Mathematics

Mathematics

ALS Mathematics are comprehensive, completely integrated courses for grades 1–12. The Mathematics courses develop strategies to solve real-world problems and are designed to move the student beyond the level of basic knowledge into critical thinking and learning activities.

• Mathematics is a collection of one- and two- semester long courses

• All lessons in the math titles contain a study guide, a practice test, and a mastery test. Many lessons have an essay or other constructed response

• Some Mathematics lessons are certified by MetaMetrics® with Lexile® scores

• The content in these titles is designed to meet and exceed the requirements of the National Council of Teachers in Mathematics. The standards for school mathematics describe a comprehensive set of goals for mathematics instruction

• Students will understand meanings of operations and how they relate to one another

• Students will understand numbers, ways of representing numbers, relationships among numbers, and number systems

• Students will compute fluently and make reasonable estimates. In addition, students will build new mathematical knowledge through problem solving

 

1st GRADE MATHEMATICS:

Mathematics I is an introduction to mathematical concepts. The lessons cover numbers and counting, ordering numbers, ordinal numbers, addition readiness, vertical addition, subtraction readiness, number sense, vertical subtraction, fact families, word problems, addition sentences, subtraction sentences, identifying the operation needed to solve a problem, reading and creating graphs, identifying and counting coins, measuring length, weight, and temperature, telling time, three-dimensional figures, symmetry, and fractions. 49 lessons, 2 semesters. **Fast-Track available

 

2nd GRADE MATHEMATICS:

Mathematics II strengthens mathematical skills in the following areas: numbers and counting, odds and evens, money and money strategy, graphing, addition and subtraction, using a calculator, measurement, telling time, solving story problems, fractions, and estimating. It also introduces students to measuring perimeter, congruent and symmetrical objects, probability, problem-solving strategies, logic, ordered pairs, multiplication, and division. The lessons also review reading time on digital or analog clocks. 42 lessons, 2 semesters. **Fast-Track available

 

3rd GRADE MATHEMATICS:

Mathematics III covers the following topics: addition and subtraction with regrouping, counting bills and coins, using a number line, using mental math, measuring length with standard and nonstandard measurements, using bar graphs, using a calculator, finding mean, median, mode and range, estimating and measuring capacity, time, and weight, reading temperatures in Celsius and Fahrenheit, multiplying three numbers, measuring area, dividing by tens and hundreds, adding and subtracting fractions, solving problems using pictographs, decimals, probability, plane figures, ordered pairs, identifying faces, edges, and corners, and using logical reasoning. 50 lessons, 2 semesters. **Fast-Track available

4th GRADE MATHEMATICS:

Mathematics IV contains lessons covering the five-step process for problem solving, grouping addends, addition and subtraction, odd and even numbers, multiplication and division problems using money, using a calendar, temperature, writing decimals to the tenths and hundredths positions, line segments and angles, comparing maps and grids, comparing graph types, and formulating information into a story problem. 36 lessons, 2 semesters. **Fast-Track available

 

5th GRADE MATHEMATICS:

Mathematics V covers exponents, standard, expanded, and word forms of numbers, writing decimals, adding and subtracting decimals, the properties of addition, the five-step thinking plan, multiplying two- and three-digit numbers, surveys, uses of line and circle graphs, Venn diagrams, least common multiples, units of length, elapsed time, lines and angles, circles, perimeter, circumference, pyramids, and probability. 37 lessons, 2 semesters. **Fast-Track available

 

6th GRADE MATHEMATICS:

Mathematics VI is a full year of study designed to help students develop strong mathematical knowledge and skills for 6th grade. The content is problem-centered, focused on developing procedural fluency as students investigate and respond to mathematical ideas in real-world situations. Lessons provide thorough review of basic operations, as well as scaffolded, interactive instruction to help students understand and apply standard algorithms when solving real-world problems represented within the rational number system. 30 lessons, 2 semesters. **Fast-Track available

 

7th GRADE MATHEMATICS:

Mathematics VII is a full year of study designed to help students develop strong mathematical knowledge and skills for 7th grade. The content is problem-centered, focused on developing procedural fluency as students investigate and respond to mathematical ideas in real-world situations. Lessons provide targeted review related to operational concepts, as well as scaffolded, interactive instruction to help students think critically and creatively as they apply these concepts to a variety of real-world problems represented within the rational number system. 30 lessons, 2 semesters. **Fast-Track available

 

PRE-ALGEBRA 1A:

