Quarter 1 Quarter 2 Quarter 3 Quarter 4 Unit 1  Numbers Within 20 Unit 2 Numbers Within 100 Unit 3  Numbers Within 1000 Unit 4 Length Unit 5 Shapes and Arrays

Unit Themes

What are the math expectations of second grade students?

Operations and Algebraic Thinking

• Represents and solves word problems involving addition and subtraction within 100

• Is fluent with addition and subtraction facts to 20

• Works with equal groups of objects to gain foundations for multiplication (e.g., arrays, repeated addition, etc.)

Numbers and Operation in Base Ten

• Understands place value (e.g., ones, tens, hundreds, thousands)

• Skip counts 5’s, 10’s, and 100’s within 1000

• Reads and writes numbers to 1000 using numerals, expanded form, and words

• Compares three-digit numbers based on place value using >, =, < symbols

• Uses multiple strategies to add and subtract double digit numbers within 100

• Adds and subtracts within 1000 using models, strategies, and drawings

• Explains why addition and subtraction strategies work

Measurement and Data

• Measures, estimates, and compares the lengths of objects in standard units

• Represents addition and subtraction on a number line

• Tells and writes time from analog and digital clocks to the nearest 5 minutes using a.m. and p.m.

• Solves word problems involving dollar bills, quarters, dimes, nickels, and pennies using \$ and ¢ correctly

• Represents and interprets data on line plots, picture graphs, and bar graphs

Geometry

• Recognizes and draws shapes according to given attributes (e.g., number of angles, number of faces)

• Identifies triangles, quadrilaterals, pentagons, hexagons, and cubes

• Divides a rectangle into equal squares and finds the total number

• Divides circles and rectangles into equal pieces (2, 3, or 4), and describes the whole as two halves, three thirds, or four fourths

• Recognizes that equal parts of identical wholes do need to be the same shape

Standards for Mathematical Practice

The eight standards for mathematical practice describe the “know-how” or habits of mind that we seek to develop in students. These practices define important methods and skills that students need to be mathematically proficient.

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

Students are able to “stick with” problems and will try multiple methods to reach a solution.

2. Reason abstractly and quantitatively.

Students understand that written numerals represent real world objects and quantities.

3. Construct viable arguments and critique the reasoning  of others.

Students are able to explain their own mathematical ideas and strategies and they respond to the thinking of others.

4. Model with mathematics.

Students use pictures, objects, numbers, and/or words to express their mathematical thinking and reasoning.

5. Use appropriate tools strategically.

Students select the appropriate tools and resources to solve a problem.

6. Attend to precision.

Students use detailed and accurate mathematical vocabulary to communicate mathematical understandings.

7. Look for and make use of structures.

Students notice attributes and structures in mathematics such as: sorts shapes by the number of sides or recognizes that 4+6=10 and 6+4=10.

8. Look for and express regularity in repeated reasoning.

Students identify patterns, make predictions and use repetitive actions that support computation: 12 + 5 is the same as 10 + 2 + 5.