Comparing Fractions
(View Complete Item Description)The purpose of this task is for students to compare fractions using common numerators and common denominators and to recognize equivalent fractions.
Material Type: Activity/Lab
The purpose of this task is for students to compare fractions using common numerators and common denominators and to recognize equivalent fractions.
Material Type: Activity/Lab
In this task using a number line, students must partition the interval between 0 and 1 into eighths.
Material Type: Activity/Lab
In this task students compare 4/5 to 5/4 on a number line.
Material Type: Activity/Lab
Students practice rounding whole numbers with this task.
Material Type: Activity/Lab
This task serves as a bridge between understanding place-value and using strategies based on place-value structure for addition.
Material Type: Activity/Lab
In this video segment from Cyberchase, Inez and Lucky figure out how to keep track of the number of clones as they continue to multiply.
Material Type: Lecture
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
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 CyberSquad must divide 35 candies evenly among seven gargoyles in this video segment from Cyberchase.
Material Type: Lecture
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
Students who work on this task will benefit in seeing that given a quantity, there is often more than one way to represent it, which is a precursor to understanding the concept of equivalent expressions.
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
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
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
The purpose of this task is to give 4th grade students a problem involving an unknown quantity that has a clear visual representation. Students must understand that the four interior angles of a rectangle are all right angles and that right angles have a measure of 90_ and that angle measure is additive.
Material Type: Activity/Lab
The purpose of this task is to help students understand and articulate the reasons for the steps in the usual algorithm for converting a mixed number into an equivalent fraction.
Material Type: Activity/Lab
This task highlights a slightly different aspect of place value as it relates to decimal notation. More than simply being comfortable with decimal notation, the point is for students to be able to move fluidly between and among the different ways that a single value can be represented and to understand the relative size of the numbers in each place.
Material Type: Activity/Lab
The goal of this task is to provide examples for comparing two fractions by finding a benchmark fraction which lies in between the two.
Material Type: Activity/Lab
The purpose of this task is for students to compare two fractions that arise in a context. Because the fractions are equal, students need to be able to explain how they know that.
Material Type: Activity/Lab