## Elementary School Math Courses

### Kindergarten Math Course

(Full Year Course) Kindergarten Math explores fundamental concepts of numbers, helping students to make connections between concrete objects and numbers.  For the numbers 1-20, students learn to recognize word forms, identify and write numerical values, and compare numbers using symbols (<, >, =). Students master counting to 100 and skip counting by tens. Students learn that addition is the joining of numbers, and subtraction is the separation of numbers. The course teaches students addition and subtraction to 10 using models, pictures, number bonds, and number lines. Other concepts covered in this course include shapes and their attributes, measurements, data collection and sorting, picture graphs, and financial literacy. Throughout the course, students get hands-on experience and practice counting with manipulatives, number lines, and charts. Colorful, clear, and engaging visuals are used throughout the course to enhance student learning.

(Full Year Course) In 1st Grade Math, students will extend their understanding of number concepts from 0 to 120. The course starts with a review of kindergarten concepts and introduces place value. Students will compare numbers using symbols (<, >, =) and number lines. The course teaches students addition and subtraction using multiple methods. The methods include composing and decomposing numbers with number bonds, number lines, hundreds charts, doubles, doubles plus one, ten less ten more, place value models, expanded and standard forms, and algorithms. These methods are also used for missing values and story problems. Other concepts covered in this course include shapes and solids, fractions, measurements of length and time, data collection, pictographs and bar graphs, and financial literacy and U.S. currency. Throughout the course, students practice addition and subtraction math facts for numbers up to 20. Each Unit also has hands-on activities and projects to further students’ understanding of spiraling concepts.

(Full Year Course) 2nd Grade Math extends students’ understanding of number concepts and place value up to the number 1,200. The course starts with teaching students to read and write numbers in different forms. Students will compare numbers using symbols (<, >, =) and number lines. Students will also learn about even and odd numbers.  The course teaches students addition and subtraction using multiple methods and spiraling. Methods include composing and decomposing numbers with expanded and standard forms, number lines, hundreds charts, place value models, and algorithms. These methods are also applied in solving one- and two-step word problems. Students learn to use mental math to add tens and hundreds. The mental math also helps students better understand place value. Other concepts covered in this course include fractions, multiplication and division, geometric shapes, measurements, time, data from pictographs and bar graphs, money, and financial literacy. Throughout the course, students practice addition and subtraction math facts for numbers up to 20.

(Full Year Course) The primary focal areas in 3rd Grade Math are place value, operations of whole numbers, and understanding fractional units. Students will learn the purpose of rounding numbers and learn to identify values on a number line. Students will perform the operations of addition, subtraction, multiplication, and division. They will learn and practice multiplication through 10. They will also learn to model division in different ways, including grouping and using arrays. The mathematical strands of algebraic reasoning, geometry and measurement, and data analysis are presented and practiced. The use of tables, graphs, and charts is thoroughly explained, and concepts of financial literacy are also covered.

(Full Year Course) The primary focal areas in 4th Grade Math are the use of operations, fractions and decimals, and describing and analyzing geometry and measurement. Students will practice multiplication and divide 4-digit numbers by single-digit divisors. They will also learn about estimating quotients. Students will learn and practice addition and subtraction of fractions. Algebraic concepts will include working with equations and solving multi-step problems. Perimeter and area problems will also be performed. Financial literacy topics are also covered.

(Full Year Course) 5th Grade Math will develop students’ mathematical problem-solving skills. Beginning with an overview of place values, students will learn to regroup numbers and estimate sums and differences. Students will learn to multiply and divide numbers with more than one digit. Proficiency will be gained in adding, subtracting, multiplying, and dividing fractions and whole numbers. Students will solve problems using basic numerical and algebraic expressions. Geometry includes lines, angles, polygons, and polyhedrons. Customary and metric measurements will be used to solve problems. Students will organize and present mathematical data using line graphs, scatterplots, bar graphs, and other visual aids. The course concludes with the application of math skills in the study of financial concepts.

### Fifth Grade Math STAAR® Study Guide (Texas Standards)

5th Grade Math will develop students’ mathematical problem-solving skills. Beginning with an overview of place values, students will learn to regroup numbers and estimate sums and differences. Students will learn to multiply and divide numbers with more than one digit. Proficiency will be gained in adding, subtracting, multiplying, and dividing fractions and whole numbers. Students will solve problems using basic numerical and algebraic expressions. Geometry includes lines, angles, polygons, and polyhedrons. Customary and metric measurements will be used to solve problems. Students will organize and present mathematical data using line graphs, scatterplots, bar graphs, and other visual aids. The course concludes with the application of math skills in the study of financial concepts.

## Middle School Math Courses

(Full Year Course) Sixth grade math has a primary focus in the area of numbers and their operations, proportionally, expressions and equations, geometry, measurements, and statistics. Students are exposed to concepts, including fractions, decimal operations, and ratios. They learn and practice the geometric principles of area and volume. In algebra, students learn to balance equations, solve inequalities, and perform functions. Students are also taught and given the opportunity to practice statistical representations and interpretation of data. Further topics on financial literacy are also covered in this course.

(Full Year Course) This course reviews many concepts of mathematics, and it introduces new concepts of graphing and financial information. Students work with sets and subsets, rational and irrational numbers, and exponents. Other topics include order of operations, additive inverses, and a thorough treatment of decimals. Algebraic concepts include ratios, rates, proportions, equations, and inequalities. Geometry concepts include triangles, circles, and circumferences. Students are taught graphing concepts such as plotting in different forms. Probability is covered, as well as financial topics, including interest, taxes, and budgeting.

