What math will students work on this year?

Students work with larger whole numbers, multi-digit multiplication and division, fractions and decimals, and shapes and angles. They also solve word problems with the four operations and start reading data from tables and graphs.

How can I help my child practice multiplication at home?

Quick daily practice beats long sessions. Spend five minutes a day on facts up to 12 times 12 using flash cards, a deck of cards, or quick questions in the car. Once facts feel automatic, try problems like 6 times 47 on paper.

My child says fractions are confusing. What can I do?

Pull out real objects. Cut a sandwich into fourths, measure half a cup of rice, or split a chocolate bar into equal pieces. Ask which is bigger, one half or three eighths, and have students explain how they know.

How should I sequence the year?

Most teachers start with place value and multi-digit operations, move into multiplication and division strategies, then spend a long stretch on fractions and decimals. Geometry, measurement, and data tend to land in the last third of the year, with word problems woven throughout.

Which topics usually need the most reteaching?

Long division, equivalent fractions, and comparing fractions with different bottom numbers are the common sticking points. Building strong place-value understanding early pays off, because most fraction and decimal confusion traces back to it.

Do students still need to memorize math facts?

Yes. Fluent recall of multiplication and division facts frees up brainpower for harder problems like long division and fractions. Students who still count on fingers for 7 times 8 will struggle with multi-step work later in the year.

What does mastery look like by June?

Students can multiply a four-digit number by a one-digit number, divide with remainders, add and subtract fractions with the same bottom number, and solve two-step word problems. They can also measure angles and classify shapes by their sides and angles.

How do I know if my child is ready for next year?

Ask students to solve a word problem like sharing 84 stickers among 6 friends and explain their thinking. If they can pick the right operation, work it out, and check whether the answer makes sense, they are in good shape.

How much should students explain their thinking?

A lot. Getting the right answer matters, but explaining why an answer makes sense is just as important this year. At home, ask students to talk through one problem a night instead of racing through a worksheet.

What does a student learn in ?

This is the year math stretches into bigger numbers and fractions start to feel like real quantities. Students work with numbers in the thousands, multiply and divide larger amounts, and compare fractions by finding common pieces. They also measure, read graphs, and reason about angles and shapes. By spring, students can solve a multi-step word problem with multiplication and explain why two fractions are equal.

Multi-digit multiplication
Long division
Fractions
Word problems
Angles and shapes
Measurement

Source: Connecticut Connecticut Core Standards

Year at a glance

How the year usually goes. Every school and district set their own curriculum, so treat this as a guide, not official pacing.

1
Place value and big numbers
Students work with numbers into the hundred thousands and millions. They read them, write them, compare them, and round them to make quick estimates before doing the full math.
2
Addition, subtraction, and multi-step problems
Students add and subtract large numbers and tackle word problems that take more than one step. They learn to check whether an answer makes sense before moving on.
3
Multiplication and division
Students multiply larger numbers and divide with remainders. They start to see factors, multiples, and how to break a hard problem into smaller pieces they can handle.
4
Fractions and decimals
Students compare fractions, add and subtract them, and connect fractions like one half to the decimal 0.5. Money and measurement give them places to practice.
5
Measurement, shapes, and angles
Students measure length, weight, and time, and convert between units like feet and inches. They sort shapes by their sides and angles and measure angles with a protractor.

Mastery Learning Standards

The required skills a student should display by the end of Grade 4.

Standards for Mathematical Practice

Make Sense of Problems

CT-MATH.MP.4.1

Students read a math problem carefully, figure out what it's actually asking, and keep trying even when the first approach doesn't work.
Reason Abstractly

CT-MATH.MP.4.2

Students take a word problem and translate it into numbers and symbols to solve it, then explain what the answer actually means in real life.
Construct Arguments

CT-MATH.MP.4.3

Students explain why their math answer makes sense, using numbers or diagrams to back it up. They also listen to classmates' reasoning and point out where the thinking holds up or falls short.
Model with Mathematics

CT-MATH.MP.4.4

Students use math to make sense of real problems, like figuring out the cost of groceries or reading a bus schedule. They draw diagrams, write equations, or use other tools to work through situations they actually encounter.
Use Tools Strategically

