Maths+Department

Welcome to the Maths Department Section

=**New Websites 7/4/11 added by Nora**= http://tutorial.math.lamar.edu/download.aspx (Paul's on line Math Notes) http://www.itute.com/ http://www.justmathtutoring.com/

http://www.purplemath.com/modules/index.htm

**Videos**
http://www.mathvids.com/

**11 Maths Tech Resources to try in 2011**
http://www.freetech4teachers.com/2011/01/11-mathematics-resources-to-try-in-2011.html

**Doodling in Maths Classes**
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Here are some websites that may help with any difficulties you may have with some topics:
1 )Find Grampy – estimating fractions: []

2) Finding equivalent fractions: [] 3) Adding fractions: [] 4) Adding fractions with same denominators- mixed numbers: [] 5) Adding fractions with different denominators: [] 6) Adding fractions (mixed numbers) with different denominators: []

[]
 * __Level 2__ **
 * 1)** **Fractions**


 * Fractions** – **Add and Subtract** (upper menu –left: all 3 subtopics)
 * Fractions and Equivalent fractions** (upper menu –left: 6 subtopics)
 * Fractions** – **Multiply and Divide** (upper menu –left: 4 subtopics)

[] Match 1/2, 1/4, 1/10, etc with decimal equivalents. [] Match 1/2, 1/4, 1/10, etc with equivalent percentages. [] Answer questions in a quest for fame and fortune. **__ Level 3 __** []
 * 2) Common Fraction & Decimal Equivalencies **
 * 3) Common Fraction & Percent Equivalencies **
 * 4) Percentages, Fractions, and Decimals **
 * 1) Converting decimals to fractions and vice versa - Quiz 1 **

** 2) Converting decimals to percentages and vice versa - Quiz 2 ** []

** 3) Converting percentages to fractions and vice versa - Quiz 3 ** Answer these 10 questions to test your understanding. [] [] [] **__ Consumer maths __**
 * 4)Fractions, decimals & percentages - Quiz 4 ** General questions on fractions, decimals and percentages
 * 5) Quiz – adding and subtracting fractions:**

[] [] [] [] **__Level 2__** []
 * Introduction **
 * 6) The Lunch Crunch**
 * __Level 1__**
 * 1) Sales Commission**
 * 2) Price Discounts**
 * 3) Price Markup**
 * 4) Simple Interest**

[]
 * 5) Simple Interest and Principle**

**__ Percentages __**
 * __Level 1__**

[] By clicking right amount of little squares on the **10x10 big square** display following values of percentages: 10%, 15%, 37%, 18%, 6%, 1%, 11%, 98%, 55%, 77%, 65%, 99%, 3%, 9%, 31%
 * __PERCENTAGES Exercise:__**

** __CHANCE and DATA__ **

**__ Probability __**

. **__Level 1__**

**1)** **Introduction to Probability** Go t

**2) Fish Tank:** []

[]= **__Level 2__** **1) Tre** []=  []=  **3)** **Probability of Independent Events -** Solve Quiz questions and save result as above []= **__ Statistics __**

1) **Mean and Median** [] 2) **Mean** exercise [] 3) **Median** exercise [] 4) **Range** exercise ( [] 5) **Box plot** []
 * INTRODUCTION **

**__ Level 1 __**

To: []
 * 1)** **Statistics**

[] [] [] **1) Using Graphs to Understand Data** []  **2) What is Typical?** [] 3**)** **Collecting and Analysing Data** [] []=
 * 2) Interpreting Graphs**
 * 3) Drawing and labelling graphs**
 * 4) Using graphs to find relationships**
 * __ Level 2 __**
 * 4) Making predictions -**

** __MEASUREMENT__ ** **__ Area and TSA __**
 * __ Level 1 __**

[]
 * 1)** **Area of polygons – Part 1**

[] []
 * 2)** **Area of polygons – Part 2**
 * 3) Learn the difference between perimeter and area**

**__Level 2__**

[]

**__ Length Perimeter __**


 * __Level 2__**

[]

2) Quiz level a, b, c to find Length, Weight and Capacity []

