03032021 03032021 Perpendicular Lines Perpendicular lines meet at
![03/03/2021 03/03/2021](https://slidetodoc.com/presentation_image_h/1ffe3060e692d530cf5943740232a1a9/image-1.jpg)
![03/03/2021 Perpendicular Lines Perpendicular lines meet at right angles If you multiply gradients of 03/03/2021 Perpendicular Lines Perpendicular lines meet at right angles If you multiply gradients of](https://slidetodoc.com/presentation_image_h/1ffe3060e692d530cf5943740232a1a9/image-2.jpg)
![03/03/2021 Finding a Perpendicular Gradient Find the numbers which are needed to make -1 03/03/2021 Finding a Perpendicular Gradient Find the numbers which are needed to make -1](https://slidetodoc.com/presentation_image_h/1ffe3060e692d530cf5943740232a1a9/image-3.jpg)
![03/03/2021 Gradient 1 x Gradient 2 = -1 for perpendicular lines y=-1/3 x+6 y=3 03/03/2021 Gradient 1 x Gradient 2 = -1 for perpendicular lines y=-1/3 x+6 y=3](https://slidetodoc.com/presentation_image_h/1ffe3060e692d530cf5943740232a1a9/image-4.jpg)
![03/03/2021 Calculate the gradient of a line perpendicular to the following lines 1) 2) 03/03/2021 Calculate the gradient of a line perpendicular to the following lines 1) 2)](https://slidetodoc.com/presentation_image_h/1ffe3060e692d530cf5943740232a1a9/image-5.jpg)
![03/03/2021 Calculating more complicated perpendicular gradients How can we calculate a gradient for a 03/03/2021 Calculating more complicated perpendicular gradients How can we calculate a gradient for a](https://slidetodoc.com/presentation_image_h/1ffe3060e692d530cf5943740232a1a9/image-6.jpg)
![03/03/2021 Use the reciprocal button to find the following reciprocals 1) 2) 3) 4) 03/03/2021 Use the reciprocal button to find the following reciprocals 1) 2) 3) 4)](https://slidetodoc.com/presentation_image_h/1ffe3060e692d530cf5943740232a1a9/image-7.jpg)
![03/03/2021 Finding the equation of a line Find the equation of the line which 03/03/2021 Finding the equation of a line Find the equation of the line which](https://slidetodoc.com/presentation_image_h/1ffe3060e692d530cf5943740232a1a9/image-8.jpg)
![03/03/2021 Example 2 Find the equation of the line which is perpendicular y=5 x 03/03/2021 Example 2 Find the equation of the line which is perpendicular y=5 x](https://slidetodoc.com/presentation_image_h/1ffe3060e692d530cf5943740232a1a9/image-9.jpg)
![03/03/2021 03/03/2021](https://slidetodoc.com/presentation_image_h/1ffe3060e692d530cf5943740232a1a9/image-10.jpg)
![03/03/2021 Plenary Spot the mistakes: Find the equation of the line which is perpendicular 03/03/2021 Plenary Spot the mistakes: Find the equation of the line which is perpendicular](https://slidetodoc.com/presentation_image_h/1ffe3060e692d530cf5943740232a1a9/image-11.jpg)
![03/03/2021 I can work out intervals on a number line Fluency 03/03/2021 I can work out intervals on a number line Fluency](https://slidetodoc.com/presentation_image_h/1ffe3060e692d530cf5943740232a1a9/image-12.jpg)
![03/03/2021 L/Q: Keywords Power OF 3 TIME 5 Minute Timer Gradient, Intercept, Straight Line, 03/03/2021 L/Q: Keywords Power OF 3 TIME 5 Minute Timer Gradient, Intercept, Straight Line,](https://slidetodoc.com/presentation_image_h/1ffe3060e692d530cf5943740232a1a9/image-13.jpg)
![03/03/2021 03/03/2021](https://slidetodoc.com/presentation_image_h/1ffe3060e692d530cf5943740232a1a9/image-14.jpg)
![03/03/2021 I can work out intervals on a number line Fluency Reasoning Problem Solving 03/03/2021 I can work out intervals on a number line Fluency Reasoning Problem Solving](https://slidetodoc.com/presentation_image_h/1ffe3060e692d530cf5943740232a1a9/image-15.jpg)
![03/03/2021 I can work out intervals on a number line Fluency Reasoning Problem Solving 03/03/2021 I can work out intervals on a number line Fluency Reasoning Problem Solving](https://slidetodoc.com/presentation_image_h/1ffe3060e692d530cf5943740232a1a9/image-16.jpg)
