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 threedigit 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 020.
 Learn multiplication facts 012.
 Learn division facts 112.
 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 multistep equation for a given variable.
 Write an equation to represent a model.
 Identify and write a function rule.
 Write dictated equations.
 Add five singledigit addends without and with regrouping.
 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 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 computerfree 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.
