ACT I
ACT Subject Test
Math Level 1
Algebra I Topics
Solve equations and inequalities in 1 variable and graph solutions on the number line
Solve Absolute-value equations
Solve a formula for a specific variable
Write linear equations and inequalities to capture relationships from real-world situations and graph in the coordinate plane
Find an equation of a line that goes through 2 given points, or through a given point with a given slope.
Translate between different representations of a line, including graph, table, verbale description, and different forms of equation
Represent direct and inverse variation
Solve systems of 2 equations in 2 variables; understand solution methods
Apply function concepts and determine if a relationship is a function
Find domain and range
Evaluate functions at a given values
Find rate of change in a function and connect this to slope for linear functions
Translate between different representations of a function, including graph, table, set of ordered pairs, verbal description, and equations
Factor trinomials; recognize perfect-square trinomials
Recognize and factor difference of squares
Solve quadratics equations using different methods
Identify graphs of quadratic equations and functions
Relate factors, solutions, zeros, and intercepts
Use properties of exponents
Manipulate radical and rational expressions
Interpret data representations
Identify arithmetic sequences
Find the probability of simple events
Distinguish between independent and dependent events
Identify an approximate line of best fit to model data and use a model to make predictions
Geometry I Topics
Use inductive and deductive reasoning to make valid conclusions.
Apply theorems, definitions, and axioms to solve problems and draw conclusions
Interpret a mathematical proof in different forms.
Use properties of quadrilaterals to solve problems and identify valid reasoning.
Use coordinate methods and geometric relationships to deduce whether two lines are about quadrilaterals.
Use various methods, including SSS, SAS, ASA, AAS and HL, to deduce that triangles are congruent and corresponding parts are congruent.
Use various methods including AA, SAS, and SSS, to deduce that triangles are similar, corresponding sides are proportional, and corresponding angles are congruent.
Understand and interpret geometric language.
Use angle relationships to solve problems and draw conclusions use relationships when a transversal crosses 2 parallel lines to solve problems and draw conclusions.
Interpret geometric constructions.
Identify and make deductions about a locus brackets the set of possible positions] in a plane or in three-dimensional space.
Use relationships involving medians, altitudes, perpendicular bisectors, and angle bisectors to solve problems and draw conclusions.
Apply the triangle inequality theorem about the relative size of angles and the relative size of opposite sides.
Recognize Pythagorean relationships in complex diagrams and real world contexts, and use this to solve problems and draw conclusions
Relate interior and exterior angles and angle sums to the number of sides of a Polygon.
Recognize isosceles triangles in complex contexts and use properties to solve problems and draw conclusions.
Recognize relationships between lines and line segments associated with circles, central angles, inscribed angles, intercepted arcs, and inscribed polygons and use properties to solve problems and draw conclusions.
Identify and classify two and three-dimensional shapes and use their properties to solve problems recognize cross sections of prisms, cylinders, pyramids, and cones and use relationships to solve problems and draw conclusions.
Determine points or lines of symmetry and apply properties of symmetry to solve problems and draw conclusions about figures.
Identify congruent figures and corresponding parts.
Identify similar figures and use ratio and proportion reasoning to solve mathematical and real-world problems, including situations with a geometric mean relationship such as right triangle and its altitude
Identify transformations and transformed figures.
Understand relationships between corresponding events, areas, and volumes for similar figures in terms of scale factor.
Use length, with, parameter, circumference, area, surface area, and volume relationships and formulas to solve problems and draw conclusions.
Find geometric probability and draw conclusions.
Use coordinates to solve problems about geometric figures, including the effect of reflections, rotations, translations, and dilations.
Find distance and midpoint and use distance at midpoint relationships to solve problems and draw conclusions.
Identify parallel and perpendicular lines on the basis of slope.
Find trigonometric ratios for triangles, in particular for 45-45-90 and 30-60-90 triangles.
Recognize right triangles in real world context and use the grammatic ratios to find side length and angle measures.