# EST I

## EST II Subject Test

Math Level 1

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## Algebra, Statistics and Probabiliy

### Equations and inequalities and their graphs.

### Direct and inverse variation.

### Subject of the formula

### Linear equations and inequalities to model real-world situations and graph in the coordinate plane

### Equation of a line through 2 given points, or through a given point with a given slope.

### Representations of a line, including graph, table, verbale description, and different forms of equation

### Absolute-value functions and equations.

### Systems of two equations in two variables

### Apply function concepts and relationship

### Domain and range

### Evaluate functions at a given values

### Rate of change in a function and connect this to slope for linear functions

### Representations of a function, including graph, table, set of ordered pairs, verbal description, and equations

### Factor trinomials; recognize perfect-square trinomials

### Difference of squares

### Solving Quadratics equations

### Graphs of quadratic equations and functions

### Relate factors, solutions, zeros, and intercepts

### Properties of exponents

### Radical and rational expressions

### Interpret data representations

### Arithmetic sequences

### Probability of simple events

### Independent and dependent events

### Line of best fit

## Geometry and Trigonometry

### Inductive and deductive reasoning

### Apply theorems, definitions, and axioms to solve problems and draw conclusions

### Interpret a mathematical proof in different forms.

### Properties of quadrilaterals

### Use coordinate methods and geometric relationships to deduce whether two lines are about quadrilaterals.

### Use SSS, SAS, ASA, AAS and HL, to deduce that triangles are congruent and corresponding parts are congruent.

### Use AA, SAS, and SSS, to deduce that triangles are similar, corresponding sides are proportional, and corresponding angles are congruent.

### Understand and interpret geometric language.

### Angle relationships of a transversal crossing 2 parallel lines.

### Interpret geometric constructions.

### The locus of points in a plane or in three-dimensional space.

### Medians, altitudes, perpendicular bisectors, and angle bisectors

### Triangle inequality theorem and the relative size of angles and the relative size of opposite sides.

### Pythagorean relationships

### Interior and exterior angles and angle sums to the number of sides of a Polygon.

### Isosceles triangles and use properties to solve problems and draw conclusions.

### Lines and line segments associated with circles, central angles, inscribed angles, intercepted arcs, and inscribed polygons

### Two and three-dimensional shapes and their properties: cross sections of prisms, cylinders, pyramids, and cones

### Points or lines of symmetry

### Congruent figures and corresponding parts.

### Similar figures, ratio and proportion.

### Transformations and transformed figures.

### Relationships between corresponding sides, areas, and volumes for similar figures in terms of scale factor.

### Length, with, parameter, circumference, area, surface area, and volume relationships and formulas

### Geometric probability and draw conclusions.

### Reflections, rotations, translations, and dilations.

### Distance and midpoint formulas

### Parallel and perpendicular lines on the basis of slope.

### Trigonometric ratios for triangles, in particular for 45-45-90 and 30-60-90 triangles.

### Right triangles in real world context and use the grammatic ratios to find side length and angle measures.