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COORDINATE GEOMETRY | O LEVELS (4024) & IGCSE (0580) | 2025 | Sir Arshad
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Commentaires
7 commentaires
𝟯 𝗖𝗼𝗼𝗿𝗱𝗶𝗻𝗮𝘁𝗲 𝗴𝗲𝗼𝗺𝗲𝘁𝗿𝘆 𝟯.𝟭 𝗖𝗼𝗼𝗿𝗱𝗶𝗻𝗮𝘁𝗲𝘀 𝗡𝗼𝘁𝗲𝘀 𝗮𝗻𝗱 𝗲𝘅𝗮𝗺𝗽𝗹𝗲𝘀 Use and interpret Cartesian coordinates in two dimensions. 𝟯.𝟮 𝗗𝗿𝗮𝘄𝗶𝗻𝗴 𝗹𝗶𝗻𝗲𝗮𝗿 𝗴𝗿𝗮𝗽𝗵𝘀 𝗡𝗼𝘁𝗲𝘀 𝗮𝗻𝗱 𝗲𝘅𝗮𝗺𝗽𝗹𝗲𝘀 Draw straight-line graphs for Examples include: linear equations. • y = –2x + 5 • y = 7 – 4x • 3x + 2y = 5 𝟯.𝟯 𝗚𝗿𝗮𝗱𝗶𝗲𝗻𝘁 𝗼𝗳 𝗹𝗶𝗻𝗲𝗮𝗿 𝗴𝗿𝗮𝗽𝗵𝘀 𝗡𝗼𝘁𝗲𝘀 𝗮𝗻𝗱 𝗲𝘅𝗮𝗺𝗽𝗹𝗲𝘀 1) Find the gradient of a straight line. 2) Calculate the gradient of a straight line from the coordinates of two points on it. 𝟯.𝟰 𝗟𝗲𝗻𝗴𝘁𝗵 𝗮𝗻𝗱 𝗺𝗶𝗱𝗽𝗼𝗶𝗻𝘁 𝗡𝗼𝘁𝗲𝘀 𝗮𝗻𝗱 𝗲𝘅𝗮𝗺𝗽𝗹𝗲𝘀 1) Calculate the length of a line segment. 2) Find the coordinates of the midpoint of a line segment. 𝟯.𝟱 𝗘𝗾𝘂𝗮𝘁𝗶𝗼𝗻𝘀
𝟯 𝗖𝗼𝗼𝗿𝗱𝗶𝗻𝗮𝘁𝗲 𝗴𝗲𝗼𝗺𝗲𝘁𝗿𝘆 𝟯.𝟭 𝗖𝗼𝗼𝗿𝗱𝗶𝗻𝗮𝘁𝗲𝘀 𝗡𝗼𝘁𝗲𝘀 𝗮𝗻𝗱 𝗲𝘅𝗮𝗺𝗽𝗹𝗲𝘀 Use and interpret Cartesian coordinates in two dimensions. 𝟯.𝟮 𝗗𝗿𝗮𝘄𝗶𝗻𝗴 𝗹𝗶𝗻𝗲𝗮𝗿 𝗴𝗿𝗮𝗽𝗵𝘀 𝗡𝗼𝘁𝗲𝘀 𝗮𝗻𝗱 𝗲𝘅𝗮𝗺𝗽𝗹𝗲𝘀 Draw straight-line graphs for Examples include: linear equations. • y = –2x + 5 • y = 7 – 4x • 3x + 2y = 5 𝟯.