Rates of Change L.O. All pupils can recall information on real life graphs to both draw and visualise them All pupils can apply their knowledge of on a.

Slides:

Advertisements

Similar presentations

Motion and Force A. Motion 1. Motion is a change in position

Advertisements

Sec 3.7: Rates of Change in the Natural and Social Sciences

Starter: Complete the table and fill in the missing values Stick it in your books.

Science Starter! Complete the worksheet “Science Starter!” (on teacher’s desk).

Speed vs. Time Graphs.

Objectives Define speed and calculate speed from total time, total distance. Outcomes (5) Calculate speed and acceleration from practical observations.

Position, Velocity, and Acceleration Connecting these three things to our knowledge of calculus.

Interpret The Graph. The graph shows an object which is not moving (at rest). The distance stays the same as time goes by because it is not moving.

Sketching the Derivative

Congruence L.O. All pupils can find congruent figures

Distance vs. Time Graphs

Transformations L.O. All pupils can recall how changes in equations transform graphs of functions All pupils can confidently solve all the homework questions.

Transforming Trigonometric Graphs

Transformations on Trigonometric Graphs

Graphing Motion Walk Around

All pupils can substitute into functions written in function notation

All pupils can sketch a variety of graphs

Differentiation L.O. All pupils are aware of differentials of common functions All pupils can solve basic differentiation questions Some pupils can solve.

Optimisation L.O. All pupils understand how quadratics can model real life situations All pupils recognize how parts of the graph relate to the real life.

Trigonometric Graphs L.O.

Understand velocity time graphs.

Simultaneous Equations

Graphs of Exponential Functions

all pupils can find the area of a triangle using trigonometry

Substitution L.O. All pupils can complete simple substitutions

Roots of Quadratics L.O. All pupils understand what roots of quadratics are graphically and algebraically All pupils are confident with finding the roots.

Quotient Rule L.O. All pupils can solve basic differentiation questions All pupils can solve some problems requiring the Quotient Rule.

All pupils can read off the base trigonometric graphs

Composite Functions L.O.

Chain Rule L.O. All pupils can solve basic differentiation questions

Real or Ridiculous??!!.

Starter Questions Convert the following to minutes :-

All pupils can work through Examination Style Questions

Trigonometry Practice Questions

All pupils know what polynomials are

Product Rule L.O. All pupils can solve basic differentiation questions

Functions L.O. All pupils can describe the different types of functions All pupils can find the domain and range of basic functions Some pupils can find.

Exam Style Questions Practice

Drawing Graphs The parabola x Example y

Practicing Similarity and Congruence

All pupils can use circle theorems to solve a variety of questions

How does substitution help link equations and their graphs?

Algebra Introduction - BIDMAS

All pupils can recall information on real life graphs

Different Types of Functions

Logos L.O. All pupils can recall the different types of transformations All pupils can describe the different types of transformations Some pupils start.

Algebra - Brackets L.O. All pupils understand the importance of brackets Most pupils can use brackets in situations with algebra.

All pupils know what polynomials are

More Linear Equations L.O.

Pythagoras L.O. All pupils can find the area of a triangle

Further Investigating Quadratics

The Quadratic Formula L.O.

Scale Drawings L.O. All pupils understand what a scale does

Composite and Inverse Functions

All pupils can solve equations involving logs

Quadratics L.O. All pupils can recall information about quadratic functions All pupils can answer a variety of questions about quadratic functions.

Factor Trees and Surds L.O.

Function Notation L.O. All pupils can understand function notation

Gradients L.O. All pupils can find the gradient of linear graphs

Other ways of Describing Sequences

All pupils can recall and work with a variety of functions

3.7 Rates of Change In the Natural and Social Sciences

Points of Intersection using Algebra

What can your remember about triangles?

The Quadratic Formula and Factorising

More Functions L.O. All pupils can recall the different types of functions All pupils can find the domain and range of basic functions Some pupils can.

Speed-Time Graphs for Acceleration

Interpret The Graph.

Presentation transcript:

Rates of Change L.O. All pupils can recall information on real life graphs to both draw and visualise them All pupils can apply their knowledge of on a variety of rates of change problems

Starter: How would we find the speed and acceleration from distance time information?

Rates of Change L.O. All pupils can recall information on real life graphs to both draw and visualise them All pupils can apply their knowledge of on a variety of rates of change problems

Main:

Main:

Main:

Main:

Main:

Main:

Main:

Main:

Main:

Main: Textbook

Rates of Change L.O. All pupils can recall information on real life graphs to both draw and visualise them All pupils can apply their knowledge of on a variety of rates of change problems

Plenary:

Rates of Change L.O. All pupils can recall information on real life graphs to both draw and visualise them All pupils can apply their knowledge of on a variety of rates of change problems