Squats
Your buttocks and leg muscles are the largest muscles in your body. Every day in front of the mirror, put your feet at shoulder width while facing forward and squat down-and-up 10-20 times for 2 or 3 sets. This will build your leg and buttock muscles. As you build up strength, try holding 2 or 5 pound dumbbells in your hands while you work out. Be sure to warm up first, and stop if you notice any sharp pain in your knees.
Pushups
Pushups are a form of strength training: during a pushup your arms have to support up to 70% of your body weight. Do 2 or 3 sets of 20 pushups to build arm strength and increase your RMR.
Jumping jacks
Jumping jacks are an excellent whole-body aerobic workout you can do right at home. Do 4 or 5 sets of 20 jumping jacks, or as needed. Hint: if you live in an apartment or stay in a second-story bedroom, be considerate of your neighbors by going outside or doing these in a first story room.
Fast walking
While walking is in itself a great aerobic exercise, fast walking is even better for burning fat. Make sure you really stretch first and warm up with regular walking. Once you start your faster walking pace, try to maintain as much speed as possible for as long as you can. If you get tired, try doing intervals of fast walking followed by short periods of slower walking.
Stepping
Stepping is a great way to get your heart beating and to burn calories. You can use your stairs at home, but for best results I suggest buying specialized stackable step mats and stack them up to at least 15 inches (38 cm).
Do 2 to 3 sets of 20 steps each to begin. Even though you may not feel like the stepping is helping, it is! This exercise will not only help you lose weight but will also help shape up your buttocks and legs.