A story of problem-solving styles, with the central example of finding the average area for the shadow of a cube.

There are a few special right triangles many of us learn about in school, like the 3-4-5 triangle or the 5-12-13 triangle. Is there a way to understand all triplets of numbers (a, b, c) that satisfy a^2 + b^2 = c^2? There is! And it...

There are a few special right triangles many of us learn about in school, like the 3-4-5 triangle or the 5-12-13 triangle. Is there a way to understand all triplets of numbers (a, b, c) that satisfy a^2 + b^2 = c^2? There is! And it uses...

New ReviewLet's start with a basic factoring technique which is factoring out the GCF of binomials. We are looking for common factors of each term that we can "factor" out so we can rewrite the expression as a product.

New ReviewLearn how to find the surface area of pyramids step-by-step with Mrs. C! In this lesson, we break down all the important parts of a pyramid—base, lateral faces, slant height—and use clear, color-coded examples to find the total surface...

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 know that perimeter is measured in units of length and can be found by counting or measuring units. Key learning points: - Perimeter is measured in units of length. - Perimeter can be counted if shapes are presented on...

Pupil outcome: I understand that different 2D shapes can have the same perimeter. Key learning points: - Shapes that look different can have the same perimeter. - You can draw or create more than one 2D shape with the same perimeter. -...

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 calculate the perimeter of a rectangle using addition and multiplication. Key learning points: - To calculate the perimeter of a rectangle you can double the lengths of the shorter and longer sides and add the...

Pupil outcome: I can make and draw triangles on circular geoboards. Key learning points: - Three points on a geoboard can be joined to make a triangle. - Triangles can have different properties. - Different triangles can be created on...

Pupil outcome: I can draw quadrilaterals and other polygons with given properties. Key learning points: - If you know the properties of a shape you can use a ruler and a grid to create it. - Lines are perpendicular when they are at right...

Pupil outcome: I can calculate the area of compound rectilinear shapes. Key learning points: - Use addition and subtraction to calculate missing side lengths in compound rectilinear shapes. - Identify two different lengths which total...

Pupil outcome: I can use the properties of a range of polygons to deduce their perimeters, including generalising a perimeter formula where appropriate. Key learning points: - You can identify how to find the perimeter of polygons. - The...

Pupil outcome: I can derive the formula for the area of a triangle. Key learning points: - It is possible to find a relationship between triangles and parallelograms. - You can use this relationship to find a formula for the area of a...

Pupil outcome: I can use my knowledge of perimeter and area to solve problems. Key learning points: - Problems in context involving perimeter can be solved. - Problems in context involving area can be solved. - The units of measurement...

Pupil outcome: I can use my knowledge of constructions to solve problems. Key learning points: - Shapes made from triangles can be constructed. - By investigation it is possible to accurately construct multiple polygons. - Shortest...

Pupil outcome: I can use my knowledge of place value to solve problems. Key learning points: - Measures are not always presented in the same format. - Sometimes a measure must be converted into a desired format. - Real-life context can...

Pupil outcome: I can understand the nature of reflections and appreciate what changes and what is invariant Key learning points: - The length of the lines do not change when reflected. - The angles inside an object do not change when...

Pupil outcome: I can calculate trigonometric ratios for 0°, 45° and 90°. Key learning points: - The trigonometric ratios for 45° can be calculated using a square - The square should have lengths of 1 unit - By splitting the square into...

Pupil outcome: I can use Pythagoras' theorem to justify whether a triangle is right-angled. Key learning points: - For a triangle to be right-angled, Pythagoras' theorem must hold - By substituting in the three lengths, you can show...

Pupil outcome: I can apply the distributive law to two or more binomials. Key learning points: - The distributive law can be used with expressions containing surds. - This can be extended to finding the product of two or more binomials....

Pupil outcome: I can use my knowledge of surds to solve problems. Key learning points: - Surds are a useful format to leave an answer as. - Surds can help with the accuracy of future calculations. - Surds can be seen in many areas of maths.

Pupil outcome: I can use compound measures for pressure. Key learning points: - Pressure can be calculated by dividing the force on the objects by the area on which the force acts. - The units for force and area determine the units for...