PT

Pythagorean Theorem, Dilations & Systems

Grade 8 Math, ready for the projector, with tests and checked answer keys. Coming soon.

Coming soon

Try it: click the board to move the lesson forward

What's in the pack

6 animated lessons, 6 printable lesson guides and 3 tests with worked answer keys.

6 animated lessons to project

Each click shows the next step of the reasoning. You lead at your class's pace. Every lesson also comes as a printable lesson guide (PDF, Letter size), for planning or for a class without a projector.

  1. Dilations and Similar TrianglesA dilation with scale factor 2: angles stay the same, every side doubles, and a missing side follows. CCSS 8.G.A.4.
  2. The Pythagorean TheoremThe unit squares on the legs fill the square on the hypotenuse: 9 + 16 = 25. CCSS 8.G.B.6 · 8.G.B.7.
  3. Distance Between Two PointsDraw a right triangle on the grid and let the Pythagorean theorem find the distance. CCSS 8.G.B.8.
  4. Square Roots and Cube RootsA square with area 36 and a cube with volume 64 lead to x² = 36 and x³ = 64. CCSS 8.EE.A.2.
  5. Solving Systems by GraphingTwo equations, two lines, one solution: the point where they cross. CCSS 8.EE.C.8a.
  6. Solving Systems AlgebraicallyMovie tickets solved by elimination, then by substitution. CCSS 8.EE.C.8b · 8.EE.C.8c.

3 tests with worked answer keys

Unit Test, Retake, Make-up Test. 10 questions each, 100 points total.

  • 6 multiple-choice and 4 open-response questions, with grid space to show work
  • Answer key with step-by-step solutions and the student mistake behind each wrong choice
  • Ready-to-use rubrics for the open-response questions
  • Word to edit, PDF to print
Lesson menu of the pack
The lesson menu, open in the browser
First page of the unit test
Unit test
First page of the answer key
Worked answer key

How it works

You buy

One payment, in a secure online checkout.

It arrives by email

Your download link arrives right after payment. You download the lessons and the tests.

Project and teach

Open a lesson in the browser and click to move forward. Print a test or edit it in Word.

FAQ

When can I buy it?

The buy button will appear on this page as soon as checkout opens.

What if my classroom has no projector?

Every lesson also comes as a printable lesson guide: a Letter-size PDF with every step, figure and explanation, on a light background to save ink. Use it to plan, to leave with a substitute, or to teach from the board.

Do I need internet in class?

No. The lessons open in the browser of the computer connected to your projector or TV, and they work offline. They also open on a phone.

Can I edit the tests?

Yes. Every test and answer key comes in Word (editable) and PDF (print-ready). The header has space for your school's logo and name.

Are the answers really right?

Every answer was computed by a program and then checked by a second, independent solution that never looked at the key. Every multiple-choice question has exactly one correct answer.

Is it aligned to Common Core?

Yes. Every lesson and every question lists the Common Core standard it covers.