Lesson-1.1.5- Express an integer as a product of its prime factors. - Arif Sir's Science Hub

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Chapter-1. Integers (number)

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Lesson-1.1.1- Add, subtract, multiply and divide positive and negative numbers in context.

Lesson-1.1.2- Use the terminology of primes, multiples, factors, common multiples, common factors, highest common factor and lowest common multiple.

Lesson-1.1.3- Identify common prime factors, common factors and common multiples.

Lesson-1.1.4- Identify highest common factors (HCF), lowest common multiples (LCM) and prime factors and use to solve problems.

Lesson-1.1.5- Express an integer as a product of its prime factors.

Lesson-1.1.6-Know square numbers up to 144

Lesson-1.1.7- Know cube numbers up to 125.

Lesson-1.1.8- Know exact square roots up to 144 and exact cube roots up to 125.

Lesson-1.1.9- Use index notation and index laws.

Lesson-1.1.10- Use index laws with zero and negative indices.

Lesson-1.1.11- Use order of operations to calculate combinations of powers, roots and brackets.

Lesson-1.1.12- Round integers up to three significant figures. Identify upper and lower bounds for discrete data.

Chapter-2. Fractions and decimals (number )

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Lesson-2.1.1- Write numbers with up to three decimal places in order of size and write statements using inequality signs: >, <, , 

Lesson-2.1.2- Round decimals up to 3 decimal places. Round 3.141 59 to 3 decimal places.

Lesson-2.1.3- Round decimals up to 3 significant figures. What is 0.000 010 497 5 to 3sf?

Lesson-2.1.4- Round decimals to make estimates and approximations of calculations.

Lesson-2.1.5- Add and subtract decimals up to 3 decimal places.

Lesson-2.1.6- Multiply and divide any number by 0.1, 0.01, 0.001.

Lesson-2.1.7- Multiply and divide decimals by integers and/or decimals.

Lesson-2.1.8- Converting fractions to decimals and vice versa. Understand and use equivalent fractions and write fractions in their simplest form.

Lesson-2.1.9- Compare and order fractions and/or including statements using inequality signs: >, <, , 

Lesson-2.1.10- Recognise and convert recurring and terminating decimals to fractions.

Lesson-2.1.11- Add and subtract fractions with different denominators. Multiply integers and/or fractions by a fraction.

Lesson-2.1.12- Write the reciprocal of an integer or a fraction.

Lesson-2.1.13- Divide integers or fractions by a fraction. Convert mixed fractions to improper fractions and vice versa.

Lesson-2.1.14- Calculate fractions of quantities. Solve problems in context, involving decimals and fractions.

Chapter-3. Percentages (number)

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Lesson-3.1.1- Find equivalent fractions, decimals and percentages, including mixed numbers.

Lesson-3.1.2- Write a number as a fraction and/or as a percentage. A student got 13 questions out of 15 correct on a test. What fraction of the questions did he get correct? What percentage of the questions did he get correct?

Lesson-3.1.3- Calculate percentages of amounts. What is 13% of $65?

Lesson-3.1.4- Compare and order decimals, fractions and percentages, include writing statements using inequality signs: >, <, , 

Lesson-3.1.5- Use the equivalence of fractions, decimals and percentages to solve problems by comparing proportions.

Lesson-3.1.6- Write a quantity as a percentage where the quantities are measured in different units.

Lesson-3.1.7- Calculate percentage increase and decrease.

Lesson-3.1.8- Calculate percentage change. The price of a car goes up from $15 000 to $18 000 What was the percentage increase in the price of the car?

Lesson-3.1.9- Use reverse percentages to calculate the original amount. The cost of a pair of gloves went up by 15% The gloves now cost $37 How much did they cost before they went up?

Lesson-3.1.10- Calculate simple interest. I invested $200 in a bank account The account gives me 4% simple interest per annum If I leave the money alone in the account for 5 years, how much interest will I earn?

Lesson-3.1.11- Calculate compound interest. A woman invests £7 000 for 5 years at 2% per annum compound interest. Calculate the value of the investment at the end of 5 years.

Lesson-3.1.12- Solve problems in context, involving percentage increase, decrease and change.

Lesson-3.1.13- Use estimates to check calculations. Use priority of operations for calculations involving the four operations with integers, fractions and decimals, including powers, roots and brackets.

