So, each green triangle is one half of the rhombus. In problem one, students will find out that 2 green pattern block triangles make a blue rhombus. This is a good time to bring out the pattern block shapes. When introducing how to write a fraction using numbers, I focus A LOT on talking about how many pieces are in the whole. After going through these two levels of equal sharing problem and practicing writing fractions in words, I begin introducing how to write fractions using numbers. One pie is larger than the other, so three friends (4-6) will actually get more pie. Yes, both pies are cut into thirds, but the friends will not get the same amount of pie. This exit ticket should bring an interesting conversation from students. Below is an example exit ticket to give students. In problem four, each friend gets three fourths chocolate bar. In problem three, each friend gets two sixths or one third pizza. In problem two, each friend gets two thirds chocolate bar. This is a good time to discuss how one half and two fourths are the same. For example, in problem one, one group might say that each friend gets one half pizza and another group might say each friend gets two fourths pizza. Again, this is a good time for students to practice naming each part. Students think it’s fun when there is more than one way to find the answer, so I make sure the groups have time to share how they solved he problems. Look at the examples & exit ticket below. It is very important that students understand the items that are shared must be the same size and shape. When students have mastered equal sharing problems that involve one item I move on to sharing problems with more than one item. You will find a practice sheet in the free download at the end of this post. If students do not do well on this exit ticket they need extra practice partitioning circles, squares, and rectangles. The following question can be used as an exit ticket to see if students have an understanding of equal parts. Below is a mini-anchor chart I drew in a notebook. Students can copy the anchor chart inside their math notebook, so they can refer to their mini-anchor chart as needed. It seems very simple, but some students will be confused as to how you can ‘cut’ a circle, rectangle, or square into equal parts unless they have plenty of practice. This is a perfect time to create an anchor chart that will display fractions using area models. In problem three, the friends get one out of four pieces or “one fourth”. We then move on to problem two where Isabela, Brandon, and Carlos each get one out of three pieces or “one third”. They cut the cookie in half, so each student gets….”one half”. This is when we start talking about how each piece has a special name. Students will say Amy and Olivia each get one piece each. We make sure that when we are partitioning the circles/rectangles (cookies/pies/bars) that the pieces are all the same size. It is during this time that we start talking about what partitioning means and how important it is for each piece to be of equal size. It helps if you have a circle cutout and not just the drawing. After students work out the problem, we share and try a few more in groups. Students have to show me how the girls would share the cookie. I do not mention the vocabulary words numerator or denominator just yet. I start teaching fractions with problems like this one. It’s best if students start learning about fractions by using equal sharing problems. The first standard is 3.NF.1…Ĭonfusing, right? So, what I understand from this is that students need to know that a fraction is made when a whole is broken/cut/partitioned into equal parts. Let’s start by looking at the fractions domain. I’ve taught third grade for 5 years and am still learning, so please do comment with your opinions. I have decided to start a new blog series where I will do my best to look at each standard and explain what it means, what it looks like, and how to best teach it to students so they will build a deep understanding. I am sure many of you will agree that looking at the common core math standards can be confusing at times.
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