This website uses cookies to ensure you have the best experience.

# Lesson Plam Essay

4866 words - 20 pages

Mathematics overview: Stage 7

Unit | Hours | Mastery indicators | Essential knowledge |
Numbers and the number system | 9 | * Use positive integer powers and associated real roots * Apply the four operations with decimal numbers * Write a quantity as a fraction or percentage of another * Use multiplicative reasoning to interpret percentage change * Add, subtract, multiply and divide with fractions and mixed numbers * Check calculations using approximation, estimation or inverse operations * Simplify and manipulate expressions by collecting like terms * Simplify and manipulate expressions by multiplying a single term over a bracket * Substitute numbers into formulae ...view middle of the document...

g. 53 is read as ‘5 to the power of 3’ and means ‘3 lots of 5 multiplied together’Radical notation: e.g. √49 is generally read as ‘the square root of 49’ and means ‘the positive square root of 49’; 3√8 means ‘the cube root of 8’ | Pupils need to know how to use a scientific calculator to work out powers and roots.Note that while the square root symbol (√) refers to the positive square root of a number, every positive number has a negative square root too.NCETM: Departmental workshop: Index NumbersNCETM: GlossaryCommon approachesThe following definition of a prime number should be used in order to minimise confusion about 1: A prime number is a number with exactly two factors.Every classroom has a set of number classification posters on the wall |
Reasoning opportunities and probing questions | Suggested activities | Possible misconceptions |
* When using Eratosthenes sieve to identify prime numbers, why is there no need to go further than the multiples of 7? If this method was extended to test prime numbers up to 200, how far would you need to go? Convince me. * Kenny says ’20 is a square number because 102 = 20’. Explain why Kenny is wrong. Kenny is partially correct. How could he change his statement so that it is fully correct? * Always / Sometimes / Never: the lowest common multiple of two numbers is found by multiplying the two numbers together | KM: Exploring primes activities: Factors of square numbers; Mersenne primes; LCM sequence; n² and (n + 1)²; n² and n² + n; n² + 1; n! + 1; n! – 1; x2 + x +41KM: Use the method of Eratosthenes' sieve to identify prime numbers, but on a grid 6 across by 17 down instead. What do you notice?KM: Square number puzzleKM: History and Culture: Goldbach’s ConjecturesNRICH: Factors and multiplesNRICH: Powers and rootsLearning reviewwww.diagnosticquestions.com | * Many pupils believe that 1 is a prime number – a misconception which can arise if the definition is taken as ‘a number which is divisible by itself and 1’ * A common misconception is to believe that 53 = 5 × 3 = 15 * See pedagogical note about the square root symbol too |

Counting and comparing | 4 hours |
Key concepts | The Big Picture: Number and Place Value progression map |
* order positive and negative integers, decimals and fractions * use the symbols =, ≠, <, >, ≤, ≥ |
|
Possible learning intentions | Possible success criteria |
* Compare numbers * Order numbers | * Place a set of negative numbers in order * Place a set of mixed positive and negative numbers in order * Identify a common denominator that can be used to order a set of fractions * Order fractions where the denominators are not multiples of each other * Order a set of numbers including a mixture of fractions, decimals and negative numbers * Use inequality symbols to compare numbers * Make correct use of the symbols = and ≠ |
Prerequisites | Mathematical language | Pedagogical notes |
* Understand that...

## Other Papers Like Lesson Plam

### A Heart Of Darkness Essay

1748 words - 7 pages In this short story, there are frequent significant subject and ideas that make the story, "A Heart of Darkness," by Joseph Conrad, and haunting novel. The main theme is absolute white power over the natives. The theme validates the corruption, and the dependence caused by the white people as they took over the Congo. White men were giving all the power; they had no self-control, and in the end they did not use wisely. The white men became

### The Aspects Of Vulnerability Among The Exploited In Medical Research

2287 words - 10 pages Essentially, everyone is in some state of vulnerability. However, some of us are more susceptible to harm due to our vulnerabilities. The susceptible are the individuals with the greatest risk. These individuals risk the loss of their autonomy, and maybe even their lives. Vulnerable populations can be found in every subset of society. However, as previously mentioned, there are some vulnerable populations that are at an even greater risk than

### The Hitchhiker’S Guide To The Galaxy

1171 words - 5 pages The Hitchhiker’s Guide to the Galaxy As the human race makes life-changing discoveries, it is made apparent that there is always more to learn as the universe, instead of becoming familiar, is becoming absurd. The Hitchhiker’s Guide to the Galaxy, written by Douglas Adams, as well as the 2005 film adaption, portrays absurdity to be an all-encompassing system in the universe. Through the introduction and attempt to understand lack of reason, the