𝟯 𝗚𝗿𝗮𝗱𝗶𝗲𝗻𝘁 𝗼𝗳 𝗹𝗶𝗻𝗲𝗮𝗿 𝗴𝗿𝗮𝗽𝗵𝘀 𝗡𝗼𝘁𝗲𝘀 𝗮𝗻𝗱 𝗲𝘅𝗮𝗺𝗽𝗹𝗲𝘀 1) Find the gradient of a straight line. 2) Calculate the gradient of a straight line from the coordinates of two points on it. 𝟯.𝟰 𝗟𝗲𝗻𝗴𝘁𝗵 𝗮𝗻𝗱 𝗺𝗶𝗱𝗽𝗼𝗶𝗻𝘁 𝗡𝗼𝘁𝗲𝘀 𝗮𝗻𝗱 𝗲𝘅𝗮𝗺𝗽𝗹𝗲𝘀 1) Calculate the length of a line segment. 2) Find the coordinates of the midpoint of a line segment. 𝟯.𝟱 𝗘𝗾𝘂𝗮𝘁𝗶𝗼𝗻𝘀
𝟯 𝗖𝗼𝗼𝗿𝗱𝗶𝗻𝗮𝘁𝗲 𝗴𝗲𝗼𝗺𝗲𝘁𝗿𝘆 𝟯.𝟭 𝗖𝗼𝗼𝗿𝗱𝗶𝗻𝗮𝘁𝗲𝘀 𝗡𝗼𝘁𝗲𝘀 𝗮𝗻𝗱 𝗲𝘅𝗮𝗺𝗽𝗹𝗲𝘀 Use and interpret Cartesian coordinates in two dimensions. 𝟯.𝟮 𝗗𝗿𝗮𝘄𝗶𝗻𝗴 𝗹𝗶𝗻𝗲𝗮𝗿 𝗴𝗿𝗮𝗽𝗵𝘀 𝗡𝗼𝘁𝗲𝘀 𝗮𝗻𝗱 𝗲𝘅𝗮𝗺𝗽𝗹𝗲𝘀 Draw straight-line graphs for Examples include: linear equations. • y = –2x + 5 • y = 7 – 4x • 3x + 2y = 5 𝟯.𝟯 𝗚𝗿𝗮𝗱𝗶𝗲𝗻𝘁 𝗼𝗳 𝗹𝗶𝗻𝗲𝗮𝗿 𝗴𝗿𝗮𝗽𝗵𝘀 𝗡𝗼𝘁𝗲𝘀 𝗮𝗻𝗱 𝗲𝘅𝗮𝗺𝗽𝗹𝗲𝘀 1) Find the gradient of a straight line. 2) Calculate the gradient of a straight line from the coordinates of two points on it. 𝟯.𝟰 𝗟𝗲𝗻𝗴𝘁𝗵 𝗮𝗻𝗱 𝗺𝗶𝗱𝗽𝗼𝗶𝗻𝘁 𝗡𝗼𝘁𝗲𝘀 𝗮𝗻𝗱 𝗲𝘅𝗮𝗺𝗽𝗹𝗲𝘀 1) Calculate the length of a line segment. 2) Find the coordinates of the midpoint of a line segment. 𝟯.𝟱 𝗘𝗾𝘂𝗮𝘁𝗶𝗼𝗻𝘀
𝟯 𝗖𝗼𝗼𝗿𝗱𝗶𝗻𝗮𝘁𝗲 𝗴𝗲𝗼𝗺𝗲𝘁𝗿𝘆 𝟯.𝟭 𝗖𝗼𝗼𝗿𝗱𝗶𝗻𝗮𝘁𝗲𝘀 𝗡𝗼𝘁𝗲𝘀 𝗮𝗻𝗱 𝗲𝘅𝗮𝗺𝗽𝗹𝗲𝘀 Use and interpret Cartesian coordinates in two dimensions. 𝟯.𝟮 𝗗𝗿𝗮𝘄𝗶𝗻𝗴 𝗹𝗶𝗻𝗲𝗮𝗿 𝗴𝗿𝗮𝗽𝗵𝘀 𝗡𝗼𝘁𝗲𝘀 𝗮𝗻𝗱 𝗲𝘅𝗮𝗺𝗽𝗹𝗲𝘀 Draw straight-line graphs for Examples include: linear equations. • y = –2x + 5 • y = 7 – 4x • 3x + 2y = 5 𝟯.