**__ Pythagoras theorem __**

[]
 * __Level 1__**

1) [] 2) [] 3) [] 4) [] **__Naming in Right Angle Triangle__**

[] **__Level 2__** []
 * 1) Pythagoras rule**


 * __Level 3__**
 * 1) Pythagoras rule and questions**

[] **__ Trigonometry – year 9 __**

[] []
 * __ Level 1 __**
 * 2)** **Trigonometry Ratios & Scientific Calculator**

**__ Volume Capacity – year 9 __**

[]
 * 1)** **Measurement – Volume and Capacity**

**__ Level 2 __** []
 * 1) Volume quiz**

**__ SPACE 9 __** **__ 2D shapes __** This is how you construct a perpendicular from a point to a side. [] Use the display and the slider to see how shapes up made up from their nets. The Sierpinski Triangle is an interesting geometric pattern formed by connecting the midpoints of the sides of a triangle. When you do this, you create 4 other triangles. You then "delete" the middle bottom triangle, leaving three smaller triangles whose sides could then be connected, and so on, and so on. In your imagination, you could repeat this infinitely many times. Try the Java demonstration below. Create shape by clicking the right arrow. Save it as above.
 * 1)** **Construction of Perpendicular line** []
 * 2)** **Nets**
 * FRACTALS**
 * 1) The Sierpinski Triangle** (excellent for fractions and patterns exercise)
 * []**

Create shape by clicking the right arrow. Save it as above.
 * 2) Jurssic Park fractal**
 * []**

Create shape by clicking the right arrow. Save it as above.
 * 3) Koch Snowflakes**
 * []**

Create shape by clicking the right arrow. Save it as above.
 * 4) Anty-Snowflake**
 * []**
 * __ 3D shapes – year 9 __**

[|**JavaView**]: Help with diagrams In every diagram you can click and drag the left mouse button to rotate each spae. Press your right mouse button to select different interaction modes from a popup menu, or use keyboard keys to temporarily switch between different modes (just keep a button pressed to switch mode temporarily). Some essential modes are: || || ** o ** 1) The Cube [] 2) The Tetrahedron [] 3) Rotating 3D shapes to see a particular side view: [|http://www.fi.uu.nl/toepassingen/00247/toepassing_wisweb.en.html]
 * __The platonic solids:__**
 * Rotate surface (this o rbit mode is the default mode) ||
 * ^  || ** s ** || s cale surface, drag in vertical direction ||
 * ^  || ** t ** || t ranslate surface in viewing plane ||
 * ^  || ** r ** || r eset camera and display, object returns to default position ||
 * ^  || ** Right-Mouse ** || Show control window ||
 * __Level 2__**

1) Views 1 – Find the red faces and color (click) the same faces in the views. []

2) Views 2 – Color the faces of the profile as indicated in the views.   []

4) Guess the view   []

** Level 3 **

3) Building 3D shapes based on side and top views: [|http://www.fi.uu.nl/toepassingen/02015/toepassing_wisweb.en.html] Build a 3d object based on its top, front, and side views.

**__ Geometry angles __**


 * __Review of angle terms__ **

1) Angles-construct and measure []
 * __Level 1__ **

2) Angles – Reasoning []

3) Angle bisector [] This is how you spilt an angle into two congruent parts. 5) Types of Angles - exercise []
 * __ Level 2 __**

**__ Naming shapes_tessellations __**

1) Geometry Games: Name different shapes [] 2) Geometry Games: Hidden Picture [] 3) Tessellation Jigsaw [] 4) Tessellation: Flash Puzzles [] To start Puzzles click on Tessellations at the bottom menu
 * __ Level 1 __**

**__ Similar triangles – year 9 __**

Use the sliders to adjust the scale factor and base unit of the shapes. Choose a shape to model by selecting it in the yellow box.
 * 1) Explore Similar Figures**
 * []**

[] Explore similarity concept by changing triangle shape (drag any of triangle corners or point in the middle)
 * 2) Similar triangles**

[] Rotate and move smaller triangle to match right angles and overlap 2 smaller sides. Check whether the Scale Factors (SF) for all 3 corresponding sides are the same. Keep the same corner and sides overlapping but change sizes of both triangles. Find 5 more situations when all corresponding sides have the same SF, and state the lengths of these sides in both triangles. [] In the right figure, point M and N are the midpoints of AB and AC respectively. Find the relation of BC and MN. **__ Indices introduction __**
 * 3) Similar triangle applet**
 * 4) Midpoint and similar triangles**


 * INTRODUCTION**
 * Power Review **

[] []
 * Scientific Notation **
 * From the menu explore Introduction, Components, Standard to Scientific**
 * and Scientific to Standard**

[]
 * Laws of Exponents 1 – Review **
 * From the menu explore Power of Power and Power of Product**
 * Laws of Exponents 2 – Review **
 * From the menu explore Quotient and Power of Quotient**
 * []**

