Year at a Glance Grade 5 Mathematics Month Concepts Taught Common Core State Standards First Quarter August September October Operations and Algebraic Thinking, Numbers and Operations in Base Ten Chapter 1: Place Value, Multiplication, and Expressions ● Place value and patterns, place value and whole numbers, properties, powers of 10 and exponents, multiplication patterns, multiply by 1­digit numbers, multiply by multi­digit numbers, relate multiplication to division, problem solving with multiplication and division, numerical expressions, evaluate numerical expressions, grouping symbols Chapter 2: Divide Whole Numbers ● Place the first digit, divide by 1­digit divisors, division with 2­digit divisors, partial quotients, estimation with 2­digit divisors, interpreting the remainder, adjust quotients CC.2.2.5.A.1 Interpret and evaluate numerical expressions using order of operations CC.2.1.5.B.1 Apply place­value concepts to show an understanding of operations and rounding as they pertain to whole number and decimals CC.2.1.5.B.2 Extend an understanding of operations with whole numbers to perform operations including decimals Second Quarter November December Early January Operations and Algebraic Thinking, Numbers and Operations in Base Ten Chapter 3: Add and Subtract Decimals ● Thousandths, place value of decimals, compare and order decimals, round decimals, decimal addition, decimal subtraction, estimate decimal sums and differences, patterns with decimals, problem solving with addition and subtraction of money CC.2.1.5.B.1 Apply place­value concepts to show an understanding of operations and rounding as they pertain to whole number and decimals Chapter 4: Multiply Decimals ● Multiplication patterns with decimals, multiply decimals and whole numbers, multiply using expanded form, multiply money, zeros in the product Chapter 5: Divide Decimals ● Division patterns with decimals, divide decimals by whole numbers, Estimate quotients, divide decimals, write zeros in the dividend, problem solving with decimal operations CC.2.1.5.B.2 Extend an understanding of operations with whole numbers to perform operations including decimals Third Quarter Late January February March Number and Operations with Fractions Chapter 6: Add and Subtract Fractions with Unlike Denominators ● Addition with unlike denominators, subtraction with unlike denominators, estimate fraction sums and differences, common denominators and equivalent fractions, add and subtract fractions, add and subtract mixed numbers, subtraction with renaming, patterns with fractions, practice solving problems with addition and subtraction, use properties of addition Chapter 7: Multiply Fractions ● FInd part of a group, multiply fractions and whole numbers, multiply fractions, compare fraction factors and products, area and mixed numbers, compare mixed number factors and products, multiply mixed numbers, problem solving to find unknown lengths Chapter 8: Divide Fractions ● Divide fractions and whole numbers, problem solving using multiplication, connect fractions to division, interpret division with fractions CC.2.1.5.C.1 Use the understanding of equivalency to add and subtract fractions CC.2.1.5.C.2 Apply and extend previous understandings of multiplication and division to multiply and divide fractions Fourth Quarter April Measurement / Data, Geometry CC.2.2.5.A.4 Analyze patterns and May June Chapter 9: Algebra: Patterns and Graphing ● Line plots, ordered pairs, graph data, line graphs, numerical patterns, problem solving to find a rule, graph and analyze relationships Chapter 10: Convert Units of Measure ● Customary length, customary capacity, weight, multistep measurement problems, metric measures, problem solving with customary and metric conversions, elapsed time Chapter 11: Geometry and Volume ● Polygons, triangles, quadrilaterals, three­dimensional figures, unit cubes and solid figures, understand volume, estimate volume, volume of rectangular prisms, apply volume formulas, problem solving to compare volumes, find volume of composed figures relationships using two rules CC.2.3.5.A.1 Graph points in the first quadrant on the coordinate plane and interpret these plints when solving real world and mathematical problems CC.2.3.5.A.2 Classify two­dimensional figures into categories based on an understanding of their properties CC.2.4.5.A.1 Solve problems using conversions within a given measurement system CC.2.4.5.A.2 Represent and interpret data using appropriate scale CC.2.4.5.A.4 Solve problems involving computation of fractions using information provided in a line plot CC.2.4.5.A.5 Apply concepts of volume to solve problems and relate volume to multiplication and to addition