Y13 A-level Mathematics 33 Vectors 0.5 weeks Teaching objectives a Use vectors in two dimensions and three dimensions d Understand and use position vectors; calculate the distance b Calculate the magnitude and direction of a vector and convert between two points represented by position vectors between component form and magnitude/direction form. e Use vectors to solve problems in pure mathematics and in context, c Add vectors diagrammatically and perform the algebraic including forces and kinematics. operations of vector addition and multiplication by scalars, and understand their geometrical interpretations. Resources for advance preparation: Starter Main teaching Notes Consolidation/Plenary Including key questions, key teaching points, models and Including Support and Extension Including key questions and resources homework 1 This should be a review of AS Topic test (integral) & (to develop fluency with vectors and working in 3d) content but now in 3 2 Quick review dimensions. May only need to questions Visualising 3d vectors be one lesson but combined about 2d Key Question with other resources from forces vectors & kinematics. (magnitude, direction, Key Question: Students need to become addition, familiar with both column subtraction vectors and i,j,k notation, where etc) Link to Mechanics (and parametrics) i,j, and k are unit vectors in mutually perpendicular directions in a right-handed (from AQA teaching guidance) coordinate system. (AQA teaching guidance) Take care with notation. Support: Use the resources in 2D. Extension:
Y13 A-level Mathematics 33 Vectors 0.5 weeks Teaching objectives a Use vectors in two dimensions and three dimensions b Calculate the magnitude and direction of a vector and convert between component form and magnitude/direction form. c Add vectors diagrammatically and perform the algebraic operations of vector addition and multiplication by scalars, and understand their geometrical interpretations. d Understand and use position vectors; calculate the distance between two points represented by position vectors e Use vectors to solve problems in pure mathematics and in context, including forces and kinematics. Resources for advance preparation: Starter Main teaching Including key questions, key teaching points, models and resources Notes Including Support and Extension Consolidation/Plenary Including key questions and homework 1 & 2 Quick review questions about 2d vectors (magnitude, direction, addition, subtraction etc) (to develop fluency with vectors and working in 3d) Visualising 3d vectors Key Question Key Question: Link to Mechanics (and parametrics) (from AQA teaching guidance) This should be a review of AS content but now in 3 dimensions. May only need to be one lesson but combined with other resources from forces & kinematics. Students need to become familiar with both column vectors and i,j,k notation, where i,j, and k are unit vectors in mutually perpendicular directions in a right-handed coordinate system. (AQA teaching guidance) Take care with notation. Support: Use the resources in 2D. Extension: Topic test (integral)