5th Grade Math Worksheets
What Are Students Learning in 5th Grade Math Class? - As you reach higher grades, you are expected to enhance your learning capacity. Higher grades call for more knowledge, practice and understanding of deeper and complex concepts. In 5th grade, the math curriculum entails vast concepts of whole numbers, decimals up-to hundredths places, division and multiplication of multi-digit whole numbers. The curriculum is divided into chapters with each chapter building learning and enhancing the previously acquired skills. 5th grade mathematics curriculum also involves interactive and prompt stories for better understanding of concepts. Let's find out what students are learning in 5th grade math class. 1. Operations with Integers - Carry out all mathematical operations with whole using exponents and order of operations. Also identify prime numbers through factorization process and apply problem solving strategies to real life situations. 2. Decimals - Students read and write fractions to the thousandths place, use them in conjunction with the number line, add, subtract, multiply and divide, and identifying and converting decimals to percentage. 3. Fractions - Use of mixed numbers, improper fractions, simplifying and making equivalent fractions, and developing relationships between fractions, decimals, and percentages. 4. Algebra - Identification of algebraic patterns, equations, application of mathematical operations through activities, and worksheets requiring that you solve for integers and algebraic patterns, as well as equations. For some quick reminders, we also have 5th Grade Math Posters.
Operations and Pre-Algebra
- Parentheses, Brackets, and Braces in Math Expressions (5.OA.1) - These worksheets show students how to work with these unique and often confusing symbols when preforming operations.
- 2-Step Order of Operations (5.OA.1) - This the foundation of all algebra.
- 3-Step Order of Operations (5.OA.1) - This form of algebra often requires you to move a variable to opposite sides of an equation more than once.
- 4-Step Order of Operations (5.OA.1) - These problems often include a secondary variable.
- PEMDAS (5.OA.1) - The fundamental order of operations acronym.
- PEMDAS with Fractions, Decimals, and Exponents (5.OA.1) - We through these unique numeric forms through the order of operations.
- Order of Operations Word Problems (5.OA.1) - These word problems will require more planning than most.
- Writing Numerical Expressions (5.OA.2) - We ask you to interpret and write math sentences that become expressions.
- Math Patterns from Rule Sets (5.OA.3) - Being able to do this well may pay off in your future.
- Creating and Breaking Down Math Patterns (5.OA.B.3) - This is where math analysts thrive.
- Function and Chart Patterns (5.OA.B.3) - This has a great deal of application in Science classes.
- Identifying and Complete Math Patterns (5.OA.B.3) - You will first need to find the pattern and then you will need to make sense of it so that you can complete it.
- Sudoku Math Patterns (5.OA.B.3) - This fun puzzle game can teach use a great deal about patterns.
- Graphing Word Problems (5.OA.4 and 3.MD.B.3) - We start to apply graphing to help us solve everyday problems.
- Place Value 10 Times Greater (5.NBT.1) - We look at what one simple move in place value means.
- Multiplying by Powers of 10 (5.NBT.2) - This is where the concept of powers of ten begin to appear.
- Naming and Introducing Exponents (5.NBT.A.2) - Exponents reveal the number of times a number should be multiplied by itself.
- Decimals in Numeric, Word, and Expanded Form (5.NBT.A.3.A) - We show students how to convert values between all these forms.
- Writing and Recognizing Decimals in Expanded Form (5.NBT.A.3.A) - This is where we start to better understand scientific notation.
- Visualizing Decimals (5.NBT.3) - This helps students get a mental picture of what a decimal really is.
- Compare Two Decimals To Thousandths (5.NBT.A.3.B) - This comparison seems meaningless for students, but when they open a bank account, they will know why.
- Conversion Between Decimals, Fractions, Percentages (5.NBT.A.3) - This is a skill that you will really want to understand.
- Decimal Word Problems (5.NBT.A.3) - Students will cover story-based problems that include or use decimal values.
- Place Value: Understanding How to Round Decimals (5.NBT.4) - Students learn the significance of rounding decimals across large values.
- Rounding Decimals (5.NBT.4) - Students are introduced to decimal rounding.
