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Lesson Area
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Description
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Quick Tour
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Start Button
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Identification and Counting Skills
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- Count objects (from 0 to 10)
- Identify and match simple shapes of different size and color
- Identify, match, and count shapes from within more complicated sets of figures
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Integers - Addition and Subtraction
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- Develop basic addition and subtraction skills with positive integer operands
- Identify the graph of positive and negative integers on a number line (ranging from -10 to 10)
- Enhance addition and subtraction skills utilizing positive and negative integers (from -100 to +100)
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Charts
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- Explore integers represented in both sorted and unsorted bar charts
- Explore integers shown in decimal fraction notation and their representation in bar charts
- Explore pie charts and the representation of lists of integers as fractions of a "pie"
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Integers - Multiplication and Division
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- Develop basic multiplication and division skills with positive integers only
- Enhance multiplication and division skills utilizing both positive and negative integers
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Fractions
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- Explore the relative sizes and the meaning of rational numbers
- Develop addition and subtraction skills with fractions
- Develop multiplication and division skills with fractions
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Integer Expressions
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- Resolve simple integer expressions with addition and subtraction only
- Resolve a variety of expressions which may also include multiplication and division
- Master resolving complex expressions with all four operations
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Exponents
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- Resolve simple exponential terms
- Resolve expressions which include exponents
- Resolve expressions of up to five operators and with parentheses
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Graphing
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- Explore numerical representation of points on an X-Y plane
- Explore graphical representation and visualization of
numerical relationships expressed by linear equations (straight lines)
- Explore graphical representation and visualization of
numerical relationships expressed by simple quadratic equations (parabolas)
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Variable Substitution
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- Work with simple expressions using variables (integer based)
- Work with more complex expressions using variables
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Decimal Expressions
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- Perform decimal calculations with simple expressions
- Perform more advanced calculations (use scratch paper or calculator)
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| Interactive Tutoring and Practice Modules | Description |
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A Counting Playground
| Learn how to count to five (5) using this simple interactive applet. The concept of doing an action and ondoing an action enriches this simple and entertaining introduction to numbers.
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Pie Chart Tutor
| Explore the representation of sets of integers in pie charts. Investigate how the size of representation depends on all other elements in the set. Discover the existence of equivalent fractions.
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Integer Expression Tutor
| Learn how to solve all kinds of integer expressions by being guided step-by-step towards their solution. Suitable for open-ended exploration and discovering patterns.
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Decimal Expression Tutor
| Investigate expressions with decimal fractions as well.
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Graphing Tutor
| Investigate graphs of points and various shaped lines. You may graph points on a one-dimensional number line or within a two-dimensional space.
You may also explore the graphs for equations of the forms Y=C, Y=BX, Y=BX+C, Y=AX^2, Y=AX^2+C, Y=AX^2+BX+C. Investigate the solutions to linear and quadratic equations. Great tool for open-ended exploration of the graphical representation of numbers and for discovering patterns.
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