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### 2.1 Number Sense, Properties, and Operations

- 2.1.1 The whole number system describes place value relationships through 1,000 and forms the foundation for efficient algorithms
- 2.1.1.a Use place value to read, write, count, compare, and represent numbers.
- 2.1.1.a.i Represent the digits of a three-digit number as hundreds, tens, and ones.
- 2.1.1.a.ii Count within 1000.
- 2.1.1.a.iii Skip-count by 5s, 10s, and 100s.
- 2.1.1.a.iv Read and write numbers to 1000 using base-ten numerals, number names, and expanded form.
- 2.1.1.a.v Compare two three-digit numbers based on meanings of the hundreds, tens, and ones digits, using >, =, and < symbols to record the results of comparisons.

- 2.1.1.b Use place value understanding and properties of operations to add and subtract.
- 2.1.1.b.i Fluently add and subtract within 100 using strategies based on place value, properties of operations, and/or the relationship between addition and subtraction.
- 2.1.1.b.ii Add up to four two-digit numbers using strategies based on place value and properties of operations.
- 2.1.1.b.iii Add and subtract within 1000, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method.
- 2.1.1.b.iv Mentally add 10 or 100 to a given number 100-900, and mentally subtract 10 or 100 from a given number 100-900.
- 2.1.1.b.v Explain why addition and subtraction strategies work, using place value and the properties of operations.

- 2.1.1.a Use place value to read, write, count, compare, and represent numbers.
- 2.1.2 Formulate, represent, and use strategies to add and subtract within 100 with flexibility, accuracy, and efficiency
- 2.1.2.a Represent and solve problems involving addition and subtraction.
- 2.1.2.a.i Use addition and subtraction within 100 to solve one- and two-step word problems involving situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in all positions.
- 2.1.2.a.ii Apply addition and subtraction concepts to financial decision-making.

- 2.1.2.b Fluently add and subtract within 20 using mental strategies.
- 2.1.2.c Know from memory all sums of two one-digit numbers.
- 2.1.2.d Use equal groups of objects to gain foundations for multiplication.
- 2.1.2.d.i Determine whether a group of objects (up to 20) has an odd or even number of members.
- 2.1.2.d.ii Write an equation to express an even number as a sum of two equal addends.
- 2.1.2.d.iii Use addition to find the total number of objects arranged in rectangular arrays with up to 5 rows and up to 5 columns; write an equation to express the total as a sum of equal addends.

- 2.1.2.a Represent and solve problems involving addition and subtraction.

### 2.3 Data Analysis, Statistics, and Probability

- 2.3.1 Visual displays of data can be constructed in a variety of formats to solve problems
- 2.3.1.a Represent and interpret data.
- 2.3.1.a.i Generate measurement data by measuring lengths of several objects to the nearest whole unit, or by making repeated measurements of the same object. Show the measurements by making a line plot, where the horizontal scale is marked off in whole-number units.
- 2.3.1.a.ii Draw a picture graph and a bar graph (with single-unit scale) to represent a data set with up to four categories.
- 2.3.1.a.iii Solve simple put together, take-apart, and compare problems using information presented in picture and bar graphs.

- 2.3.1.a Represent and interpret data.

### 2.4 Shape, Dimension, and Geometric Relationships

- 2.4.1 Shapes can be described by their attributes and used to represent part/whole relationships
- 2.4.1.a Recognize and draw shapes having specified attributes, such as a given number of angles or a given number of equal faces.
- 2.4.1.b Identify triangles, quadrilaterals, pentagons, hexagons, and cubes.
- 2.4.1.c Partition a rectangle into rows and columns of same-size squares and count to find the total number of them.
- 2.4.1.d Partition circles and rectangles into two, three, or four equal shares, describe the shares using the words halves, thirds, half of, a third of, etc., and describe the whole as two halves, three thirds, four fourths.
- 2.4.1.e Recognize that equal shares of identical wholes need not have the same shape.

- 2.4.2 Some attributes of objects are measurable and can be quantified using different tools
- 2.4.2.a Measure and estimate lengths in standard units.
- 2.4.2.a.i Measure the length of an object by selecting and using appropriate tools such as rulers, yardsticks, meter sticks, and measuring tapes.
- 2.4.2.a.ii Measure the length of an object twice, using length units of different lengths for the two measurements; describe how the two measurements relate to the size of the unit chosen.
- 2.4.2.a.iii Estimate lengths using units of inches, feet, centimeters, and meters.
- 2.4.2.a.iv Measure to determine how much longer one object is than another, expressing the length difference in terms of a standard length unit.

- 2.4.2.b Relate addition and subtraction to length.
- 2.4.2.b.i Use addition and subtraction within 100 to solve word problems involving lengths that are given in the same units and equations with a symbol for the unknown number to represent the problem.
- 2.4.2.b.ii Represent whole numbers as lengths from 0 on a number line diagram and represent whole-number sums and differences within 100 on a number line diagram.

- 2.4.2.c Solve problems time and money.
- 2.4.2.c.i Tell and write time from analog and digital clocks to the nearest five minutes, using a.m. and p.m.
- 2.4.2.c.ii Solve word problems involving dollar bills, quarters, dimes, nickels, and pennies, using $ and ¢ symbols appropriately.

- 2.4.2.a Measure and estimate lengths in standard units.