Math
Math Staff
EPHS Math Requirements
Minimum Required Courses in Math: 3.0 credits in grades 912. 4 credits qualifies student for Diploma of Distinction

Class of 2025 are required to have 4.0 credits in math
 Class of 2026 and beyond qualify for Diploma of Distinction with a GPA of 3.5 and 4.0 credits in math
This list of courses provides the most uptodate course offering information.
Students are required to take 3 credits of math during their time at EPHS. The regular pathway for Math is Algebra I, Geometry and Algebra II. In addition, students may take Probability & Statistics, PreCalculus and AP Calculus.
Students who anticipate going to college should prioritize higherlevel math electives, such as PreCalculus and AP Calculus.
Math Course Descriptions
Math
Accelerated Algebra
This course allows students to discover and learn Algebra. Students will reinforce previouslylearned concepts through a growthmindset model. Topics include: Algebraic concepts, essential algebra skills, and how to use algebra in realworld situations. The concepts of algebra will blend with geometry, data analysis, discrete mathematics, and statistics. The students will frequently consider and represent patterns involving shape and size, as well as those found in data sets. The students will engage in both guided and openended mathematical explorations that will help them understand mathematics.
Algebra I
This course allows students to discover and learn Algebra. Students will learn important algebraic concepts, essential algebra skills, and how to use algebra in realworld situations. The concepts of algebra will blend with geometry, data analysis, discrete mathematics, and statistics. The students will frequently consider and represent patterns involving shape and size, as well as those found in data sets. The students will engage in both guided and openended mathematical explorations that will help them understand mathematics.
Algebra II
Concepts from Algebra I and Geometry will be reviewed and expanded, and new content will include: Systems of equations, various families of functions, and trigonometry. Students will also work on collaborative and independent projects designed to develop problem solving and analytical thinking skills.
AP Calculus
Topics covered in AP Calculus will include: Functions, limits, derivatives, and integrals. The intent of the course is to prepare the student to take the national AP Calculus AB examination administered in May. Colleges may award college credit based on a student's test score.
Geometry
Students will learn about geometric properties and proofs. Other included topics are geometric art, inductive and deductive reasoning, constructions, triangles and their properties, polygons and their properties, circles and their properties, area, Pythagorean theorem, volume, similarity, and transformations. The curriculum provides engaging handson activities with classic geometry tools and digital formats to help students both discover and prove geometry facts and theorems. Students will also work on collaborative and independent projects designed to develop problem solving and analytical thinking skills.
PreCalculus
In this course, students will continue the study of functions and their graphs, including polynomial, rational, exponential, logarithmic, and trigonometric functions. Students will also explore applications of trigonometry and trigonometric identities, sequences, series, probability, vectors, matrices, and several topics in analytic geometry. This course is designed to give students the skills needed to succeed in AP Calculus or a college mathematics course.
Probability & Statistics
The purpose of statistics is to introduce students to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. Students are exposed to four broad conceptual themes: Exploring Data: Describing patterns and departures from patterns; Sampling and Experimentation: Planning and conducting a study; Anticipating Patterns: Exploring random phenomena using probability and simulation; and Statistical Inference: Estimating population parameters and testing hypotheses.
High School Math Curriculum
 Algebra I & Accelerated Algebra I
 Geometry
 Algebra II
 Functional Math
 PreCalculus
 Probability & Statistics
Algebra I & Accelerated Algebra I
Quarter 1
Module 1: Expressions
Learning Targets
 Students write and evaluate numerical algebraic expressions

Students explore order of operations

Students write and evaluate algebraic expressions

Students apply properties of real numbers to simplify expressions

Students simplify expressions using distributive property

Students evaluate absolute value expressions

Students use quantities for descriptive modeling and report appropriate level of accuracy
Module 2: Equations in OneVariable
Learning Targets

Students create and interpret equations that describe relationships

Students solve equations by using addition, subtraction, multiplication and division

Students solve multistep equations for specific lettered coefficients by applying properties of equality

Students solve equations with the variables on each side by applying the properties of equality and the distributive property

Students solve absolute value equations

Students solve equations involving proportions

Students solve equations for specific variables and convert units of measure by applying the properties of equality
Quarter 2
Module 3: Relations & Functions
Learning Targets
 Students represent relations with graphs, ordered pairs, tables, and mappings

Students determine whether a relation is a function and find function values

Students identify linear and nonlinear functions and continuous and discrete functions

