questions before our next class on Friday.
Exercise 4A questions 1–5
12 HL Explorations
Before our next class, read examples 1, 4, and 14 (available on the HL Resources page).
We’ll be marking these according to the IB grading criteria in our next class.
9 E Mathematics
Complete the following questions before our next class. We’ll also have a brief quiz on Sets during that class, so answering these questions will be a good way to prepare!)
Exercise 2E questions 1–5
Exercise 2F.1 questions 1–8
12 HL Integration by Parts (Part 2)
On Tuesday we’ll be talking about the Exploration, but we can also discuss solutions to the questions below.
From the Cambridge book, Chapter 19, complete Exercise 19F.
Have a look at these, and also start thinking about an application of mathematics, or a particular topic in mathematics, that you might consider for your Exploration. You can also have a look at the resources posted here.
9 E Subsets and Complements
Complete the following question before our next class (on Monday).
Exercise 2D Questions 1–9
11 SL Applications and Optimization of Quadratics
Complete the questions below before our next class on Monday. (These questions will also help you to prepare for the test on Thursday next week.)
Exercise 1F questions 1–5, 7, 9, 12, 15
Exercise 1G questions 2, 3, 7
On Monday we’ll discuss
- the solutions to these questions, as well as
- any difficulties you may have had with the review questions that were suggested here.
12 SL Derivatives
Complete the following questions before our next class.
Exercise 14E questions 1 i and ii, 2, 3ab, 4b, 5ab, and 6.
Note that in some of these questions you’ll see an alternative notation for the derivative, \(\frac{dy}{dx}\). Whether you use this, or \(f'(x)\), usually depends on how the original function is given to you. So, both \(f(x)=x^2\) and \(y=x^2\) describe the same function (with derivative \(2x\), as we saw in class), but if we’re starting with \(f(x)=x^2\), then we’d write \(f'(x)=2x\), while if we’re start with \(y=x^2\), we’d write \(\frac{dy}{dx} = 2x\).