Lesson-3.1.14- Solve problems in context, involving the four operations with integers, fractions, decimals, powers, roots and brackets. Add brackets to make this calculation correct: 9 + 2 × 6 − 3 = 15

Chapter-4. Ratio and proportion (number)

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Lesson-4.1.1- Write and interpret ratios written in notation. A class contains 15 boys and 12 girls. What is the ratio of boys to girls?

Lesson-4.1.2- Simplify and use ratios, including integers, decimals and fractions. Write 13:65 in its simplest form

Lesson-4.1.3- Write and compare ratios in unitary form (1:n or n:1). Write 16:30 in the form 1:n.

Lesson-4.1.4- Divide a quantity into two or three parts. Divide $160 in the ratio 4:3:1 Divide $160 in the ratio 4:1

Lesson-4.1.5- Solve word problems that involve dividing a quantity into two or three parts.

Lesson-4.1.6- Solve word problems using ratios to find missing quantities.

Lesson-4.1.7- Use fractions to describe and compare proportions.

Lesson-4.1.8- Use percentages to describe and compare proportions.

Lesson-4.1.9- Understand and use the relationship between ratio and proportion.

Lesson-4.1.10- Solve simple problems involving direct proportion in context. 8 pencils cost $1.36 How much would 13 pencils cost?

Lesson-4.1.11- Calculate values where quantities vary in direct proportion. When x = 16, y= 4 y is directly proportional to x Find the value of x when y = 5.

Lesson-4.1.12- Solve word problems using ratio and/or proportion. One man is 1.8 m tall and his foot is 28 cm long. Another man is 1.65 m tall and his foot is 25 cm long. Is foot length of men in direct proportion to their height?

Chapter-5. Standard form (number)

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Lesson-5.1.1- Convert large and small numbers into standard form and vice versa. Write these numbers in standard form: 2 900 000 0.000 000 41 Write these as ordinary numbers: 5 × 10^4, 4.6 × 10^−3

Lesson-5.1.2- Order numbers written in standard form and/or include writing statements using inequality signs: >, <, , 

Lesson-5.1.3- Add, subtract, multiply and divide numbers in standard form. Enter and read standard form numbers on a calculator.

Lesson-5.1.4- Solve problems involving standard form.

Chapter-6. Expressions and Formulae (Algebra)

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Lesson-6.1.1- Write expressions using correct algebraic notation. Simplify algebraic expressions by collecting like terms. 6a + 7 + 3a^2 – 4a – 3 + 5a^2

Lesson-6.1.2- Simplify algebraic expressions involving multiplication and division.

Lesson-6.1.3- Expand brackets and simplify expressions involving a bracket and/or powers.

Lesson-6.1.4- Factories expressions. 2x − 8; 8st – t^2; 4a^2 + 12a; 24xy^2 – 6y^4

Lesson-6.1.5- Substitute values into expressions and formulae and/or including powers, roots and brackets. If a = 3 and b = 4, evaluate: a² +√9b – (ab + 3)

Lesson-6.1.6- Solve problems involving formulae and expressions. A power company uses the formula: C = 0.25h + 0.15r + 30 to calculate the total cost, C, of their customers’ bills where h = number of units used at the higher rate r = number of units used at the regular rate If a customer uses 175 units at higher rate and 250 units at the regular rate, what will be the total costs of their bill?

Lesson-6.1.7- Simplify algebraic expressions using the index laws. t × t × t= t³

Lesson-6.1.8- Write expressions and formulae involving one or more variables. A hotel charges $60 per night to rent a room, plus a surcharge of $10 per person per stay. Write a formula to show the relationship between the cost, C, the number of nights,

Lesson-6.1.9- Substitute values into a formula and find the value of a variable that is not the subject. F=ma If F= 8.4 and a = 70, find m

Lesson-6.1.10- Change the subject of a formula, involving the four operations and/or powers and roots.

Lesson-6.1.11- Use index notation and index laws with positive, negative and zero powers.

Lesson-6.1.12- Expand the product of two linear expressions. (x + 3)(x − 4)

Lesson-6.1.13- Factorize quadratic expressions of the form x² + bx + c. Factorize x² − 7x − 30

Lesson-6.1.14- Factorize the difference of two squares. x² – 36 = (x−6)(x +6)

Lesson-6.1.15- Solve problems in context, involving formulae and expressions. The perimeter, P, of a rectangle can be found using the formula: P = 2l + 2w Where l = length of the rectangle and w = width of the rectangle The perimeter of a rectangle is 156 cm The length of the rectangle is twice as long as its width. What is the length of the rectangle?

