If you've established rules for behavior, it is very important to be consistent about enforcing those rules and following through on consequences. Remember to consistently praise and reward positive behaviors, as well. Establishing a system of rewards is the most effective way to encourage behaviors that you want. Teens, especially, are more concerned about having a private space to call their own. Even if some of your children share rooms, help them build separate personal spaces. Then, communicate rules about respecting personal space to all your children. For instance, if children share a room, you might set up a schedule where each child has the room to themselves to play with friends or do activities for an hour every day. Provide the other child another space to use during this time. If they have separate rooms, you might communicate a rule like "Knock on your sister's/brother's door before entering" to respect each child's personal domain. . Sometimes, kids just want to vent and know that they are being heard. Give them the opportunity to do this in a safe place by demonstrating good listening skills. Don't be so quick to offer a solution or redirect your kids. Let them talk out their problems and see if they'll reach a natural conclusion on their own. Acknowledge and validate their feelings by saying things like "Aww, that sounds difficult" when they complain about sibling frustrations. When you compare your kids to one another, you introduce a need to compete. Every kid has something special and unique about them, so don't measure them up against their siblings or other kids. For example, you shouldn't say, "See, Charlie? Your brother always puts his toys away once he's done with them. Why can't you do that?" A better solution would be to praise the child for cleaning up his toys in hopes that it would reinforce the other child doing the same. Not drawing comparisons is perhaps one of the most effective strategies you can use to help your children get along. Develop a unique bond with each of your children. Then, they won't feel such pressure to compete with their siblings for your attention or adoration. Highlight each child's needs and try to meet them by setting aside one-on-one time with each of them throughout the week. For instance, if you have a creative child, you might sit down to paint or draw with them. Whereas, if you have an athletic child, you might toss a ball around and chat.

Summary: Be consistent with rewards and consequences. Ensure that each child has personal space. Be a good listener Avoid comparing your kids to each other or their peers. Give each child individual attention and love.

In mathematics, a function is a mathematical relationship between numbers, so that you enter one number and another number is the result. Functions can generally be graphed. They may represents straight lines, parabolas, or random-looking curves that have no easy definition. Some sample functions are: y(x)=3x+4{\displaystyle y(x)=3x+4} (the function of a straight line) y(x)=sin(x){\displaystyle y(x)=sin(x)} (a function for a waved line) y(x)=x2{\displaystyle y(x)=x^{2}} (a function for a parabola) Finding the average rate of change of a function means measuring the value of the function at two different points along the x-axis. Select one value of x where you wish to begin measuring, and then determine how far along the axis you wish to advance. Depending on your purposes, you may choose a wider or narrower range of x values to measure. For this exercise, select the first x-value at 0 and the second x-value at 3. Rate of change of the function measures how much the y-values change over the chosen horizontal x-distance. To calculate this change, you need to know the y values at each chosen value of x. For the sample function, y(x)=x2{\displaystyle y(x)=x^{2}}, select the two values x=0 and x=3, for example. The corresponding values of y(x){\displaystyle y(x)}, therefore, are: y(0)=02=0{\displaystyle y(0)=0^{2}=0} y(3)=32=9{\displaystyle y(3)=3^{2}=9} The rate of change of a function can be written formally as: A(x)=yx=f(x+h)f(x)h{\displaystyle A(x)={
rac {\Delta y}{\Delta x}}={
rac {f(x+h)-f(x)}{h}}} In this formula, f(x){\displaystyle f(x)} represents the value of the function at the first chosen x-value. f(x+h){\displaystyle f(x+h)} is the value of the function some distance away at a second value of x. The denominator h{\displaystyle h} is the distance between the two measurements. h{\displaystyle h} can also be represented as x{\displaystyle \Delta x}, since it is the distance or change in the chosen x-values. For the chosen function y(x)=x2{\displaystyle y(x)=x^{2}}, you can calculate the average rate of change from 0 to 3 as follows: A(x)=yx=9030=3{\displaystyle A(x)={
rac {\Delta y}{\Delta x}}={
rac {9-0}{3-0}}=3}. For this function, the rate of change is a measure of how much the value of the function changes vertically as you move horizontally along the x-axis. In this case, the parabola y(x)=x2{\displaystyle y(x)=x^{2}} begins at point (0,0) and climbs to point (3,9) over the measured interval. Although the function itself is not a straight line, the average rate of change is measured as the slope of the straight line connecting those two points. This line climbs 3 units for each single unit increase in x. Note that the average rate of change for a function may differ depending on the location that you choose to measure. For the parabola example, the average rate of change is 3 from x=0 to x=3. However, for the same function measured from x=3 to x=6, also a distance of 3 units, the average rate of change becomes 8.33.
Summary: Know your function. Select values of x. Calculate the values of the function. Calculate the average rate of change of the function. Interpret the result.