This opening section gives teachers opportunities to assess students’ fluency with addition and subtraction facts within 10 and monitor how students approach adding and subtracting.

The first several lessons focus on making a ten as a strategy to add and subtract, which helps students gain fluency with facts within 20 and supports the work with larger numbers such as composing...

Students have previously represented and reasoned about quantities in story problems. In grade 1, students compared quantities using diagrams with discrete partitions. In the previous section, they reasoned about quantities in bar graphs. Here students learn to use tape diagrams as another way to make sense of the relationship between two quantities and between addition and subtraction.

Students explore Compare...

In this section, students explore situations and problems that involve categorical data and learn new ways to represent such data.

Students begin by representing data about their class in a way that makes sense to them. Then they are introduced to picture graphs and bar graphs. Students learn the conventions of these graphs as they create them. They discuss the...