Chapter-7. Equations (Algebra)

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Lesson-7.1.1- Find pairs of numbers that satisfy a linear equation with two unknowns. x + y = 7 Write down 2 possible values for x and y.

Lesson-7.1.2- Solve linear equations including unknowns on both sides. Solve 4x − 3 = 2x + 7, 5y + 4 = 7y + 5

Lesson-7.1.3- Solve linear equations, including unknowns on both sides and/or include brackets or fractions.

Lesson-7.1.4- Solve problems by writing and solving equations. A man said ‘My brother is 8 years’ older than me, my sister is 5 years’ younger than me, and all three of our ages add up to 129’. How old is the man’s brother?

Lesson-7.1.5- Solve equations involving an x² term and a number. Solve x² – 25 = 96

Lesson-7.1.6- Solve quadratic equations of the form x² + bx + c = 0, by factorizing. Solve x² − 7x – 30 = 0

Lesson-7.1.7- Write equations to represent direct proportion. When x = 16, y =4 y is directly proportional to x Write a proportionality equation involving x and y.

Lesson-7.1.8- Solve a pair of simultaneous linear equations. Solve the simultaneous equations: 2x + 3y = −4, 4x − y = 6

Lesson-7.1.9- Solve problems involving simultaneous linear equations or direct proportion. 4 burgers and 3 cakes costs $14.80 5 burgers and 2 cakes costs $15.70 How much would 6 burgers and 4 cakes cost?

Chapter-8. Sequences (Algebra)

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Lesson-8.1.1- Find the term-to-term rule of a sequence. 5, 9, 13, 17, 21, …

Lesson-8.1.2- Find terms of a sequence using a given term-to-term rule. A sequence starts with 8 and has a term-to-term rule of −3 What are the first 5 terms of the sequence? What is the 10th term of the sequence?

Lesson-8.1.3- Recognize different types of sequence. 2, 4, 6, 8, 10, … 2, 4, 8, 16, 32, … 1, 4, 9, 16, 25, … 1, 3, 6, 10, 15, … 1, 1, 2, 3, 5, 8, … 1, 8, 27, 64, 125, …

Lesson-8.1.4- Generate terms of a sequence using a position-to-term rule in context. The position-to-term rule of a sequence is: ‘Double the position number then subtract 1’ Find the first 5 terms of this sequence.

Lesson-8.1.5- Use the nth term to generate a linear or quadratic sequence. Find the first 5 terms of the sequences: 5n + 7 4n²

Lesson-8.1.6- Find the nth term of an arithmetic sequence. Find the nth term of the sequence: 2, 9, 16, 23, 30, …

Lesson-8.1.7- Recognize and continue more complex geometric sequences. Find the next term in the sequence: 1, 2.5, 5, 8.5, 13, …

Lesson-8.1.8- Solve problems involving sequences. Ali writes an arithmetic sequence that starts with: 4, 7, 10, 13, … Bhavin writes an arithmetic sequence that starts with: 15, 23, 31, 39, … Ali says that 111 is in both of their sequences. Is he correct? You must show your working.

Chapter-9. Graphs (Algebra)

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Lesson-9.1.1- Recognise, name and plot graphs parallel to the axes and the graphs of y=x and y=−x

Lesson-9.1.2- Plot linear graphs using a table of values. Plot the graph y =2x + 3

Lesson-9.1.3- Find the midpoint of a line segment, given two coordinates. Find the midpoint of a line with ends at (−2, 3) and (6, 10).

Lesson-9.1.4- Solve problems involving coordinates and straight lines. Given three coordinates A, B, C, write down the coordinates of D such that ABCD is a parallelogram.

Lesson-9.1.5- Recognize, draw and interpret graphs showing constant rates of change. A tap runs at a constant rate. After 8 minutes, the tap has run 75 litres of water. Plot this information on a graph. Use your graph to estimate how long it took to run 40 liters of water.

Lesson-9.1.6- Draw, use and/or interpret distance-time graphs. Vladimir leaves home at 08 00 He travels for 30 minutes at a constant speed until he reaches a shop, 3 km away. He stays at the shop for 45 minutes, then returns home arriving at 09 35 Plot this information on a distancetime graph. Which part of his journey was the fastest? Explain how you know this from your graph.

Lesson-9.1.7- Solve problems by drawing and interpret linear conversion graphs. Currency conversion graphs.

