Fractions is a subject that causes a lot of frustration for students and teachers alike.
It’s a more abstract idea than previous subjects that most students have seen to that point. Parents sometimes feel at a loss trying to help their students understand this concept that can bring their child to tears. The following is an example of how fractions can be taught at home in a way that is hands-on and fun. Please note: this method of teaching is a process. It doesn’t have to happen all at once. This entire process can be done over the course of a week or two, and portions of it can be repeated in various ways until the concepts are adequately understood.
When introducing my kids to fractions, I like to begin with a recipe.
Recipes
are a great way to get children interested in fractions, while also teaching
practical life skills. This is a simple Playdoh
recipe that is lots of fun for kids, or if you prefer to use something premade,
you can find it inexpensively here.
The advantage to making it at the start of this exercise is it demonstrates
some of the different forms fractions can come in.
If
making playdoh from scratch (or another other baking recipe), I like to begin
with a larger glass measuring
cup, as well as some smaller individual measuring cups. Show the students
how 2- ½ cups fit into a 1cup, 4- ¼ cups fit into a 1cup, etc. Then, you can progress
to the glass measuring cup and show the students how measuring with the smaller
amounts into the large glass measuring cup reflects the label on the side of
the glass measuring cup. Talk about doubling recipes and how that changes the measuring
cups you use. Show them what that looks like. It doesn’t matter if they don’t
remember everything at this point. You’re introducing the ideas and will come
back to it again later. Completing this exercise in multiple forms (making
cookies, banana bread, etc.) will help it become solidified in their minds.
This is a good place to take a break for the
day.
Follow
the recipe to make your playdoh. This is a good opportunity to discuss the
importance of following a recipe (or any other directions) correctly, because
failure to do so can result in a product that isn’t usable/edible. Even if we
don’t understand the reason for certain instructions, it is important to follow
them as best you can, especially if they come from parents or other authority
figures.
Or,
if your student is anxious to continue, you can play with the playdoh until
they get bored. I encourage you to let them keep some playdoh in their hands to
play with as you’re talking to them about fractions. The more the lesson comes
across as play (with a little bit of learning mixed in), the more engaged they
will be. Let them play with the playdoh. Make some shapes with them. Take time
to enjoy the process. Everyone’s stress level should be low- if it’s high, that
means it’s time to take a break for the day.
When you’re ready to continue, make some playdoh balls that are approximately the same size. Use different colors if you have them. Flatten them out, and cut them into equal sections (as shown), and explain fractions as being a description of the number of pieces being used of a whole. 3/3 represents 1 whole piece circle (it’s all the same color), but if 1/3 of the pieces are replaced with a different color, that means 2/3 of the circle (two pieces) are unchanged. You can also describe it using the analogy of a pizza. Something like, “If your pizza is cut into 6 pieces but there are 12 people at the table, you would cut the pizza slices smaller so that everyone could have some, but the size of the pizza doesn’t change, only the size of the slices- right?”
Let
the student(s) play with moving pieces around from the circles. Have the compare
the pieces from circles cut different ways, or let them try to fit a larger
piece (1/4), into a smaller piece (1/6) or vice versa. None of this should be rushed.
Children learn as they play.
When you are ready to introduce adding fractions, show them the relevance of the common denominator. The goal of the common denominator is to make pieces that are all the same size so you can accurately assess the new amount. By cutting the circles in a way that all the pieces are equal, the sections can be added together and then reduced as necessary.
If anyone is starting to get frustrated, take a break and try again in a day or two.
This
is a small habit to implement, but it will help to keep the learning atmosphere
light and fun, so learning happens more easily. Forcing things to happen will
frustrate everyone and make learning more difficult.
These
exercises can be repeated, in part or in whole, as often as needed to help get
the student comfortable with fractions and manipulating them. It can also be
repeated with cookies, pizza, or a whiteboard and markers. Ideally, repeat the
same exercises in a variety of different ways to help keep it engaging. If the
student is able to explain the subject matter back to you as if they are
teaching it, they have a good foundational understanding of the material.
If you'd like ideas on how to teach other subjects in an engaging way, comment below with your request.
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