What does a student learn in StateMissouri,GradeGrade 4,SubjectMathematics?

Students compare and match fractions by figuring out which ones are equal and which are larger or smaller. They work with everyday fractions like halves, thirds, fourths, and tenths.

Two fractions can name the same amount even when they use different numbers. Students show why, using a drawing, a number line, or a model like a fraction bar.

Students learn that fractions like 1/2 and 2/4 name the same amount, then practice writing their own equivalent pairs using denominators up to 100.

Students compare two fractions and explain which is larger, smaller, or equal, using the symbols >, =, or <. They also show their reasoning, not just the answer.

Students build on what they already know about adding and multiplying whole numbers, then apply those same ideas to fractions. The work moves from whole numbers to parts of a whole.

Adding and subtracting fractions gets easier when the bottom numbers match. Students solve problems that combine or separate fractions and mixed numbers that share the same denominator.

Students learn to multiply a fraction by a whole number, such as finding how much total pizza three people get if each receives two-thirds of a pie. They practice setting up and solving these problems in real contexts.

Fractions with a bottom number of 10 or 100 can be written as decimals. Students learn to switch between both forms and use a number line or grid to compare them.

Fractions and decimals are two ways to write the same amount. Students learn to see that one-half and 0.5 name the same value, so they can move between fraction and decimal form without changing what the number means.

Compare two decimal numbers, like 0.4 and 0.37, using the symbols >, =, or <. Students also explain why one number is greater, equal to, or less than the other.

Students use addition, subtraction, multiplication, and division to solve word problems with whole numbers. They figure out which operation fits the situation and show their work clearly.

Multi-step word problems ask students to add, subtract, multiply, and divide whole numbers in the right order to reach an answer. Students also check whether their answer makes sense by estimating before or after they solve.

Division problems sometimes have leftovers. Students figure out what those leftovers mean in context, decide whether to round up, drop the remainder, or use it as a fraction, and explain why their choice makes sense.

Students create a number or shape pattern using a rule, then describe what they notice about how the pattern grows or repeats.

Students follow a rule, like "add 5 each time," to build a number sequence from scratch. They practice spotting how a pattern grows so they can predict what comes next.

Students look at a number or shape pattern and write a rule that explains how it works. For example, they might write "add 5 each time" or use a simple equation to show the pattern.

Students sort flat shapes by their sides and angles, deciding whether lines are straight, parallel, or perpendicular and whether corners are right angles or not.

Students sort shapes by counting their sides and measuring their angles. A square has four equal sides and four right angles; a triangle might have two equal sides or none.

Students learn what an angle is and practice measuring angles in degrees, the way you'd read a thermometer but for turns and corners. They use a protractor to find the exact measure of an angle in a shape or diagram.

Students look at angles in shapes and diagrams, then judge whether each one is smaller or larger than a right angle and estimate how many degrees it measures before checking with a protractor.

Students measure length, weight, time, and liquid amounts, then convert between units, like turning hours into minutes or feet into inches. The focus is on moving from bigger units down to smaller ones.

Students use addition, subtraction, multiplication, and division to solve real problems involving miles, minutes, gallons, pounds, and dollars. The math is familiar; the context changes.

Students use multiplication to find how much space fills a rectangle (area) and addition to find the total distance around its edges (perimeter). Both skills show up in real problems, like figuring out how much carpet a room needs or how much fence a yard requires.

Students collect, display, and make sense of real data, reading graphs and charts to spot patterns and answer questions about what the numbers show.

Students read charts and graphs to answer questions about a data set. They look at how many times something appears, compare amounts across categories, and draw conclusions from what the numbers show.