𝟯 𝗚𝗿𝗮𝗱𝗶𝗲𝗻𝘁 𝗼𝗳 𝗹𝗶𝗻𝗲𝗮𝗿 𝗴𝗿𝗮𝗽𝗵𝘀 𝗡𝗼𝘁𝗲𝘀 𝗮𝗻𝗱 𝗲𝘅𝗮𝗺𝗽𝗹𝗲𝘀 1) Find the gradient of a straight line. 2) Calculate the gradient of a straight line from the coordinates of two points on it. 𝟯.𝟰 𝗟𝗲𝗻𝗴𝘁𝗵 𝗮𝗻𝗱 𝗺𝗶𝗱𝗽𝗼𝗶𝗻𝘁 𝗡𝗼𝘁𝗲𝘀 𝗮𝗻𝗱 𝗲𝘅𝗮𝗺𝗽𝗹𝗲𝘀 1) Calculate the length of a line segment. 2) Find the coordinates of the midpoint of a line segment. 𝟯.𝟱 𝗘𝗾𝘂𝗮𝘁𝗶𝗼𝗻𝘀
𝟯 𝗖𝗼𝗼𝗿𝗱𝗶𝗻𝗮𝘁𝗲 𝗴𝗲𝗼𝗺𝗲𝘁𝗿𝘆 𝟯.𝟭 𝗖𝗼𝗼𝗿𝗱𝗶𝗻𝗮𝘁𝗲𝘀 𝗡𝗼𝘁𝗲𝘀 𝗮𝗻𝗱 𝗲𝘅𝗮𝗺𝗽𝗹𝗲𝘀 Use and interpret Cartesian coordinates in two dimensions. 𝟯.𝟮 𝗗𝗿𝗮𝘄𝗶𝗻𝗴 𝗹𝗶𝗻𝗲𝗮𝗿 𝗴𝗿𝗮𝗽𝗵𝘀 𝗡𝗼𝘁𝗲𝘀 𝗮𝗻𝗱 𝗲𝘅𝗮𝗺𝗽𝗹𝗲𝘀 Draw straight-line graphs for Examples include: linear equations. • y = –2x + 5 • y = 7 – 4x • 3x + 2y = 5 𝟯.𝟯 𝗚𝗿𝗮𝗱𝗶𝗲𝗻𝘁 𝗼𝗳 𝗹𝗶𝗻𝗲𝗮𝗿 𝗴𝗿𝗮𝗽𝗵𝘀 𝗡𝗼𝘁𝗲𝘀 𝗮𝗻𝗱 𝗲𝘅𝗮𝗺𝗽𝗹𝗲𝘀 1) Find the gradient of a straight line. 2) Calculate the gradient of a straight line from the coordinates of two points on it. 𝟯.𝟰 𝗟𝗲𝗻𝗴𝘁𝗵 𝗮𝗻𝗱 𝗺𝗶𝗱𝗽𝗼𝗶𝗻𝘁 𝗡𝗼𝘁𝗲𝘀 𝗮𝗻𝗱 𝗲𝘅𝗮𝗺𝗽𝗹𝗲𝘀 1) Calculate the length of a line segment. 2) Find the coordinates of the midpoint of a line segment. 𝟯.𝟱 𝗘𝗾𝘂𝗮𝘁𝗶𝗼𝗻𝘀
