5th grade math
Strategies
Strategy · 5th gradeHow do you add fractions with different denominators?
To add or subtract fractions with different denominators, kids rename them so the pieces are the same size. 1/2 + 1/3 becomes 3/6 + 2/6, which is 5/6. Fracti…
Strategy · 5th gradeHow do you graph points on a coordinate grid?
A coordinate grid is two number lines that cross at zero. An ordered pair like (3, 4) gives a point's address: start at (0, 0), go over 3 along the bottom (t…
Strategy · 4th grade, 5th gradeHow do decimal grids (hundredths grids) work?
A decimal grid is a 10-by-10 square that stands for 1 whole. Each column is one tenth (0.1) and each small square is one hundredth (0.01). Kids shade squares…
Strategy · 5th gradeHow do 5th graders divide fractions?
In 5th grade, kids divide only with unit fractions (fractions with 1 on top, like 1/3). They answer two kinds of questions with drawings: "How many 1/3s fit…
Strategy · 5th gradeWhy is a fraction the same as division?
In 5th grade, kids learn that a fraction is a division problem: 3/4 means 3 ÷ 4. If 3 pizzas are shared equally by 4 people, each person gets 3/4 of a pizza.
Strategy · 4th grade, 5th gradeHow do you make a line plot with fractions?
A line plot shows data on a number line, with an X above the line for each measurement. In 4th and 5th grade the measurements are fractions like 1/8, 1/4, an…
Strategy · 4th grade, 5th gradeHow do kids convert measurements in 5th grade?
Kids use two-column tables to convert between units in the same system, like feet and inches or meters and centimeters. The table shows the pattern (1 foot =…
Strategy · 5th gradeWhat does "multiplication as scaling" mean?
Scaling means thinking of multiplication as resizing. Multiplying by a fraction less than 1 shrinks a number, multiplying by a fraction greater than 1 stretc…
Strategy · 5th gradeWhat is GEMS in math? (Order of operations)
The order of operations is the agreed order for working out a math problem: grouping symbols first, then exponents, then multiplication and division, then ad…
Strategy · 4th grade, 5th gradeWhat is the partial quotients method for division?
Partial quotients is a way to divide by taking away easy chunks, like 10 or 20 groups of the divisor at a time, and keeping track of how many groups you took…
Strategy · 4th grade, 5th gradeWhy does the decimal point "move" when you multiply by 10?
When you multiply by 10, every digit moves one place to the left on a place value chart, because each place is worth 10 times the place to its right. Dividin…
Strategy · 3rd grade, 4th grade, 5th gradeHow do kids round decimals with a number line?
To round on a number line, kids write the two "neighbor" numbers the number sits between, mark the halfway point, and see which neighbor it is closer to. 3.4…
Strategy · 3rd grade, 4th grade, 5th gradeIs a square a rectangle? (The shape family tree)
A shape hierarchy is a family tree for shapes. Every shape in a group has all the features of the groups above it. A square has 4 right angles, so it is a re…
Strategy · 3rd grade, 4th grade, 5th gradeWhat is a tape diagram in math?
A tape diagram (also called a bar model) is a rectangle split into equal parts that shows how the numbers in a word problem fit together. For "3/8 of 24 stic…
Strategy · 5th gradeHow do kids learn volume in 5th grade?
Volume is how many unit cubes fit inside a solid. Kids count the cubes in one layer (length × width), then multiply by the number of layers (height). That is…
Strategy · 3rd grade, 4th grade, 5th gradeWhat is the area model for multiplication?
The area model is a way to multiply by drawing a rectangle, splitting each number into tens and ones, and multiplying the smaller pieces. Adding the pieces g…
Worksheets
Worksheet · 5th gradeArea model: bigger multiplication and division
Three-digit by two-digit multiplication and division with area model boxes already drawn. For 5th graders.
Worksheet · 5th gradeAdding fractions with unlike denominators
Fraction strips, eight add and subtract problems (including mixed numbers), and estimating with benchmark fractions.
Worksheet · 5th gradeCoordinate grid: plot points and patterns
Plot five points to draw a shape, then follow two rules to make ordered pairs and graph them.
Worksheet · 5th gradeDecimal grids: add, subtract, and multiply
Shade hundredths grids to add, subtract, and multiply decimals, then estimate and solve five more problems.
Worksheet · 5th gradeDividing with unit fractions
Split bars to see how many pieces fit and how big each share is, plus two word problems.
Worksheet · 5th gradeFractions are division
Share pizzas and brownies equally, write division as fractions and fractions as division, and solve a word problem.
Worksheet · 5th gradeLine plots with fractions
Make a line plot of ten measurements in eighths of a liter, then answer four questions using fraction math.
Worksheet · 5th gradeConverting measurements
Finish four conversion tables (inches, centimeters, ounces, milliliters), then convert and solve two word problems.
Worksheet · 5th gradeMultiplying as scaling
Predict whether a product is bigger, smaller, or the same without multiplying, then a photo-resizing word problem.
Worksheet · 5th gradeOrder of operations practice
Ten expressions with parentheses, brackets, and braces, plus writing expressions from words. About 15 minutes.
Worksheet · 5th gradePartial quotients division practice
Six division problems with two-digit divisors. Each one has space to list easy facts first. One has a remainder.
Worksheet · 5th gradePowers of 10 and place value
Multiply and divide by 10, 100, and 1,000, use exponents, write decimals in expanded form, and compare decimals.
Worksheet · 5th gradeRounding decimals on a number line
Eight rounding problems with a number line for each, to the nearest whole number, tenth, and hundredth.
Worksheet · 5th gradeThe quadrilateral family tree
Fill in the shape family tree, decide always, sometimes, or never, and name every group each shape belongs to.
Worksheet · 5th gradeFraction word problems with tape diagrams
Six word problems about fractions of amounts, with space to draw a tape diagram for each. The last one is a challenge.
Worksheet · 5th gradeVolume with cubes and layers
Count cubes by layers, use the volume formulas, and find the volume of two boxes pushed together.