Welcome to the Mt. Sinai Elementary School's Mathematics Program!
At Mt. Sinai Elementary School, we are dedicated to providing our students with a strong foundation in mathematics that prepares them for success in future academic endeavors and real-life problem solving. Our curriculum is designed to align with the New York State Next Generation Mathematics Standards, ensuring that students not only meet but exceed the required expectations in math learning.
In grades K-4, Mt. Sinai Elementary utilizes enVision Math by Savvas, a research-based program that is thoughtfully designed to foster a deep understanding of mathematics through engaging, real-world applications. This program helps students develop a strong number sense, critical thinking skills, and the ability to apply mathematical concepts in meaningful ways.
enVision Math supports our focus on New York State's Next Generation Mathematics Standards by offering a balanced approach that includes conceptual understanding, procedural fluency, and real-world problem solving. The curriculum emphasizes interactive learning, making math engaging and accessible for young learners. It encourages students to explore mathematical concepts through visual models, hands-on activities, and rigorous problem-solving strategies. With a focus on mastery, students build upon prior knowledge, developing a deep and enduring understanding of math that serves as a solid foundation for their future learning.
At Mt. Sinai Elementary, we are committed to ensuring that every child becomes a confident and competent mathematician, ready to take on the challenges of the future.
Curriculum Overview
In Kindergarten, instructional time should focus on two areas:
(1) developing a sound sense of numbers by representing and comparing numbers, initially using sets of objects; (2) recognizing and describing shapes and using spatial relations.
More learning time in Kindergarten should be devoted to numbers than to any other topic. Please note that while every standard/topic in the grade level has not been included in this overview, all standards should be included in instruction
1. Through their learning in the Counting and Cardinality and Operations and Algebraic Thinking domains, students:
2. Through their learning in the Geometry and Measurement and Data domains, students:
*Note: Explore indicates that the topic is an important concept that builds the foundation for progression toward mastery in later grades. Repeated experiences with these concepts, with immersion in the concrete, are vital.
Units of Study
Topic 1 Numbers 0 to 5 | Topic 8 More Addition and Subtraction |
Topic 2 Compare Numbers 0 to 5 | Topic 9 Count Numbers to 20 |
Topic 3 Numbers 6 to 10 | Topic 10 Compose and Decompose Numbers 11 to 19 |
Topic 4 Compare Numbers 0 to 10 | Topic 11 Count Numbers to 100 |
Topic 5 Classify and Count Data | Topic 12 Identify and Describe Shapes |
Topic 6 Understand Addition | Topic 13 Analyze, Compare, and Create Shapes |
Topic 7 Understand Subtraction | Topic 14 Describe and Compare Measurable Attributes |
NYS NextGen Math Standards - Kindergarten
Curriculum Overview
In Grade 1, instructional time should focus on three areas:
(1) developing understanding of addition, subtraction, and strategies for addition and subtraction within 20;
(2) developing understanding of whole number relationships and place value, including grouping in tens and ones; and
(3) developing understanding of linear measurement and measuring lengths as iterating length units.
1. Through their learning in the Operations and Algebraic Thinking domain, students:
2. Through their learning in the Number and Operations in Base Ten domain, students:
3. Through their learning in the Measurement and Data domain, students:
*Note: Students should apply the transitivity principle of indirect measurement to make comparisons, but they need not use this technical term.
Savvas Topics and Objectives
Topic 1 Understand Addition and Subtraction | Topic 9 Compare Two-Digit Numbers |
Topic 2 Fluently Add and Subtract Within 10 | Topic 10 User Models and Strategies to Add Tens and Ones |
Topic 3 Addition Facts to 20 | Topic 11 Use Models and Strategies to Subtract Tens |
Topic 4 Subtraction Facts to 20 | Topic 12 Measure Lengths |
Topic 5 Addition and Subtraction Equations | Topic 13 Time and Money |
Topic 6 Represent and Interpret Data | Topic 14 Reason with Shapes and Their Attributes |
Topic 7 Extend the Counting Sequence | Topic 15 Equal Shares of Circles and Rectangles |
Topic 8 Understanding Place Value |
Curriculum Overview
In Grade 2, instructional time should focus on two areas:
Grade 2, instructional time should focus on four areas: (1) extending understanding of base-ten notation; (2) building fluency with addition and subtraction; (3) using standard units of measure; and (4) analyzing and classifying two dimensional shapes as polygons or non-polygons. Please note that while every standard/topic in the grade level has not been included in this overview, all standards should be included in instruction.
