Math Secular Homeschool Curriculum Skills List  Fifth Grade
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 nonrepeating 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 020.
 Review subtraction facts 020.
 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 012.
 Recall division facts 112.
 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 multidigit numbers.
 Use addition, subtraction, multiplication, and division to solve one and twostep 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 threedimensional figures according to the number of faces, vertices, and edges.
 Classify a triangle as equilateral, isosceles, or scalene.
 Identify, name, describe, and build threedimensional 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 multidigit 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 decisionmaking 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 stepbystep 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.
Decimals  Add, subtract, multiply, and divide decimal numbers.
 Calculate the cost per serving.
 Divide with a decimal remainder.
 Represent money with a dollar sign and decimal point.
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.
Calculators and Computers
 Demonstrate how a calculator works.
 Use a simple calculator to add, subtract, multiply, and divide sets.