Pre-Algebra IA is a full semester course designed to help students bridge the gap from elementary studies into the more advanced and rigorous studies of high school mathematics courses. The Pre-Algebra IA content is designed to exceed the standards of Common Core Math, Grade 8, which many schools today refer to as the Pre-Algebra course. Students are provided foundational coursework in an easy-to-use interactive style, which encourages them to work problems thoroughly and check their work before moving on to the next task. 43 lessons, 1 semester. **Fast-Track available

 

PRE-ALGEBRA 1B:

Pre-Algebra IB is a full semester course designed to follow the Pre-Algebra IA course. Students will progress through lessons that lay the foundation for algebraic and geometric concepts. The Pre-Algebra IB content is designed to exceed the standards of Common Core Math, Grade 8, which many schools today refer to as the Pre-Algebra course. Students are provided foundational coursework in an easy-to-use interactive style, which encourages them to work problems thoroughly and check their work. 37 lessons, 1 semester. **Fast-Track available

 

ALGEBRA 1A:

Algebra IA is a full-semester course designed to teach students the first level of algebra studies in lesson units. Course content is designed to meet and exceed Common Core State Standards for Mathematics: High School Algebra. Algebra IA uses interactivity and real-world applications to engage students and to transition from a basic level to a deeper understanding of mathematical concepts, such as analyzing and explaining the process of solving equations and inequalities, developing function concepts, and graphing linear equations. 63 lessons, 1 semester. **Fast-Track available

 

ALGEBRA 1B:

Algebra IB is a full-semester course designed to teach students the second level of Algebra studies in lesson units. Course content is designed to meet and exceed Common Core Standards for Mathematics: High School Algebra. The course uses interactivity and real-world applications to engage students and to transition from a basic level to a deeper understanding of mathematical concepts, such as transforming graphs of exponential functions, factoring polynomials, transforming and graphing quadratic and square-root functions, and collecting and analyzing data sets to make predictions. 54 lessons, 1 semester. **Fast-Track available

 

ALGEBRA 1, A FUNCTION APPROACH, PART 1:

This course is designed to provide varied approaches to solving real-world application problems. The curriculum focuses on identifying functional relationships including determining dependence, identifying and analyzing rate of change, making predictions from data, and using data to generalize and develop equations to predict trends. The primary focus is on developing linear functions and solving linear equations, linear inequalities, and linear systems. Developing quadratic functions and solving quadratic equations are covered to a lesser extent, and exponential functions are introduced. 37 lessons, 1 semester. **Fast-Track available

 

ALGEBRA 1, A FUNCTION APPROACH, PART 2:

Algebra I: A Function Approach, Part 2 is a continuation of Algebra I: A Function Approach, Part 1. Part 2 provides students with more approaches to the real-world application of algebra. The continued focus of this course is on functional relationships and the various uses of a rate of change. This course moves on to writing and solving equations, linear models in two variables, linear inequalities, systems of equations and inequalities. Polynomials, their applications, and the factoring of polynomials are examined. Quadratics, their roots, factors, zeros, and solutions are introduced, followed by the quadratic formula, laws of exponents, exponential functions, and functions of inverse variation. 37 lessons, 1 semester. **Fast-Track available

GEOMETRY 1A:

Geometry IA is a full semester course designed to teach students the first level of Geometry studies with lessons that are based on the Common Core State Standards for Mathematics. All lessons have been designed to help students understand key concepts by applying real-world knowledge. Topics covered in Geometry IA begin with the basic geometric concepts of points, lines, planes, segments, and angles, then progress into increasingly complex studies that include formulas, proofs, theorems, congruence theorems, ratios and proportions, and polygons. 45 lessons, 1 semester. **Fast-Track available

 

GEOMETRY 1B:

Geometry IB is a full semester course designed as the follow-up course to Geometry IA, which is based on the Common Core Standards for Mathematics. All lessons have been designed to help students understand key concepts by applying real-world knowledge. Geometry IB continues to expand student knowledge of theorems, formulas, and proofs. The course then expands to include more complex topics such as sine and cosine, special geometric shapes, geometric measurements, and multi-dimensional figures and their translations. 46 lessons, 1 semester. **Fast-Track available

 

ALGEBRA 2, PART 1:

