Mathematics in Grade 4

Mathematics in Grade 4

Fourth grade students are comfortable working with numbers as large as 100,000; with adding, subtracting, multiplying, and dividing whole numbers; and with rounding numbers up or down. They describe and compare simple fractions and decimals and learn how to factor small whole numbers (in 2 x 3 = 6, 2 and 3 are factors). They see that a prime number such as 5 or 7 is a number that can be divided evenly only by 1 and itself.

Grade 4 students explore basic concepts of algebra, in which symbols take the place of numbers (for example, 2 + x = 5). They also explore properties and relationships of two-dimensional figures studied in plane geometry. They use grids, tables, graphs, and charts to record and analyze data.

TOPICS COVERED

Mathematics standards for prekindergarten through grade 8 are presented in the following five strands. Expectations for what a child should be able to do increase from one grade to the next.

• Understanding numbers and how they work, such as adding, subtracting, multiplying, and dividing (Number Sense and Operations)

• Investigating patterns and using symbols (such as x + y = z) to analyze mathematical situations and change (Patterns, Relations, and Algebra)

• Identifying shapes, sizes, and relationships (Geometry)

• Using number relationships to find out size and volume (Measurement)

• Doing experiments, collecting data, and using the information to decide what will happen (Data Analysis, Statistics, and Probability)

WHAT YOUR CHILD SHOULD KNOW

BY THE END OF GRADE 4, YOUR CHILD SHOULD KNOW AND BE ABLE TO PERFORM THESE SKILLS:

1. Round whole numbers as large as 100,000 to the nearest 10, 100, 1,000, 10,000, and 100,000. Round 98,218 to the nearest ten (98,220) and to the nearest hundred (98,200).

2. Recognize, name, and generate equivalent forms of decimals (0.5, 0.25, 0.2, 0.1) and fractions (1/2, 1/4, 1/5, 1/10). Show why 0.5 is equal to 1/2, 0.25 is equal to 1/4, and so forth.

3. Find all factors of any whole number up to 50 (for example, factors of 12 are 2, 6, 3, and 4). Know that numbers such as 2, 3, 5, 7, and 11 are prime numbers, which means they have no factors except 1 and themselves.

4. Select and use appropriate operations (addition, subtraction, multiplication, and division) to solve problems — including those involving money.

5. Solve problems involving proportional relationships, including unit pricing (for example, four apples cost 80 cents, so one apple costs 20 cents).

6. Know the definitions of a right angle (exactly 90 degrees), an acute angle (less than 90 degrees), and an obtuse angle (greater than 90 degrees).

7. Select, use, and explain the commutative properties of whole numbers, where the result is the same no matter which order two or more terms or quantities are placed. For example, 37 x 46 = 46 x 37.

8. Estimate and find the areas and perimeters of shapes, including irregular shapes. Do this using diagrams, models, and grids and by measuring.

HOME ACTIVITIES

1. Help your child learn new mathematics terms. When you find a new word, help your child figure out what it means. How can you use the word in your daily life?

2. Recognize mathematics in games or hobbies. For example, record the number of points scored in each game by a favorite team. Are the scores going up or down? What other patterns does your child see?

3. Find a recipe that serves four people. Ask your child to calculate how much of each ingredient it would take to make twice as much or half as much of the recipe.

Using newspaper ads, ask your child to add how much it would cost to buy a whole new outfit: shirt, jeans, shoes, and socks. How long would your child have to save to buy one item?
Assess Your Child's Math Skills

Grade 4 Math Course Outline

Fourth Grade Math Worksheets

You may also enjoy our Timed Math Drills

Writing Numbers Worksheet 3 - Students will write whole numbers to hundred thousands using digits and words. Aligns to Common Core Standards 4.NBT.2.
Writing Numbers Worksheet 5 - Students will write whole numbers to hundred millions using digits and words. Aligns to Common Core Standards 4.NBT.2.
Perimeter Worksheet 4 - find the missing value
Perimeter Worksheet 2 - find the missing value
Money Review Workshet 1 - compare and order money
Introduction to Adding Decimals - how to add decimals when addends have the same number of decimal places
The School Play - word problems
More Division Practice - worksheet 1
Ordering Integers - worksheet b
Ordering Integers
Place Value Gumshoe
Word Problems - worksheet b
Sharpen Your Skills - worksheet 8
Subtract and Check
Place Value and Standard Form
Sharpen Your Skills - worksheet 5
Reducing Fractions - worksheet 2
Comparing Fractions
Division Practice - worksheet a
Place Value - worksheet d4
Lucky Leprechaun Multiplication - 4th grade
Alien Addition Maze - 4th grade addition worksheet
Division Practice - grade 4
Math Practice - multiplication
The Fourth Grade Grocer - Word problems
Writing Large Numbers in Standard Form - 4th grade worksheet
Add or Subtract - mixed review worksheet
Place Value - ones, tens, hundreds, thousands, ten thousands, hundred thousands
Place Value - ones, tens, hundreds, thousands, ten thousands
Place Value - ones, tens, hundreds, thousands
Multiplying by Two-Digit Numbers - math practice
Fourth Grade Fractions - adding fractions with a common denominator
Who Am I? - worksheet 4
Ordering the Parts - fraction worksheet
Math Pyramid - sums to 2,500
Word Problems - division word problems with multiplication check
Addition Worksheet 11 - addition drill sheet
Addition Worksheet 12 - addition drill sheet
Money Matters - word problems
Number Detective worksheet 2
Reptile Mystery Math - division and secret code
Division Word Problems
Division Practice 2
Division Practice
Find the Area
Find the Average
Multiplying Decimals 1
School Supply Math - division practice
Dime Store Math - division practice
Four Multiplication Drill Sheets
Multiplication Practice #5
Monster Math - multiplication with secret code
Adding Fractions 1
Fractions worksheet 4 - reducing fractions
Multiplying Decimals Secret Code - science related fact
Three Digit Multiplication - multiplication drill sheet
Three Digit Multiplication #2 - multiplication drill sheet

Who Am I? - self checking fourth grade math vocabulary worksheet

4th grade Five Minute Division Drill - 100 problems per page. Includes horizontal and vertical formats.
4th grade Three Minute Division Drills - 50 problems per page. Includes horizontal and vertical formats.

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Fourth Grade Science Worksheets

Jupiter - reading comprehension
Your Five Senses - categorizing words
Collared Peccary - information and coloring page
Creatures of the Grand Canyon word search and animal classification
Space Shuttle Fact Sheet
Bison Fact Sheet
Hidden Animals 2
Rain Forest Word Search puzzle
Space Age Word Search Puzzle
Hidden Animals
Hurricane Scramble

Tools of Native Americans

Marvelous Map Activities for Young Learners

Science Related Word Search Puzzles

Earthquake Word Search Puzzle
Types of Energy - word search
Alternative Fuels - word search puzzle
Cacti of the Southwest - word search puzzle
Transportation Word Search - fifteen words
Human Body Word Search - ten words, primary grades
Creepy Crawlies Word Search - twelve words, upper grades
Space Age Word Find
Rain Forest
Insect Word Search Puzzle

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