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

Students add, subtract, multiply, and divide whole numbers to solve word problems. This cluster builds the arithmetic skills students use before moving into fractions and larger numbers later in fourth grade.

Students learn that multiplication shows how many times bigger one number is than another. If 35 = 5 x 7, that means 35 is five times as many as 7, and they practice writing those comparisons as equations.

Students solve story problems where one amount is a certain number of times larger or smaller than another. They learn the difference between "3 times as many" and "3 more than."

Students read multi-step word problems and solve them using addition, subtraction, multiplication, and division. They use a letter to stand for the missing number and check whether their answer makes sense by estimating.

Factors and multiples are the building blocks of multiplication. Students learn to find which numbers divide evenly into a given number and which numbers it can multiply into.

Students find every pair of numbers that multiply together to make a given number, then decide whether that number is prime (only divisible by 1 and itself) or composite (divisible by other numbers too).

Students spot a rule in a number pattern and use it to predict what comes next. They also explain why the pattern works, not just what it does.

Students follow a rule to build a number or shape pattern, then notice things about the pattern the rule never actually said. For example, a rule like "add 3" might produce a list where every other number is even.

Reading and writing big numbers up to a million. Students learn how each place in a number is ten times the one to its right, and use that pattern to compare, round, and make sense of numbers they see in real life.

Each digit in a number is worth ten times more than the same digit one spot to its right. The 4 in 40 is worth ten times as much as the 4 in 4.

Students read and write large numbers three ways: as numerals (8,347), in words (eight thousand three hundred forty-seven), and broken apart by place value. They also compare two large numbers using the symbols >, =, and <.

Students round large numbers to the nearest ten, hundred, thousand, or beyond. They use what they know about place value to decide whether a number rounds up or down.

Students use what they know about hundreds, tens, and ones to add, subtract, multiply, and divide larger numbers. Place value is the tool that makes the math manageable.

Students add and subtract large whole numbers (think four- or five-digit numbers like 14,382 minus 6,791) using the step-by-step carrying and borrowing method until it becomes second nature.

Students multiply large numbers (like 1,234 times 6) by breaking them into smaller parts using place value. They show how the math works with drawings like grids or arrays, not just a final answer.

Students divide numbers up to four digits by a single digit and show their work using drawings or equations. They explain how they broke the problem apart to find the answer, including any amount left over.

Students practice converting measurements from bigger units to smaller ones, like turning feet into inches or hours into minutes. They use those conversions to solve real word problems.

Students learn how many centimeters fit in a meter, how many minutes fit in an hour, and how many grams fit in a kilogram. They practice converting a big unit into smaller ones and recording the pairs in a simple two-column table.

Students add, subtract, multiply, and divide to solve word problems about miles, minutes, cups, ounces, and dollars. They also draw number lines to show the measurements.

Students use length times width to find a rectangle's area, and add all four sides to find its perimeter. They apply both formulas to real problems, like figuring out how much carpet fits in a room or how much fencing surrounds a yard.

Students read and build graphs and line plots using data sets. They answer questions about the data, such as finding the difference between the highest and lowest values.

Students collect measurements in fractions (like half an inch or a quarter inch), plot them on a number line graph, then use that graph to add or subtract the fractions shown.

Students learn what an angle is and how to measure one in degrees. They use a protractor to find the size of angles in shapes and figures.

Two straight lines that meet at a point form an angle. Students learn what angles are and how their size is measured in degrees.

A degree is a tiny slice of a full circle turn. Students learn that a circle has 360 of these slices, and that any angle can be measured by counting how many slices fit inside it.

Angles are measured in degrees. An angle of 90 degrees, for example, means the opening has turned through 90 one-degree steps, the same way a clock hand sweeps from one minute mark to the next.

Students learn to read a protractor and measure angles in whole-number degrees. They also draw angles when given a degree measurement to work from.

When a large angle is split into smaller angles, the pieces add up to the whole. Students find missing angle sizes by writing and solving simple addition or subtraction equations.

Students learn to spot and name lines, angles, and corners in shapes, then sort those shapes by what they have in common, like parallel sides or right angles.

Students learn to draw and name the basic building blocks of geometry: points, lines, angles (sharp, square, or wide-open), and lines that meet or run side by side. Then they spot those same features in flat shapes.

Students sort flat shapes by whether their sides run parallel, meet at a right angle, or slant at other angles. Right triangles get their own category because one corner is always a perfect square corner.

Students learn to spot the fold line that splits a shape into two matching halves. They also practice drawing that line on shapes like hearts, stars, and letters.

Students learn that two fractions can look different but mean the same thing, like 1/2 and 2/4. They also compare fractions to put them in order from smallest to largest.

Students learn why 1/2 and 2/4 are the same amount, even though the numbers look different. They use diagrams to see how splitting a shape into more pieces does not change the total size of the fraction.

Students compare two fractions with different top and bottom numbers, deciding which is larger or smaller using symbols like > or <. They explain their reasoning with drawings or models, and learn that the comparison only makes sense when both fractions refer to the same whole.

Students learn to add, subtract, and multiply fractions by building on what they already know about whole numbers. They work with pieces of a shape or parts of a group to make sense of how fractions fit together.

Fractions with the same bottom number can be added or subtracted like whole numbers. Students learn that 3/4 is just three 1/4 pieces added together, and they use that idea to add, subtract, and break apart fractions.

Adding fractions means joining pieces of the same whole. Subtracting fractions means removing pieces from it. Students work with fractions that share the same-sized whole, like slices from one pizza, not pieces from two different-sized pizzas.

Students break one fraction into smaller pieces that add back up to the same amount, then write an equation to show each way they did it. A drawing or diagram backs up their thinking.

Students add and subtract mixed numbers that share the same denominator, such as 2 and 3/4 plus 1 and 3/4. They learn to convert mixed numbers into fractions first, or to add the whole number and fraction parts separately.

Students solve story problems that add or subtract fractions with the same bottom number, such as figuring out how much pizza is left after two slices are eaten. Drawings or equations help show the work.

Multiplying a fraction by a whole number means figuring out, say, how much pizza you'd have if each person gets 2/3 of a pie and there are 4 people. Students learn to solve problems like that by building on what they already know about multiplication.

Fractions are built from smaller pieces. Students learn that a fraction like 3/4 simply means three copies of the piece 1/4, the same way 3 apples means three copies of one apple.

Multiplying a fraction by a whole number means seeing 3 x (2/5) as three groups of two-fifths, which is the same as six one-fifth pieces. Students use that idea to multiply any fraction by a whole number.

Students solve story problems that involve multiplying a fraction by a whole number, such as finding how much pizza three people each get if everyone takes 2/4 of a pie. They may draw a picture or write an equation to show their work.

Students learn that fractions like 3/10 can be written as decimals like 0.3, the same way you see prices or measurements written. They practice reading and comparing those decimal numbers to figure out which is larger or smaller.

Students convert a fraction like 3/10 into 30/100, then use that skill to add fractions with tenths and hundredths together. It's the same idea as knowing a dime equals 10 cents.

Students read and write decimal numbers like 0.3 or 0.75 by connecting them to fractions with 10 or 100 in the denominator. A tenth becomes one place after the decimal point; a hundredth becomes two.

Students compare two decimal numbers, like 0.4 and 0.37, and decide which is larger, smaller, or equal. They use symbols like > and < to record their answer and explain their thinking with a drawing or number line.