Math at P.S. 62Q

PS 62's Vision is to provide students with challenging academics and real world applications that shape their personal pathway to success. Therefore, we believe that young children need many opportunities to engage collaboratively with math through games and problem solving activities in order to feel comfortable with problem solving and number sense. Our philosophy is for all students at PS 62 to gain a conceptual understanding of the big ideas (below) and to be innovative in how they apply their knowledge. Students are challenged to show multiple representations or models in response to a task rather than simply provide an answer and move on. We believe that when there is equitable opportunity for every student to participate and experience success, they can feel hopeful for a future career that may or may not include mathematics.

To this end, the daily math lesson will often include 'Number Talks' to develop student discourse as they make sense of algorithms and word problems. In this forum, students learn to agree or disagree without judgment and be ready to talk about their reasoning. Students are encouraged to value mistakes as learning opportunities and to persevere in problem solving even when things get difficult. They work together and alone, depending on the task and get regular feedback from their teacher. At PS 62 we follow an explicit teaching model which is about making learning intentions and success criteria clear. The teacher models with clear explanations as well as providing guided practice to build accuracy and understanding and then independent practice while providing immediate feedback. 

Grade K

Numbers represent quantity.
Addition and subtraction equations.
Description of 2-D and 3-D shapes.

Fluency Goal

• Add and subtract within 5

Grade 1

Strategies to develop addition and subtraction within 20
Links between addition and subtraction and counting, number line, construction and destruction
Understanding of length and its units
Composition of plane and solid figures

Fluency Goals

• Fluently add and subtract within 10

Grade 2

Understanding of Base ten notation and place value
Counting by 5’s, 10’s, 100’s
Use of tools to measure and the understanding of standard units of measure
Analyze shapes by their sides and angles
Use building and drawing as a foundation for understanding area, volume, congruence, similarity, and symmetry in later grades

Fluency Goals

• Fluently add and subtract within 20 using mental strategies.
• By end of Grade 2, know from memory all sums of two one-digit numbers.
• Fluently add and subtract within 100 using strategies based on place value, properties of operations, and/or the relationship between addition and subtraction.

Grade 3

Students understand the relationship between multiplication and division
Develop understanding of fractions as a part relative to a whole
Area is an attribute of 2-D regions, and the connection of rectangular area to multiplication
Students relate fraction work to geometry by expressing the area of part of a shape as a unit fraction of the whole

Fluency Goals

• Fluently multiply and divide within 100, using strategies such as the relationship between multiplication and division (e.g., knowing that 8 × 5 = 40, one knows 40 ÷ 5 = 8) or properties of operations. By the end of Grade 3, know from memory all products of two one-digit numbers.
• Fluently add and subtract within 1000 using strategies and algorithms based on place value, properties of operations, and/or the relationship between addition and subtraction.

Grade 4

Multiplication procedures work, based on place value and properties of operations and use them to solve problems.
Different fractions can be equivalent
Fractions are a composition of unit fractions
Shapes can be classified by properties of their lines and angles

Fluency goals

• Fluently add and subtract multi-digit whole numbers using the standard algorithm.

Grade 5

Developing fluency with addition and subtraction of fractions, and developing understanding of the multiplication of fractions and of division of fractions in limited cases
Extending division to 2-digit divisors, integrating decimal fractions into the place value system and developing understanding of operations with decimals to hundredths, and developing fluency with whole number and decimal operations
Developing understanding of volume.

Fluency goals

• Fluently multiply multi-digit whole numbers using a standard algorithm.

Students must learn to perform calculations and solve problems both quickly and accurately. At each grade level in the Standards, one or two fluencies are expected: