5th Grade Math
Is your fifth grader on track with math? Discover fifth grade math topics, browse curriculum, learn about state tests, identify grade-level vocabulary, and see the best ways to teach fifth grade math right here with this comprehensive guide to all things 5th grade math.
Fifth Grade Math Curriculum
Find complete fifth grade math curriculum with these five trusted options. Each option below has everything that you need for an entire school year math for 5th graders, including instruction and practice.
While these programs are based on standard 5th grade expectations, every child learns at a unique pace, so be sure to use the math placement tests to determine the best fit for each particular program.
Horizons 5 Program
In the fifth grade level of Horizons, students
- write simple ratios
- add and subtract fractions with uncommon denominators
- use a compass and protractor
- calculate probability with one variable
- understand percentages
- recognize place value to a hundred billion
Horizons uses colorful illustrations and systematic review to make sure your student has a complete understanding of the concepts listed above.
Horizons uses a spiral approach—concepts are introduced, practiced that day, and then the rest of the day is a review of previously covered concepts. Math topics periodically surface in the daily work so that the student has the opportunity to practice them over and over.
Singapore 5A/5B Program
The main feature of Singapore 5th grade math series is the use of the three part approach:
Instruction moves from concrete objects to pictures of objects and finally to abstractions (numerals). This systematic approach makes math meaningful and encourages active thinking. process, communication of mathematical ideas and problem solving. This helps develop the foundation students will need for more advanced mathematics.
Singapore fifth grade math is a mastery-based curriculum. Unlike a spiral approach with lots of review, with a mastery approach, review is limited. Each lesson builds on the past lessons with the expectation that the student has mastered previous concepts.
Singapore fifth grade curriculum includes suggestions for enrichment and mental math exercises. The workbook exercises are brief but have a heavy focus on solving word problems that make math relatable to the everyday world.
Saxon 6/5 Program
Combined with the teaching and resources of the included DIVE CD, Saxon 6/5 is a great math program for reluctant math learners as well as those who pick up on concepts easily. The spiral approach ensures that struggling students keep pace with the core concepts. Thus, Saxon is a strong choice for students with learning disabilities.
In each Saxon 6/5 lesson, students are introduced to a new topic, do practice problems using the new skill, then spend the remainder of the day practicing skills from previous lessons.
Math U See Epsilon
Math U See is an innovative approach to not only learning how to do math but understanding how math works. Using hands-on and visual methods, the Epsilon level for fifth grade walks your student through the world of fractions. Each lesson takes approximately a week to complete and contains
- a short teaching video, watched by both parent and student
- worksheets to practice the concept
- a short test to demonstrate mastery
- a worksheet of review from previous lessons
Right Start Math Level F
Right Start Math is a unique program that heavily uses an abacus and games to deepen the student’s understanding of math. Because of this one-of-a-kind approach, a parent will rely heavily on the teacher’s manual for direction. At Level F for fifth grade, the program has a heavy emphasis on mental math and student-led discovery. Students complete worksheets after each lesson has been taught.
5th Grade Math Topics, Materials, Supplements & Manipulatives
If you’re not looking for a complete math program, instead supplement your child's education with 5th grade math worksheets, 5th grade math books, math games, individual workbooks, and more extras to strengthen your child's skills.
Intermediate Series Life of Fred Books
Life of Fred uses a fun, lighthearted story approach to mathematics. A student ready for 5th grade math should start with Life of Fred: Kidneys followed by Liver, and finally Mineshaft. These hardcover books will help students master fractions, unit conversions, volume, perimeter, exponents, and more.
As a perk, Life of Fred at this level offers instruction for practical daily life skills including check writing, grammar rules, and figuring sale prices—all with no boring drill-and-kill worksheets. Each book contains problems for the student to complete on a separate piece of paper and should take about 4 to 6 weeks to complete.
If your student needs reinforcement in multiplication, division, factors, money, or fractions,MathTacular DVDs (and digital access!) are a unique way to review. Join Professor Justin as he makes math more understandable through short and quirky lessons. Each video includes word problems with solutions. The included workbook provides opportunities to use the math concepts covered in the videos to solve similar problems.
- MathTacular 3 contains over four hours of real-world math.
- MathTacular 4 gives your student the tools to crack the code of word problems.
Math Adventures Grade 5 Spy School
Math Adventures is a consumable workbook series that helps your child discover math in everyday life. In Grade 5 Spy School you’ll practice math fact fluency, fractions, and logic skills by solving mysteries. Students won’t even know they are learning as they take this adventure.
Fifth Grade Math Worksheets
Sample fifth grade math worksheets with these PDFs from Horizons 5:
Fifth Grade Math Lessons
Charts of Key Fifth Grade Math Formulas
Fifth Grade Conversion Factors
Fifth Grade Math: Problems & Equations
Fifth grade math problems include all of these varied topics:
- Recognizing and Generating Equivalent Fractions
- Adding and Subtracting Fractions, Mixed Numbers, and Decimals
- Finding Common Factors
- Order of Operations
- Finding the Area of Circles and Triangles
- Classifying 4-Sided Figures (Quadrilaterals)
- Representing Fractions on Number Lines
- Using Coordinates to Graph Ordered Relationships
- Multiplying and Dividing by 10s, 100s, or 1000s
- Finding Unknown Angles
- Percents and Rates
- Volume of Solids
- Statistics and Probability
- Negative Numbers
- Multiplying and Dividing Fractions and Decimals
- Long Division
- Negative Numbers
These concepts should not only be mastered in math for 5th graders, but also applied in
- Multi-Step Problem Solving
- Interpreting and Solving Word Problems
- Mental Math
Fifth Grade Math: Numbers & Operations
Establishing fluency with fractions and decimals is a huge portion of fifth grade numbers and operations. You can see great detail of the kinds of strategies and example problems for this grade level on the Common Core website.
