## Grade 1 Math: Measurement and Data

### Measuring Length: Concepts

In this lesson, students begin to learn about the concept of measuring length. We measure length to determine how long something is. To measure the length of an object, we must compare it to the length of another object. In this lesson, objects like paperclips are used to measure the length of longer objects, like envelopes. The length of an object like an envelope is measured in terms of the number of paper clips that are the same length as the envelope.

In the problems in this lesson, students measure longer objects like envelopes with shorter objects like paper clips and indicate the length in number of the shorter units.

### Compare Data: Pictures

In this lesson, students learn how to compare data from pictures of objects. From a picture that includes four types of objects, students determine which object occurs most often and least often. They are given a picture with four types of objects and they must identify either the object that occurs most frequently in the picture or least frequently.

### Compare Data: Graphs

In this lesson, students begin to learn how to compare data using graphs. The first type of graph is a picture graph. It shows the frequency of four types of objects. Each picture in the graph represents one, or some other specified number of items of each type represented. The second type of graph is a tally graph, and can be used to show the same kind of information about the frequency of certain types of items. Each tally represents one item of each type represented in the graph. The third type of graph is a bar graph. The frequency of items is shown as the height of bars in the graph.

Each type of graph is used to answer questions about the objects shown in the graph. In the problems in this lesson, students are given one of the three types of graphs and asked to indicate which item represented occurs the most often or the least often.

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