Blog

You can find helpful articles about mathematics and test prep in the Effortless Math blog.

Interested in Becoming an Effortless Math Guest Blogger? Click here

Search in Blog articles.

Teal ink and yellow watercolor comic of a shop owner asking about other costs while a surprised calculator compares a 20-dollar sale with a 12-dollar product cost.

Math Skills for Business Careers: Percentages, Costs and Data

Build practical math skills for business careers. Compare margin and markup, calculate break-even sales, read data and practise with a worked example.

Graphite and magenta notebook comic of a worried unlabeled supply-and-demand graph asking for labels beside a student, illustrating how to make AP Microeconomics free-response answers clear.

AP Microeconomics FRQ Graphs: Labels, Calculations and Explanations

Build clear AP Microeconomics FRQ graphs. Label curves and equilibria, show calculations and explain demand shifts with an original worked example.

Orange wax-crayon and cobalt watercolor comic of an import crate and walrus customs clerk reading a 10-dollar price plus 4-dollar tariff receipt, illustrating the small-country tariff model.

Tariff Effects: Imports, Revenue and Deadweight Loss

Blue stippled comic of an owl delivering 55 imported units to fill the gap between 85 units demanded and 30 supplied domestically at a world price of 12 dollars in the small-country model.

World Price: Identify Imports, Exports and Gains from Trade

Copper-ink archival comic of a modern history student examining a long study document with land, credit and courts tabs beside an 1877 card, highlighting questions about power and Reconstruction’s retreat.

End of Reconstruction: Sharecropping, Courts and 1877

Ochre and navy brush-pen comic of a modern history student holding a ballot and law book beside study cards for political violence, Enforcement Acts and courts, exploring protection of voting rights during Reconstruction.

Enforcement Acts: Political Violence During Reconstruction

Emerald and coral pastel illustration of a Black voter, Black and white local officeholders and a Black teacher welcoming children, showing Reconstruction participation through voting, service and public education.

Black Political Participation During Reconstruction

Olive, violet and apricot handwritten comic of study cards 13, 14 and 15 representing abolition, citizenship and equal protection, and race-based voting protections, with a reminder to check textual limits.

Reconstruction Amendments: 13th, 14th and 15th Compared

Salmon and blue watercolor comic of a student comparing Black Codes restricting labor and movement with the 1866 act protecting contracts, courts and property, without guaranteeing voting.

Black Codes and the Civil Rights Act of 1866 Explained

Plum and orange hand-drawn pop-up book showing freedpeople’s priorities of family, education, fair work and access to land, with a reminder that Bureau support had limits and land was not guaranteed.

Freedmen’s Bureau: Labor, Land, Education and Family

Brick-red and steel-blue pen-and-ink comic of the White House and Capitol presenting competing Reconstruction blueprints: Johnson’s pardons and rapid restoration versus congressional rights and readmission conditions.

Presidential vs. Congressional Reconstruction: Plans Compared

Red-chalk and graphite graphic novel scene of a Black Union veteran, woman and child in 1865 facing questions about citizenship, land and labor as Reconstruction begins.

Union Victory: Civil War Causes, Surrenders and Consequences