# Mathematics at P.S. 255

## Mathematics

Our emphasis in mathematics is more than factual mastery. We allow children to conceptually understand the multiple facets of mathematics. Math manipulatives and math centers in every classroom provide a hands-on approach to learning. The Math Workshop Model is used in all grades from K-5. Language Arts is part of the math program and great emphasis is placed on critical thinking skills as well as problem solving. Probability, statistics, and graphic representations are also taught. Teachers offer instruction in a small group setting that fosters the learning of mathematical concepts and provides enrichment. We have a math cluster teacher. Professional Learning is provided to our teachers who use the latest mathematical techniques.

### Mathematical Practices

- Make sense of problems and persevere in solving them.
- Reason abstractly and quantitatively.
- Construct viable arguments and critique the reasoning of others.
- Model with mathematics.
- Use appropriate tools strategically.
- Attend to precision.
- Look for and make use of structure.
- Look for and express regularity in repeated reasoning.

## Kindergarten Math Units

**Grade K Overview**

**Counting and Cardinality**

- Know number names and the count sequence.
- Count to tell the number of objects.
- Compare numbers.
- http://www.corestandards.org/Math/Content/K/CC/

**Operations and Algebraic Thinking**

- Understand addition as putting together and adding to, and understand subtraction as taking apart and taking from.
- http://www.corestandards.org/Math/Content/K/OA/

**Number and Operations in Base Ten**

- Work with numbers 11-19 to gain foundations for place value.
- http://www.corestandards.org/Math/Content/K/NBT/

- Describe and compare measurable attributes.
- Classify objects and count the number of objects in each category
- http://www.corestandards.org/Math/Content/K/MD/

**Geometry**

- Identify and describe shapes.
- Analyze, compare, create, and compose shapes.
- http://www.corestandards.org/Math/Content/K/G/

*Information provided from: **http://www.corestandards.org/**

**EnVision Topics**

- Topic 1: Numbers 0 to 5
- Topic 2: Compare Numbers 0 to 5
- Topic 3: Numbers 6 to 10
- Topic 4: Compare Numbers 0 to 10
- Topic 5: Classify and Count Data
- Topic 6: Understand Addition
- Topic 7: Understand Subtraction
- Topic 8: More Addition and Subtraction
- Topic 9: Count Numbers to 20
- Topic 10: Compose and Decompose Numbers 11 to 19
- Topic 11: Count Numbers to 100
- Topic 12: Identify and Describe Shapes
- Topic 13: Analyze, Compare and Create Shapes
- Topic 14: Describe and Compare Measurable Attributes
- Topic 15: Step Up to Grade 1

## Grade 1 Math Units

**Grade 1 Overview**

**Operations and 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.
- http://www.corestandards.org/Math/Content/1/OA

**Number and Operations in Base Ten**

- Extend the counting sequence.
- Understand place value.
- Use place value understanding and properties of operations to add and subtract.
- http://www.corestandards.org/Math/Content/1/NBT

**Measurement and Data**

- Measure lengths indirectly and by iterating length units.
- Tell and write time.
- Represent and interpret data.
- http://www.corestandards.org/Math/Content/1/MD

**Geometry**

- Reason with shapes and their attributes.
- http://www.corestandards.org/Math/Content/1/G

*Information provided from: **http://www.corestandards.org/**

**EnVision Topics **

- Topic 1: Solve Addition and Subtraction Problems to 10
- Topic 2: Develop Fluency: Addition and Subtraction Facts within 10
- Topic 3: Addition Facts to 20: Use Strategies
- Topic 4: Subtraction Facts to 20: Use Strategies
- Topic 5: Work with Addition and Subtraction Equations
- Topic 6: Represent and Interpret Data
- Topic 7: Extend the Counting Sequence
- Topic 8: Understand Place Value
- Topic 9: Compare Two-Digit Numbers
- Topic 10: Use Models and Strategies to Add with Tens and Ones
- Topic 11: Use Models and Strategies to Subtract Tens
- Topic 12: Measure Lengths
- Topic 13: Time
- Topic 14: Reason with Shapes and Their Attributes
- Topic 15: Equal Shares of Circles and Rectangles
- Topic 16: Step Up to Grade 2

