Knowledge Organiser: Year 7 Spring 1

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Presentation transcript:

Knowledge Organiser: Year 7 Spring 1 10 Key Words Definition 5 Facts S Ascending order Going up from the smallest to the largest Quadrilateral A four sided shape Sum Adding numbers together Product Multiplication Quotient Division 5 Formulae

1 The angles inside a triangle add upto ______degrees Year 7 Knowledge Organiser Test 1 The angles inside a triangle add upto ______degrees 2 Find the missing angle a 3 Write down the first five Prime Numbers 4 Sketch an acute angle. 5 Find the area of this triangle 6 Find the sum of 16 and 12 7 What is the product of 7 and 4? 8 Why is 23 a prime number? 9 Sketch a Quadrilateral 10 Put the numbers in ascending order 3.1, 6.2 , 0.2 , 4.3 , 6.4 , 1 , 9.1

Knowledge Organiser: Year 10 Key Words Definition 5 Facts Integer A whole number (can be positive, negative or zero, not fractional or decimal) Reflective Symmetry Where, using a mirror or mirror line one side of the object is exactly reflected Rotational Symmetry the image is rotated (around a central point) so that it appears 2 or more times. How many times it appears is called the Order Symmetry Symmetry is when two or more parts are identical after a flip, slide or turn. Quadrilateral A four sided shape 5 Formulae

Knowledge Organiser: Year 9 Spring 1 10 Key Words Definition 5 Facts Square Numbers: 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144… Fibonacci Sequence: 1, 1, 2, 3, 5, 8, 13, 21, 34… Cube Numbers:1, 8, 27, 64, 125, 216, 343, 512, 729, 1000… 50% = 1 2 25% = 1 4 Secondary Data Data that is collected by somebody other than the investigator Primary Data Data that is collected by the investigator Discrete Data Data that can be counted Continuous Data Data that can be measured Median The middle number when the data is put in order Significant Figure Each of the digits of a number, starting from the first non-zero digit Percent Out of 100 Estimate Find an answer that is close enough to the right answer, usually involving a calculation Ascending Going from smallest to largest Descending Going from largest to smallest 5 Formulae Frequency Density = 𝑓𝑟𝑒𝑞𝑢𝑒𝑛𝑐𝑦 𝑐𝑙𝑎𝑠𝑠 𝑤𝑖𝑑𝑡ℎ Frequency = frequency density x class width Angle in a Pie Chart = 𝐹𝑟𝑒𝑞𝑢𝑒𝑛𝑐𝑦 𝑇𝑜𝑡𝑎𝑙 𝐹𝑟𝑒𝑞𝑢𝑒𝑛𝑐𝑦 x 360° Interquartile Range = Upper Quartile – Lower quartile Range = Biggest number – smallest number

Knowledge Organiser: Test 1 Is the following sequence ascending or descending: 5, 9, 13, 17, 21…. 2) What do we mean by percent? 3) What is the formula for Frequency Density? 4) Write out the first 12 square numbers? 5) What is a significant figure? 6) How do you find the range? 7) What is the median of 4, 5, 7, 9, 2? 8) What is primary data? 9) What is 1 2 as a percentage? 10) What is continuous data? Ascending Out of 100 Frequency Density = 𝑓𝑟𝑒𝑞𝑢𝑒𝑛𝑐𝑦 𝑐𝑙𝑎𝑠𝑠 𝑤𝑖𝑑𝑡ℎ 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144 Each of the digits of a number, starting from the first non-zero digit Biggest number – Smallest number 5 Data collected by the investigator 50% Data that can be measured

Knowledge Organiser: Test 2 1) Write an example of a descending sequence? 2) What is an estimate? 3) What is the formula for Interquartile Range? 4) What is the name of this sequence: 1, 1, 2, 3, 5, 8, 13, 21…? 5) What is discrete data? 6) What is the range of 23, 24, 53, 27, 63, 72? 7) What is the median of 5, 8, 2, 8, 9, 4? 8) How do you find the angle size in a pie chart ? 9) What is 1 4 as a percentage? 10) Data that is collected by somebody other than investigator is called? Any sequence that goes down in value Find an answer that is close enough to the right answer, usually involving a calculation Upper Quartile – Lower quartile Fibonacci Data that can be counted 49 6.5 𝐹𝑟𝑒𝑞𝑢𝑒𝑛𝑐𝑦 𝑇𝑜𝑡𝑎𝑙 𝐹𝑟𝑒𝑞𝑢𝑒𝑛𝑐𝑦 x 360° 25% Secondary Data

