🇹🇷 Millî Eğitim Bakanlığı · Grade 12

Mathematics

Units follow the order of the Millî Eğitim Bakanlığı programme. Pick a topic and start.

In the labTürkçeEnglish

No finished topic in this subject yet. The first topic's trial is open.

Course plan

Units and topics

Go in order, or start from any topic.

ReadyIn the labPlanned

Unit 1

2 topics · 2 topics in the lab

In the lab

1.1

Turn growth that multiplies by the same number each step into a function, change the base, and watch the graph change.

I can write growth that multiplies by the same number each step as an exponential function.
I can use the exponent rules for zero, negative and fractional powers of the base.
I can tell from the base whether the graph rises or falls.
I can read the point (0, 1), the asymptote, the domain and the image set from the graph.
I can show with the horizontal-line test that an exponential function is one-to-one and onto.

ToolsExponential graph toolWritten inTürkçeEnglish

1.2

Turn the exponential's question around, reflect the curve in the line y = x, and draw the logarithm's graph.

I can pose the exponential function's backwards question and say why its answer is unique.
I can reflect a curve in the line y = x and show the result is a function.
I can move between logarithmic form and exponential form in both directions.
I can read the two fixed points, the vertical asymptote, the domain and the image set from the graph.
I can sketch a logarithm graph for a given base in four steps.

ToolsLogarithm graph toolWritten inTürkçeEnglish

New units appear here as they are added. The order follows the Millî Eğitim Bakanlığı programme.

In every topic

Four parts. You see it with a tool, then try it, then practise.

Starts with a scene. You move in short steps.

You use the tool yourself. Break it, fix it.

Easy, medium, hard. Questions with the same tool.

Rules, words and formulas on one page.