The purpose of this task is to help students understand the connection between counting and cardinality. Thus, oral counting and recording the number in digit form are the most important aspects of this activity. However, teachers can extend this by making a bar graph about how many students are wearing the color each day.
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
This task is meant to address a common error that students make, namely, that they represent fractions with different wholes when they need to compare them. This task is meant to generate classroom discussion related to comparing fractions. Particularly important is that students understand that when you compare fractions, you implicitly always have the same whole.
Material Type: Activity/Lab
These word problems involve multiplicative comparison.
Material Type: Activity/Lab
The purpose of this task is to generate a classroom discussion that helps students synthesize what they have learned about multiplication in previous grades.
Material Type: Activity/Lab
The purpose of this task is to help develop students' understanding of addition of fractions; it is intended as an instructional task.
Material Type: Activity/Lab
The focus of this task is on understanding that fractions, in an explicit context, are fractions of a specific whole. In this problem there are three different wholes: the medium pizza, the large pizza, and the two pizzas taken together.
Material Type: Activity/Lab
The purpose of this task is for students to compare a number and its product with other numbers that are greater than and less than one.
Material Type: Activity/Lab
In this task students are required to compare numbers that are identified by word names and not just digits. The order of the numbers described in words are intentionally placed in a different order than their base-ten counterparts so that students need to think carefully about the value of the numbers.
Material Type: Activity/Lab
In this task students are required to compare numbers that are identified by word names and not just digits. The order of the numbers described in words are intentionally placed in a different order than their base-ten counterparts so that students need to think carefully about the value of the numbers.
Material Type: Activity/Lab
The purpose of this task is to have students think about the meaning of multiplying a number by a fraction, and to use this understanding of fraction multiplication to make sense of the commutative property of multiplication in the case of fractions.
Material Type: Activity/Lab
This task gives students word problems with a given a set of a specified size and a specified number of subsets. The questions ask the student to find out the size of each of the subsets.
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
Students practice crossing from one family to the next in counting forward with this concentration game.
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 aspects of the task and its potential use.
Material Type: Activity/Lab
This task supports students in correctly writing numbers. Because students have to trace the number, instead of coloring in a bubble with the number in it or circling the correct number, they gain handwriting practice as well as counting and addition practice.
Material Type: Activity/Lab
This task helps students understand the relationship between digit placement and the value of a number.
Material Type: Activity/Lab
This task requires students to think of dimes and pennies as fractions of dollars.
Material Type: Activity/Lab
This task requires students to recognize both "number of groups unknown" and "group size unknown" division problems in the context of a whole number divided by a unit fraction.
Material Type: Activity/Lab
These word problems address common errors that students make when adding fractions.
Material Type: Activity/Lab
