# Mathematics

## What Do Students Learn in 2nd Grade Math?

Fishtank Math for 2nd Grade is new for the 2024-25 school year. This is a pilot year for this content, and we will continue to refine it in the coming years. Two additional units will be added to the 2nd Grade Math sequence this fall:

• Unit 6: Shapes, Telling Time, and Measurement, Part 2 (Releasing September 1, 2024)
• Unit 7: Working with Equal Groups (Releasing October 1, 2024)

2nd Grade Math focuses on four critical areas: (1) extending understanding of base-ten notation; (2) building fluency with addition and subtraction; (3) using standard units of measure; and (4) describing and analyzing shapes.

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## Units

Unit 1

15 Lessons

### Adding and Subtracting Within 20

Students extend their knowledge of addition and subtraction within 20 to fluently add and subtract within 20 using various strategies. This work is put into practice as students solve familiar word problem types using tape diagrams and equations to represent what is happening mathematically.

Unit 2

21 Lessons

### Adding and Subtracting Within 100

Students develop strategies based on place value, properties of operations, and the operational relationship between addition and subtraction to add and subtract within 100 fluently. Students will use these strategies to add up to four two-digit numbers and explain why these strategies work. Students also explore categorical data.

Unit 3

13 Lessons

### Measurement

Students develop the foundational skills of measuring length by exploring metric measurement and develop the understanding of number lines and measurement data with line plots.

Unit 4

22 Lessons

### Place Value with Numbers to 1,000 & Money

Students extend their place value knowledge to 1,000 and use this knowledge to represent and compare three-digit numbers. Students are also introduced to money, identifying coins and their value, and determining the value of coin collections.

Unit 5

25 Lessons

### Adding and Subtracting Within 1,000

Students add and subtract within 1,000 using strategies based on place value, properties of operations, and the operational relationship between addition and subtraction in order to add and subtract within 1,000. Students will use these strategies to add up to two 3-digit numbers concretely, pictorially and abstractly and explain why these strategies work.

### What math skills do students learn in 2nd grade?

Students in second grade math focus on 4 critical areas: Extending understanding of base-ten notation, building fluency with addition and subtraction, using standard units of measure, and describing and analyzing shapes.

### What Common Core Math Standards do students focus on in 2nd grade?

The major work of the course focuses on the following Common Core State Standards:

• 2.NBT.A.1  Understand that the three digits of a three-digit number represent amounts of hundreds, tens, and ones; e.g., 706 equals 7 hundreds, 0 tens, and 6 ones.
• 2.NBT.A.2  Count within 1000; skip-count by 5s, 10s, and 100s.
• 2.OA.A.1  Use addition and subtraction within 100 to solve one- and two-step word problems involving situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in all positions, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem.
• 2.OA.B.2  Fluently add and subtract within 20 using mental strategies. By end of Grade 2, know from memory all sums of two one-digit numbers.
• 2.NBT.B.5  Fluently add and subtract within 100 using strategies based on place value, properties of operations, and/or the relationship between addition and subtraction.
• 2.NBT.B.6  Add up to four two-digit numbers using strategies based on place value and properties of operations.
• 2.NBT.B.9  Explain why addition and subtraction strategies work, using place value and the properties of operations. Explanations may be supported by drawings or objects.
• 2.MD.B.5  Use addition and subtraction within 100 to solve word problems involving lengths that are given in the same units, e.g., by using drawings (such as drawings of rulers) and equations with a symbol for the unknown number to represent the problem.
• 2.MD.D.10  Draw a picture graph and a bar graph (with single-unit scale) to represent a data set with up to four categories. Solve simple put-together, take-apart, and compare problems using information presented in a bar graph.

### What are the expectations for 2nd grade math fluency?

2.OA.B.2: Fluently add and subtract within 20 using mental strategies.2 By end of Grade 2, know from memory all sums of two one-digit numbers.

2.NBT.B.5: Fluently add and subtract within 100 using strategies based on place value, properties of operations, and/or the relationship between addition and subtraction.

Learn how to develop students' procedural skill and fluency within Fishtank Math curriculum with our Procedural Skill and Fluency Teacher Tool.

### What kind of word problems do students solve in 2nd grade math?

In second grade, students extend their understanding of addition and subtraction situations by extending their work in problems within 100 and represent and solve situational problems of all types. As students work on one-step situations they are introduced to start unknown add to and take from situational problems as well as comparative problems where the language suggests the wrong operation. Additionally students are asked to extend their work with the various situational types by solving two-step problems. Their work with two-step situational problems does not include extensive work with the newer and more difficult subtypes. Learn how to develop students' word problem solving skills in the Fishtank Math curriculum with our Word Problem Teacher Tool

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