Place value and big numbers
Students work with numbers up to a million. They read them, write them, compare them, and round them to a nearby ten, hundred, or thousand.
This is the year math stretches into bigger numbers and the first real work with fractions. Students add and subtract numbers in the thousands, multiply and divide using what they know about groups and place value, and start comparing fractions like 3/4 and 2/3 to see which is larger. They also measure with rulers, read graphs, and sort shapes by their angles. By spring, they can solve a multi-step word problem and explain why two fractions are equal.
Students work with numbers up to a million. They read them, write them, compare them, and round them to a nearby ten, hundred, or thousand.
Students multiply numbers like 36 times 27 and divide larger numbers by a single digit. Word problems start asking them to figure out which operation to use.
Students break numbers apart into their factors and spot number patterns. They learn what makes a number prime and start noticing how multiplication tables connect.
Students compare fractions, add and subtract them, and see how a fraction like one tenth is the same as the decimal 0.1. Money and rulers help make this concrete.
Students measure length, weight, and time, and switch between units like feet and inches or hours and minutes. They read graphs and answer questions about the data.
Students sort shapes by their sides and angles, measure angles with a protractor, and find lines of symmetry in everyday objects.
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 word problem and strip it down to numbers and symbols to solve it, then translate the answer back into what it means in real life.
Students explain why their math answer is correct and listen carefully to how a classmate solved the same problem. They can spot a mistake in someone else's reasoning and explain what went wrong.
Students use math to make sense of real situations, like figuring out how much something costs or how long a trip will take. They draw pictures, write equations, or make tables to work through the problem.
Students choose the right tool for the job, whether that means a calculator, a pencil, or a quick estimate in their head. The goal is knowing which tool fits the problem, not just reaching for the same one every time.
Students say exactly what they mean: using the right math words, labeling answers with correct units (inches, dollars, minutes), and checking that their calculations are accurate.
Students spot patterns and hidden structure in numbers, shapes, and equations, then use what they notice to solve problems faster. Instead of starting from scratch each time, they recognize how the pieces fit together.
Students notice when the same steps keep working the same way and use that pattern as a shortcut. Instead of solving every problem from scratch, they spot the rule behind the repetition and apply it.
| 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. | RI-MATH.MP.4.1 |
| Reason Abstractly | Students take a word problem and strip it down to numbers and symbols to solve it, then translate the answer back into what it means in real life. | RI-MATH.MP.4.2 |
| Construct Arguments | Students explain why their math answer is correct and listen carefully to how a classmate solved the same problem. They can spot a mistake in someone else's reasoning and explain what went wrong. | RI-MATH.MP.4.3 |
| Model with Mathematics | Students use math to make sense of real situations, like figuring out how much something costs or how long a trip will take. They draw pictures, write equations, or make tables to work through the problem. | RI-MATH.MP.4.4 |
| Use Tools Strategically | Students choose the right tool for the job, whether that means a calculator, a pencil, or a quick estimate in their head. The goal is knowing which tool fits the problem, not just reaching for the same one every time. | RI-MATH.MP.4.5 |
| Attend to Precision | Students say exactly what they mean: using the right math words, labeling answers with correct units (inches, dollars, minutes), and checking that their calculations are accurate. | RI-MATH.MP.4.6 |
| Use Structure | Students spot patterns and hidden structure in numbers, shapes, and equations, then use what they notice to solve problems faster. Instead of starting from scratch each time, they recognize how the pieces fit together. | RI-MATH.MP.4.7 |
| Express Regularity | Students notice when the same steps keep working the same way and use that pattern as a shortcut. Instead of solving every problem from scratch, they spot the rule behind the repetition and apply it. | RI-MATH.MP.4.8 |
Grade 4 number work covers whole numbers, fractions, and basic negative numbers. Students read, compare, and work with these numbers using place value and number-line thinking.
Students use addition, subtraction, multiplication, and division to solve word problems and write number sentences that show their thinking.
Students read and build tables and graphs to answer questions about real data. They look for patterns in the numbers and explain what the information shows.
Students sort and measure flat and solid shapes. They describe sides, angles, and faces using what they know about geometry.
Students use ratio reasoning to solve everyday problems, like figuring out how many supplies are needed for a class or how ingredients scale in a recipe. They apply this thinking to both real-life situations and math problems at the fourth-grade level.
| Standard | Definition | Code |
|---|---|---|
| Counting and Number | Grade 4 number work covers whole numbers, fractions, and basic negative numbers. Students read, compare, and work with these numbers using place value and number-line thinking. | RI-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 their thinking. | RI-MATH.K8.4.2 |
| Measurement and Data | Students read and build tables and graphs to answer questions about real data. They look for patterns in the numbers and explain what the information shows. | RI-MATH.K8.4.3 |
| Geometry | Students sort and measure flat and solid shapes. They describe sides, angles, and faces using what they know about geometry. | RI-MATH.K8.4.4 |
| Ratios and Proportional Relationships | Students use ratio reasoning to solve everyday problems, like figuring out how many supplies are needed for a class or how ingredients scale in a recipe. They apply this thinking to both real-life situations and math problems at the fourth-grade level. | RI-MATH.K8.4.5 |
Rhode Island's spring summative math test for grades 3 through 8, modeled on MCAS and aligned to the Rhode Island Core 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 multiply and divide larger numbers, add and subtract fractions with the same bottom number, and solve word problems with more than one step. They should also measure with rulers, read graphs, and recognize shapes by their angles and sides.
Practice times tables in short bursts, five minutes at a time, until facts up to 12 come quickly. Use real situations like setting the table for 6 people with 3 utensils each, or counting tiles on the floor in rows.
Students compare fractions like 3/4 and 2/3, add fractions with the same bottom number, and see fractions in measuring cups, rulers, and pizza slices. At home, cooking and cutting food into equal parts gives plenty of practice.
Start with fluency of basic facts, then move to multiplying two-digit by one-digit numbers using area models and place value. Save long division and multi-step word problems for the second half, once fact recall is solid.
Fraction comparison and multi-step word problems tend to need a second pass. Students often confuse the size of fractions when bottom numbers differ, and they miss steps in word problems when they rush past the question being asked.
Have students read the problem twice and say what it is asking in their own words before picking numbers. Drawing a quick picture or bar model often unlocks the next step, even for problems that look hard at first.
Weave measurement into number units when possible, such as multiplying to find area or adding fractions on a ruler. Save a focused geometry block for angles, lines, and shape classification later in the year.
Ready students can multiply a three-digit number by a one-digit number, add fractions with the same bottom number, and solve a two-step word problem without prompting. They can also explain their thinking, not just give an answer.