Pupil outcome: I can find a bearing between the points on a map or scaled plan. Key learning points: - If the map is to scale, then you can use a protractor to measure the bearing. - If the map is not to scale, you may need to use angle...

Pupil outcome: I can understand how maths is used by engineers. Key learning points: - Fractions are more useful when dealing with imperial measurements - Pythagoras' theorem is used when considering force diagrams - Standard form is...

Pupil outcome: I can translate, reflect and rotate a shape. Key learning points: - Translation, reflection and rotation produce an image congruent to the object. - Translation involves moving the shape. - Rotation involves turning the...

Pupil outcome: I can use the terms acute, obtuse and reflex when comparing angles to a right angle. Key learning points: - Angles are marked with a curve between the lines which have been rotated - Angles with a bigger turn are larger...

Pupil outcome: I can explain how mirrors are reflective materials that are used to change the direction in which light travels. Key learning points: - When light is reflected off the surface of an object, it changes direction. -...

Pupil outcome: I can investigate how changing the angle of a mirror affects the angle of reflected light. Key learning points: - If you change the angle that light hits a surface, the angle of reflection will also change. - Mirrors are...

Pupil outcome: I can reason about the sum of the angles within different polygons. Key learning points: - Angles describe and measure a turn or rotation. - Protractors can be used to measure and draw angles. - Use knowledge of right...

Pupil outcome: I can draw and measure any angle and am confident with various angle notations. Key learning points: - A protractor is used to draw angles. - A protractor is used to measure the size of angles. - A protractor measures...

Pupil outcome: I can find the interior angle of any polygon. Key learning points: - Any polygon can be split into triangles. - Using these triangles you can demonstrate the rule for the interior angle sum of a polygon. - A missing...

Pupil outcome: I can construct pie charts from data presented in a number of different ways using technology. Key learning points: - Pie charts can be constructed quickly using Excel. - The angle of each part can be quickly calculated in...

Pupil outcome: I can explain why the heating effect of the Sun is greater at midday than at sunrise. Key learning points: - Heating a surface from directly overhead is more effective than heating a surface at a different angle. - When...

Pupil outcome: I can confidently calculate with angles at a point, angles on a line and vertically opposite angles. Key learning points: - Angles that meet around a point sum to 360° - Angles that make a straight line sum to 180° -...

This content analyzes the motion of a car accelerating on a circular path. It explains how to calculate both the tangential and radial (centripetal) acceleration components, then determine the magnitude of the net acceleration and its...

This video demonstrates how to calculate the net work done on an object by multiple forces and explains its relationship to the change in kinetic energy. It walks through a solved physics problem, ideal for understanding work-energy...

In this video, we solve problems using the relationships between secants, chords, tangents, and their intercepted arcs. The formulas for the two theorems discussed are very similar, where the only difference is sometimes we do 1/2(a+b),...

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...

How do you prove circle theorems? In this video, we perform some "lazy" proofs that justify some of the relationships like the relationship between an inscribed angle and a central angle, the angle formed by intersecting secants, the...

In this video, we try to build a conceptual understanding of how to find arc length of a circle using a the proportion strategy or the equation strategy. *Important note: the arc measure is independent of the radius! *In the example at...

You can use a formula (equation) or a proportion to find sector area. This video shows to to do both strategies. The final example has you "work backwards" where you are given the sector area and you have to solve for the radius.

In this video, we define radians and learn how to convert between radians and degees.

In this video, we define reference angles, learn formulas for reference angles, and learn how to calculate reference angles. Personally, I focus more on visualizing the angle itself vs memorizing the formula

The sum of the exterior angles of a polygon is discussed in this video. We derive the rule, solve practice problems, and then at the end we look at an interesting relationship between the sum of the INTERIOR angles and the sum of the...

In this video, we derive the rule for the sum of the interior angles of a polygon: 180(n-2). The formula is derived by taking the number of sides, subtract two (to find the number of triangles), and then multiply by 180. At the end of...

How to use the Law of Sines to find sides and angles. In this video, we will see how to use the Law of Sines in two practice problems. We will first solve for a side length in a triangle, then we will solve for an angle.