![03/03/2021 I can work out intervals on a number line Fluency 03/03/2021 I can work out intervals on a number line Fluency](https://slidetodoc.com/presentation_image_h/1ffe3060e692d530cf5943740232a1a9/image-17.jpg)
![03/03/2021 I can work out intervals on a number line Reasoning 03/03/2021 I can work out intervals on a number line Reasoning](https://slidetodoc.com/presentation_image_h/1ffe3060e692d530cf5943740232a1a9/image-18.jpg)
![03/03/2021 I can work out intervals on a number line Problem Solving 03/03/2021 I can work out intervals on a number line Problem Solving](https://slidetodoc.com/presentation_image_h/1ffe3060e692d530cf5943740232a1a9/image-19.jpg)
- Slides: 19
![03032021 03/03/2021](https://slidetodoc.com/presentation_image_h/1ffe3060e692d530cf5943740232a1a9/image-1.jpg)
03/03/2021
![03032021 Perpendicular Lines Perpendicular lines meet at right angles If you multiply gradients of 03/03/2021 Perpendicular Lines Perpendicular lines meet at right angles If you multiply gradients of](https://slidetodoc.com/presentation_image_h/1ffe3060e692d530cf5943740232a1a9/image-2.jpg)
03/03/2021 Perpendicular Lines Perpendicular lines meet at right angles If you multiply gradients of perpendicular lines you will always get -1
![03032021 Finding a Perpendicular Gradient Find the numbers which are needed to make 1 03/03/2021 Finding a Perpendicular Gradient Find the numbers which are needed to make -1](https://slidetodoc.com/presentation_image_h/1ffe3060e692d530cf5943740232a1a9/image-3.jpg)
03/03/2021 Finding a Perpendicular Gradient Find the numbers which are needed to make -1 Think about the Do it Now How do reciprocals work? 3 x -1/3 = -1 7 x -1/7 = -1 -9 x 1/9 = -1 -5 x 1/5 = -1 -1/5 x 5 = -1 -2/7 x 7/2 = -1
![03032021 Gradient 1 x Gradient 2 1 for perpendicular lines y13 x6 y3 03/03/2021 Gradient 1 x Gradient 2 = -1 for perpendicular lines y=-1/3 x+6 y=3](https://slidetodoc.com/presentation_image_h/1ffe3060e692d530cf5943740232a1a9/image-4.jpg)
03/03/2021 Gradient 1 x Gradient 2 = -1 for perpendicular lines y=-1/3 x+6 y=3 x-8 y=-1/3 x+7 y=-1/3 x-11 3 times -1/3 gives -1 So any line with a gradient of -1/3 will be perpendicular to y=3 x-8
![03032021 Calculate the gradient of a line perpendicular to the following lines 1 2 03/03/2021 Calculate the gradient of a line perpendicular to the following lines 1) 2)](https://slidetodoc.com/presentation_image_h/1ffe3060e692d530cf5943740232a1a9/image-5.jpg)
03/03/2021 Calculate the gradient of a line perpendicular to the following lines 1) 2) 3) 4) 5) 6) 7) 8) y= y= 2 x-4 0. 5 x +6 x -5 4 x -8 1/4 x +2 0. 25 x -5 5 x +6 8 x -6 5 minutes End Hint: 1 divided by the number gives the reciprocal- remember a perpendicular line will have the opposite gradient
![03032021 Calculating more complicated perpendicular gradients How can we calculate a gradient for a 03/03/2021 Calculating more complicated perpendicular gradients How can we calculate a gradient for a](https://slidetodoc.com/presentation_image_h/1ffe3060e692d530cf5943740232a1a9/image-6.jpg)
03/03/2021 Calculating more complicated perpendicular gradients How can we calculate a gradient for a line perpendicular to y=3/5 x+4? What is 1 divided by 3/5? Hint: 1 divided by the number gives the reciprocal- remember a perpendicular line will have the opposite gradient
![03032021 Use the reciprocal button to find the following reciprocals 1 2 3 4 03/03/2021 Use the reciprocal button to find the following reciprocals 1) 2) 3) 4)](https://slidetodoc.com/presentation_image_h/1ffe3060e692d530cf5943740232a1a9/image-7.jpg)
03/03/2021 Use the reciprocal button to find the following reciprocals 1) 2) 3) 4) 5) 6) 7) 8) 4/9 1. 25 1/3 2/7 5 5. 75 1. 75 6/7 4 minutes End
![03032021 Finding the equation of a line Find the equation of the line which 03/03/2021 Finding the equation of a line Find the equation of the line which](https://slidetodoc.com/presentation_image_h/1ffe3060e692d530cf5943740232a1a9/image-8.jpg)
