A lot of pre-workout time with stretching is wasted

Before a workout better use what is called the "core" exercise.

This is to make sure your back is strong and your core is tight. Here is a list of core exercises:
Squats - This is a way of strengthening your back. You use your legs to lift your body just like a weight lifter. This strength will come from your hips and shoulders.
Chin Ups - This exercise is a lot of fun and it gets your core tight.
man jumping-rope with rope down
Cobra Holds - This is a great exercise for core strength and to balance your body.
Leg lifts - This is a great exercise for your lats and your core.
Single Leg Rows - This exercise is for building your legs and your core strength.
Sit Uprights - This is a great exercise for your core and your legs.
Standing Pecs - This is another great exercise for your core and legs. This is a great exercise to strengthen and develop the glutes.
For a beginner to work on core you will just follow the above exercises and then add cardio machines, band, or medicine balls.

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Another simple warm-up tool is the training jump rope.

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Planks - This is a great exercise for creating the core. You keep your core tight by using your pelvis to stop your torso from flying forward.
Chair - Once you have your core strong you can start adding weights, bands, and medicine balls to your core workout. Use just a bit of weight to help you get started. The next step is to start to build up to using all these exercises. You don't need to do two or three core exercises per day for this to really help you.