Transcript: Brown, Orange and Red Gradient What colours are used to represent contour lines? Revision THESE ARE LINES DRAWN ON A MAP TO SHOW EQUAL HEIGHTS ABOVE SEA LEVEL What are contour lines? Company Logo
Transcript: What to remember when finding gradient? Example 4 Solution Ending notes Example 1. Find the gradient of the straight line joining the points P(– 4, 5) and Q(4, 17). GRADIENT Solution Nur Syafiqah[L], Raudha, Wen Shu, Davin Find the gradient of the straight line joining the points A(6, 0) and B(0, 3). Formula of gradient:
Transcript: GRADIENT Gradient is the the measurement for slope The letter m is used for slope/gradient Double click anywhere & add an idea
Transcript: Draw lines with the following slopes in your work book (show your method); a. 20% b.25% c.50% d.75% e.100% f. 200% Draw a line in your work book with the same slope as this, that has a run of 12 squares...! Draw a line in your work book with the same slope as shown in the sign with a rise of 5 squares... HOW WOULD YOU WRITE THESE GRADIENTS AS ORDINARY NUMBERS? WHAT ARE THESE SLOPES AS ORDINARY NUMBERS? RISE This distance is NOT used...! Explain why you might be surprised to see road signs like this... HORIZONTAL CHANGE Which of the fractions below represent the slope of this road..? EXPLAIN...! 300% Take notes as you go...! In your workbook, draw a line that: a. has the slope shown in the image, b. is twice as steep, c. is five times as steep, d. is ten times as steep. Road signs such as these are specifically designed for cyclists and often found on French mountain roads...! Write in your work book what you think a slope of 7.1% means...? RUN 850% 150% In your note book draw lines with these gradients.. A definition of slope is Gradient or slope Here the slope is 4%...this means that for a run of 100 horizontally there's a rise of 4 vertically. What's this as a fraction...in simplest terms...? VERTICAL CHANGE Which of the following fractions represents the slope of this road...? 400% What slope is being described by this road sign...?
Transcript: Landscapes and Landforms: Gradient This line is an example of a gradient or slope. Learning intentions Todays' lesson collect, select and record geographical data and information by finding the gradient of various slopes Locates and describes the diverse features and characteristics of a range of places and environments In this lesson we will: Outline 1. Review of topographic maps 2. take notes on what gradient is and how to calculate it 3. Gradient questions as a class 4. Gradient worksheet By the end of the lesson I can Success Criteria calculate the gradient between two points on a topographic map using the gradient formula A recap: Recap Topographic maps show the shape of an area through contour lines. Contour lines connect areas of equal vertical height. A contour interval is the vertical distance between two contour intervals What is Gradient? Gradient is the slope of a feature. Gradient therefore is the measure of the steepness of a feature like a mountain when you move between points. What is gradient? On a topographic map we see gradient in the contour lines. The closer the contour lines, the steeper the slope. The further away the less steep. We calculate gradient to see how high up we go per the distance we run or walk etc. Furthermore... How to calculate gradient IN REAL LIFE x 100 How to calculate gradient? To calculate gradient we use the formula Rise = the vertical height distance between the two points --> contour interval distance Run = the horizontal distance between the two points using the scale In real life this is what it would be: ON A TOPOGRAPHIC MAP Steps: 1. find the rise number by counting the contour distance between the two points. E.g. the height of the highest point - the height of the lowest point 2. find your run value by finding the distance between the two points using the scale. 3. put these answers into your fraction. Steps Steps 4. ensure they are the same units e.g. both the rise and run are in metres or are both in kilometers 5. put the fraction in your calculator and then times your answer by 100 OR rise divide by run and then multiply the answer by 100 6. Answer should be as a percentage How successful do I feel in understanding how to calculate gradient so far? SUCCESS CRITERIA I do not know not to calculate gradient at all I have a moderate idea of how to calculate gradient but need a bit more explanation or an example I know how to calculate the gradient between 2 points AN EXAMPLE VIDEO play from 1:49 Now as a class we are going to calculate the video examples Success so far... I do not know not to calculate gradient at all I have a moderate idea of how to calculate gradient but need a bit more explanation or an example I know how to calculate the gradient between 2 points Where am I now? Please complete the gradient worksheet individually. If you need help, consult your notes, ask the person next to you or your teacher. If not finished by the end of lesson, it will be set for homework. Further instructions
