Scope and Sequence AM™ TX CCR Gr 3 Library The Accelerated Math™ Texas CCR Library scope and sequence is based on extensive mathematics and standards research and consultation from mathematics educators, mathematicians, and university researchers. You're sure to find objectives that reinforce the skills you are teaching, regardless of what instructional materials you use. Accelerated Math makes it easy to select and organize objectives to suit your textbook and your own teaching approach. This Accelerated Math Texas CCR library provides the following scope and sequence of objectives Topic 1 - Number and Operations: Place Value • • • • • • • • • Relate a number to 10,000 to a model using thousands, hundreds, tens, and ones Determine the numeric expanded form of a 4- or 5-digit whole number Determine the standard form of a whole number up to 100,000 when given its numeric expanded form Determine the result of changing a digit in a 4- or 5-digit whole number Determine the relative size of a number between two consecutive multiples of 10 or 100 given a number line Determine the relative size of a number between two consecutive multiples of 1,000 or 10,000 given a number line Use a number line to round a whole number within 1,000 to the nearest 10 or 100 Compare two whole numbers up to 100,000 using the symbols <, >, and = Order whole numbers to 100,000 in ascending or descending order Topic 2 - Number and Operations: Fractional Units • • • • • Identify a unit fraction as part of a whole Relate a fraction to a model Relate a fraction to a point on a number line Recognize a non-unit fraction as the sum of unit fractions on a number line WP: Solve a problem involving partitioning an object or a set of objects among two or more recipients using pictorial representations of fractions • • • • • • • Recognize equivalent fractions using models Use a number line to identify a fraction equivalent to a given fraction Use a model to determine why two fractions are equivalent Compare fractions using models WP: Determine a valid statement when comparing fractions Compare fractions with like numerators Compare fractions with like denominators Topic 3 - Number and Operations: Whole Number Computations • • • • • • • • • • Apply properties of addition with 2digit numbers Add within 1,000 using strategies based on place value without regrouping Add within 1,000 using strategies based on place value with one regrouping Add within 1,000 using strategies based on place value with two regroupings Subtract within 1,000 using strategies based on place value without regrouping Subtract within 1,000 using strategies based on place value with one regrouping Subtract within 1,000 using strategies based on place value with two regroupings Add a 2-digit and a 3-digit number without regrouping Add a 2-digit and a 3-digit number with no more than one regrouping (vertical format) Add a 2-digit and a 3-digit number with no more than one regrouping (horizontal format) P.O. Box 8036|Wisconsin Rapids, WI 54495-8036|(800) 338-4204|www.renlearn.com © 2015 Renaissance Learning, Inc. All rights reserved. Page 1 of 5 R57551.150218 Scope and Sequence • • • • • • • • • • • • • • • • • • • • • Add two 3-digit numbers without regrouping Add two 3-digit numbers with one regrouping (vertical format) Add two 3-digit numbers with one regrouping (horizontal format) Subtract a 3-digit number from a 3digit number without regrouping Subtract a 1- or 2-digit number from a 3-digit number with one regrouping (vertical format) Subtract a 1- or 2-digit number from a 3-digit number with one regrouping (horizontal format) Subtract a 3-digit number from a 3digit number with one regrouping (vertical format) Subtract a 3-digit number from a 3digit number with one regrouping (horizontal format) Apply properties of addition with 2and 3-digit numbers Add four 1- to 3-digit numbers within 1,000 Add two whole numbers within 1,000 Add three 2- to 3-digit whole numbers Subtract whole numbers within 1,000 WP: Solve a 1-step problem with whole numbers using addition or subtraction within 1,000 WP: Solve a 2-step problem with whole numbers using addition and subtraction within 1,000 Determine the missing addend in a number sentence involving 3-digit numbers Determine the missing subtrahend in a number sentence involving 3-digit numbers Estimate a sum or difference of whole numbers to 1,000 by rounding Determine the value of a collection of bills and coins WP: Solve a problem involving pictures of dollar bills, quarters, dimes, nickels, and pennies, using $ and ¢ symbols appropriately WP: Solve a problem involving dollar bills, quarters, dimes, nickels, and pennies, using $ and ¢ symbols appropriately AM™ TX CCR Gr 3 Library • • • • • • • • • • • • • • • • • • • • • • WP: Solve a put-together or takeapart problem involving pictures of dollar bills, quarters, dimes, nickels, and pennies, using $ and ¢ symbols appropriately Relate a multiplication sentence within 100 to an array model Relate a multiplication fact to a repeated addition sentence Interpret a multiplication fact as the sum of equal groups Use a multiplication sentence to represent the sum of equal groups Represent a whole-number product as a rectangular area in mathematical reasoning Fluently multiply within 100 using basic facts Fluently divide within 100 using basic facts Multiply three 1-digit whole numbers using strategies based on properties of operations Multiply a 1-digit whole number by a multiple of 10 within 90 Multiply a 2-digit whole number by a 1-digit number using the distributive property Multiply a 2-digit whole number by a 1-digit number Recognize the number of equal groups using pictures Determine the remainder when dividing objects into equal groups Determine the number of equal groups