Quarter 1 Quarter 2 Quarter 3 Quarter 4 Unit 1  Numbers Within 10 Unit 2 Numbers Within 20 Unit 3  Tens and Ones Unit 4 Operations with Tens and Ones Unit 5 Length Unit 6 Geometry

Unit Themes

What are the math expectations of first grade students?

Operations and Algebraic Thinking

• Represents and solves word problems involving addition and subtraction within 20

• Understands and applies properties of addition and subtraction

• Understands the relationship between addition and subtraction

• Is accurate and fluent with addition and subtraction facts through 10

• Uses strategies to add and subtract within 20

• Works with addition and subtraction equations

• Understands the meaning of the equal sign  (e.g., 4+1=5, 2+4=7-1)

Numbers and Operation in Base Ten

• Counts to 120 beginning at any number less than 120

• Reads and writes numerals and can match a written numeral to a group of objects

• Understands and uses place value (tens, ones) to solve problems

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

• Mentally finds 10 more or 10 less than any two-digit number

• Adds two-digit number and a one-digit number as well as a two-digit number and a multiple of 10, using concrete models, drawings, or strategies based on place value

Measurement and Data

• Orders and compares three objects by length

• Measures an object using non-standard units  (e.g. cubes, pencils, fingers)

• Tells and writes time in hours and half-hours

• Organizes, represents, and interprets data

Geometry

• Knows the difference between the defining attributes (e.g., 3 sides on a triangle) and non-defining attributes (e.g., color) of shapes

• Creates new two-dimensional or three-dimensional shapes from other two-dimensional or three dimensional shapes

• Breaks circles and rectangles into two and four equal shares and describes using words (e.g., halves, fourths, quarters)

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.