Solving Quadratics

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Solving Quadratics

Form and Solve Quadratic Equations

Students learn how to form and solve quadratic equations from geometry problems.  Problems include finding the a...

Solving Quadratic Identities

Students learn how to solve quadratic identities by completing the square and equating terms. As learning progre...

Solving Complex Quadratics by Factorising

In this mathematics lesson students learn how to solve quadratics in the form ax2 + bx + c = 0 through factorisa...

Solving Quadratics by Factorising

Students learn to solve quadratic equations by factorising quadratic equations when the coefficient of x2 is one...

Sketching Quadratic Graphs

In this mathematics lesson students learn how to sketch quadratics by identifying the y intercept, roots and tur...

Using the Quadratic Formula to Solve Equations

In the development phase the teacher is provided with several examples to demonstrate solving equations using th...

Quadratic and Linear Simultaneous Equations

To solve a quadratic and linear equation simultaneously students first review the elimination method for two lin...

Completing the Square

The method of Completing the Square is introduced through recognising a need to solve a quadratic when it can no...

Mr Mathematics Blog

Comparing Datasets using the Mean and Range

In my experience, students, in general, find the concept of a mean straightforward to calculate and understand. However, the mean alone does not provide a complete picture of a set of data. To achieve this, a measure of spread is also required. The range is the simplest measure that can be used for this. Not […]

Solving Problems with Angles in Parallel Lines

Solving problems with angles in parallel lines is like solving a murder mystery.  One clue leads on to the next and the next until the murderer is found.  However, it doesn’t end there.  The detectives need to explain their reasoning in court using the relevant laws and procedures should the murderer plead not guilty.  If […]

Solving Two Step Equations using the Balance Method

An equation is when one expression, or term, is equal to another.  To solve an equation means to find the value of the variable (represented by a letter) that makes the two expressions equal.  There are two types of equations for secondary school mathematics, linear and none-linear.  In this blog I write about how I […]