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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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Whole Numbers 1 | Place value through millions. Exponents. Standard, expanded, and word forms of numbers. |
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Whole Numbers 2 | Comparing and ordering whole numbers. Rounding through millions. |
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Decimals 1 | Place value through thousandths. Zero in decimals. Writing decimals. |
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Decimals 2 | Comparing and ordering decimals. Patterns in decimals. Rounding decimals. |
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Properties of Addition | Commutative, associative, and zero properties of addition. |
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Addition & Subtraction 1 | Inverse operations. Estimating sums. |
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Addition & Subtraction 2 | Addition and subtraction across zeros. Regrouping with zeros. |
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Addition & Subtraction 3 | Addition and subtraction of decimals. Clustering. |
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Review Test 1 | Review test of whole number place values, addition, and subtraction. |
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Review Test 2 | Review test of decimals, addition, and subtraction. |
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Problem Solving 1 | The five step thinking plan. Using inverse operations. |
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Organizing Data 1 | Using tables to organize, analyze, and solve problems. |
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Problem Solving 2 | Multi-step problems. Using the five step thinking plan. |
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Multiplication 1 | Commutative, associative, zero, one, and distributive multiplication properties. Mental math techniques. Estimating. |
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Multiplication 2 | Multiplication by two and three digit numbers. Multiplication problems with missing factors. |
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Multiplication 3 | Estimation. Mental math. Decimal multiplication. Zero in decimals. |
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Division 1 | Dividing whole numbers by one and two digit numbers. Estimating quotients. |
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Division 2 | Short division. Dividing larger numbers. Using zeros in division. Identifying patterns. Checking division. |
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Division 3 | Dividing decimals. Estimation and mental math. |
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Review Test 3 | Multiplication and division. |
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Organizing Data 2 | Surveys. Sample groups. Range, mode, mean, median. |
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Bar Graphs & Pictographs | Parts of a bar graph. Selecting a scale. Displaying data on bar graph. Displaying data on pictograph. Reading data. Analyzing data. Making inferences. |
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Line Graphs | Uses of line graphs. Parts of line graphs. Displaying data. |
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Circle Graphs | Circle graphs. Venn diagrams. Analyzing data. |
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Ordered Pairs | Ordered pairs. Graphing on a grid. |
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Fractions 1 | Fraction parts. Equivalent fractions. Prime numbers. Composite numbers. Greatest common factors. Simplest form. Least common multiples. |
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Fractions 2 | Comparing fractions. Reducing fractions. Improper fractions. Mixed numbers. |
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Fractions 3 | Estimation. Adding and subtracting like fractions. Adding and subtracting unlike fractions. Adding and subtracting mixed numbers. |
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Fractions 4 | Multiplying fractions and mixed numbers. |
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Review Test 4 | Fractions. |
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Metric Measurement | Units of length. Units of capacity. Units of mass. Changing metric units. |
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Customary Measurement | Units of length. Units of capacity. Units of weight. |
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Time Measurement | Time. Elapsed time. Schedules. |
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Review Test 5 | Measurement. |
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Lines & Angles | Point, line, line segment, ray, angle, plane. Intersecting lines. Parallel lines. Perpendicular lines. Acute, obtuse, and right angles. Angle measurement. |
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Polygons | Plane figures. Triangles. Classifying by sides. Classifying by angles. Quadrilaterals. Classifying quadrilaterals. Symmetry. Congruent figures. Similar figures. |
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Circles | Circles. Circle parts. Circumference, diameter, radius, chord. Compass. Relationships of parts. Pi. |
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Space Figures | Faces, vertices, edges. Prisms. Pyramids. Cones. Cylinders. Spheres. |
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Geometric Measurement | Perimeter. Circumference. Area of rectangles, triangles, parallelograms, circles. Area of irregular shapes. Volume of space figures. |
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Review Test 6 | Geometry and Measurement. |
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Ratios | Meaning of ratio. Equivalent ratios. Use of ratio in scale drawings. |
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Percent | Ratio. Percent of decimals. Finding percent of a numbers. |
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Probability | Definition and examples of probability. Prediction of outcomes. Fractions and probability. |
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Comprehensive Test | Level 5 Mathematics |