Fifth graders should be able to work problems with fractions as well as set up problems from real world situations and word problems. For example, see this test on simplifying improper fractions taken from Saxon Math 6/5.
Fifth Grade Math: Fractions & Decimals
Fifth graders need to master
- decimal place value
- adding and subtracting decimals
- adding and subtracting fractions
- multiplying and dividing decimals
- multiplying and dividing fractions
These concepts are introduced as early as fourth grade and will be repeated again in sixth grade.
Along with these computational skills, it’s important for fifth graders to grasp the relationship between fractions and decimals—they are two ways to represent the same values. Plotting both fractions and decimals on a single number line is a valuable way to visually represent the values.
Fifth Grade Math Standards
You can read the Common Core Standards for 5th grade here. For the 9 states that haven’t adopted state standards, check with their state boards of education websites for their particular 5th grade math standards.
If meeting Common Core standards is important to you, choose from:
Both of these programs do cover the standards, albeit in a slightly different order than outlined in Common Core. In other words, a certain topic may be assigned to 5th grade in Common Core but is covered in 3rd or 1st grade in one of the programs above.
Fifth Grade Math State Tests
If your child is in public school, you can expect your fifth grader to take a standardized test in math. The 2015 Every Student Succeeds Act (ESSA) requires states to test students in math and language arts each year for grades 3-8. While each state can set their own standards and compose their own tests, the ESSA dictates that they be “challenging.”
In some states, this testing requirement carries over to homeschoolers as well.
If your child is using and seeing success with any solid fifth grade math curriculum (like those shown and described above) the fifth grade math state tests should pose no problem. If you do find gaps in understanding, you can meet those with supplements and extra practice.
Find out what your particular state does in terms of fifth grade math testing by visiting your state’s department of education website. The U.S. Department of Education has all of those links mapped out for you.
Fifth Grade Math Vocabulary
Here’s a list of common vocabulary words covered in math for 5th graders:
- Whole Numbers
- Improper Fractions
- Mixed Numbers
- Place value
- Number lines
- Tally marks
- Least Common Multiple
- Greatest Common Factor
- Least Common Denominator
- Composite Number
- Prime Number
- Line Plots
- Coordinate Plane
Fifth Grade Math FAQ
Like the elementary grades before 5th grade, this year in math continues to build on concepts that have already been taught including addition, subtraction, multiplication, and division. Fractions are studied in further depth, including unlike denominators, improper fractions, and mixed numbers. There is a stronger focus on word problems to help students relate math to real world scenarios. As with all math, it is important that you move at your student’s pace. Math builds as the program progresses, so if your student missed an earlier concept, frustration can set in.
Each math program has a unique scope and sequence but overall you can expect a 5th grade math program to include instruction in
- place value
- order of operations
- expressions and equations
- division and long division
- geometry concepts including area, volume, and angles
- statistics, including mean, mode, and median
- practice with story problems
Although fifth grade math doesn’t have a fancy name like geometry or algebra, it does include simple geometry concepts and algebraic thinking! Fifth grade math is called grade 5 math.
A typical 5th grade math program includes direct instruction on the topics listed above. Kids need the concepts spelled out and explained to them and then chances to apply what they’ve learned with lots of practice. So fifth graders are likely doing homework or repetitive exercises to make sure they’ve mastered the ideas.
The best way to prepare for 5th grade math is to have successfully completed 4th grade math and help your child maintain a positive attitude towards math. Avoid letting your child feel they are bad at math. Help them find the fun in the challenge of math and learn to persevere through difficult problems.
If you are concerned about summer slide or a child who is behind in math, try these ideas:
- Use one of Sonlight’s math supplements for 10-15 minutes a day.
- Include math in your daily routine. For example, baking is a great way to see that fractions are important.
- Grocery shopping is a wonderful chance to practice mental addition by keeping a running estimate of the bill. Make it a game to see who can get the closest to the correct total at checkout.
Fifth grade math is a continuation of the math that a student has been learning since kindergarten. The level of a specific curriculum that a student will use in fifth grade will depend on the student’s aptitude for math and the program that the student is currently using. Although there’s a general consensus of what 5th grade math is, each program is slightly different in how it orders the information.
The best way to learn math at any level is to practice, practice, practice. When learning a new concept, prompt feedback is also important. Completing an entire set of exercises incorrectly is frustrating and demoralizing to a student. It is better for them to do one or two problems and have them checked. If errors were made, reteach the concepts so you reinforce the correct concept, not the error.
Measures of Academic Progress (MAP) is a computerized test created by NWEA.org, the Northwest Evaluation Association. This test uses a RIT scale, and scores range from 140 to 300.
At grade 5, the math MAP has 40-45 questions. RIT scores range from 140 to 300. The average RIT score for 5th grade is between 211-232 for the year 2020.
However, since MAP is designed to identify giftedness and determine readiness for the next grade, it’s best to focus on growth rather than the average. In other words, compare your child’s MAP score from last year to this year’s. As long as you are seeing progress, your child is on track!Other helpful ways to use a MAP score are to compare your child’s score to the district grade level mean and to compare to the norm grade level mean.