(Full Year Course) This course emphasizes the application of mathematics to real-life scenarios, helping the student to build skills in problem solving. Its topics include expressions, equations, relationships, proportions, geometric shapes, measurements, and the use of information. Emphasis is given to the interpretation and creation of graphs and charts that express, describe, and apply data. Students are also given instruction in finance, especially in the area of personal financial literacy. This course ensures that students have mastered the basic skills needed to enter high school mathematics courses.

### Eighth Grade Math STAAR® Study Guide (Texas Standards)

In the 8th Grade Math STAAR® Study Guide, students are provided a comprehensive review of the current tested TEKS by reporting category. This guide contains easy-to-read summaries and practice problems for the key concepts tested on the 8th Math STAAR® assessment. The guide also includes three Practice Tests with detailed answer explanations. Each test is built to have similar rigor and content to what students experience on the STAAR® assessment. Each question has been assigned the appropriate TEKS and category, so students have the information they need to focus on areas of improvement.

## High School Math Courses

### Algebra I Course

(Full Year Course) Algebra I is a common starting point for high school math studies. A review of fundamental math skills in unit 1 will ensure students are ready for algebraic concepts. Students’ math competence will grow as they learn to solve expressions, functions, and equations by using formulas, ratios, proportions, percentages, and rates. Other concepts include exponents and scientific notation, polynomials and trinomials, multi-step inequalities, slope formulas, and systems of equations and inequalities. Students will solve quadratic functions through various methods including graphing, factoring, square roots, completing the square, and the quadratic equation. Using tables and graphs, students will analyze and organize data and statistics. Students will learn to work and solve exponential, radical, and rational functions and equations. The final unit ties algebraic concepts to the study of geometry.

### Algebra II Course

(Full Year Course) Algebra II will consolidate and build on students’ knowledge acquired in Algebra I. After a review of Algebra I concepts, students will take an in-depth look at linear equations, inequalities, and functions. Students will be introduced to matrices, apply Cramer’s Rule in solving linear systems, and solve graphs and equations of conic sections. Using graphs, factoring, and the quadratic formula, students will solve quadratic equations, inequalities, and functions. Students will investigate how to graph, factor, invert and solve polynomials, as well as solve rational expressions, radical expressions, fractional exponents, and rational inequalities. Students will examine the properties, transformations, and applications of exponential and logarithmic functions. Applying probability and data analysis, students will determine probability and model data. The final unit will present trigonometric concepts to prepare students advancing to trigonometry.

### Mathematical Models Course

(Full Year Course) The Math Models course applies mathematical concepts to real-life situations. The course begins with a review of basic math concepts before presenting an overview of geometry, probability and statistics, and problem-solving. Students will learn to conduct and analyze research by collecting and describing data using graphs and models that find application in disciplines as diverse as science, trigonometry, art, architecture, and music. Students will employ theoretical, empirical, and binomial probability to predict the likelihood of outcomes. Using math models, students will better understand personal finance issues including compensation, budgeting, taxes, bank accounts, and compound interest. Applying math models to analyze the pros and cons of credit cards, renting or purchasing a home, leasing or purchasing a vehicle, and investments and insurance will enable students to be smarter consumers.

### Geometry Course

(Full Year Course) This course, dealing primarily with two-dimensional Euclidean geometry and solid geometry, promotes the development of logical reasoning skills and is useful in many life situations. Beginning with the fundamental concepts of line segments and angles, students will progress to conditional statements, geometric and algebraic proofs, and line relationships. In studying polygons, students will learn the properties of triangles, quadrilaterals, and circles along with geometrical concepts including the Pythagorean Theorem and the relationship of pi (π) to circumference and area in a circle. In the study of solid geometry, students will learn how to determine area and volume for prisms, cylinders, pyramids, cones, and spheres. Students will apply learned geometric skills in working with ratios, similarities, transformations, and symmetry before concluding the course with an inquiry into the fundamentals of trigonometry.

### Precalculus Course

(Full Year Course) Precalculus explores a wide variety of mathematical concepts with the goal of preparing students for calculus or other college-level math courses. A review of number properties, factoring, the quadratic formula, and the Cartesian coordinate system will prepare students for advanced math concepts. Students will use graphing calculators to plot graphs and solve equations. Students will learn to solve a variety of problems including parent functions, transformations, even and odd functions, domain and range, operations, linear functions, regression, correlation, quadratic functions, polynomials, asymptotes, and exponential, logistic, and logarithmic functions. Trigonometric studies include angle measurement, arc length, functions, reciprocal and quotient identities, Pythagorean identities, sines, and cosines. Sequences and series precede inquiries into the characteristics and applications of conic sections and vectors. The course concludes with an investigation into parametric equations and polar equations.

### High School Math Diagnostic (Digital Only)

(Full Year Course) The Math Diagnostic is designed for students who are entering the 9th Grade. The purpose of the Diagnostic is to assess if the student is ready for high school material as well as to provide remediation for areas as needed. The Diagnostic consists of several math categories. In each category, there is a pretest, remediation, and posttest. If students pass the pretest, they will immediately go on to the next category pretest. If students do not pass the pretest, they will complete the remediation coursework. Once remediation has been completed, students will take a posttest. If the posttest is passed, they will go on to the next category of pretest.

### Algebra I STAAR® Study Guide (Texas Standards)

(Full Year Course) In the Algebra I STAAR® Study Guide, students review all content TEKS in the STAAR®-tested reporting categories. The Study Guide also includes three STAAR®-like practice tests. The tests are the same length as the STAAR® test with the corresponding number of questions for each category. When scoring the tests, each question is associated with a category. Students and teachers can determine if they are struggling or excelling in certain categories and redo the questions in the Study Guide for a particular category.

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