EVERYDAY MATH PACING GUIDE 2013-2014 FIFTH GRADE Implement 5 minutes of fact fluency everyday. o Netbooks o EM games o Math Facts in a Flash o Holey cards o teacher games Consult the Curriculum Framework for specific SOL topics and information American Tour Activities are optional (These could be incorporated into U.S. Geography classes). Please use Flex Days within a 9 weeks. Display Word Walls from DOE Resources. Include elapsed time in daily routine. Other topics to include on flex days: o measurement o adding and subtracting fractions o finding decimal and fraction equivalents o multi-step problem solving Consult resources such as (other resources may be used as well on flex days): o Enhanced Scope and Sequence o AIMS o VA Master Everyday Math correlation notebook which can be accessed on E-planner o Exam View o Interactive Achievement Everyday Math Rubric Conversion of RSA’s o 4 = 100% o 3 = 90% o 2 = 80% o 1 = 70% o 0 = 50% FIFTH GRADE PACING GUIDE – EVERYDAY MATHEMATICS Week 1 Dates Aug. 19-23 2 26-30 3 Sep. 3-6 4 9-13 Description SOL Focus/Topics for Remediation Acquaint students with content and organization of the Math Journal and Student Reference Book Review rectangular arrays and the use of multiplication number models to represent such arrays Review of the meanings of factor and product; factor numbers and develop automaticity with mult. Facts Review divisibility concepts Introduce divisibility rules for division by 2,3,5,6,9, and 10; Use a calculator to test for divisibility by a whole number. Introduce the classification of whole numbers as either prime or composite Introduce square numbers and the exponent on a calculator Introduce the concept of square roots; Use the square root key on a calculator 5.4 (ongoing) -Word Problems 5.10 (ongoing) -Elapsed Time Review equivalency concepts for whole numbers; introduce factor strings and prime factorization Develop estimation strategies when finding an exact answer is impractical Review place-value concepts and the use of partial-sums and column addition method Review the trade-first and partial differences methods for subtraction Review the use of mathematical models to solve number stories 5.17 (ongoing) -Patterns Lessons 1.1-1.4 5.17 (ongoing) -Patterns 1.5-1.8 5.3a,b (ongoing) -Prime/Composite -Even/Odd 1.9-2.1 2.2-2.4 5 6 7 8 9 10 11 17-20 23-27 Sep.30 -Oct.4 7-11 15-18 21-25 Oct.28 – Nov. 1 Provide experiences with estimating reaction times and with using statistical landmarks to describe data Provide experiences with making and using magnitude estimates for products of multi-digit numbers, including decimals Review the partial products method for whole numbers and decimals 5.3a,b (ongoing) -Prime/Composite -Even/Odd 2.5-2.7 Review and provide practice with the lattice method for multiplication of whole numbers and decimals Provide experience with comparing relative sizes of 1 million, 1 billion, and 1 trillion; Use a sample to make an estimate Explore data collection, organization, and interpretation 5.5 a, b (ongoing) -Word Problems with Decimals Review types of angles, geometric figures, and the use of the Geometry Template to measure and draw angles Review compass skills and explore angles formed by intersecting lines Explore triangle types and introduce methods for copying triangles Explore geometric properties of polygons Explore side and angle relationships in regular tessellations Develop an approach for finding the angle measurement sum for any polygon Review polygon attributes and vocabulary using the Geometric Template Review multiplication and division facts and apply basic facts to division with 1-digit divisors Review the partial-quotients division algorithm with whole numbers Practice with strategies for the partial-quotients algorithm Provide experience with making magnitude estimates for quotients and using the partial-quotients algorithm with decimals Practice solving division number stories and interpreting data Investigate the use of variables, review a variety of mathematics skills, and explore division concepts Review key fraction concepts; practice with solving parts-andwhole problems and finding fractional parts of whole numbers Review the whole; provide experiences with mixed-number and improper fraction concepts 5.5 a, b (ongoing) -Word Problems with decimals 5.18b,d -Create and solve open sentences 5.11 -Measure Angles 5.12 -Classify angles and triangles 5.12 -Classify angles and triangles 2.8-2.11 3.3-3.6 3.7-3.9 3.10-4.1 4.2-4.6 4.7-5.2 12 4-8 13 11-15 14 18-22 Review equivalent fractions; compare and order fractions; explore fraction addition Introduce multiplication and division rules for finding equivalent fractions Practice with renaming fractions as decimals; review rounding decimals Provide experience with several graphic models for renaming fractions as decimals Use a calculator to find decimal equivalents for fractions Discuss the meaning and uses of