Students identify intercepts of functions and solve equations by graphing

Students identify symmetry, extrema and end behavior functions

Students sketch graphs of functions and compare two or more functions
Module 4: Linear & Nonlinear functions
Learning Targets
 Students graph linear functions by using tables and intercepts

Students find and interpret the rate of change and slopes of lines

Students graph equations in slopeintercept form

Students identify the effects of transformations of graphs of linear functions

Students write and graph equations of arithmetic sequences

Students graph piecewise defined and step functions

Students identify the effects of transformations of the graphs of absolute value functions
Quarter 3
Module 5: Creating Linear Equations
Learning Targets
 Students create linear equations in slopeform

Students create linear equations in pointslope form and standard form

Students use scatter plots to make and evaluate predictions

Students determine whether a situation illustrates corrections or causation

Students use bestfit lines and correlation coefficients to determine how well linear functions fit sets of data

Students find inverses of functions
Module 6: Linear Inequalities
Learning Targets
 Students use addition, subtraction, multiplication, and division to solve inequalities

Students solve inequalities by use of more than one step

Students write and solve combinations of two inequalities joined by ‘and’ or ‘or’

Students graph linear inequalities on the coordinate plane
Module 7: Systems of Linear Equations & Inequalities
Learning Targets
 Students solve systems of equations by graphing

Students solve system of equations by substitution

Students solve systems of equations by elimination with addition or subtraction

Students solve system of equations by using elimination with multiplication

Students solve systems of inequalities by graphing
Quarter 4
Module 8: Exponents & Roots
Learning Targets
 Students apply the multiplication properties of exponents to simplify expressions

Students apply the division properties of exponents to simplify expressions

Students apply the properties of zero and negative exponents to simplify expressions

Students apply the properties of rational exponents to simplify expressions

Students simplify radical expressions

Students solve expressions with radical expressions

Students solve exponential equations
Module 9: Exponential Functions
Learning Targets
 Students graph exponential functions

Students identify the effects of transformations of the graphs of exponential functions

Students create exponential functions and solve problems involving exponential growth and decay

Students use the properties of exponents to transform expressions for exponential functions

Students write and graph equations of geometric sequences

Students write geometric and arithmetic sequences recursively
Geometry
Quarter 1
Module 1: Tools of Geometry
Learning Targets
 Students use geometric notation and terminology

Students draw and interpret geometric models

Students find the distance between any two points

Students locate any point along a segment, given a fraction of the distance

Students locate the midpoint between any two points

Students use algebra to solve for lengths of segments
Module 2: Angles & Geometric Figures
Learning Targets

Students identify and use different kinds of angles

Students figure out information based on complimentary and supplementary angles

Students find measures of two dimensional figures

Students model threedimensional figures with twodimensional representations

Students apply the definitions of precision, accuracy, and error to data

Students use significant figures
Module 3: Logical Arguments and Line Relationships
Learning Targets

Students use inductive reasoning and counterexamples

Students write and analyze compound statements by using logic

Students apply the Laws of Detachment and Syllogism
Quarter 2
Module 3: Logical Arguments & Line Relationships
Learning Targets
 Students analyze and construct viable arguments

Students identify and use relationships between parallel lines and transversals

Students classify lines as parallel, perpendicular, or neither

Students identify and use parallel lines by using angle relationships

Students use perpendicular lines to find distance
Module 4: Transformations & Symmetry
Learning Targets
 Students use rigid motions to reflect figures on the coordinate plane

Students use rigid motions to translate figures on the coordinate plane

Students use rigid motions to rotate figures about points on the coordinate plane

Students complete compound transformations

Students identify rotational and line symmetry
Module 5: Triangles & Congruence
Learning Targets
 Students solve problems using the Triangle AngleSum Theorem

Students prove and use triangle congruence
Quarter 3
Module 5: Triangles & Congruence
Learning Targets
 Students use triangle congruence theorems

Students prove right triangles congruent

Students solve problems involving isosceles and equilateral triangles

Students write coordinate proofs for congruent triangles
Module 7: Quadrilaterals
Learning Targets
 Students prove and use theorems about the interior and exterior angles of polygons

Students use the properties of parallelograms to solve problems

Students determine whether quadrilaterals are parallelograms

Students recognize and apply the properties of rectangles

Students recognize and apply the properties of rhombi and squares

Students solve problems using the properties of trapezoids and kites
Module 8: Similarity
Learning Targets
 Students draw and analyze dilated figures using tools or functions

