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# Unit Overview: Revise - Linear and Quadratic Graphs

## Lessons:

12 lessons

### Find the gradient of a line

In this lesson, we will revise the term 'gradient' and learn how to identify and calculate the gradient of a plotted line using two pairs of coordinates. We will compare lines with different gradients.

• 2 Quizzes
• 7m Video
• Presentation(PPT)
• Worksheet
• Transcript

### Find the equation of a straight line using y=mx+c

In this lesson, we will find the equation of a straight line using y=mx+c. We will use coordinates taken from a plotted straight line to help us calculate the gradient, then use a method of substitution to find the equation of the line.

• 2 Quizzes
• 8m Video
• Presentation(PPT)
• Worksheet
• Transcript

### Find the intercept and gradient from a line given in any form

In this lesson, we will investigate different strategies to find the intercept and gradient for a linear graph. Each method will utilise the equation of the line.

• 2 Quizzes
• 4m Video
• Presentation(PPT)
• Worksheet
• Transcript

### Using gradient to solve problems with parallel lines

In this lesson, we will use the gradient of a line to solve problems with parallel lines. We will investigate the relationship between different linear graphs with the same gradient.

• 2 Quizzes
• 5m Video
• Presentation(PPT)
• Worksheet
• Transcript

In this lesson, we will plot graphs of simple quadratic equations and recognise some of their properties. We will determine the general features of quadratic graphs.

• 2 Quizzes
• 6m Video
• Presentation(PPT)
• Worksheet
• Transcript

In this lesson, we will plot graphs of quadratic equations of the form ax² + bx + c and recognise some of their properties. We will investigate how different coefficients alter the appearance of the quadratic curve.

• 2 Quizzes
• 6m Video
• Presentation(PPT)
• Worksheet
• Transcript

In this lesson, we will interpret graphs of quadratic equations in order to find their solutions. We will investigate the key features of quadratic graphs that help us identify their solutions.

• 2 Quizzes
• 7m Video
• Presentation(PPT)
• Worksheet
• Transcript

### Identify and interpret roots, intercepts and turning points of quadratic graphs

In this lesson, we will recognise the roots, y-intercept and turning points on a graph of a quadratic function. We will define these key terms and investigate quadratic curves to help label them with this new vocabulary.

• 2 Quizzes
• 6m Video
• Presentation(PPT)
• Worksheet
• Transcript

### Draw quadratic graphs (a > 1)

In this lesson, we will learn how to draw quadratic graphs where the coefficient of x² is greater than 1

• 1 Quiz
• 3m Video
• Presentation(PPT)
• Worksheet
• Transcript

### Draw quadratic graphs (negative x squared)

In this lesson, we will learn how to draw quadratic graphs where the coefficient of x² is negative.

• 3m Video
• Presentation(PPT)
• Worksheet
• Transcript

### Solve quadratic graphs = 0, = a and = ax + b

In this lessons we will learn how to use graphs to find solutions to equations where one is quadratic and one is linear.

• 6m Video
• Presentation(PPT)
• Worksheet
• Transcript