of objects excluding the remainder WP: Divide objects into equal groups by sharing Identify odd and even numbers between 100 and 1,000 Understand division as an unknown factor problem WP: Solve a multiplication problem within 100 involving equal groups WP: Solve a division problem within 100 involving equal groups WP: Solve a multiplication problem within 100 involving arrays WP: Solve a division problem within 100 involving arrays P.O. Box 8036|Wisconsin Rapids, WI 54495-8036|(800) 338-4204|www.renlearn.com © 2015 Renaissance Learning, Inc. All rights reserved. Page 2 of 5 R57551.150218 Scope and Sequence • • • • WP: Represent a multiplication or a division situation within 100 using a picture showing measurement quantities WP: Solve a multiplication problem within 100 involving measurement quantities WP: Solve a division problem within 100 involving measurement quantities WP: Solve a 2-step problem with whole numbers using multiplication and division Topic 4 - Algebraic Reasoning • • • • • • • WP: Represent a 1-step problem involving addition or subtraction of whole numbers to 1,000 using pictorial models, number lines, or equations WP: Represent a 2-step problem involving addition and/or subtraction of whole numbers to 1,000 using number lines or equations WP: Determine a multiplication or division sentence within 100 for a given situation WP: Represent a multiplication or a division situation within 100 using a picture showing arrays Determine the missing multiplicand in a number sentence involving basic facts Determine the missing dividend or divisor in a number sentence involving basic facts WP: Generate a table of paired numbers based on a real-life situation Topic 5 - Geometry and Measurement: Geometric Shapes • • • • • Determine the group in which a geometric shape belongs Determine the rule used to sort geometric shapes Identify a common subcategory of quadrilaterals Identify a quadrilateral that does not belong to common subcategories of quadrilaterals Classify a quadrilateral on a grid AM™ TX CCR Gr 3 Library • • • • • • Determine the area of a rectangle with whole-number side lengths by tiling Determine the area of a rectangle given a picture showing length and width Determine the area of a rectangle given length and width WP: Determine the area of a rectangle given a picture showing length and width Find the area of a rectilinear figure by decomposing it into non-overlapping rectangles and adding the areas of the non-overlapping parts WP: Find the area of a rectilinear figure by decomposing it into nonoverlapping rectangles and adding the areas of the non-overlapping parts Topic 6 - Geometry and Measurement: Customary and Metric Measurement • • • • • • • • • • Identify a fraction as a distance from zero on a number line Determine the perimeter of a polygon given a picture showing side lengths Determine the perimeter of a rectangle or square given a picture showing length and width Determine the missing side length of a rectangle or square given a picture and the perimeter Determine the missing side length of a polygon given a picture and the perimeter WP: Determine the perimeter of a polygon given a picture showing all side lengths WP: Determine the perimeter of a rectangle given a picture showing length and width WP: Find the unknown side length of a rectangle given a picture where the perimeter and one other side length are given WP: Find the unknown side length of a polygon given a picture where the perimeter and other side lengths are given WP: Calculate elapsed time within an hour given two clocks P.O. Box 8036|Wisconsin Rapids, WI 54495-8036|(800) 338-4204|www.renlearn.com © 2015 Renaissance Learning, Inc. All rights reserved. Page 3 of 5 R57551.150218 Scope and Sequence • • • • • • • WP: Calculate elapsed time within an hour WP: Solve a problem involving addition or subtraction of time intervals in minutes WP: Determine the end time given the start time on a clock and the elapsed time within an hour WP: Determine the start time given the end time on a clock and the elapsed time within an hour WP: Solve a problem involving addition or subtraction of time intervals in minutes using pictures WP: Determine a liquid volume or weight WP: Solve a 1-step problem involving mass or volume AM™ TX CCR Gr 3 Library Topic 7 - Data Analysis • • • • • • • • • Use a frequency table to represent data Use a dot plot with scaled intervals to represent data Use a scaled pictograph graph to represent data Use a scaled bar graph to represent data WP: Solve a 1-step problem using information in a frequency table WP: Solve a 1-step problem using information in a scaled pictograph WP: Solve a 1-step problem using information in a scaled bar graph WP: Solve a 2-step problem using information in a scaled pictograph WP: Solve a 2-step problem using information in a scaled bar graph P.O. Box 8036|Wisconsin Rapids, WI 54495-8036|(800) 338-4204|www.renlearn.com © 2015 Renaissance Learning, Inc. All rights reserved. Page 4 of 5 R57551.150218 Scope and Sequence Accelerated Math Libraries include an almost unlimited supply of dynamic algorithm-generated problems for both assisted-response (multiplechoice) and free-response assignments. Twelve Texas CCR libraries are available: Kindergarten Grade 1 Grade 2 Grade 3 Grade 4 Grade 5 Grade 6 Grade 7 Grade 8 Algebra 1 Algebra 2 Geometry AM™ TX CCR Gr 3 Library Please call us toll-free at 1-800-338-4204 to order this Accelerated Math library or to request the Scope and Sequence for other libraries. Accelerated Math Library AM TX CCR Grade 3 Library P.O. Box 8036|Wisconsin Rapids, WI 54495-8036|(800) 338-4204|www.renlearn.com © 2015 Renaissance Learning, Inc. All rights reserved. Page 5 of 5 R57551.150218
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