Lessons covering
1] Problem Solving with Lower and Higher Bounds
2] Standard Form with Lower and Upper Bounds
3] Permutations and the Principle of Counting
Lesson examines how to use factorials and the product rule to find permutations. Then extends to look at how to apply these ideas when restrictions are applied to the choices.
Lesson looks at rounding with Bounds. How significant figures apply to standard form. Problem Solving with standard form and Bounds. Full worked examples and ALL answers included.
Lesson reviews how to find Bounds. Examines calculations and highlights that multiplication can produce error intervals greater than the bounds. Worked examples of Bounds problems including area, volume and compound measures. Question slides, fully worked answers. MC plenary on how to find a Bound.
Lessons included
1] Types of Data
2] Sampling Rationale and Types
3] Stratified Sampling
4] Grouping Discrete Data
5] Grouping Continuous Data
6] Averages from Tables
7] Drawing Box plots from lists
8] Interpreting Box plots
9] Cumulative Frequency finding Quartiles
10] Cumulative Frequency and Box plots
11] Drawing Histograms
12] Analysing Histograms
Drawing a CUmulative Frequency Graph. Finding LQ, Median, UQ and using this information to draw a Box Plot. Definitions all terms. Worked examples and question slides. ALL answers included.
9-1 GCSE lesson reviewing bivariate data, plotting a scattergraph, types of correlation. Examines how to draw a good line of best fit and how to use for predictive purposes.
9 lessons on:
1] Midpoints and lengths
2] Equations of a line from two coordinates
3] Equations of a perpendicular bisector
4] Pythagoras and Trigonometry and Coordinates
5] Non-right Trig and Coordinates
6] Tangents and Circles
7] Circle Theorems and Coordinates
8] Translating any Graph
9] Reflecting any Graph
Looks at reflection of functions graphically and algebraically. Explanation of f(-x) vs -f(x) using function machines to explain results. MC questions identifying graphs from reflections and identifying functions after reflections. ALL answers included.
9-1 GCSE lesson examining how functions can be translated.
Starter on naming graphs. Explanation and worked examples of graph translation. Effects of f(x) + 2 vs f(x+2) explained and explored using function machines. MC questions on translations. Questions focusing on writing functions from translations. All answers included.
9-1 GCSE lesson. Starter is MC quiz on identifying which circle theorem should be used to answer a question.
Worked example of plotted points creating a circle theorem question. Question slide and fully worked answers.
9-1 GCSE lesson explaining how to find the equation of a tangent to a circle at a given point. Activities include writing equations of circles from centres and radii, finding perpendicular gradients. Worked examples finding the gradient a a radius, the gradient of the perpendicular line and substituting into y=mx+c to find the equation of the tangent. Full worked examples, question slides and full worked answers.
9-1 GCSE lesson looking at applying trigonometry to Cartesian grids. Starter reviews exact trig values. Worked examples using Pythagoras and Trigonometry to find sides and angles in non-right triangles. Questions. All answers included.
9-1 GCSE lesson applying Pythagoras and trigonometry to shapes on Cartesian grids. Starter reviews identifying which trig ratio to use. Worked examples of finding lengths and angles from shapes plotted through coordinates. Questions and worked answers. Plenary looking at where a point can be i you know how far it is from an identified coordinate.
9-1 GCSE lesson. Starter - finding parallel and perpendicular lines. Worked examples of the 4 steps to finding a perpendicular bisector between 2 coordinates. Questions and worked answers.
9-1 GCSE lesson finding the gradient and then equation of a line from two coordinates. Starter looks at finding if a coordinate is on,above or below a given line. Worked examples on finding a gradient, questions, Worked examples on substituting a gradient into y=mx+c to find the intercept, questions. All answers included.
7 lessons exploring
1] Special Number Sequences
2] Using the nth term
3] Geometirc Sequences
4] The pattern in Quadratics
5] Finding the nth term of Quadratics
6] Recurrence Relationships
7] Finding Recurrence Relationships
Codebreakers
Linear Sequences - next term
Quadratic Sequences - next term
9-1 GCSE lesson exploring finding the midpoint and length of a line segment.
Starter: Plotting points and identifying quadrilaterals from the plots.
Worked examples finding midpoints 1] graphically and 2] numerically. Questions. Worked examples finding lengths of line segments using Pythagoras, questions.
All answers included.
9-1 GCSE lesson exploring how to describe sequences using recurrence relationships.
2 starters: the first looking at general rules of common sequences, the second using worded questions to explore term-to-term and general rules. Worked examples explaining how recursive descriptions follow from term to term rules. Questions. Plenary MC quiz looking at arithmetic and geometric sequences.