## 2nd Grade Math Units

**Grade 2 Overview**

**Operations and 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.
- http://www.corestandards.org/Math/Content/2/OA

**Number and Operations in Base Ten**

- Understand place value.
- Use place value understanding and properties of operations to add and subtract.
- http://www.corestandards.org/Math/Content/2/NBT

**Measurement and Data**

- Measure and estimate lengths in standard units.
- Relate addition and subtraction to length.
- Work with time and money.
- Represent and interpret data.
- http://www.corestandards.org/Math/Content/2/MD

**Geometry**

- Reason with shapes and their attributes.
- http://www.corestandards.org/Math/Content/2/G

*Information provided from: **http://www.corestandards.org/**

**EnVision Topics**

- Topic 1: Fluently Add and Subtract Within 20
- Topic 2: Work with Equal Groups
- Topic 3: Add Within 100 Using Strategies
- Topic 4: Fluently Add Within 100
- Topic 5: Subtract Within 100 Using Strategies
- Topic 6: Fluently Subtract Within 100
- Topic 7: More Solving Problems Involving Addition and Subtraction
- Topic 8: Work with Money and Time
- Topic 9: Numbers to 1,000
- Topic 10: Add Within 1,000 Using Models and Strategies
- Topic 11: Subtract Within 1,000 Using Models and Strategies
- Topic 12: Measuring Length
- Topic 13: More Addition, Subtraction and Length
- Topic 14: Graphs and Data
- Topic 15: Shapes and Their Attributes
- Topic 16: Step Up to Grade 3

## Grade 3 Math Units

**Grade 3 Overview**

**Operations and 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.
- http://www.corestandards.org/Math/Content/3/OA

**Number and Operations in Base Ten**

- Use place value understanding and properties of operations to perform multi-digit arithmetic.
- http://www.corestandards.org/Math/Content/3/NBT

**Number and Operations—Fractions**

- Develop understanding of fractions as numbers.
- http://www.corestandards.org/Math/Content/3/NF

**Measurement and Data**

- Solve problems involving measurement and estimation of intervals of time, liquid volumes, and masses of objects.
- Represent and interpret data.
- Geometric measurement: understand concepts of area and relate area to multiplication and to addition.
- Geometric measurement: recognize perimeter as an attribute of plane figures and distinguish between linear and area measures.
- http://www.corestandards.org/Math/Content/3/MD

**Geometry**

- Reason with shapes and their attributes.
- http://www.corestandards.org/Math/Content/3/G

*Information provided from: **http://www.corestandards.org/**

**EnVision Topics**

- Topic 1: Understand Multiplication and Division of Whole Numbers
- Topic 2: Multiplication Facts: Use Patterns
- Topic 3: Apply Properties: Multiplication Facts 3, 4, 6, 7, 8
- Topic 4: Use Multiplication to Divide: Division Facts
- Topic 5: Fluently Multiply and Divide Within 100
- Topic 6: Connect Area to Multiplication and Addition
- Topic 7: Represent and Interpret Data
- Topic 8: Use Strategies and Properties to Add and Subtract
- Topic 9: Fluently Add and Subtract Within 1,000
- Topic 10: Multiply by Multiples of 10
- Topic 11: Use Operations with Whole Numbers to Solve Problems
- Topic 12: Understand Fractions as Numbers
- Topic 13: Fraction Equivalence and Comparison
- Topic 14: Solve Time, Capacity and Mass Problems
- Topic 15: Attributes of Two-Dimensional Shapes
- Topic 16: Solve Perimeter Problems
- Topic 17: Step Up to Grade 4

## 4th Grade Math Units

**Grade 4 Overview**

**Operations and Algebraic Thinking**

- Use the four operations with whole numbers to solve problems.
- Gain familiarity with factors and multiples.
- Generate and analyze patterns.
- http://www.corestandards.org/Math/Content/4/OA/

