Second Grade Math Goals
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.
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).
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.
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.
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.
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.
Mathematical Practices
Make sense of problems and persevere in solving them.
Reason abstractly and quantitatively.
Construct viable arguments and critique the reasoning of others.
Model with mathematics.
Use appropriate tools strategically.
Attend to precision.
Look for and make use of structure.
Look for and express regularity in repeated reasoning.
Reading: Literature
Key Ideas and Details:
Ask and answer such questions as who, what, where, when, why, and how to demonstrate understanding of key details in a text.
Recount stories, including fables and folktales from diverse cultures, and determine their central message, lesson, or moral.
Describe how characters in a story respond to major events and challenges.
Craft and Structure:
Describe how words and phrases (e.g., regular beats, alliteration, rhymes, repeated lines) supply rhythm and meaning in a story, poem, or song.
Describe the overall structure of a story, including describing how the beginning introduces the story and the ending concludes the action.
Acknowledge differences in the points of view of characters, including by speaking in a different voice for each character when reading dialogue aloud.
Integration of Knowledge and Ideas:
Use information gained from the illustrations and words in a print or digital text to demonstrate understanding of its characters, setting, or plot.
(RL.2.8 not applicable to literature)
Compare and contrast two or more versions of the same story (e.g., Cinderella stories) by different authors or from different cultures.
Range of Reading and Level of Text Complexity:
By the end of the year, read and comprehend literature, including stories and poetry, in the grades 2-3 text complexity band proficiently, with scaffolding as needed at the high end of the range.
Reading: Informational Text
Key Ideas and Details:
Ask and answer such questions as who, what, where, when, why, and how to demonstrate understanding of key details in a text.
Identify the main topic of a multiparagraph text as well as the focus of specific paragraphs within the text.
Describe the connection between a series of historical events, scientific ideas or concepts, or steps in technical procedures in a text.
Craft and Structure:
Determine the meaning of words and phrases in a text relevant to a grade 2 topic or subject area.
Know and use various text features (e.g., captions, bold print, subheadings, glossaries, indexes, electronic menus, icons) to locate key facts or information in a text efficiently.
Identify the main purpose of a text, including what the author wants to answer, explain, or describe.
Integration of Knowledge and Ideas:
Explain how specific images (e.g., a diagram showing how a machine works) contribute to and clarify a text.
Describe how reasons support specific points the author makes in a text.
Compare and contrast the most important points presented by two texts on the same topic.
Range of Reading and Level of Text Complexity:
By the end of year, read and comprehend informational texts, including history/social studies, science, and technical texts, in the grades 2-3 text complexity band proficiently, with scaffolding as needed at the high end of the range.
Reading: Foundational Skills
Phonics and Word Recognition:
Know and apply grade-level phonics and word analysis skills in decoding words.
Distinguish long and short vowels when reading regularly spelled one-syllable words.
Know spelling-sound correspondences for additional common vowel teams.
Decode regularly spelled two-syllable words with long vowels.
Decode words with common prefixes and suffixes.
Identify words with inconsistent but common spelling-sound correspondences.
Recognize and read grade-appropriate irregularly spelled words.
Fluency:
Read with sufficient accuracy and fluency to support comprehension.
Read grade-level text with purpose and understanding.
Read grade-level text orally with accuracy, appropriate rate, and expression on successive readings.
Use context to confirm or self-correct word recognition and understanding, rereading as necessary.
Writing
Text Types and Purposes:
Write opinion pieces in which they introduce the topic or book they are writing about, state an opinion, supply reasons that support the opinion, use linking words (e.g., because, and, also) to connect opinion and reasons, and provide a concluding statement or section.
Write informative/explanatory texts in which they introduce a topic, use facts and definitions to develop points, and provide a concluding statement or section.
Write narratives in which they recount a well-elaborated event or short sequence of events, include details to describe actions, thoughts, and feelings, use temporal words to signal event order, and provide a sense of closure.
Production and Distribution of Writing:
(W.2.4 begins in grade 3)
With guidance and support from adults and peers, focus on a topic and strengthen writing as needed by revising and editing.
With guidance and support from adults, use a variety of digital tools to produce and publish writing, including in collaboration with peers.
Research to Build and Present Knowledge:
Participate in shared research and writing projects (e.g., read a number of books on a single topic to produce a report; record science observations).
Recall information from experiences or gather information from provided sources to answer a question.
Language
Conventions of Standard English:
Demonstrate command of the conventions of standard English grammar and usage when writing or speaking.
Use collective nouns (e.g., group).
Form and use frequently occurring irregular plural nouns (e.g., feet, children, teeth, mice, fish).
Use reflexive pronouns (e.g., myself, ourselves).
Form and use the past tense of frequently occurring irregular verbs (e.g., sat, hid, told).
Use adjectives and adverbs, and choose between them depending on what is to be modified.
Produce, expand, and rearrange complete simple and compound sentences (e.g., The boy watched the movie; The little boy watched the movie; The action movie was watched by the little boy).
Demonstrate command of the conventions of standard English capitalization, punctuation, and spelling when writing.
Capitalize holidays, product names, and geographic names.
Use commas in greetings and closings of letters.
Use an apostrophe to form contractions and frequently occurring possessives.
