Algebra Module 4: Graphs, Tables, Equations

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Lessons Lesson Summary
For virtual manipulatives for basic algebra and geometry, please see: (scroll down) http://matti.usu.edu/nlvm/nav/grade_g_3.html

Alg 4.0 Maps and Coordinates
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Students locate their houses and the school on a map obtained from the internet. They translate this map to a coordinate grid sheet and practice placing, naming, and comparing coordinate points.

Alg 4.0b Transforming Snoopy using Coordinates       PDF

Students create Snoopy on the calculator using coordinate points. Then they manipulate the lists to transform his position.
Alg 4.1a Stories from Graphs
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Students match stories to distance/time graphs and then create stories to go with distance/time graphs. They also match graphs from the Calculators and CBRs by moving toward and away from a wall.
Alg 4.1b Stories from Graphs Part III,IV
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This lesson is a continuation of lesson 4.1a
Alg 4.1c Graphs Tell Stories PDF
This lesson could serve as and assessment to 4.1a. Students match graphs to stories and stories to graphs.
Alg 4.2 Rules from Tables and Graphs
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Students describe rules for patterns found in tables of coordinate pairs and their graphs. They use rules to find other coordinate pairs.
Alg 4.2b Proving Equation Rules
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Students enter equations into y = on graphing calculators, solve for the y values of a coordinate pair, then trace to prove the coordinate points.
Alg 4.3 Figurate Number Patterns
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Students explore and describe the patterns found in figurate numbers, use the patterns to make predictions and match equations to the patterns.

Alg 4.4 Patterns and Rules
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Students analyze number patterns found in sequences of coordinate pairs, create rules and differentiate between a constant pattern of growth (linear) and an exponential pattern.

Alg 4.5 Choose a Prize
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Students choose which prize based on linear and exponential growth patterns. They create scatter plots and differentiate between repeated addition and repeated multiplication.

To correlate the study of scatter plots and "line of best fit" with the study of Statistics, please refer to Statistics Module 2, lessons 2.3 to 2.6. These lessons fit here as well as in Statistics.

Alg 4.6 Spaghetti Line of Best Fit
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Students relate the marble weight it takes to break an increasing amount of spaghetti strands. They use a calculator to find a line of best fit and create a linear model.
Alg 4.7 Tongue Twister
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Students create a line of best fit and analyze the growth relating time and tongue twister repetitions.
Alg 4.8 Predictions from Data and Graphs
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Students collect data to answer real-life questions, report their predictions and conclusions using graphs, tables, equations and writing. Then they write their own question requiring data collection, organization and interpretation.