General Course Information and Notes

General Notes

In Grade 2, instructional time should focus 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.

1. Students extend their understanding of the base-ten system. This includes ideas of counting in fives, tens, and multiples of hundreds, tens, and ones, as well as number relationships involving these units, including comparing. Students understand multi-digit numbers (up to 1000) written in base-ten notation, recognizing that the digits in each place represent amounts of thousands, hundreds, tens, or 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 three-dimensional shapes, students develop a foundation for understanding area, volume, congruence, similarity, and symmetry in later grades.

English Language Development ELD Standards Special Notes Section:
Teachers are required to provide listening, speaking, reading and writing instruction that allows English language learners (ELL) to communicate information, ideas and concepts for academic success in the content area of Mathematics. For the given level of English language proficiency and with visual, graphic, or interactive support, students will interact with grade level words, expressions, sentences and discourse to process or produce language necessary for academic success. The ELD standard should specify a relevant content area concept or topic of study chosen by curriculum developers and teachers which maximizes an ELL’s need for communication and social skills. To access an ELL supporting document which delineates performance definitions and descriptors, please click on the following link:

Florida Standards Implementation Guide Focus Section:

The Mathematics Florida Standards Implementation Guide was created to support the teaching and learning of the Mathematics Florida Standards. The guide is compartmentalized into three components: focus, coherence, and rigor.Focus means narrowing the scope of content in each grade or course, so students achieve higher levels of understanding and experience math concepts more deeply. The Mathematics standards allow for the teaching and learning of mathematical concepts focused around major clusters at each grade level, enhanced by supporting and additional clusters. The major, supporting and additional clusters are identified, in relation to each grade or course. The cluster designations for this course are below.

Major Clusters

MAFS.2.OA.1 Represent and solve problems involving addition and subtraction.

MAFS.2.OA.2 Add and subtract within 20.

MAFS.2.NBT.1 Understand place value.

MAFS.2.NBT.2 Use place value understanding and properties of operations to add and subtract.

MAFS.2.MD.1 Measure and estimate lengths in standard units.

MAFS.2.MD.2 Relate addition and subtraction to length.

Supporting Clusters

MAFS.2.OA.3 Work with equal groups of objects to gain foundations for multiplication.

MAFS.2.MD.3 Work with time and money.

MAFS.2.MD.4 Represent and interpret data.

MAFS.2.G.1 Reason with shapes and their attributes.

Note: Clusters should not be sorted from major to supporting and then taught in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting and additional clusters.

General Information

Course Number: 5012040
Course Path:
Course Length: Year (Y)
Course Attributes:
• Class Size Core Required
Course Status: Course Approved

Educator Certifications

One of these educator certification options is required to teach this course.

Student Resources

Vetted resources students can use to learn the concepts and skills in this course.

Original Student Tutorials

Bianca's Place Value Bubble Gum Factory - Part 1:

Come along on this adventure exploring the Base 10 place value system with 3-digit numbers in Bianca's Bubble Gum Factory, in this interactive tutorial.

Type: Original Student Tutorial

Ice Cream Pictographs: Questions:

Help Ms. Griffin's class answer questions about the data they collected on their class's favorite ice cream flavors in this interactive student tutorial.

Type: Original Student Tutorial

Ice Cream Pictographs:

Ice cream, ice cream, learn all about it! Learn how to organize collected data to create your own pictographs in this interactive student tutorial.

Type: Original Student Tutorial

Place Value Party - Part 5: 100 Less:

Learn how to create numbers that are 100 less as you wrap up the place value party in this interactive tutorial.

This is part 1 in five-part series. Click below to view the other tutorials in the series.

Type: Original Student Tutorial

Place Value Party - Part 4:

Find 100 less and 100 more than a given 3-digit number by helping Kaylin and Quinten keep track of the place value party game points in this interactive tutorial.

This is part 1 in five-part series. Click below to view the other tutorials in the series.

Type: Original Student Tutorial

Place Value Party - Part 3:

Find the value of 3-digit numbers which are 10 less with regrouping as Kaylin and Quinten keep score at a place value party in this interactive tutorial.

This is part 1 in five-part series. Click below to view the other tutorials in the series.

Type: Original Student Tutorial

Place Value Party - Part 2:

Find 10 more and 10 less than 3-digit numbers with regrouping to help Kaylin and Quinten keep score at the place value party in this interactive tutorial.