- Math Operations with Rounding (5.NBT.4) - We round many times throughout the day and do not even realize it.
- Rounding Up and Down (5.NBT.4) - We work off of the magic number of five here.
- Multiply Multi-Digit Whole Numbers (5.NBT.5) - These problems require a bit more scrap paper.
- Multiplication 3 by 4 Digit (In Grid) (5.NBT.B.5) - The grid format really helps you stay organized.
- Multiplication 4 Digit (In Grid) (5.NBT.B.5) - The grid, once again, comes in handy.
- Mixed Multiplication Review (5.NBT.B.5) - This provides you with a great overview of where to go with it.
- Practicing Long Division (5.NBT.6) - These problems can take several minutes each.
- Decimal Division (5.NBT.B.6) - You need to focus on staying organized through these problems.
- Division of Large Numbers (5.NBT.B.6) - Breaking apart big numbers has to be done in parts often.
- Basic Operations with Decimals (5.NBT.7) - This is not as easy as it sounds.
- Addition Puzzles (5.NBT.B.7) - These can be fun, but challenging.
- Decimal Multiplication (5.NBT.7) - Remember where the decimal point started and that tells you where it should be placed at the end.
- Decimal Subtraction (5.NBT.7) - Place attention to where the place values are when finding differences.
- Estimating Decimal Sums and Differences (5.NBT.7) - We use this skill every time we are at the grocery store, if we are good shoppers.
- Add and Subtract Unlike Mixed Numbers (5.NF.1) - Unlike just means that denominators are different.
- Estimating Sums and Differences with Fractions (5.NF.A.1) - Being able to estimate with fractions is a good skill to have.
- Fraction Multiplication (Unlike Denominators) (5.NF.A.1) - There are several steps to these problems.
- Addition and Subtraction Between Whole Numbers And Mixed Numbers (5.NF.A.1) - You need to clearly define and understand the values that you are working with.
- Adding and Subtracting Decimals and Fractions (5.NF.A.1) - These problems start in a mixed format.
- Operations Between Fractions and Whole Numbers (5.NF.A.1, 5.NF.B.4) - We cover every different operation in all types of scenarios here.
- Whole Number and Mixed Number Operations (5.NF.A.1, 5.NF.B.6) - These problems are more math driven than the last worksheet series.
- Fraction Word Problems (Add and Subtract Only) (5.NF.2) - You will first need to look for keywords that tell you if a sum or difference is needed.
- Fraction Word Problems (w/Mixed Operations) (5.NF.2, 6.NS.A.1) - Unlike the previous topic, this covers all math operations.
- Interpretation of Fractions (5.NF.3) - We really hammer home the concept of what a fraction is and how to use it to your advantage.
- Fraction Division (Unlike Denominators) (5.NF.B.3) - This is a bit intimidating for students at first.
- Products of Whole Numbers and Fractions (5.NF.4) - Your focus should be on the numerators with these problems.
- Rectangles with Fractional Sides (5.NF.4) - Contractors that build homes are constantly working with this math.
- Comparing The Size of Fractional Products (5.NF.5) - Before the stock market changed to decimal notation this drove many analysts crazy.
- Products of Top Heavy Fractions and Integers (5.NF.5) - You need to start the problem by making the values like each other.
- Products of Fractions and Mixed Numbers Word Problems (5.NF.6) - You will need to read these problems carefully.
- Word Problems with Fraction Division (5.NF.7) - These problems are hard to write. We show you how to make it easier for yourself.
- Dividing Mixed Numbers (As Improper Fractions) (5.NF.B.7b) - There are a bunch of steps you have to take before the operation even matters.
- Division of Whole Numbers By Fractions Word Problems (5.NF.7) - Not as easy as it sounds, I promise you.
- Division of Fractions by Whole Numbers Word Problems (5.NF.7) - Cross-multiplication can be introduced here.
- Rounding Fractions (5.NF.7) - In most cases you are asked to round the values to the nearest half or whole number.
- Fraction Operations Review (All 4 skills in one) (5.NF.A.1 - 7) - This is the ultimate fraction review for you.