Students solve problems using the definition of similar polygons

Students use triangle proportionality to solve problems and prove theorems
Module 9: Right Triangles & Trigonometry
Learning Targets
 Students solve problems involving relationships between parts of a right triangle and the altitude to its hypotenuse using the geometric mean

Students solve problems using the Pythagorean Theorem and its converse
Quarter 4
Module 9: Right Triangles & Trigonometry
Learning Targets
 Students solve problems by using the properties of 45°45°90° and 30°60°90° triangles

Students solve problems using the trigonometric ratios and the inverse trigonometric ratios for acute angles

Students solve application problems using the trigonometric ratios and their inverses
Module 10: Circles
Learning Targets
 Students find and apply the formulas for the circumference and area of a circle

Students find measures of angles and arcs using the properties of circles

Students solve problems using the relationships between arcs, chords, and diameters

Students solve problems using inscribed angles
Module 11: Measurement
Learning Targets
 Students find areas of quadrilaterals by using the formulas they derive

Students find areas of regular polygons by using the formulas they derive

Students find areas of circles and sectors by using the formulas they derive

Students find surface areas of prisms, cylinders, pyramids, cones, and spheres and composites of these shapes using the formulas they derive

Students find measures of similar figures and solids by using scale factors

Students solve application problems involving density by using area and volume
Algebra II
Quarter 1
Module 1: Algebra I Review, Relations & Functions
Learning Targets
 Students determine the continuity of functions and whether functions are onetoone

Students determine linearity, intercepts and symmetry of functions

Students identify extrema and end behavior of functions

Students sketch graphs of functions and compare two functions represented in different ways

Students graph linear functions and inequalities in two variables

Students write and graph piecewisedefined, step and absolute value functions

Students identify and use transformations of functions
Module 2: Linear Equations, Inequalities & Systems
Learning Targets

Students solve linear equations and inequalities in one variable

Students solve equations and inequalities involving absolute value algebraically and graphically

Students write linear equations in standard, slopeintercept, and pointslope form

Students solve systems of equations by graphing, substitution, and elimination

Students solve systems of inequalities in twovariables

Students use linear programming to find maximum and minimum values of a function
Quarter 2
Module 3: Quadratic Functions
Learning Targets
 Students graph quadratic functions

Students solve quadratic equations by graphing

Students perform operations with pure imaginary and complex numbers

Students solve quadratic equations by factoring

Students simplify quadratic expressions by using the Square Root Property and completing the square

Students use the quadratic formula and discriminant to solve quadratic equations and determine the number and type of roots

Students solve a system of linear and quadratic equations
Quarter 3
Module 4: Polynomials & Polynomial Functions
Learning Targets
 Students analyze polynomial functions by examining key features and graphing

Students add, subtract, multiply polynomials

Students divide polynomials using long and synthetic division
Module 5: Polynomial Equations
Learning Targets
 Students solve polynomial equations by graphing

Students solve polynomial equations by factoring and by writing them in quadratic form

Students evaluate and factor functions using the Remainder and Factor Theorem

Students determine the number and types of roots of polynomial equations, find zeros of polynomial functions
Module 6: Inverse & Radical Functions
Learning Targets
 Students simplify operations of functions, and determine compositions of functions

Students graph and find inverse functions

Students simplify expressions involving radicals and rational exponents

Students graph and analyze square root and cube root functions

Students simplify and perform operations with radical expressions

Students solve radical equations algebraically and by graphing
Quarter 4
Module 7: Exponential Functions
Learning Targets
 Students graph exponential growth and decay functions

Students solve exponential equations algebraically and by graphing

Students analyze expressions and functions involving the natural base e

Students generate geometric series and find their sums

Students choose the best function type to model sets of data by using technology
Module 8: Logarithmic Functions
Learning Targets
 Students write and evaluate logarithms and graph logarithmic functions

Students simplify logarithmic expressions and solve logarithmic equations

Students simplify natural logarithmic expressions and solve natural logarithmic equations

Students write exponential growth and decay equations and solve them by using logarithms
Module 9: Rational Functions
Learning Targets
 Students add, subtract, multiply and divide rational expressions

Students graph and analyze reciprocal and rational functions

Students recognize and solve direct, joint, inverse and combined variation equations

Students solve rational equations algebraically and graphically
Functional Math
Quarter 1
Unit 1: Numbers and Number Sense
Learning Targets 
 Students recognize and write whole numbers and understand their place value

