High School - Essential Elements

Number and Quantity

Algebra

 Functions

Geometry

 Statistics and Probability

The Real Number System

Quantities

The Complex Number System

Seeing Structure in Expressions

Creating Equations

Reasoning with Equations and Inequalities

Interpreting Functions

Building Functions

Linear, Quadratic, and Exponential Models

Congruence

Expressing Geometric Properties with Equations

Geometric Measurement and Dimension

Modeling with Geometry

Interpreting Categorical and Quantitative Data

Making Inferences and Justifying Conclusions

Conditional Probability and the Rules of Probability

Determine the value of a quantity that is squared or cubed.

Express quantities to the appropriate precision of measurement.

Use the commutative, associative, and distributive properties to add, subtract, and multiply whole numbers

Solve real-world problems involving addition and subtraction of decimals, using models when needed

Solve real-world problems involving multiplication of decimals and whole numbers, using models when needed.

Identify an algebraic expression involving one arithmetic operation to represent a real-world problem.

Solve simple algebraic equations with one variable using multiplication and division.

Determine the successive term in a geometric sequence given the common ratio

Create an equation involving one operation with one variable, and use it to solve a real-world problem.

Determine the successive term in a geometric sequence given the common ratio

Interpret the meaning of a point on the graph of a line. For example, on a graph of pizza purchases, trace the graph to a point and tell the number of pizzas purchased and the total cost of the pizzas.

Use the concept of a function to solve problems

Construct graphs that represent linear functions with different rates of change and interpret which is faster/slower, higher/lower, etc.

Select the appropriate graphical representation (first quadrant) given a situation involving constant rate of change.

Determine an arithmetic sequence with whole numbers when provided a recursive rule.

Model a simple linear function such as y = mx to show that these functions increase by equal amounts over equal intervals.

Know the attributes of perpendicular lines, parallel lines, and line segments; angles; and circles.

Given a geometric figure and a rotation, reflection, or translation of that figure, identify the components of the two figures that are congruent

Identify corresponding congruent and similar parts of shapes.

Find perimeters and areas of squares and rectangles to solve realworld problems

Make a prediction about the volume of a container, the area of a figure, and the perimeter of a figure, and then test the prediction using formulas or models

Identify the shapes of two-dimensional cross-sections of threedimensional objects.

Use properties of geometric shapes to describe real-life objects.

Given data, construct a simple graph (line, pie, bar, or picture) or table, and interpret the data.

Interpret general trends on a graph or chart

Calculate the mean of a given data set (limit the number of data points to fewer than five).

Determine the likelihood of an event occurring when the outcomes are equally likely to occur.

. Identify when events are independent or dependent.