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The A+LS Mathematics curriculum is a comprehensive, completely integrated curriculum for grade levels 1-12. A sequence of 18 titles provides an extensive, integrated solution that is fully correlated to major mastery standards and leading, adopted textbooks.
In addition to a complete mathematical curriculum that is appropriate at each grade level, each title contains exercises that require the student to choose operations and develop strategies to solve problems. Students learn to use common sense, mental math, estimation, and other methods to solve problems and check answers for reasonableness.
The Mathematics titles develop knowledge of mathematics skills and their use in practical situations by utilizing a four-step approach: Study, Practice, Test, and Essay modules are used to define the instructional environment. The Study module provides a text- and graphics-based delivery of material that is reinforced by pictures and diagrams supported by a wealth of content. All graphics magnify to full screen size to concisely present and reinforce these concepts. The Practice module provides the students, in a non-scored and non-graded environment, to practice skills acquired through studying. Engaging, interactive feedback prompts the student to right answers when wrong answers to questions are entered. The student has instant access to the study material for reference. In the Test module, the student takes a scored examination, the results of which are recorded in the A+LS Management System. Upon completion of the Test, the student electronically "turns in" the test and may instantly see test results and correct answers to questions missed. The Essay module allows the student to compose individual, free-form answers to a wide variety of questions and problems.
| LESSON # | LESSON TITLE | LESSON CONTENT |
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Decimal Number Concepts | Place value, exponents, powers of ten, expanded notation, scientific notation. |
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Number Operations | Commutative, associative, zero, one, and distributive properties. Inverse operations, order of operations. |
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Decimal Number Operations | Expanding skills in addition, subtraction, multiplication, and division. |
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Problem Solving 1 | Solving practical problems that deal with decimal numbers. |
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Review Test 1 | Decimals. |
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Number Theory | Inverse operations. Prime and composite numbers. Divisibility rules, factors, greatest common factor. Multiples, least common multiple. Square numbers, square roots. |
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Problem Solving 2 | Practical application of number theory in problem solving. |
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Review Test 2 | Number Theory. |
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Fraction Concepts | Simplest form, equivalent fractions. Comparing and ordering fractions. Improper fractions. Mixed numbers, relating fractions to decimals. |
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Fraction Operations | Expanding skills in addition, subtraction, multiplication, and division with fractions and mixed numbers. |
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Problem Solving 3 | Practical situations dealing with fractions in problem solving. |
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Review Test 3 | Fractions. |
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Ratio & Proportion | Ratios, equivalent ratios, cross products, rates, proportions, and solving proportions. |
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Problem Solving 4 | Problem solving with ratios, rates, proportions, scale drawings. |
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Probability | Properties of probability. Making predictions. Outcomes and permutations. |
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Review Test 4 | Ratio, Proportion, and Probability. |
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Percent Concepts | Percent, decimals, fractions, finding percents of a whole. Finding parts of a whole, finding the whole. |
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Problem Solving 5 | Problem solving with percents. Percent of increase or decrease. Discounts, markups, commissions, interest, and sales tax. |
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Review Test 5 | Percent. |
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Algebra Concepts | Numerical expressions, variables, equations, algebraic expressions, inequalities, inverse operations. |
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Expressions & Equations | Replacing variables to evaluate expressions. Steps to solving equations. |
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Problem Solving 6 | Writing equations to solve word problems. Solving multi-step equations. |
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Review Test 6 | Algebra. |
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Measurement | Measurement of length, capacity, mass/weight, and time dealing with both metric and customary units. |
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Problem Solving 7 | Problem solving applications of measurement. |
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Review Test 7 | Measurement. |
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Geometric Concepts | Definitions and examples of points, lines, planes, and angles. Bisecting lines and angles. Relationships of lines. Relationships of angles. |
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Plane Figures | Study of polygons and circles. Classifications of triangles and quadrilaterals. Calculation of perimeter, circumference and area. |
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Motion Geometry | Similar and congruent figures. Rotation, translation, and reflection. |
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Space Figures | Review and expansion of ideas about prisms, pyramids, cones, and cylinders. |
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Geometric Measurement | Length, area, volume, surface area of geometric figures. |
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Review Test 8 | Geometry. |
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Statistics | Data collection. Mean, median, mode, and range. |
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Graphing | Bar, circle, and line graphs. Stem and leaf plots, box and whisker plots. |
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Review Test 9 | Statistics and Graphing. |
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Integers | Negative and positive numbers, comparing and ordering integers. Using a number line. Absolute value. |
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Addition & Subtraction | Finding sums and differences with integers. Additional properties of integers. |
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Multiplication & Division | Finding products and quotients with integers. Using multiplication properties with integers. |
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Coordinate Graphing | Graphing ordered pairs on a coordinate axis. |
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Review Test 10 | Integer Operations and Ordered Pairs |
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Comprehensive Test |
