Math

Calculus [Credit Recovery]

$250.00
Rated 0 out of 5
Course Description Students examine the foundational components of limits, derivatives, integrals, and series and apply this knowledge to real-world situations. Derivatives are used to find slopes of lines tangent to curves at specified points. Students learn specific rules of differentiation and explore real-world applications, including related rates and optimization. Students explore the graphs of functions and their first and second derivatives to reveal the functions’ characteristics. Functions increase in complexity to include logarithmic and exponential components. Integrals are explored as various methods of finding the area under a curve are examined and applied, and each method is supported graphically. Integration is used to revolve solids about an axis. At the conclusion of the course, students learn about series, including Taylor and Maclaurin series, as well as how to prove convergence or divergence using integral and p-series tests. Course Breakdown Limits Continuity Tangents to curves Derivative rules and notation Concavity and extrema Modeling and optimization Riemann sums and areas under curves Definite and indefinite integration Differential equations Volumes of solids Parametric and polar curves Series Course Goals Calculate and analyze functions, graphs, and limits. Recognize and describe asymptotic behavior, continuity, rates of change and infinity on the coordinate plane. Calculate, interpret, and analyze derivatives including those of trigonometric, exponential, logarithmic, and inverse functions. Explore graphs of derivatives, concavity, inflection points, and extrema. Model and solve optimization problems. Evaluate antiderivatives using formulas, using substitution techniques, and by parts. Use sigma notation to represent, manipulate, and evaluate finite sums and other series including Taylor, Maclaurin, and power series. Use integration to find areas under curves and areas between curves. Calculate the volume of a solid using cross sections and washer methods. Calculate arc length of parametric curves and apply parametric equations.

General Math [Competency Based] (1st semester)

$250.00
Rated 0 out of 5
Course Description General Math motivates students while helping them establish a strong foundation for success in developmental and consumer mathematics. The course leads students through basic mathematics and its applications, focusing on whole numbers, integers, decimals, and percentages. Students make sense of the mathematics they encounter each day, including wages, banking, interest, credit, and consumer costs. At the end of this course, students have a knowledge of and appreciation for mathematics and problem-solving that prepare them for the future. Course Breakdown Whole-number operations Integer operations Decimal operations and applications Percentages Taxes Deductions Wages Accurate record keeping Course Goals Perform basic operations with all types of real numbers. Compute the average from a set of real numbers. Solve real-world problems that use real numbers. Analyze percentages in real-world scenarios. Interpret and calculate a total paycheck given different job types. Manage a bank account through accurate record keeping.

General Math [Competency Based] (2nd semester)

$250.00
Rated 0 out of 5
Course Description General Math motivates students while helping them establish a strong foundation for success in developmental and consumer mathematics. The course leads students through basic mathematics and its applications, focusing on whole numbers, integers, decimals, and percentages. Students make sense of the mathematics they encounter each day, including wages, banking, interest, credit, and consumer costs. At the end of this course, students have a knowledge of and appreciation for mathematics and problem-solving that prepare them for the future. Course Breakdown Costs of items Costs associated with renting and buying a home Costs of maintaining a home Transportation costs Traveling applications Buying, leasing, and renting vehicles Interest and credit Course Goals Analyze and calculate the subtotal of a bill from a shopping trip. Interpret the costs associated with a mortgage. Calculate the different utility bills for a house. Interpret the different parts of a map. Calculate the cost of planning a trip using various transportation methods. Apply different methods of finding costs related to purchasing and operating new and used cars. Gain an understanding of how interest affects different credit accounts.

General Math [Credit Recovery]

$250.00
Rated 0 out of 5
Course Description General Math motivates students while helping them establish a strong foundation for success in developmental and consumer mathematics. The course leads students through basic mathematics and its applications, focusing on whole numbers, integers, decimals, and percentages. Students make sense of the mathematics they encounter each day, including wages, banking, interest, credit, and consumer costs. At the end of this course, students have a knowledge of and appreciation for mathematics and problem-solving that prepare them for the future. Course Breakdown Operations with real numbers Applications with integers Scientific notation Percents and decimals Map scale Earnings and taxes Checking account basics Simple and compound interest Payments and loans Costs of rent and mortgages Cost of utilities Cost of home improvements Course Goals Analyze percentages in real-world scenarios. Apply different methods of finding costs related to purchasing and operating new and used cars. Interpret the different parts of a map. Calculate the cost of planning a trip using various transportation methods. Interpret and calculate a total paycheck, given different job types. Manage a bank account through accurate record keeping. Gain an understanding of how interest affects different credit accounts. Analyze and calculate the subtotal of a bill from a shopping trip. Interpret the costs associated with a mortgage. Calculate the different utility bills for a house.

