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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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Story Problems 1 | The five-step process for problem solving. |
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Number Sense 1 | Order of addends in relation to the sum. Adding zero. Students rewrite addition facts in inverse order. Grouping addends. |
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Number Sense 2 | Rounding numbers and money amounts to nearest 10, 100, and 1000. |
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Addition & Subtraction 1 | Given an addition fact, students write a related subtraction fact. Given a subtraction fact, students write a related addition fact. |
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Addition & Subtraction 2 | Addition and subtraction fact families. Students complete fact families using missing elements. Students read story problems and choose the correct operation to solve the problem. |
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Patterns | Odd and even numbers. Students recognize the relationships between numbers to determine patterns. |
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Ordinal Numbers | Cardinal and ordinal numbers. |
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Money 1 | Review counting bills and coins. Addition and subtraction problems using money. Students make change for dollar amounts up to $20 and coin change. Students are given a dollar amount to spend and choose which items they could purchase. |
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Money 2 | Multiplication and division problems using money. Locating the dollar sign and decimal points when multiplying and dividing money. |
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Measurement 1 | Estimating, determining, and measuring time to the nearest minute. Finding elapsed time. Using the appropriate time units to measure time. Writing time using AM or PM. Adding and subtracting time. |
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Measurement 2 | Using a calendar. Looking for patterns on a calendar. Learning the number of days in each month. |
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Measurement 3 | Estimating and measuring capacity, mass, and temperature, and distance. Using customary units of measurement. Standard and Metric measurements. |
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Fractions 1 | Review of fractions. Reading, writing, and renaming mixed numbers. Comparing and ordering fractions and mixed numbers. |
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Fractions 2 | Addition and subtraction of fractions and mixed numbers. Equivalent fractions. Students read story problems, choose strategies, and solve problems. |
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Decimals 1 | Students read and write decimals to tenths and hundredths positions. Relating decimals and fractions. Relating decimals and money. Writing mixed numbers as decimals. |
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Decimals 2 | Adding and subtracting decimals of the same place value. The use of zero in decimals. Writing decimals as fractions. |
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Geometry 1 | Identifying faces, edges, and corners of solid and plane figures. Comparing solid figures. Comparing plane figures. Differences in solid and plane figures. |
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Geometry 2 | Line segments and angles. Identifying right angles. Using greater than and less than with right angles. Definition and examples of intersecting lines, parallel lines, and perpendicular lines. |
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Geometry 3 | Definition and examples of congruence and symmetry. Open and closed figures. Identifying parts of angles. Identifying and continuing patterns using geometrical shapes. |
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Geometry 4 | Measuring perimeter and area of polygons. Finding the volume of solid figures. Difference in area and volume. |
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Graphs 1 | Students locate and name ordered pairs on a coordinate grid. Comparing maps and grids. Students locate points by writing ordered pairs. |
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Graphs 2 | Students gather data from visual aid and complete bar graph. Students make predictions from bar graph information. Students complete line graph. |
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Graphs 3 | Using tables and pictographs. Gathering information with a pictograph. Using pictograph information to create line and bar graphs. Comparing graph types. Students decide what type graph to use. |
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Probability | Definition and examples of probability. Identifying possible outcomes. The probability equation. Students predict if outcome of given situation is probable, certain, or impossible. Using graphs to chart probability and predict outcomes. |
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Using Mental Math | Examples of different methods of computation using mental math. |
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Choosing the Operation | Students decide which operation to use and solve problems. |
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Extra Information | Students read problems, identify unneeded information, and solve problems. |
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Story Problems 2 | Students are given information to formulate into problem. Students check for reasonableness of answers. |
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Finding Needed Facts | Students read information and identify missing information. |
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Story Problems 3 | Students read information, form plan, choose the correct operation, and solve problems having more than two steps. |
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Logical Reasoning | Students use logic to solve problems. Students check for reasonability of answers. |
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Test 1 | Review test over number operations. |
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Test 2 | Review test over fractions. |
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Test 3 | Review test over measurement. |
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Test 4 | Review test over geometry. |
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Test 5 | Review test over probability. |
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Comprehensive Test | Comprehensive test covering unit. |