percents; introduce using a calculator to convert decimals to percents Review the properties and construction of bar graphs; discuss the properties of circle graphs Introduce the use of the Percent Circle to measure circle graph sectors Introduce constructing circle graphs with the use of the Percent Circle Review data landmarks and methods for organizing data 5.1 -Rounding 5.3-5.5 5.1 -Rounding 5.6-5.9 5.2 -Equivalent fractions and decimals 5.10-6.1 5.2 -Compare and Order Fractions 6.2-6.3 5.19 -Distributive Property 6.4-6.6 Develop measurement and probability concepts 15 16 17 25-26 Dec. 2-6 9-13 Introduce stem-and-leaf plots; practice measuring lengths; practice using the protractor Provide experience with data presented in line plots and stemand-leaf plots Investigate the relationship between sample size and the reliability of derived results Provide experiences with displaying and analyzing data Provide a relative distance model for the addition and subtraction of fractions Provide additional references for fraction concepts Reinforce the use of common denominators to compare, add, and subtract fractions Develop concepts related to exponential notation 5.13 -Develop definitions of plane figures 6.8-6.11 18 19 20 21 22 23 24 16-20 Jan. 6-10 13-17 21-24 Jan. 27-31 Feb. 37 10-14 Introduce number-and-word notation for large numbers and exponential notation for powers of 10 Introduce scientific notation Review the use parentheses Introduce the rules for order of operations Review the use of equivalent fractions in comparisons Develop addition concepts related to mixed numbers 5.13 - Combine and subdivide plane figures 5.7 -Order of operations Develop subtraction concepts related to mixed numbers Practice adding fractions with unlike denominators and using a calculator to solve fraction problems Introduce finding a fraction of a fraction Develop a fraction multiplication algorithm Provide experience finding the product of a whole number and a fraction Introduce multiplication with mixed numbers 5.7 -Order of operations Broaden students’ understanding of calculating percents 5.16 -Find mean, median, mode and range to include discounts Practice finding the whole, given a fraction or a percent of the whole Introduce division of fractions and mixed numbers Reinforce students’ understanding of area concepts and units of area Introduce the rectangle method for finding areas of polygons Provide experiences with the use of formulas for the area of triangles and parallelograms Reinforce the use of sampling to make estimates Provide experiences with using a formula for the volume of rectangular prisms Provide experiences with using a formula for the volume of right prisms Reinforce the relationships between liter, milliliter, and cubic centimeter 5.16 -Describe mean, median, mode 5.6 -Addition/Subtraction of fractions with mixed numbers 7.1-7.4 7.5-8.2 8.3-8.5 8.6-8.8 8.9-8.12 8.13-9.6 5.6 -Addition/Subtraction of fractions with mixed numbers 9.7-9.10 25 17-21 26 24-28 27 Mar. 3-7 28 10-14 29 24-28 30 Mar. 31 – Apr. 4 31 7-11 32 Apr. 14May 9 Introduce the pan-balance approach for solving simple equations Develop a pan-balance approach for solving sets of two equations in two unknowns Introduce the use of algebraic expressions to represent situations and describe rules Develop representational forms for rates Provide experiences with interpreting tables and graphs Provide experiences with interpreting line graphs Provide experience with comparison ratios and the use of the irrational number Introduce a formula to calculate the area of a circle Review the names and properties of geometric solids Provide experience comparing the properties of geometric solids Introduce the formula for the volume of cylinders Provide experiences with investigating the relationships between volumes of geometric solids Introduce finding the volume of irregular objects using a water displacement method Provide experience with converting measurements among units of weight, capacity, and volume Introduce finding the surface area of prisms, cylinders, and pyramids Provide experiences with finding the greatest common factor and the least common multiple of two numbers Introduce the Multiplication Counting Principle and tree diagram Provide experience with ratios of part of a set to the whole set Introduce writing number models for ratio number stories Provide experience calculating rates from data Provide experience with using graphs to represent, compare, and interpret data Provide experience with calculating rates and using rates to compare data SOL Review & SOL Test 5.8 -Area, perimeter, volume 5.8 -Equivalent measures within metric system 5.8 -Measure using US customary and metric systems 5.18 -Concept of variable 9.11-10.3 10.4-10.8 10.9-11.1 11.2-11.5 5.18 - Write and solve open 11.6-12.1 5.9 -Diameter, radius, chord, circumference 5.14 -Probability 5.15 -Stem/Leaf Plots, Line graphs 12.2-12.5 12.6-12.9