This is the year math stretches into bigger numbers and the first real look at fractions as quantities. Students work with multi-digit multiplication and long division, then use those skills to solve word problems with money, distance, and time. Fractions become things you can compare, add, and subtract, not just slices of a pizza. By spring, they can multiply a three-digit number by a one-digit number on paper and explain why two fractions are equal.
Students work with numbers up to a million. They read them, write them, compare them, and round to a nearby ten, hundred, or thousand. Parents may see homework with very large numbers and questions about what each digit is worth.
Students add and subtract larger numbers with regrouping, then move into multiplication and division with bigger numbers. Word problems get longer and often need more than one step to solve.
Students break numbers apart into factors and list multiples. They notice which numbers are prime and spot patterns in number sequences. This builds the number sense they need for fractions later in the year.
Students compare fractions, add and subtract fractions with the same bottom number, and multiply a fraction by a whole number. They also meet decimals to the hundredths and connect them to money and fractions.
Students convert between units like feet and inches or hours and minutes. They read line plots, work with area and perimeter of rectangles, and solve word problems about distance, time, and money.
Students measure angles with a protractor and classify shapes by their sides and angles. They find lines of symmetry and learn the difference between right, acute, and obtuse angles.
Students read a math problem carefully, figure out what it's actually asking, and keep trying even when the first approach doesn't work.
Students take a real problem (like sharing 24 crayons among 4 kids) and turn it into a number equation to solve, then translate the answer back into what it means in real life.
Students explain why their math answer is correct and listen to how classmates solved the same problem. They practice agreeing or disagreeing with another student's reasoning using specific examples from their work.
Students use math to make sense of real situations: drawing a diagram to plan a garden, writing an equation to split a bill, or reading a graph to compare prices.
Students choose the right tool for the math in front of them, whether that means a calculator, pencil and paper, or a quick estimate in their head.
Students choose the right math words, label answers with the correct units (like inches or dollars), and check that their calculations are exact rather than close enough.
Students learn to spot patterns and hidden rules in math, like noticing that multiplying by 10 always adds a zero, then use that shortcut to solve new problems faster.
Students notice when a calculation or procedure keeps working the same way, then use that pattern as a shortcut or rule instead of starting from scratch each time.
| Standard | Definition | Code |
|---|---|---|
| Make Sense of Problems | Students read a math problem carefully, figure out what it's actually asking, and keep trying even when the first approach doesn't work. | NJ-MATH.MP.4.1 |
| Reason Abstractly | Students take a real problem (like sharing 24 crayons among 4 kids) and turn it into a number equation to solve, then translate the answer back into what it means in real life. | NJ-MATH.MP.4.2 |
| Construct Arguments | Students explain why their math answer is correct and listen to how classmates solved the same problem. They practice agreeing or disagreeing with another student's reasoning using specific examples from their work. | NJ-MATH.MP.4.3 |
| Model with Mathematics | Students use math to make sense of real situations: drawing a diagram to plan a garden, writing an equation to split a bill, or reading a graph to compare prices. | NJ-MATH.MP.4.4 |
| Use Tools Strategically | Students choose the right tool for the math in front of them, whether that means a calculator, pencil and paper, or a quick estimate in their head. | NJ-MATH.MP.4.5 |
| Attend to Precision | Students choose the right math words, label answers with the correct units (like inches or dollars), and check that their calculations are exact rather than close enough. | NJ-MATH.MP.4.6 |
| Use Structure | Students learn to spot patterns and hidden rules in math, like noticing that multiplying by 10 always adds a zero, then use that shortcut to solve new problems faster. | NJ-MATH.MP.4.7 |
| Express Regularity | Students notice when a calculation or procedure keeps working the same way, then use that pattern as a shortcut or rule instead of starting from scratch each time. | NJ-MATH.MP.4.8 |
Grade 4 math moves beyond basic counting. Students work with whole numbers, fractions, and other parts of numbers, using what they know about how our number system is built to solve problems and make sense of quantities.
Students use addition, subtraction, multiplication, and division to solve word problems and write number sentences that show how they got there.
Reading a bar graph or data table, then answering questions about what the numbers show. Students organize real measurements into charts and use those charts to spot patterns or compare amounts.
Students sort and describe flat shapes (like squares and triangles) and solid shapes (like cubes and cones) by their sides, angles, and faces. They also measure angles and edges to back up how they classify each shape.
Students use ratio reasoning to solve everyday problems at the fourth-grade level, like comparing quantities or figuring out how much of something is needed. This is an introductory look at how numbers relate to each other in real situations.
| Standard | Definition | Code |
|---|---|---|
| Counting and Number | Grade 4 math moves beyond basic counting. Students work with whole numbers, fractions, and other parts of numbers, using what they know about how our number system is built to solve problems and make sense of quantities. | NJ-MATH.K8.4.1 |
| Operations and Algebraic Thinking | Students use addition, subtraction, multiplication, and division to solve word problems and write number sentences that show how they got there. | NJ-MATH.K8.4.2 |
| Measurement and Data | Reading a bar graph or data table, then answering questions about what the numbers show. Students organize real measurements into charts and use those charts to spot patterns or compare amounts. | NJ-MATH.K8.4.3 |
| Geometry | Students sort and describe flat shapes (like squares and triangles) and solid shapes (like cubes and cones) by their sides, angles, and faces. They also measure angles and edges to back up how they classify each shape. | NJ-MATH.K8.4.4 |
| Ratios and Proportional Relationships | Students use ratio reasoning to solve everyday problems at the fourth-grade level, like comparing quantities or figuring out how much of something is needed. This is an introductory look at how numbers relate to each other in real situations. | NJ-MATH.K8.4.5 |
New Jersey's spring summative math test for grades 3 through 9, aligned to the NJ Student Learning Standards for Math.
Federally administered sample-based assessment in reading, mathematics, science, and writing. NAEP results inform state-by-state comparisons rather than individual student or school accountability.
Students should be fluent with multiplication facts up to 12, able to multiply larger numbers like 26 times 4, and divide with remainders. They should also compare fractions, add fractions with the same bottom number, and solve word problems with more than one step.
Pull math into everyday moments. Ask how much change is left after buying two snacks, how many minutes until dinner, or how to split a pizza fairly among five people. Five minutes of real talk beats a worksheet most nights.
Multiplication facts are the single biggest predictor of how this year goes. Practice three or four facts a night, not all of them at once. Flashcards, dice games, or quick quizzes in the car all work as long as it is short and regular.
Most teachers start with place value and multi-digit addition and subtraction, move into multiplication and division, then spend a long stretch on fractions in the winter. Measurement, area, and geometry usually anchor the spring. Fluency with facts runs underneath all of it.
Fractions are the hardest lift this year, especially comparing fractions with different bottom numbers and seeing that three-fourths and six-eighths are the same amount. Long division and multi-step word problems are close behind. Plan extra days for these.
Students are expected to show their reasoning, not just the answer. Drawing a picture, writing an equation, or explaining the steps in words helps them catch their own mistakes and builds the habits they need for harder math next year.
By June, a student ready for fifth grade can multiply a three-digit number by a one-digit number, divide within 100, add and subtract fractions with the same bottom number, and solve a two-step word problem without being walked through it.
Plenty. Fraction bars, area models, and number lines are not training wheels at this age. They are how students see why the procedures work. Pull them back only after a student can explain the math without them.
That belief hardens fast at this age. Praise the effort and the strategy, not the speed or the right answer. Let them struggle for a minute before stepping in, and talk about mistakes as information, not failure.