Place value and big numbers
Students start the year working with numbers up to a million. They compare them, round them, and add and subtract them using stacked methods that look like the math parents remember.
What does a student learn in
This is the year arithmetic stretches into bigger numbers and into parts of a whole. Students add and subtract large numbers with regrouping, multiply and divide with bigger factors, and start comparing fractions with different bottom numbers. They also measure shapes, find area and perimeter, and read information from tables and graphs. By spring, they can solve a multi-step word problem and explain why two fractions are equal.
- Multiplication and division
- Fractions
- Place value
- Area and perimeter
- Word problems
- Graphs and tables
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
Students multiply bigger numbers and divide with remainders. They also solve word problems with more than one step, deciding which operation fits the question.
- 3
Fractions and decimals
Students compare fractions, add and subtract fractions with the same bottom number, and see how fractions like one-half connect to decimals like 0.5. Money and measurement show up often.
- 4
Shapes, angles, and measurement
Students measure angles, sort shapes by their sides and corners, and find area and perimeter of rectangles. They also convert between units like inches and feet or minutes and hours.
- 5
Graphs and patterns
Students read and build line plots and bar graphs from real data, then describe what the numbers show. They also extend number and shape patterns and explain the rule behind them.
Mastery Learning Standards
The required skills a student should display by the end of Grade 4.
K-8 Mathematics
K-8 Mathematics
-
Numbers and Operations
Students read, write, compare, and calculate with whole numbers, fractions, and decimals. This is the foundation for all the number work in fourth grade math.
-
Algebraic Concepts
Students write and solve simple math statements, like 3 x n = 24, to find a missing number. They also compare values using symbols like < and > to show which side is larger.
-
Geometry
Students sort, label, and measure flat and solid shapes, looking at sides, angles, and faces to explain how shapes are alike or different.
-
Measurement and Data
Students collect numbers, organize them in a table or bar graph, and answer questions about what the data shows. The focus is on reading the display accurately and comparing amounts.
-
Probability and Statistics
Students look at data from charts or experiments and decide how likely something is to happen, such as whether a coin flip will land heads or tails. They also spot patterns in what the data shows.
| Standard | Definition | Code |
|---|---|---|
| Numbers and Operations | Students read, write, compare, and calculate with whole numbers, fractions, and decimals. This is the foundation for all the number work in fourth grade math. | PA-MATH.K8.4.1 |
| Algebraic Concepts | Students write and solve simple math statements, like 3 x n = 24, to find a missing number. They also compare values using symbols like < and > to show which side is larger. | PA-MATH.K8.4.2 |
| Geometry | Students sort, label, and measure flat and solid shapes, looking at sides, angles, and faces to explain how shapes are alike or different. | PA-MATH.K8.4.3 |
| Measurement and Data | Students collect numbers, organize them in a table or bar graph, and answer questions about what the data shows. The focus is on reading the display accurately and comparing amounts. | PA-MATH.K8.4.4 |
| Probability and Statistics | Students look at data from charts or experiments and decide how likely something is to happen, such as whether a coin flip will land heads or tails. They also spot patterns in what the data shows. | PA-MATH.K8.4.5 |
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
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
Common Questions
What math should my child be able to do by the end of this year?
Students should read, write, and compare numbers into the hundred thousands, add and subtract big numbers fluently, and multiply and divide with larger numbers. They should also work with simple fractions, compare them, and add fractions with the same bottom number.
How can I help with math at home in just a few minutes a day?
Use real life. Ask students to figure out change at the store, double a recipe, or split a pizza into equal parts. Time short trips and ask how many minutes are left. Five minutes of this beats a worksheet.
My child still struggles with multiplication facts. Is that a problem?
Yes, this is the year facts need to be quick. Almost every new topic, from multi-digit multiplication to fractions to area, leans on knowing them. Spend a few minutes a day on flashcards or a facts app until recall is fast.
What does my child need to know about fractions this year?
Students learn that fractions name equal parts of a whole, and that one half and two fourths are the same amount. They compare fractions, add and subtract fractions with the same bottom number, and start seeing fractions on a number line.
How should I sequence the year so students are ready for fractions?
Lock in multiplication and division facts in the first quarter, then build place value and multi-digit operations. Fractions land more cleanly once students see them as repeated groups of a unit fraction, so the multiplication work pays off later.
Which topics usually need the most reteaching?
Multi-digit multiplication, long division with remainders, and comparing fractions with different bottom numbers are the usual sticking points. Plan spiral review into warm-ups so these skills get touched every week, not just during their unit.
What does mastery of measurement and data look like by spring?
Students should solve word problems with time, money, distance, and weight, including converting between units like feet and inches. They should also read and build bar graphs and line plots, and answer questions using the data shown.
How do I know if students are ready for fifth grade math?
Check three things. They can multiply and divide multi-digit numbers without a calculator, they can add and subtract fractions with like denominators and explain equivalent fractions, and they can solve two-step word problems and show their reasoning.
What about geometry and shapes this year?
Students name and sort shapes by their sides and angles, identify parallel and perpendicular lines, and find lines of symmetry. At home, point out right angles in door frames or symmetry in leaves and letters.