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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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Numbers & Counting 1 | Introduction of five steps to solving problems. Building place-values. Numbers to 100. |
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Numbers & Counting 2 | Regrouping using place-value models. Story problems. Nonstandard methods of keeping count. |
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Numbers & Counting 3 | Skip counting by ones, twos, fives, and tens. Introduction of odd-even concept. Number lines. |
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Odds and Evens | Students write odd numbers and even numbers. Students continue odd-even patterns. Students start with various numbers and count by odd or even numbers. |
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Money 1 | Placing value to groups of coins. and bills. Given certain dollar amounts, students decide what combination of money will give the amount. |
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Money 2 | Subtraction concepts. Making change with money. Concept of more and less. Students determine which costs more or less. |
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Story Problems 1 | Students read information and determine solution. |
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Number Sense | Given numbers, students determine which number comes before, between, or after. Students place numbers in order from least to greatest and greatest to least. |
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Money Strategy | Students choose items that cost a given amount. Students decide which items to buy given a certain amount to spend. |
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Story Problems 2 | Students read information and determine solution. |
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Ordinal Numbers | Students use ordinal numbers to identify order. Odd and even numbers. |
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Graphing 1 | Students answer questions about graphs and complete graphs with information. |
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Graphing 2 | Definition and examples of bar graphs, tables, lists, pictures. Students answer questions and solve problems using graphs. |
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Addition & Subtraction 1 | Definition of addend, sum, and difference. Students write addition and subtraction number sentences. |
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Addition & Subtraction 2 | Using double numbers to add and subtract with sums through 18. Story problems. Regrouping in addition. |
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Fact Families | Students identify fact families. Students complete problems with various elements missing. |
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Story Problems 3 | Students read information and determine solution. |
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Choosing Operations 1 | Students choose the correct operation needed to solve problems. |
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Using a Calculator | Instruction on use of calculator. Students practice working problems on calculators. |
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Adding Three Numbers | Vertical and horizontal addition problems using three and four addends. |
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Extra Information | Students read information and identify facts that are not needed to solve problem. |
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Choosing Operations 2 | Students read information, determine operation, and solve problems. |
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Measurement 1 | Using nonstandard measuring instruments. Students estimate length. Measurement in centimeters and inches. Students choose appropriate units of measurement. |
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Measurement 2 | Students measure mass and weight. Students read and write temperature in Celsius and Fahrenheit. Measurement problems. |
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Measurement 3 | Students estimate and measure capacity in liters, cups and other units of measurement. Students compare sizes. |
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Measurement 4 | Students estimate and measure mass. Students compare mass measurements. Story problems. |
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Estimating | Students estimate sums and measurements. Using front digits to estimate. Estimating greater than and less than. Checking answers for reasonableness. |
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Time 1 | Review of reading time on digital and analog clocks. Clock addition and subtraction. |
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Time 2 | Estimating length of time for certain activities. Choosing units of time measurement. Writing time in words. Hours, half hours, and quarter hours. |
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Time 3 | Students complete calendar and answer questions. Order of days of week and months of year. Students use time lines to show time relationships. |
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Story Problems 4 | Addition and subtraction story problems. Students choose correct operations and solve problems. |
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Geometry 1 | Students identify, describe, and compare two- and three-dimensional figures, including square, triangle, rectangle, cube, sphere, and cone. Students measure perimeters of objects. |
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Geometry 2 | Definition and examples of concepts of congruence and symmetry. Students identify symmetrical and congruent figures. |
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Probability 1 | Definition of probability. Students gather data and create graphs from information. |
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Probability 2 | Students gather data and write probability statements. Students predict outcomes based on probability statements. |
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Patterns 1 | Students recognize patterns in addition and subtraction. Students find missing numbers in patterns. |
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Patterns 2 | Students extend patterns. Students create patterns. Introduction to ordered pairs. |
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Patterns 3 | Students sort and order objects according to different attributes. Students find patterns. |
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Strategy | Using different strategies to solve the same problem. Students solve problem, then use another strategy to check answers. |
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Logic | Introduction of logical reasoning. Students read information and use logic to solve problems. |
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Fractions 1 | Students identify halves, thirds, fourths, and sixths. |
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Fractions 2 | Students identify fractional parts of a whole. |
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Test 1 | Review test of number sense operations. |
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Test 2 | Review test of money operations. |
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Test 3 | Review test of time problems. |
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Test 4 | Review test of addition. |
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Test 5 | Review test of subtraction. |
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Test 6 | Review test of geometry. |
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Test 7 | Review test of fractions. |
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Test 8 | Comprehensive test covering unit. |