Geometry [Competency Based] (1st semester)

$250.00
Rated 0 out of 5
Course Description What are the different ways a figure can be transformed? What is the difference between similarity and congruence? In Geometry, students formulate mathematical arguments and create geometric constructions. Working with triangle construction to prove theorems, students employ their reasoning abilities to show similarity and congruence, and use trigonometric ratios to find missing measures in triangles. Solving problems concerning three-dimensional figures gives students the opportunity to examine formulas. Students apply their knowledge of geometric shapes by using measures and properties to describe real-life objects, and connect algebra to geometry by graphing figures on the coordinate plane. Students then move to circles, exploring their properties and theorems. Next is the study of probability, in which students interpret data by using independence and conditional probability, and apply the rules of probability to determine compound events and evaluate outcomes of decisions. Course Breakdown Points, lines, and planes Classifying angles and polygons Discovering pi Mathematical modeling Laws of detachment and syllogism Planning and writing proofs Adjacent, complementary, and supplementary angles Slope and intercept of a line Parallel lines cut by a transversal Congruent segments Parallel and perpendicular line construction Inscribed shapes inside triangles and circles SSS, SAS, and ASA postulates Triangle congruency Ratios and proportions AA, SSS, and SAS similarity tests Course Goals Apply geometric properties and relationships through inductive and deductive reasoning. Explain the building blocks of geometry including using definitions and coordinate geometry. Apply the properties of parallel and perpendicular lines. Perform geometric constructions. Solve problems using the properties of triangles. Prove geometric properties and relationships about parallelograms and quadrilaterals by solving problems and using deductive reasoning. Prove geometric properties about congruent triangles by solving problems and using deductive reasoning. Identify and use the properties of similar polygons and triangles.

Geometry [Competency Based] (2nd semester)

$250.00
Rated 0 out of 5
Course Description What are the different ways a figure can be transformed? What is the difference between similarity and congruence? In Geometry, students formulate mathematical arguments and create geometric constructions. Working with triangle construction to prove theorems, students employ their reasoning abilities to show similarity and congruence, and use trigonometric ratios to find missing measures in triangles. Solving problems concerning three-dimensional figures gives students the opportunity to examine formulas. Students apply their knowledge of geometric shapes by using measures and properties to describe real-life objects, and connect algebra to geometry by graphing figures on the coordinate plane. Students then move to circles, exploring their properties and theorems. Next is the study of probability, in which students interpret data by using independence and conditional probability, and apply the rules of probability to determine compound events and evaluate outcomes of decisions. Course Breakdown Ratio and scale drawings Transformations on the coordinate plane Dilation and similarity Pythagorean Theorem Laws of sines and cosines Characteristics of circles Secants and tangents Equations and graphs of circles Area and perimeter of complex figures Design problems Three-dimensional figures Surface area and volume Course Goals Identify and apply the properties of similar polygons and triangles by solving problems with deductive reasoning. Model the properties of dilations and transformations in a variety of problems. Explore the properties of ratios. Apply the properties of right triangles. Identify and apply the properties of circles to a variety of problems. Model the properties of circles in a variety of problems. Apply area formulas for two- and three-dimensional figures. Reveal key information in a problem using the volume formulas for three-dimensional figures.

