# Elementary Mathematics

The Washington County Public Schools mathematics curriculum follows the Maryland Common Core State Curriculum. The Common Core concentrates on a clear set of math skills and concepts. Students will learn concepts in a more organized way both during the school year and across grade levels. The standards encourage students to solve real-world problems and define what students should understand and be able to do in their study of mathematics.

The development of the standards began with research-based learning progressions detailing what is known today about how students’ mathematical knowledge, skill and understanding develop over time. The knowledge and skills students need to be prepared for mathematics in college, career and life are woven throughout the mathematics standards. Teachers connect the mathematical practices to the mathematical content in daily instruction.

**Kindergarten**

Counting and Cardinality

- Know number names and the count sequence.
- Count to tell the number of objects.
- Compare numbers

**Grade 1**

Operations & Algebraic Thinking

- Represent and solve problems involving addition and subtraction.
- Understand and apply properties of operations and the relationship between addition and subtraction.
- Add and subtract within 20.
- Work with addition and subtraction equations.

Number & Operations in Base Ten

- Extend the counting sequence.
- Understand place value.
- Use place value understanding and properties of operations to add and subtract.

Measurement & Data

- Measure lengths indirectly and by iterating length units.
- Tell and write time.
- Represent and interpret data.

Geometry

- Reason with shapes and their attributes.

**Grade 2**

Operations & 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 & Operations in Base Ten

- Understand place value.
- Use place value understanding and properties of operations to add and subtract.

Measurement & 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.

**Grade 3**

Operations & Algebraic Thinking

- Represent and solve problems involving multiplication and division.
- Understand properties of multiplication and the relationship between multiplication and division.
- Multiply and divide within 100.
- Solve problems involving the four operations, and identify and explain patterns in arithmetic.

Number & Operations in Base Ten

- Use place value understanding and properties of operations to perform multi-digit arithmetic.

Number & Operations-Fractions

- Develop understanding of fractions as numbers.

Measurement & Data

- Solve problems involving measurement and estimation.
- Represent and interpret data.
- Geometric measurement: understand concepts of area and relate area to multiplication and to addition
- Geometric measurement: recognize perimeter.

Geometry

- Reason with shapes and their attributes.

**Grade 4**

Operations & Algebraic Thinking

- Use the four operations with whole numbers to solve problems.
- Gain familiarity with factors and multiples.
- Generate and analyze patterns.

Number & Operations in Base Ten

- Generalize place value understanding for multi-digit whole numbers.
- Use place value understanding and properties of operations to perform multi-digit arithmetic.

Number & Operations-Fractions

- Extend understanding of fraction equivalence and ordering.
- Build fractions from unit fractions.
- Understand decimal notation for fractions, and compare decimal fractions.

Measurement & Data

- Solve problems involving measurement and conversion of measurements.
- Represent and interpret data.
- Geometric measurement: understand concepts of angles and measure angles.

Geometry

- Draw and identify lines and angles, and classify shapes by properties of their lines and angles.

**Grade 5**

Operations & Algebraic Thinking

- Write and interpret numerical expressions.
- Analyze patterns and relationships.

Number & Operations in Base Ten

- Understand the place value system.
- Perform operations with multi-digit whole numbers and with decimals to hundredths.

Number & Operations-Fractions

- Use equivalent fractions as a strategy to add and subtract fractions.
- Apply and extend previous understandings of multiplication and division.

Measurement & Data

- Convert like measurement units within a given measurement system.
- Represent and interpret data.
- Geometric measurement: understand concepts of volume.

Geometry

- Graph points on the coordinate plane to solve real-world and mathematical problems.
- Classify two-dimensional figures into categories based on their properties.