Topic areas of Algebra II: Part 1 include review of the real number system including rational numbers, rules for combining and multiplying real numbers, order of operations, connecting words and numbers through expressions, developing a plan to solve a problem, combining like terms, definition and examples of ordered pairs, grids, quadrants, abscissa, defining linear equations, graphing equation systems, three-variable equations, matrix multiplication, transformation, point and matrix transformations, polynomial types, zero as an exponent, finding higher variables, factoring numerators, and solving complex rationals. 44 lessons, 1 semester. **Fast-Track available

ALGEBRA 2, PART 2:

Continuing coursework from the Algebra II: Part 1, this title covers the review of square roots, radicals, complex pure and imaginary numbers, solving and factoring, identifying and evaluating the discriminant of a quadratic equation, rewriting equations, solving problems with number lines, graphing parabola, circle parts and formulas, hyperbola, graphing quadratic relations and inequalities, inverse functions, compound interest problems, sequences of numbers, identification of sigma, examples and definition of common ratios, finite series, and solving factorial problems. 33 lessons, 1 semester. **Fast-Track available

 

TRIGONOMETRY:

Trigonometry covers angles, angle terminology, reference angles, definition of sine, cosine, and tangent, definition and value of secant, cosecant, and cotangent, calculating sides of right triangles, using trigonometry to solve real world problems, the Law of Sines and Cosines, symmetry identities, verifying trigonometric identities, sum and difference for sine, cosine, and tangent, using cofunction identities, graphing trigonometry functions, principal values, arc length, area of circular sectors, simple harmonic motion, and frequency. 29 lessons, 1 semester. **Fast-Track available

 

CALCULUS 1:

Calculus I covers calculating x-values and corresponding values, limits, notation, continuous functions, asymptotes, negative and positive infinities, graphing tangents, secants, and cosecants, derivatives, Leibniz notation, constant functions and derivatives, functions that are products, the derivative as a reciprocal of sine, acceleration as a derivative of velocity, maximum and minimum values of given functions at closed intervals, using related rates to determine the volume of cones, determining graphing data, and antiderivatives with negative exponents. 30 lessons, 1 semester. **Fast-Track available

 

 CALCULUS 2:

Continuing coursework from the Calculus I title, Calculus II topic areas include notations of integrals, the fundamental theorem of calculus, indefinite integrals and antiderivatives, integration by substitution, natural logarithms, points of intersection for regions of graphs, applications of the integral including volumes of rotation about the axes, arc length, surface area and work, hydrostatic force, inverse functions including natural exponent functions, exponential and logarithmic functions of other bases, exponential growth and decay, and inverse trigonometric functions. 26 lessons, 1 semester. **Fast-Track available

 

MATH FOUNDATIONS 1A:

Math Foundations IA is designed to build foundational math skills for students–helping students progress at their optimum pace through interactive instruction and assessment spanning math skills typically found in third through fifth grade. Carefully paced, guided instruction is accompanied by interactive practice. When used in combination with Math Foundations II (addressing skills typically found in grade 6 to 8), the courses effectively remediate computational skills and conceptual understanding needed to undertake high school-level math courses with confidence. 46 lessons, 1 semester.

 

MATH FOUNDATIONS 1B:

Math Foundations IB is the second semester of Math Foundations I. It is designed to build foundational math skills for students–helping students progress at their optimum pace through interactive instruction and assessment spanning math skills typically found in third through fifth grade. Carefully paced, guided instruction is accompanied by interactive practice. When used in combination with Math Foundations II (addressing skills typically found in grade 6 to 8), the courses effectively remediate computational skills and conceptual understanding needed to undertake high school-level math courses with confidence. 68 lessons, 1 semester.

 

MATH FOUNDATIONS 2A:

Math Foundations IIA is a full semester course that guides students through foundational math skills typically found in sixth to eighth grade instruction. It is appropriate for use as remediation at the high school level, as a bridge to high school, or as middle school curriculum. This course builds computational skills and conceptual understanding needed to undertake high school-level math courses with confidence. Carefully paced, guided instruction is accompanied by interactive practice. 55 lessons, 1 semester.

 

MATH FOUNDATIONS 2B:

Math Foundations IIB is a full semester course and is the second semester of Math Foundations II. It is designed to guide students through foundational math skills typically found in sixth to eighth grade instruction. It is appropriate for use as remediation at the high school level, as a bridge to high school, or as middle school curriculum. Carefully paced, guided instruction is accompanied by interactive practice. When used in combination with Math Foundations I (addressing skills typically found in grade 3 to 5), the course effectively remediates the computational skills and conceptual understanding needed to undertake high school-level math courses with confidence. 52 lessons, 1 semester.

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