Scope and Sequence. AM CC Grade 5 Library

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1 The Accelerated Math 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 library provides the following scope and sequence of objectives Topic 1 - Number and Operations in Base Ten: Operations Multi-digit Whole Numbers Multiply a 3-digit whole number by a 2-digit whole number Find the product of three identical factors Multiply three 1- and 2-digit whole numbers Multiply a 3- or 4-digit whole number by a 3-digit whole number a 2-digit whole number, with no remainder and no zeros in the quotient a 2-digit whole number, with a remainder and no zeros in the quotient a 2-digit whole number, with no remainder and at least one zero in the quotient a 2-digit whole number, with a remainder and at least one zero in the quotient a 2-digit whole number and express the quotient as a mixed number WP: Divide a whole number of up to 4- digits by a 2-digit whole number, with no remainder WP: Divide a whole number of up to 4- digits by a 2-digit whole number and interpret the remainder Topic 2 - Number and Operations in Base Ten: Decimals through thousandths when given its word form through thousandths when given its expanded form through thousandths represented in expanded form using powers of ten Determine the word form of a decimal number through thousandths Compare two decimal numbers through thousandths represented in expanded form Compare two decimal numbers through thousandths Round a decimal number to a specified place through hundredths hundredths using pictures hundredths using a place value chart hundredths Add three decimal numbers through hundredths using strategies based on properties of operations hundredths using pictures hundredths using a place value chart hundredths Relate multiplication of a decimal number through tenths by a whole number to a model Relate multiplication of a decimal number through tenths by a decimal number through tenths to a model hundredths by 10, 100, or 1,000 hundredths by a 1-digit whole number hundredths by a 2-digit whole number hundredths by a decimal number through tenths Page 1 of 5

2 Relate division of a whole number by a decimal number through tenths to a model Relate division of a decimal number through tenths to a model Divide a decimal number by 10 or 100 Divide a whole number or a decimal number by 0.1 or 0.01 Divide a 1-digit whole number by a decimal number through hundredths where the quotient is a whole number Divide a 2- to 3-digit whole number by a decimal number through hundredths where the quotient is a whole number Divide a decimal number through hundredths by a 1-digit whole number Divide a decimal number through hundredths by a decimal number through hundredths Topic 3 - Operations and Algebraic Thinking Evaluate a numerical expression of two operations with parentheses, using order of operations Evaluate a numerical expression of three operations with parentheses, using order of operations Evaluate a numerical expression of four or more operations with parentheses, using order of operations Translate a verbal expression into a numerical expression Translate a numerical expression into a verbal expression Represent powers of 10 using wholenumber exponents WP: Generate two numerical patterns using two given rules WP: Determine the relationship between corresponding terms in a table containing two different numerical patterns Topic 4 - Number and Operations: Fractions that have factors in common that have factors in common and simplify the sum that have no factors in common denominators that have factors in common denominators that have factors in common and simplify the denominators that have no factors in common Add mixed numbers with unlike denominators and simplify the sum Subtract mixed numbers with unlike denominators and simplify the Add two mixed numbers with unlike denominators or a mixed number to a fraction with unlike denominators and simplify the sum Subtract two mixed numbers with unlike denominators or subtract a fraction from a mixed number with unlike denominators and simplify the Estimate a fraction sum using benchmark numbers 0, 1/2, and 1 Estimate a fraction using benchmark numbers 0, 1/2, and 1 WP: Add or subtract fractions with unlike denominators that have no factors in common WP: Add or subtract mixed numbers with unlike denominators that have no factors in common WP: Estimate a fraction sum or using benchmark numbers 0, 1/2, and 1 WP: Add or subtract fractions with unlike denominators and simplify the sum or WP: Add or subtract mixed numbers with unlike denominators or a mixed number and a fraction with unlike denominators and simplify the sum or Relate a fraction to a division sentence WP: Divide whole numbers resulting in a fraction or mixed number Relate the product of a fraction and a whole number to a model Page 2 of 5

3 Relate the multiplication of a fraction by a whole number to an equivalent expression Relate the multiplication of two fractions to an equivalent expression Relate the product of two fractions to a rectangular area model Determine the area of a rectangle with fractional side lengths by tiling Multiply a fraction by a fraction Multiply a mixed number by a whole number Multiply a mixed number by a fraction Multiply a mixed number by a mixed number Determine the area of a rectangle with fractional side lengths using multiplication Determine the result of multiplying a number by a fraction equal to 1, less than 1, or greater than 1 WP: Multiply two fractions WP: Multiply two mixed numbers or a mixed number and a fraction Relate a situation involving division of a unit fraction by a non-zero whole number to a numeric expression Divide a unit fraction by a non-zero whole number Relate a situation involving division of a whole number by a unit fraction to a numeric expression Divide a whole number by a unit fraction using a model Divide a whole number by a unit fraction WP: Divide a unit fraction by a nonzero whole number WP: Divide a whole number by a unit fraction Topic 5 - Measurement and Data Solve a problem with fractions involving any of the four operations by using information presented in a line plot with a fractional scale to eighths length using fractional amounts capacity using fractional amounts weight using fractional amounts Convert between metric units of capacity using decimal amounts Convert between metric units of mass using decimal amounts Convert between metric units of linear measurements using decimal amounts WP: Solve a multi-step real-world problem involving unit conversions within the customary system WP: Solve a multi-step real-world problem involving unit conversions within the metric system Topic 6 - Geometry: Concepts and Measurement Determine the location of an ordered pair in the first quadrant Determine the location of an ordered pair in the first quadrant using compass directions Determine how to travel from the origin to a given point in the first quadrant Determine the ordered pair of a point in the first quadrant WP: Graph a point in the first quadrant of the coordinate plane to represent a problem Classify a 2-dimensional figure into categories and subcategories based on attributes rectangular prism by counting unit cubes rectangular prism given a diagram rectangular prism WP: Determine the volume of a right rectangular prism given a diagram and formula WP: Determine the volume of a right rectangular prism given a formula Determine the volume of a solid figure composed of right rectangular prisms by decomposing it into two nonoverlapping parts and adding the volumes of the non-overlapping parts Page 3 of 5

4 WP: Determine the volume of a solid figure composed of right rectangular prisms by decomposing it into two non-overlapping parts and adding the volumes of the non-overlapping parts Page 4 of 5

5 Accelerated Math Libraries include an almost unlimited supply of dynamic algorithm-generated problems for both assisted-response (multiplechoice) and free-response assignments. Twenty libraries are available: Kindergarten Algebra 2 Grade 1 Geometry Grade 2 Math 1 Grade 3 Math 2 Grade 4 Math 3 Grade 5 Probability & Statistics Grade 6 Pre-Calculus Grade 7 Calculus Grade 8 Financial Literacy Math 1 Algebra 1 Financial Literacy Math 2 Please call us toll-free at to order this Accelerated Math library or to request the Scope and Sequence for other libraries. Accelerated Math Library AM CC Grade 5 Library Page 5 of 5