Geometry [Credit Recovery]

$250.00
Rated 0 out of 5
Course Description What are the different ways a figure can be transformed? What is the difference between similarity and congruence? In Geometry, students formulate mathematical arguments and create geometric constructions. Working with triangle construction to prove theorems, students employ their reasoning abilities to show similarity and congruence, and use trigonometric ratios to find missing measures in triangles. Solving problems concerning three-dimensional figures gives students the opportunity to examine formulas. Students apply their knowledge of geometric shapes by using measures and properties to describe real-life objects, and connect algebra to geometry by graphing figures on the coordinate plane. Students then move to circles, exploring their properties and theorems. Next is the study of probability, in which students interpret data by using independence and conditional probability, and apply the rules of probability to determine compound events and evaluate outcomes of decisions. Course Breakdown Triangle postulates Triangle theorems Polygon classification Parallelograms Area and perimeter Geometric probability Right triangle ratios Angles of elevation and depression Special triangles Laws of sines and cosines Parts of circles Surface area and volume Polyhedrons Course Goals Explain the building blocks of geometry including using definitions and coordinate geometry. Apply the properties of parallel and perpendicular lines. Perform geometric constructions. Identify and apply the properties of circles to a variety of problems. Solve problems using the properties of triangles. Identify and apply properties of probability to a variety of problems. Identify and apply the properties of similar polygons and triangles. Apply area formulas for two- and three-dimensional figures. Reveal key information in a problem using the volume formulas for three-dimensional figures. Apply trigonometric functions to solve a variety of problems.

Geometry [Honors] (1st semester)

$250.00
Rated 0 out of 5
Course Description Geometry [Honors] gives students a strong foundation in the subject as they formulate mathematical arguments and create geometric constructions. The course begins with a study of points, lines, planes, segments, and angles. Students practice an essential geometric skill: constructing and analyzing a variety of proofs. An in-depth coverage of triangles begins as students explore congruent triangles; special parts including bisectors, medians, and altitudes; and triangle theorems. Students then explore more shapes and calculate area, perimeter, and midsegments. Similarity is covered next, as students work with similarity tests for triangles, ratios, and scale drawings. Students explore geometry on the coordinate plane as they perform transformations and create tessellations. Trigonometric ratios and the laws of sines and cosines are used to solve problems. An in-depth study of circles follows, including sectors, inscribed angles, special arcs, and tangents. Students extend their knowledge to conic sections and three-dimensional figures as they work with surface area, volume, density based modeling, and design problems. Course Breakdown Types of lines Classifying triangles Patterns and conjectures Geometric and algebraic proofs Truth tables Angles formed by a transversal Parallel and perpendicular line construction Inscribed shapes inside triangles and circles SSS, SAS, and ASA postulates Triangle congruency Similarity tests Course Goals Apply geometric properties and relationships through inductive and deductive reasoning. Explain the building blocks of geometry, including using definitions and coordinate geometry. Apply the properties of parallel and perpendicular lines. Perform geometric constructions. Solve problems using the properties of triangles. Prove geometric properties and relationships about parallelograms and quadrilaterals by solving problems and using deductive reasoning. Identify and use the properties of similar polygons and triangles.

Geometry [Honors] (2nd semester)

$250.00
Rated 0 out of 5
Course Description Geometry [Honors] gives students a strong foundation in the subject as they formulate mathematical arguments and create geometric constructions. The course begins with a study of points, lines, planes, segments, and angles. Students practice an essential geometric skill: constructing and analyzing a variety of proofs. An in-depth coverage of triangles begins as students explore congruent triangles; special parts including bisectors, medians, and altitudes; and triangle theorems. Students then explore more shapes and calculate area, perimeter, and midsegments. Similarity is covered next, as students work with similarity tests for triangles, ratios, and scale drawings. Students explore geometry on the coordinate plane as they perform transformations and create tessellations. Trigonometric ratios and the laws of sines and cosines are used to solve problems. An in-depth study of circles follows, including sectors, inscribed angles, special arcs, and tangents. Students extend their knowledge to conic sections and three-dimensional figures as they work with surface area, volume, density based modeling, and design problems. Course Breakdown Ratio and scale drawings Transformations on the coordinate plane Dilation and similarity Pythagorean Theorem Laws of sines and cosines Characteristics of circles Graphs of circles Tangent, arc, and angle theorems Conic sections Area and perimeter of complex figures Design problems Surface area and volume Density-based modeling Course Goals Use ratio and scale to model and solve problems. Perform multiple transformations to a geometric figure. Apply the properties of right triangles. Identify and apply the properties of circles to a variety of problems. Model the properties of circles in a variety of problems. Apply area formulas for twoand three-dimensional figures. Reveal key information in a problem using the volume formulas for three-dimensional figures.

