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
The purpose of this task is to address the concept of opportunity cost through a real world context involving money.
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
This version of Go Fish allows students to practice recognizing and saying the teen numbers.
Material Type: Activity/Lab
This series of word problems requires students to determine which problems can be solved by multiplying 1/8_2/5.
Material Type: Activity/Lab
This task presents an incomplete problem and asks students to choose numbers to subtract (subtrahends) so that the resulting problem requires different types of regrouping. This way students have to recognize the pattern and not just follow a memorized algorithm--in other words, they have to think about what happens in the subtraction process when we regroup. This task is appropriate to use after students have learned the standard US algorithm.
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 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
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
This task asks students to write and interpret a given expression.
Material Type: Activity/Lab
This problem asks the student to evaluate six numerical expressions that contain the same integers and operations yet have differing results due to placement of parentheses. It helps students see the purpose of using parentheses.
Material Type: Activity/Lab
When a division problem involving whole numbers does not result in a whole number quotient, it is important for students to be able to decide whether the context requires the result to be reported as a whole number with remainder or a mixed number.
Material Type: Activity/Lab
In this task students see different ways of partitioning a circle and a rectangle into two or more equal shares.
Material Type: Activity/Lab
In this task students compare 4/5 to 5/4 on a number line.
Material Type: Activity/Lab
In this activity students compare objects and practice determining which objects are heavier and lighter.
Material Type: Activity/Lab
This problem allows students to see words that can describe the expression. Additionally , the words (add, sum) and (product, multiply) are all strategically used so that the student can see that these words have related meanings.
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
