Year at a Glance Grade 4 Mathematics Month First Quarter August September October Concepts Taught Numbers and Operations, Algebraic Thinking Chapter 1: Place Value and Operations with Whole Numbers ● Model place value, read & write numbers, compare & order, round, rename, add & subtract numbers, problem solving comparison problems with addition & subtraction. Chapter 2: Multiply by 1-Digit Numbers ● Multiplication comparisons, multiply tens, hundreds, thousands, estimate products, multiply using distributive property, expanded forms, partial products, multiply using mental math, multiply 2, 3 & 4 digit numbers with regrouping, solve multistep problems using equations. Chapter 3: Multiply 2- Digit Numbers ● Multiply by tens, estimate products, investigate area models & partial products, multiply using partial products, regrouping, 2-digit numbers Second Quarter November December Early January Numbers and Operations, Algebraic Thinking Chapter 4: Divide by 1-Digit Numbers ● Estimate quotients using multiples, investigate & interpret remainders, divide tens, hundreds, & thousands, divide using distributive property, repeated division, partial Common Core State Standards CC.2.1.4.B.1 Apply place-value concepts to show an understanding of multi-digit whole numbers. CC.2.1.4.B.2 Use place-value understanding and properties of operations to perform multi-digit arithmetic. CC.2.2.4.A.1 Represent and solve problems involving the four operations CC.2.1.4.B.2 Use place-value understanding and properties of operations to perform multi-digit quotients, multi-step division problems Chapter 5: Factors, Multiples, and Patterns ● Model factors, factors & divisibility, problem solving with common factors, factors & multiples, prime & composite numbers, number patterns Fractions and Decimals Chapter 6: Fraction Equivalence and Comparison ● Equivalent fractions, generate equivalent fractions, simplest form, common denominators, find equivalent fractions, compare & order fractions arithmetic. CC.2.1.4.C.1 Extend the understanding of fractions to show equivalence and ordering. CC.2.2.4.A.2 Develop and/or apply number theory concepts to find factors and multiples. CC.2.2.4.A.4 Generate and analyze patterns using one rule. Third Quarter Late January February March Fractions and Decimals Chapter 7: Add and Subtract Fractions ● Add and subtract parts of a whole, write fractions as sums, add fractions using models, subtract fractions using models, add & subtract fractions, rename fractions and mixed numbers, subtraction with renaming, fractions & properties of addition, multi-step fraction problems. Chapter 8: Multiply Fractions by Whole Numbers ● Multiples of unit fractions, multiples of fractions, multiply a fraction by a whole number using models, multiply a fraction or mixed number by a whole number, problem solving, comparison problems with fractions. Chapter 9: Relate Fractions and Decimals CC.2.1.4.C.1 Extend the understanding of fractions to show equivalence and ordering. CC.2.1.4.C.2 Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers. CC.2.1.4.C.3 Connect ● Relate tenths and decimals, relate hundredths and decimals, equivalent fractions and decimals, relate fractions, decimals, and money. Add fractional parts of 10 and 100, compare decimals, problem solving with money. Gap Lessons on Collecting and Organizing Data: ➢ PA-1: Collect and Organize Data Gap Lessons on Graphs: ➢ PA-2: Investigate: Make Bar Graphs ➢ PA-3: Investigate: Make Bar Graphs ➢ PA-4: Choose an Appropriate Graph decimal notation to fractions, and compare decimal fractions (base 10 denominator, e.g., 19/100). CC.2.2.4.A.4 Generate and analyze patterns using one rule. Geometry, Measurement, and Data CC.2.3.4.A.1 Draw lines and angles and identify these in two-dimensional figures. Chapter 10: Two-Dimensional Figures ● Lines, rays, and angles, classify triangles by angles, parallel lines and perpendicular lines, classify quadrilateral, line symmetry, find & draw lines of symmetry, problem solving with shape patterns C.2.3.4.A.2 Classify two- dimensional figures by properties of their lines and angles. CC.2.3.4.A.3 Recognize symmetric shapes and draw lines of symmetry. CC.2.4.4.A.1 Solve problems involving measurement and conversions from a larger unit to a smaller unit. Fourth Quarter April May June Geometry, Measurement, and Data Chapter 11: Angles ● Angles and fractional parts of a circle, degrees, measure & draw angles, join & separate angles, problem solving with unknown angle measures. Chapter 12: Relative Sizes of Measurement Units ● Measurement benchmarks, customary and metric unit of length, weight, & liquid volume, line plots, units of time, elapsed time, mixed measures, patterns in measurement units. Chapter 13: Algebra: Perimeter and Area ● Perimeter, area, area of combined rectangles, find unknown measures, problem solving with finding area. Getting Ready for Fifth Grade Lessons CC.2.4.4.A.1 Solve problems involving measurement and conversions from a larger unit to a smaller unit. CC.2.4.4.A.2 Translate information from one type of data display to another. CC.2.4.4.A.4 Represent and interpret data involving fractions using information provided in a line plot CC.2.4.4.A.6 Measure angles and use properties of adjacent angles to solve problems.
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