Mathematics 6th Grade (1st semester)

$250.00
Rated 0 out of 5
Course Description Students learn how to find the prime factors of composite numbers, then apply this ability to work with fractions. They use ratios and rates in a number of applications: converting between English and metric measurements, determining unit rates, and finding unit prices. To build a foundation for learning algebra, students study the properties of addition and multiplication and the order of operations. Students then apply these concepts as they write, evaluate, and factor algebraic expressions. After they learn to solve single-variable one- and two-step equations and inequalities, students extend their knowledge by graphing the solutions on number lines and the coordinate plane. The exploration of two dimensions continues as students work with plane polygons, classify shapes, and solve for shapes’ perimeters and areas. Students learn to transform two-dimensional figures by translating, rotating, and reflecting both figures and graphs of equations, then move on to solid figures. Finally, students delve into statistics as they identify, interpret, and construct various data; solve for and interpret measures of center including mean, median, and mode; and use those measures to analyze data and construct appropriate data displays, which they can apply to a wide range of situations in other subject areas. Course Breakdown Ordering whole numbers and opposites Ordering fractions and decimals Divisibility rules Prime and composite numbers Prime factorization GCF and LCM Squares, cubes, and their roots Absolute value Reducing fractions Multiplying and dividing fractions Improper fractions and mixed numbers Units of length and capacity Converting metric and English units Add, subtract, multiply, and divide decimals Long division Ratios, rates, and unit rates Percentages, decimals, and fractions Percentage of a number Percentage change Number properties Order of operations Variables and expressions Solving and writing equations Course Goals Demonstrate the ability to order numbers. Convert between English and metric units. Perform operations on fractions. Identify equivalent mixed numbers and improper fractions. Perform operations on decimal expressions. Convert between percentages, decimals, and fractions. Write and solve linear equations. Apply rates to real-world scenarios.

Mathematics 6th Grade (2nd semester)

$250.00
Rated 0 out of 5
Course Description Students learn how to find the prime factors of composite numbers, then apply this ability to work with fractions. They use ratios and rates in a number of applications: converting between English and metric measurements, determining unit rates, and finding unit prices. To build a foundation for learning algebra, students study the properties of addition and multiplication and the order of operations. Students then apply these concepts as they write, evaluate, and factor algebraic expressions. After they learn to solve single-variable one- and two-step equations and inequalities, students extend their knowledge by graphing the solutions on number lines and the coordinate plane. The exploration of two dimensions continues as students work with plane polygons, classify shapes, and solve for shapes’ perimeters and areas. Students learn to transform two-dimensional figures by translating, rotating, and reflecting both figures and graphs of equations, then move on to solid figures. Finally, students delve into statistics as they identify, interpret, and construct various data; solve for and interpret measures of center including mean, median, and mode; and use those measures to analyze data and construct appropriate data displays, which they can apply to a wide range of situations in other subject areas. Course Breakdown Proportions Linear equations Linear inequalities Compound inequalities Coordinate plane Tables and graphs Graphing linear equations Perimeter and area Quadrilaterals and triangles Polygons and complex figures Areas of figures on the coordinate plane Translations, reflections, and rotations Solid figures and nets Surface area and volume Data collection Data displays Data distributions Mean, median, and mode Range and measures of center Five-number summary Analyzing, applying, and interpreting data Course Goals Simplify and graph compound inequalities. Model linear equations with graphs. Identify the perimeters and areas of geometric shapes. Perform transformations on figures in the coordinate plane. Calculate the surface areas and volumes of three-dimensional figures. Create statistical models of data. Analyze and interpret graphs to learn key information. Identify important statistical components of data sets.

Mathematics 6th Grade [Credit Recovery]

