This task is closely related to very important material about similarity and ratios in geometry.

The purpose of this task is to present students with a context where they need to explain why two simple fractions are equivalent.

This purpose of this task is to help students understand the absolute value of a number as its distance from 0 on the number line. The context is not realistic, nor is meant to be; it is a thought experiment to help students focus on the relative position of numbers on the number line.

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: #### Materials * 10-15 quart plastic bags of various counters (different numbers of counters in each bag) * A recording sheet for the activity with pic...

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: Material * Assorted objects to create the groups * Clear ziplock bags or small cups * Index cards and stickers * An egg timer or a kitchen timer Action...

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: Materials The Napping House by Audrey Wood One ten-frame for each child (see PDF for black line master) 6-10 counters per child Actions The teacher rea...

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: Compare 3 quantities and order them from least to greatest. #### Materials * 5-6 baggies of various items. Each baggie should contain one type of item ...

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: #### Materials * One of the student's shoes to use to compare to other items. * A bin of seven to ten commonly used classroom items, such as a glue bot...

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: Materials Blackline Master Pencil or Crayons Balance Scale Objects to compare (sample list, teacher can use these or other objects like this they have ...

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: Materials Blackline Master Pencil or Crayons Long, skinny objects to compare; for example: a pair of scissors a crayon a glue stick a long, skinny wood...

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: Decompose teen numbers using 10-frames and a number equation. #### Materials * Number cards 11-19 * Pencil, crayon, or marker * Attached student worksh...

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: Adding two numbers to make an equation. #### Materials * One pair of dice per student * A recording sheet for the activity. For example: #### Action Th...

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: Materials * Class white board and one marker * Paper and pencil for students * Materials such as counters or linker cubes * Number lines that go from 0...

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: Materials * Double sided counters * Markers that are the same colors as the counters * Teacher-made “My Book of 5” (see below for detailed directions) ...

In this task students use linear equations to solve a real world problem.

In the middle grades, students have lots of experience analyzing and comparing linear functions using graphs, tables, symbolic expressions, and verbal descriptions. In this task, students may choose a representation that suits them and then reason from within that representation.

The purpose of this task is to give students practice in reading, analyzing, and constructing algebraic expressions, attending to the relationship between the form of an expression and the context from which it arises. The context here is intentionally thin; the point is not to provide a practical application to kitchen floors, but to give a framework that imbues the expressions with an external meaning.

The purpose of this task is to introduce students to exponential growth. While the context presents a classic example of exponential growth, it approaches it from a non-standard point of view. Instead of giving a starting value and asking for subsequent values, it gives an end value and asks about what happened in the past. The simple first question can generate a surprisingly lively discussion as students often think that the algae will grow linearly.