Lesson-9.1.8- Solve problems by drawing and interpreting real-life non-linear graphs. Read values and describe trends from a real-life graph.

Lesson-9.1.9- Solve problems in context by drawing and interpreting real-life linear and quadratic graphs. Use the distance-time graph to work out Vladimir’s speed on his journey home.

Lesson-9.1.10- Calculate the gradient and y-intercept of a linear graph of the form y = mx +c

Lesson-9.1.11- Find the equation of a straight line graph in the form y = mx +c

Lesson-9.1.12- Recognize and draw and/or sketch graphs with equations of the form y = mx +c and ax + by = c. Draw the graphs: y =3x – 2 5x + 6y=30

Lesson-9.1.13- Compare linear graphs using gradients and y-intercept. Write down the equation of a line that is parallel to y=3x + 2

Lesson-9.1.14- Plot graphs of quadratic functions using a table. Plot the graph y =2x² − 3

Lesson-9.1.15- Solve a pair of linear simultaneous equations by drawing graphs. Plot the graphs: y =3x + 2 y =5x + 6 and hence find a solution to the simultaneous equations: y =3x + 2 y =5x + 6

Chapter-10. Inequalities (Algebra)

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Lesson-10.1.1- Understand and use the symbols: , ≤, ≥ | State the integers that satisfy −2 < x ≤ 5

Lesson-10.1.2- Represent solutions to linear inequalities on a number line. Solve linear inequalities with one unknown.

Chapter-11. Measure (Geometry)

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Lesson-11.1.1- Convert between metric units of measure up to 3 decimal places. 1.234 km = 1 234 m 14 g = 0.014 kg 330 ml = 0.33 l

Lesson-11.1.2- Solve problems involving measures and conversions in context. John is 1.6 m tall. His sister is 143 cm tall. How much taller is John than his sister?

Lesson-11.1.3- Find the perimeter and area of polygons and compound shapes. Compound shapes made from rectangles, triangles, circles, semi-circles and other polygons (regular and irregular).

Lesson-11.1.4- Find area of parallelograms and trapeziums. Find area of parallelogram, given base and height (and possibly other lengths) or area of trapeziums given length of parallel sides and height (and possibly other lengths)

Lesson-11.1.5- Calculate the volume of cubes and cuboids and 3-D solids made from cuboids. Sketch nets of 3-D solids. Cube, cuboid, regular tetrahedron, square-based pyramid, triangular prism.

Lesson-11.1.6- Draw and interpret 2-D representations of 3-D solids. Recognize nets of shapes above.

Lesson-11.1.7- Calculate the surface area of cubes and cuboids.

Lesson-11.1.8- Calculate the volume and surface area of a triangular prism and a cylinder. Radius and/or diameter, plus length of the prism.

Lesson-11.1.9- Solve problems involving perimeter, area, surface area and volume. The surface area of a cube is 292 cm² What is the volume of the cube?

Lesson-11.1.10 -Convert between metric units of measure of area and volume.

Lesson-11.1.11- Use and interpret scales on maps and diagrams. Map scale is 1:50 000 How far is it from A to B in real life? (given A and B on a map).

Lesson-11.1.12- Describe, use and interpret three-figure bearings. What is the bearing of A from B? (given A and B on a map).

Lesson-11.1.13-Solve problems involving three figure bearings and/or scale drawings. Bearing of C from D is 040° Bearing of C from E is 260° Mark C on the map (given D and E).

Lesson-11.1.14- Identify and draw the diameter and radius of a circle; identify and draw parts of a circle. Centre, radius, diameter, circumference, chord, arc, sector, segment.

Lesson-11.1.15- Calculate the area of a circle. Given radius and/or diameter

Lesson-11.1.16- Solve problems involving circles and prisms. A bicycle has tyres with a diameter of 45 cm How far has the bicycle travelled when the tires have done 10 full turns?

Lesson-11.1.17- Solve problems using compound measures and rates. A piece of aluminum has mass 40.5 g and volume 15 cm3 What is its density?

Chapter-12. Angles (Geometry)

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Lesson-12.1.1- Describe and name acute, obtuse and reflex angles. Measure, draw and estimate angles.

Lesson-12.1.2- Know and use the sum of angles at a point, on a straight line, in a triangle and quadrilateral, and recognize vertically opposite angles.

Lesson-12.1.3- Describe, identify and use properties of quadrilaterals, including their angle, sides, diagonals and symmetry.