Students compare and order numbers effectively

Students round numbers and estimate quantities

Students represent numbers on a number line
Unit 2: Basic Operations and Problem Solving
Learning Targets
 Students add and subtract whole numbers, both with and without regrouping

Students multiply and divide singledigit and twodigit numbers

Students solve word problems using addition, subtraction, multiplication, and division

Students apply these operations to reallife situations
Quarter 2
Unit 3: Fractions and Decimals
Learning Targets
 Students identify, compare, and order fractions

Students add and subtract fractions with like denominators

Students convert fractions to decimals and vice versa

Students relate fractions and decimals to realworld contexts
Unit 4: Measurement and Geometry
Learning Targets
 Students use units of measurement for length, weight, and capacity

Students measure and convert using customary and metric units

Students identify 2D and 3D shapes

Students grasp basic geometry concepts such as lines, angles, and symmetry
Quarter 3
Unit 5: Time and Money
Learning Targets 
 Students tell time, both analog and digital, to the minute

Students calculate elapsed time and perform time conversions

Students identify and count money, including coins and bills

Students make change and solve moneyrelated problems effectively
Unit 6: Data and Graphs
Learning Targets 
 Students collect and organize data systematically
 Students create and interpret bar graphs and pictographs

Students read and analyze simple tables and charts

Students predict and draw conclusions from data
Quarter 4
Unit 7: Introduction to PreAlgebra
Learning Targets 
 Students solve variables and expressions

Students evaluate simple algebraic expressions

Students solve basic onestep equations

Students apply prealgebra concepts to reallife scenarios
Unit 8: Comprehensive Review and Reinforcement
Learning Targets 
 Students review and consolidate previously learned mathematical concepts

Students engage in targeted practice and reinforcement tailored to individual needs

Students apply math skills to functional contexts and realworld situations
PreCalculus
Quarter 1
Chapter R: Review Topics
Learning Targets
 Students use interval and set notation

Students manipulate polynomial expressions

Students apply exponent rules

Students solve any equation: linear, quadratic, polynomial, absolute value, radical

Students find and use the discriminant of a quadratic

Students solve and interpret inequalities
Chapter 1: Functions & Relations
Learning Targets

Students identify whether a relation is a function

Students graph a circle given the general equation of a circle

Students write the general equation of a circle

Students name the domain and range limitations of a function

Students find and use the average rate of change

Students apply linear equations

Students utilize linear regression to make predictions

Students recognize and transform basic functions

Students analyze piecewisedefined functions

Students add/ subtract/ multiply/ divide functions with each other

Students compose functions
Quarter 2
Chapter 2: Polynomials & Rational Functions
Learning Targets
 Students analyze and use quadratic functions

Students sketch the graph of a polynomial function

Students divide polynomial expressions

Students apply the Fundamental Theorem of Algebra

Students use the equation of a rational function to identify asymptotes

Students graph a rational function
Chapter 3: Exponential & Logarithmic Functions
Learning Targets
 Students find the inverse of a function

Students graph, evaluate, and apply exponential functions

Students evaluate and graph logarithmic functions

Students apply the properties of logarithms

Students apply the change of base formula for logarithms

Students solve exponential and logarithmic equations

Students create models for exponential growth and decay
Chapter 8: Systems of Equations & Inequalities
Learning Targets
 Students apply and solve systems of linear equations with two variables

Students apply and solve systems of linear equations with three variables

Students execute partial fraction decomposition

Students apply and solve systems of nonlinear equations

Students set up and solve linear programming applications
Quarter 3
Chapter 9: Matrices & Determinants & Applications
Learning Targets
 Students write an augmented matrix and use it to solve problems

Students identify inconsistent systems

Students solve and apply systems with dependent equations

Students execute arithmetic operations with matrices

Students identify and use inverse matrices

Students evaluate the determinant of a matrix
Chapter 4: Trigonometric Functions
Learning Targets
 Students use radians to study angles and circles

Students apply trigonometric functions to the unit circle

Students apply trigonometric functions to situations which translate to right triangles

Students evaluate trigonometric functions of any angle

Students graph sine and cosine functions, to include transformations

Students graph secant, cosecant, tangent, and cotangent functions, to include transformations

Students manipulate equations using the inverse trigonometric functions
Quarter 4
Chapter 5: Analytic Trigonometry
Learning Targets
 Students use trigonometry in algebra

