Grade 3 Everyday Mathematics Content by Strand ® August/September October November December January February March April May/June Lessons 1䉬1–1䉬13 Lessons 2䉬1–3䉬3 Lessons 3䉬4–4䉬6 Lessons 4䉬7–5䉬8 Lessons 5䉬9–6䉬8 Lessons 6䉬9–7䉬9 Lessons 8䉬1–9䉬4 Lessons 9䉬5–10䉬3 Lessons 10䉬4–11䉬5 Practice addition facts through 10 + 10. Use basic facts to find perimeter. Practice multiplication facts. [Goal 1; Lesson 3䉬4] [Goal 3; Lesson 4䉬7] Compare differences among rainfall data to solve problems. Identify factors, products, square numbers, and patterns in the Multiplication/Division Facts Table. Generate multiplication fact families. [Goal 3; Lesson 4 8] Use multiplication facts to estimate the number of dots in a large array. [Goal 2; Lesson 5䉬10] [Goal 3; Lesson 7䉬1] Use multiplication facts to find the area of the base of a rectangular prism. Estimate answers to decimal number stories involving difference and ratio comparisons. [Goal 3; Lesson 9䉬6] [Goal 3; Lesson 10䉬5] [Goal 3; Lesson 4䉬8] [Goal 5; Lesson 5䉬10] Use the Multiplication/Division Facts Table to generate fact families. [Goal 3; Lesson 7 1] Use arrays to find square products. [Goal 6; Lesson 7 1] Identify square products. [Goal 3; Lesson 7 2] Use multiplication facts to play Multiplication Bingo. [Goal 1; Lesson 1䉬6] [Goal 2; Lesson 2䉬4] [Goal 3; Lesson 4䉬1] Use arrays to solve a multidigit multiplication problem. Find differences between pairs of numbers. Use strategies (counters, pictures, or arrays) to compute facts up to 10 3 10. Solve calculator addition an d subtraction puzzles. Explain strategies for solving number stories involving addition and subtraction. [Goal 2; Lesson 2 4] Solve addition and subtraction number stories using parts-and-total diagrams. [Goal 6; Lesson 2 4] Use basic facts to solve extended fact problems. Use a Place-Value Book to identify numbers that are 10 more (less), 1 more (less), and 0.1 more (less). Use equal sharing to solve fractional part-of-a-collection problems. [Goal 6; Lesson 8 1] Use multiplication facts to solve problems. [Goal 3; Lesson 9 1] Use strategies to solve 1-digit by multidigit multiplication problems. [Goal 4; Lesson 9 2] Use a multiplication/division diagram to show multiples of equal groups. Use multiplication facts to make estimates and calculate partial products. [Goal 3; Lesson 9 5] Use the partial-products algorithm to multiply 1-digit by multidigit numbers. [Goal 4; Lesson 9 5] Make reasonable estimates. [Goal 5; Lesson 9 5] Use multiplication facts to solve problems. Practice addition and subtraction facts. Use Fact Triangles and fact families to develop automaticity with addition and subtraction facts. [Goal 1; Lesson 2 1] Use mental arithmetic to solve problems involving the addition and subtraction of whole numbers. [Goal 2; Lesson 2 1] Use basic addition and subtraction facts to solve problems with multiples of 10 and extended fact problems. [Goal 1; Lesson 2 2] Solve calculator addition and subtraction puzzles. [Goal 2; Lesson 2 2] Use basic facts to compute extended facts. [Goal 1; Lesson 2 3] Solve multidigit number stories involving addition and subtraction. [Goal 2; Lesson 1䉬9] [Goal 1; Lessons 2䉬5, 2䉬6, 2䉬9] [Goal 6; Lesson 4䉬1] Calculate values of coin and bill combinations. Use and explain strategies to solve addition and subtraction number stories. [Goal 2; Lesson 2 5] Solve change-to-more and change-to-less multidigit addition and subtraction number stories using change diagrams. [Goal 6; Lesson 2 5] Solve multidigit number stories using comparison diagrams. Use basic facts to solve multiplication number stories. [Goal 3; Lesson 4 2] Use arrays to model multiplication. [Goal [Goal 1; Lesson 1䉬3] Use a calculator to solve multidigit addition and subtraction problems. 