Y13 A level Mathematics 39 Kinematics 1 week Teaching objectives a Understand the language of kinematics appropriate to motion in 2 c Be able to find the cartesian equation of the path of a particle dimensions. Know the difference between, displacement, distance when the components of its position vector are given in terms of from and distance travelled; velocity and speed, and between time. acceleration and magnitude of acceleration. d Be able to use vectors to solve problems in kinematics. b Be able to extend the scope of techniques from motion in 1 e Use trigonometric functions to solve problems in context, including dimension to that in 2 dimensions by using vectors. problems involving vectors, kinematics and forces. Resources for advance preparation: Underground maths: Starter Main teaching Notes Consolidation/Plenary Including key questions, key teaching points, models and Including Support and Including key questions and resources Extension homework 1 Recap derivation of Check understanding of difference between Ask students to show how Dr Frost A level 2017: suvat equations from displacement, distance from and distance travelled; suvat equations can be Edexcel Y2 text book Chapter 8 velocity/time graphs. velocity and speed, and between acceleration and derived by integrating from a magnitude of acceleration. Relate to vector forms constant acceleration ‘Madasmaths’ mechanics stressing importance of position vectors and write vector booklet: forms of suvat equations. This Geogebra file relates to the Jan 2007 OCR M1 Question 6 and shows the path of a particle as time changes. 2 Introduce projectiles and the idea of representing Common Errors: Not horizontal and vertical motion in terms of time. Consider remembering that when the path of a projectile and annotate to show features of constants of integration are the horizontal or vertical motion at start; max height; vectors they will have two landing. components. Be explicit about the difference between what the Combining components when direction of the displacement vector and the direction of applying calculus techniques the velocity vector represent. in vectors. Use of displacement instead of 3 Re-cap Explain that can differentiate and integrate components velocity to determine direction differentiation and of a vector to move between displacement; velocity and
Y13 A level Mathematics 39 Kinematics 1 week Teaching objectives a Understand the language of kinematics appropriate to motion in 2 dimensions. Know the difference between, displacement, distance from and distance travelled; velocity and speed, and between acceleration and magnitude of acceleration. b Be able to extend the scope of techniques from motion in 1 dimension to that in 2 dimensions by using vectors. c Be able to find the cartesian equation of the path of a particle when the components of its position vector are given in terms of time. d Be able to use vectors to solve problems in kinematics. e Use trigonometric functions to solve problems in context, including problems involving vectors, kinematics and forces. Resources for advance preparation: Underground maths: 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 Recap derivation of suvat equations from velocity/time graphs. Check understanding of difference between displacement, distance from and distance travelled; velocity and speed, and between acceleration and magnitude of acceleration. Relate to vector forms stressing importance of position vectors and write vector forms of suvat equations. This Geogebra file relates to the Jan 2007 OCR M1 Question 6 and shows the path of a particle as time changes. Ask students to show how suvat equations can be derived by integrating from a constant acceleration Dr Frost A level 2017: Edexcel Y2 text book Chapter 8 ‘Madasmaths’ mechanics booklet: 2 Introduce projectiles and the idea of representing horizontal and vertical motion in terms of time. Consider the path of a projectile and annotate to show features of the horizontal or vertical motion at start; max height; landing. Be explicit about the difference between what the direction of the displacement vector and the direction of the velocity vector represent. Common Errors: Not remembering that when constants of integration are vectors they will have two components. Combining components when applying calculus techniques in vectors. Use of displacement instead of velocity to determine direction 3 Re-cap differentiation and Explain that can differentiate and integrate components of a vector to move between displacement; velocity and
39_kinematics_a2_bom_sow.docx