𝟯 𝗖𝗼𝗼𝗿𝗱𝗶𝗻𝗮𝘁𝗲 𝗴𝗲𝗼𝗺𝗲𝘁𝗿𝘆 𝟯.𝟭 𝗖𝗼𝗼𝗿𝗱𝗶𝗻𝗮𝘁𝗲𝘀 𝗡𝗼𝘁𝗲𝘀 𝗮𝗻𝗱 𝗲𝘅𝗮𝗺𝗽𝗹𝗲𝘀 Use and interpret Cartesian coordinates in two dimensions. 𝟯.𝟮 𝗗𝗿𝗮𝘄𝗶𝗻𝗴 𝗹𝗶𝗻𝗲𝗮𝗿 𝗴𝗿𝗮𝗽𝗵𝘀 𝗡𝗼𝘁𝗲𝘀 𝗮𝗻𝗱 𝗲𝘅𝗮𝗺𝗽𝗹𝗲𝘀 Draw straight-line graphs for Examples include: linear equations. • y = –2x + 5 • y = 7 – 4x • 3x + 2y = 5 𝟯.𝟯 𝗚𝗿𝗮𝗱𝗶𝗲𝗻𝘁 𝗼𝗳 𝗹𝗶𝗻𝗲𝗮𝗿 𝗴𝗿𝗮𝗽𝗵𝘀 𝗡𝗼𝘁𝗲𝘀 𝗮𝗻𝗱 𝗲𝘅𝗮𝗺𝗽𝗹𝗲𝘀 1) Find the gradient of a straight line. 2) Calculate the gradient of a straight line from the coordinates of two points on it. 𝟯.𝟰 𝗟𝗲𝗻𝗴𝘁𝗵 𝗮𝗻𝗱 𝗺𝗶𝗱𝗽𝗼𝗶𝗻𝘁 𝗡𝗼𝘁𝗲𝘀 𝗮𝗻𝗱 𝗲𝘅𝗮𝗺𝗽𝗹𝗲𝘀 1) Calculate the length of a line segment. 2) Find the coordinates of the midpoint of a line segment. 𝟯.𝟱 𝗘𝗾𝘂𝗮𝘁𝗶𝗼𝗻𝘀
𝟯 𝗖𝗼𝗼𝗿𝗱𝗶𝗻𝗮𝘁𝗲 𝗴𝗲𝗼𝗺𝗲𝘁𝗿𝘆 𝟯.𝟭 𝗖𝗼𝗼𝗿𝗱𝗶𝗻𝗮𝘁𝗲𝘀 𝗡𝗼𝘁𝗲𝘀 𝗮𝗻𝗱 𝗲𝘅𝗮𝗺𝗽𝗹𝗲𝘀 Use and interpret Cartesian coordinates in two dimensions. 𝟯.𝟮 𝗗𝗿𝗮𝘄𝗶𝗻𝗴 𝗹𝗶𝗻𝗲𝗮𝗿 𝗴𝗿𝗮𝗽𝗵𝘀 𝗡𝗼𝘁𝗲𝘀 𝗮𝗻𝗱 𝗲𝘅𝗮𝗺𝗽𝗹𝗲𝘀 Draw straight-line graphs for Examples include: linear equations. • y = –2x + 5 • y = 7 – 4x • 3x + 2y = 5 𝟯.𝟯 𝗚𝗿𝗮𝗱𝗶𝗲𝗻𝘁 𝗼𝗳 𝗹𝗶𝗻𝗲𝗮𝗿 𝗴𝗿𝗮𝗽𝗵𝘀 𝗡𝗼𝘁𝗲𝘀 𝗮𝗻𝗱 𝗲𝘅𝗮𝗺𝗽𝗹𝗲𝘀 1) Find the gradient of a straight line. 2) Calculate the gradient of a straight line from the coordinates of two points on it. 𝟯.𝟰 𝗟𝗲𝗻𝗴𝘁𝗵 𝗮𝗻𝗱 𝗺𝗶𝗱𝗽𝗼𝗶𝗻𝘁 𝗡𝗼𝘁𝗲𝘀 𝗮𝗻𝗱 𝗲𝘅𝗮𝗺𝗽𝗹𝗲𝘀 1) Calculate the length of a line segment. 2) Find the coordinates of the midpoint of a line segment. 𝟯.𝟱 𝗘𝗾𝘂𝗮𝘁𝗶𝗼𝗻𝘀