Grade 4 Mathematics | Student Workbook Unit 1

MATHEMATICS STUDENT PDF: Download or fill in this grade’s Mathematics-only workbook. The Math lesson and problems on this page remain copyable and printable. Save completed PDF answers privately in your own PDF app. This is Unit 1, not the full annual Math textbook.

Lesson 1: Multidigit multiplication and equivalent fractions

Learn the Concept

Teacher explanation: The distributive property lets you multiply 27 x 14 as 27 x (10+4) = 270+108 = 378. Equivalent fractions name the same quantity, such as 3/4 and 6/8.

Guided Example

Read the example in the lesson explanation. Use a drawing, number line, manipulatives or written equation to explain each step to a parent or teacher.

Independent Practice: 10 Problems

1. Compute 23 x 12 with partial products.
2. Compute 34 x 15.
3. Compute 46 x 8.
4. Compute 128 x 6.
5. Simplify 6/8.
6. Write an equivalent fraction to 3/5 with denominator 20.
7. Compare 5/6 and 3/4 using common denominators.
8. Add 2/6 + 3/6.
9. Find the perimeter of a 13 cm by 8 cm rectangle.
10. Advanced: prove the distributive method gives the same result as an area model for 42 x 17.

Check Your Work

Show the steps for at least two problems and explain how you know your answer is reasonable. If you find an error, correct it and try a different example.

Advanced Scholar Extension

When these problems are easy, use the next grade’s mathematics unit or the Advanced Scholars pathway after showing mastery. Do not accelerate solely because of age.

Printable Work and Parent Help

Print or save: The Mathematics questions above can be copied or printed. For an independent, Mathematics-only fillable student workbook, use the PDF download link at the top of this page. The combined edition is archived separately and is not part of this Mathematics book.

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Grade 4 Mathematics | Five-Day Core Extension

This five-day extension strengthens the published Unit 1 with direct instruction, original practice and an independent check. It is not the complete annual Grade-level Mathematics textbook.

Day 1: Multiplication by Two-Digit Factors

Download corrected Day 1 fillable PDF (print or save)

Use partial products. For 23 × 14, 23 × (10 + 4) = 230 + 92 = 322. Estimate near 20 × 15 = 300 to check reasonableness.

• 1. 24 × 13
• 2. 36 × 12
• 3. 45 × 21
• 4. 18 boxes each hold 14 pencils.

Show equations or diagrams used and explain the reasoning. The fifth-day check is independent.

Day 2: Multi-Digit Division

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Division partitions a number into equal groups. 156 ÷ 12 = 13 since 12 × 13 = 156. Multiply the quotient by divisor to verify.

• 1. 144 ÷ 12
• 2. 168 ÷ 7
• 3. 225 ÷ 9
• 4. 96 items in packs of 8

Show equations or diagrams used and explain the reasoning. The fifth-day check is independent.

Day 3: Equivalent Fractions

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Multiply numerator and denominator by the same nonzero number to obtain an equivalent fraction. Thus 3/4 = 9/12. Compare by common denominators: 2/3 = 8/12, greater than 3/4? No, 8/12 is less than 9/12.

• 1. 2/5 as twentieths
• 2. Simplify 6/8
• 3. Compare 5/6 and 3/4.
• 4. 1/4 + 2/4

Show equations or diagrams used and explain the reasoning. The fifth-day check is independent.

Day 4: Angles and Perimeter

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An angle measures turn and is expressed in degrees. A right angle is 90 degrees. Rectangular perimeter adds all sides, or twice the sum of length and width.

• 1. Complement of 35° to 90°
• 2. Two right angles total
• 3. Perimeter of a rectangle 13 cm by 8 cm
• 4. A square has perimeter 36 cm. Side?

Show equations or diagrams used and explain the reasoning. The fifth-day check is independent.

Day 5: Independent Check

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Calculate accurately and explain why your method works.

• 1. 42 × 17
• 2. 234 ÷ 9
• 3. 3/5 expressed in twentieths
• 4. Rectangle 12 by 7: perimeter and area

Show equations or diagrams used and explain the reasoning. The fifth-day check is independent.

Spiral Review

Begin each new lesson by recalling two previous skills with different numbers. After the independent check, design a new problem involving a skill from this unit and solve it with a clear explanation.