Students learn the definition of slope and calculate the slope of lines.
Students also learn to consider the slopes of parallel lines and perpendicular lines.
* Represent a linear function.
* Determine whether a linear function is increasing, decreasing, or constant.
* Interpret slope as a rate of change.
* Write and interpret an equation for a linear function.
* Determine whether lines are parallel or perpendicular.
* Write the equation of a line parallel or perpendicular to a given line.
Mathematics (from Greek μάθημα máthēma, “knowledge, study, learning”) is the study of topics such as quantity (numbers), structure, space, and change. There is a range of views among mathematicians and philosophers as to the exact scope and definition of mathematics
* Represent a linear function.
* Determine whether a linear function is increasing, decreasing, or constant.
* Interpret slope as a rate of change.
* Write and interpret an equation for a linear function.
* Determine whether lines are parallel or perpendicular.
* Write the equation of a line parallel or perpendicular to a given line.
Mathematics (from Greek μάθημα máthēma, “knowledge, study, learning”) is the study of topics such as quantity (numbers), structure, space, and change. There is a range of views among mathematicians and philosophers as to the exact scope and definition of mathematics
Students learn to define and identify linear equations. They also learn the definition of Standard Form of a linear equation.
Students also learn to graph linear equations using x and y intercepts.
[Note: This is a partial preview. To download this presentation, visit:
https://www.oeconsulting.com.sg/training-presentations]
Sustainability has become an increasingly critical topic as the world recognizes the need to protect our planet and its resources for future generations. Sustainability means meeting our current needs without compromising the ability of future generations to meet theirs. It involves long-term planning and consideration of the consequences of our actions. The goal is to create strategies that ensure the long-term viability of People, Planet, and Profit.
Leading companies such as Nike, Toyota, and Siemens are prioritizing sustainable innovation in their business models, setting an example for others to follow. In this Sustainability training presentation, you will learn key concepts, principles, and practices of sustainability applicable across industries. This training aims to create awareness and educate employees, senior executives, consultants, and other key stakeholders, including investors, policymakers, and supply chain partners, on the importance and implementation of sustainability.
LEARNING OBJECTIVES
1. Develop a comprehensive understanding of the fundamental principles and concepts that form the foundation of sustainability within corporate environments.
2. Explore the sustainability implementation model, focusing on effective measures and reporting strategies to track and communicate sustainability efforts.
3. Identify and define best practices and critical success factors essential for achieving sustainability goals within organizations.
CONTENTS
1. Introduction and Key Concepts of Sustainability
2. Principles and Practices of Sustainability
3. Measures and Reporting in Sustainability
4. Sustainability Implementation & Best Practices
To download the complete presentation, visit: https://www.oeconsulting.com.sg/training-presentations
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A personal brand exploration presentation summarizes an individual's unique qualities and goals, covering strengths, values, passions, and target audience. It helps individuals understand what makes them stand out, their desired image, and how they aim to achieve it.
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Cracking the Workplace Discipline Code Main.pptxWorkforce Group
Cultivating and maintaining discipline within teams is a critical differentiator for successful organisations.
Forward-thinking leaders and business managers understand the impact that discipline has on organisational success. A disciplined workforce operates with clarity, focus, and a shared understanding of expectations, ultimately driving better results, optimising productivity, and facilitating seamless collaboration.
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Discover the innovative and creative projects that highlight my journey throu...dylandmeas
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7. Consider the options: 1) Keep the same slope of his / her path. Not a good choice! 2) Go straight up.
8. Consider the options: 1) Keep the same slope of his / her path. Not a good choice! 2) Go straight up.
9. Consider the options: 1) Keep the same slope of his / her path. Not a good choice! 2) Go straight up. Not possible! This is an airplane, not a helicopter.
11. Fortunately, there is a way to measure a proper “ slope ” to clear the obstacle. We measure the “ change in height ” required and divide that by the “ horizontal change ” required.
12. Fortunately, there is a way to measure a proper “ slope ” to clear the obstacle. We measure the “ change in height ” required and divide that by the “ horizontal change ” required.
13. Fortunately, there is a way to measure a proper “ slope ” to clear the obstacle. We measure the “ change in height ” required and divide that by the “ horizontal change ” required.
14. Fortunately, there is a way to measure a proper “ slope ” to clear the obstacle. We measure the “ change in height ” required and divide that by the “ horizontal change ” required.
15. Fortunately, there is a way to measure a proper “ slope ” to clear the obstacle. We measure the “ change in height ” required and divide that by the “ horizontal change ” required.
16. Fortunately, there is a way to measure a proper “ slope ” to clear the obstacle. We measure the “ change in height ” required and divide that by the “ horizontal change ” required.
17. Fortunately, there is a way to measure a proper “ slope ” to clear the obstacle. We measure the “ change in height ” required and divide that by the “ horizontal change ” required.
