Grade 6 Second Edition Library Topic 1 - Number Sense and Operations

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1 The Accelerated Math Second Edition 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 Sense and Operations Determine the prime factorization of a between 50 and 200 Determine the greatest common factor of three s to 100 Determine the least common multiple of three s WP: Determine the least common multiple of two or more s Apply divisibility rules for 3, 4, 6, and 9 Find the product of three identical factors Determine the square of a whole to 15 Determine the cube of a whole to 15 Divide a whole by a 1-digit whole resulting in a decimal quotient through thousandths Divide a whole by a 2-digit whole resulting in a decimal quotient through thousandths WP: Divide a whole by a 1- or 2- digit whole resulting in a decimal quotient WP: Solve a multi-step problem involving whole s Add fractions with unlike denominators and simplify the sum Subtract fractions with unlike denominators and simplify the difference Subtract a fraction from a whole WP: Add or subtract fractions with unlike denominators and simplify the sum or difference Add mixed s with unlike denominators or a mixed and a fraction with unlike denominators and simplify the sum Subtract a mixed from a whole Subtract mixed s with unlike denominators or a mixed and a fraction and simplify the difference Add and subtract three unlike-denominator fractions, mixed s, or fractions and mixed s, and simplify the answer WP: Add or subtract mixed s with unlike denominators or a mixed and a fraction with unlike denominators and simplify the sum or difference Multiply a fraction by a fraction Multiply a mixed by a whole Multiply a mixed by a fraction Multiply a mixed by a mixed Determine the reciprocal of a whole, a proper fraction, or an improper fraction Determine the reciprocal of a mixed Divide a fraction by a whole resulting in a fractional quotient Divide a fraction by a fraction Divide a whole by a fraction resulting in a fractional quotient Divide a mixed by a fraction Divide a mixed by a mixed WP: Multiply or divide a fraction by a fraction WP: Multiply or divide two mixed s or a mixed and a fraction WP: Solve a 2-step problem involving fractions Represent a decimal in expanded form using powers of ten Determine the decimal represented in expanded form using powers of ten Determine the power of ten that relates a decimal and a whole Determine the power of ten that relates two decimal s Add three decimal s Add and subtract three decimal s WP: Add and subtract three decimal s Multiply a decimal through thousandths by a whole Page 1 of 5 v /06/ Renaissance Learning, Inc.

2 WP: Multiply a decimal through thousandths by a whole WP: Multiply a money expression by a decimal Multiply a decimal greater than one, in tenths, by a decimal in tenths Multiply decimal s to thousandths using basic facts Multiply decimal s less than one in hundredths or thousandths Multiply a decimal greater than one by a decimal to thousandths that has only 1 nonzero digit Multiply decimal s greater than one where the product has 2 or 3 decimal places WP: Multiply two decimal s to thousandths WP: Estimate the product of two decimals Divide a decimal by 10, 100, or 1,000 Relate division by a whole power of ten to multiplication by the related decimal fraction power of ten Divide a decimal through thousandths by a 1- or 2-digit whole where the quotient has 2-5 decimal places WP: Divide a decimal through thousandths by a 1- or 2-digit whole Divide a whole or a decimal by 0.1, 0.01, or Relate division by a decimal fraction power of ten to multiplication by the related whole power of ten Locate the decimal point in the quotient of a whole, or a decimal, divided by a decimal Divide a 1- to 3-digit whole by a decimal to tenths where the quotient is a whole Divide a 1- to 3-digit whole by a decimal to tenths where the quotient is a decimal to thousandths Divide a 2- or 3-digit whole by a decimal to hundredths or thousandths, rounded Divide a decimal by a decimal through thousandths, rounded WP: Divide a whole by a decimal through thousandths, rounded WP: Divide a decimal through thousandths by a decimal through thousandths, rounded WP: Estimate the quotient of two decimals WP: Solve a 2-step problem involving decimals Convert a mixed to a decimal Convert a decimal to a mixed Convert a fraction to a repeating decimal Determine the approximate percent of a region shaded Convert a decimal to a percentage Convert a percentage to a decimal Convert a fraction to a percentage Convert a percentage to a fraction Compare s in decimal and fractional forms Order s in decimal and fractional forms Determine a percent where a ratio, not in 100ths, is given in words Calculate a percent of a whole where the answer is a whole WP: Calculate the percent of a whole where the answer is a whole WP: Determine a ratio using whole s less than 50 Determine if ratios, using whole s less than 50, are equivalent WP: Determine a part given a ratio and the whole where the whole is less than 50 WP: Determine a part given a ratio and another part where the whole is less than 50 WP: Determine the whole given a ratio and a part where the whole is less than 50 WP: Determine a unit rate with a whole value WP: Use a unit rate, with a whole or whole cent value, to solve a problem Evaluate a numerical expression of four or more operations, with parentheses, using order of operations Identify or locate an integer on a line Compare two negative integers or a negative integer and a positive integer Page 2 of 5 v /06/ Renaissance Learning, Inc.

