5th grade is a pivotal year in math, bridging elementary and middle school ideas. Decimals, fraction operations and volume take center stage, and strong foundations from earlier grades become essential.

Key Topics Covered:

Decimals and place value, adding and multiplying fractions, order of operations, unit conversions, volume, coordinate graphing and multi-step problem solving.

Parent Tip:

5th grade sets up middle school math. Students who understand the 'why' behind each operation, not just the 'how', consistently do better.

Multiply and divide multi-digit whole numbers fluently with written methods

Add, subtract, multiply and divide fractions and decimals with understanding

Convert between customary and metric units of measurement

Find the volume of rectangular prisms with unit cubes and formulas

Plot and read points on the coordinate plane

Classify two-dimensional shapes by their properties

Student learning 5th grade math online with a live tutor at home in the USA

No.	Topic	What We Cover
01	Place Value and Powers of 10	See that each place is 10 times the place to its right and 1/10 of the place to its left, and use exponents for powers of 10.
02	Decimals to Thousandths	Read, write and model decimals to thousandths in standard, word and expanded form.
03	Comparing and Ordering Decimals	Compare decimals with <, > and = and order them on number lines.
04	Rounding Decimals	Round decimals to any place and use rounding to estimate answers.
05	Adding and Subtracting Decimals	Add and subtract decimals to hundredths with models, place value and the standard algorithm.
06	Multi-Digit Multiplication	Multiply multi-digit whole numbers fluently with the standard algorithm and check by estimating.
07	Dividing by One- and Two-Digit Divisors	Divide up to four-digit numbers by two-digit numbers with area models and partial quotients.
08	Multiplying and Dividing Decimals	Multiply and divide decimals to hundredths using models and written methods.
09	Order of Operations and Expressions	Use parentheses and brackets, evaluate expressions and write expressions from words.
10	Quarter 1 Review	Review place value, decimals and whole number operations. A mock test and parent report follow.

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Student in a tutoring session with their tutor

Warm-up (5 min)

Quick mental math and a review of the previous session

Core Teaching (25 min)

New concept from the lesson eBook, with examples and guided practice

Guided Practice (15 min)

Student works through problems with tutor support

Independent Practice (10 min)

Student completes the in-class quiz independently

Wrap-up (5 min)

Summary, 2 take-home quizzes and a preview of the next session

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No.	Topic	What We Cover
11	Factors, Multiples and Common Denominators	Find factors and multiples, and use them to find a common denominator.
12	Equivalent Fractions and Comparing	Generate equivalent fractions with fraction models and compare fractions with different denominators.
13	Adding Fractions With Unlike Denominators	Rewrite fractions with a common denominator to add them, using models and number lines.
14	Subtracting Fractions With Unlike Denominators	Subtract fractions with unlike denominators and check whether the answer is reasonable.
15	Mixed Numbers	Add and subtract mixed numbers with unlike denominators and rename as needed.
16	Fractions as Division	See that a/b means a divided by b and solve sharing problems, such as 3 pizzas among 4 people.
17	Multiplying a Fraction by a Whole Number	Find fractions of quantities with models, such as 2/3 of 12.
18	Multiplying Fractions and Scaling	Multiply fractions and mixed numbers with area models, and see why scaling makes numbers bigger or smaller.
19	Dividing Unit Fractions and Whole Numbers	Divide a unit fraction by a whole number and a whole number by a unit fraction using models.
20	Quarter 2 Review	Review fraction operations. A mock test and parent report follow.

No.	Topic	What We Cover
21	Converting Customary Units	Convert between inches, feet, yards, ounces, pounds, cups, pints and gallons in real situations.
22	Converting Metric Units	Convert between millimeters, centimeters, meters, grams, kilograms, milliliters and liters.
23	Line Plots With Fractions	Make and read line plots with measurements in halves, fourths and eighths, and solve problems with the data.
24	Understanding Volume	Pack right rectangular prisms with unit cubes to see volume as a measure of space.
25	Volume Formulas	Find volume with V = l x w x h and V = B x h, and connect them to cube counting.
26	Volume of Composite Figures	Add the volumes of non-overlapping prisms to find the volume of combined shapes.
27	Numerical Patterns	Generate two number patterns from given rules and compare how the terms relate.
28	Patterns and Ordered Pairs	Turn patterns into ordered pairs and describe the relationship between them.
29	Real-World Measurement Problems	Solve multi-step problems with unit conversions, volume and fractions.
30	Quarter 3 Review	Review measurement, volume and patterns. A mock test and parent report follow.

No.	Topic	What We Cover
31	The Coordinate Plane	Learn the x-axis, y-axis, origin and ordered pairs in the first quadrant.
32	Plotting and Reading Points	Plot and name points and find distances along gridlines, such as on a city map.
33	Graphing Real-World Problems	Graph data from real situations and explain what the points mean.
34	Classifying Two-Dimensional Figures	Sort shapes by properties such as parallel sides and right angles.
35	The Hierarchy of Quadrilaterals and Triangles	Explain why a square is also a rectangle and a rhombus, and how shape categories nest.
36	Multi-Step Problems With Fractions and Decimals	Choose operations and solve problems that mix fractions, decimals and measurement.
37	Math Modeling and Explaining Solutions	Build a model for a real situation and explain the reasoning in words and equations.
38	State Test Skills	Practice multi-part questions, show-your-work responses and test-taking strategies.
39	Mixed Review and Problem Solving	Mix skills from all four quarters in games and puzzles.
40	Grade 5 Review and Grade 6 Readiness	Review the year's key skills and preview 6th grade ideas such as ratios and percents. A mock test and parent report follow.

5th Grade Math Tutoring in the USA

By Quarter 4 of 5th Grade Math, Your Child Will...

5th Grade Math Curriculum, Quarter by Quarter

Try a Free Lesson to See the Full Program

Try a Free Lesson to See the Full Program

Try a Free Lesson to See the Full Program

Try a Free Lesson to See the Full Program