All Lessons

W.4.5 With guidance and support from peers and adults, develop and strengthen writing as needed by planning, revising, and editing. (Editing for conventions should demonstrate command of Language standards 1-3 up to and including grade 4 here.)

L.4.5.C Demonstrate understanding of words by relating them to their opposites (antonyms) and to words with similar but not identical meanings (synonyms).

L.4.1.E Form and use prepositional phrases.

(H) Solve with fluency one- and two-step problems involving multiplication and division, including interpreting remainders.

(I) Represent and solve multiplication of a whole number and a fraction that refers to the same whole using objects and pictorial models, including area models

4.OA.2 Multiply or divide to solve word problems involving multiplicative comparison, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem, distinguishing multiplicative comparison from additive comparison.

(H) Solve with fluency one- and two-step problems involving multiplication and division, including interpreting remainders.

(I) Represent and solve multiplication of a whole number and a fraction that refers to the same whole using objects and pictorial models, including area models

(Y4) Solve word problems by using number sentences involving multiplication or division where there is no remainder (ACMNA082)

(Y4) Find unknown quantities in number sentences involving addition and subtraction and identify equivalent number sentences involving addition and subtraction (ACMNA083)

4.OA.3 Solve multistep word problems posed with whole numbers and having whole-number answers using the four operations, including problems in which remainders must be interpreted. Represent these problems using equations with a letter standing for the unknown quantity. Assess the reasonableness of answers using mental computation and estimation strategies including rounding.

(H) Determine the number of objects in each group when a set of objects is partitioned into equal shares or a set of objects is shared equally

(Y5) Identify and describe factors and multiples of whole numbers and use them to solve problems (ACMNA098)

4.OA.4 Find all factor pairs for a whole number in the range 1-100. Recognize that a whole number is a multiple of each of its factors. Determine whether a given whole number in the range 1-100 is a multiple of a given one-digit number. Determine whether a given whole number in the range 1-100 is prime or composite.

(A) Estimate to determine solutions to mathematical and real-world problems involving addition, subtraction, multiplication, or division

(Y4) Develop efficient mental and written strategies and use appropriate digital technologies for multiplication and for division where there is no remainder (ACMNA076)

4.OA.3 Solve multistep word problems posed with whole numbers and having whole-number answers using the four operations, including problems in which remainders must be interpreted. Represent these problems using equations with a letter standing for the unknown quantity. Assess the reasonableness of answers using mental computation and estimation strategies including rounding.

(A) Identify prime and composite numbers

(Y6) Identify and describe properties of prime, composite, square and triangular numbers (ACMNA122)

4.OA.4 Find all factor pairs for a whole number in the range 1-100. Recognize that a whole number is a multiple of each of its factors. Determine whether a given whole number in the range 1-100 is a multiple of a given one-digit number. Determine whether a given whole number in the range 1-100 is prime or composite.

(F) Recall facts to multiply up to 10 by 10 with automaticity and recall the corresponding division facts

(D) Determine the unknown whole number in a multiplication or division equation relating three whole numbers when the unknown is either a missing factor or product

(Y4) Recall multiplication facts up to 10 × 10 and related division facts (ACMNA075)

4.OA.4 Find all factor pairs for a whole number in the range 1-100. Recognize that a whole number is a multiple of each of its factors. Determine whether a given whole number in the range 1-100 is a multiple of a given one-digit number. Determine whether a given whole number in the range 1-100 is prime or composite.

4.OA.1 Interpret a multiplication equation as a comparison, e.g., interpret 35 = 5 × 7 as a statement that 35 is 5 times as many as 7 and 7 times as many as 5. Represent verbal statements of multiplicative comparisons as multiplication equations.

4.OA.3 Solve multistep word problems posed with whole numbers and having whole-number answers using the four operations, including problems in which remainders must be interpreted. Represent these problems using equations with a letter standing for the unknown quantity. Assess the reasonableness of answers using mental computation and estimation strategies including rounding.

(A) Interpret the value of each place-value position as 10 times the position to the right and as one-tenth of the value of the place to its left

(Y4) Recognise, represent and order numbers to at least tens of thousands (ACMNA072)

4.NBT.1 Recognize that in a multi-digit whole number, a digit in one place represents ten times what it represents in the place to its right. For example, recognize that 700 ÷ 70 = 10 by applying concepts of place value and division.

(B) Represent the value of the digit in whole numbers through 1,000,000,000 and decimals to the hundredths using expanded notation and numerals

4.NBT.2 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.

(B) Represent the value of the digit in whole numbers through 1,000,000,000 and decimals to the hundredths using expanded notation and numerals

(Y4) Recognise, represent and order numbers to at least tens of thousands (ACMNA072)

4.NBT.2 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.

(C) Compare and order whole numbers to 1,000,000,000 and represent comparisons using the symbols >, <, or =

(Y4) Recognise, represent and order numbers to at least tens of thousands (ACMNA072)

4.NBT.2 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.

(D) Round whole numbers to a given place value through the hundred thousands place

4.NBT.3 Use place value understanding to round multi-digit whole numbers to any place.

(I) Determine if a number is even or odd using divisibility rules

(A) Add and subtract whole numbers and decimals to the hundredths place using the standard algorithm

(Y4) Apply place value to partition, rearrange and regroup numbers to at least tens of thousands to assist calculations and solve problems (ACMNA073)

4.NBT.4 Fluently add and subtract multi-digit whole numbers using the standard algorithm.

4.NBT.4 Fluently add and subtract multi-digit whole numbers using the standard algorithm.

(D) Use strategies and algorithms, including the standard algorithm, to multiply up to a four-digit number by a one-digit number and to multiply a two-digit number by a two-digit number. Strategies may include mental math, partial products, and the commutative, associative, and distributive properties

4.NBT.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.

(F) Use strategies and algorithms, including the standard algorithm, to divide up to a four-digit dividend by a one-digit divisor

(Y5) Solve problems involving division by a one digit number, including those that result in a remainder (ACMNA101)

4.NBT.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.