# Other Resources

In this section we have placed Excel spreadsheets, PowerPoint presentation and some interesting one-off maths lessons that teachers are free to use in their own classroom.

• #### Building Polynomial Functions

These three lessons focus on having students make connections among different classes of polynomial functions by exploring the graphs of the functions. The questions in the activity sheets allow students to make connections between the x-intercepts of the graph of a polynomial and the polynomial's factors. The first activity is designed for students who already have a strong understanding of linear functions, some knowledge of quadratic functions, and what is meant by a polynomial function. The next two worksheets explain the relationship between linear factors of a polynomial function and the graph of the function. Based on the graph of two lines, students are required to sketch the parabola that is the product of the two linear expressions. Also, given the graph of a polynomial, the student has to find the equations of lines that could be components of the polynomial.
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• #### Is It Fair?

In this lesson, students analyze the fairness of certain games by examining the probabilities of the outcomes. The explorations provide opportunities to predict results, play the games, and calculate probabilities. Students should have had prior experiences with simple probability investigations, including flipping coins, drawing items from a set, and making tree diagrams. They should understand that the probability of an event is the ratio of the number of successful outcomes to the number of possible outcomes.
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• #### Geometry Lesson

This PowerPoint covers angle definitions and properties that Year 9, 10 and 11 students need to cover. This includes angles on a straight line, in a triangle, interior and exterior angles of a polygon and parallel lines. The lesson should take approximately an hour from start to finish. All the answers are included in the PowerPoint and there should be time to discuss and explain each concept as you work through the slides. Ideal as a wrap up to an angles or gemetry unit of work.
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Videos: Properties of straight line segments  |  The Geometry of a Circle
• #### Understanding Graphs

This Excel spreadsheet has 16 worksheets and allows teachers to illustrate  straight lines, parabolas, cubics, hyperbolas, circles, logarithmic and exponential graphs. Each particular worksheet allows the user to change the different values of equations and then view what happens to the resultant graph. Students can quickly visualise what happens to the graph when you change an equation. The first few worksheets on gradients, linear patterns and equations could be used at year 9 and 10. The majority of the worksheets are best used as an introduction to NCEA Level 1 and Level 2 graphs. Students will quickly get the idea of how to link equations to each particular graph. Note that when you load the worksheet you will be asked whether you want to enable macros and links. Answer YES as this ensures that all the functions and graphs work.
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Videos: Equations of straight lines
• #### Drawing Graphs (Excel Spreadsheet)

This early Excel spreadsheet draws straight line graphs either when given 2 points or the values for the gradient (m) and y intercept (c). It also draws a table of values for a given start value and increment. This is a great alternative to a graphics calculator.

We have kept this file on the site but we do recommend the other file "Understanding Graphs" as it covers a lot more types of functions.
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• #### Encrypted Messages

This is a PowerPoint designed for a one-off lesson on encryption. It features 3 encrypted messages. The first is a verse from Lewis Carroll's "The Hunting of the Snark", the second is an encrypted message that has 3 parts - the message itself, a hidden number inside the verse both of which then point to a planet in the solar system. The last is a 3 x 3 (9 letter) square where all the letters stand for a number. In each of the cases clues are given for students to decode the messages. Teachers should read the PowerPoint first as all the answers are contained in subsequent slides. Ideally the class can be divided into groups of 2 - 4. If you are unfamiliar with Lewis Carroll then the first few slides explain about the man and the verse. It is a fun lesson for end of term or Friday afternoon and has been used successfully as a 1 hour lesson activity at both Year 9 and Year 10.
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• #### The Turning Square (Bloxorz Clone)

This is a copy of the popular Bloxorz game but with a number of enhancements. The file is in WinRAR format. You need to download and save the file onto your computer. You then unzip it into a folder. Once unzipped you load the application called "Turning Square" to play. The game is great for spacial awareness as you use the cursor keys to rotate a rectangular block around the maze and place it into the hole to get to the next level. There are a number of enhancements to the original Bloxorz game in that you can skip to different levels, the answer can be demonstrated and there are also different levels of play such as ice mode where the block is likely to slide where you don't want it to go. In all there are 33 levels of play.
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• #### The Number Factory

This resource comes with teacher notes and 3 sets of templates to photocopy for your classes.

"I Know Your Number" is fun activity that students cut out and show to their friends and family. The template can be photocopied onto normal paper or card. Students use these to "guess" their friend's number.

"Five Card Addition" contains level 2 addition and is also a lot of fun. By turning their back and only been given the colour of the cards then a student can correctly guess the total. The exercise is also a good introduction to BEMA (order of operations).

"The Mind Reader" has students performing additions for totals up to 63 as they correctly "guess" a friend's number. Therefore they should be practising  some good numeracy strategies in each of the additions such as making 10s and adding in parts.
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• #### The Pasta Factory

In this exercise students get to learn about prime numbers and why they are necessary. The lesson revolves around a Pasta Company that relies on machines to stretch the pasta to different lengths between 1 and 100 for its customers. Some of the machines break down and the staff at the Pasta Company have to come up with a solution of providing different pasta lengths even if a particular machine is not working. The lesson contains teacher notes and a student hand out.