Home > Skills List > Grade-Level Faith-Based Program > Fifth Grade > Mathematics

Math skills are introduced with manipulative activities that help the child see and work through the concept in a tactile manner. This is followed by an individual activity or practice worksheet (included in the lesson).

Whole Numbers and Sets

  • Skip count by different increments.
  • Recognize, read aloud, and write the numerals in order from zero through hundred millions.
  • Understand and identify place value for each digit in numbers to the trillions place.
  • Apply expanded notation to model place value through the trillions place.
  • Identify the value of Roman numerals.
  • Identify even and odd numbers.
  • Identify the number of digits in a number.
  • Identify a number that comes after a given number.
  • Identify a number that comes before a given number.
  • Identify a number that comes between two given numbers.
  • Identify one, ten, one hundred, and one thousand more than a given number.
  • Round numbers to a given place value.
  • Round a repeating and non-repeating decimal number.
  • Write numbers in standard, expanded, and word form.
  • Estimate sums and differences up to 100.
  • Continue to develop the ability to understand and use ordinal numbers and words.
  • Apply ordinals to daily experiences.
  • Compare sets and determine if one set is equal to, greater than, or less than the other set.
  • Use comparison symbols (<, =, >).
  • Develop mental math skills.
  • Write dictated numbers.
  • Express a relationship between numbers as a ratio.
  • Understand the difference between a prime and composite number.
  • Write the prime factorization of a composite number.
  • Find the greatest common factor of two numbers.
  • Find the least common multiple.

Patterns and Operations: Algebraic Thinking

  • Review addition facts 0-20.
  • Review subtraction facts 0-20.
  • Write addition and subtraction fact families.
  • Understand that addition and subtraction are inverse operations.
  • Create mathematical equations.
  • Identify a missing addend.
  • Use manipulatives to model and solve multiplication problems.
  • Recall multiplication facts 0-12.
  • Recall division facts 1-12.
  • Use manipulatives to model and solve division problems.
  • Divide, and show a remainder as a fraction of the divisor.
  • Learn and apply the divisibility rules.
  • Understand that multiplication and division are inverse operations.
  • Use inverse relationships to check answers.
  • Copy, extend, describe, and create simple repetitive patterns.
  • Identify a missing symbol in a repeating pattern.
  • Identify a missing term in a sequence.
  • Use a variable to represent an unknown amount.
  • Use variables in contextual situations.
  • Evaluate an algebraic expression.
  • Write an algebraic expression for a word phrase and a word problem.
  • Use inverse relationships to solve for a variable in an equation.
  • Write an equation to represent a model.
  • Use digits and symbols to represent mathematical statements.
  • Identify and write a function rule.
  • Add, subtract, multiply, and divide multi-digit numbers.
  • Use addition, subtraction, multiplication, and division to solve one- and two-step word problems.
  • Recognize and apply the Associative Property of Addition.
  • Recognize and apply the Associative Property of Multiplication.
  • Recognize and apply the Commutative Property of Addition.
  • Recognize and apply the Commutative Property of Multiplication.
  • Recognize and apply the Identity Property of Multiplication.
  • Recognize and apply the Zero Property of Multiplication.
  • Apply the Addition Property of Equality.
  • Apply the Subtraction Property of Equality.
  • Apply the Identity Property of Zero.
  • Use the Distributive Property to solve for a variable.
  • Apply knowledge of the order of operations in math.
  • Use the order of operations to simplify an expression.
  • Simplify exponential numbers.

Geometry

  • Identify, name, and describe polygons.
  • Identify angles, vertices, faces and edges.
  • Classify three-dimensional figures according to the number of faces, vertices, and edges.
  • Classify a triangle as equilateral, isosceles, or scalene.
  • Identify, name, describe, and build three-dimensional shapes.
  • Identify the interior and the exterior of a shape.
  • Draw a shape according to a given measurement and calculate the perimeter.
  • Calculate the area of a regular and an irregular shape using a formula.
  • Find the perimeter of a regular and an irregular shape.
  • Find the perimeter and area of a composite figure.
  • Calculate the volume of a rectangular prism.
  • Identify and draw congruent shapes, lines, or line segments.
  • Identify and draw horizontal and vertical line segments.
  • Identify and draw parallel and perpendicular line segments.
  • Identify the diameter and radius of a circle.
  • Calculate the circumference of a circle with the given diameter.
  • Draw angles of a given measurement.
  • Identify angles: right, acute, obtuse.
  • Use a protractor.
  • Combine geometric shapes to make new shapes.
  • Sort shapes and explain the sorting rule.
  • Classify objects according to color, shape, size, function, likeness, and differences.
  • Identify and draw a horizontal and vertical line of symmetry.
  • Identify similar shapes.
  • Create symmetrical designs.
  • Recognize or draw a reflection over a line of symmetry.
  • Make a net for polyhedra.
  • Recognize and draw transformations in geometry: rotation, reflection, translation.

