Mathematics
The Quadratic Formula and the Discriminant: Solve and Predict
Students use the discriminant to predict how many real solutions each quadratic has, solve six equations with the quadratic formula, and model a falling object.
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Mathematics
Transformations on the Coordinate Plane: Slide, Flip, Turn, Resize
Students apply translation, reflection, rotation and dilation rules to the vertices of a triangle and to a point, and compare congruent and similar images.
Mathematics
Triangle Angle Sum and Exterior Angles
Students use the 180° angle sum and the exterior angle theorem to find missing angles, and classify triangles by their angles and sides.
Mathematics
Triangle Congruence and a Two-Column Proof
Students match given information to congruence shortcuts (SSS, SAS, ASA, AAS, HL), judge true/false claims, and complete the reasons in a two-column proof.
Mathematics
Trig Identities: Test, Simplify, Catch the Error
Students test identity claims with numbers, use the Pythagorean identity to find missing trig values, simplify expressions, and find an algebra error.
Mathematics
Two-Step Equations: Solve, Check, Catch the Mistake
Students solve eight two-step equations, check each answer by substitution, and find the errors in sample student work.
Mathematics
Two-Step Inequalities: Solve, Test and Describe
Students solve two-step inequalities, match them to word descriptions, model budget situations and correct sample student work.
Mathematics
Unit Circle Special Angles: Fill, Convert, Match
Students complete a unit-circle table of special angles, convert between degrees and radians, and match trig expressions to exact values.
Mathematics
Unit Rates and Ratios: Which Is the Better Deal?
Students find unit rates, compare three package sizes, complete a ratio table and solve rate word problems.
Mathematics
Vectors and Polar Coordinates: Convert and Combine
Students convert between polar and rectangular coordinates, find vector magnitude and components, and add vectors on paper.
Mathematics
Volume of Prisms, Cylinders, Cones and Spheres
Students sort the volume formulas and then compute volumes of prisms, cylinders, cones, spheres and a combined solid from measurements given in words.
Mathematics
Volume of Rectangular Prisms: Packing Boxes
Students find the volume of rectangular prisms, solve for a missing edge, solve packing problems and correct sample mistakes.