CT-MATH.MP.4.5

Students choose the right tool for the job, whether that means using a calculator, sketching on paper, or making a quick estimate. The focus is on knowing when each approach makes sense.
Attend to Precision

CT-MATH.MP.4.6

Students use the right math words, label answers with the correct units (like inches or dollars), and check that their calculations are exact. Sloppy shortcuts lead to wrong answers, so precision matters at every step.
Use Structure

CT-MATH.MP.4.7

Students notice patterns and hidden structure in numbers, shapes, and equations, then use what they spot to solve problems faster or check if an answer makes sense.
Express Regularity

CT-MATH.MP.4.8

Students notice when the same steps keep showing up in a problem and use that pattern as a shortcut. Instead of starting from scratch each time, they ask why the pattern works and apply it to new problems.

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.	CT-MATH.MP.4.1
Reason Abstractly	Students take a word problem and translate it into numbers and symbols to solve it, then explain what the answer actually means in real life.	CT-MATH.MP.4.2
Construct Arguments	Students explain why their math answer makes sense, using numbers or diagrams to back it up. They also listen to classmates' reasoning and point out where the thinking holds up or falls short.	CT-MATH.MP.4.3
Model with Mathematics	Students use math to make sense of real problems, like figuring out the cost of groceries or reading a bus schedule. They draw diagrams, write equations, or use other tools to work through situations they actually encounter.	CT-MATH.MP.4.4
Use Tools Strategically	Students choose the right tool for the job, whether that means using a calculator, sketching on paper, or making a quick estimate. The focus is on knowing when each approach makes sense.	CT-MATH.MP.4.5
Attend to Precision	Students use the right math words, label answers with the correct units (like inches or dollars), and check that their calculations are exact. Sloppy shortcuts lead to wrong answers, so precision matters at every step.	CT-MATH.MP.4.6
Use Structure	Students notice patterns and hidden structure in numbers, shapes, and equations, then use what they spot to solve problems faster or check if an answer makes sense.	CT-MATH.MP.4.7
Express Regularity	Students notice when the same steps keep showing up in a problem and use that pattern as a shortcut. Instead of starting from scratch each time, they ask why the pattern works and apply it to new problems.	CT-MATH.MP.4.8

Standards for Mathematical Practice

Make Sense of Problems

CT-MATH.MP.4.1

Students read a math problem carefully, figure out what it's actually asking, and keep trying even when the first approach doesn't work.
Reason Abstractly

CT-MATH.MP.4.2

Students take a word problem and translate it into numbers and symbols to solve it, then explain what the answer actually means in real life.
Construct Arguments

CT-MATH.MP.4.3

Students explain why their math answer makes sense, using numbers or diagrams to back it up. They also listen to classmates' reasoning and point out where the thinking holds up or falls short.
Model with Mathematics

CT-MATH.MP.4.4

Students use math to make sense of real problems, like figuring out the cost of groceries or reading a bus schedule. They draw diagrams, write equations, or use other tools to work through situations they actually encounter.
Use Tools Strategically

CT-MATH.MP.4.5

Students choose the right tool for the job, whether that means using a calculator, sketching on paper, or making a quick estimate. The focus is on knowing when each approach makes sense.
Attend to Precision

CT-MATH.MP.4.6

Students use the right math words, label answers with the correct units (like inches or dollars), and check that their calculations are exact. Sloppy shortcuts lead to wrong answers, so precision matters at every step.
Use Structure

CT-MATH.MP.4.7

Students notice patterns and hidden structure in numbers, shapes, and equations, then use what they spot to solve problems faster or check if an answer makes sense.
Express Regularity

CT-MATH.MP.4.8

Students notice when the same steps keep showing up in a problem and use that pattern as a shortcut. Instead of starting from scratch each time, they ask why the pattern works and apply it to new problems.

