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Learning Standards Standards

What does a student learn in ?

This is the year math shifts from adding and subtracting to thinking in groups. Students learn their multiplication facts and start dividing, using them to solve everyday word problems. They also meet fractions for the first time as real numbers, not just slices of a pizza. By spring, students can multiply within 100 from memory and tell which fraction is bigger, like 2/3 or 3/4.

  • Multiplication
  • Division
  • Fractions
  • Word problems
  • Area and perimeter
  • Graphs and tables
Source: New Hampshire New Hampshire College and Career Ready 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 with small numbers. They start by grouping objects and skip counting, then move toward writing equations like 4 x 6 and 24 ÷ 4.

  2. 2

    Fact fluency and word problems

    Students memorize their multiplication facts up to 10 x 10 and use them to solve story problems. Expect homework with two-step problems that mix adding, subtracting, multiplying, and dividing.

  3. 3

    Introduction to fractions

    Students see fractions as equal parts of a whole and as points on a number line. They compare simple fractions like 1/2 and 2/3 and notice when two fractions name the same amount.

  4. 4

    Measurement, time, and graphs

    Students tell time to the minute, measure with rulers, and weigh things in grams and ounces. They read bar graphs and picture graphs and answer questions about the data.

  5. 5

    Shapes, area, and perimeter

    Students sort shapes by their sides and angles, then find the area of rectangles by counting square units. They also measure perimeter, the distance around a shape.

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

  • Make Sense of Problems

    NH-MATH.MP.3.1

    Students read a math problem carefully, figure out what it is asking, and keep trying even when the first approach does not work.

  • Reason Abstractly

    NH-MATH.MP.3.2

    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. Math and meaning go together.

  • Construct Arguments

    NH-MATH.MP.3.3

    Students explain why their math answer is correct and listen to how classmates solved the same problem. They ask questions and push back when something doesn't add up.

  • Model with Mathematics

    NH-MATH.MP.3.4

    Students use math to make sense of real situations, like figuring out how much something costs or splitting a snack equally. The math they practice in class connects to problems they actually run into outside school.

  • Use Tools Strategically

    NH-MATH.MP.3.5

    Students choose the right tool for the job, whether that's a ruler, a calculator, pencil and paper, or a rough mental estimate. The goal is knowing which tool fits the problem, not just reaching for the same one every time.

  • Attend to Precision

    NH-MATH.MP.3.6

    Students choose words and units carefully when solving problems. They label answers with the right units (inches, minutes, dollars) and use math terms correctly so their reasoning is clear.

  • Use Structure

    NH-MATH.MP.3.7

    Students notice patterns and rules inside math problems, like how a multiplication table repeats or how shapes fit together, and use those patterns to solve new problems faster.

  • Express Regularity

    NH-MATH.MP.3.8

    Students notice when the same steps keep giving the same result, then use that pattern as a shortcut. For example, if adding zero never changes a number, students stop re-checking and just know it.

K-8 Mathematics Content

  • Counting and Number

    NH-MATH.K8.3.1

    Third graders work with whole numbers, simple fractions, and the relationships between them. They use number-system thinking to count, compare, and reason about quantities they meet in class.

  • Operations and Algebraic Thinking

    NH-MATH.K8.3.2

    Third graders solve word problems using addition, subtraction, multiplication, and division. They also write number sentences that show what a problem means before they solve it.

  • Measurement and Data

    NH-MATH.K8.3.3

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

  • Geometry

    NH-MATH.K8.3.4

    Students sort and describe flat shapes (like squares and triangles) and solid shapes (like cubes and cylinders) by their sides, angles, and faces. They also measure and classify shapes using what they know about geometry.

  • Ratios and Proportional Relationships

    NH-MATH.K8.3.5

    Students use ratio reasoning to solve everyday math problems, like figuring out how many items are in each group when things are divided equally. This builds the foundation for fractions and proportional thinking in later grades.

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

NHSAS: Mathematics (Grades 3-8)

New Hampshire's spring summative math test for grades 3 through 8, aligned to New Hampshire's College and Career Ready Standards for Math.

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 100, along with understanding fractions as real numbers, not just pieces of a pizza. Students also work with time, measurement, area, and reading simple graphs.

  • How can I help with multiplication facts at home?

    Short and steady beats long and painful. Five minutes a day with flashcards, dice games, or skip-counting in the car builds fluency faster than a weekend cram session. Focus on the 2s, 5s, and 10s first, then 3s and 4s.

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

    Students should know multiplication and division facts within 100 from memory, solve two-step word problems, compare simple fractions, and find the area of a rectangle by multiplying side lengths. They should also tell time to the minute and measure to the nearest half inch.

  • My child says fractions are confusing. What helps?

    Fractions click faster with food and rulers than with worksheets. Cut a sandwich into thirds, fold paper into fourths, or compare halves and quarters on a measuring cup. Talking about which piece is bigger and why does most of the work.

  • How should I sequence the year?

    Most teachers start with addition and subtraction review, move into multiplication and division concepts, then bring in fractions around midyear. Area, measurement, and data work well in the second half once students are comfortable multiplying.

  • Which topics usually need the most reteaching?

    Fractions on a number line and the difference between area and perimeter trip up the most students. Word problems with two steps are also a common stumbling block, especially when students rush past what the question is actually asking.

  • How do I know if my child is on track for next year?

    By spring, students should solve a problem like 7 times 8 without counting, share half of something fairly, and read a bar graph without help. If basic facts still feel slow in May, a few extra weeks of practice over the summer goes a long way.

  • How much should students explain their thinking?

    A lot. Students are expected to show how they got an answer and to spot mistakes in someone else's work. Asking students to defend a wrong answer on purpose is a quick way to build that habit.