(1) Through their learning in the Number and Operations in Base Ten domain, students:
(2) Through their learning in the Operations and Algebraic Thinking and Numbers and Operations in Base Ten domains, students:
(3) Through their learning in the Measurement and Data domain, students:
(4) Through their learning in the Geometry domain, students:
Savvas Topics and Objectives
Topic 1 Fluently Add and Subtract within 20 | Topic 9 Numbers to 1,000 |
Topic 2 Work with Equal Groups | Topic 10 Add Within 1,000 Using Models and Strategies |
Topic 3 Add Within 100 Using Strategies | Topic 11 Subtract Within 1,000 Using Models and Strategies |
Topic 4 Fluently Add Within 100 | Topic 12 Measuring Length |
Topic 5 Subtract Within 100 Using Strategies | Topic 13 Shapes and Their Attributes |
Topic 6 Fluently Subtract Within 100 | Topic 14 More Addition, Subtraction and Length |
Topic 7 More Solving Problems Involving Addition and Subtraction | Topic 15 Graphs and Data |
Topic 8 Work with Time and Money |
2nd Grade NYSED Next Gen Math Standards
Curriculum Overview
In Third Grade, instructional time should focus on two areas:
Grade 3, instructional time should focus on four areas:
(1) developing understanding of multiplication and division and strategies for multiplication and division within 100;
(2) developing understanding of fractions, especially unit fractions (fractions with numerator 1);
(3) developing understanding of the structure of rectangular arrays and of area; and
(4) describing and analyzing polygons based on the number of sides and vertices.
*Please note that while every standard/topic in the grade level has not been included in this overview, all standards should be included in instruction.
1. Through their learning in the Operations and Algebraic Thinking domain, students:
2. Through their learning in the Number Sense and Operations—Fractions domain, students:
3. Through their learning in the Measurement and Data domain, students:
4. Through their learning in the Geometry domain, students:
Savvas Topics and Objectives
Topic 1 Understand Multiplication and Division of Whole Numbers | Topic 9 Fluently Add and Subtract within 1,000 |
Topic 2 Multiplication Facts: Use Patterns | Topic 10 Multiply by Multiples of 10 |
Topic 3 Multiplication Facts for 3, 4, 6, 7, 8 | Topic 11 Use Operations with Whole Numbers to Solve Problems |
Topic 4 Use Multiplication to Divide | Topic 12 Understand Fractions as Numbers |
Topic 5 Fluently Multiply and Divide within 100 | Topic 13 Fraction Equivalence and Comparison |
Topic 6 Connect Area to Multiplication and Addition | Topic 14 Solve Time, Capacity, and Mass Problems |
Topic 7 Represent and Interpret Data | Topic 15 Attributes of Two-Dimensional Shapes |
Topic 8 Use Strategies and Properties to Add and Subtract | Topic 16 Solve Perimeter Problems |
3rd Grade NYSED Next Gen Math Standards
Grades 3-4 math assessments
All students in New York State grades 3-4 will take a computer based math test in the spring of that year.
2024 released questions:
Curriculum Overview
In Fourth Grade, instructional time should focus on two areas:
(1) developing a sound sense of numbers by representing and comparing numbers, initially using sets of objects; (2) recognizing and describing shapes and using spatial relations.
More learning time in Kindergarten should be devoted to numbers than to any other topic. Please note that while every standard/topic in the grade level has not been included in this overview, all standards should be included in instruction
1. Through their learning in the Number and Operations in Base Ten domain, students:
2. Through their learning in the Numbers and Operations—Fractions domain, students:
3. Through their learning in the Geometry domain, students:
Savvas Topics and Objectives
4th Grade NYS Next Gen Math Standards
Grades 4 math assessments
All students in New York State grade 4 will take a computer based math test in the spring of that year.
2024 released questions:
Grade 4: NYS Regents 2024 Grade 4 Released Questions
Curriculum Overview
In Kindergarten, instructional time should focus on two areas:
(1) developing a sound sense of numbers by representing and comparing numbers, initially using sets of objects; (2) recognizing and describing shapes and using spatial relations.
More learning time in Kindergarten should be devoted to numbers than to any other topic. Please note that while every standard/topic in the grade level has not been included in this overview, all standards should be included in instruction
1. Through their learning in the Counting and Cardinality and Operations and Algebraic Thinking domains, students:
2. Through their learning in the Geometry and Measurement and Data domains, students:
*Note: Explore indicates that the topic is an important concept that builds the foundation for progression toward mastery in later grades. Repeated experiences with these concepts, with immersion in the concrete, are vital.
Units of Study
Topic 1 Numbers 0 to 5 | Topic 8 More Addition and Subtraction |
Topic 2 Compare Numbers 0 to 5 | Topic 9 Count Numbers to 20 |
Topic 3 Numbers 6 to 10 | Topic 10 Compose and Decompose Numbers 11 to 19 |
Topic 4 Compare Numbers 0 to 10 | Topic 11 Count Numbers to 100 |
Topic 5 Classify and Count Data | Topic 12 Identify and Describe Shapes |
Topic 6 Understand Addition | Topic 13 Analyze, Compare, and Create Shapes |
Topic 7 Understand Subtraction | Topic 14 Describe and Compare Measurable Attributes |
NYS NextGen Math Standards - Kindergarten
Curriculum Overview
In Grade 1, instructional time should focus on three areas:
(1) developing understanding of addition, subtraction, and strategies for addition and subtraction within 20;
(2) developing understanding of whole number relationships and place value, including grouping in tens and ones; and
(3) developing understanding of linear measurement and measuring lengths as iterating length units.
1. Through their learning in the Operations and Algebraic Thinking domain, students:
2. Through their learning in the Number and Operations in Base Ten domain, students:
3. Through their learning in the Measurement and Data domain, students:
*Note: Students should apply the transitivity principle of indirect measurement to make comparisons, but they need not use this technical term.
