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Math Secular Homeschool Curriculum Skills List | Fourth 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 to one million.
  • 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.
  • Represent numbers on a number line.
  • Identify the factors of a number.
  • Identify the value of Roman numerals.
  • Identify even and odd numbers.
  • 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 the nearest ten, hundred, and thousand.
  • Write numbers in expanded and word form.
  • Estimate sums and differences up to 100.
  • Continue to develop the ability to understand and use ordinal numbers.
  • Apply ordinals to daily experiences.
  • Use comparison symbols (<, =, >).
  • Arrange three-digit numerals from least to greatest.
  • Use a calculator to add, subtract, multiply, and divide sets.
  • Multiply and divide by powers of ten using mental math.

Patterns and Operations: Algebraic Thinking

  • Review addition and subtraction facts 0-20.
  • Learn multiplication facts 0-12.
  • Learn division facts 1-12.
  • Identify fact families.
  • Identify a missing addend.
  • Use manipulatives to model and solve multiplication and division problems.
  • Understand that addition and subtraction are inverse operations.
  • Understand that multiplication and division are inverse operations.
  • Use inverse relationships between operations to check answers.
  • Copy, extend, describe, and create simple repetitive patterns.
  • Identify a missing symbol in a repeating pattern.
  • Identify a missing number in a sequence.
  • Use variables in contextual situations.
  • Use inverse relationships to solve for a variable in an equation.
  • Solve a multi-step equation for a given variable.
  • Write an equation to represent a model.
  • Identify and write a function rule.
  • Write dictated equations.
  • Add five single-digit addends without and with regrouping.
  • 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 Distributive Property.
  • Apply the Addition Property of Equality.
  • Apply the Subtraction Property of Equality.
  • Apply the Multiplication Property of Equality.
  • Apply the Division Property of Equality.
  • Apply the Identity Property of Zero.
  • Use the Distributive Property to solve for a variable.
  • Recall the order of operations in math.
  • Understand the absolute value of a number.
  • Read, write, and simplify an exponential expression.
  • Apply computational thinking to design an algorithm and to solve problems.
  • Use models and simulation to explore complex problems.

Geometry

  • Understand geometric terms.
  • Identify, name, and describe polygons.
  • Identify angles, vertices, and sides.
  • Identify and label a line, segment, and ray.
  • Identify, name, and describe solids.
  • Identify the interior and the exterior of a shape.
  • Differentiate between regular and irregular polygons.
  • Calculate the area of a regular and an irregular shape.
  • Calculate the perimeter of a regular and an irregular shape.
  • Find the volume of a solid.
  • Demonstrate the knowledge of parallel, perpendicular, and oblique lines and line segments.
  • 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, radius, and circumference of a circle.
  • Use a formula to calculate circumference.
  • Construct and name angles: acute, obtuse, and right.
  • Use a protractor to draw angles of a given degree.
  • 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.
  • Classify triangles and quadrilaterals.
  • Create symmetrical designs.
  • Create patterns.
  • Draw a reflection over a line of symmetry.
  • Use a geometric net to make a model of a solid shape.
  • Use a geoboard to model polygons and angles.
  • Use geometric shapes to build a model.
  • Identify how geometry affects bridge design and function, and apply that knowledge to the design and construction of a bridge.
  • Create tessellations.
  • Perform transformations: translation, rotation, reflection.

Measurement and Estimation

  • Use a ruler to measure inches, feet, yards, and centimeters.
  • Draw line segments to the nearest 1/4 inch.
  • Draw line segments to the nearest millimeter.
  • Use a ruler to draw shapes according to given measurements.
  • Order objects by length or height.
  • Use digital and analog clocks to tell, write, and show time to the nearest minute.
  • Order events by time.
  • Calculate elapsed time.
  • Compare events according to duration.
  • Solve problems using a calendar.
  • Write a date in word and digital form.
  • Represent numbers on a number line.
  • Read a Fahrenheit thermometer.
  • Identify units of capacity: cup, pint, quart, gallon, milliliter, liter, teaspoon, and tablespoon.
  • Make direct comparisons using measurable attributes such as length, weight, and capacity.
  • Understand that one task may take more or less time to accomplish than another task. Make an estimate and experiment to test the estimate.
  • Understand that one item may weigh more or less than another item. Make an estimate and experiment to test the estimate.
  • Understand that one item may hold more or less than another item. Make an estimate and experiment to test the estimate.
  • Calculate equivalent measurements.
  • Convert measurements.
  • Draw a diagram to scale.
  • Recognize a scale factor.
  • Use a map scale and a ruler to determine the distance between locations.
  • Use a map scale to convert inches to miles.
  • Round decimal numbers to the nearest thousandth.

Reasoning, Problem Solving, and Communication

  • Make a prediction and draw conclusions based on evidence.
  • Use simple logic to solve a problem, to solve a mathematical word problem, and to develop a strategy.
  • Describe how a 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.
  • Use the correct mathematical process to solve a problem.
  • Develop a simple understanding of an algorithm using computer-free exercises.
  • Write an algorithm to complete a specific task.
  • Apply computational thinking to design an algorithm and to solve problems.
  • Develop an understanding of four key techniques to computational thinking: decomposition, pattern recognition, abstraction, and algorithms.
  • Use models and simulation to explore complex problems.
  • Read and write code.
  • Draw an object using pixels.
  • Examine connections between elements of mathematics and computer science including binary

    • numbers, logic, sets, and functions.

Money

  • Identify pennies, nickels, dimes, quarters, and dollar bills.
  • Find the value of a set of coins.
  • Compare monetary amounts using an inequality symbol.
  • Select coins for a given amount.
  • Pay for items, and make change using coins and bills.
  • Add, subtract, multiply, and divide 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.
  • Write money as a fraction of a dollar and with a dollar sign and decimal point.
  • Solve word problems using money.
  • Understand that money is accepted as final payment for goods and services.
  • Identify the person on United States currency.
  • Write a check.

Fractions

  • Make models that represent given fractions.
  • Recognize fractional parts of a given whole.
  • Draw pictures to represent fractions.
  • Write a fraction to represent a part of a whole.
  • Identify a fraction of a shape.
  • Compare fractions with like and unlike denominators.
  • Identify equivalent fractions.
  • Expand a fraction to find equivalent fractions.
  • Write fractions in numeral and word form.
  • Locate rational numbers on a number line.
  • Use number lines to add fractions with like denominators.
  • Reduce a fraction to lowest terms.
  • Identify numerator and denominator.
  • Represent and write mixed numbers.
  • Convert an improper fraction to a mixed number.
  • Rename fractions with a common denominator.
  • Add and subtract fractions with like denominators.
  • Add and subtract fractions with unlike denominators.
  • Multiply fractions.
  • Divide, and show a remainder as a fraction of the divisor.
  • Solve word problems by modeling a fraction of a group.

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

  • Conduct a survey.
  • Collect, sort, and record 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.
  • Use experimental probability to make a prediction.
  • State probability as a fraction.
  • Make arrangements that represent the number of possibility combinations of items from a set.
  • Use a calculator to compute averages.

Graphing

  • Use simple picture graphs, bar graphs, circle graphs, line 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.
  • Graph and write coordinates on a coordinate plane.

Calculators and Computers

  • Demonstrate how a calculator works.
  • Use a simple calculator to add, subtract, multiply, and divide sets.