### 1. Multiply bigger numbers:

Multiplying bigger numbers requires a student to understand and use the standard algorithm for multiplication. Students must be able to accurately multiply two-digit, three-digit, and four-digit numbers using the algorithm. This can help them better grasp concepts such as area and perimeter of shapes and solve equations involving larger numbers.

### 2. Divide with remainders:

Division is a key part of understanding fractions and larger numbers. 4th grade students should be able to divide two and three digit numbers with remainders, both mentally and using the standard algorithm. Solving word problems requiring division can also help students develop their skills in this area.

### 3. Find factors of numbers 1-100:

Factors are an important part of understanding multiple equations and concepts in mathematics, such as multiples, prime numbers, and divisibility rules. Students should be able to find all the factors for any number from one through one hundred quickly and accurately using mental math or the standard algorithm.

### 4. Solve real-world word problems:

Word problems can be tricky for students to understand, as they require students to think deeply and analyze the problem. 4th grade students should have a good understanding of how to read and interpret word problems in order to solve them. This skill is very important for higher level math courses, such as Algebra and Geometry.

### 5. Understand large numbers in various forms:

Understanding large numbers can be difficult for young students but it is essential for success in mathematics. 4th graders should be able to understand large numbers written in standard form, scientific notation, or expanded form, as well as being able to compare two or more values using these formats.

### 6. Identify and use prime numbers:

Prime numbers are a type of number that can only be divided by itself and one. 4th grade students should be able to identify prime numbers from one through one hundred, as well as being able to use them in solving problems involving divisibility rules or finding the greatest common factor between two or more values.

### 7. Add and subtract fractions with unlike denominators:

Adding and subtracting fractions can be quite challenging for some students, as it requires understanding how to find the least common denominator of two fractions in order to solve the equation correctly. 4th graders must understand this practice in order to accurately add and subtract fractions with unlike denominators.

### 8. Multiply decimals to the hundredths place:

Multiplying decimals requires students to understand how to line up decimal points and carry over leftover numbers when multiplying two or more values. 4th grade students should be able to accurately multiply decimals up to the hundredths place, as this will prove useful in higher level math courses.

### 9. Convert between mixed numbers and improper fractions:

Mixed numbers are fractions that have a whole number and fractional parts. Improper fractions, on the other hand, are fractions with a numerator larger than its denominator. 4th graders must understand how to convert between these two forms of representation in order to correctly solve equations involving fractions.

### 10. Estimate sums, differences, products, and quotients of whole numbers:

Estimation is an important part of mathematics, as it allows students to quickly and accurately answer questions without having to solve the entire equation. 4th grade students should be able to estimate the sum, difference, product, and quotient of two or more whole numbers in order to check their work or give a quick answer.