Mathematics
Rational Expressions: Simplify, Multiply and Name the Restrictions
Students simplify, multiply, divide and add rational expressions, match expressions to their restrictions, and diagnose false “cancelling.”
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Mathematics
Sampling, Bias and Misleading Claims
Students classify sampling methods, spot biased samples and questions, separate correlation from causation, and expose a truncated bar graph with arithmetic.
Mathematics
Sequences and Series: Sort, Find the nth Term and Add It Up
Students classify sequences as arithmetic or geometric, find nth terms and sums, and solve a theater-seating problem.
Mathematics
Similar Figures and Scale
Students use proportions and scale factors to find missing lengths in similar figures, maps, models and shadow problems, and complete a table on how perimeter, area and volume scale.
Mathematics
Sine and Cosine Graphs: Amplitude, Period, Midline
Students read amplitude, period and midline from sine and cosine equations, build a table of values, and write equations from descriptions.
Mathematics
Slope and Linear Relationships from Points and Tables
Students find slope from two points and from tables, write y = mx + b equations, and interpret slope in real situations.
Mathematics
Slope-Intercept Form: Read It, Write It, Use It
Students read slope and y-intercept from equations, write equations in y = mx + b form from given information, and interpret a real-world line.
Mathematics
Solving and Graphing Inequalities
Students solve one- and two-step inequalities, describe how each graphs on a number line, judge true/false statements, and write inequalities for real situations.
Mathematics
Special Right Triangles: 45-45-90 and 30-60-90
Students use the side-ratio patterns of 45-45-90 and 30-60-90 triangles to find missing sides, including square diagonals and equilateral-triangle heights.
Mathematics
Surface Area of Prisms: Faces, Nets and Wrapping
Students find the surface area of rectangular and triangular prisms by adding the areas of faces, solve packaging problems and fix common mistakes.
Mathematics
Systems of Equations: Substitution and Elimination
Students solve systems of two equations by substitution and by elimination, check solutions, and use systems to solve two word problems.
Mathematics
The Pythagorean Theorem and Its Converse
Students find missing sides of right triangles in real-world situations and use the converse to test whether side lengths make a right triangle.