3 Order negative integers or a mix of positive and negative integers Topic 2 - Algebra Determine which property of addition or multiplication justifies a step in the simplification of an expression Use a variable expression with two operations to represent a verbal expression Use a verbal expression to represent a variable expression with two operations WP: Use a variable expression with two operations to represent a situation WP: Use a 2-variable equation to represent a situation involving a direct proportion WP: Use a 2-variable linear equation to represent a situation Evaluate a 1-variable expression, with two or three operations, using whole substitution Evaluate a 2-variable expression, with two or three operations, using whole substitution WP: Evaluate a 1- or 2-variable expression or formula using whole s Solve a 1-step equation involving whole s Solve a proportion WP: Generate a table of paired s based on a variable expression with two operations Use a 2-variable equation to construct an input-output table Use a 2-variable equation to represent a relationship expressed in a table Use a first quadrant graph to represent the values in an input-output table Use a graph to determine the entries in an input-output table Topic 3 - Geometry and Measurement WP: Add or subtract customary measures of capacity requiring unit conversion WP: Add or subtract metric measures of capacity requiring unit conversion WP: Add or subtract customary measures of weight requiring unit conversion WP: Add or subtract metric measures of mass requiring unit conversion WP: Multiply or divide customary measures of capacity requiring unit conversion WP: Multiply or divide metric measures of capacity requiring unit conversion WP: Multiply or divide customary measures of weight requiring unit conversion WP: Multiply or divide metric measures of mass requiring unit conversion Determine a time in different time zones Convert between Fahrenheit and Celsius temperature given a formula Determine a temperature change given a picture of thermometers Measure an angle, between two rays or in a shape, to the nearest degree Determine the perimeter of a complex shape Determine the area of a complex shape WP: Determine the perimeter or the area of a complex shape Answer a question about the parts and relationships in a circle Determine the circumference of a circle using 22/7 for pi Determine the circumference of a circle using 3.14 for pi WP: Determine the circumference of a circle Determine the volume of a prism with a right triangle base Determine the surface area of a 3- dimensional shape made from cubes Determine the measure of a missing angle using straight and right angle relationships Identify parallel, perpendicular, or intersecting lines Identify attributes of a 3-dimensional shape Know the properties of a triangle or a quadrilateral Identify congruent shapes shown on a grid or within pattern block arrangements, with different orientations Determine a length given a scale Use symmetry to determine a length or an angle measure Determine the result of a reflection, a rotation, or a translation on the Cartesian plane Determine the transformation that generates the image of a figure in the Cartesian plane Determine the location of an ordered pair in any quadrant Determine the ordered pair of a point in any quadrant Page 3 of 5 v /06/ Renaissance Learning, Inc.

4 Topic 4 - Data Analysis, Statistics, and Probability Read a double-line graph double-line graph Read a stem-and-leaf plot Use a stem-and-leaf plot to represent data stem-and-leaf plot Use a frequency table to represent 2 related data sets frequency table representing 2 related data sets Determine the mean of a set of whole data Determine the median of a set of whole data Determine the mode or modes of a set of whole data Determine the effect of a change in a data set on the mean and/or median Determine an experimental probability given a list of results Determine the probability of a single event Determine the probability of the complement of a single event Make a prediction based on an experimental probability Make a prediction based on a theoretical probability Compare predictions from experimental and theoretical probability Determine the of possible combinations of a set of objects Page 4 of 5 v /06/ Renaissance Learning, Inc.

5 Accelerated Math Libraries include an almost unlimited supply of dynamic algorithmgenerated problems for both assisted-response (multiple-choice) and free-response assignments. Fifteen libraries are available: Grade 1 Algebra Grade 2 Algebra 2 Grade 3 Geometry Grade 4 Probability & Statistics Grade 5 Pre-Calculus Grade 6 Calculus Grade 7 Basic Math Grade 8 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 Accelerated Math Second Edition Grade 6 P.O. Box 8036 Wisconsin Rapids, WI (800) Page 5 of 5 v /06/ Renaissance Learning, Inc.