Knowledge Organiser: Test 3 Estimate the answer to 5.4 ×7.8 2.1 How do you calculate the frequency density? What is primary data? Write down the Fibonacci sequence. Write an example of ascending sequence. Write down the first 5 square numbers? How do you find the angle in a pie chart? Find the median of 11, 32, 27, 34, 31, 28 What is the first significant figure of 0.128 Write 50% as a fraction. 20 𝐹𝑟𝑒𝑞𝑢𝑒𝑛𝑐𝑦 𝐶𝑙𝑎𝑠𝑠 𝑊𝑖𝑑𝑡ℎ Data collected by the investigator 1, 1, 2, 3, 5, 8, 13, 21… Any sequence that goes up in value 1, 4, 9, 16, 25 𝐹𝑟𝑒𝑞𝑢𝑒𝑛𝑐𝑦 𝑇𝑜𝑡𝑎𝑙 𝐹𝑟𝑒𝑞𝑢𝑒𝑛𝑐𝑦 x 360° 29.5 1 1 2

Knowledge Organiser: Test 4 Estimate the answer to 24 ×19 48 What is the formula for the frequency on a histogram? How do you find the interquartile range? What is the median? What does descending mean? Write down the first 5 cube numbers? What is the difference between secondary and primary data? Find the range of 62, 34, 48, 47, 51, 54 What is the first significant figure of 2781 What does percent mean 8 Frequency density x class width Upper quartile – lower quartile The middle number when numbers are ordered Going from largest to smallest 1, 8, 27, 64, 125 Secondary is collected by somebody else, primary is collected by the investigator 28 2 out of 100

Knowledge Organiser: Test 5 What does estimate mean? What is secondary data? Which type of data can be counted? What does percent mean Write an example of descending sequence. Write down the square numbers? How do you find the interquartile range? The smallest number is 8. The range is 7. What is the biggest number? What is the first significant figure of 0.045 Write 1 4 . Find an answer that is close enough to the right answer, usually involving a calculation Data collected by somebody other than the investigator Discrete data Out of 100 Any sequence that goes down in value 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144 Upper quartile – lower quartile 15 4 25%

Knowledge Organiser: Test 6 Estimate the answer to 128 ×28 4.5 What do you use the following formula for 𝑓𝑟𝑒𝑞𝑢𝑒𝑛𝑐𝑦 𝑐𝑙𝑎𝑠𝑠 𝑤𝑖𝑑𝑡ℎ 3) How do you work out the range? 4) Write down the cube numbers? 5) The range is 12. The highest number is 37. What is the lowest number? 6) What is continuous data? 7) How do you find the angle in a pie chart? 8) Find the median of -3, 2, -5, -3, 1, 0 9) What is the third significant figure of 40357 10) What is primary data ? 600 Frequency Density Biggest number – smallest number 1, 8, 27, 64, 125, 216, 343, 512, 729, 1000 25 Data that can be measured 𝐹𝑟𝑒𝑞𝑢𝑒𝑛𝑐𝑦 𝑇𝑜𝑡𝑎𝑙 𝐹𝑟𝑒𝑞𝑢𝑒𝑛𝑐𝑦 x 360° -1.5 3 data collected by the investigator

Knowledge Organiser: Year 10 Key Words Definition 5 Facts Area  The area of a shape is a measure of the two dimensional space that it covers. Perimeter Perimeter refers to the distance all the way around the outside edge of a shape. Circumference Circumference is the distance around a circle. trapezium a quadrilateral with one pair of sides parallel. vertices A vertex (plural: vertices) is a point where two or more line segments meet. It is a Corner. arc an arc is any smooth curve joining two points. Surface area The surface area of a solid object is a measure of the total area that the surface of the object occupies. parallelogram A Parallelogram is a flat shape with opposite sides parallel and equal in length.  tangent A tangent to a circle is a straight line which touches the circle at only one point.  Sector of a circle  is the portion of a disk enclosed by two radii and an arc A tangent and radius meet at a right angle Opposite angles of a parallelogram are also equal   Formulae

