Grade 4 Math Lessons
The fourth grade year in 20 lessons, from Place Value to One Million to Lines of Symmetry, each one with its Key facts and a closing set of questions and answers.
- 64 US Letter pages
- 20 chapters
- 105 lesson sections
- PDF to print
- Cards accepted without a PayPal account
- Instant download, up to 3 devices
About this book
In fourth grade the numbers get big and the fractions get serious. The lessons explain why a digit is worth ten times the digit to its right, how to multiply and divide multi-digit numbers, and how to add fractions and mixed numbers.
Every chapter opens with the skills it builds; in Dividing with Remainders, for instance: divide a 4-digit number by a 1-digit number, check a division answer. A Key facts box sums up what to remember. Most of the 105 lesson sections of the book are written as questions a student would ask, such as How do you check a division answer?
For a fourth grader, a parent who helps with homework, or a homeschool family that wants a complete set of chapters for the year. Pair it with the Grade 4 Math Worksheets with Answers to practice each chapter right after reading it.
Detailed contents
The 20 chapters of the Grade 4 lesson book, the sections of each lesson and the page where each chapter starts.
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1
Place Value to One Million
- What is place value?
- Why is a digit worth ten times the digit to its right?
- How do you write a number in three ways?
- How do you compare two numbers?
- Grade 4 place value lesson: questions and answers
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2
Rounding Whole Numbers
- What does rounding mean?
- How do you round a whole number?
- Does the place you pick change the answer?
- How can rounding help you estimate?
- Grade 4 rounding lesson: questions and answers
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3
Adding and Subtracting Multi-Digit Numbers
- How do you add multi-digit numbers?
- How do you subtract with regrouping?
- What do you do when there are zeros?
- How can you check your answer?
- Add subtract lesson: questions and answers
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4
Multiplicative Comparison
- What is a multiplicative comparison?
- How is it different from an additive comparison?
- How do you write an equation for a comparison?
- How do you find the unknown?
- Multiplicative comparison lesson: questions and answers
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5
Multiplying Multi-Digit Numbers
- What is a partial product?
- How do you multiply two 2-digit numbers?
- How do you multiply a 4-digit number by a 1-digit number?
- How can you multiply multiples of 10 in your head?
- Which properties make multiplying easier?
- Multiply lesson: questions and answers
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6
Dividing with Remainders
- What does it mean to divide with a remainder?
- How do partial quotients work?
- How do you divide a 4-digit number by a 1-digit number?
- How do you check a division answer?
- Divide lesson: questions and answers
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7
Multistep Word Problems
- What is a multistep word problem?
- How do you solve one step at a time?
- What do you do with a remainder?
- How can estimation check your answer?
- Grade 4 multistep problems lesson: questions and answers
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8
Factors, Multiples, Prime and Composite
- What are factors and multiples?
- How do you find all the factors of a number?
- How do you list the multiples of a number?
- What are prime and composite numbers?
- What are the divisibility patterns?
- Factors multiples lesson: questions and answers
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9
Number and Shape Patterns
- What is a pattern rule?
- How do you make a pattern from a rule?
- What features can you find that the rule does not say?
- What is an input-output table?
- How do shape patterns grow?
- Grade 4 patterns lesson: questions and answers
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10
Equivalent Fractions
- What are equivalent fractions?
- How do you make an equivalent fraction?
- How can you see equivalent fractions on a number line?
- Can you divide to find equivalent fractions?
- What mistakes should you avoid?
- Grade 4 equivalent fractions lesson: questions and answers
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11
Comparing Fractions
- How do you compare fractions?
- What if the denominators are the same?
- What if the numerators are the same?
- How do you compare with a common denominator?
- How does the benchmark help?
- What mistakes should you avoid?
- Compare fractions lesson: questions and answers
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12
Adding and Subtracting Fractions and Mixed Numbers
- How do like fractions combine?
- Can a fraction be split into smaller fractions?
- What are mixed numbers and improper fractions?
- Can you add and subtract mixed numbers?
- Grade 4 add subtract fractions lesson: questions and answers
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13
Multiplying a Fraction by a Whole Number
- What does a fraction mean as a multiple of a unit fraction?
- How do you multiply a whole number by a fraction?
- How can you show it on a number line?
- How do you solve a word problem?
- What mistakes should you avoid?
- Multiply fraction whole lesson: questions and answers
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14
Tenths, Hundredths and Decimal Notation
- What are tenths and hundredths?
- How do you write a fraction as a decimal?
- How do you add tenths and hundredths?
- How do you compare decimals?
- What mistakes should you avoid?
- Decimals lesson: questions and answers
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15
Measurement Units and Conversions
- What are measurement units?
- How do you change a larger unit into a smaller unit?
- How do you solve a measurement word problem?
- Grade 4 measurement conversions lesson: questions and answers
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16
Area and Perimeter of Rectangles
- What is the area of a rectangle?
- What is the perimeter of a rectangle?
- How do you find a missing side of a rectangle?
- How do you solve an area or perimeter word problem?
- Area perimeter lesson: questions and answers
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17
Line Plots with Fractions
- What is a line plot?
- How do you read the fractions on the number line?
- What do the stacks of dots tell you?
- How do you solve problems with a line plot?
- Grade 4 line plots lesson: questions and answers
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18
Measuring and Drawing Angles
- What is an angle?
- How do you measure an angle with a protractor?
- How do you find an unknown angle?
- Angles lesson: questions and answers
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19
Lines, Rays and Classifying Shapes
- What are points, lines, rays, and segments?
- What are parallel and perpendicular lines?
- How do you classify triangles?
- How do you classify quadrilaterals?
- Lines shapes lesson: questions and answers
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20
Lines of Symmetry
- What is a line of symmetry?
- How many lines of symmetry do shapes have?
- Do letters and everyday things have symmetry?
- Grade 4 symmetry lesson: questions and answers
Sample pages
Three pages from the Grade 4 Math Lessons, exactly as you will print them. Click to enlarge.
How to use this lesson book
Read one chapter at a time
The 20 chapters follow the order of the fourth grade year; at about 3 pages each, a chapter is one short sitting.
Copy the key facts
Write the Key facts of Number and Shape Patterns on an index card: a ready-made summary for the night before a quiz.
Try the closing questions
Cover the answers at the end of Multiplying a Fraction by a Whole Number and answer first: the best way to check understanding.
Frequently asked questions
What is in the Grade 4 lesson book?
64 US Letter pages and 20 chapters, one lesson per chapter, with 105 lesson sections in all. The full contents are listed above on this page.
Does the Grade 4 lesson book include exercises?
Each chapter ends with a short set of questions and answers. For full practice, the Grade 4 Math Worksheets with Answers follows the same 20 chapters.
Do I need the Grade 4 Math Worksheets with Answers along with the lesson book?
No, the Grade 4 Math Lessons stands on its own. But both books follow the same 20 chapters of Grade 4; together they make a complete year, lesson then practice.
How do I receive the Grade 4 Math Lessons?
Right after paying with PayPal or a card, you reach your download page, where the Grade 4 Math Lessons is waiting. An email with the link is sent too.
Can I print the Grade 4 lesson book and open it on several devices?
Yes: the 64-page PDF of the Grade 4 Math Lessons prints as often as you need and opens on three devices (computer, tablet, phone). It carries your name at the bottom of the pages.
More answers on the shop page, or through our contact form.