Ordering Fractions
(View Complete Item Description)The purpose of this task is to extend students' understanding of fraction comparison.
Material Type: Activity/Lab
The purpose of this task is to extend students' understanding of fraction comparison.
Material Type: Activity/Lab
In this task students compare 4/5 to 5/4 on a number line.
Material Type: Activity/Lab
This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important asects of the task and its potential use. Here are the first few lines of the commentary for this task: Tehya and Kenneth are trying to figure out which number could be placed in the box to make this equation true. Tehya insists that 12 is the only number...
Material Type: Activity/Lab
This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important asects of the task and its potential use. Here are the first few lines of the commentary for this task: Suppose there are 4 tanks and 3 fish in each tank. The total number of fish in this situation can be expressed as $4 \times 3 = 12$. Describe what is m...
Material Type: Activity/Lab
This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important asects of the task and its potential use. Here are the first few lines of the commentary for this task: Presley has 18 markers. Her teacher gives her three boxes and asks her to put an equal number of markers in each box. Anthony has 18 markers. His teach...
Material Type: Activity/Lab
This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important asects of the task and its potential use. Here are the first few lines of the commentary for this task: Mrs. Moore’s third grade class wants to go on a field trip to the science museum. * The cost of the trip is \$245. * The class can earn money by runnin...
Material Type: Activity/Lab
The purpose of this task is to study some patterns in a small addition table. Each pattern identified persists for a larger table and if more time is available for this activity students should be encouraged to explore these patterns in larger tables.
Material Type: Activity/Lab
In this task, the students are not asked to find an answer, but are asked to analyze word problems and explain their thinking. In the process, they are faced with varying ways of thinking about multiplication.
Material Type: Activity/Lab
The first of these word problems is a multiplication problem involving equal-sized groups. The next two reflect the two related division problems, namely, "How many groups?" and "How many in each group?"
Material Type: Activity/Lab
This task requires students to study the make-a-ten strategy that they should already know and use intuitively. In this strategy, knowledge of which sums make a ten, together with some of the properties of addition and subtraction, are used to evaluate sums which are larger than 10.
Material Type: Activity/Lab
The goal of this task is to look for structure and identify patterns and then try to find the mathematical explanation for this. This problem examines the ''checkerboard'' pattern of even and odd numbers in a single digit multiplication table.
Material Type: Activity/Lab
This task uses language, "half of the stamps," that students in Grade 5 will come to associate with multiplication by the fraction 12. In Grade 3, many students will understand half of 120 to mean the number obtained by dividing 120 by 2. For students who are unfamiliar with this language the task provides a preparation for the later understanding that a fraction of a quantity is that fraction times the quantity.
Material Type: Activity/Lab
The goal of this task is to help students understand the commutative property of addition by examining the addition facts for single digit numbers. This is important as it gives students a chance, at a young age, to do more than memorize these arithmetic facts which they will use throughout their education.
Material Type: Activity/Lab
Both of the questions in this task are solved by the division problem 12Ö3 but what happens to the ribbon is different in each case.
Material Type: Activity/Lab
The purpose of this task is for students to "Solve problems involving the four operations" (3.OA.A) and "Draw a scaled picture graph and a scaled bar graph to represent a data set with several categories" (3.MD.3). Additionally, students will engage in MP3, Model with mathematics. In this task students are asked to decide how to spend $1,000 on supplies and materials for their classroom; students will have to make choices and be careful not to exceed the budget. Students are asked to decide which supplies will benefit the class the most and will compare their choices with other students' choices.
Material Type: Activity/Lab
This task is a follow-up task to a first grade task: http://www.illustrativemathematics.org/illustrations/466. On the surface, both tasks can be completed with sound procedural fluency in addition and multiplication. However, these tasks present the opportunity to delve much more deeply into equivalence and strategic use of mathematical properties.
Material Type: Activity/Lab
The purpose of this task is for students to measure lengths to the nearest eighth and quarter-inch and to record that information in a line plot. Both 4th graders and 5th graders use line plots to record measurement data given in fractions of a unit.
Material Type: Activity/Lab
This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important asects of the task and its potential use. Here are the first few lines of the commentary for this task: Letters can be thought of as geometric figures. How many line segments are needed to make the letter A? How many angles are there? Are they acute, obtu...
Material Type: Activity/Lab
This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important asects of the task and its potential use. Here are the first few lines of the commentary for this task: The students in Ms. Sun's class were drawing geometric figures. First she asked them to draw some points, and then she asked them to draw all the line ...
Material Type: Activity/Lab