### Our curriculum is spiral

Please note that our virtual Singapore Math Grade 2 curriculum is spiral and it provides for the review and practice of the important concepts that students learned in Grade 1. Our online K-5 curriculum is aligned with all standard Singapore Math textbook series and it includes all content that these series cover, from Kindergarten through fifth grade.

Our Singapore Math for 2nd grade may introduce some topics one grade level earlier or postpone coverage of some topics until Grade 3. In the few instances where 2nd grade level units don’t exactly align between our curriculum and textbooks, you will still be able to easily locate the corresponding unit in our program by referring to the table of contents one grade below or above. ## Correspondence to 2A and 2B

For your reference, the following topics in our curriculum correspond to Singapore Math practice Grade 2 in levels 2A and 2B:

### Singapore Math 2a

Review of addition and subtraction within 20, working with equal groups, numbers to 1,000, adding and subtracting within 100, adding within 1,000, subtracting within 1,000, and solving word problems involving addition and subtraction.

### Singapore Math 2b

Metric measurement of length, customary measurement of length, time, money, representing and interpreting data, and reasoning with shapes.

### Student prior knowledge

Prior to starting Singapore Math Grade 2, students should already know that numbers have order, view a group of objects as a unit and how to count within 120, add and subtract within 100. The initial lessons in the Singapore Math second grade are both a review and an extension of content covered in the prior grade that includes relating 2-digit number numbers to the place-value concept and 2-digit numbers as tens and ones. Students will use number words, number bonds and place value chart to represent numbers in multiple ways.

## 2nd Grade Singapore Math Scope and Sequence

• Addition And Subtraction Within 20

This unit covers a review of mental math. Students will add and subtract numbers to 20 mentally using the strategies they learned in Grade 1. Students will review composing and decomposing numbers using number bonds, making or breaking ten, adding to a ten or subtracting from a ten. Making and breaking 10 are foundational skills that support mathematical concepts of place value, standard algorithm and algebraic thinking.

• Working With Equal Groups

This unit covers odd and even numbers and repeated addition. Students were introduced to the concept of repeated addition in Grade 1. Repeated addition is used to prepare students for learning the concept of multiplication, which is also associated with a part-whole model for the given number of equal parts and the number in each part. The emphasis in this unit is on understanding the concept of repeated addition.

• Numbers To 1,000

This unit covers 3-digit numbers, comparing 3-digit numbers, and counting within 1,000. Students will build and extend their knowledge and skills working with two-digit and three-digit numbers. Students will see multiple representations of numbers using number words, number bonds, and place value charts.

• Adding And Subtracting Within 100

This unit reviews and extends student knowledge of subtraction without regrouping to 40, subtraction with regrouping to 40, subtracting within 100 without regrouping, subtracting within 100 with regrouping, solving word problems with numbers to 100, adding up to four 2-digit numbers, mental math of addition and subtraction within 100. Students will review and learn to add and subtract one- and two-digit numbers from two-digit numbers within 40. Solving problems with bar modeling are included to help students understand relationships among quantities in word problems and what operations to use to solve these problems. While numbers are fairly small some students may find them easy. However, the main goal here is for students to learn new strategies for solving word problems.

This unit covers strategies to add within 1,000, adding without regrouping, and adding with regrouping. Students will learn the standard algorithm by extending their knowledge of mental math strategies of addition and subtraction. Students will view multiple representations of numbers that include number bonds and place value charts to enrich their conceptual understanding of the vertical algorithm as they gain procedural fluency.

• Subtracting Within 1,000

This unit covers strategies to subtract within 1,000, subtracting without regrouping, subtracting with regrouping, and meaning of sum and difference. Students will learn to subtract within 1,000 without regrouping and with regrouping. They will continue to work on these algorithms in units on length and weight. Students will learn to recognize that the line in the vertical algorithm corresponds to the equal sign.

• Solving Word Problems Addition And Subtraction

This unit covers solving addition and subtraction problems within 100 using part-whole models, solving addition and subtraction problems within 1,000 using comparison models, and solving one- and two-step word problems involving addition and subtraction within 1,000. Students will use bar models to solve word problems involving situations of adding to, taking from, putting together, taking apart, and comparing with unknown quantities in different positions.

• Metric Measurement Of Length

This unit covers measuring and comparing lengths in meters, measuring and comparing lengths in centimeters, and solving word problems involving metric length. Students will learn standard units of measurement to both measure and compare lengths using centimeters and meters.

• Customary Measurement Of Length

This unit covers measuring and comparing lengths in feet, measuring and comparing lengths in inches, comparing inches and feet, and solving word problems involving customary length. Students will learn standard units of measurement to both measure and compare lengths using inches and feet.

• Time

This unit covers telling and writing Time and using A.M. and P.M. In this unit, students will build on their knowledge from Singapore Math Grade 1 by learning to tell time to the minute, find elapsed time in minutes within 1 hour, and in hours given the start time and end time.

• Money

This unit covers penny, nickel, dime, and quarter, counting money, adding and subtracting money, coins and bills, and word problems involving money. In this unit, students will build on their knowledge from Singapore Math 1B to work with dollars and cents at the same time.

• Representing And Interpreting Data

This unit covers line plots, picture graphs and bar graphs. Students will learn about bar graphs, simple picture graphs with a scale, line plots. Students will be able to interpret picture graphs, simple bar graphs and line plots.

• Reasoning With Shapes

This unit covers plane shapes, making patterns with plane shapes, solid shapes, flat and curved surfaces and making patterns with solid shapes. Students will learn to identify and count common two-dimensional shapes, including quadrilaterals, triangles, pentagons, hexagons, and octagons. Students will also learn to combine shapes to make new shapes, divide a shape into common shapes, make shapes with straight and curved lines, half and quarter circles.