Transcript: y = -4 units Gradient In this lesson we will consider gradients. We will learn how to calculate gradients from a given graph. Gradients are important as they allow us to understand the nature of the line. Because for every 2 units of y movement, there is 1 movement in the x axis Gradient = 0.5 x = 2 units Summary Gradient = -1 Gradient = -2 You now know: What the gradient of a line is. How to calculate the gradient of a line. The graphical difference between a positive and negative gradient. = 2 Focus here for a minute -4 = -2 2 The gradient of a straight line passing through the origin (0,0) as shown on the right is equal to 1. Gradient is the difference in y coordinates divided by the difference in x coordinate This means that for an increase or decrease of 1 unit in the x axis, there is an equal increase or decrease in the y axis. Why does this line have a gradient of 2? x= 2 units The gradient in this case is negative. Note in this case the slope is from right to left! Gradient = 1 Negative Gradients Gradient = -0.5 2 units So to calculate gradient, you use this formula: Change in y Change in x y = 4 units 2 units Introduction = 4 2 Gradient = 2
Transcript: Example: y = 2x + 5 gradient = 2 Applications of Gradients The Gradient (also called Slope) of a straight line shows how steep a straight line is. To calculate the Gradient: THANK YOU If the straight line equation y = mx + c GRADIENT Gradients are an important part of life. The roof of a house is built with a gradient to enable rain water to run down the roof. An aeroplane ascends at a particular gradient after take off, flies at a different gradient and descends at another gradient to safely land. Tennis courts, roads, football and cricket grounds are made with a gradient to assist drainage. m = gradient Example
Transcript: A Man walked into a black hole.... And then there was.... Reach the rainbow wheel to warp to the next level! GameElemtents LevelManager-Creates all Level objects based on filenames with a LevelCreator SplashScreen-Any screen with Buttons InputMenu-Handles text input through a TextField Player-Man is an Player implementation that can move Hazard-BinaryHazard and StaticHazard are Hazard implementations Goal-Door is a Goal implementation Platform-Impassable tile Section-Used for physics states The Engine: States Game World: Powerups Level Codes Blue Red Yellow The player must traverse each section, using each physics states to his/her advantage to avoid hazards and reach the goal Movement The Engine: GameManager Arrow key controls for movement Space for jump Backspace to return to menu M to mute music Game Play The Start Blue-Swimming Physics Red-Only Jumping Movement Yellow-Sliding Movement Purple-Reversed Gravity Orange-Flickering Player Green-Reversed Controls Powerups combine with sections to create new color states. You must be in the same color state as the section to enter it. Game Flow Then to now... Through playtesting and other research we learned that level design is difficult for Gradient. One must be careful to avoid areas of no-return where players can get stuck, but have to attempt to design a non-linear level design with a moderate difficulty. Also, beware the red to purple transition! Dodging spikes can be... well... dodgy. 2D single screen platformer Colored areas can only be entered with the correct key state Colored sections produce changed physics Hazards will cause a level restart Spikes-Static Hazards Flames-Binary Hazards Game World: Goal The Engine: GameElement Gradient GameManager manages all elements, defined by the GameElement interface. The Engine:Sprites and Tiles Included Physics States Flickering Swimming Sliding Reverse Gravity Jump Movement Only Reverse Controls How to Play Game World: Hazards Game World: Colored Sections KeyItemState-The player's key (Color state in this case) MovementState-Used with the InputManager to use flipbooks with movement PhysicsState-They physics of the Player Load Level Now lets play..... Windows E(10+) Steven Norris, Louie Tambellini, and Dan Eagle
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