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The Importance of Purpose

The Importance of Purpose

The Importance of Purpose

 

In my experience, there’s one commonly forgotten piece of learning when it comes to young learners: why. It’s a bit strange to think we have to explain ourselves to kids and why they have to learn something. After all, we are adults and we know what is best for our children. However, children see things differently. Children understand when they are being respected and when they are not being respected.Treat a child like a child, and you will find yourself with a rebel. Show them some equality and treat them as if they were individuals with their own opinions, and you’ll find yourself with a way better attitude for success. 

 

If a child is unsure of the purpose of learning something they’re less likely to recall that information in the future. It’s important to reinforce the purpose of what they are learning in terms they can understand, and the first step of that is to make sure you treat them like individuals with their own feelings and ideas. A simple way of doing this is to show them the “why” for something they need to do.

 

About 6 years ago, I had an unruly classroom of first graders. It was my first time teaching an age group that young and I couldn’t get them to go along with the flow of the lesson, or even encourage participation until I spoke to some colleagues about it. They helped me to establish a goal-oriented learning lesson structure. This goal was part of the “Why” these kids needed, and once I began explaining why they were learning something, their participation shot through the roof. No more classroom disruptions, and almost 100% participation from the class. I pushed this style of lesson design towards all of my future classes in every grade I’ve taught, and I’ve seen the same results in them as well. If it works on a room of 30 kids, it’ll definitely work even better on your kids.

 

When you are starting something new with your child, always ask yourself: “Why does my child need this?” or “Why does my child have to learn this?”. Odds are if you can’t answer that question, neither can they. Additionally, if you are able to answer the question, think to yourself whether or not your explanation can be applied to and understood by your child.

 

Let’s take percentages as an example.

 

There are two types of ways to explain something to your children. The most common one I see parents try is explaining something by how they understand it. The less common one is to explain something by how their children can understand it.

 

One reason it’s important to learn percentages is to understand tax and the extra amount of money you pay when purchasing something. However, when explaining percentages to your child using taxes, you’ve introduced another new concept to them: taxes. You’ll end up overcomplicating the topic and probably send them further into confusion. This is an example of an adult explaining something by how they understand it.

 

Now, another way you could explain it: it’s pretty common for your child to have tests in school. If you explain that percentages are how much out of everything they got correct or incorrect is, then it is a relatable and easy to understand example for your children. This is an example of an explanation that can be used for your child because first, it’s relatable to them: they take tests. Second, it’s simple to understand : how much of the whole is defined by something (IE Correct or Incorrect). You can use this as the starting point and can deepen understanding of the concept of percentages by having your kids point out what percentages they see in day to day life, such as in the supermarket and asking them to identify what each percentage represents.

 

When you take the time to teach your children, it’s important to not just give them a worksheet and say good luck. It’s also important to not just tell them to learn something for the sake of learning. Instead, make sure your child understands what they are learning by adding some of the why they are learning. Part of the responsibility lies on you for encouraging their success by making sure you package what they are learning into something they can relate to and also maybe even take an interest in it. Try it out with your kids and see how their attitudes change!

The Importance of Purpose

Finding Perimeter (Part 1)

 

Starting from the first grade and up, your child will be exposed to area and perimeter. Area and perimeter problems are divided into multiple types of problems but the one they will most likely see first are grid format perimeter problems. 

 

Perimeter refers to the length of a line that encloses a shape. In other words, it’s the length of all sides of a shape. There are a variety of formulas that can be remembered to speed up the process of calculating perimeter early-on, but once your child reaches a certain stage, those formulas will actually complicate the problem and make the solution much more difficult to find. We recommend teaching them one simple method of finding perimeter: 

Add all the lengths of the sides together. 

This can be performed early-on when your child is just learning perimeter, and also applied in the future when they encounter much more complex perimeter problems.

 

Perimeter problems are subdivided into multiple categories, but since this is the first step in getting your child to become an expert in learning perimeter, we’ll go over the most basic form – grid format perimeter problems.

 

A grid format perimeter problem refers to a problem that has a shape with grids. Each box within the grid denotes a single unit of length. Look at the example below to get a better idea:

 

 

From this one example, there are a variety of questions that can be asked. We’ll go over each 

one together.

 

Problem Type 1)

Find the lengths of all sides, and then the perimeter of the shape.

 

This problem has two steps that need to be completed: First, the length of the sides needs to be found, then you can use those numbers to find the perimeter.

 

 

To find the length of a side when you have a grid, all you have to do is count the grid squares attached to each side. We’ve colored the corners with 2 colors to show that they apply for the lengths of both sides they are attached to.

 

 

Once you finish counting, then you should have the length of each side

 

 

Now you just take each length and all them all together.

 

 

Problem Type 2) Missing Length Perimeter Grid

Find the length of the missing side, then find the perimeter of the shape.

 

This problem differs slightly from the first problem type in that you are given some of the side lengths, but not all. The common approach most people take to this is “The lengths of the horizontal lines are equal, and the lengths of the vertical lines are equal” which is actually an ideal approach as it will help to set your child up for more difficult problems in the future. 

 

This problem, like the one above, has two steps: first, find the length of the missing side, and then you can find the perimeter.

 

 

Your child can take two approaches here:

  1. Count the grid boxes and find the length of the side (like we did above)
  2. Use the equal sides rule

 

Since we’ve already covered how to do approach one, let’s look at approach 2 in this problem.

 

Because we know this shape is a rectangle, and rectangles have equal heights and lengths, we can apply that knowledge to define the missing lengths.

 

We are given a height of 8 and a length of 13, so we know the missing height and missing length should also be the same respective numbers, giving us this solution below:

 

 

Then we follow the same steps by adding up the lengths of all sides, and we should find our perimeter

 

 

Problem Type 3) Just Finding Perimeter

The last problem is relatively simple compared to the other two. The problem is already set up so that your child has the length of all sides and they would just need to add up all the length values to find the perimeter.

 

 

Perimeter problem types are not just limited to the ones we have shown here. Over the course of the next few blog posts, we’ll be posting about more difficult and complex perimeter problems.

 

Check out our worksheet below for more practice with your child!

Grid Perimeter Worksheet

Grid Perimeter Worksheet – Answer Key