Grade 4 Math Lessons
Teach factors, fractions, place value, operations with place value, and more with these free lessons from our complete, standards-aligned math program, Amplify Desmos Math.
Grades: 4th Grade

Factors and Multiples
Students learn about factors and multiples as they explore visual patterns that grow! Your class will apply their understanding of factors and multiples to solve real-world patterns–like building a home for hamsters with tubes of different lengths. They'll play Polygraph games to identify factors, multiples, and prime and composite numbers, and share what they notice with their partners.
- How Does It Grow?
- Hamster Homes
- Factor or Multiple?
Fraction Equivalence and Comparison
Students make sense of fractions as numbers using physical representations and diagrams. Your class will help a beaver chop through logs of wood to deepen their understanding of fraction strips and number lines, and learn to explain how fractions with different denominators can be represented on the same number line. These lessons are designed to be taught alone or in sequence. If you teach the lessons together, your class will start with Investigate: Building Your Own Number Line, where they'll explore fractions and number lines in the real world. See the full sub-unit here.
- Investigate: Building Your Own Number Line
- Fraction Strips
- Chop It
- All Kinds of Fractions
Extending Operations to Fractions
Students use various strategies to add and subtract fractions and mixed numbers with like denominators, and learn to use diagrams and expressions to multiply fractions.
- Pizza Problems
- Equal Groups of Fractions
- Math Pizzeria
From Hundredths to Hundred Thousands
Students represent and compare decimals to the hundredths by reasoning about their size. Your class will explore base ten blocks and learn to use decimal notation. They'll compare equivalent fractions, mixed numbers, and decimals to build their own robots! These lessons are designed to be taught alone or in sequence. If you teach the lessons together, your class will start with Investigate: Different Units, where they'll explore place value in the real world, as Myles and his mom rescue turtles and help their temperatures come down. See the full sub-unit here.
- Investigate: Different Units
- A New Way to Write Tenths
- A New Way to Write Hundredths
- Are They Equivalent?
- How Can You Compare?
- The Sea Turtle Center
- What’s the Order?
- Skiing Adventure
Multiplicative Comparison and Measurement
Students understand multiplication as a way to compare quantities and convert measurements. They'll represent and identify multiplicative comparison situations using statements, diagrams, drawings, and equations. Your class will demonstrate an understanding of multiplicative comparison by describing the differences between quantities of stickers, towers of cubes, and other patterns and groups!
- Sticker Mania
- Representing “Times as Many”
- Going Swimming
Multiplying Multi-Digit Numbers
Students understand how to multiply multi-digit whole numbers using partial products and quotient strategies. They'll explore Hawaiian flowers and lei as way to conceptualize strategies for multiplying a whole number up to 4 digits by a one-digit whole number and 2 two-digit numbers. These lessons are designed to be taught alone or in sequence. If you teach the lessons together, your class will start with Investigate: Packing Lei, where they'll travel to Honolulu–to a store that sells leis, or garlands of flowers. See the full sub-unit here.
- Investigate: Packing Lei
- Counting Flowers for Lei
- A Lei-Making Workshop
- A Reasonable Answer
- Three of a Kind
- Growing Flowers for the Lei
- Double Decomposition
- Revisiting Strategies
- How Many Supplies?
Angles and Properties of Shapes
Students understand how to measure angles using a protractor and operations, and classify angles as acute, right, obtuse, or straight. They'll recognize an angle as a geometric figure formed by 2 rays sharing a common endpoint, and make connections between angles and turns.
- Angle Adventures
- Angles in Motion
- The Spin on Angles
- Symmetry Synergy
Centers
Centers are engaging, hands-on games for students to play collaboratively to strengthen their understanding of key skills and concepts.
- Grade 4: Centers
Personalized Learning and Intervention
Differentiate instruction for your students and make math accessible with targeted small group intervention and personalized practice!
- Grade 4: Personalized Learning and Intervention
Amplify Classroom Activities
Explore these popular activities, including many fan favorites from Desmos Classroom!
- Polygraph: Advanced Quadrilaterals
- Polygraph: Basic Quadrilaterals
- Polygraph: Shaded Rectangles
- The Fraction Challenge
- Ring Toss Boss