Molehill Maths
Lessons and Diferentiated Resources to reduce the planning mountain
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Lessons and Diferentiated Resources to reduce the planning mountain
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Iterative Processes: Iteration Problems
Using iteration to solve practical problems including areas of shapes being equal.
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AQA GCSE Higher+ Unit - Proportion and Graphs
5 lessons covering
Direct Proportion Graphs
Inverse Proportion Graphs
Gradients and Rates of Change
Gradients and Instantaneous Change
Gradients and Average Change
Proportion & Graphs: Average Change
Understand the difference between average and instantaneous change and the difference between using chords and tangents for measuring rates of change, and choose as appropriate.
Proportion & Graphs:Instantaneous Change
Understand the gradient of a line as the rate of change of two variables and calculate rates of changes.
Proportion & Graphs: Gradients & Rates of Change
Understand the gradient of a line as the rate of change of two variables and calculate rates of changes.
Proportion & Graphs: Inverse Proportion Graphs
Recognise and use the graph of an inverse proportion relationship.
Proportion & Graphs: Direct Proportion Graphs
Recognise and use the graph of a direct proportion relationship.
Review of straight line graphs. Link with directly proportional graphs and +ve x-axis. Worked examples and questions
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AQA GCSE Higher+ Unit - Algebraic Proportion
5 lessons covering the Algebraic Proportion Unit:
Proportional Relationships
The Constant of Proportionality
Using Directly Proportional Relationships
Using Inversely Proportional Relationships
Practical problems with Proportional Relationships
Algebraic Proportion:Practical Problems
Set up and use direct and inversely proportional relationships from practical contexts.
Algebraic Proportion: Using Inversely Proportional Relationships
Set up and use algebraic inversely proportional relationships
Algebraic Proportion: Using Directly Proportional Relationships
Set up and use algebraic directly proportional relationships
Algebraic Proportion: Constant of Proportionality
Set up proportional relationships and find constants of proportionality
Algebraic Proportion: Proportional Relationships
Find formulae for proportional relationships and inversely proportional relationships from practical situations
Bundle
AQA GCSE Higher+ Unit - Understanding Proportion
7 lessons:
Proportional Relationships: Direct Proportion
Proportional Relationships: Inverse Proportion
Fractional Multipliers
Proportions and Fractions
Ratios: Solving Problems
Functions
Compound Units
Proportions and Fractions
Understand and write proportions as fractions and as algebraic relationships. Compare ratios and fractions. Express one variable in terms of another when represented as a ratio.
Compound Units
Understand what compound units represent and how their units describe the parts of the compound. Calculate using density, pressure and speed.
Proportional Relationships: Functions
Write both direct and inversely proportional relationships as functions. Understand which type of proportion is being displayed.
Ratio_Problem Solving
Use ratios in a variety of contexts to solve problems where:
1] parts are compared
2] ratios are combined
3] ratios are changed.
Proportional Relationships: Fractional Multipliers
How to use fractions to explain proportional relationships. How to calculate complicated proportional relationships, without a calculator, using fractions.
Proportional Relationships: Inverse Proportion
Understand inverse proportion as division into a constant or multiplication to a constant. Calculate using inversely proportional relationships.