Free Sample Workbook · Math
Free 8th grade math worksheets, with the lesson and the answer key
One full topic — Irrational numbers — as a printable PDF. No payment.
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PDF · 17 pages · 0.6 MB · prints on US Letter · black and white works too.
The topic inside: Irrational numbers
Rational approximations; square roots on a number line
Key words
- rational number — A number that can be written as a fraction of two integers, like 3/4, -5 or 0.333...
- irrational number — A number that cannot be written as a fraction of two integers. Its decimal goes on forever without repeating, like sqrt(2) or pi.
- terminating decimal — A decimal that ends, like 0.25.
- repeating decimal — A decimal where a block of digits repeats forever, like 0.272727...
- perfect square — A number that is a whole number times itself, like 1, 4, 9, 16, 25.
- square root — A number that, multiplied by itself, gives the original number. sqrt(49) = 7 because 7 × 7 = 49.
What you need at home: paper and pencil; a ruler; a calculator (for checking only); a strip of paper or tape for a long number line.
What is in the PDF
- Quick Check — 10 questionsBefore you teach. It shows what the student already knows.
- Learn ItThe lesson you teach from: key words, step-by-step teaching with lines to read aloud, 2 worked examples and 2 common mistakes to watch for.
- We Do It Together — 10 questionsWorked side by side. The answer and the reason it is the answer are printed right after each question.
- You Try — 10 questionsThe student works alone.
- Answer KeyEvery question, its answer and a short explanation.
Each topic names the standard it addresses. That alignment is UpOnly Learning's own reading of the published standards; the people who own those standards do not review or endorse what we publish, and standards change.
After the sample
8 topics, 440 questions and 113 printed pages, with the answer key included. $19.99 as a PDF you print at home, as many copies as you need for your own household.
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Questions parents ask
One PDF of 17 pages (0.6 MB): the Irrational numbers topic in full — 30 questions across three sets, the lesson to teach from, and the answer key.
No. The PDF is free to download and free to print for students in your own household.
Irrational numbers is the first of 8 topics in 8th grade Math. The full workbook has 440 questions over 113 printed pages, with the answer key.
Not yet. Kindergarten through 8th grade now, high school coming soon. We announce each grade when it is ready.