Year 7 Term 1 Intermediate

Transcription

1 Year 7 Term 1 Intermediate

2 Overview: Term 1 Learning Objectives Topic: Integers, Powers and Roots Big Questions: - How do you know when you have found all the factors of a number? - What would the HCF be of two prime numbers? - show that 2x2x2x2 can be written as 2 4? - Calculate factors - Calculate multiples - Understand and identify prime numbers to Use index notation for positive integer indices. (introduction) - Find the reciprocal of a number. - Recognise square and cube numbers - Calculate squares and roots. - Express numbers as products of their prime factors. - Calculate HCF and LCM of pairs of numbers. - Know that anything to the power of 0 is 1. - Know and use the index laws for multiplication and division of positive integer indices. Topic: Lines, Angles and Shapes Big Questions: - show that a triangle with side lengths 4cm, 4cm and 6cm is isosceles - Can parallel lines be curved? - show that exterior angles sum up to Can you have an obtuse/reflex angle in a triangle? -Simple geometric definitions (shape properties). - Name properties of solids. - Know angles on a straight line and angles in a triangle add up to Know angles around a point add up to Understand the terms parallel and perpendicular - Use angle facts to solve problems involving triangles. - Use angle facts to solve quadrilateral problems. -Circle definitions. - Solve problems involving corresponding, alternate and supplementary angles. Topic: Simplifying and substitution Big questions: - Can you simplify: 3a + 3b? 3a x 3b? -What s the same/different - 6y+3y and 3(2y+y) and 9y -What is p? p - Simplifying expression with addition & subtraction. - Simplifying expressions with multiplication. - Simplifying expressions with division. - Use function machines - Substitute numbers into an expression. - Substitute numbers into a formula and more complicated formula. - Substitute numbers into more complicated formula. - Expand single brackets.

3 INTEGERS, POWERS & ROOTS KNOWLEDGE ORGANISER Remember a² + a² = 2a² BUT a² x a² =

4 HWK 1 - Term 1: I year 7 - Integers, Powers and Roots 1) Two factors of 18 add up to 11. What are they? 2) Two factors of 24 add up to 11. What are they? 3) Write down the next multiple of 6: ) Give the first 3 multiples of 12 10) Write the reciprocal of ⅔ 11) Write down the square of 11 12) Write down the square of 12 13) Write the cube of 3 5) Two prime numbers add to make 20. What are they? 6) Two prime numbers add to make 18. What are they? 14) Write down the cube of 4 15) Write down the square root of 64 7) Work out 42 16) Write down the square root of 36 8) Work out 32 17) Two prime numbers add to make 20. What are they? 9) Write the reciprocal of 5 18) Two prime numbers add to make 18. What are they?

5 ANGLES, LINES AND SHAPES KNOWLEDGE ORGANISER

6 HWK 2 - Term 1: Yr7 I - Lines, angles and shapes 1) What is the name given to the point where two edges meets 2) What is the name given to the line connecting two vertices 3) What is the size of the angle marked x? 120 4) What is the size of the angle marked x? 5) Find the missing angle 6) Find the size of angle x x x x x 150 7) What angle is formed between two perpendic- 10) Two of the angles in a triangle are 35o and 55o. What is the size of the missing angle? 11) Three of the angles of a quadrilateral are 1200, 480 and 920. What is the size of the 4th angle? 12) Three of the angles of a quadrilateral are 100o, 68o and 32o. What is the size of the 4th angle? 13) What name is given to the line that goes from the centre of the circle to the edge of the circle? 14) What A name is B given to the line AB below 15) The angles of a pentagon add up to If all the angles are equal, what is the size of each one? 16) The interior angle of a regular polygon is 120 o. What is the exterior angle? 8) Give a definition of parallel lines 9) Find the size of the missing angle ) These angles are equal, what are they called? 18) These angles are equal, what are they called? a a a a

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8 HWK 3 - Term 1: Year seven I - Simplifying and substituting 1) simplify: 5a x 5a 10) Find the value of 2ab a = 3 and b = 1 2) simplify: 4a x 2a 11) Find the value of 2ab a = 6 and b = 1 3) simplify: 6b 3 12) Find the value of 3ab a = 7 and b = 3 4) simplify: 4b 2 13) Find the value of 3ab a = 3 and b = 7 5) simplify: 9b 3 14) Find the value of 3ab a = 2 and b = 7 6) simplify: 6b 6 3b 2 15) S = u 2 + v 2 Find S when, u = -4, v = -2 7) simplify: 6b 6 3b 2 16) Find D when D= ut + kt 2 u = 10, t = 1.4, and k = -3 8) simplify: 10b 6 2b 4 17) Expand: x(x - 1) 9) Find the value of 2ab a = 5 and b = 3 18) Expand: 3(2x - 1)