What formula for area of a circle What is a tangent What is circumference What is a vertex What is a trapezium What formula for area of a circle What is a tangent What is the formula for area of a parallelogram What is the area of a trapezium with parallel sides of length 5cm and 7cm and height of 4cm What is the formula for the area of a triangle A tangent and radius meet at what angle Circumference is the distance around a circle. A point where 2 or more points meet a quadrilateral with one pair of sides parallel A tangent to a circle is a straight line which touches the circle at only one point.  Base x Height 24 𝑐𝑚 2 𝑏×ℎ 2 90°

Knowledge Organiser Spring 1 Half Term: Year 11 10 Key Words Definition 5 Facts Expression Numbers, symbols and operators (like +, -, x, /) grouped together without an equal sign Equation A mathematical statement that two things are equal. (Has an equal sign) Formula A group of mathematical symbols that show a relationship and are used to solve a problem. Simplify Collect like terms and make an expression look less complex. Expand Multiply the term or terms on the outside of a bracket by all terms inside a bracket. (Opposite of factorise) Solve Find the value of the variable (the unknown term). Factorise Back to brackets. To find the factors that multiply to create an expression. (Opposite of expanding) Consecutive Following each other. Two consecutive numbers are 3 and 4 for example. Estimate Round to find an approximate answer. Term A number, variable, or number-variable combination in an algebraic expression. Terms are separated by +, - or =. Terms also appear in sequences and are separated by commas. Metric units: Length – use mm, cm, m, km Area – use mm2, cm2, m2, km2, (hectares) Volume – use mm3, cm3, m3, ml, litres Mass – use g, kg Conversions: 1 litre = 1000 ml = 1000 𝒄𝒎 𝟑 1cm = 10mm 1kg = 1000g 1m = 100cm 1kg = 2.2 pounds 1km = 1000m 5 miles = 8 km 5 Formulae

Knowledge Organiser Spring1 Half Term: Year 11 Answer the following Knowledge Organiser Questions in the back of your book. Write the definitions to the following mathematical words: 6. Give two examples of units of AREA 7. Give two examples of units of Volume 8. Convert 2 litres to 𝒄𝒎 𝟑 9. Convert 10 miles to km 10. Write the formula for Pythagoras Theorem. 1. 2. 3. 4. 5.

Knowledge Organiser Spring1 Half Term: Year 11 Answer the following Knowledge Organiser Questions in the back of your book. Write the definitions to the following mathematical words: 1. 6. Give two examples of units of Mass 7. Give two examples of units of Distance 8. Convert 2km to m 9. Convert 5kg to g 10. Write the formula for volume of a prism. 2. 3. 4. 5.

Knowledge Organiser Spring1 Half Term: Year 11 Answer the following Knowledge Organiser Questions in the back of your book. 6. Simplify means….. 7. A term is…. 8. Give an example of three consecutive numbers. 9. Convert 16 km to miles 10. Estimate an answer for 2.5 + 10.2 1. 2. 3. 4. Calculate the volume of a cuboid with a length of 4cm, a width of 5cm and a height of 10cm Write the formula for the volume of a cylinder 5.

Knowledge Organiser Spring1 Half Term: Year 11 Answer the following Knowledge Organiser Questions in the back of your book. To solve means….. To expand means… How is expanding and factorising related? Write the formula for the volume of a prism. Give 3 examples for units of distance. If I travelled 8 km what would that be in miles? Write a definition for term. The expression 3a+5b-3ab has 3 terms- what are they? Find an estimate for the calculation 25.7 + 10.1 1.5 10. Give an example of 5 consecutive odd numbers.

Knowledge Organiser Spring1 Half Term: Year 11 Answer the following Knowledge Organiser Questions in the back of your book. Write the definitions to the following mathematical words: 6. Give two examples of units of AREA 7. Give two examples of units of Volume 8. Convert 2 litres to 𝒄𝒎 𝟑 9. Convert 10 miles to km 10. Write the formula for Pythagoras Theorem. 1. 2. 3. 4. 5.

Knowledge Organiser Spring1 Half Term: Year 11 Answer the following Knowledge Organiser Questions in the back of your book. Write the definitions to the following mathematical words: 1. 6. Give two examples of units of Mass 7. Give two examples of units of Distance 8. Convert 2km to m 9. Convert 5kg to g 10. Write the formula for volume of a prism. 2. 3. 4. 5.