### The Ford Motor Company Wage Increase Of 1914 And The Theory Of Incentives And Efficiency Wages

1252 words - 6 pages ‘It’s not the employer who pays the wages. Employers only handle the money. It is the customer who pays the wages’ (Henry Ford, cited in Johnson and Weinstein 2004, p. 2). When the Ford Motor Company announced that it would more than double the wages of its workers in January 1914 to a ‘five-dollar day’ minimum, was this a contradiction to Henry Ford’s statement? If customers are actually the ultimate payers of wages, then more than

### Historical Analysis Of The Economical Breakthroughs Of The Industrial Revolution

1396 words - 6 pages A Historical Analysis of the Economical Breakthroughs of the Industrial Revolution During the Industrial Revolution, many elements of society experienced huge breakthroughs that would change the way they functioned forever. Economics were definitely one of them. With many new inventions and many factories appearing, many, many, more resources were being created than ever before. Also, all of the revenue from these resources was being given to

### Leadership Portrayed in Monologue from Shakespeare’s Henry V

1214 words - 5 pages Leadership is defined as a socially constructed process and which also affect organizational future outcomes. Leader is someone at high position who have overall duty for an organization, she or he decide what to do and the way how to achieve it. (Carter and Greer, 2013)The role of leader is extremely important for an organization, leader use their own power to influence the followers though many different ways such as motivation in order to

### Cuba Civil Rights

1906 words - 8 pages Picture a country that has limits on how much you can make random government imprisonments and more what do you do. That is the situation for the eleven million seventy-five thousand two hundred forty-four people of Cuba since the takeover of Fidel Castro. The US is opposed to Castro taking control of Cuba. Castro managed to ease the United States nerves when he said that Cuba was against all forms of communism. According to Lana Wylie the Union

### US Freight System

1273 words - 6 pages General Environment Each American requires the movement of approximately 40 tons of freight per year across the freight network. This includes everything from shirts to lawn mower to orange juice. • As the U.S. population expands, the U.S. freight system will be called upon to meet the demands of a larger population • Between 2010 and 2035, the system will experience a 22 percent increase in the total amount of tonnage it moves • By 2050, with

### Democratic Peace Theory

1852 words - 8 pages Intro: US Presidents have made it a goal during their term(s) in office to establish a good relationship with foreign countries and even try to improve upon existing connections with our allies. Some believe it is to prevent conflicts between the countries while others dispute that it is a threat assessment by the United States to pick and choose their friends and enemies. Preventing conflict between two democracies or countries that practice

### Booker T. Washington

1621 words - 7 pages “Success is to be measured not so much by the position that one has reached in life as by the obstacles which he has overcome” –Booker T. Washing. Booker Taliaferro Washington was born in Hale’s Ford, Virginia on April 5th, 1856 to Jane Burroughs and an unknown White man. Washington was married three times. His first wife was Fannie N. Smith from Malden, West Virginia. Booker and Fannie were married in the summer of 1882 and had one child

### Corn, Broccoli, Grass Or Balanced

2611 words - 11 pages About a century ago, there was not an epidemic of diet-related illness, a bizarre account of destroyed farmland, dead zones in our oceans created by chemical run-off spilling into the waterways, and there sure was not millions of people questioning the moral ethics of their diet. In the Omnivore’s Dilemma: A Natural History of Four Meals, the author Michael Pollan goes on a journey to investigate the sources of the nation’s food supply, for which

## Related Essays

### Freedom And Responsibility Essay

2141 words - 9 pages Built within the Constitution of the United States are specifically defined freedoms that are guaranteed to all citizens. Conversely, with every constitutional freedom there comes a corresponding responsibility. On September 25, 1789, the state legislature’s twelve proposed amendments were transmitted by congress, the first two dealing with congressional representation and congressional pay. The following numbers three through twelve were

### Hate Crime Laws Essay

2348 words - 10 pages On June 7, 1998, 49-year-old James Byrd Jr. of Texas accepted a ride from three white men, who then beat him severely, urinated on him, chained him by his ankles to the back of their pick-up truck, dragged him for three miles into the countryside, and dumped his corpse in front of an African-American cemetery (Graczyk). A little over a year later, a jury sentenced ring leader John King to death by lethal injection (“Man Executed for Dragging

### Rational Emotional Behavior Therapy Case Study Conceptualization And Treatment Plan

2140 words - 9 pages Rational Emotional Behavior Therapy Case Study of Sarah: A Conceptualization and Treatment Plan Rational emotive behavior therapy, REBT, was developed by Albert Ellis and holds the central belief that the events in our lives do not cause our disturbances but that they are instead caused by our view of the events (Murdock, 2009). Murdock (2009) states that “people are seen as responsible for their behavior” (p. 279) but, because they are

### Holidays In Albania Essay

1636 words - 7 pages Have you ever thought about having exciting and incredibly cheap vacations? Albania might be the right choice. According to My Travel Guide, Albania is ranked the fourth among ten places worth visiting in Eastern Europe (“Top 10 Eastern European Destinations”). One can encounter three kinds of vacations in this Mediterranean country: winter, summer, and cultural. The ideal places to spend your winter vacations are the Albanian Alps. They are