Pupil outcome: I can solve a quadratic inequality graphically. Key learning points: - A quadratic equation can be represented graphically - The solutions are where the graph cross the x axis - By studying the graph, you can see where the...

Pupil outcome: I can generate coordinate pairs for a quadratic graph from its equation and then draw the graph. Key learning points: - A table of values can be useful to identify coordinate pairs which satisfy the equation. - By...

Pupil outcome: I can recognise the features of a quadratic sequence. Key learning points: - A quadratic sequence does not have a common difference. - The second differences between terms are equal.

Pupil outcome: I can use my knowledge of non-linear graphs to solve problems. Key learning points: - The shape of the graph can be used to identify the form of its equation. - Sketching the graph can help when solving problems. - Problem...

Pupil outcome: I can factorise quadratics of the form ax^2 + bx + c. Key learning points: - For these cases, there are restrictions on how you decompose the x term. - Using the area model can show why this is. - By considering the...

Pupil outcome: I can appreciate that different types of equations give rise to different graph shapes, identifying quadratics in particular. Key learning points: - There are many different types of equations. - You can plot the graph of...

Pupil outcome: I can solve a quadratic inequality algebraically. Key learning points: - The solutions to the quadratic equation can be found using one of your known methods - By sketching the graph, it is easy to define the solution set...

Pupil outcome: I can find the n^th term formula for a quadratic sequence. Key learning points: - A quadratic sequence does not have a common difference. - The second differences between terms are equal. - The general n^th term formula is...

In this video, we define the discriminant and see how we can use it to determine the number of solutions to a quadratic equation.

In this video, we practice using the discriminant to determine the number of solutions to a quadratic equation. Please see my second video on the topic for more practice: • Practice with the Discriminant

In this video, we do two quadratics word problems. The first involves two square and their areas. The second involves a right triangle with polynomial side lengths.

In this video, we examine how to use quadratics in a situation involving revenue for an apartment complex.

In this video, we use substitution to take equations and rewrite them in the form of a quadratic so that we can solve them.

In this video, we solve equations with radicals. In the first example, we solve an equation with a single radical. In the second problem, we solve an equation with two radicals.

In this video, we look at two examples of absolute value equations. The first is a quadratic absolute value equation. The second is an absolute value equation with no solutions.

This video walks through two examples of "advanced" distance formula problems. Specifically, problems where you are given the distance, but have to work backwards to find one of the original points.

Find all six trig ratios given a point on the terminal side of theta. In this video we work this common type of problem. We use the Pythagorean Theorem to find "r" (hypotenuse), and then use the given "x" (adjacent) and "y" (opposite) to...

In this video, we rewrite polynomials into factored form when given a zero.

In this video, we do two examples of using the rational root theorem to find all zeros of a polynomial function.

In this video, we do quadratics word problems that can be solved using vertex form of a quadratic.

The video shows how to graph a 4th‑degree polynomial using its leading term, rational root theorem, and synthetic division:

In this video, we solve more exponential and logarithmic equations.

In this video, we learn how to solve quadratic equations with the quadratic formula. We examine one example where we have to simplify the radical, and a second example with a nonreal solution.

The "b" value controls horizontal stretch and compression. In this video, we examine how changing "b" affects the graph of a function. What does b do to a function? Why is it "backwards?" We explore all of these questions in this video.