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Learning Standards Standards

What does a student learn in ?

This is the year math jumps from adding and subtracting to thinking in groups. Students learn their multiplication and division facts and use them to solve everyday problems. They also start working with fractions as real numbers on a ruler, not just slices of pizza. By spring, they can recall most times tables through ten and explain why one half is the same as two fourths.

  • Multiplication facts
  • Division
  • Fractions
  • Word problems
  • Area and perimeter
  • Bar graphs
Source: Vermont Common Core State 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. 1

    Multiplication and division basics

    Students learn what it means to multiply and divide using groups of objects, arrays, and simple word problems. By the end of this stretch, most students can recall small multiplication facts quickly.

  2. 2

    Solving two-step problems

    Students put addition, subtraction, multiplication, and division together to solve word problems that take more than one step. They also start spotting patterns in the multiplication table.

  3. 3

    Understanding fractions

    Students meet fractions as equal parts of a whole and as points on a number line. They compare fractions like one half and two fourths and figure out when two fractions name the same amount.

  4. 4

    Measurement, time, and data

    Students tell time to the minute, measure length and liquid volume, and read bar graphs and picture graphs. They also find the area of rectangles by counting squares.

  5. 5

    Shapes and perimeter

    Students sort shapes by their sides and angles, and they measure the distance around a shape. They wrap up the year by using everything they have learned in longer problems.

Mastery Learning Standards
The required skills a student should display by the end of Grade 3.
Standards for Mathematical Practice

  • Make Sense of Problems

    VT-MATH.MP.3.1

    Students read a problem all the way through, figure out what it's asking, and keep trying even when the first approach doesn't work.

  • Reason Abstractly

    VT-MATH.MP.3.2

    Students take a word problem and turn it into numbers and symbols to solve it, then explain what the answer actually means in real life. Math and meaning work together.

  • Construct Arguments

    VT-MATH.MP.3.3

    Students explain why their math answer makes sense, then listen to a classmate's explanation and say whether they agree or where they see a mistake.

  • Model with Mathematics

    VT-MATH.MP.3.4

    Students use math to make sense of real situations, like figuring out how many chairs fit in a room or whether there is enough money to buy two things. They draw, write, or calculate to work through the problem.

  • Use Tools Strategically

    VT-MATH.MP.3.5

    Students choose the right tool for a math problem, whether that means grabbing a ruler, doing a quick estimate in their head, or working it out on paper.

  • Attend to Precision

    VT-MATH.MP.3.6

    Students choose words, labels, and calculations carefully so their math work says exactly what they mean. This includes using the right unit (inches, not just "numbers") and checking that computations are correct.

  • Use Structure

    VT-MATH.MP.3.7

    Students notice patterns and hidden structure in math problems, like spotting that a shape can be split into smaller pieces or that a number pattern repeats. Then they use what they notice to solve the problem faster or more reliably.

  • Express Regularity

    VT-MATH.MP.3.8

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

K-8 Mathematics Content

  • Counting and Number

    VT-MATH.K8.3.1

    Grade 3 students work with whole numbers, fractions, and basic number relationships. They count, compare, and place numbers on a number line, and start making sense of fractions as equal parts of a shape or group.

  • Operations and Algebraic Thinking

    VT-MATH.K8.3.2

    Third graders add, subtract, multiply, and divide to solve word problems. They learn to write number sentences that show how the pieces of a problem fit together.

  • Measurement and Data

    VT-MATH.K8.3.3

    Students read and build bar graphs, picture graphs, and simple tables to answer questions about real data. They compare totals, find differences, and draw basic conclusions from what the numbers show.

  • Geometry

    VT-MATH.K8.3.4

    Students sort, name, and measure flat shapes like squares and triangles, and solid shapes like cubes and cylinders. They describe what makes each shape different using sides, angles, and faces.

  • Ratios and Proportional Relationships

    VT-MATH.K8.3.5

    Students use ratio reasoning to solve everyday math problems at the third-grade level. This means comparing quantities, like figuring out how many apples for every orange, to find a missing amount or check if two groups are in balance.

Assessments
The state tests students at this grade and subject take.
State Summative

VTCAP: Mathematics (Grades 3-9)

Vermont's spring summative math test for grades 3 through 9, aligned to Vermont's Common Core-based math standards.

When given:
spring
Frequency:
annual
Official source
Common Questions
  • What math will students learn this year?

    The big focus is multiplication and division up to 10 times 10, along with the start of fractions. Students also work with area, measurement, and reading bar graphs and picture graphs. By spring, most word problems will involve more than one step.

  • How can I help with multiplication facts at home?

    Short, regular practice works better than long sessions. Five minutes a day with flashcards, a dice game, or quick questions in the car adds up fast. Ask students to explain how they got an answer, not just say it.

  • What does mastery of multiplication look like by the end of the year?

    Students should know products up to 10 times 10 from memory and use them to solve word problems. They should also see the link between multiplication and division, so 7 times 8 and 56 divided by 8 feel like the same fact family.

  • My child is struggling with fractions. What can I do?

    Start with real things students can see and touch. Cut a sandwich into halves, fourths, and eighths. Fold a piece of paper. Ask which piece is bigger and why. The goal is for students to picture fractions as equal parts of one whole before working on paper.

  • How should I sequence the year?

    Most teachers start with addition and subtraction review, then move into multiplication and division concepts, then facts fluency. Fractions usually come in the second half, after students are comfortable with equal groups. Area, measurement, and data can be woven in throughout.

  • Which topics usually need the most reteaching?

    Word problems with two steps and fraction comparisons tend to be the stickiest. Students often pick the wrong operation or compare fractions by the top number alone. Plan to revisit both across the year rather than treating them as one-and-done units.

  • How do I help with word problems at home?

    Ask students to read the problem out loud and draw a quick picture before doing any math. A simple sketch of groups, bars, or a number line often shows whether to add, subtract, multiply, or divide. The picture matters more than neat handwriting.

  • How will I know if students are ready for next year?

    By June, students should solve two-step word problems, know multiplication and division facts within 100, compare simple fractions with the same top or bottom number, and find the area of a rectangle by multiplying its sides. Reading a bar graph and telling time to the minute should also feel routine.