2 Adding vectors Add vectors J3 add vectors diagrammatically Adding vectors is used to 10.2 – Multiply a vector by a scalar and perform the algebraic find resultant forces in Ex 10.2A Students add and subtract vectors in operations of vector addition and Chapter 16 Forces both i j and column notation. They are multiplication by scalars introduced to the three types of vectors (equal, opposite and parallel) J3 add vectors diagrammatically – and learn that parallel vectors contain and perform the algebraic a common factor. operations of vector addition and multiplication by scalars Apply the triangle law to add 3 Vector geometry J3 add vectors diagrammatically 10.3 – vectors and perform the algebraic Ex 10.3A Students add vectors using the triangle the ratio and midpoint operations of vector addition and Ex 10.3B law and are introduced to the theorems multiplication by scalars and parallelogram law which shows that that understand their geometric the order in which vectors are added is interpretations not important. Students go on to be J3 add vectors diagrammatically introduced to the ratio theorem and the – and perform the algebraic midpoint rule (a special case of the operations of vector addition and midpoint theorem) multiplication by scalars and understand their geometric interpretations 4 Position vectors Find the position vector of a point J4 understand and use position 10.4 – Find the relative displacement vectors; calculate the distance Ex 10.4A Students learn that the position vector of between two position vectors between two points represented a point is its position relative to the origin. by position vectors They use this to calculate the relative displacement between two position J4 understand and use position – vectors by subtracting the position vectors; calculate the distance vectors. Students calculate the distance between two points represented between the two points by finding the by position vectors magnitude of the relative displacement using Pythagoras’ theorem. 5 Chapter review lesson Identify areas of strength and See below development within the content of Recap key points of chapter. Students to the chapter complete the exam-style questions, extension questions, or online test
2 Adding vectors Students add and subtract vectors in both i j and column notation. They are introduced to the three types of vectors (equal, opposite and parallel) and learn that parallel vectors contain a common factor. Add vectors Multiply a vector by a scalar J3 – add vectors diagrammatically and perform the algebraic operations of vector addition and multiplication by scalars J3 – add vectors diagrammatically and perform the algebraic operations of vector addition and multiplication by scalars Adding vectors is used to find resultant forces in Chapter 16 Forces 10.2 Ex 10.2A 3 Vector geometry Students add vectors using the triangle law and are introduced to the parallelogram law which shows that that the order in which vectors are added is not important. Students go on to be introduced to the ratio theorem and the midpoint rule (a special case of the midpoint theorem) Apply the triangle law to add vectors the ratio and midpoint theorems J3 – add vectors diagrammatically and perform the algebraic operations of vector addition and multiplication by scalars and understand their geometric interpretations J3 – add vectors diagrammatically and perform the algebraic operations of vector addition and multiplication by scalars and understand their geometric interpretations 10.3 Ex 10.3A Ex 10.3B 4 Position vectors Students learn that the position vector of a point is its position relative to the origin. They use this to calculate the relative displacement between two position vectors by subtracting the position vectors. Students calculate the distance between the two points by finding the magnitude of the relative displacement using Pythagoras’ theorem. Find the position vector of a point Find the relative displacement between two position vectors J4 – understand and use position vectors; calculate the distance between two points represented by position vectors J4 – understand and use position vectors; calculate the distance between two points represented by position vectors 10.4 Ex 10.4A 5 Chapter review lesson Recap key points of chapter. Students to complete the exam-style questions, extension questions, or online test Identify areas of strength and development within the content of the chapter See below
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