$250.00
Rated 0 out of 5
Course Description Students learn how to find the prime factors of composite numbers, then apply this ability to work with fractions. They use ratios and rates in a number of applications: converting between English and metric measurements, determining unit rates, and finding unit prices. To build a foundation for learning algebra, students study the properties of addition and multiplication and the order of operations. Students then apply these concepts as they write, evaluate, and factor algebraic expressions. After they learn to solve single-variable one- and two-step equations and inequalities, students extend their knowledge by graphing the solutions on number lines and the coordinate plane. The exploration of two dimensions continues as students work with plane polygons, classify shapes, and solve for shapes’ perimeters and areas. Students learn to transform two-dimensional figures by translating, rotating, and reflecting both figures and graphs of equations, then move on to solid figures. Finally, students delve into statistics as they identify, interpret, and construct various data; solve for and interpret measures of center including mean, median, and mode; and use those measures to analyze data and construct appropriate data displays, which they can apply to a wide range of situations in other subject areas. Course Breakdown Properties of numbers Relationships between numbers Fractions Converting between English and metric units Decimals and percentages Ratios and rates Algebraic properties Algebraic expressions Equations Inequalities Graphing on a coordinate plane Areas and perimeters of 2-D figures Surface areas and volumes of 3-D figures Interpreting, displaying, and evaluating data Central tendency Course Goals Identify the GCF and LCM of a set of numbers. Simplify expressions involving fractions and decimals. Convert between English and metric units. Identify the percent change between two values. Create equivalent fractions, decimals, and percentages. Translate and solve multistep equations by various means. Solve and graph inequalities. Create a table of solution points in order to graph linear equations. Identify the areas and perimeters of two-dimensional figures. Identify the volumes and surface areas of three-dimensional figures. Identify important statistical components of data sets.

Mathematics 7th Grade (1st semester)

$250.00
Rated 0 out of 5
Course Description Mathematics 7th Grade teaches skills essential to adult life and lays the groundwork for future mathematics courses. Students learn to apply their work with rational numbers and integers to everyday situations. Students convert words to expressions and vice versa, using equations and inequalities as problem-solving tools. They compute tax, percentage of error, commission, and interest by using rates, ratios, and proportions; graph ordered pairs; and graph and write linear equations. Their work with simple figures – triangles, angles, circles, quadrilaterals, and polygons – focuses on finding areas and perimeters. Students then move on to scale drawings and composite figures composed of simple figures, and compute the volumes and surface areas of solids, including prisms, cylinders, pyramids, cones, and spheres. Students collect data and use graphs, charts, and diagrams to read, interpret, and display the data. They also learn how graphs can be misleading. Students apply the study of sampling and populations to applications involving probability, likely and unlikely outcomes, permutations, combinations, and compound events. Students then represent these concepts by using Venn diagrams and charts, tools they will encounter in other courses. Course Breakdown Integers Fractions Rational numbers Operations with rational numbers Properties of addition Properties of multiplication Order of operations Squares and square roots Algebraic powers and exponents Rules of exponents Rewriting and simplifying algebraic expressions Solving one-step equations Solving two-step equations Solving inequalities by using addition, subtraction, multiplication, and division Graphing linear inequalities Ratios, rates, and proportions Percentage change Percentage error Sales tax and commission Simple interest Relations and functions Graphing ordered pairs Graphing linear equations Slope Slope-intercept form Writing linear equations Course Goals Convert between percentages, decimals, and fractions. Simplify expressions involving fractions. Utilize the laws of exponents to simplify algebraic expressions. Identify and combine like terms in an expression. Translate statements into algebraic expressions. Solve various types of one-variable equations. Construct and solve inequalities to represent real-world problems. Identify the slopes and y-intercepts of equations in order to graph them.

Mathematics 7th Grade (2nd semester)

$250.00
Rated 0 out of 5
Course Description Mathematics 7th Grade teaches skills essential to adult life and lays the groundwork for future mathematics courses. Students learn to apply their work with rational numbers and integers to everyday situations. Students convert words to expressions and vice versa, using equations and inequalities as problem-solving tools. They compute tax, percentage of error, commission, and interest by using rates, ratios, and proportions; graph ordered pairs; and graph and write linear equations. Their work with simple figures – triangles, angles, circles, quadrilaterals, and polygons – focuses on finding areas and perimeters. Students then move on to scale drawings and composite figures composed of simple figures, and compute the volumes and surface areas of solids, including prisms, cylinders, pyramids, cones, and spheres. Students collect data and use graphs, charts, and diagrams to read, interpret, and display the data. They also learn how graphs can be misleading. Students apply the study of sampling and populations to applications involving probability, likely and unlikely outcomes, permutations, combinations, and compound events. Students then represent these concepts by using Venn diagrams and charts, tools they will encounter in other courses. Course Breakdown Rate of change Direct variation Proportionality and equations Measuring angles Types of angles Line and angle relationships Congruent figures Similar figures Scale drawings Indirect measurement Classifying triangles Areas of triangles Similar triangles Congruent triangles Circles Area and circumference of a circle Quadrilaterals Polygons Composite figures Surface areas of prisms and cylinders Surface areas of pyramids and cones Volumes of prisms, cylinders, pyramids, and cones Spheres Similar solids Line of best fit Central tendency Variation Stem-and-leaf plots Histograms Box-and-whisker plots Populations and samples Sampling methods Probability Permutations and combinations Compound events Venn diagrams Independent and dependent events Course Goals Identify types of angles and their measures. Determine whether two figures are similar by creating proportions. Construct proportions to find the measures of figures drawn to scale. Calculate the areas and circumferences of circles. Calculate the surface areas and volumes of three-dimensional figures. Create various types of statistical graphs to model sets of data. Determine the probabilities of multiple events. Interpret charts to determine probabilities.

