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e-Tutor provides students with a wide variety of topics in twenty-three subjects. Lesson modules can be compared to chapters and include vocabulary, resources, study guide, problem statement, activities, extended learning, quizzes and exams. In order to get credit for the online instruction, students must fully complete each lesson module in the subject assigned for the particular grade level.
Mathematics lesson modules include many examples, diagrams and tables to help the student understand concept and skills in each subject area above. Activities and Extended Learning gives students instruction for hands-on application.
Computation
Students will be able to perform the computations of addition, subtraction, multiplication, and division using whole numbers, integers, fractions, and decimals.
Objectives
- Read, write and name numbers in several different ways.
- Perform operations with numbers with and without a calculator.
- Translate word problem situations to mathematical expressions or sentences and solve.
- Order numbers.
- Apply computational and problem-solving skills to common life situations
At the Primary level students learn counting, adding one and two digit numbers with and without regrouping and at the third grade begin multiplication. Intermediate students focus on fractions and decimal numbers. Middle/Junior High students learn about factoring and using fractions in various ways. At the High School level students learn about complex number, order of operations and exponents.
Ratio and Percentage
Students will be able to understand and use ratios and percentages.
Objectives
- Interpret ratios.
- Construct and solve proportions.
- Apply ratios and proportions in real-life situations.
- Interpret percents in various settings.
- Apply percents in real-life situations.
At the Primary level ratio and percentages are introduced at the third grade level. Decimals, fraction percentages and ratios are the focus of the Intermediate grades. Middle/Junior High students find percent and use concepts in real life situations. Solving problems of percent are the focus at the High School level.
Measurement
Students will be able to make and use measurements, including those of area and volume.
Objectives
- Measure in a variety of contexts using appropriate units.
- Estimate measurements.
- Relate lengths, areas, and volumes in common geometric figures.
- Convert measurements within one system and from one system to another.
- Apply selected measurement systems, instruments and techniques.
Measuring time, water temperature and cooking teach Primary students. Distance, length, metric are included at the Intermediate level. Middle/Junior High students solve problems of area, metric system, and volume. At the High School level, students work on dimensional analysis, conversions and kinematics.
Algebra
Students will be able to identify, analyze and solve problems using algebraic equations, inequalities, functions and their graphs.
Objectives
- Describe general patterns with expressions, equations, or inequalities.
- Solve simple equations and inequalities and interpret the solutions.
- Translate verbal descriptions into algebraic expressions, equations, or inequalities and vice versa.
- Evaluate, solve, and apply formulas with and without calculators.
- Perform operations with algebraic expressions.
Algebra is introduced to the Primary student through the use of patterns and unknown numbers. Intermediate students evaluate expressions and find missing numbers. Middle/Junior High students explore like terms, one-step equations, signed numbers, variables and expressions. High school students go into quadratic equations, binomials and polynomials, simultaneous and linear equations, and parabolas.
Geometry
Students will be able to understand and apply geometric concepts and relations in a variety of forms.
Objectives
- Understand simple geometric figures and patterns of relationships in two and three dimensions.
- Apply symmetry and transformations.
- Apply the concepts or congruence and similarity.
- Apply formulas and construct arguments and proofs to solve geometric problems.
- Define common geometric figures and use deductive reasoning to relate properties of those figures.
Primary students work with two and three dimensional shapes. Intermediate students learn the area of shapes. Middle/Junior High students focus on quadrilaterals, circumference and area, volume and Pythagorean theorem.
Data Analysis
Students will be able to understand and use methods of data collections and analysis, including tables, charts and comparisons.
Objectives
- Interpret data from an experiment.
- Interpret tables, graphs, charts, arrays, schedules, experiments, and surveys reported in media sources.
- Construct tables and graphs to indicate selected trends or relationships.
- Understand commonly used summary statistics.
- Design and conduct an experiment or survey using sampling.
Even in the Primary Grades students use Data Analysis on a daily basis, probably without knowing it, by sorting and categorizing objects. In the Intermediate Grades students are introduced to pictographs, line graphs and mean, median and mode. In the Middle/Junior High grades students learn about frequency distribution and range. At the High School Level, students begin understanding and using statistical terms, such as central tendency, variance and deviation.
Estimation
Students will be able to use mathematics skills to estimate, approximate, and predict and to judge reasonableness of results.
Objectives
- Round numbers.
- Estimate present and future values from graphs or numerical information.
- Apply intervals as estimates.
- Apply problem-solving procedures to solve or suggest a solution to a given problem.
- Use mental arithmetic to estimate results of computations.
Simple rounding is part of the Primary level study. At the Intermediate level, students focus on chance and probability. Middle/Junior High students focus on distance, weight and time and more rounding. Permutations, combinations, and probability formulas are targeted at the High School level.
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