Add the flour, salt and cream of tartar to a large mixing bowl. Whisk to combine.
Add the oil and water to a saucepan over medium heat. Slowly whisk in the flour mixture. Stir constantly until a stiff ball of dough forms. Remove from heat and allow the dough to cool for 5 minutes.
If you want to color the play dough, divide into equal parts and press out with your hand to create a thick pancake shape.
Add 3-4 drops of your choice of food coloring to each pile of dough. Fold the dough over to cover the drops and place in a plastic bag and seal.
Knead the bag with your hands for about 3 minutes or until the food coloring is evenly distributed throughout the play dough.