**Number and 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.
- http://www.corestandards.org/Math/Content/4/NBT/

**Number and Operations—Fractions**

- Extend understanding of fraction equivalence and ordering.
- Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers.
- Understand decimal notation for fractions, and compare decimal fractions.
- http://www.corestandards.org/Math/Content/4/NF/

**Measurement and Data**

- Solve problems involving measurement and conversion of measurements from a larger unit to a smaller unit.
- Represent and interpret data.
- Geometric measurement: understand concepts of angle and measure angles.
- http://www.corestandards.org/Math/Content/4/MD/

**Geometry**

- Draw and identify lines and angles, and classify shapes by properties of their lines and angles
- http://www.corestandards.org/Math/Content/4/G/

**EnVision Topics**

- Topic 1: Generalize Place Value Understanding
- Topic 2: Fluently Add and Subtract Multi-Digit Whole Numbers
- Topics 3: Use Strategies and Properties to Multiply by 1-Digit Numbers
- Topic 4: Use Strategies and Properties to Multiply by 2-Digit Numbers
- Topic 5: Use Strategies and Properties to Divide by 1-Digit Numbers
- Topic 6: Use Operations with Whole Numbers to Solve Problems
- Topic 7: Factors and Multiples
- Topic 8: Extend Understanding of Fraction Equivalence and Ordering
- Topic 9: Understand Addition and Subtraction of Fractions
- Topic 10: Extend Multiplication Concepts to Fractions
- Topic 11: Represent and Interpret Data on Line Plots
- Topic 12: Understand and Compare Decimals
- Topic 13: Measurement: Find Equivalence in Units of Measure
- Topic 14: Algebra: Generate and Analyze Patterns
- Topic 15: Understand Concepts and Angle and Angle Measurement
- Topic 16: Lines, Angles and Shapes
- Topic 17: Step up to Grade 5

## Grade 5 Math Units

**Grade 5 Overview**

**Operations and Algebraic Thinking**

- Write and interpret numerical expressions.
- Analyze patterns and relationships.
- http://www.corestandards.org/Math/Content/5/OA/

**Number and Operations in Base Ten**

- Understand the place value system.
- Perform operations with multi-digit whole numbers and with decimals to hundredths.
- http://www.corestandards.org/Math/Content/5/NBT

**Number and Operations—Fractions**

- Use equivalent fractions as a strategy to add and subtract fractions.
- Apply and extend previous understandings of multiplication and division to multiply and divide fractions.
- http://www.corestandards.org/Math/Content/5/NF

**Measurement and Data**

- Convert like measurement units within a given measurement system.
- Represent and interpret data.
- Geometric measurement: understand concepts of volume and relate volume to multiplication and to addition.
- http://www.corestandards.org/Math/Content/5/MD

**Geometry**

- Graph points on the coordinate plane to solve real-world and mathematical problems.
- Classify two-dimensional figures into categories based on their properties.
- http://www.corestandards.org/Math/Content/5/G

**EnVision Topics**

- Topic 1: Understand Place Value
- Topic 2: Add and Subtract Decimals to Hundredths
- Topic 3: Fluently Multiply Multi-Digit Whole Numbers
- Topic 4: Use Models and Strategies to Multiply Decimals
- Topic 5: Use Models and Strategies to Divide Whole Numbers
- Topic 6: Use Models and Strategies to Divide Decimals
- Topic 7: Use Equivalent Fractions to Add and Subtract Fractions
- Topic 8: Apply Understanding of Multiplication to Multiply Fractions
- Topic 9: apply Understanding of Division to Divide Fractions
- Topic 10: Understand Volume Concepts
- Topic 11: Convert Measurement
- Topic 12: Represent and Interpret Data
- Topic 13: Algebra: Write and Interpret Numerical Expressions
- Topic 14: Graph Points on a Coordinate Plane
- Topic 15: Algebra: Analyze Patterns and Relationships
- Topic 16: Geometric Measurement: Classify Two-Dimensional Figures
- Topic 17: Step Up to Grade 6