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.
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.
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.