- Converting Standard Sized Units of Measurement (5.MD.1) - These are the most common measures you will find.
- Converting Measures of Length (5.MD.A.1) - We go between U.S. and Metric systems a few times.
- Metric Units of Length (5.MD.A.1) - It is all based off of a meter.
- Metric Measurement Word Problems (5.MD.A.1) - The best way to start here is to get all the values in the same unit.
- Metric Unit Conversion (5.MD.A.1) - The section will have convert within the metric system and between other systems as well.
- Line Plots That Display Data (5.MD.2) - Students begin to see data as a significant step towards understanding a system.
- The Volume of Solid Figures (5.MD.3) - Make sure to explain what a solid figure is.
- Units of Volume (5.MD.C.3) - We look at both liquid and dry volume. You will learn a variety of ways to measure this.
- Metric Units of Volume (5.MD.C.3) - These include cubic units of length (meters) and liquid (mLs).
- Converting Units of Capacity Problems (5.MD.C.3b) - Capacity is an often overlooked measure.
- Measuring Volume with Unit Cubes (5.MD.4) - You will need to pay attention to each legend and key to solve for these.
- Cubic Volume: Multiplication Relationships (5.MD.5) - Students truly begin to understand what cubic volume means.
- Using Coordinate Graphs (5.G.1) - This is the first-time students are applying the use of this form of graphing.
- Graphing Real World Math Problems (5.G.2) - This will help students see the importance of good math skills.
- The Attributes of Two-dimensional Figures (5.G.3) - Students start to see the difference that 2D figures have.
- Classify Two-dimensional Figures (5.G.4) - We name them based on the number of vertices and sides.
- Classify and Identify Regular Polygons (5.G.4) - We go as high as ten-sided regular shapes.
Numbers and Base Ten
Numbers and Fractions
Measurement and Data
What is in the 5th Grade Math Curriculum?
There seem four common themes throughout the 5th grade math curriculum. They include the mastery of operations with whole numbers, basic operations with fractions, decimal operations to the hundredths, and the geometry portion surrounds having a sound understanding of the concept of volume. Many people ask us how they should be pacing their lessons and units. To be honest there is no one way to do this effectively. We decided to get all of our teachers that have taught 5th grade for three or more years together for a cup of coffee and here is how we would approach it collective.
Most teachers often start with what could be considered a bit of a review with the multiplication and division operations. At this level, we are pushing for mastery meaning utter fluency with these operations regardless of the number of digits included in the multiplicand, multiplier, dividend, or divisor. For multiplication that means that we are way past the times tables by now. We are focused on long multiplication. Long division is the norm here where we are routinely dividing four-digit values by three-digits. Students are expected to have their divisibility rules and factors down pat, but it does not hurt to review these students early in the class. You never know what they did over the summer or the quality of their previous instruction.
Once they are solid with their operations with whole numbers, we like to introduce the concept of fractions and decimals at the same time. We only introduce decimals at this point and come back to them in the next unit. Start by showing students how to fully manipulate fractions through equivalency, common denominators, writing improper fractions, and mixed numbers. Once they have a handle on these concepts working in operations with fractions is a cinch. Add and subtraction of fractions goes pretty easy, multiplication and division of fractions requires almost double the amount of practice for students to get it.
We previously explored working with decimals, so we are not covering new material here. Decimals were as a nice pivot from fractions. It is important to help students understand the significance of place value in decimals. It helps by starting to have them compare decimals before you start working on operations. Just like fractions the addition and subtraction breeze by, multiplication and division are a bit of a bear here with decimals. Students often lose track of the decimal point throughout the process. It is important to help them maintain focus on where this belongs throughout.
The geometry and measurement portions of the 5th grade curriculum do break some new ground. There is a great deal of emphasis placed on the meaning and calculation of volume. We also look to understand that attribute within three dimensional geometric shapes. We learn how to classify and name all types of shapes and figures. The coordinate graph is not only introduced, but we help students learn how to become comfortable with using and manipulating it to solve real world problems. For the most part our staff used it for solving distance and direction problems that are related to map skills.