![]() ![]() Since 7/8 is greater than 1/2, you immediately know that 7/8 is more than half. For example, if you have the fraction 7/8, you can compare it to the benchmark fraction 1/2. We typically use fractions such as 1/4, 1/2, and 3/4 as benchmarks because they are straightforward and easy to understand.Ī benchmark fraction can help you compare other fractions. It’s like a friend in the world of fractions. So, what exactly are benchmark fractions? A benchmark fraction is a common fraction that you know well and can visualize easily. Similarly, in the world of fractions, benchmark fractions act as our landmarks, guiding us through comparisons, rounding, and more. If you’re navigating a city, you might use familiar buildings or parks as reference points. Think of benchmark fractions as landmarks on a journey. By comparing a given fraction with a benchmark fraction, we can develop a better understanding of fraction size and relationships. They are often used as ‘benchmarks’ or reference points to help compare and make sense of other fractions. These are fractions that are commonly used and widely recognized, such as 1/2, 1/4, or 3/4. Are you ready to join us on this exciting journey? Let’s go! What Are Benchmark Fractions?īenchmark fractions are key players in the game of fractions. ![]() Just like superheroes have their signature powers, fractions have theirs too, and in the realm of fractions, the benchmark fractions are like the Avengers – they’re the fractions we call upon most frequently, and they always save the day! They help us navigate the often tricky terrain of comparing, understanding, and rounding fractions.Īt Brighterly, we’re not just about learning we’re about making learning an adventure! As we dive deeper into the realm of benchmark fractions, you’ll discover how these fractions are not just numbers, but tools that can unlock a whole new perspective on mathematics. Buckle up and get ready to uncover the secrets of these mathematical marvels! ![]() Thursday Tool School: Understanding Fractions- Par.Welcome to the Brighterly universe of mathematics, where we transform math into a thrilling journey for children! Today, we’re not just learning – we’re embarking on an exhilarating exploration of benchmark fractions.Thursday Tool School: Understanding Fractions- Ben.Transformation Tuesday: Getting Started with Math.What I'm Reading Wednesday: Making Number Talks Ma.Thursday Tool School: Understanding Fractions- Com.Note: The one whole and two half strips are included for reference. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers. Today's resource supports the following Common Core State Standard for Math:ĥ.NF.A.2- Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. See the examples below of how to use fraction strips to compare to a benchmark. Students need lots of opportunities to make the comparisons using fraction tools before being able to make a visual estimation from the formal notation. It's important to note that students don't just develop this understanding without beginning with the conceptual models. Two-sixths is closer to zero, not one whole.) (An understanding that prevents the dreaded one-third plus one-third equals two-sixths because using benchmark fractions will allow students to see that one-half plus one-half equals one whole. It took some time, but I began to notice that my students' understanding of fractions developed into the deeper understanding I had envisioned. Each time I presented a fraction, I posed the question, "Is this fraction closer to zero, one-half, or one whole?" And, I often added, "How do you know?" A few years back, in an effort to try to help my fourth graders really make connections between the value of a fraction and the formal fraction notation, I taught them how to compare the fraction to a benchmark. For some reason, students struggle to understand how to make sense of the value of a fraction. We all know that fraction concepts have plagued our students for many years. This week, I want to talk about using benchmark fractions to better help students make connections between the value of the fraction and the formal fraction notation. Last week, I discussed how to use fraction tools to help students learn to connect a fractional part to the whole and then to the formal fraction notation. ![]()
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