Interactivate: Standard Expectation

22 items total

Organization: North Carolina Standard Course of Study
Grade Band: 7th Grade
Standard Goal: The learner will understand and compute with rational numbers.

a. Analyze computational strategies.
b. Describe the effect of operations on size.
c. Estimate the results of computations.
d. Judge the reasonableness of solutions.
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a. Analyze computational strategies.

Fraction Facts	Lesson: Introduces students to fractions and explores basic mathematical operations with fractions, comparing fractions, and converting fractions into decimals or percents.
Converter	Activity: Converts fractions to decimals and decimals to fractions. Observe the relationships between fractions and decimals.
Fraction Finder	Activity: Graphically determine the value of two given fractions represented as points on a number line. Graphically find a fraction whose value is between the two given fractions, then determine its value. Fraction Finder is one of the Interactivate assessment explorers.
Fraction Pointer	Activity: Graphically determine the value of two given fractions represented as points on a number line. Graphically find a fraction whose value is between the two given fractions (using an arrow on the number line as a guide), then determine its value. Fraction Pointer is one of the Interactivate assessment explorers.
Sierpinski's Triangle	Activity: Step through the generation of Sierpinski's Triangle -- a fractal made from subdividing a triangle into four smaller triangles and cutting the middle one out. Explore number patterns in sequences and geometric properties of fractals.

b. Describe the effect of operations on size.

Fraction Facts	Lesson: Introduces students to fractions and explores basic mathematical operations with fractions, comparing fractions, and converting fractions into decimals or percents.
Introduction to the Concept of Probability	Lesson: Introduces students to simple probability concepts.
Another Hilbert Curve Generator	Activity: Students work step-by-step through the generation of a different Hilbert-like Curve (a fractal made from deforming a line by bending it), allowing them to explore number patterns in sequences and geometric properties of fractals.
Experimental Probability	Activity: Experiment with probability using a fixed size section spinner, a variable section spinner, two regular 6-sided dice or customized dice. Appropriate for elementary grades.
Fraction Sorter	Activity: Visualize fractions by coloring in the appropriate portions of either a circle or a square, then order those fractions from least to greatest. Fraction Sorter is one of the Interactivate assessment explorers.

c. Estimate the results of computations.

Fire!, Probability, and Chaos	Lesson: Utilizes and reinforces concepts of probability, mean, line plots, experimental data, and chaos in analyzing a forest fire simulation.
Fraction Facts	Lesson: Introduces students to fractions and explores basic mathematical operations with fractions, comparing fractions, and converting fractions into decimals or percents.
Introduction to Fractals: Infinity, Self-Similarity and Recursion	Lesson: Introduces students to the ideas involved in understanding fractals.
Fraction Finder	Activity: Graphically determine the value of two given fractions represented as points on a number line. Graphically find a fraction whose value is between the two given fractions, then determine its value. Fraction Finder is one of the Interactivate assessment explorers.
Hilbert Curve Generator	Activity: Step through the generation of a Hilbert Curve -- a fractal made from deforming a line by bending it, and explore number patterns in sequences and geometric properties of fractals.

d. Judge the reasonableness of solutions.

Fraction Facts	Lesson: Introduces students to fractions and explores basic mathematical operations with fractions, comparing fractions, and converting fractions into decimals or percents.
Ideas that Lead to Probability	Lesson: Introduces students to concepts used which lead to probability.
Introduction to the Concept of Probability	Lesson: Introduces students to simple probability concepts.
Converter	Activity: Converts fractions to decimals and decimals to fractions. Observe the relationships between fractions and decimals.
Dice Table	Activity: Experiment with the outcome distribution for a roll of two dice by simulating a dice throwing game. Parameters: Which player wins with which total rolled.
Spinner	Activity: Create a game spinner with one to twelve sectors to look at experimental and theoretical probabilities. Parameters: Number of sectors, number of trials.
Two Colors Applet	Activity: Choose one of three boxes and choose one ball from the box to look at conditional probabilities. Parameters: Number of trials.