Year 11 Term 2

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Year 11 Term 2

Instantaneous Rates of Change

Students learn how to calculate and interpret instantaneous rates of change in different contexts.  By drawing a...

Problems with Simultaneous Equations

To introduce the idea of equivalent equations the starter involves calculating the common factor between multipl...

Solving Simultaneous Equations

At the start of the lesson students review deriving and solving a simple equation from a geometrical puzzle.  Th...

Solving Simultaneous Equations Graphically

The start of the lesson involves recognising the properties of linear functions both algebraically and graphical...

Algebraic Fractions Products & Quotients

In this mathematics lesson students learn how to multiply and divide with algebraic fractions.  As learning prog...

Adding and Subtracting Algebraic Fractions

The key idea with adding and subtracting algebraic fractions is to create common denominators.  As learning prog...

Working with Functions

Students learn how to use the correct notation to calculate outputs and inputs for complex functions.  As learni...

Translating Functions

Students learn how to perform and describe graphical transformations in the form f(x+a) for horizontal translati...

Stretching Functions

Students learn how to transform a graph through a horizontal stretch in the form f(ax) or vertical stretch in th...

Solving Equations Through Iteration

Students learn how to use numerical methods to solve equations through iteration.  As learning progresses they a...

Inverse Functions

In this mathematics lesson students learn how to find the inverse of a function using function machines.  As lea...

Composite Functions

In this mathematics lesson students learn how to find the output of composite functions using the correct notati...

Equations with Algebraic Fractions

Students learn how to solve equations with algebraic fractions by finding common denominators and using the bala...

Simplifying Algebraic Fractions

When simplifying algebraic fractions students first need to be able to factorize and expand linear as well as qu...

Exact Trigonometric Solutions

Students learn how to solve trigonometrical equations with exact solutions using special triangles.   As learnin...

Trigonometrical Graphs

Students learn how to plot and read from trigonometrical graphs between 0 to 360°.  As learning progresses they ...

Mr Mathematics Blog

How to Simplify Surds

When learning how to simplify surds students need to understand the difference between a rational and irrational number. Rational numbers include integers and terminating and repeating decimals. They can be written as a fraction with both the numerator and denominator as integers. An irrational number is a number which, in its decimal form does not […]

Sharing an Amount to a Given Ratio

There are three common methods for sharing an amount to a given ratio.  Depending on the age group and ability range I am teaching I would choose one approach over the other two. The three methods are: Using fractions Unitary method Using a table In this blog I will demonstrate each of the three methods […]

Plotting Scatter Graphs and Understanding Correlation

To introduce plotting scatter graphs and understanding correlation I ask students to think about the relationships between different variables and to describe how they might be related. Here's my starter activity which students discuss in pairs then present to me on mini-whiteboards. When the students have had time to discuss the matching pairs we talk […]