Molehill Maths
Lessons and Diferentiated Resources to reduce the planning mountain
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Lessons and Diferentiated Resources to reduce the planning mountain
Mathematics
AQA GCSE Higher+ Unit: Equations, Inequalities, Identities
15 lessons covering the GCSE unit includes:
Solving linear equations and linear inequalities
Solving Simultaneous equations
Plotting Inequalities and recognising regions.
Bundle
AQA GCSE Higher+ Unit - Numerical Data
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
Bundle
AQA GCSE Higher+ Unit - Number Problems
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
Permutations and the Fundamental 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.
Understanding Loci
Looking at locus-
around a point
to a line
to a line segment
to 2 points
to 2 lines
Worked examples and questions included. All answers included.
Practical Loci
Applying loci to practical problems. Includes
-locus to a point
-locus to a line segment
-locus to two points
-locus to two lines.
Examples of loci within shapes.
Worked examples and questions. All answers included.
Bearings
Looking at definitions , measuring, calculating and drawing bearings. Worked examples and question slides. All answers included
Tree Diagrams
Lesson introduces tree diagrams and explains how used for finding probabilities of independent events. Worked examples. Worksheet, All answers worked through and included on ppt.
Probability_Independence
What is independence. Looking at how we examine independence with conditional probability using the formula P(A given B) etc. Worked examples of all skills. Question slides. All answers worked through on ppt.
Circle Theorems - Solving Multi Step Problems
Exploring how to approach these problems by examining the information on the diagram (eliminating inapplicable theorems). Lots of worked through examples.
Circle Theorem - Angles in the same arc
Concentrating on one theorem. Explanation of the theorem. Two worked examples. 6 questions. Starter included. All answers, worked through, included.
Circle Theorem - Two Radii
Concentrating on one theorem. Explanation of the theorem. Two worked examples. 6 questions. Starter included. All answers, worked through, included.
Distance-Time Graphs_Calculations
Draw and interpret distance time graphs.
Perform calculations with speed, distance and time.
Interpreting Distance-Time Graphs
Draw and interpret distance time graphs without scales.
Match graphs with descriptions
Gradients and Real Life Graphs
Find numerical values of gradients and then interpret.
Use gradients of tangents and chords for Non-Linear Graphs.
Using Exponential Graphs
Plot an exponential graph from a given practical situation, and interpret the graphs in terms of the problem.
Bundle
AQA GCSE Higher+ Unit - Probability
8 lessons covering:
Sample Space Diagrams
Two-Way tables
Venn diagrams and Set theory
Frequency Trees
Tree Diagrams
Tree Diagrams and Conditional Probability
Independent vs Dependent
And / Or rules
Bundle
AQA GCSE Higher+ Unit - Trigonometry in Non-Right
5 lessons including
The Sine Rule
The Cosine Rule
Applying the Sine and Cosine Rules
Area of a triangle
Problem Solving
Probability_And & Or
Looking at how we formalise ideas from tree diagrams and Venn diagrams to explain the differences between P(A and B) vs P(A or B). Introduces formulae. Worked examples of all skills. Question slides. All answers worked through on ppt.
Similar Shapes
Lesson includes starter on equivalent ratios. Worked examples looking at similarity in side lengths, area and volume. Question slide and fully-worked answers