Measurement and Estimation

  • Use a ruler to measure inches, feet, yards, and centimeters.
  • Measure and draw line segments to the nearest sixteenth inch.
  • Measure and draw line segments to the nearest centimeter.
  • Order objects by length or height.
  • Arrange multi-digit numerals from least to greatest.
  • Use digital and analog clocks to tell, write, and show time to the nearest minute.
  • Show times using fractional parts of an hour.
  • Arrange events in the correct order.
  • Compare events according to duration.
  • Solve problems using a calendar.
  • Write a date in word and digital form.
  • Read a Fahrenheit thermometer.
  • Identify units of capacity: cup, pint, quart, gallon, teaspoon, tablespoon, liters, and milliliters.
  • Make direct comparisons using measurable attributes such as length, weight, and capacity.
  • Understand that one item may hold more or less than another item.
  • Estimate the capacity of containers.
  • Measure dry and liquid ingredients.
  • Calculate equivalent measurements.
  • Use a unit multiplier to convert measurements.
  • Identify a dozen and half dozen.
  • Say, write, and compute decimal numbers.
  • Recognize and round decimal numbers to the nearest thousandth.

Reasoning, Problem Solving, and Communication

  • Make a prediction, and test to determine its accuracy.
  • Use simple logic to solve a problem.
  • Analyze and interpret data using logical reasoning.
  • Use a graphic organizer to demonstrate a decision-making process.
  • Describe how the problem was solved.
  • Determine whether a solution to a problem is reasonable.
  • Identify the questions asked in a problem.
  • Recognize when additional information is required to solve a problem.
  • Write a step-by-step description of a process.
  • Draw a picture to illustrate a mathematical word problem.
  • Answer a riddle.

Money

  • Identify pennies, nickels, dimes, quarters, and dollar bills.
  • Find the value of a set of coins.
  • Write the value of a set of coins as a fraction of a dollar and as a decimal number.
  • Write amounts of money using a dollar sign and a decimal point.
  • Compare monetary amounts using an inequality symbol.
  • Select coins for a given amount.
  • Pay for items and make change using coins and bills.
  • Add and subtract money amounts using a decimal to represent the monetary values.
  • Compare monetary values and determine if one set is equal to, greater than, or less than the other set.
  • Solve word problems using money.
  • Understand that money is accepted as final payment for goods and services.
  • Identify the person on United States currency.

Fractions

  • Make models that represent given fractions.
  • Recognize fractional parts of a given whole.
  • Write a fraction to represent part of a whole.
  • Compare fractions.
  • Identify equivalent fractions.
  • Expand a fraction to find equivalent fractions.
  • Use number lines to add fractions with like denominators.
  • Reduce a fraction to lowest terms.
  • Identify numerator and denominator.
  • Locate rational numbers on a number line.
  • Use words to write a mixed number.
  • Write a mixed number to represent a picture.
  • Convert an improper fraction to a mixed number.
  • Rename a pair of fractions using their least common denominator.
  • Add and subtract fractions with like and unlike denominators.
  • Multiply and divide fractions.
  • Represent fractions with a circle graph.
  • Convert fractions and decimal numbers to percents.

Statistics and Probability

  • Collect, sort, and tally data.
  • Find the range, mean, median, and mode of a set of data.
  • Solve problems using graphs, charts, and tables.
  • Make an inference, and experiment to test the inference.
  • Predict the most likely or least likely outcome in a probability experiment.
  • Understand theoretical and experimental probability.
  • State probability as a fraction.
  • Make arrangements that represent the number of possibility combinations of items from a set.

Graphing

  • Use simple picture graphs, bar graphs, line graphs, circle graphs, tables, and charts to solve problems and record information.
  • Compare information and draw conclusions using graphs.
  • Collect, organize, describe, and display data using Venn diagrams.
  • Plot ordered pairs on a coordinate plane.
  • List coordinates that connect to make a design or picture.
  • Recognize a positive or negative slope on a line graph.