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Scope and Sequence Grade 6 Extended Response - Renaissance ...

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<strong>Scope</strong> <strong>and</strong> <strong>Sequence</strong><br />

<strong>Grade</strong> 6 <strong>Extended</strong> <strong>Response</strong><br />

Each <strong>Extended</strong> <strong>Response</strong> Library includes 100 static open-ended problems <strong>and</strong> assignments that integrate the<br />

use of multiple math skills. These multiple-part extended response assignments provide extra challenge <strong>and</strong><br />

help build critical-thinking <strong>and</strong> real-world problem-solving skills. They include authentic <strong>and</strong> performancebased<br />

assessments <strong>and</strong> research projects. Teachers score the assignments using a simple scoring rubric<br />

provided. The program then reports student progress in terms of correct answers, problem-solving strategies,<br />

<strong>and</strong> communication of underst<strong>and</strong>ing. This extended response library provides the following scope <strong>and</strong><br />

sequence of instruction:<br />

Topic 1 – Number Sense<br />

• Proportions, percents<br />

• Age, dates, convert<br />

• Calculate time<br />

• Calculate elapsed time with fractions, decimals <strong>and</strong><br />

percents<br />

• Patterns using multiples<br />

• Estimate money amounts<br />

• Fraction operations, money<br />

• Rates, ratios<br />

• Add, subtract, <strong>and</strong> multiply decimals<br />

• Convert fractions to decimals, predict<br />

• Perfect squares<br />

• Equivalent expressions<br />

• Puzzle, code, addition<br />

• Puzzle, code, multiplication<br />

• Patterns, subtraction, guess <strong>and</strong> check<br />

• Patterns, addition, subtraction<br />

• <strong>Sequence</strong>s<br />

• Patterns<br />

• Alphabet patterns<br />

• Combinations, percents<br />

• Patterns with multiples<br />

• Compare rates of speed<br />

• Discount price, fractions, percents, compare<br />

• Estimate percent<br />

• Sales tax, percent<br />

• Food calories, activity calories<br />

Topic 2 – Algebra<br />

• Place value, conversion, time line graph<br />

• Convert time to decimals<br />

• Convert fraction time, percent, average speed<br />

• Research, distance, table, time<br />

• Convert mixed numbers <strong>and</strong> fractions, operations<br />

• Money, graph, time<br />

• Graph, slope<br />

• Money calculations, draw <strong>and</strong> analyze line graphs<br />

• Proportion, cost<br />

• Proportion, reasoning, compare costs<br />

• Add integers, number line, table<br />

• Decimal operations, mean, money, rate<br />

• Compare unit prices, calculate savings<br />

• Rates, proportions, mean<br />

• Compare unit amounts <strong>and</strong> prices, table, amount saved<br />

• Sales tax, elapsed time, hourly wage<br />

• Proportions, fractions, money<br />

• Calculate rate, ratio, percent <strong>and</strong> compare<br />

• <strong>Sequence</strong>s, relationships<br />

• Analyze patterns<br />

• Problem solving strategies<br />

• Pattern, problem solving, drawing a picture<br />

• Spatial reasoning, problem solving, drawing a picture<br />

• Costs, percent, circle graphs<br />

• Pattern, area, fraction to decimal, number line<br />

• Proportions, average, survey, table, percent<br />

• Convert time, mean, percent<br />

• Distance, mph, miles per gallon, travel time, cost<br />

• Plot data, positive relationships<br />

• Plot data, negative relationship<br />

Topic 3 – Geometry<br />

• Diameter, area, percent, ratio<br />

• Circle area, cost comparison<br />

• Compare areas<br />

• Area, perimeter, metric to st<strong>and</strong>ard conversions<br />

• Convert between metric <strong>and</strong> st<strong>and</strong>ard<br />

• St<strong>and</strong>ard conversions, cost, percent<br />

• Spatial reasoning<br />

• Draw angles, proportions<br />

• Determine dimensions of a volume<br />

• Measure length, round numbers, pattern<br />

• Ordered pairs, symmetry, relation<br />

• Convert <strong>and</strong> compare circle areas<br />

• Find areas of irregular shaped polygons<br />

• Graph coordinates, reflection<br />

• Spatial reasoning, estimate area<br />

• Perimeter, area, fractions<br />

• Scale measure, convert units<br />

• Area, perimeter, dimensions, guess <strong>and</strong> check<br />

• Compare thickness of items<br />

Topic 4 –Discrete Mathematics<br />

• Combinations, probability<br />

• Area, pattern, percent, probability, fractions<br />

• Combinations, sales tax, probability<br />

• Conditional probabilities<br />

• Money combinations<br />

• Combinations, number pattern<br />

• Four-digit combinations<br />

Page 1 of 2<br />

Copyright © 2003 <strong>Renaissance</strong> Learning, Inc.


<strong>Scope</strong> <strong>and</strong> <strong>Sequence</strong><br />

<strong>Grade</strong> 6 <strong>Extended</strong> <strong>Response</strong><br />

• Combinations<br />

• Proportions, percents, circle graph, protractor<br />

• Integers, mean, median, comparisons<br />

• Mean, median, mode<br />

• Bar graph, mean, mean line<br />

• Bar graph, circle graph, percent of number<br />

• Combinations<br />

• Venn diagrams, convert fractions to percents<br />

• Double-line graph, histogram<br />

• Logic, deductive reasoning<br />

• Number combinations<br />

• Multiple number patterns<br />

• Probability, changing probability<br />

• Probability, circle graph<br />

• Fractions, decimals, all operations, reasoning<br />

• Research, compare ratios, probability<br />

• Probability<br />

• Probabilities, tally chart<br />

<strong>Extended</strong> <strong>Response</strong> Libraries provide challenging realworld<br />

problems that help develop problem-solving <strong>and</strong><br />

higher-order thinking skills. Twelve <strong>Extended</strong> <strong>Response</strong><br />

Libraries are available:<br />

• AM <strong>Grade</strong> 3 <strong>Extended</strong> <strong>Response</strong><br />

• AM <strong>Grade</strong> 4 <strong>Extended</strong> <strong>Response</strong><br />

• AM <strong>Grade</strong> 5 <strong>Extended</strong> <strong>Response</strong><br />

• AM <strong>Grade</strong> 6 <strong>Extended</strong> <strong>Response</strong><br />

• AM <strong>Grade</strong> 7 <strong>Extended</strong> <strong>Response</strong><br />

• AM Geometry <strong>Extended</strong> <strong>Response</strong><br />

• AM Pre-Algebra <strong>Extended</strong> <strong>Response</strong><br />

• AM Algebra 1 <strong>Extended</strong> <strong>Response</strong><br />

• AM Algebra 2 <strong>Extended</strong> <strong>Response</strong><br />

• AM Pre-Calculus <strong>Extended</strong> <strong>Response</strong><br />

• AM Calculus <strong>Extended</strong> <strong>Response</strong><br />

• AM Basic Math <strong>Extended</strong> <strong>Response</strong><br />

Please call us toll-free at 1-866-492-6284 to order this<br />

Accelerated Math library or to request the <strong>Scope</strong> <strong>and</strong><br />

<strong>Sequence</strong> for other libraries.<br />

Accelerated Math Library<br />

<strong>Extended</strong> <strong>Response</strong> <strong>Grade</strong> 6 Library<br />

Stock No.<br />

EXTGRD6<br />

P.O. Box 8036<br />

Wisconsin Rapids, WI 54495-8036<br />

(866) 492-6284<br />

www.renlearn.com<br />

Page 2 of 2<br />

Copyright © 2003 <strong>Renaissance</strong> Learning, Inc.

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