20. FINDING THE SLOPE OF A LINE Slope x y The slope m of the non-vertical line passing through the points and is
21. FINDING THE SLOPE OF A LINE Slope x y The slope m of the non-vertical line passing through the points and is
22. FINDING THE SLOPE OF A LINE Slope x y The slope m of the non-vertical line passing through the points and is
23. FINDING THE SLOPE OF A LINE Slope x y The slope m of the non-vertical line passing through the points and is
24. FINDING THE SLOPE OF A LINE Slope x y The slope m of the non-vertical line passing through the points and is
25. The slope m of a non-vertical line is the number of units the line rises or falls for each unit of horizontal change from left to right. Slope y x (1, 1) (3, 6)
26. The slope m of a non-vertical line is the number of units the line rises or falls for each unit of horizontal change from left to right. Slope y x (1, 1) (3, 6)
27. The slope m of a non-vertical line is the number of units the line rises or falls for each unit of horizontal change from left to right. Slope y x (1, 1) (3, 6)
28. The slope m of a non-vertical line is the number of units the line rises or falls for each unit of horizontal change from left to right. rise = 6 - 1 = 5 units Slope y x (1, 1) (3, 6)
29. The slope m of a non-vertical line is the number of units the line rises or falls for each unit of horizontal change from left to right. run = 3 - 1 = 2 units rise = 6 - 1 = 5 units Slope y x (1, 1) (3, 6)
30. The slope m of a non-vertical line is the number of units the line rises or falls for each unit of horizontal change from left to right. run = 3 - 1 = 2 units rise = 6 - 1 = 5 units Slope y x (1, 1) (3, 6)
33. Slope Find the slope of the line. run = 8 - 2 = 6 units rise = 8 - 3 = 5 units y x (2, 3) (8, 8)
34. Slope Find the slope of the line. run = 8 - 2 = 6 units rise = 8 - 3 = 5 units y x (2, 3) (8, 8)
35. Plot the points (-4, 7) and (4, -1) and draw a line through them. Find the slope of the line passing through the points. Slope y x 10 0 -5 -5 5 -5 10 -5 0 5
36. Plot the points (-4, 7) and (4, -1) and draw a line through them. Find the slope of the line passing through the points. Slope y x 10 0 -5 -5 5 -5 10 -5 0 5
37. Plot the points (-4, 7) and (4, -1) and draw a line through them. Find the slope of the line passing through the points. Slope y x 10 0 -5 -5 5 -5 10 -5 0 5
38. Plot the points (-4, 7) and (4, -1) and draw a line through them. Find the slope of the line passing through the points. Slope y x 10 0 -5 -5 5 -5 10 -5 0 5
39. Plot the points (-4, 7) and (4, -1) and draw a line through them. Find the slope of the line passing through the points. Slope y x 10 0 -5 -5 5 -5 10 -5 0 5
40. Plot the points (-4, 7) and (4, -1) and draw a line through them. Find the slope of the line passing through the points. Slope y x 10 0 -5 -5 5 -5 10 -5 0 5 -8 8
41. Plot the points (-4, 7) and (4, -1) and draw a line through them. Find the slope of the line passing through the points. Slope y x 10 0 -5 -5 5 -5 10 -5 0 5 -8 8
42. Plot the points (-4, 7) and (4, -1) and draw a line through them. Find the slope of the line passing through the points. Negative slope: Falls from left to right Slope y x 10 0 -5 -5 5 -5 10 -5 0 5 -8 8
43. Graph the line passing through point (1, 1) with a slope of 2. Slope y x
44. Graph the line passing through point (1, 1) with a slope of 2. 1) Graph the point (1, 1). Slope y x
45. Graph the line passing through point (1, 1) with a slope of 2. 1) Graph the point (1, 1). Slope y x 2) Follow the slope of to locate another point on the line.
46. Graph the line passing through point (1, 1) with a slope of 2. 1) Graph the point (1, 1). Slope y x 2) Follow the slope of to locate another point on the line.
47. Graph the line passing through point (1, 1) with a slope of 2. 1) Graph the point (1, 1). Slope y x 2) Follow the slope of to locate another point on the line.
48. Graph the line passing through point (1, 1) with a slope of 2. 1) Graph the point (1, 1). Slope y x 2) Follow the slope of to locate another point on the line.
49. Graph the line passing through point (1, 1) with a slope of 2. 1) Graph the point (1, 1). 3) Draw the line, connecting the two points. Slope y x 2) Follow the slope of to locate another point on the line.
50. Graph the line passing through point (1, 1) with a slope of 2. 1) Graph the point (1, 1). 3) Draw the line, connecting the two points. Slope y x 2) Follow the slope of to locate another point on the line.
51. y x If the line rises to the right, then the slope is positive. Slope
52. y x If the line rises to the right, then the slope is positive. Slope
53. y x If the line rises to the right, then the slope is positive. Slope y x If the line falls to the right, then the slope is negative.
54. y x If the line rises to the right, then the slope is positive. Slope y x If the line falls to the right, then the slope is negative.
55. Slope y x If the line is horizontal, then the slope is zero.
56. Slope y x If the line is horizontal, then the slope is zero.
57. Slope y x If the line is horizontal, then the slope is zero. y x If the line is vertical, then the slope is undefined.
58. Slope y x If the line is horizontal, then the slope is zero. y x If the line is vertical, then the slope is undefined.
59. Slope In a plane, nonvertical lines _________________ are parallel . y x
60. Slope In a plane, nonvertical lines _________________ are parallel . with the same slope y x
61. Slope In a plane, nonvertical lines _________________ are parallel . with the same slope y x
62. Slope In a plane, nonvertical lines _________________ are parallel . with the same slope y x
63. In a plane, nonvertical lines are perpendicular if and only if their slopes are _________________. Slope y x
64. In a plane, nonvertical lines are perpendicular if and only if their slopes are _________________. negative reciprocal Slope y x
65. In a plane, nonvertical lines are perpendicular if and only if their slopes are _________________. negative reciprocal Slope y x
66. In a plane, nonvertical lines are perpendicular if and only if their slopes are _________________. negative reciprocal Slope y x