This is part 1 in five-part series. Click below to view the other tutorials in the series.

Type: Original Student Tutorial

Partitioning Cakes: Thirds:

It's time for cake! Learn to partition cakes into thirds in this interactive student tutorial.

Type: Original Student Tutorial

Place Value Party - Part 1:

Mr. Mahoney challenges students to solve 10 less and 10 more problems in a place value party planning adventure in this interactive tutorial.

This is part 1 in five-part series. Click below to view the other tutorials in the series.

Type: Original Student Tutorial

Partitioning Pizzas: Halves:

Learn to partition circular and rectangular pizzas into halves in this interactive tutorial.

Type: Original Student Tutorial

Partitioning Circular Pies: Fourths:

It's time for pie! Learn to partition circular pies into fourths in this interactive student tutorial.

Type: Original Student Tutorial

Partitioning Rectangular Pies: Fourths:

It's Thanksgiving and time for pie! Learn to partition rectangular pies into fourths in this interactive student tutorial.

Type: Original Student Tutorial

Chocolate Partitioning!:

Learn to partition a rectangular chocolate bar into equally sized pieces by making rows and columns in this interactive tutorial.

Note: This tutorial extends beyond partitioning a rectangle into 4 equal sized shares and explores partitioning into higher numbers.

Type: Original Student Tutorial

Can You Teach A Dolphin Math? - Part 2:

Learn read and write numbers in expanded form with the dolphins in this interactive tutorial.

This is Part 2 in a two-part series. Click HERE to open Part 1.

Type: Original Student Tutorial

Can You Teach A Dolphin Math? - Part 1:

Learn to read and write numbers to 1000 using base-ten numerals with the dolphins!

This interactive tutorial is part 1 of a two-part series. Click HERE to open Part 2.

Type: Original Student Tutorial

Destinee Dragon’s Donut Troubles: Arrays:

Help Destinee use arrays and repeated addition to find how many donuts that she has in this interactive tutorial.

Type: Original Student Tutorial

Telling Time with Tomás:

Come tell time with Tomás in 5 minute intervals on a digital and analog clock in this interactive tutorial.

Type: Original Student Tutorial

Construction Measurement Mix-Up:

Add and subtract within 100 to solve word problems involving lengths in the same units to fix the construction mix-up at a school in this interactive tutorial.

Type: Original Student Tutorial

Balancing Act:

Help Tyler balance equations by finding the unknown number in this interactive tutorial.

Type: Original Student Tutorial

Shapes in Space:

Learn how to recognize and draw triangles, pentagons and hexagons using the shapes' attributes in this space-themed, interactive tutorial.

Type: Original Student Tutorial

Beach Buddies: Even or Odd? :

Come explore even and odd numbers of objects and learn to determine if a group of objects has an even or odd number in this beach-themed, interactive tutorial.

Type: Original Student Tutorial

Big Brown Bug: Estimating Measurements!:

A 6 foot bug? No way! Learn how to estimate length using inches, feet and yards by using objects around you in this interactive tutorial.

Type: Original Student Tutorial

Tale of the Tallest Skyscraper:

Learn how to compare three-digit numbers using place value models, number lines and place value charts in this interactive tutorial.

Type: Original Student Tutorial

Subtraction with Stanley:

Learn to use place value to solve subtraction problems within 100 in this interactive, basketball-themed tutorial.

Type: Original Student Tutorial

Learn different strategies for adding two-digit numbers and solve problems involving lengths as you complete this interactive tutorial.

Type: Original Student Tutorial

Off to the Bank: Dollar Bills:

Learn the value and characteristics of dollar bills when you meet with a bank teller in this interactive tutorial.

This is part 6 of 6. Click below to open the other tutorials in the series.

Type: Original Student Tutorial

Educational Games

Match the 2D Shape:

Play the concentration game. Match the 2D shape to the correct name.

Type: Educational Game

Practicing Logic with addition and subtraction:

Students are to guess two numbers based on their sum and difference: The sum of 2 numbers is 15 and their difference is 1. What are the 2 numbers?

Type: Educational Game

Estimation of Length, Area, and Volume:

The students will be presented with two shapes and must estimate how many times the smaller will fit in the larger. They will be surprised at some of the results but will quickly learn and make adjustments.