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.	CT-MATH.MP.4.1
Reason Abstractly	Students take a word problem and translate it into numbers and symbols to solve it, then explain what the answer actually means in real life.	CT-MATH.MP.4.2
Construct Arguments	Students explain why their math answer makes sense, using numbers or diagrams to back it up. They also listen to classmates' reasoning and point out where the thinking holds up or falls short.	CT-MATH.MP.4.3
Model with Mathematics	Students use math to make sense of real problems, like figuring out the cost of groceries or reading a bus schedule. They draw diagrams, write equations, or use other tools to work through situations they actually encounter.	CT-MATH.MP.4.4
Use Tools Strategically	Students choose the right tool for the job, whether that means using a calculator, sketching on paper, or making a quick estimate. The focus is on knowing when each approach makes sense.	CT-MATH.MP.4.5
Attend to Precision	Students use the right math words, label answers with the correct units (like inches or dollars), and check that their calculations are exact. Sloppy shortcuts lead to wrong answers, so precision matters at every step.	CT-MATH.MP.4.6
Use Structure	Students notice patterns and hidden structure in numbers, shapes, and equations, then use what they spot to solve problems faster or check if an answer makes sense.	CT-MATH.MP.4.7
Express Regularity	Students notice when the same steps keep showing up in a problem and use that pattern as a shortcut. Instead of starting from scratch each time, they ask why the pattern works and apply it to new problems.	CT-MATH.MP.4.8

K-8 Mathematics Content

Counting and Number

CT-MATH.K8.4.1

Students count, compare, and work with whole numbers, fractions, and basic negative numbers at a fourth-grade level. That means reading numbers in the millions, understanding what a fraction means, and placing both on a number line.
Operations and Algebraic Thinking

CT-MATH.K8.4.2

Students practice adding, subtracting, multiplying, and dividing to solve word problems and write number sentences that show their thinking.
Measurement and Data

CT-MATH.K8.4.3

Reading a bar graph, a table, or a line plot, then answering real questions from what the data shows. Students also learn to spot what the numbers mean as a whole, not just one at a time.
Geometry

CT-MATH.K8.4.4

Students sort and measure flat shapes like squares and triangles, and solid shapes like cubes and cones. They use what they notice about sides, angles, and faces to group and describe each shape.
Ratios and Proportional Relationships

CT-MATH.K8.4.5

Students use ratio reasoning to solve everyday math problems, like figuring out how many items you get per dollar or how to scale a recipe up or down. The focus is on recognizing when two quantities are related by a fixed rate and using that relationship to find a missing value.

Standard	Definition	Code
Counting and Number	Students count, compare, and work with whole numbers, fractions, and basic negative numbers at a fourth-grade level. That means reading numbers in the millions, understanding what a fraction means, and placing both on a number line.	CT-MATH.K8.4.1
Operations and Algebraic Thinking	Students practice adding, subtracting, multiplying, and dividing to solve word problems and write number sentences that show their thinking.	CT-MATH.K8.4.2
Measurement and Data	Reading a bar graph, a table, or a line plot, then answering real questions from what the data shows. Students also learn to spot what the numbers mean as a whole, not just one at a time.	CT-MATH.K8.4.3
Geometry	Students sort and measure flat shapes like squares and triangles, and solid shapes like cubes and cones. They use what they notice about sides, angles, and faces to group and describe each shape.	CT-MATH.K8.4.4
Ratios and Proportional Relationships	Students use ratio reasoning to solve everyday math problems, like figuring out how many items you get per dollar or how to scale a recipe up or down. The focus is on recognizing when two quantities are related by a fixed rate and using that relationship to find a missing value.	CT-MATH.K8.4.5

K-8 Mathematics Content

Counting and Number

CT-MATH.K8.4.1

Students count, compare, and work with whole numbers, fractions, and basic negative numbers at a fourth-grade level. That means reading numbers in the millions, understanding what a fraction means, and placing both on a number line.
Operations and Algebraic Thinking

CT-MATH.K8.4.2

Students practice adding, subtracting, multiplying, and dividing to solve word problems and write number sentences that show their thinking.
Measurement and Data

CT-MATH.K8.4.3

Reading a bar graph, a table, or a line plot, then answering real questions from what the data shows. Students also learn to spot what the numbers mean as a whole, not just one at a time.
Geometry

CT-MATH.K8.4.4

Students sort and measure flat shapes like squares and triangles, and solid shapes like cubes and cones. They use what they notice about sides, angles, and faces to group and describe each shape.
Ratios and Proportional Relationships

CT-MATH.K8.4.5

Students use ratio reasoning to solve everyday math problems, like figuring out how many items you get per dollar or how to scale a recipe up or down. The focus is on recognizing when two quantities are related by a fixed rate and using that relationship to find a missing value.

