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

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-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-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-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?

Grade 7 Edexcel Math Achieve Math Excellence

About Lesson

What is the HCF of 20 and 24?
What is the LCM of 20 and 24?
Burgers come in packs of 20
Buns come in packs of 12
What is the smallest number of
burgers and buns you can buy so
that every burger has a bun?

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