Parents Guide 2nd Grade Math

West Genesee Mathematics

A Parent's Guide to 2nd Grade

Mathematics

Compiled by Teachers at East Hill Elementary School

Dear Parents,

This guide is intended to better acquaint you with the NYS Common Core Learning Standards for 2nd Grade Mathematics. It has been compiled from several different sources.

Included in this guide is an overview of the Common Core Learning Standards for 2nd grade, a glossary compiled by Michele Gipe, West Genesee math coach, that contains many of the newer terms to which students are being exposed, information from "A Parent's Backpack Guide to the Common Core" from , a sampling of strategies that students use in second grade for various concepts from a variety of sources, information from, "Parent Roadmap: Supporting Your Child in Grade Two Mathematics," and websites for both parents and students.

We will continue to update and revise these guides as we continue along our journey in the implementation of the Common Core. If you have any suggestions for things to include in this guide, please send an email to lcraig@. I hope you find this guide helpful. Thank you!

Lisa Craig East Hill Elementary Principal Elementary Math Coordinator

Table of Contents

2nd Grade Common Core Learning Standards ............................................p. 2 - 3 Parent's Backpack Guide to the Common Core State Standards for Mathematics .. p. 3 Parent Roadmap: Supporting Your Child in Grade 2 Mathematics: Place Value ...p. 4-5 2nd Grade Glossary created by Michele Gipe, West Genesee Math Coach ........p. 6 - 7 Stages of Addition created by Lisa Craig, Principal of East Hill Elementary.............p. 8 Stages of Subtraction created by Lisa Craig, Principal of East Hill Elementary.........p. 9 Addition and Subtraction Strategies from the KATM Flip Book for Grade 2 ............p. 10 Additional Strategies from East Irondequoit............................................. .p. 11 - 14 Websites for Parents and Second Graders ....................................................p. 15 Apps for 2nd Graders ................................................................................p. 16 Resources Used .......................................................................................p. 16

The way we taught students in the past simply does not prepare them for the higher demands of college and careers today and in the future. Your school and schools throughout the country are working to improve teaching and learning to ensure that all children will graduate high school with the skills they need to be successful. In mathematics, this means three major changes. Teachers will concentrate on teaching a more focused set of major math concepts and skills. This will allow students time to master important ideas and skills in a more organized way throughout the year and from one grade to the next. It will also call for teachers to use rich and challenging math content and to engage students in solving real-world problems in order to inspire greater interest in mathematics.

Taken from Parent Roadmap: Supporting Your Child in Grade Two Mathematics

Page 1

An Overview of 2nd Grade Math

In Grade 2, instructional time should focus on four critical areas: (1) extending understanding of baseten notation; (2) building fluency with addition and subtraction; (3) using standard units of measure; and (4) describing and analyzing shapes.

Mathematical Practices

These eight practices are the goals of all math education, K-12

1. Make sense of problems and persevere in solving them.

2. Reason abstractly and quantitatively.

1. Students extend their understanding of the base- 3. Construct viable arguments and ten system. This includes ideas of counting in fives, critique the reasoning of others.

tens, and multiples of hundreds, tens, and ones, as 4. Model with mathematics.

well as number relationships involving these units, 5. Use appropriate tools strategically.

including comparing. Students understand multi- 6. Attend to precision.

digit numbers (up to 1000) written in base-ten notation, recognizing that the digits in each place

7. Look for and make use of structure.

represent amounts of thousands, hundreds, tens, or 8. Look for and express regularity in

repeated reasoning.

ones (e.g., 853 is 8 hundreds + 5 tens + 3 ones).

2. Students use their understanding of addition to develop fluency with addition and subtraction within 100. They solve problems within 1000 by applying their understanding of models for addition and subtraction, and they develop, discuss, and use efficient, accurate, and generalizable methods to compute sums and differences of whole numbers in base-ten notation, using their understanding of place value and the properties of operations. They select and accurately apply methods that are appropriate for the context and the numbers involved to mentally calculate sums and differences for numbers with only tens or only hundreds.

3. Students recognize the need for standard units of measure (centimeter and inch) and they use rulers and other measurement tools with the understanding that linear measure involves an iteration of units. They recognize that the smaller the unit, the more iterations they need to cover a given length.

4. Students describe and analyze shapes by examining their sides and angles. Students investigate, describe, and reason about decomposing and combining shapes to make other shapes. Through building, drawing, and analyzing two- and threedimensional shapes, students develop a foundation for understanding area, volume, congruence, similarity, and symmetry in later grades.

Page 2

Big Ideas in Grade 2

Operations and Algebraic Thinking ? Represent and solve problems involving addition and subtraction. ? Add and subtract within 20. ? Work with equal groups of objects to gain foundations for multiplication. Number and Operations in Base Ten ? Understand place value. ? Use place value understanding and properties of operations to add and subtract.

Measurement and Data ? Measure and estimate lengths in standard units. ? Relate addition and subtraction to length. ? Work with time and money. ? Represent and interpret data. Geometry ? Reason with shapes and their attributes.

What is Changing in Mathematics Education

The information below was taken from the "Parent's Backpack Guide to Common Core State Standards" found on .

Page 3

How 2nd Grade "Fits" in the Progression

(taken from Parent Roadmap: Supporting Your Child in Grade Two Mathematics) In grade two, students will extend their understanding of place value to the hundreds place. They will use this place value understanding to solve word problems, including those involving length and other units of measure. Students will continue to work on their addition and subtraction skills, quickly and accurately adding and subtracting numbers up through 20 and also working with numbers up through 100. They will also build a foundation for understanding fractions by working with shapes and geometry. Activities in these areas will include: quickly and accurately adding numbers together that total up to 20 or less or subtracting from numbers up through 20; solving one- or two-step word problems by adding or subtracting numbers up through 100; understanding what the different digits mean in a three-digit number; adding and subtracting three digit numbers; measuring lengths of objects in standard units such as inches and centimeters;, solving addition and subtraction word problems involving length; solving problems involving money; breaking up a rectangle into same -size squares; dividing circles and rectangles into halves, thirds, or fourths; solving addition, subtraction, and comparison word problems using information presented in a bar graph writing equations to represent addition of equal numbers.

Page 4

Partnering with your Child's Teacher (taken from Parent Roadmap)

Don't be afraid to reach out to your child's teacher--you are an important part of your child's education. Ask to see a sample of your child's work or bring a sample with you. Ask the teacher questions like: ? Is my child at the level where he/she should be at this point of the school year? ? Where is my child excelling? How can I support this success? ? What do you think is giving my child the most trouble? How can I help my child improve in this area? ? What can I do to help my child with upcoming work?

Page 5

Glossary for 2nd Grade Math

A 2x5 grid used for combinations to 10 and adding and subtracting within 20

A representation of two smaller parts that make up a whole. For example, 6 is made up of 0 and 6 or 6 is made up of 1 and 5.

Foundation for under- standing a number line--1 number, 1 space. Counting and matching numbers and objects

A way to show the two smaller parts that make up a whole (similar to a number bond, different visual representation)

A way to add numbers by adding each place and combining

Page 6

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