Type: Educational Game

Educational Software / Tools

Grouping and Grazing:

This interactive Flash applet helps children learn grouping, tally marks, place value, addition, and subtraction. Students help the alien spaceship move cows into corrals by counting by 5s and 10s. They also can apply those grouping skills to practice adding and subtracting two-digit numbers with regrouping. Audio cues and prompts reinforce the user's actions and facilitate counting and the development of math language.

Type: Educational Software / Tool

Hundreds Chart:

A printable hundreds chart featuring a 10x10 table numbered 1 to 100. (found on Illuminations website under "Trading for Quarters")

Type: Educational Software / Tool

My Place:

This resource re-explains the concepts behind place value of numbers up to 1,000. It guides you through the place of numbers and uses simple terms and comparisons to describe the placement of numbers to students.

It could be set up for students on computers to go through, or project it for the class to follow along as you re-read about place value.

Type: Educational Software / Tool

Which Pictures Represent One Half?:

The purpose of this task is for students to see different ways of partitioning a figure into two or more equal shares, by which we mean decomposing the figure into "pieces" with equal area.

Representing Half of a Rectangle:

This task is for assessment purposes, providing a context for indentifying different ways of representing half of an object, a rectangle in this case. The task may also be used for instructional purposes but if so the teacher may wish to introduce some other ways of showing one half of the rectangle, such as dividing along a diagonal (and shading in one piece) or dividing it into four equal pieces, shading in two pieces that only touch at a corner.

Comparisons 2:

The purpose of this task if for students to gain a better understanding of <,=,> with the help of number sentences.

Three composing/decomposing problems:

The purpose of this task is to help students understand composing and decomposing ones, tens, and hundreds. This task is meant to be used in an instructional setting and would only be appropriate to use if students actually have base-ten blocks on hand.

Ten \$10s make \$100:

The purpose of this task is for students to use currency to help better understand place value.

Saving Money 2:

The purpose of this task is for students to relate addition and subtraction problems to money and to situations and goals related to saving money. This task is an instructional task that brings many aspects of the mathematical work that second graders will be doing together with an opportunity to learn about financial literacy concepts.

Red and Blue Tiles:

This task is specifically written so that students have opportunities to use different strategies to determine whether a set has an even or odd number of objects.

Boxes and Cartons of Pencils:

This tasks uses school supplies in a problem to help students gain a better understanding of place value.

Digits 2-5-7:

Students who are struggling to build an understanding of the relationship between digit placement and the value of the number may still need concrete manipulatives such as grid paper and Base Ten Blocks. As a classroom extension, after students have worked independently or in small groups to solve the problem, the teacher can ask students to share their numbers, until all six possibilities are listed. Then, independently or as a whole group, students can order the six numbers from smallest to largest (or largest to smallest).

One, Ten, and One Hundred More and Less:

This task acts as a bridge between understanding place value and using strategies based on place value for addition and subtraction. Within the classroom context, this activity can be differentiated using numbers that are either simpler or more difficult to manipulate across tens and hundreds.

Regrouping:

This task serves as a bridge between understanding place-value and using strategies based on place-value structure for addition. Place-value notation leaves a lot of information implicit. The way that the numbers are represented in this task makes this information explicit, which can help students transition to adding standard base-ten numerals.

Delayed Gratification:

The purpose of this task is for students to compare two options for a prize where the value of one is given \$2 at a time, giving them an opportunity to "work with equal groups of objects to gain foundations for multiplication." This context also provides students with an introduction to the concept of delayed gratification, or resisting an immediate reward and waiting for a later reward, while working with money.

A Pencil and a Sticker:

The purpose of this task is to represent and solve problems involving addition and subtraction with the help of a bar diagram.

Party Favors:

The point of this task is to emphasize the grouping structure of the base-ten number system, and in particular the crucial fact that 10 tens make 1 hundred. Second graders should have been given opportunities to work with objects and pictures that represent the grouping structure of the base-ten number system, which would help prepare them for doing this task.

Saving Money 1:

The purpose of this task is for students to relate addition and subtraction problems to money and to situations and goals related to saving money. This task has students adding two 2-digit numbers that require regrouping and the solution shows a more concrete approach than the solution approach shown in 2.OA, NBT Saving Money 2. This problem can be adjusted based on where students are in their understanding of addition involving two digit numbers.

