This is a block of 3 lessons which introduces students to differentiation, it has 4 indices and surds questions, then has questions on y=mx+c so you can talk about gradients, then gets the students to re-arrange linear equations to find the gradients of them.
Lesson 1: You then draw graphs and tangents and calculate the gradient of the curve via triangles. The gradient of a tangent as a limit is explained by drawing 3 different chords and calculating what happens as the chord get closer to the point on the curve.
Lesson 2: After this you introduce differentiation, with a single term and then a polynomial, there are questions with solutions and a sheet for HW.
Lesson 3: You then introduce the idea of a gradient=0 and what it would look like, the stationery points are shown and the second derivative is introduced, and calculated to show the nature of them.
Lesson 1: You then draw graphs and tangents and calculate the gradient of the curve via triangles. The gradient of a tangent as a limit is explained by drawing 3 different chords and calculating what happens as the chord get closer to the point on the curve.
Lesson 2: After this you introduce differentiation, with a single term and then a polynomial, there are questions with solutions and a sheet for HW.
Lesson 3: You then introduce the idea of a gradient=0 and what it would look like, the stationery points are shown and the second derivative is introduced, and calculated to show the nature of them.
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