Lesson-12.1.4- Calculate the sum of the interior and exterior angles of an irregular or regular polygon. What is the total number of degrees of the internal angles of an irregular/regular decagon?

Lesson-12.1.5- Calculate the interior and exterior angles of an irregular or regular polygon. Calculate the missing angle in any polygon, given all other angles but not angle sum.

Lesson-12.1.6- Know and use properties of right-angled, isosceles, scalene and equilateral triangles.

Lesson-12.1.7- Solve geometric problems using side and angle properties of quadrilaterals and other polygons. Calculate the size of the angle marked x Give reasons for your answer.

Lesson-12.1.8- Identify alternate angles and know that they are equal.

Lesson-12.1.9- Identify corresponding angles and know that they are equal.

Lesson-12.1.10- Solve problems using angle properties of intersecting lines, parallel lines and polygons, giving reasons. Alternate, corresponding, vertically opposite angles.

Lesson-12.1.11- Use a ruler and protractor to draw triangles accurately, including simple scale drawings. Given 2 sides and 1 angle, or 1 side and 2 angles.

Chapter-13. Symmetry (Geometry)

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Lesson- 13.1.1- Recognize and describe order of rotational symmetry. Complete this diagram so that it has rotational symmetry order 4.

Lesson-13.1.2- Identify and describe all the symmetries of common 2-D shapes (reflection and rotational). Equilateral triangle, isosceles triangle, square, rectangle, parallelogram, rhombus, trapezium, kite, pentagon, hexagon, octagon, nonagon, decagon.

Lesson-13.1.3- Identify reflection symmetry in common 3-D solids

Chapter-14. Transformation (Geometry)

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Lesson-14.1.1- Translate 2-D shapes given a column vector.

Lesson-14.1.2- Use column vectors to describe translations. Describe the transformation that maps Shape A onto Shape B.

Lesson-14.1.3- Recognize and draw reflections in a mirror line. Reflect the shape given in the mirror line y=x

Lesson-14.1.4- Reflect a shape on a coordinate grid; describe a reflection on a coordinate grid. Reflect in the lines y =a, x= a, y =±x

Lesson-14.1.5- Describe and perform rotations about a Centre on a coordinate grid. Fully describe the transformation that maps Shape A onto Shape B (Centre, direction and amount of rotation).

Lesson-14.1.6- Enlarge shapes using positive, negative and fractional scale factors, about a Centre of enlargement.

Lesson-14.1.7- Describe the scale factor and the Centre of enlargement given an object and its image.

Lesson-14.1.8- Transform 2-D shapes by combinations of rotations, reflections and translations.

Chapter-15. Constructions (Geometry)

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Lesson-15.1.1- Construct perpendicular bisectors and angle bisectors. Use a pair of compasses, pencil and ruler.

Lesson-15.1.2- Construct accurate circles, triangles and quadrilaterals using compasses and a ruler.

Lesson-15.1.3- Identify congruent shapes. Use congruent shapes to solve problems about triangles and quadrilaterals. SSS and ASA triangles.

Lesson-15.1.4- Identify two shapes that are similar. Are Shape A and Shape B similar? Explain how you know.

Lesson-15.1.5- Solve problems involving similar triangles. Find the length of the side marked x given another side on this triangle, and the two corresponding sides on the similar triangle.

Chapter-16. Pythagoras’ theorem and trigonometry (Geometry)

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Lesson-16.1.1- Identify and name the hypotenuse, adjacent and opposite of a right-angled triangle.

Lesson-16.1.2- Know and use Pythagoras’ theorem in 2-D. a² + b² = c² Find a missing side given the lengths of the other 2 sides

Lesson-16.1.3- Use trigonometry to calculate lengths and angles in a right-angled triangle. Find a missing side given the length of another side and an angle. Find a missing angle given the length of two sides.

Lesson-16.1.4- Solve problems in context involving right-angled triangles. A ladder reaches 5 m up a wall The bottom of the ladder is 2 m away from the wall. How long is the ladder?

Chapter-17. Data (Statistics)

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Lesson-17.1.1- Find the mode and mean of a set of data presented in a list, table or bar chart.

Lesson-17.1.2-Find the median and range of a set of data presented in a list, table or bar chart.

Lesson- 17.1.3- Calculate the mean from a frequency table using grouped and ungrouped data.

Lesson-17.1.4- Calculate an estimate of the range and mean from grouped data. Find the modal class of grouped data.