03/03/2021 Finding the equation of a line Find the equation of the line which is perpendicular y=2 x + 8 at the point (1, 10) Gradient will be -0. 5 Equation so far is y=-0. 5 x + c We know it passes through (1, 10) so put these values in 10=-0. 5+ c c must be 10. 5 y=-0. 5 x + 10. 5
![03032021 Example 2 Find the equation of the line which is perpendicular y5 x 03/03/2021 Example 2 Find the equation of the line which is perpendicular y=5 x](https://slidetodoc.com/presentation_image_h/1ffe3060e692d530cf5943740232a1a9/image-9.jpg)
03/03/2021 Example 2 Find the equation of the line which is perpendicular y=5 x + 8 at the point (5, 33) Gradient will be -1/5 Equation so far is y=-1/5 x + c We know it passes through (5, 33) so put these values in 33=-1+ c c must be 34 y=-2 x + 34
![03032021 03/03/2021](https://slidetodoc.com/presentation_image_h/1ffe3060e692d530cf5943740232a1a9/image-10.jpg)
03/03/2021
![03032021 Plenary Spot the mistakes Find the equation of the line which is perpendicular 03/03/2021 Plenary Spot the mistakes: Find the equation of the line which is perpendicular](https://slidetodoc.com/presentation_image_h/1ffe3060e692d530cf5943740232a1a9/image-11.jpg)
03/03/2021 Plenary Spot the mistakes: Find the equation of the line which is perpendicular to y = 2 x + 3 and passes through the point (3, 9). -1 ÷ 2 = ½ y = ½x + c 9 = ½(3) + c 3 = 1½ + c 4½ = c y = ½x + 4½
![03032021 I can work out intervals on a number line Fluency 03/03/2021 I can work out intervals on a number line Fluency](https://slidetodoc.com/presentation_image_h/1ffe3060e692d530cf5943740232a1a9/image-12.jpg)
03/03/2021 I can work out intervals on a number line Fluency
![03032021 LQ Keywords Power OF 3 TIME 5 Minute Timer Gradient Intercept Straight Line 03/03/2021 L/Q: Keywords Power OF 3 TIME 5 Minute Timer Gradient, Intercept, Straight Line,](https://slidetodoc.com/presentation_image_h/1ffe3060e692d530cf5943740232a1a9/image-13.jpg)
03/03/2021 L/Q: Keywords Power OF 3 TIME 5 Minute Timer Gradient, Intercept, Straight Line, Co-ordinates, Plot, Substitution, Parallel, Perpendicular, Reflection
![03032021 03/03/2021](https://slidetodoc.com/presentation_image_h/1ffe3060e692d530cf5943740232a1a9/image-14.jpg)
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![03032021 I can work out intervals on a number line Fluency Reasoning Problem Solving 03/03/2021 I can work out intervals on a number line Fluency Reasoning Problem Solving](https://slidetodoc.com/presentation_image_h/1ffe3060e692d530cf5943740232a1a9/image-15.jpg)
03/03/2021 I can work out intervals on a number line Fluency Reasoning Problem Solving
![03032021 I can work out intervals on a number line Fluency Reasoning Problem Solving 03/03/2021 I can work out intervals on a number line Fluency Reasoning Problem Solving](https://slidetodoc.com/presentation_image_h/1ffe3060e692d530cf5943740232a1a9/image-16.jpg)
03/03/2021 I can work out intervals on a number line Fluency Reasoning Problem Solving
![03032021 I can work out intervals on a number line Fluency 03/03/2021 I can work out intervals on a number line Fluency](https://slidetodoc.com/presentation_image_h/1ffe3060e692d530cf5943740232a1a9/image-17.jpg)
03/03/2021 I can work out intervals on a number line Fluency
![03032021 I can work out intervals on a number line Reasoning 03/03/2021 I can work out intervals on a number line Reasoning](https://slidetodoc.com/presentation_image_h/1ffe3060e692d530cf5943740232a1a9/image-18.jpg)
03/03/2021 I can work out intervals on a number line Reasoning
![03032021 I can work out intervals on a number line Problem Solving 03/03/2021 I can work out intervals on a number line Problem Solving](https://slidetodoc.com/presentation_image_h/1ffe3060e692d530cf5943740232a1a9/image-19.jpg)
03/03/2021 I can work out intervals on a number line Problem Solving
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