New Jersey Mathematics — Grade 1
Comprehensive Course Syllabus
Course Overview
Our New Jersey Grade 1 Mathematics course is designed around the 2023 New Jersey Student Learning Standards for Mathematics (NJSLS-M). Students develop strong foundational skills in number sense, addition and subtraction, place value, measurement, money, time, data, geometry, and mathematical problem-solving.
The course emphasizes hands-on learning, visual models, real-world applications, mathematical reasoning, and building confidence with numbers.
Numbers & Counting
Counting to 120
Students count forward from different starting numbers up to 120 and connect quantities with written numerals.
Reading & Writing Numbers
Students read, write, and represent whole numbers using objects, drawings, number lines, and numerals.
Comparing Numbers
Students compare two-digit numbers and determine which number is greater than, less than, or equal to another number.
Number Patterns
Students identify counting patterns and relationships between numbers to strengthen number sense and mental mathematics.
Place Value
Tens & Ones
Students understand that two-digit numbers are made from tens and ones and learn how each digit represents a different quantity.
Building Numbers
Students represent numbers using objects, drawings, base-ten blocks, and expanded representations.
Comparing Two-Digit Numbers
Students compare numbers by examining the tens first and then the ones when necessary.
Ten More & Ten Less
Students mentally find 10 more or 10 less than a given number and explain how the place value changes.
Addition & Subtraction
Addition Within 20
Students add numbers within 20 using counting, making ten, drawings, objects, and mental strategies.
Subtraction Within 20
Students solve subtraction problems within 20 using counting back, related addition facts, number relationships, and visual models.
Addition & Subtraction Word Problems
Students solve real-world problems involving adding, taking away, combining, separating, and comparing quantities.
Adding Three Numbers
Students solve problems involving three whole numbers with sums up to 20 using efficient strategies.
Addition & Subtraction Strategies
Students use relationships between addition and subtraction, making-ten strategies, decomposing numbers, and known facts.
Addition & Subtraction Within 100
Two-Digit Addition
Students add two-digit numbers to one-digit numbers and multiples of ten using place-value strategies and visual models.
Adding Tens & Ones
Students understand that tens are added to tens and ones to ones and learn when a new ten needs to be formed.
Subtracting Multiples of 10
Students subtract multiples of ten using place-value models and number relationships.
Mental Math
Students develop efficient mental strategies for addition and subtraction and explain the reasoning behind their solutions.
Addition & Subtraction Equations
Understanding the Equal Sign
Students understand that the equal sign means two expressions have the same value.
True & False Equations
Students determine whether addition and subtraction equations are true or false and explain their reasoning.
Missing Numbers
Students find unknown numbers in equations such as 8 + ? = 11 and ? - 3 = 5.
Fact Families
Students understand the relationship between addition and subtraction facts and use one operation to check another.
Measurement
Comparing Lengths
Students compare objects by length and arrange objects from shortest to longest or longest to shortest.
Measuring with Units
Students measure objects using equal-sized units placed end-to-end without gaps or overlaps.
Indirect Measurement
Students compare the lengths of objects by using another object as a reference.
Measurement in Everyday Life
Students apply measurement skills to familiar objects and real-world situations.
Time
Telling Time
Students tell and write time to the hour and half-hour using both analog and digital clocks.
Reading Analog Clocks
Students identify the hour and minute hands and connect clock positions with written times.
Digital Time
Students read digital clocks and connect digital representations with analog clock faces.
Money
Identifying Coins
Students identify common U.S. coins and understand their relative values.
Dollar Bills
Students identify common U.S. dollar bills and compare their values.
Equivalent Money Values
Students represent the same monetary amount in different ways using combinations of coins and bills.
Solving Money Problems
Students solve everyday money problems involving amounts up to $20 and express monetary values using appropriate notation.
Data Literacy
Collecting & Organizing Data
Students organize information into simple categories and represent data in easy-to-understand formats.
Reading Data
Students interpret data displays and identify how many items belong to each category.
Comparing Data
Students determine how many more or fewer items are in one category compared with another.
Asking Questions About Data
Students ask and answer questions about totals, categories, differences, and information represented in a data display.
Geometry & Shapes
Identifying Shapes
Students identify and describe two-dimensional and three-dimensional shapes based on their defining characteristics.
Shape Attributes
Students recognize attributes such as the number of sides, corners, faces, and overall structure of shapes.
Composing Shapes
Students combine two-dimensional and three-dimensional shapes to create larger or composite shapes.
Partitioning Shapes
Students divide circles and rectangles into two or four equal parts and use terms such as halves, fourths, and quarters.
Mathematical Reasoning & Problem Solving
Word Problem Strategies
Students identify important information, choose appropriate operations, solve problems, and explain their reasoning.
Mathematical Models
Students use objects, drawings, number lines, equations, and diagrams to represent mathematical situations.
Explaining Mathematical Thinking
Students communicate how they solved a problem using words, numbers, pictures, and mathematical representations.
Problem-Solving Practice
Students develop persistence and flexible thinking by solving problems in multiple ways.
Real-World Mathematics
Mathematics in Daily Life
Students apply addition, subtraction, measurement, time, money, and data skills to everyday situations.
Math Games & Activities
Students reinforce mathematical concepts through interactive games, puzzles, manipulatives, and problem-solving activities.
Mathematical Patterns
Students identify relationships and repeated patterns in numbers, shapes, measurements, and everyday situations.
Teaching Methodology
Our Grade 1 Mathematics classes focus on conceptual understanding, hands-on activities, mathematical reasoning, and real-world problem solving. Students learn through:
Learning Outcomes
By the end of Grade 1, students will be able to:
Assessment & Progress Tracking
Student progress is evaluated through: