[sqlite] SQL question

[Lloyd Dupont]

I have 2 related table:
CREATE TABLE Ingredients(
    ID INTEGER PRIMARY KEY,
    name TEXT,
    description BLOB,
    property_ID INTEGER
);

CREATE TABLE Properties(
    ID INTEGER PRIMARY KEY,
    price double
);

When I create a new Ingredient I would like to create a new property for this 
ingredient and setup its property_ID.

because there is no stored procedure I was thinking to use a trigger like this 
one:
CREATE TRIGGER create_ingredients_property AFTER INSERT ON Ingredients
FOR EACH ROW
BEGIN
    INSERT INTO Properties () VALUES ();
    UPDATE Ingredients SET property_ID=ROWID WHERE ID=OLD.ID;
END;

but it doesn't work....
I could do with some help for the SQL syntax :D