Counting Dots in Arrays:

Students who work on this task will benefit in seeing that given a quantity, there is often more than one way to represent it, which is a precursor to understanding the concept of equivalent expressions. This particular question also lays a foundation for students to understand the commutative property of multiplication in third grade. This task would be much more valuable if included in an appropriate place in an instructional sequence than as an isolated task.

Ordering 3-digit numbers:

The purpose of this task is for students to gain a better understanding of 3-digit numbers and their place value.

The Longest Walk:

The language in this task is above the reading level of many second grade students, so it is best for the teacher to explain the task to the students verbally. After students have drawn and measured their ten line segments, it might be more useful for the class to discuss part (b) as a whole group. It is a good idea to have the students use color to help them keep track of the connection between a line that they have drawn and the corresponding data point on the graph.

The purpose of this task is to introduce students to the characteristics of money in a financial literacy sense as well as to solve problems involving money.

Bundling and Unbundling:

Students determine the number of hundreds, tens and ones that are necessary to write equations when some digits are provided. Student must, in some cases, decompose hundreds to tens and tens to ones. The order of the summands does not always correspond to the place value, making these problems less routine than they might seem at first glance.

Comparisons 1:

This task requires students to compare numbers that are identified by word names and not just digits. The order of the numbers described in words are intentionally placed in a different order than their base-ten counterparts so that students need to think carefully about the value of the numbers. Some students might need to write the equivalent numeral as an intermediate step to solving the problem.

Counting Stamps:

This is an instructional task related to deepening place-value concepts. The important piece of knowledge upon which students need to draw is that 10 tens is 1 hundred. So each sheet contains 100 stamps. If students do not recall this fact readily, one way to review it is to have them draw a strip of ten stamps on graph paper (so they don't have to draw all the individual stamps) and then draw ten strips that are side-by-side to represent a sheet and ask how many stamps there are in one sheet.

How Many Days Until Summer Vacation?:

The purpose of the task is to allow children an opportunity to subtract a three-digit number including a zero that requires regrouping. The solutions show how students can solve this problem before they have learned the traditional algorithm.

Largest Number Game:

It is important that students be asked to explain well beyond saying something like "She should choose the 8 because it is the biggest." They should be asked to think through the other possibilities and then draw on their ability to compare three digit numbers (as developed in 2.NBT.4) to complete the task. In the second part, students are presented with an incorrect statement supported by a correct one. It is worth pausing to ask students to carefully sort this through, since attending to reasoning that is partially true and partially false lends itself to the SMP.3: Constructing viable arguments and critiquing the reasoning of others.

Making 124:

This task asks students to explain how they know the list is complete, it aligns with Standard for Mathematical Practice 3 Construct viable arguments and critique the reasoning of others. A systematic approach to listing the solutions is not required to meet the standard, but it's a nice way for students to explain how they found all the possible ways to make 124 using base-ten blocks

Susan's Choice:

The purpose of this task is to address the concept of opportunity cost through a real world context involving money. In economics, resources are limited, but our wants are unlimited. Therefore, choices must be made. Every choice involves a cost.

Toll Bridge Puzzle:

This task is intended to assess adding of four numbers as given in the standard while still being placed in a problem-solving context. As written this task is instructional; due to the random aspect regarding when the correct route is found, it is not appropriate for assessment. This puzzle works well as a physical re-enactment, with paper plates marking the islands and strings with papers attached for the tolls.

Tutorials

Understanding the Meaning of the Equal Sign:

In this tutorial, you will learn more about what the equals sign means and how to balance equations.

Type: Tutorial

Telling Time Examples #2:

Demonstrates how to tell time on unlabeled analog clocks to the nearest five minutes.

Type: Tutorial

Telling Time Examples #1:

Tell time on a labeled analog clock to the nearest five minutes.

Type: Tutorial

In this tutorial you will learn how to solve a word problem by creating a chart and adding the same number many times.

Type: Tutorial

Solving word problems within 100:

This Khan Academy tutorial, called, "sports on a die" explains the pitfalls of relying on key words in a word problem. Students solve a problem by writing a missing addend addition equation and solve with the standard algorithm for subtracting two digit numbers.

Type: Tutorial

Subtracting within 100 using the standard algorithm:

In this tutorial video from Khan Academy, called "Using crayons", explore subtracting within 100 using the standard algorithm, as well as a bar diagram.

Type: Tutorial

Solving a word problem using the standard algorithm for subtraction:

In this video tutorial from Khan Academy called "losing tennis balls", explore solving a two-step subtraction word problem using the standard algorithm.

