In 4th-grade math, students build on their previous understanding of fundamental mathematical concepts and start exploring more advanced topics. Here are some common learning goals for 4th-grade math:

Number Sense and Operations:

Understand and compare multi-digit numbers up to the thousands.
Add and subtract multi-digit numbers, including carrying and borrowing.
Multiply two-digit numbers by one-digit numbers.
Begin to explore division with one-digit divisors.
Understand place value and the relationship between digits in a number.
Fractions and Decimals:

Recognize and represent fractions using models and symbols.
Compare and order fractions with like and unlike denominators.
Begin to understand decimal notation and the relationship between decimals and fractions.
Geometry:

Identify and classify different types of angles (acute, obtuse, right).
Understand and describe the properties of two-dimensional shapes (sides, angles).
Recognize lines of symmetry in shapes.
Understand the concepts of perimeter and area.
Measurement:

Convert measurements within the same system (e.g., inches to feet).
Understand and use appropriate units for length, weight, volume, and time.
Solve real-world problems involving measurement.
Data and Graphs:

Collect, organize, and interpret data using tables, charts, and graphs.
Understand basic concepts of probability and chance.
Problem Solving:

Apply mathematical reasoning to solve word problems and real-life situations.
Use various strategies to solve problems, including drawing diagrams, making tables, and using mental math.
Patterns and Relationships:

Identify and extend patterns in sequences of numbers.
Explore relationships between numbers and operations.
Mathematical Communication:

Explain mathematical thinking and reasoning both orally and in writing.
Use appropriate mathematical vocabulary to describe concepts.
Critical Thinking:

Analyze and solve more complex problems that require multiple steps.
Apply logical reasoning and critical thinking skills to mathematical challenges.

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Students will leave each class with a sample assignment to practice skills independently. This practice is optional but encouraged to reinforce skills taught during tutoring. 
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