Savvas Topics and Objectives
Topic 1 Understand Addition and Subtraction | Topic 9 Compare Two-Digit Numbers |
Topic 2 Fluently Add and Subtract Within 10 | Topic 10 User Models and Strategies to Add Tens and Ones |
Topic 3 Addition Facts to 20 | Topic 11 Use Models and Strategies to Subtract Tens |
Topic 4 Subtraction Facts to 20 | Topic 12 Measure Lengths |
Topic 5 Addition and Subtraction Equations | Topic 13 Time and Money |
Topic 6 Represent and Interpret Data | Topic 14 Reason with Shapes and Their Attributes |
Topic 7 Extend the Counting Sequence | Topic 15 Equal Shares of Circles and Rectangles |
Topic 8 Understanding Place Value |
Curriculum Overview
In Grade 2, instructional time should focus on two areas:
Grade 2, instructional time should focus on four areas: (1) extending understanding of base-ten notation; (2) building fluency with addition and subtraction; (3) using standard units of measure; and (4) analyzing and classifying two dimensional shapes as polygons or non-polygons. Please note that while every standard/topic in the grade level has not been included in this overview, all standards should be included in instruction.
(1) Through their learning in the Number and Operations in Base Ten domain, students:
(2) Through their learning in the Operations and Algebraic Thinking and Numbers and Operations in Base Ten domains, students:
(3) Through their learning in the Measurement and Data domain, students:
(4) Through their learning in the Geometry domain, students:
Savvas Topics and Objectives
Topic 1 Fluently Add and Subtract within 20 | Topic 9 Numbers to 1,000 |
Topic 2 Work with Equal Groups | Topic 10 Add Within 1,000 Using Models and Strategies |
Topic 3 Add Within 100 Using Strategies | Topic 11 Subtract Within 1,000 Using Models and Strategies |
Topic 4 Fluently Add Within 100 | Topic 12 Measuring Length |
Topic 5 Subtract Within 100 Using Strategies | Topic 13 Shapes and Their Attributes |
Topic 6 Fluently Subtract Within 100 | Topic 14 More Addition, Subtraction and Length |
Topic 7 More Solving Problems Involving Addition and Subtraction | Topic 15 Graphs and Data |
Topic 8 Work with Time and Money |
2nd Grade NYSED Next Gen Math Standards
Curriculum Overview
In Third Grade, instructional time should focus on two areas:
Grade 3, instructional time should focus on four areas:
(1) developing understanding of multiplication and division and strategies for multiplication and division within 100;
(2) developing understanding of fractions, especially unit fractions (fractions with numerator 1);
(3) developing understanding of the structure of rectangular arrays and of area; and
(4) describing and analyzing polygons based on the number of sides and vertices.
*Please note that while every standard/topic in the grade level has not been included in this overview, all standards should be included in instruction.
1. Through their learning in the Operations and Algebraic Thinking domain, students:
2. Through their learning in the Number Sense and Operations—Fractions domain, students:
3. Through their learning in the Measurement and Data domain, students:
4. Through their learning in the Geometry domain, students:
Savvas Topics and Objectives
Topic 1 Understand Multiplication and Division of Whole Numbers | Topic 9 Fluently Add and Subtract within 1,000 |
Topic 2 Multiplication Facts: Use Patterns | Topic 10 Multiply by Multiples of 10 |
Topic 3 Multiplication Facts for 3, 4, 6, 7, 8 | Topic 11 Use Operations with Whole Numbers to Solve Problems |
Topic 4 Use Multiplication to Divide | Topic 12 Understand Fractions as Numbers |
Topic 5 Fluently Multiply and Divide within 100 | Topic 13 Fraction Equivalence and Comparison |
Topic 6 Connect Area to Multiplication and Addition | Topic 14 Solve Time, Capacity, and Mass Problems |
Topic 7 Represent and Interpret Data | Topic 15 Attributes of Two-Dimensional Shapes |
Topic 8 Use Strategies and Properties to Add and Subtract | Topic 16 Solve Perimeter Problems |
3rd Grade NYSED Next Gen Math Standards
Grades 3-4 math assessments
All students in New York State grades 3-4 will take a computer based math test in the spring of that year.
2024 released questions:
Curriculum Overview
In Fourth Grade, instructional time should focus on two areas:
(1) developing a sound sense of numbers by representing and comparing numbers, initially using sets of objects; (2) recognizing and describing shapes and using spatial relations.
More learning time in Kindergarten should be devoted to numbers than to any other topic. Please note that while every standard/topic in the grade level has not been included in this overview, all standards should be included in instruction
1. Through their learning in the Number and Operations in Base Ten domain, students:
2. Through their learning in the Numbers and Operations—Fractions domain, students:
3. Through their learning in the Geometry domain, students:
Savvas Topics and Objectives
4th Grade NYS Next Gen Math Standards
Grades 4 math assessments
All students in New York State grade 4 will take a computer based math test in the spring of that year.
2024 released questions:
Grade 4: NYS Regents 2024 Grade 4 Released Questions