In this Grade 7 math video, we solve a problem aligned with Standard 7.G.A.2 — determining which sets of angles or sides CANNOT form a triangle!
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We review two key
theorems:
🔹 Triangle Sum Theorem — The sum of the...

Pupil outcome: I can calculate the perimeter of a regular polygon using multiplication. Key learning points: - If you know the length of one side of a regular polygon you can calculate the perimeter. - Multiply the side length by the...

Pupil outcome: I know that the perimeter is the distance around a 2D shape. Key learning points: - Perimeter is a measurement of length. - Perimeter is the distance around a 2D shape.

Pupil outcome: I can use my knowledge of shape properties to sketch and identify shapes. Key learning points: - Regular shapes have all sides the same length and all angles equal size. - Knowledge of properties of shapes helps to sketch...

Pupil outcome: I know that a regular polygon has sides that are the same length and angles that are the same size. Key learning points: - In a regular polygon, the sides are all the same length and the angles are all the same size - In...

Pupil outcome: I can explain how two congruent triangles can arranged to compose a parallelogram. Key learning points: - The area of a triangle is equal to half the area of the parallelogram you create from 2 congruent triangles. - Any...

Pupil outcome: I can use my knowledge of shape properties to draw shapes accurately using rulers and protractors. Key learning points: - A protractor is used to draw and measure angles accurately. - Read the scale from zero on a...

Pupil outcome: I can use a letter to represent a generalised number and form a linear equation from a context. Key learning points: - Quantities that change can be assigned a variable. - If there is a relationship between these...

Pupil outcome: I can appreciate that the diagonals of a rhombus bisect one another at right angles and the angles are bisected. Key learning points: - An isosceles triangle has a line of symmetry that splits it into two congruent...

Pupil outcome: I can explain the properties of various polygons. Key learning points: - Quadrilaterals can be described and identified using their properties. - Triangles can be classified according to their properties. - Polygons can be...

Pupil outcome: I can identify (by eye) which shapes are congruent, similar or neither. Key learning points: - If two shapes are congruent, then they are similar. - A ratio table can be a helpful tool for checking the multipliers. - The...

Pupil outcome: I can use reasoning to derive the sum of interior angles in multiple ways. Key learning points: - Not all vertices of component shapes contribute to the sum of the interior angles of a composite shape. - A numerical...

Pupil outcome: I can construct a logical argument. Key learning points: - A logical argument does not have to only be algebraic. - Geometrical reasoning can be used to argue that something is true. - Values can be used to demonstrate...

Pupil outcome: I can use my knowledge of polygons to solve problems. Key learning points: - Problems can be solved using parallel line angle facts. - Problems can be solved using interior and exterior angles of polygons. - Problems can...

Pupil outcome: I can appreciate that the trigonometric functions are derived from measurements within a unit circle. Key learning points: - The unit circle is a circle with a radius of one. - The unit circle is centered on the origin. -...

Pupil outcome: I can appreciate what constitutes the proof of a statement and what is required to disprove. Key learning points: - Substituting values can reveal whether the conjecture is wrong. - This is referred to as disproving. - A...

Pupil outcome: I can solve problems that require a combination of angles facts to identify values of missing angles, providing explanations of reasoning and logic used. Key learning points: - Missing angles can be found using parallel...

In this video, we investigate some of the basic properties of Spherical Geometry. Almost all of what is taught in high schools is, specifically, Euclidean geometry. Spherical Geometry is based on a different set of axioms, so many 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...

A special set of symmetrical solid shapes that were once thought to be the building blocks of the Universe – what are the characteristics of the Platonic Solids? Includes summing of interior angles. Maths - Shape A Twig Math Film....

In this math video we will identify and use facts about vertical, complementary & supplementary angles to solve problems. We will review the definition of an angle. We will draw an angle from two rays and a vertex. We will draw...

In this math video we will determine how many unique triangles can be formed. We will be given three angle measures and asked how many unique triangles can be formed. We will review and understand that the three interior angles of any...

This video covers the angle rules when you have a transversal crossing two parallel lines. After covering the basics we run through the alternate angles (z angles), corresponding angles (f angles) and allied angles (c angles)...

Mr. Addit defines the terms; right triangle, hypotenuse, legs, equilateral, equiangular, isosceles, scalene, equiangular, obtuse, and acute.