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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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Addition & Subtraction 1 | Addition and subtraction of two-digit numbers. Regrouping in subtraction. |
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Understanding Numbers 1 | Counting Numbers to 100,000. Odd and even numbers. Skip counting by 2, 3, 4, 5, and 10. Using ordinal numbers to show order. |
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Money 1 | Counting bills and coins. Rounding money. |
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Money 2 | Comparing and ordering money amounts. Adding and subtracting money amounts. |
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Ordering Numbers | Using a number line to show order and greater and less than. Rounding numbers to the nearest ten and nearest hundred. Roman numerals. |
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Fact Families | Students identify fact families and missing members of them. |
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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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Addition & Subtraction 2 | Students add three and four addends vertically and horizontally. Regrouping numbers using parentheses. |
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Extra Information | Students read problems, identify unneeded information, and solve problems. |
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Measuring 1 | Students measure length using nonstandard and standard measurements. Students estimate length and apply appropriate units of length to measurement. |
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Graphing 1 | Students gather information and apply to bar graphs. Students solve problems using bar graphs. |
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Addition & Subtraction 3 | Students add two-digit numbers regrouping ones. Students add two-digit numbers regrouping tens. Students add three-digit numbers including zeros and compare sums using greater than or less than. |
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Story Problems 1 | Students are given information to formulate into problem. Students check for reasonableness of answers. |
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Measuring 2 | Measuring perimeters of given objects. Number palindromes. Estimating by using front digits. |
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Addition & Subtraction 4 | Subtraction problems using two-digit whole numbers and regrouping. Subtraction problems using three-digit numbers. Estimating differences. |
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Using a Calculator | Students use calculators to repeat and extend patterns. Students follow multiple steps of instructions on the calculator. |
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Story Problems 2 | Defining steps used in solving multiple-step problems. Students choose operations and solve two-step problems. |
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Addition & Subtraction 5 | Subtracting three-digit numbers regrouping once. Subtracting three-digit numbers regrouping twice. Subtracting using zeros. |
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Understanding Numbers 2 | Introduction of mean, median, mode, and range. |
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Measuring 3 | Estimating and measuring time, capacity, and mass. Students choose the best unit of measurement. Students write time. |
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Measuring 4 | Students read temperature in Celsius and Fahrenheit. Students estimate and measure capacity and mass. |
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Finding Needed Facts | Students read information and identify missing information. |
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Multiplication 1 | Definition and introduction to multiplication. Students write addition sentences and convert to multiplication sentences. Properties of multiplication. |
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Multiplication 2 | Multiplication sentences using 2, 3, 4, and 5 as factors. Using a number line to multiply. |
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Multiplication 3 | Multiplication using 6, 7, 8, and 9 as factors. Students identify patterns in multiplication table. Multiplying by tens and hundreds. |
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Multiplication 4 | Multiplication using three factors. Grouping numbers using parentheses. Students solve problems with missing elements in all positions. |
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Multiplication 5 | Introduction to area. Students estimate and calculate area of rectangles. |
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Division 1 | Definition and introduction to division. Students place numbers in equal groups. Students write division sentences. |
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Division 2 | Relating multiplication and division. Dividing by tens and hundreds. |
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Division 3 | Students divide using 2, 3, 4, and 5. Students complete division tables. Students identify fact families. |
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Story Problems 3 | Students read information, form plan, choose the correct operation, and solve problems having more than one step. |
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Division 4 | Students divide using 6, 7, 8, and 9. Students complete division tables. Students write multiplication and division sentences, make comparisons, and identify patterns. Division with remainders. |
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Division 5 | Dividing larger numbers. Students divide three and four digit numbers by a one digit number. Different methods of solving division problems. |
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Graphing 2 | Students gather information and solve problems using pictographs. |
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Understanding Numbers 3 | Addition, subtraction, multiplication and results when using even and odd numbers. |
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Graphing 3 | Students gather information from chart, map, or graph and complete another graph with that information. |
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Fractions 1 | Definition and examples of fractions. Relating fractions to a whole. |
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Fractions 2 | Finding parts of a set. Working backward from a whole to parts. |
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Fractions 3 | Equivalent fractions. Students make list of equivalent fractions. Students compare and order size of fractions having the same denominator as to greater than or less than. |
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Fractions 4 | Adding and subtracting fractions with like denominators. |
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Fractions 5 | Introduction to mixed numbers. Comparing mixed numbers. |
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Decimals 1 | Introduction and definition of decimals. Relating fractions to decimals. Decimal place value. Tenths and hundredths. |
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Decimals 2 | Adding and subtracting decimals. Zeros and decimals. Students write decimal sentences. Students complete problems with missing elements in all areas. |
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Probability | Definition and examples of probability. Graphing the results of probability experiments. Making predictions based on probability statistics. |
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Geometry 1 | Introduction and examples of lines, line segments, rays, and angles. |
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Geometry 2 | Plane figures. Sliding, flipping, and turning geometric shapes. Congruence and lines of symmetry. Tessellations. Students identify polygons with up to six sides. |
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Geometry 3 | Three-dimensional shapes. Identifying faces, edges, and corners. Finding volume. |
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Ordered Pairs | Using ordered pairs to locate points on a grid. |
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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 of addition. |
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Test 2 | Review test of subtraction. |
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Test 3 | Review test of multiplication. |
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Test 4 | Review test of division. |
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Test 5 | Review test of fractions. |
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Test 6 | Review test of decimals. |
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Test 7 | Review test of measurement. |
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Test 8 | Review test of geometry. |
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Comprehensive Test | Comprehensive test covering unit. |
