👉 Learn how to solve for the length of the sides and the measures of the angles of a triangle using the law of sines. The law of sines is used in determining the length of the opposite side to a known angle measure or the measure of the...

Learn how to determine the magnitude and direction of a vector. The magnitude of a vector is the length of the vector. The magnitude of a vector is obtained by taking the square root of the sum of the squares of the components of the...

👉 Learn about polygons and how to classify them. A polygon is a plane shape bounded by a finite chain of straight lines. A polygon can be concave or convex and it can also be regular or irregular. A concave polygon is a polygon in which...

A google and amazon interview question with a really clever solution

👉 Learn about dilations. Dilation is the transformation of a shape by a scale factor to produce an image that is similar to the original shape but is different in size from the original shape. A dilation that creates a larger image is...

👉 Learn all about evaluating trigonometric functions with triangles. In this playlist, we will learn how to evaluate, sine, cosine, tangent, cotangent, secant, and cosecant when given the sides of a triangle. If we have missing sides we...

👉 Learn how to evaluate the secant of the sum or difference of two angles using the sum/difference formulas. To do this, we first use the Pythagoras theorem to obtain all the sides of the right triangle in the unit circle. Recall that...

👉 Learn how to evaluate the tangent of a half-angle. When given the value of the tangent of an angle, we can evaluate the tangent of half the angle using the tangent half-angle formula. When the value of any other trigonometric function...

👉 Learn how to find the rate of change from graph. The rate of change is the rate at which y-values are changing with respect to the change in x-values. To determine the rate of change from a graph, a right triangle is drawn on the graph...

In this video, Kathy uses her knowledge of angles to design a graphic logo for her skateboard. She decomposes the design into congruent triangles and attempts to copy and paste them, but struggles to align them perfectly. Through trial...

In this video, the teacher explains how to find the area of a triangle using the coordinates of its vertices. They break down the triangle into three trapeziums and provide a formula for finding the area. They also provide a helpful...

Cartesian products can create sets of ordered pairs which correspond to points in 2-dimensional space, or ordered triples which correspond to points in 3-dimensional space. These sets form the logical foundation of the Cartesian...

In this video lesson, students learn how to determine if two triangles are similar by examining their corresponding parts. They review the four similarity transformations and understand that similar triangles have the same shape but not...

In this video, the teacher explains how to find the length of a rope needed to pitch a tent using the cosecant ratio in right triangles. The teacher demonstrates the use of the sine ratio and then introduces the cosecant ratio as the...

👉 Learn about the interior and the exterior angles of a polygon. A polygon is a plane shape bounded by a finite chain of straight lines. The interior angle of a polygon is the angle between two sides of the polygon. The sum of the...

👉 Learn how to solve for an unknown variable using parallel lines and a transversal theorems. Two lines are said to be parallel when they have the same slope and are drawn straight to each other such that they cannot meet. In geometry,...

Learn how to use a unit circle to study angles and find the values of sine, cosine, and tangent functions. The teacher reviews the ratios of sides in special triangles and emphasizes the importance of drawing the reference triangle...

👉 Learn how to evaluate the six trigonometric functions given some constraints. When given the value of one trigonometric function, we can use a right triangle with one of its legs on the x-axis and the other leg, perpendicular to the...

👉 Learn all about evaluating trigonometric functions with triangles. In this playlist, we will learn how to evaluate, sine, cosine, tangent, cotangent, secant, and cosecant when given the sides of a triangle. If we have missing sides we...

👉 Learn how to evaluate the six trigonometric functions given a right triangle. A right triangle is a triangle with 90 degrees as one of its angles. A right triangle is made up of two legs, which formed the sides of the 90 degrees angle...

👉 Learn how to evaluate the secant of the sum or difference of two angles using the sum/difference formulas. To do this, we first use the Pythagoras theorem to obtain all the sides of the right triangle in the unit circle. Recall that...

👉 Learn how to reflect points and a figure over a line of symmetry. Sometimes the line of symmetry will be a random line or it can be represented by the x or y-axis. Either way when reflecting a point and or figure over the line of...

In this video, students will learn how to identify pentagons by finding shapes with five straight sides that meet at five corners. The teacher explains the importance of straight sides and closed shapes in determining if a shape is a...

Understand the different types of angles of triangles, such as right angles, obtuse angles, and acute angles. We then demonstrate how to identify and sort triangles into these categories.