Number and Operations in Base Ten Generalize place value understanding for multi-digit whole numbers. NBT.1.1 NBT.1.2 NBT.1.3 Recognize that in a multi-digit whole number, a digit in one place represents ten times what it represents in the pace to its right. Read and write multi-digit whole numbers using base-ten numerals, number names, and expanded form. Compare two multi-digit numbers based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons. Use place value understanding to round multi-digit whole numbers to any place. NBT.2.4 Fluently add and subtract multi-digit whole numbers using the standard algorithm. Place Value, Addition, and Subtraction through the Millions August 21 - September 12 model the 10-to-1 relationship among place-value positions in the base-ten number system. read and write whole numbers through the millions in standard form, word form, and expanded form. compare and order whole numbers based on the values of the digits in each number. round a whole number to any place. rename whole numbers by regrouping. add whole numbers and determine whether solutions to addition problems are reasonable. subtract whole numbers and determine whether solutions to subtraction problems are reasonable. use the strategy draw a diagram to solve comparison problems with addition and subtraction. find ranges of numbers that are reasonable estimates. determine the appropriateness of an estimate or exact answer. 1.1 1.2 1.2 1.3 1.4 1.5 1.6 1.7 1.8 E4^ ^Enrich Book (E) Rounding Ranges 1.5 estimate, exact, expanded form, period, round, standard form, word form, compare, order, place value, reasonable, digit, sum, greater than sign >, less than sign <, regroup, addend, difference MA.4.A.6.6 Estimate and describe reasonableness of estimates: determine the appropriateness of an estimate versus an exact answer.
Algebraic Thinking Number and Operations in Base Ten OA.1.2 OA.1.1 Multiply or divide to solve word problems involving multiplicative comparison. NBT.2.5 Interpret a multiplication equation as a comparison. Represent verbal statements of multiplicative comparisons as multiplication equations. Multiply a whole number of up to four digits by a one-digit whole number, and multiply two two-digit numbers, using strategies based on place value and the properties of operations. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. Multiply by 1-Digit Numbers September 13 - October 3 relate multiplication equations and comparison statements. solve problems involving multiplicative comparison. multiply tens, hundreds, and thousands by whole numbers through 10. estimate products by rounding and determine if exact answers to multiplication problems are reasonable. use the distributive property to multiply a 2-digit number by a 1- digit number. use expanded form to multiply a multi-digit number by a 1-digit number. use place value and partial products to multiply a multi-digit number by a 1-digit number. use mental math and properties to multiply a multi-digit number by a 1-digit number. use the draw a diagram strategy to solve multi-step use regrouping to multiply a 2-digit number by a 1-digit number. use regrouping to multiply a multi-digit number by a 1-digit number. represent and solve multi-step problems using equations. 2.1 2.5 2.2 2.3 2.4 2.5 2.6 2.7 2.8 3.1 2.9 2.10 2.11 2.12 Distributive Property, partial product, Associative Property of Multiplication, equation, factor, multiply, number line, Order of Operations, product, Commutative Property of Multiplication, Identity Property of Multiplication, Zero Property of Multiplication
Number and Operations in Base Ten NBT.2.5 Multiply a whole number of up to four digits by a one-digit whole number, and multiply two two-digit numbers, using strategies based on place value and the properties of operations. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. Multiply by 2-Digit and 3-Digit Numbers October 4- October 17 use place value and multiplication properties to multiply by tens. estimate products by rounding or by using compatible numbers for multiplying up to 4-digit numbers by 2-digit numbers. use area models and partial products to multiply 2-digit numbers. use place value and partial products to multiply 2-digit numbers. use regrouping to multiply 2-digit numbers by up to 4-digit numbers. choose a method to multiply 2-digit by 2-digit, 3-digit by 2-digit by numbers and 3-digit by 3-digit numbers. use the strategy draw a diagram to solve multi-step multiplication 3.1 3.2 5.3 3.3 3.4 3.5 3.6 5.9 3.7 compatible numbers MA.4.A.1.2 Multiply multi-digit numbers through four digits fluently demonstrating understanding of the standard algorithm and checking for reasonableness of results, including solving real-world
Number and Operations in Base Ten operations to perform multi-digit arithmetic. NBT.2.6 Find whole-number quotients and remainders with up to four-digit dividends and one-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. Divide by 1-Digit Numbers October 21 - November 5 use multiples and compatible numbers to estimate quotients. use models to divide whole numbers that do not divide evenly. use remainders to solve division divide tens, hundreds, and thousands by whole numbers through 10. use the distributive property to find quotients. use repeated subtraction and multiples to find quotients. use partial quotients to divide. use base-ten blocks to model division with regrouping. solve problems by using the strategy draw a diagram. identify and model partitive and measurement division. 4.1/4.5 4.2 4.3 4.4 4.6 4.7 4.8 4.9 4.12 6.1 multiple, partial quotient, remainder, divide, dividend, division, divisor, quotient MA.4.A.6.2 Use models to represent division as: the inverse of multiplication partitioning successive subtraction November 6 - First Trimester Assessment
MA4.A.4.1 MA.4.A.4.2 OA.3.5 Generate and analyze patterns. Generate a number or shape pattern that follows a given rule. Identify apparent features of the pattern that were not explicit in the rule itself. Generate algebraic rules and use all four operations to describe patterns, including nonnumeric growing or repeating patterns. Describe mathematics relationships using expressions, equations, and visual representations. Expressions, Equations, and Patterns November 7 - November 21 identify, generate, extend, and describe the features of patterns. write numerical expressions. model and write algebraic expressions with one operation. model and write algebraic expressions with two operations. find and write a rule to describe a number relationship. solve problems by using the strategy search for patterns. model and write addition and subtraction equations. model and write multiplication and division equations. describe mathematical relationships by using equations. 5.6 3.5 3.2 3.3 3.4 3.6 3.7 3.8 3.9 3.10 pattern, term, algebraic expression, equation, function, numerical expression, rule, variable MA.4.A.4.3 Recognize and write algebraic expressions for functions with two operations. November 8 - End of First Trimester