What MathGem gives a homeschooling family
Homeschool math needs three things every day: problems at the right level, a way to check them, and a clear idea of what comes next. MathGem covers all three for free, without an account:
- Unlimited fresh worksheets. Every press of Generate makes a new set of problems, so a child can practise the same skill for weeks without repeating a page.
- An answer key with every worksheet. The answer sheet prints on its own page after the worksheet, with a Set ID that matches the worksheet.
- A path from grade 1 to grade 12. Six levels, from the four operations to Pre-Calculus, each with a recommended order of topics. The Curriculum page shows the whole path.
- Printable lesson pages. From Basic Math 2 onward, every topic has four one-page lessons next to its worksheet (see below).
A daily routine that builds on itself
From MathGem's creator. My two children built their foundations on an early version of MathGem, solving about 100 problems a day, starting with the four operations. I recommend beginning with a small daily habit, one or two pages of about 10 to 30 problems, and increasing the amount gradually to around 100 problems a day. After the four operations, the focus should move from the number of problems to understanding each new concept.
For a homeschool schedule, that suggests two kinds of math time:
- Arithmetic practice (grades 1–5). A short, fixed time every day with the Basic Math worksheets, which have 20 problems per page. Start with one page and add pages only when the current amount feels easy.
- Concept lessons (grade 4 onward). One topic at a time: a lesson page, then a worksheet page, then a look at the mistakes. Keep a page of arithmetic practice as a warm-up if facts are still slow.
The grade-by-grade practice roadmap describes both phases in more detail.
Teaching a new topic with the lesson pages
On every topic page from Basic Math 2 to Pre-Calculus, a coloured tab rail on the right edge of the worksheet switches between five printable pages:
- Key Concept — the main rule or idea on one page.
- Investigate — short questions that let the child discover the pattern before it is explained.
- Problem Solving Process — step-by-step worked examples.
- Basic Exercise — a short set of practice problems with answers.
- Worksheet — the generated worksheet and its answer sheet.
While a lesson tab is open, the print button changes to Print This Page, so each lesson page can be printed on its own. Working through the tabs in order gives a complete lesson for one topic: read the concept, investigate, follow the worked examples, try the basic exercise, then do the worksheet. Below the worksheet, each topic page also lists common mistakes, which are worth reading together after the first worksheet is marked.
Checking work and keeping records
- Keep the answer sheet aside. It prints as the last page, so it is easy to separate before the worksheet goes to the child.
- Write down the Set ID. The Set ID printed on the worksheet matches its answer sheet, which helps when several worksheets are printed at once.
- Mark soon after. Mistakes are easiest to discuss while the problems are still fresh.
- Keep the pages. A folder of dated worksheets shows progress over a year better than any score.
Several children at different levels
Each child can have their own settings: the digits for Basic Math, the difficulty or operation for later topics, and the number of pages (up to 10 at a time). Because every worksheet is generated fresh, siblings working on the same topic get different problems, and the Set ID keeps each answer sheet with the right worksheet.
Moving on, or going back
Each level's overview page lists its topics in a recommended order, for example Basic Math 2 or Algebra. A reasonable rule of thumb is to move to the next setting or topic when a worksheet comes back mostly correct, and to step back to an easier setting for a few days when the same mistake keeps appearing. Stepping back keeps the daily habit going without the frustration.