Lesson-17.1.5- Compare two sets of data using their ranges, averages or the shape of the graph. Mohamed’s mean race time is 54 seconds, and the range of his race times is 10 seconds. Umar’s mean race time is 56, and the range of his race times is 4 seconds. Who is the better runner? You must explain your answer

Lesson-17.1.6- Identify and suggest reasons for outliers in data. Which value is an outlier? Suggest a reason for this.

Lesson-17.1.7- Choose the most appropriate average to use. Should you use mean, median or mode to compare the average size of shoes sold in 2 shoe shops? Explain your answer.

Lesson-17.1.8- Solve problems involving mean, median, mode, and range involving comparing data. Five numbers have a mean of 8 Four of the numbers are: 9, 7, 9 and 11 What is the fifth number?

Lesson-17.1.9- Design and use data-collection sheets and tables. A student wants to record the gender and hair colour of everyone in his class. Design a data-collection sheet that he could use to record their responses.

Lesson-17.1.10- Know and use correct set language and notation. Choose a suitable sample size and what data to collect.

Chapter-18. Charts and diagrams (Statistics)

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Lesson-18.1.1- Represent, read and interpret tables for grouped data. Tally charts, frequency tables, bar charts, bar-line charts and pie charts.

Lesson-18.1.2- Interpret simple tables and bar charts for grouped data. Find most/least popular and total frequency.

Lesson-18.1.3- Identify discrete and continuous data. Shoe sizes are discrete Temperatures are continuous.

Lesson-18.1.4- Represent data in grouped tally charts or frequency tables, draw bar charts for grouped data.

Lesson-18.1.5- Read and interpret information from bar charts, bar-line charts, dual and compound bar charts and line graphs.

Lesson-18.1.6- Solve problems by interpreting or drawing graphs, charts and tables. Compare two or more distributions from different charts.

Lesson-18.1.7- Represent and interpret two-way tables. Calculate missing values Complete tables.

Lesson-18.1.8- Draw and interpret pie charts. Calculate angles and construct accurate pie charts with protractors.

Lesson-18.1.9- Draw and interpret stem and leaf diagrams. Find the mode, median and range from a stem and leaf diagram.

Lesson-18.1.10- Draw and interpret scatter graphs and describe correlation. Recognize positive, negative and no correlation.

Lesson-18.1.11- Draw and use a line of best fit on a scatter graph to predict data values. Draw a line of best fit. Use your line to estimate one piece of data, given another one.

Lesson-18.1.12- Draw and interpret frequency polygons.

Lesson-18.1.13- Solve problems by drawing or interpreting graphs, charts and tables. Compare distributions from scatter diagrams or frequency polygons.

Chapter-19. Probability (statistics)

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Lesson-19.1.1- List all possible outcomes of an event and recognize equally likely outcomes. What are the possible outcomes when you roll a fair, 6-sided die?

Lesson-19.1.2- Calculate probabilities of single and mutually exclusive events. What is the probability of rolling a 3 on a fair, 6-sided die?

Lesson-19.1.3- Calculate the probability of an event not happening. What is the probability of NOT rolling a 3 on a fair, 6-sided die?

Lesson-19.1.4- Estimate probability based on experimental or collected data. Given data on car colours passing the school gate, what is the probability that the next car to pass the school gate is red?

Lesson-19.1.5- Use experimental probability to model and predict future outcomes. If 200 cars pass the school gates, how many do you expect to be red?

Lesson-19.1.6- Present the possible outcomes of single events, or two successive events. (Including in lists, tables, Venn diagrams and sample space diagrams).

Lesson-19.1.7- Calculate probabilities from possible outcomes presented in different ways. Work with tables, two-way tables, Venn diagrams and sample space diagrams.

Lesson-19.1.8- Understand when events are mutually exclusive. Are rolling a 3, and rolling an even number, mutually exclusive? You must explain your answer.

Lesson-19.1.9- Compare experimental and theoretical probabilities. Is this a fair die? (given experimental data).

Lesson-19.1.10- Calculate the probability of two independent events. Use P(A and B) = P(A) × P(B)

Lesson-19.1.11- Use tree diagrams to calculate the probability of independent events.

Lesson-19.1.12- Solve problems involving probability. What is the probability that 2 identical socks picked at random from a pile are a pair?

Grade 7 Edexcel Math Achieve Math Excellence

About Lesson

Write 180 as a product of its prime
factors