Visual models are excellent teaching tools when explaining equivalent fractions. Looking at a rectangle cut into twelfths, students first identify the shaded fraction, and then explain whether the fraction is equal to one-fourth....

Visual models are a great tool for demonstrating the concept of equivalent fractions. Given two pictures, young mathematicians first identify each fraction and then write an explanation for why they are equivalent. Use as a guided...

Learning to add fractions with different denominators presents a big hurdle for many young mathematicians. Simplify the process for learners with this series of practice problems involving the friendly fractions tenths and hundredths....

Learners compare three sets of fractions using the greater than, less than, and equal signs. To justify their answers, a drawing is also required that illustrates their reasoning. Including fractions with like and unlike denominators, as...

Help your fourth graders make cents out of fractions and decimals with this short word problem. After learning that dimes are one-tenth and pennies one-hundredth of a dollar, students write a fraction and decimal for a given number...

Trying to get your class to think of decimals as fractions and vice versa can lead to interesting discussions. After all, we can usually understand quickly that 1/4 is .25 but why is 1/7 not so easy to convert? This activity looks...

Now that the practice is over, see if young mathematicians can utilize their new skills on finding common denominators and adding fractions. The assessment contains one map challenge and follows with skills practice. 

A simple lesson with a lot of support behind it. Your learners will find out how long it takes Molly to run a mile by choosing their solution method. The activity can be used as a lesson or as an independent assignment. Preface with...

An excellent activity that effectively pulls together the concepts of area, fractions, and equivalent fractions! Using 3x2 rectangular arrays, 3rd graders are introduced to the concept of area in terms of square units. Building on this...

It's a snow day, and two brothers attending schools with different schedules each got a late start to the day. But who had the shorter school day? That's what your class will find out as they apply their knowledge of fractions to this...

Let's use math to solve an argument. Jon and Charlie are debating about who can run farther, but who is right? That's what your class will figure out as they apply their understanding of fractions to this real-life situation. A simple,...

Geometric shapes make great visual models for introducing young mathematicians to the concept of fractions. Looking at a series of four circles, learners are asked to determine whether or not one half of each circle is shaded. To support...

This short problem with representing fractions on a number line is more than meets the eye. Labeled only with the numbers zero and 1/4, a number line is used to locate the fraction 2/3. A solution can be found in multiple ways, but young...

Here is another opportunity for math students to apply reasoning to solve real-world problems with ratios. The ratio of the number of votes for two candidates is provided. Your class is asked to use this ratio and information given about...

Playing with values in this fruit salad problem allows learners to find out how many cherries were mixed in. Your middle schoolers can organize their thoughts in a chart before going into the equation. Eigth graders can skip the chart...

Jim and Jesse started their road trip with the same amount of money. Your class must find the amount of money each one had given, the amount of money spent, and the ratio of money at the end. This is a comprehensive problem that...

It is up to the learner to find the amount of juice originally in a bottle, knowing what fraction of the juice is left, and the amount that has been consumed. The accompanying commentary provides a useful and detailed description of...

Find the best protein-packed cereal. The short assessment task covers equivalent and comparing ratios within a context. Pupils determine the cereal with the highest ratio of protein. A rubric helps teachers with point allotments for...

There is more than one way to add mixed numbers. This worksheet asks 5th graders to find and record two ways. The purpose is to help pupils realize there are different ways to reach a common solution in math. The two most common ways are...

How much can a cat eat? The five-question fraction assessment asks pupils to determine the fractional portion of a food box eaten by cats. Learners show their proficiency in adding and subtracting fractions using several scenarios...

It is all about being equivalent. Class members convert between fractions, decimals, and percents. By using visual models, scholars verify their conversions in the 25th portion of a 29-part series.

It's time to crack open that piggy bank and see what's inside. First, count up the pennies, nickels, dimes, and quarters, identifying what fraction of them are dimes. Then calculate the total value of the coins, writing another fraction...

There is more than one way to determine a sum. Scholars demonstrate their understanding of the decomposition of fractions similar to the decomposition of whole numbers. The short task requires pupils to determine which sums of fractions...

Why is six-tenths equivalent to sixty-hundredths? This is the question learners are tasked to explain in writing as well as with a picture.