## Contents

Connections to the 3 Curriculum Threads

Featured Standards for Mathematical Practice

## Connections to the 3 Curriculum Threads

Learn more about the 3 Curriculum Threads

**Operations: **Understanding the invariance of length of an object regardless of an its position relative to a measuring tool helps prepare students for work in operations and algebraic thinking (for example, when comparing the expressions 2+8 and 1+8+2, students will understand in later grades that the 8+2 in the second expression is equal to the first expression because it represents the same combination of distances on the number line).

**Number: **We use number/quantity vocabulary to represent some measurable attributes of objects. Specific vocabulary can quantify and describe attributes of objects.

**Equivalence: **This unit will help us identify objects’ equivalency based on attributes. This unit will answer questions like: How are objects different? How are they the same? This unit uses certain language to describe attribute equivalencies and non equivalencies. Students will also discover that an object is equal to itself regardless of its orientation (its attributes do not change).

## Content Standards Addressed

### K.MD.A: Describe and compare measurable attributes.

**K.MD.A.1: **Describe measurable attributes of objects, such as length or weight. Describe several measurable attributes of a single object.

**K.MD.A.2: **Directly compare two objects with a measurable attribute in common, to see which object has ""more of"" / ""less of"" the attribute

## Featured Standards for Mathematical Practice

**S.MP.3. Construct viable arguments and critique the reasoning of others.** Students will use mathematical language to justify their conclusions.

**S.MP.5. Use appropriate tools strategically.** Students will use mathematical tools to compare lengths.

## Major Representations Used

Pattern blocks

Various objects or pictures of objects with different lengths, widths, heights, and, weights

String

Paper

## Common Misconceptions

- Some students believe that objects change if their orientation or position changes. This unit will stress that objects can be rearranged for better comparison and even if they are moved again.
- Measurement with tools can be imprecise if not done accurately and with attention to precision. Students may think that measurement starts at any point of the object. Students should practice measuring from one endpoint of an object to get a precise measurement.