Homeschooling Mathematics
Syllabus
A comprehensive guide and resource list from Preschool to Grade 5. Customize your child's math journey with our free worksheet generators.
Preschool Syllabus
At this stage, math is all about visual recognition, counting objects, and identifying shapes. The focus is on building "Number Sense" through images rather than abstract numbers.
Picture Addition
Learn to add by counting everyday objects like fruits and toys.
Picture Subtraction
Understand "taking away" visually by crossing out items.
Shape Recognition
Identify basic 2D shapes: circles, squares, and triangles.
Kindergarten Syllabus
Kindergarteners transition from counting pictures to using mental math strategies. They also begin to explore measurement concepts like time and length.
Mental Addition
Strategies like adding 0, adding 1, and doubles (e.g., 2+2).
Telling Time
Introduction to analog clocks. Reading hour and half-hour.
Measurement
Understanding length visually using rulers and objects.
Grade 1 Syllabus
Students solidify addition and subtraction skills, move to vertical column math, and start solving basic word problems.
Standard Addition
Vertical addition problems, single and double digits.
Standard Subtraction
Vertical subtraction, introduction to simple borrowing.
Math Word Problems
Applying addition concepts to simple text-based stories.
Grade 2 Syllabus
Grade 2 introduces larger numbers, money math, and the very beginning of multiplication concepts.
Money Math
Counting coins, adding currency, and making change.
Subtraction Word Problems
Real-world scenarios requiring subtraction skills.
Intro to Multiplication
Basic times tables and repeated addition concepts.
Grade 3 Syllabus
A pivotal year for multiplication, division, and the introduction of fractions using visual aids.
Multiplication Stories
Solving word problems involving groups and arrays.
Division Basics
Simple division facts and sharing equally.
Visual Fractions
Understanding parts of a whole with shading exercises.
Grade 4 Syllabus
Students deepen their understanding of fractions and begin working with decimals and measurement conversions.
Fraction Addition
Adding fractions with like and unlike denominators.
Decimal Arithmetic
Introduction to adding and subtracting decimals.
Unit Conversions
Converting between metric units (e.g., cm to m, kg to g).
Grade 5 Syllabus
Advanced topics including fraction multiplication, decimal operations, and percentages.
Percentages
Calculating percentages and converting fractions/decimals.
Multiplying Fractions
Multiplying fractions by whole numbers and other fractions.
Decimal Multiplication
Multiplying decimals for advanced arithmetic practice.
Suggested Weekly Routine
A balanced approach to using our worksheet generators for consistent progress.
Mondays: New Concepts
Introduce a new topic using visual aids (e.g., Fraction Shading or Picture Math). Focus on understanding.
Wednesdays: Practice
Use standard drill worksheets (e.g., Multiplication or Division Generators) to build speed and accuracy.
Fridays: Application
Apply skills to real life using Word Problems, Money, or Time Telling worksheets.
Why Use PrintableNest?
Printable PDFs
All generators create clean, high-quality A4 PDFs perfect for home printing.
Customizable
Adjust difficulty, number of problems, and specific operations to match your child's pace.
Unlimited Practice
Generate new versions of the same worksheet instantly. Never run out of practice material.
Frequently Asked Questions
What math should a preschooler learn at home?
Preschoolers should focus on number recognition (1-10), counting real objects, identifying basic shapes, and understanding simple concepts like "more" or "less". Our Picture Addition tools are perfect for this.
How many worksheets should a child do per week?
Quality over quantity is key. We recommend 3-4 short worksheets per week (10-15 minutes each) to keep learning fun without causing burnout.
Is this syllabus suitable for homeschooling?
Yes, this syllabus aligns with standard elementary curriculum progressions. It allows parents to follow a structured path while customizing the difficulty for their child.
Are PrintableNest worksheets free?
Yes, all our worksheet generators are completely free to use. You can generate and download unlimited PDFs.
Can parents print worksheets in black & white?
Absolutely. Our worksheets are designed to be legible and clear even when printed in grayscale, saving you colored ink.