䉬 䉬 [Goal 2; Lesson 1䉬4] Operations and Computation 䉬 䉬 䉬 [Goal 1; Lesson 1䉬8] [Goal 2; Lesson 1䉬10] Add money amounts, count up, or find the difference to make change. [Goal 2; Lesson 1䉬11] Practice estimation skills with money amounts. [Goal 5; Lesson 1䉬11] 䉬 [Goal 1; Lesson 1䉬12] 䉬 䉬 䉬 [Goal 3; Lesson 4䉬1] Use multiplication diagrams to model number stories involving equal groups. 䉬 䉬 䉬 [Goal 4; Lesson 4䉬8] Use multiplication strategies to solve map-scale problems. [Goal 4; Lesson 4䉬9] Round whole numbers to easier numbers. [Goal 5; Lesson 5 4] 䉬 䉬 [Goal 2; Lesson 5䉬11] 䉬 䉬 䉬 䉬 [Goal 3; Lesson 7䉬3] Use multiplication facts to solve division facts. [Goal 3; Lesson 7䉬3] Use basic and extended addition and subtraction facts to solve number sentences. [Goal 1; Lesson 7 4] Use multiplication facts to solve number sentences. 䉬 䉬 [Goal 6; Lesson 9䉬2] [Goal 3; Lesson 7䉬6] Make reasonable estimates for problems involving multiplication and repeated addition. [Goal 5; Lesson 9 2] Use arrays to model multiplication. 䉬 [Goal 3; Lesson 7䉬4] Use multiplication facts. [Goal 3; Lesson 7 5] Use multiplication facts to solve problems. 䉬 [Goal 6; Lesson 9䉬8] Use calculators to solve problems involving the addition and subtraction of whole numbers. [Goal 2; Lesson 10 8] Use addition and subtraction to solve problems involving units of time. [Goal 2; Lesson 11 1] Find the difference between high and low temperatures. 䉬 䉬 Use addition facts to solve lattice multiplication problems. [Goal 6; Lessons 9䉬3, 9䉬4] [Goal 1; Lesson 9䉬9] 3; Lesson 7䉬6] Share solution strategies for solving number stories. [Goal 4; Lesson 7䉬6] [Goal 4; Lesson 9䉬4] Use multiplication facts to solve lattice multiplication problems. [Goal 3; Lesson 9 9] Explore a strategy for solving problems involving multiplication of 1-digit by multidigit numbers. [Goal 2; Lesson 2䉬8] Use basic facts to solve division problems. [Goal 3; Lesson 4 3] Use equal sharing and equal grouping to model division. [Goal 6; Lesson 4 3] Use multiplication facts to solve division problems. [Goal 3; Lesson 4 4] Use arrays and diagrams to model equal-sharing and equal-grouping number stories. [Goal 6; Lesson 4 4] Identify the quotient, dividend, divisor, and remainder. [Goal 6; Lesson 4 4] Practice multiplication facts. Use the partial-products algorithm to solve problems. Solve addition number stories with three or more addends. [Goal 3; Lesson 4䉬5] [Goal 6; Lesson 9䉬12] [Goal 2; Lesson 2䉬9] Use Fact Triangles and the Facts Table to generate multiplication and division fact families. [Goal 3; Lesson 4 6] Solve number stories involving the addition and subtraction of positive and negative numbers. 䉬 Use basic facts to solve extended fact problems with the partial-sums algorithm. [Goal 1; Lesson 2 7] Use base-10 blocks to extend the partial-sums algorithm to 3-digit addends. [Goal 2; Lesson 2 7] Make ballpark estimates as a check for reasonableness of answers. 䉬 [Goal 5; Lessons 2䉬7, 2䉬8] Use basic facts to solve extended fact problems involved in trade-first subtraction. [Goal 1; Lesson 2 8] Use base-10 blocks to model and solve subtraction problems. 䉬 Use a parts-and-total diagram to solve addition number stories involving three or more addends. [Goal 6; Lesson 2 9] Use mental arithmetic and basic facts to find the measurement of objects that are longer than a ruler. [Goal 2; Lesson 3 3] 䉬 Calculate the cost of an item. [Goal 2; Lesson 7 7] Discuss situations where it is sensible to make an estimate and those where it is sensible to compute an exact answer. [Goal 5; Lesson 7 7] Use estimation strategies to solve number stories. 