What does a student learn in StateTennessee,GradeGrade 3,SubjectMathematics?

Multiplication and division show up in everyday situations, like splitting a bag of apples equally or figuring out how many chairs fill a row. Students learn to recognize those situations and solve them.

Multiplication means making equal groups. Students read 4 x 7 as "4 groups of 7" and find the total, whether those groups are objects in a box, inches on a string, or anything else that comes in equal amounts.

Students learn what each number in a division problem actually means. In 28 divided by 7, they can explain whether the 7 describes the number of groups or how many go in each group.

Students use multiplication and division to solve word problems, finding a missing number in equations like 3 x ? = 24 or 96 ÷ 6 = ?. Problems involve arranging objects in rows, measuring equal groups, or splitting quantities evenly.

Students find the missing number in a multiplication or division equation, like figuring out what goes in the blank in 6 x __ = 42. Numbers stay within 100.

Multiplication and division are two sides of the same idea. Students learn rules that make multiplying easier, like changing the order of numbers, and use what they know about multiplication to solve division problems.

Multiplying in a different order gives the same answer, and grouping numbers differently does not change the product. Students use these shortcuts as thinking tools when solving multiplication and division problems.

Division is multiplication looked at from the other direction. If students know 4 x 6 = 24, they can use that same fact to solve 24 / 4 without starting from scratch.

Students practice multiplication and division with numbers up to 100. They work toward knowing these facts quickly, so the math doesn't slow them down when problems get harder.

Students practice multiplication and division facts up to 100 until the answers come quickly from memory. Knowing that 6 times 7 equals 42 also means knowing that 42 divided by 7 equals 6.

Students solve word problems using addition, subtraction, multiplication, and division. They also spot number patterns, like why every other number in a sequence is even, and explain why those patterns work.

A word problem that takes two steps to solve, like figuring out how much money is left after buying two different things. Students write an equation using a letter for the missing number, then check whether their answer makes sense by estimating.

Students look at a multiplication chart, spot patterns in the rows and columns, and explain why those patterns work. For example, they notice that multiplying by 2 always gives an even number and connect that to what they know about how multiplication works.

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

Students round a whole number to the nearest ten or hundred, then show where it lands on a number line to explain the choice.

Students add and subtract numbers up to 1,000 quickly and accurately. They use what they know about hundreds, tens, and ones to work through problems without having to count on their fingers or guess.

Students multiply a single number by a round number like 20, 50, or 80. Knowing that 5 x 60 is the same as 5 x 6 tens helps them solve these problems without guessing.

Students read and write numbers up to 100,000 in three ways: as a regular numeral, spelled out in words, and broken apart by place value (like 23,456 written as 20,000 + 3,000 + 400 + 50 + 6).

Students learn that fractions are actual numbers on a number line, not just shaded pieces of a circle. They practice placing halves, thirds, and fourths in order and comparing them the same way they compare whole numbers.

Students learn that fractions describe equal pieces of a whole. One-fourth means a shape or object split into 4 equal parts, and three-fourths means 3 of those parts.

Students place fractions on a number line, showing where one-half or three-fourths falls between two whole numbers. This builds the idea that fractions are real amounts, not just pieces of a shape.

Students mark a fraction like 1/4 on a number line by splitting the space from 0 to 1 into equal parts and pointing to where that fraction lands.

Students place fractions on a number line by counting equal jumps from zero. After jumping the right number of times, the landing spot shows where that fraction lives on the line.

Two fractions are equivalent when they take up the same amount of space, like 1/2 and 2/4 of the same pizza. Students compare fractions by thinking about how big each piece is, not just the numbers written down.

Two fractions are equivalent when they take up the same amount of space or land on the same spot on a number line. Students learn to recognize when different-looking fractions, like 1/2 and 2/4, actually name the same amount.

Two fractions can look different but name the same amount. Students find pairs like 1/2 and 2/4, then use a picture or diagram to show why both fractions land on the same point.

A whole number like 3 can be written as a fraction, such as 3/1. Students also recognize when a fraction like 4/4 equals exactly 1.

Students compare two fractions that share a top or bottom number, deciding which is larger or smaller using the >, =, or < symbols. The fractions have to refer to the same whole to make a fair comparison.

Students practice reading clocks, measuring liquids, and weighing objects, then use those measurements to solve word problems involving time, volume, and mass.

Students read clocks to the nearest minute and solve word problems about how much time has passed. They also work out totals and change using dollars and cents.

Students read a clock to the nearest minute and figure out how much time has passed between two events. They add and subtract minutes to solve real problems, like how long until lunch or how many minutes a game lasted.

Students count coins (quarters, dimes, nickels, pennies) to solve simple money problems using the cent sign, and solve dollar-amount problems up to $1,000 using the dollar sign.

Students weigh objects and measure liquids using grams, kilograms, milliliters, and liters. They also practice making close guesses before measuring, using familiar objects like a water bottle or a textbook as a reference point.

Students read and build simple graphs and charts, then answer questions about what the data shows, such as how many more students chose one option over another.

Students draw picture graphs and bar graphs to organize information into categories, then use those graphs to answer questions like "how many more" or "how many fewer," sometimes in two steps.

Students measure objects to the nearest half or quarter inch, then plot each measurement on a number line to show how the results are spread out.

Students measure flat shapes by counting how many same-size squares fit inside them. They also learn that multiplying the side lengths gives the same answer as counting the squares one by one.

Students learn that flat shapes take up space, and that space can be measured. Area is the count of same-size squares needed to cover a shape completely.

A unit square is a square where each side is 1 unit long. Students learn that this shape covers exactly one square unit of area and can tile a surface to measure how much space it takes up.

Covering a flat shape with same-size square tiles, without gaps or overlaps, measures its area. The total number of tiles it takes is the area, counted in square units.

Students find the area of a shape by counting how many same-size squares fit inside it. Those squares might be square inches, square centimeters, or any other equal-sized unit.

Students figure out the area of a rectangle by multiplying its side lengths instead of counting every square inside it. That connection ties what they know about multiplication to how space is measured.

Students cover a rectangle with same-size squares, count those squares to find the area, then check that multiplying the two side lengths gives the same number.

Students multiply the length and width of a rectangle to find its area, the same way you'd figure out how many square tiles cover a kitchen floor. They also work the other way, using a rectangle to show why multiplication works.

Students use rows of tiles to show why multiplying one side of a rectangle by two combined lengths gives the same answer as multiplying each length separately and adding the results. It connects a multiplication shortcut to something they can see and touch.

Students break an irregular shape into smaller rectangles, find the area of each piece, and add them together. This works for real floor plans, garden beds, and other shapes that aren't simple squares.

Perimeter is the distance around the outside edge of a shape. Students learn to measure that boundary as a single line, and tell it apart from area, which covers the inside of the shape.

Students add up the side lengths of shapes to find the total distance around them. They also figure out a missing side length and compare rectangles that share a perimeter but cover different amounts of space.

Students sort and compare shapes by their sides, angles, and other features, grouping shapes that share the same properties even when they look different in size or orientation.

Squares, rectangles, and rhombuses all belong to the same four-sided shape family called quadrilaterals. Students sort shapes by shared traits and spot four-sided shapes that don't fit neatly into any of those smaller groups.

Students divide a circle, square, or rectangle into equal pieces and write what fraction one piece is of the whole. Two shapes can be cut differently and still have equal-sized pieces.

A polygon is a closed, flat shape made of straight sides, like a triangle or rectangle. Students look at a figure and decide whether it qualifies, checking that all sides are straight, connected, and fully closed.