Standard	Definition	Code
Counting and Number	Students count, compare, and work with whole numbers, fractions, and basic negative numbers at a fourth-grade level. That means reading numbers in the millions, understanding what a fraction means, and placing both on a number line.	CT-MATH.K8.4.1
Operations and Algebraic Thinking	Students practice adding, subtracting, multiplying, and dividing to solve word problems and write number sentences that show their thinking.	CT-MATH.K8.4.2
Measurement and Data	Reading a bar graph, a table, or a line plot, then answering real questions from what the data shows. Students also learn to spot what the numbers mean as a whole, not just one at a time.	CT-MATH.K8.4.3
Geometry	Students sort and measure flat shapes like squares and triangles, and solid shapes like cubes and cones. They use what they notice about sides, angles, and faces to group and describe each shape.	CT-MATH.K8.4.4
Ratios and Proportional Relationships	Students use ratio reasoning to solve everyday math problems, like figuring out how many items you get per dollar or how to scale a recipe up or down. The focus is on recognizing when two quantities are related by a fixed rate and using that relationship to find a missing value.	CT-MATH.K8.4.5

Assessments

The state tests students at this grade and subject take.

State Summative

Smarter Balanced Assessment: Mathematics (Grades 3-8)

Connecticut's spring summative math test for grades 3 through 8, aligned to the Connecticut Core Standards for Mathematics.

When given:: spring
Frequency:: annual

Official source

National Monitoring

NAEP (National Assessment of Educational Progress)

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.

When given:: biennial in winter
Frequency:: every two years

Official source

Common Questions

What math will students work on this year?
Students work with larger whole numbers, multi-digit multiplication and division, fractions and decimals, and shapes and angles. They also solve word problems with the four operations and start reading data from tables and graphs.
How can I help my child practice multiplication at home?
Quick daily practice beats long sessions. Spend five minutes a day on facts up to 12 times 12 using flash cards, a deck of cards, or quick questions in the car. Once facts feel automatic, try problems like 6 times 47 on paper.
My child says fractions are confusing. What can I do?
Pull out real objects. Cut a sandwich into fourths, measure half a cup of rice, or split a chocolate bar into equal pieces. Ask which is bigger, one half or three eighths, and have students explain how they know.
How should I sequence the year?
Most teachers start with place value and multi-digit operations, move into multiplication and division strategies, then spend a long stretch on fractions and decimals. Geometry, measurement, and data tend to land in the last third of the year, with word problems woven throughout.
Which topics usually need the most reteaching?
Long division, equivalent fractions, and comparing fractions with different bottom numbers are the common sticking points. Building strong place-value understanding early pays off, because most fraction and decimal confusion traces back to it.
Do students still need to memorize math facts?
Yes. Fluent recall of multiplication and division facts frees up brainpower for harder problems like long division and fractions. Students who still count on fingers for 7 times 8 will struggle with multi-step work later in the year.
What does mastery look like by June?
Students can multiply a four-digit number by a one-digit number, divide with remainders, add and subtract fractions with the same bottom number, and solve two-step word problems. They can also measure angles and classify shapes by their sides and angles.
How do I know if my child is ready for next year?
Ask students to solve a word problem like sharing 84 stickers among 6 friends and explain their thinking. If they can pick the right operation, work it out, and check whether the answer makes sense, they are in good shape.
How much should students explain their thinking?
A lot. Getting the right answer matters, but explaining why an answer makes sense is just as important this year. At home, ask students to talk through one problem a night instead of racing through a worksheet.