Math

Unit 1: Addition and Subtraction within 20

   In this unit, students analyze a variety of addition and subtraction word problem structures: Add To, Take From, Put Together/Take Apart, andCompare. They extend this learning to solve two-step word problems involving addition and/or subtraction. Students model, draw, or act out the actions or relationships in the word problems as a strategy for engaging in the problem and creating understanding of the relationships among the numbers in the situation. Students use reasoning strategies to solve for the unknown in the part whole relationship. Additionally, students explore the properties of "even" and "odd" and generate several strategies for determining if a given quantity is even or odd.

 

Unit 2: Addition within 200

   Second graders will work with place value, representing numbers in different ways, and comparing numbers. They add two, three, or four 2-digit numbers, choosing appropriate tools and representations that help them think about groups of tens and hundreds in the problem.  Students use visual models to represent two and three digit numbers, and they apply their addition strategies to problems involving money.

 

Unit 3: Length and Shapes

   Students will learn to measure and estimate lengths using standard units of linear measurement (inches, centimeters, feet, meters.) They represent lengths on line plots, and analyze the relationship between the size of the unit and the number of units needed to measure a given object. Students also use attributes to identify and model shapes. Visual models and real world situations support students' understanding of shapes and length measurements.

 

Unit 4: Subtracting 2 Digit Numbers

   In this unit, second graders build fluency with subtraction strategies based on breaking apart numbers in useful ways. They use tools such as place value models and empty number line models both to guide thinking and to communicate reasoning. Strategies include breaking numbers apart by place values, keeping one number whole and subtracting parts, using known number relationships and compensating, or using addition. Students continue refining addition strategies developed in Unit 2, and they apply addition and subtraction strategies when solving one and two step addition and subtraction problems. Students will also apply addition and subtraction strategies in solving problems about money.

 

Unit 5: Time, Graphs, and Word Problems

   Students read and show time to the nearest five minutes on digital and analog clocks. They display data using bar graphs and pictographs, and they interpret the data in graphs by asking and answering questions about the data.  Students use what they know about solving word problems to find answers to questions posed about data.

 

Unit 6: 3-Digit Addition and Subtraction

   Students use the structure of place value to represent numbers up to 1000 with models of hundreds, tens, and ones. They compare quantities and numbers, and they use knowledge of place value to count forward and back by 1s, 10s and 100s, leading to mental computation with 10 and 100. They apply previously developed computational strategies to make sense of adding and subtracting numbers up to 1000. Students demonstrate addition and subtraction strategies through writing and justify the accuracy of their strategies.

 

Unit 7: Arrays, Equal Shares, and Adding or Subtracting Lengths

   In this unit, students explore the structure of rows and columns within rectangles and use counting, grouping, and addition and subtraction strategies to determine how many squares make up the rectangle.  This provides important foundational understanding that supports students' development of the array model for multiplication as well as their conceputal understanding of area. Students also break shapes into equal shares and develop foundational language of fractions. They make connections between their previous learning about linear measurement and ideas of adding and subtracting on a number line diagram. This work supports the development of mental computation and strengthens students' mental number lines, a mental model for the structure of numbers.

 

Unit 8: Pulling the Learning Together

   In this culminating unit, students have the opportunity to apply grade level content in problem solving situations. The essence of this unit is flexibility in order to differentiate and address the needs of students. Students engage in real world problems that require perseverance and communicate their thinking by constructing viable arguments and critiquing the reasoning of others.