Mathematics 7th Grade [Credit Recovery]

$250.00
Rated 0 out of 5
Course Description Mathematics 7th Grade teaches skills essential to adult life and lays the groundwork for future mathematics courses. Students learn to apply their work with rational numbers and integers to everyday situations. Students convert words to expressions and vice versa, using equations and inequalities as problem-solving tools. They compute tax, percentage of error, commission, and interest by using rates, ratios, and proportions; graph ordered pairs; and graph and write linear equations. Their work with simple figures – triangles, angles, circles, quadrilaterals, and polygons – focuses on finding areas and perimeters. Students then move on to scale drawings and composite figures composed of simple figures, and compute the volumes and surface areas of solids, including prisms, cylinders, pyramids, cones, and spheres. Students collect data and use graphs, charts, and diagrams to read, interpret, and display the data. They also learn how graphs can be misleading. Students apply the study of sampling and populations to applications involving probability, likely and unlikely outcomes, permutations, combinations, and compound events. Students then represent these concepts by using Venn diagrams and charts, tools they will encounter in other courses. Course Breakdown GCF and LCM Fractions, decimals, and percentages Ratios and rates Algebraic operations of equality Evaluating and simplifying expressions Direct variation Similar figures Triangles Quadrilaterals and polygons Central tendency Surface area and volume Displaying data Probability Course Goals Create equivalent fractions, decimals, and percentages. Simplify expressions by utilizing rules of exponents. Solve equations by various means. Solve and graph inequalities. Graph equations by identifying their slopes and y-intercepts. Identify missing side lengths and the scale factor of similar figures. Solve for the missing angle measure of a triangle. Identify the areas of various types of quadrilaterals. Construct various types of data plots for sets of data. Determine the probabilities of multiple events.

Mathematics 8th Grade (1st semester)

$250.00
Rated 0 out of 5
Course Description Mathematics 8th Grade helps students to see the power of mathematics in everyday life. The course begins with a review of percentages and proportions, applying these concepts to conversion factors and emphasizing English and metric measurements. Work with linear equations includes computing rates of change, finding intercepts, graphing linear functions, and describing the action of a line. Number patterns and sequences foster a study of arithmetic and geometric means as students learn to find missing terms in sequences. An investigation of the Cartesian plane teaches students how to work with scale drawings, dilations, and graphs. Students learn about the properties of triangles, the Pythagorean Theorem, and the properties of parallel lines cut by a transversal. With pie charts, bar graphs, histograms, scatter plots, and other linear models, students explore probability and make predictions and correlations. Students apply the concepts of independent and dependent events, odds, combinations, permutations, and factorials to situations ranging from playing cards to determining the number of different outfits they have in their closets. Course Breakdown Exponents Scientific notation Operations with fractions Rational numbers Proportions Radicals Percentages Unit conversions Solving equations that represent a line Perimeter and area Volume and surface area Scale factor The coordinate plane and graphing Course Goals Apply basic exponent properties to simplify expressions. Simplify rational expressions involving addition, subtraction, multiplication, or division. Simplify radical expressions. Convert between English and metric units. Construct and evaluate direct variation equations. Identify the areas and perimeters of two-dimensional figures. Calculate the volumes and surface areas of three-dimensional figures. Determine the dimensions of a figure, given a scale factor