䉬 䉬 䉬 Compute multiplication facts. [Goal 3; Lesson 9 10] Use addition to add partial products. 䉬 Use multiplication facts to calculate partial products. Find products of multiples of 10. [Goal 3; Lesson 7 8] Explore strategies to solve multiplication number stories. [Goal 3; Lessons 9䉬11, 9䉬12] 䉬 Use base-10 blocks and array models to find products of 2-digit by 2-digit multiples of 10. [Goal 6; Lesson 9 11] Use base-10 blocks and arrays to model multiplication. [Goal 4; Lesson 7䉬8] 䉬 䉬 Use equal groups to solve problems. [Goal 6; Lesson 7 9] 䉬 [Goal 2; Lesson 9䉬1 䉬 䉬 Count by 1s and 10s from any number. [Goal 1; Lesson 1 1] Complete number sequences. Use patterns in the Addition/Subtraction Facts Table to find basic facts. [Goal 1; Lesson 2 1] Use the turn-around rule (Commutative Property) for addition. Use arrays to write number models to find the area of rectangles. [Goal 1; Lesson 1䉬1] [Goal 4; Lesson 2䉬1] Count by 10s and 1s. Describe and extend patterns among facts and their extensions. Develop the about 3 times circle rule relating circumference and diameter. [Goal 1; Lesson 1䉬2] [Goal 1; Lesson 2䉬2] [Goal 1; Lesson 3䉬9] Describe patterns on number grids and solve number-grid puzzles. [Goal 1; Lesson 1 2] Use a number grid to solve problems. [Goal 1; Lesson 1 8] Solve problems involving number patterns. Describe rules for patterns and use them to solve problems. [Goal 1; Lesson 1䉬12] [Goal 4; Lesson 2䉬9] Patterns, Functions, and Algebra 䉬 䉬 䉬 Review and complete Framesand-Arrows diagrams. [Goal 1; Lesson 1䉬12] 䉬 [Goal 1; Lesson 2䉬3] Use the turn-around rule, the Multiplicative Identity, and the Zero Property of Multiplication to generate multiplication facts. Use the turn-around rule (Commutative Property of Multiplication) to generate multiplication facts. [Goal 4; Lesson 4䉬7] [Goal 1; Lesson 7䉬2] Write number sentences to model number stories. [Goal 2; Lessons 4 2, 4 4] Model the turn-around rule for multiplication using an array model. Explore the inverse relationship between multiplication and division. [Goal 2; Lesson 4 8] Extend patterns in a placevalue chart to find digit values. [Goal 4; Lesson 4䉬2] [Goal 1; Lesson 5䉬3] Describe and apply turn-around rule to generate multiplication facts. [Goal 4; Lesson 7 2] Solve “What’s My Rule?” problems. [Goal 1; Lesson 7 3] Write number models with parentheses to match number stories. [Goal 3; Lessons 7 4, 7 5] Apply the Associative Property of Addition to solve number sentences involving parentheses. [Goal 2; Lesson 3䉬8] 䉬 Describe rules and patterns in “What’s my Rule?” tables; use them to solve addition and subtraction problems. [Goal 1; Lesson 2 3] Write number models to summarize addition and subtraction number stories. [Goal 2; Lessons 2 4, 2 5, 2 6] Practice adding three or four numbers in a convenient order. 䉬 䉬 䉬 䉬 䉬 Use arrays to represent turn-around multiplication facts. [Goal 4; Lesson 4 5] Identify patterns in skip counting by 2s, 5s, and 10s. [Goal 1; Lesson 4 5] Use the turn-around rule, the Multiplicative Identity, and the Zero Property of Multiplication to generate multiplication facts. [Goal 4; Lesson 4 5] Look for patterns on the Facts Table. 䉬 䉬 䉬 [Goal 4; Lesson 7䉬1] Use patterning rules to find all possible combinations of pants and socks. [Goal 1; Lesson 8 3] Identify patterns and relationships between numerators and denominators of fractions. [Goal 1; Lesson 8 6] Solve number sentences involving the symbols 3, 4, and 5. [Goal 1; Lesson 9 1] Apply the Zero Property of Multiplication to finding partial products. [Goal 4; Lesson 9 4] 䉬 Describe patterns in factors and products. 