Gr 8 (measurement)

Theorem of Pythagoras:

• Investigation: Explore the relationship between the sides of a right-angled triangle.

• Application: Determine if a triangle is right-angled using the theorem.

• Calculation: Find missing side lengths in right-angled triangles, leaving answers in surd form.

Area and Perimeter:

• Formulas: Use appropriate formulas for circles, polygons (rectangles, triangles).

• Decomposition: Calculate areas of polygons by dividing into smaller shapes.

• Relationships: Understand the connections between radius, diameter, circumference, and area of a circle.

• Calculations: Solve problems involving perimeter and area, using SI units (mm², cm², m², km²)

THEOREM OF PYTHAGORAS 

Develop and use the Theorem of Pythagoras 

• Investigate the relationship between the lengths of the sides of a right-angled triangle to develop the Theorem of Pythagoras 

• Determine whether a triangle is right-angled triangle or not if the lengths of the three sides of the triangle is known 

• Use the Theorem of Pythagoras to calculate the missing length in a rightangled triangle, leaving irrational answers in surd form
  
  

AREA AND PERIMETER OF 2-D SHAPES 

Area and perimeter 

• Use appropriate formulae to calculate perimeter and area of: circles 

• Calculate the areas of polygons, to at least 2 decimal places, by decomposing them into rectangles and/or triangles 

• Use and describe the relationship between the radius, diameter and circumference of a circle in calculations 

• Use and describe the relationship between the radius and area of a circle in calculations 

Calculations and solving problems 

• Solve problems, with or without a calculator, involving perimeter and area of polygons and circles to at least 2 decimal places 

• Use and describe the meaning of the irrational number Pi (π) in calculations involving circles 

• Use and convert between appropriate SI units, including: mm2 ↔ cm2 ↔ m2 ↔ km2