Place value and big numbers
Students start the year reading, writing, and comparing numbers into the thousands. They round to the nearest ten or hundred and add and subtract larger numbers using strategies that build on what they learned last year.
What does a student learn in
This is the year math stretches past adding and subtracting into multiplying and dividing. Students learn their times tables, work with fractions as real amounts on a number line, and start measuring shapes by finding area. They also read bar graphs and solve word problems that take more than one step. By spring, students can recall multiplication facts up to 10 and explain why one-half is bigger than one-fourth.
- Multiplication and division
- Fractions
- Area and perimeter
- Word problems
- Bar graphs
- Shapes
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
- 2
Multiplication and division
This is the heart of third grade math. Students learn what it means to multiply and divide, practice their times tables, and solve word problems by splitting groups evenly or putting equal groups together.
- 3
Fractions as numbers
Students see fractions as real numbers on a ruler or number line, not just slices of pizza. They compare halves, thirds, and fourths and figure out when two fractions are equal, like one half and two fourths.
- 4
Shapes, area, and perimeter
Students sort shapes by their sides and corners, then measure the space inside a rectangle and the distance around it. Tiling a floor or framing a picture is the kind of thinking they practice here.
- 5
Measurement, time, and data
Students tell time to the minute, measure liquids and weights, and read bar graphs and picture graphs. They also answer questions using the data, like which lunch choice was most popular.
Mastery Learning Standards
The required skills a student should display by the end of Grade 3.
K-8 Mathematics
K-8 Mathematics
-
Numbers and Operations
Reading, writing, and comparing whole numbers up to four digits. Students also start working with simple fractions like halves and thirds, building a foundation for the operations they use the rest of the year.
-
Algebraic Concepts
Students write simple number sentences like 4 + ? = 10 or 15 > 9 and figure out what makes them true. This is the building block for solving equations later in school.
-
Geometry
Students sort, describe, and measure flat shapes like squares and triangles and solid shapes like cubes and cones, then compare their sides, angles, and faces.
-
Measurement and Data
Students collect simple measurements and show what they found in a table or bar graph. They also learn to read those charts and draw basic conclusions from the numbers.
-
Probability and Statistics
Students look at data from experiments or surveys and describe what patterns they notice, then say whether a future event seems likely, unlikely, or somewhere in between.
| Standard | Definition | Code |
|---|---|---|
| Numbers and Operations | Reading, writing, and comparing whole numbers up to four digits. Students also start working with simple fractions like halves and thirds, building a foundation for the operations they use the rest of the year. | PA-MATH.K8.3.1 |
| Algebraic Concepts | Students write simple number sentences like 4 + ? = 10 or 15 > 9 and figure out what makes them true. This is the building block for solving equations later in school. | PA-MATH.K8.3.2 |
| Geometry | Students sort, describe, and measure flat shapes like squares and triangles and solid shapes like cubes and cones, then compare their sides, angles, and faces. | PA-MATH.K8.3.3 |
| Measurement and Data | Students collect simple measurements and show what they found in a table or bar graph. They also learn to read those charts and draw basic conclusions from the numbers. | PA-MATH.K8.3.4 |
| Probability and Statistics | Students look at data from experiments or surveys and describe what patterns they notice, then say whether a future event seems likely, unlikely, or somewhere in between. | PA-MATH.K8.3.5 |
Assessments
The state tests students at this grade and subject take.
PSSA Mathematics (Grades 3-8)
PSSA Mathematics is the spring summative math test for grades 3 through 8, aligned to PA Core Math.
- When given:
- spring
- Frequency:
- annual
Common Questions
What math should students know by the end of this year?
Students should multiply and divide within 100, understand fractions as parts of a whole, tell time to the minute, and measure length, weight, and volume. They should also solve two-step word problems and recognize shapes by their sides and angles.
How can families help with multiplication at home?
Practice the times tables in short bursts, five minutes a day. Use real objects like coins, crackers, or LEGO bricks arranged in rows and columns. Ask questions like how many cookies are on three plates of four. Quick recall of facts up to 10 by 10 is the goal.
How should multiplication and division be sequenced across the year?
Start with equal groups and arrays in the fall, then build the facts through patterns and properties. Introduce division as the inverse of multiplication once students are comfortable. Save two-step word problems and fact fluency checks for the second half of the year.
What is the best way to help with fractions at home?
Cut food into equal parts and name them out loud. Half a sandwich, a quarter of a pizza, a third of a chocolate bar. Draw fractions on paper as parts of a circle or a rectangle. Comparing two fractions of the same whole is a good next step.
Which skills usually need the most reteaching?
Fractions as numbers, not just shaded pieces, trip up many students. Division facts lag behind multiplication, and word problems with two steps often need extra time. Plan to revisit these in small groups through the spring.
What about geometry and measurement?
Students sort shapes by their sides and angles, find the perimeter of a rectangle, and measure area by counting squares. At home, walk around a rug or a table and count the units. A ruler and some graph paper go a long way.
How do students work with data and graphs this year?
Students read and make bar graphs and picture graphs, and they answer questions like how many more or how many fewer. Try this with a weather chart on the fridge or a tally of favorite snacks in the family.
How do I know students are ready for next year?
By spring, students should know their multiplication facts through 10 by 10, solve two-step word problems, compare simple fractions, and find the area and perimeter of a rectangle. If those four are solid, fourth grade math will feel manageable.