䉬 䉬 䉬 䉬 [Goal 4; Lesson 7䉬4] 䉬 䉬 䉬 Apply properties of multiplication and addition to solve problems. [Goal 4; Lesson 7 5] 䉬 䉬 [Goal 1; Lesson 4䉬6] Explore the inverse relationship between multiplication and division fact families. [Goal 2; Lesson 4䉬6] Apply the turn-around rule. [Goal 4; Lesson 4䉬6] The University of Chicago School Mathematics Project Solve division problems using repeated subtraction. [Goal 2; Lesson 9䉬8] Describe number patterns. [Goal 1; Lesson 9 10] 䉬 [Goal 2; Lesson 10䉬7] Use addition and subtraction facts to solve problems. [Goal 1; Lesson 10䉬8] Use mental arithmetic to add and subtract numbers. [Goal 2; Lesson 10䉬8] 䉬 䉬 [Goal 2; Lesson 11䉬2] [Goal 2; Lessons 9䉬11, 9䉬12] [Goal 5; Lesson 7䉬7] 䉬 䉬 [Goal 4; Lesson 9䉬9] 䉬 Use multiplication facts to find customary-unit equivalencies. Add 2- and 3-digit numbers with a calculator. 䉬 Use multiplication facts to solve division problems. [Goal [Goal 6; Lesson 2䉬6] [Goal 3; Lesson 10䉬4] Use multiplication facts to find whole-number factors of a whole number. [Goal 3; Lesson 9 6] Use arrays to model whole-number factors of a whole number. [Goal 6; Lesson 9 6] Solve equal-share division stories involving money amounts. [Goal 6; Lesson 9 7] Interpret calculator displays for remainders in equalsharing and equal-grouping problems. [Goal 6; Lesson 9 8] Use equal sharing to solve division number stories. 䉬 䉬 䉬 䉬 6; Lesson 4䉬2] 䉬 䉬 Use addition and subtraction facts to complete Frames-andArrows diagrams. Use arrays to find the area of rectangles. [Goal 6; Lesson 3 7] Use multiplication facts to find the area of rectangles. [Goal 3; Lesson 3 8] Draw and use arrays to find the area of rectangles. [Goal 6; Lesson 3 8] Use facts to solve multiplication stories. 䉬 Grade 3 Everyday Mathematics Grade-Level Goals ® Number and Numeration Operations and Computation Understand the meanings, uses, and representations of numbers. Compute accurately. Goal 1: Read and write whole numbers up to 1,000,000; read, write, and model with manipulatives decimals through hundredths; identify places in such numbers and the values of the digits in those places; translate between whole numbers and decimals represented in words, in base-10 notation, and with manipulatives. Goal 2: Read, write, and model fractions; solve problems involving fractional parts of a region or a collection; describe strategies used. Goal 3: Find multiples of 2, 5, and 10. Goal 1: Demonstrate automaticity with all addition and subtraction facts through 10 ⫹ 10; use basic facts to compute fact extensions such as 80 ⫹ 70. Goal 2: Use manipulatives, mental arithmetic, paper-and-pencil algorithms, and calculators to solve problems involving the addition and subtraction of whole numbers and decimals in a money context; describe the strategies used and explain how they work. Goal 3: Demonstrate automaticity with ⫻ 0, ⫻ 1, ⫻ 2, ⫻ 5, and ⫻ 10 multiplication facts; use strategies to compute remaining facts up to 10 ⫻ 10. Goal 4: Use arrays, mental arithmetic, paper-and-pencil algorithms, and calculators to solve problems involving the multiplication of 2- and 3-digit whole numbers by 1-digit whole numbers; describe the strategies used. Understand equivalent names for numbers. Goal 4: Use numerical expressions involving one or more of the basic four arithmetic operations to give equivalent names for whole numbers. Goal 5: Use manipulatives and drawings to find and represent equivalent names for fractions; use manipulatives to generate equivalent fractions. Make reasonable estimates. Goal 5: Make reasonable estimates for whole number addition and subtraction problems; explain how the estimates were obtained. Understand common numerical relations. Goal 6: Compare and order whole numbers up to 1,000,000; use manipulatives to order decimals through hundredths; use