[]
 * Laws of Exponents 3 – Review **
 * Part 1: From the menu explore Negative Exponents, Product property, Power of Power property and Power of Product property**
 * Part 2: From the menu explore Quotient property and Power of Quotient with negative exponent**

**__ Indices practice – year 9 __**

[] [] [] [] [] []
 * INTRODUCTION**
 * 1) Indices** ** Substituting values 1 - observing **
 * 2) Indices** ** Substituting values 3 - observing **
 * 3) Indices** ** Substituting values 4 - observing **
 * __Level 1__**
 * 1) Indices** ** Substituting values 5 - practice **
 * 2) Indices** ** Substituting values 6 - practice **
 * __Level 2__**
 * 1) Battleships (easy)**

[] Answer questions in a quest for fame and fortune. []
 * 2) Adding positive exponents**
 * 3) Adding negative exponents**

[] Use symbol ^ for power, and give answers as positive indices. [] From the menu explore Multiply, Divide, and answer []
 * 4) Add/Multiply negative exponents**
 * 5) Scientific Notation Operation**
 * 6) Scientific Notation Operation**
 * From the menu explore Multiply, Divide,**

**__ Linear Equations year 9 __**
 * __Level 1__**


 * 1) Check solved linear equations presented at this address :**
 * []**


 * 2) Check solved linear equations presented at this address :**
 * @http://argyll.epsb.ca/jreed/math9/strand2/equation_methods.htm**

[] Substitute the number given for each variable in the expression. Calculate and place answer in appropriate input box in the "**Value**" column.
 * 3) Linear equations - substitution**


 * __Level 2__**

[]
 * 1) Solving linear EQUATIONS**

**2) One step linear equation generator (do 10 equations):** **@http://explorelearning.com/index.cfm?method=cResource.dspView&ResourceID=109**

**3) Single Variable Equations Quiz – solve 10 equations** **@http://library.thinkquest.org/20991/quizzes/alg/q2/test.html**  Give simple answers (i.e. 4, not x=4). There should be no spaces in your answer. If you wish to stop the quiz at any time, type //quit// at the answer prompt and click OK.

**__Level 3__**


 * 1) Equation Match**
 * []**


 * 2) Algebra scales (do 10 equations):**
 * @http://matti.usu.edu/nlvm/applets/controller/query/query.htm?qt=algebra+balance+scales**


 * 3) Equations and Inequalities Unit Quiz:**
 * []**

**__ Linear graphs – year 9 __**

Coordinates plotting using Number Plane []


 * Learning how to graph linear equations (using Y-intercept and gradient)**
 * []**

[] By clicking on **y=m x +b** explore the graph. Change parameter **m**, which represents the gradient (slope of the line) and observe how that affects the graph. Change parameter **b,** which represents **Y-intercept** and observe how that affect the graph. **__ Example: __** In the Linear Function **y=-5x+1** find gradient **m, Y- intercept and X – intercept.** **__ Solution: __** Gradient is **m is coefficient next to x pronumeral** and that is **m= -5.** ** For X –intercept: let y=0 ** in the formula y=-5x+1 ** 0 = -5x +1 ** ** 5x = -5x + 5x + 1 ** ** 5x = 1 ** **x = 1/5 -> x = 0.2 -> X – intercept** is **(0.2, 0)** ** For Y – intercept: let x = 0 ** in the formula y=-5x+1 ** y = -5×0 +1 ** y = 1 -> **Y – intercept is: (0, 1)** To find X – intercept (point where our line cuts x - axes) we solve given equation **y=-5x+1** for value of **y=0**, because where line cuts x – axes value of y is always 0. **__ QUESTIONS: __** Create graphs of following lines (as done above) by applying **gradient m** and **Y- intercept b**. For each case calculate X-intercept. Next to each graph state his gradient **m, Y- intercept and X – intercept.** ** a **// y // = 2 // x // - 1 ** b **// y // = - 2 // x // + 1 ** c **// y // =- 2 // x // - 1 ** d **// y // = 3 // x // + 3 ** e **// y // = - 3 // x // + 3 ** f **// y // = 3 // x // - 3 ** g **// y // = 2 // x // + 2 ** h **// y // = - 2 // x // + 2 Copy


 * __Level 3__**

[] Do 10 questions (with correct results) and save all the answers as above. 2) Graphing linear equations [] Type the number of the line that matches each equation [] 4) Find the equation of a line [] Read the instructions on the screen and solve 10 questions
 * 1) Graphing the line y = mx + b using Y-intercept and gradient**
 * 3) Graphing Equations and Inequalities Unit Quiz**