All Lessons

L.5.5.B Recognize and explain the meaning of common idioms, adages, and proverbs.

L.5.2 Demonstrate command of the conventions of standard English capitalization, punctuation, and spelling when writing.

L.5.2.B Use a comma to separate an introductory element from the rest of the sentence.

L.5.2.C Use a comma to set off the words yes and no (e.g., Yes, thank you), to set off a tag question from the rest of the sentence (e.g., It's true, isn't it?), and to indicate direct address (e.g., Is that you, Steve?).

(Y6) Understand how to use banks of known words, word origins, base words, suffixes and prefixes, morphemes, spelling patterns and generalisations to learn and spell new words, for example technical words and words adopted from other languages (ACELA1526)

L.5.4.B Use common, grade-appropriate Greek and Latin affixes and roots as clues to the meaning of a word (e.g., photograph, photosynthesis).

6(2)(C) Determine the meaning and usage of grade-level academic English words derived from Greek and Latin roots such as mis/mit, bene, man, vac, scrib/script, and jur/jus.

(F) Simplify numerical expressions that do not involve exponents, including up to two levels of grouping

(Y6) Select and apply efficient mental and written strategies and appropriate digital technologies to solve problems involving all four operations with whole numbers (ACMNA123)

5.OA.1 Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols.

(E) Describe the meaning of parentheses and brackets in a numeric expression

(Y6) Explore the use of brackets and order of operations to write number sentences (ACMNA134)

5.OA.2 Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them. For example, express the calculation "add 8 and 7, then multiply by 2" as 2 × (8 + 7). Recognize that 3 × (18932 + 921) is three times as large as 18932 + 921, without having to calculate the indicated sum or product.

(E) Describe the meaning of parentheses and brackets in a numeric expression

(Y6) Select and apply efficient mental and written strategies and appropriate digital technologies to solve problems involving all four operations with whole numbers (ACMNA123)

5.OA.1 Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols.

5.OA.2 Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them. For example, express the calculation "add 8 and 7, then multiply by 2" as 2 × (8 + 7). Recognize that 3 × (18932 + 921) is three times as large as 18932 + 921, without having to calculate the indicated sum or product.

(A) Identify prime and composite numbers

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

5.OA.2.1. Express a whole number in the range 2-50 as a product of its prime factors. For example, find the prime factors of 24 and express 24 as 2 × 2 × 2 × 3.

(A) