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Knowledge Organiser Year 9 Term 1 Name Tutor Group Knowledge Organiser Year 9 Term 1 Name Tutor Group . Knowledge Organiser This knowledge organiser booklet contains the knowledge organisers you need for all your subjects for this term. Please make sure you bring it to school with you every day. You will use it in class and much of your homework well be set on it. In lessons you will be asked to learn a small amount of the knowledge organiser – you will do this by self-quizzing. The next lesson your starter will be linked to what you have learnt. How to self-quiz In a lesson you will be told which bit of the knowledge organiser you will learn. When you do your independent study:- 1. Write the date in your independent study book and underline. 2. Write the name of the subject that you are learning and underline. 3. Look at the section you have been asked to learn for a few minutes. Maybe read it out loud. 4. Close the knowledge organiser so that you cannot see the page. 5. Write down as much as you can remember in black pen. 6. Look back at the knowledge organiser. 7. Check what you wrote and write in the things you forgot or correct the bits you got wrong in a red pen. You might want to do this line by line or in bigger chunks but this cycle of Read Close Write Check has been found to be the best way to help you learn all the facts and concepts that you need to know. Each night you will work on all the subjects from that day. This should take about 10 minutes per subject. It should fill at least one page in your independent study book with no gaps. Your tutor will check your homework in the morning so make sure your exercise book is in your bag with your knowledge organiser and your pencil case. Contents Subject Page Mathematics 1 English 4 Science 5 Geography 13 History 15 Spanish 16 Art 18 Ceramics 21 Dance 23 Ethics 26 Music 28 PE 30 Sports Leaders 41 Year 9 mathematics KC: Apply the four operations (+ - x ÷) any numbers (positive, negative, decimals) and ensure the correct order of operations is used (BIDMAS) 1. Addition To find the total, or sum, of two or more 3 + 2 + 7 = 12 numbers. ‘add’, ‘plus’, ‘sum’ Column Method: Make sure you line up the numbers correctly. 2. Subtraction To find the difference between two numbers. 10 − 3 = 7 To find out how many are left when some are taken away. ‘minus’, ‘take away’, ‘subtract’ 3. Can be thought of as repeated addition. 3 × 6 = 6 + 6 + 6 = 18 Multiplication ‘multiply’, ‘times’, ‘product’ Column Method Example You should have a method for multiplying larger numbers together such as: Grid Method Column Method 4. Division Splitting into equal parts or groups. 20 ÷ 4 = 5 The process of calculating the number of 20 = 5 times one number is contained within another 4 one. ‘divide’, ‘share’ Short Division Example Make sure you have a method to divide bigger numbers such as short division (bus stop). 5. Multiplying Multiply each number by a power of ten until Decimals it is an integer. Multiply the numbers together. Then divide by answer by the total power of ten. 6. Dividing by a Write the question as a fraction, multiply decimal numerator and denominator by the same power or 10 until they are integers. Then divide the two numbers. 7. BIDMAS An acronym for the order you should do 6 + 3 × 5 = 21, 푛표푡 45 calculations in. BIDMAS stands for ‘Brackets, Indices, Division, 52 = 25, where the 2 is the Multiplication, Addition and Subtraction’. index/power. Indices are also known as ‘powers’ or ‘orders’. 12 ÷ 4 ÷ 2 = 1.5, 푛표푡 6 1 Year 9 mathematics KC: Solve problems involving multiples, factors, prime numbers and calculate with roots and indices (Including surds for Higher tier students) To make a number simpler but keep its 74 rounded to the nearest ten is 70, value close to what it was. because 74 is closer to 70 than 80. 1. Rounding If the digit to the right of the rounding digit is 152,879 rounded to the nearest less than 5, round down. thousand is 153,000. If the digit to the right of the rounding digit is 5 or more, round up. The position of a digit to the right of a In the number 0.372, the 7 is in the decimal point. second decimal place. 2. Decimal Place Careful with money - don’t write £27.4, 0.372 rounded to two decimal places is instead write £27.40 0.37, because the 2 tells us to round down. The significant figures of a number are the In the number 0.00821, the first digits which carry meaning (ie. are significant figure is the 8. significant) to the size of the number. In the number 2.740, the 0 is not a The first significant figure of a number significant figure. cannot be zero. 3. Significant 0.00821 rounded to 2 significant figures is Figure In a number with a decimal, trailing zeros 0.0082. are not significant. 19357 rounded to 3 significant figures is 19400. We need to include the two zeros at the end to keep the digits in the same place value columns. A range of values that a number could 0.6 has been rounded to 1 decimal have taken before being rounded or place. truncated. The error interval is: An error interval is written using inequalities, 4. Error Interval with a lower bound and an upper bound. 0.55 ≤ 푥 < 0.65 Note that the lower bound inequality can The lower bound is 0.55 be ‘equal to’, but the upper bound cannot The upper bound is 0.65 be ‘equal to’. The result of multiplying a number by an The first five multiples of 7 are: 5. Multiple integer. The times tables of a number. 7, 14, 21, 28, 35 A number that divides exactly into another The factors of 18 are: number without a remainder. 1, 2, 3, 6, 9, 18 6. Factor It is useful to write factors in pairs The factor pairs of 18 are: 1, 18 2, 9 3, 6 The smallest number that is in the times The LCM of 3, 4 and 5 is 60 because it is 7. Lowest tables of each of the numbers given. the smallest number in the 3, 4 and 5 Common times tables. Multiple (LCM) 8. Highest The biggest number that divides exactly The HCF of 6 and 9 is 3 because it is the Common into two or more numbers. biggest number that divides into 6 and 9 Factor (HCF) exactly. 2 Year 9 mathematics KC: Solve problems involving multiples, factors, prime numbers and calculate with roots and indices (Including surds for Higher tier students) 9. Prime A number with exactly two factors. The first ten prime numbers are: Number A number that can only be divided 2, 3, 5, 7, 11, 13, 17, 19, 23, 29 by itself and one. The number 1 is not prime, as it only has one factor, not two. 10. Prime A factor which is a prime number. The prime factors of 18 are: Factor 2, 3 11. Product Finding out which prime numbers of Prime multiply together to make the original Factors number. Use a prime factor tree. Also known as ‘prime factorisation’. 풑 4 1 12. Rational A number of the form , where 풑 and , 6, − , 25 are examples of Numbers 풒 9 3 풒 are integers and 풒 ≠ ퟎ. rational numbers. A number that cannot be written in 휋, 2 are examples of an irrational this form is called an ‘irrational’ numbers. number 13. Surd The irrational number that is a root of 2 is a surd because it is a root a positive integer, whose value which cannot be determined cannot be determined exactly. exactly. Surds have infinite non-recurring 2 = 1.41421356 … which never decimals. repeats. 14. Rules of 풂풃 = 풂 × 풃 48 = 16 × 3 = 4 3 Surds 풂 풂 = 25 25 5 풃 풃 = = 36 36 6 풂 풄 ± 풃 풄 = 풂 ± 풃 풄 2 5 + 7 5 = 9 5 풂 × 풂 = 풂 7 × 7 = 7 15. The process of rewriting a fraction so 3 3 × 2 6 Rationalise a that the denominator contains only = = 2 2 × 2 2 Denominator rational numbers. 6 6 3 − 7 = 3 + 7 3 + 7 3 − 7 18 − 6 7 18 − 6 7 = = = 9 − 3 7 9 − 7 2 3 Year 9 - Autumn 1 - BISP KC2 to comment on the key themes KC1 to explain the effectiveness of the opening. THEMES The Boy in the Striped Pyjamas takes place in Nazi Germany, when nine year- old Bruno's father is given a Childlike innocence/ignorance position of power at Auschwitz, and the family moves from Berlin to a house outside of the camp. The Friendship camp is visible from the family's house, and Bruno spends time walking along its fence. Bruno struggles to adjust Human nature and really know what is going on at the camp. He encounters a boy wearing striped pyjamas and a golden armband on the other side of a fence, who he Fear becomes friends with. Bruno’s family hosts a dinner for Adolf Hitler and his companion Eva. Bruno’s imprisoned friend Shmuel asks for Bruno’s help in finding his father. Bruno disguises himself as one of the prisoners and enters the camp KC3 to confidently use WETRATS to analyse WETRATS The author has shown that Bruno is rude.
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