Type: Tutorial

Adding two-digit numbers using the standard algorithm:

In this tutorial video from Khan Academy, called "Fence posts for horses", explore adding a two digit number to a two digit number using the standard algorithm

Type: Tutorial

Adding and subtracting on number line word problems:

In this video tutorial from Khan Academy, explore using a number line solve word problems involving more than two numbers.

Type: Tutorial

Subtracting with regrouping:

In this tutorial video from Khan Academy, a subtraction problem is solved which contains two numbers each with two-digits. The video demonstrates subtraction with regrouping using the standard algorithm, as well as a method using expanded form.

Type: Tutorial

Subtracting two-digit numbers without regrouping:

In this video tutorial from Khan Academy, explore subtracting two-digit numbers by using the standard algorithm. This video does not include regrouping.

Type: Tutorial

Converting Numbers Into Words - Word Problems:

You can watch a video that demonstrates how to convert numbers into words. Then, you can practice this skill by answering multiple choice questions.

Type: Tutorial

Converting Numbers Into Words:

Students will view a video that uses place model values up to 1000, to teach the concept of how to convert numbers into words. After viewing the video students have an opportunity to practice this skill and receive immediate feedback on their responses.

Type: Tutorial

Polygon Gallery:

This combination of illustrations and narration defines convex as well as concave polygons and describes the features of various polygons. Examples of polygons shown include triangles and quadrilaterals of various types, including some that are convex and some that are concave, and even one that has a hole in it. Narration or read-along text describes the shapes for the user. Copyright 2005 Eisenhower National Clearinghouse

Type: Tutorial

Virtual Manipulatives

Polygon Sort:

This interactive Flash activity asks the user to sort shapes into a 2 by 2 chart, known as a Carroll Diagram, based on their properties. Properties used to sort include "quadrilateral" or "not quadrilateral" and "regular polygon" or "not regular polygon."

Type: Virtual Manipulative

Number Sense-Place Value:

Hacker has given you a challenge. He will run his number machine to create a number. Then you will get three numbers between one and nine. The challenge is to make a number that is larger than the one on Hacker's machine. Be careful though--Hacker will give you numbers that can't be bigger than his!

Type: Virtual Manipulative

Data Grapher:

Students use this interactive tool to explore the connections between data sets and their representations in charts and graphs. Enter data in a table (1 to 6 columns, unlimited rows), and preview or print bar graphs, line graphs, pie charts, and pictographs. Students can select which set(s) of data to display in each graph, and compare the effects of different representations of the same data. Instructions and exploration questions are provided using the expandable "+" signs above the tool.

Type: Virtual Manipulative

Shape Tool:

This virtual manipulative allows you to create, color, enlarge, shrink, rotate, reflect, slice, and glue geometric shapes, such as: squares, triangles, rhombi, trapezoids and hexagons.

Type: Virtual Manipulative

Animal Legs (multiply using repeated addition):

Students use repeated addition as a strategy to solve multiplication story problems.

Type: Virtual Manipulative

Groups of Dogs (multiplication):

Students use arrays to understand the meaning of multiplication.

Type: Virtual Manipulative

Shape Cutter:

This virtual manipulative allows students to draw geometric shapes and then decompose and recompose them into other shapes, using slides, turns, and flips to cut and move pieces around.

Type: Virtual Manipulative

Histogram:

In this activity, students can create and view a histogram using existing data sets or original data entered. Students can adjust the interval size using a slider bar, and they can also adjust the other scales on the graph. This activity allows students to explore histograms as a way to represent data as well as the concepts of mean, standard deviation, and scale. This activity includes supplemental materials, including background information about the topics covered, a description of how to use the application, and exploration questions for use with the java applet.

Type: Virtual Manipulative

Parent Resources

Vetted resources caregivers can use to help students learn the concepts and skills in this course.
MAFS.2
In Grade 2, instructional time should focus 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.
1. Students extend their understanding of the base-ten system. This includes ideas of counting in fives, tens, and multiples of hundreds, tens, and ones, as well as number relationships involving these units, including comparing. Students understand multi-digit numbers (up to 1000) written in base-ten notation, recognizing that the digits in each place represent amounts of thousands, hundreds, tens, or 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 generalization 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 three-dimensional shapes, students develop a foundation for understanding area, volume, congruence, similarity, and symmetry in later grades.