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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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Number Values | Place value through billions. Decimal place value through thousandths. Word form. Standard form. Expanded form. |
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Number Sense 1 | Rounding numbers. Number Ranges. Estimation. |
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Number Operations | Order of operations. Exponents and powers of numbers. |
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Number Sense 2 | Square numbers and square roots. |
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Review Test 1 | Place value, comparison, and number operations. |
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Review Test 2 | Squares and Square Roots |
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Problem Solving 1 | Five step thinking plan. Strategies solving problems. |
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Problem Solving 2 | Review of 5 step plan. Selecting relevant information. Working with misleading or unnecessary data. Finding strategy in patterns. Choosing strategy to solve problems. |
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Multiplication 1 | Estimating products, Commutative, zero, associative, and one properties. |
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Multiplication 2 | Multiplying decimals. Zeros in multiplication. |
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Division | Estimating quotients. Multiplying and dividing by powers of ten. Dividing by one-digit numbers. Dividing by two-digit numbers. Dividing decimals. |
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Review Test 3 | Multiplication and division. |
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Number Sense 3 | Factors. Divisibility. Prime numbers. Composite numbers. Factor trees. Prime factorization. Greatest common factors. Multiples. Least common multiples. |
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Fractions 1 | Equivalent fractions. Comparing fractions. Simplest form. Relating fractions to decimals. |
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Fractions 2 | Estimating sums and differences. Adding and subtracting like fractions. Adding and subtracting unlike fractions. Adding and subtracting mixed numbers. |
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Fractions 3 | Estimating products. Multiplying fractions and mixed numbers. Simplifying. Dividing fractions and mixed numbers. |
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Review Test 4 | Fractions and fraction operations. |
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Organizing Data | Collecting data. Tallies, frequency tables. Mean, median, mode, and range. |
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Graphing Data | Bar graphs. Pictographs, histograms, circle graphs, and stem and leaf plots. Analyzing graphed information. |
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Variables & Equations | Identifying variables. Numerical expressions. Algebraic expressions. Addition and subtraction equations. Multiplication and division equations. |
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Equations & Inequalities | Rational numbers in equations. Solving equations. Solving Inequalities. |
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Review Test 5 | Algebraic concepts. |
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Metric Measures | Metric place value. Comparing metric units. Length units. Capacity units. Mass units. |
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Customary Measures | Length units. Capacity units, weight units. |
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Other Measures | Time and temperature. |
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Review Test 6 | Measurement. |
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Plane Geometry | Points, lines, rays. Angles. Parallel, intersecting, perpendicular, and skew lines. Bisecting lines. |
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Polygons | Triangle classifications. Quadrilateral classifications. Other polygons. Congruence. Similar figures. Symmetry. Motion geometry. |
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Circles | Parts of a circle. Pi. Formulas. |
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Space Figures | Prisms. Pyramids. Faces, edges, and vertices. Bases. |
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Geometric Measurement | Perimeter. Circumference. Area. Surface Area. Volume. |
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Review Test 7 | Geometry and measurements. |
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Ratio & Proportion | Ratio. Proportion. Solving proportions. Rates. Using scales. |
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Percent | Percents and decimals. Percents and fractions. Estimation. Finding percents of whole numbers. |
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Probability | Outcomes. Predicting outcomes. Identifying independent events. |
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Integers | Positive integers. Negative integers. Zero. Comparing integers. Adding and subtracting integers. |
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Coordinate Graphing | Ordered pairs. Coordinate planes. X-axis. Y-axis. |
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Review Test 8 | Ratio, Proportion, Percent, Probability, Integers, Ordered Pairs |
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Comprehensive Test |