area models and benchmark fractions to compare and order fractions. Measurement and Reference Frames Goal 1: Collect and organize data or use given data to create charts, tables, bar graphs, and line plots. Analyze and interpret data. Goal 2: Use graphs to ask and answer simple questions and draw conclusions; find the maximum, minimum, range, mode, and median of a data set. Understand and apply basic concepts of probability. Goal 3: Describe events using certain, very likely, likely, unlikely, very unlikely, impossible, and other basic probability terms; explain the choice of language. Goal 4: Predict the outcomes of simple experiments and test the predictions using manipulatives; express the probability of an event by using “__ out of __” language. Goal 6: Recognize and describe change, comparison, and parts-and-total situations; use repeated addition, arrays, and skip counting to model multiplication; use equal sharing and equal grouping to model division. Geometry Investigate characteristics and properties of 2- and 3-dimensional geometric shapes. Goal 1: Estimate length with and without tools; measure length to the nearest _12 inch and _12 centimeter; draw and describe angles as records of rotations. Goal 1: Identify and draw points, intersecting and parallel line segments and lines, rays, and right angles. Goal 2: Describe and use strategies to measure the perimeter of polygons; count unit squares to find the areas of rectangles. Goal 3: Describe relationships among inches, feet, and yards; describe relationships between minutes in an hour, hours in a day, days in a week. Goal 2: Identify, describe, model, and compare plane and solid figures including circles, polygons, spheres, cylinders, rectangular prisms, pyramids, cones, and cubes using appropriate geometric terms including the terms face, edge, vertex, and base. Apply transformations and symmetry in geometric situations. Goal 4: Tell and show time to the nearest minute on an analog clock; tell and write time in digital notation. Select and create appropriate graphical representations of collected or given data. Understand meanings of operations. Understand the systems and processes of measurement; use appropriate techniques, tools, units, and formulas in making measurements. Use and understand reference frames. Data and Chance Goal 3: Create and complete 2-dimensional symmetric shapes or designs; locate multiple lines of symmetry in a 2-dimensional shape. Patterns, Functions, and Algebra Understand patterns and functions. Goal 1: Extend, describe, and create numeric patterns; describe rules for patterns and use them to solve problems; use words and symbols to describe and write rules for functions involving addition, subtraction, and multiplication and use those rules to solve problems. Use algebraic notation to represent and analyze situations and structures. Goal 2: Read, write, and explain number sentences using the symbols ⫹, ⫺, ⫻, ⫼, ⫽, ⬎, and ⬍; solve number sentences; write expressions and number sentences to model number stories. Goal 3: Recognize that numeric expressions can have different values depending on the order in which operations are carried out; understand that grouping symbols can be used to affect the order in which operations are carried out. Goal 4: Describe and apply the Commutative and Associative Properties of Addition, the Commutative Property of Multiplication, and the Multiplicative Identity. The University of Chicago School Mathematics Project Everyday Mathematics® goals are organized here by content strand. Program Goals are shown in bold face. Numbered goals are specific to this grade level.
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