Students apply the sum and difference formulas for trigonometry

Students use the double angle, half angle, and power reducing formulas

Students use identities to translate trigonometric function products to sums, and vice versa

Students solve trigonometric equations
Chapter 6: Applications of Trigonometric Functions
Learning Targets
 Students solve applications of right triangles

Students apply the Law of Sines

Students apply the Law of Cosines
Chapter 7: Trigonometry Applied to Polar Coordinate Systems & Vectors
Learning Targets
 Students translate between polar and Cartesian coordinates

Students graph polar equations

Students manipulate complex numbers using polar form

Students interpret vectors geometrically

Students break vectors into components

Students apply vector math

Students compute and apply the dot product
Probability & Statistics
Quarter 1
Chapter 1: The Nature of Statistics
Learning Targets
 Students demonstrate knowledge of statistical terms

Students differentiate between the two branches of statistics

Students identify types of data

Students identify measurement level for each variable

Students identify four sampling techniques

Students explain the difference between an observational and experimental study

Students explain how statistics can be used and misused

Students explain the importance of computers and calculators in statistics
Chapter 2: Frequency Distributions & Graphs
Learning Targets

Students organize data using a frequency distribution

Students represent data in frequency distributions graphically using histograms, frequency polygons and ogives

Students represent data using bar graphs, Pareto charts, time series graphs, pie graphs, and dot plots

Students draw and interpret a stem and leaf plot
Quarter 2
Chapter 3: Data Description
Learning Targets
 Students summarize data using measures of central tendency such as mean, median, mode, and midrange

Students describe data using measures of variation such as the range, variance, and standard deviation

Students identify the position of a data value in a data set using various measures of position such as z scores, percentiles, deciles, and quartiles

Students discover and describe various aspects of data using the techniques of exploratory data analysis including boxplots and fivenumber summaries
Chapter 4: Probability & Counting Rules
Learning Targets
 Students determine samples spaces and find the probability of an event using classical probability or empirical probability

Students find the probability of compound events using addition rules

Students find the probability of compound events using multiplication rules

Students find the conditional probability of an event

Students find the total number of outcomes in a sequence of events using the fundamental counting rule

Students find the number of ways that r objects can be selected from n objects using the permutation rule

Students find the number of ways that r objects can be selected from n objects without regard to order using the combination rule

Students find the probability of an event using the counting rules
Chapter 5: Discrete Probability Distributions
Learning Targets
 Students construct a probability distribution for a random variable

Students find the mean, variance, standard deviation, and expected value for a discrete random variable

Students find the exact probability X successes in n trials of a binomial experiment

Students find the mean, variance, and standard deviation for the variable of a binomial distribution

Students find the probabilities for outcomes of variables using the Poisson, hypergeometric, geometric, and multinomial distributions
Quarter 3
Chapter 6: The Normal Distribution
Learning Targets
 Students identify the properties of the normal distribution

Students identify distributions and symmetric or skewed

Students find the area under the standard normal distribution given various z values

Students find probabilities for a normally distributed variable by transforming it into a standard normal variable

Students find specific data values for given percentages using the standard normal distribution

Students solve problems involving sample means for large samples using the central limit theorem

Students compute probabilities for a binomial variable using the normal approximation
Chapter 7: Confidence Intervals & Sample Size
Learning Targets
 Students find the confidence interval for the mean when the population standard deviation is known

Students determine the minimum sample size for finding a confidence interval of the mean

Students find the confidence interval of the mean when the population standard deviation is unknown

Students find the confidence interval for a proportion

Students determine the minimum sample size for finding a confidence interval for a proportion

Students find a confidence interval for a variance and a standard deviation
Quarter 4
Chapter 8: Hypothesis Testing
Learning Targets
 Students demonstrate knowledge of terms used in hypothesis testing

Students state the null and alternative hypothesis

Students find critical values for the z test

Students state the five steps used in hypothesis testing

Students test means when population standard deviation is known using the z test

Students test means when population standard deviation is unknown using the t test

Students test proportions using the z test

Students test variances or standard deviations using the chisquare test

Students test hypotheses using confidence intervals

Students explain the relationship between type I and type II errors and the power of a test
Chapter 9: Testing the Difference Between Two Means, Two Proportions, & Two Variances
Learning Targets
 Students test the difference between two means using the z test

Students test the difference between two means for independent samples using the t test

Students test the difference between two means for dependent samples

Students test the difference between two proportions

Students test the difference between two variances or standard deviations