Generalize learned spelling patterns when writing words (e.g., cage → badge; boy → boil).
Consult reference materials, including beginning dictionaries, as needed to check and correct spellings.
Knowledge of Language:
Use knowledge of language and its conventions when writing, speaking, reading, or listening.
Compare formal and informal uses of English
Vocabulary Acquisition and Use:
Determine or clarify the meaning of unknown and multiple-meaning words and phrases based on grade 2 reading and content, choosing flexibly from an array of strategies.
Use sentence-level context as a clue to the meaning of a word or phrase.
Determine the meaning of the new word formed when a known prefix is added to a known word (e.g., happy/unhappy, tell/retell).
Use a known root word as a clue to the meaning of an unknown word with the same root (e.g., addition, additional).
Use knowledge of the meaning of individual words to predict the meaning of compound words (e.g., birdhouse, lighthouse, housefly; bookshelf, notebook, bookmark).
Use glossaries and beginning dictionaries, both print and digital, to determine or clarify the meaning of words and phrases.
Demonstrate understanding of word relationships and nuances in word meanings.
Identify real-life connections between words and their use (e.g., describe foods that are spicy or juicy).
Distinguish shades of meaning among closely related verbs (e.g., toss, throw, hurl) and closely related adjectives (e.g., thin, slender, skinny, scrawny).
Use words and phrases acquired through conversations, reading and being read to, and responding to texts, including using adjectives and adverbs to describe (e.g.,When other kids are happy that makes me happy).
Second Grade Students will..
-Understand how various sources provide information about the past. 2.H.1.1
-Use timelines to show sequencing of events. 2.H.1.2
-Identify contributions of historical figures (community, state, nation and world) through various genres. 2.H.1.3
-Compare various interpretations of the same time period using evidence such as photographs and interviews.
Geography and Environmental Literacy
-Use geographic representations, terms and technology to process information from a spatial perspective. 2.G.1.1
-Interpret maps of the school and community that contain symbols, legends and cardinal directions. 2.G.1.2
-Interpret the meaning of symbols and the location of physical and human features on a map (cities, railroads, highways, countries, continents, oceans, etc.). 2.G.2
-Understand the effects of humans interacting with their environment. 2.G.2.1
-Give examples of ways in which people depend on the physical environment and natural resources to meet basic needs. 2.G.2.2
-Explain how people positively and negatively affect the environment.
-Understand basic economic concepts. 2.E.1.1
-Give examples of ways in which businesses in the community meet the needs and wants of consumers. 2.E.1.2
-Explain the roles and impact producers and consumers have on the economy. 2.E.1.3
-Summarize the concept of supply and demand. 2.E.1.4
-Explain why people and countries around the world trade for goods and services. 2.E.1.5
-Explain how money is used for saving, spending, borrowing and giving. 2.E.1.6
-Summarize the role of financial institutions relative to savings.
Civics and Government
-Understand the purpose of governments. 2.C&G 1.1
-Explain government services and their value to the community (libraries, schools, parks, etc.). 2.C&G.1.2
-Explain how governments establish order, provide security and create laws to manage conflict. 2.C&G.2 -Understand the roles and responsibilities of citizens. 2.C&G.2.1
-Exemplify characteristics of good citizenship through historical figures and everyday citizens. 2.C&G.2.2 -Explain why it is important for citizens to participate in their community.
Culture
-Understand how various cultures influence communities. 2.C.2.1
-Explain how artistic expressions of diverse cultures contribute to the community (stories, art, music, food, etc.). 2.C.2.2
-Recognize the key historical figures and events that are associated with various cultural traditions. 2.C.2.3
-Exemplify respect and appropriate social skills needed for working with diverse groups.
North Carolina Essential Standards Second Grade Science
Matter
-Understand properties of solids and liquids and the changes they undergo. 2.P.2.1
-Give examples of matter that change from a solid to a liquid and from a liquid to a solid by heating and cooling. 2.P.2.2
-Compare the amount (volume and weight) of water in a container before and after freezing. 2.P.2.3 -Compare what happens to water left in an open container over time as to water left in a closed container.
Earth Systems
-Understand patterns of weather and factors that affect weather. 2.E.1.1
-Summarize how energy from the sun serves as a source of light that warms the land, air and water. 2.E.1.2
-Summarize weather conditions using qualitative and quantitative measures to describe:
• Temperature • Wind direction • Wind speed • Precipitation 2.E.1.3
-Compare weather patterns that occur over time and relate observable patterns to time of day and time of year. 2.E.1.4
-Recognize the tools that scientists use for observing, recording, and predicting weather changes from day to day and during the seasons.
Structures and Functions of Living Organisms
-Understand animal life cycles. 2.L.1.1
-Summarize the life cycle of animals
• Birth • Developing into an adult • Reproducing • Aging and death 2.L.1.2
-Compare life cycles of different animals such as, but not limited to, mealworms, ladybugs, crickets, guppies or frogs.
-Remember that organisms differ from or are similar to their parents based on the characteristics of the organism. 2.L.2.1
-Identify ways in which many plants and animals closely resemble their parents in observed appearance and ways they are different. 2.L.2.2 Recognize that there is variation among individuals that are related.