The big ideas in Grade 2 include • extending understanding of the base-ten system; • building fluency with addition and subtraction; • solving problems using understanding of place value and properties of addition and subtraction.

This blueprint could start at any of the three units without prerequisites: 2.1 How Long is it?, 2.3 Multiples of a Hundred, and 2.6 Analyzing Shapes. We chose the first of these as the starting point to ensure that students have early access to the number line.

Students begin their work in second grade by measuring length in standard units and using the concept of length to represent whole numbers on the number line.

Next, they revisit the work they did in first grade with addition and subtraction, which maximizes the time students have to develop fluency with these operations. They use addition and subtraction to solve one- and two-step word problems, including word problems involving pennies and dimes, and word problems involving lengths measured in the same units.

Students build on foundations laid in Kindergarten and first grade to deepen their understanding of place-value. They extend their understanding of numbers into the hundreds and compare three-digit numbers based on how many hundreds, tens, and ones there are, and they add and subtract within 1000.

Next, students skip-count and work with equal sized sets in order to lay the foundations for work with multiplication in third grade. The purpose of the work that students do with shapes is to help lay the foundations for fractions and future work in geometry. In addition, partitioning circles into halves and fourths will help students tell time on an analog clock.

Note that this course blueprint is only one of many possible ways of arranging a sequence of topics designed to achieve the standards. It is a continually evolving document and we welcome your comments here.

Units

2.1 How Long is it?

Summary

In this unit students

•  use tools to measure length;
•  estimate length;
•  represent length measurements in a line plot;
•  representing numbers on a number line.

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2.2 Adding and Subtracting within 100.

Summary

In this unit students

•  work toward fluency with adding and subtracting within 100, mentally within 20;
•  use number lines to represent sums and differences within 100;
•  understand and explain addition and subtraction strategies;
•  solve one- and two-step word problems, including word problems involving pennies and dimes, and using information represented in picture and bar graphs.

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2.3 Multiples of a Hundred

Summary

In this unit students

•  understand hundreds, tens, and ones and skip count by 5s, 10s, and 100s;
•  read and write numbers to 1000 and compare three digit numbers using symbols;
•  develop and use addition and subtraction using strategies based on place value;
•  mentally add and subtract 10 or 100 to multiples of 10 or 100;
•  understand dollars as 100 pennies and 10 dimes.

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2.4 Adding and Subtracting within 1000

Summary

In this unit students

•  work toward fluency with adding and subtracting within 100, mentally within 20;
•  mentally add and subtract 10 or 100 to any number;
•  add and subtract within 1000 using strategies based on place value and properties of operations;
•  understand and explain addition and subtraction strategies;
•  solve one- and two-step word problems, including word problems involving dollars and cents.

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2.5 Working With Equal Groups

Summary

In this unit students

•  understand and reason about odd and even numbers;
•  work with equal groups and rectangular arrays, using addition to find the total number of objects;
•  partition rectangles into rows and columns of squares and count to find the total number of squares;
•  understand nickels as groups of 5 pennies and quarters as groups of 5 nickels, and solve word problems involving money.

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2.6 Analyzing Shapes

Summary

In this unit students

•  recognize and draw shapes based on the number of sides or angles;
•  partition circles and rectangles into equal shares;
•  understand quarters as one-fourth of a dollar.

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2.7 Telling Time

Summary

In this unit students use analog and digital clocks to tell and write time, understanding a.m and p.m.

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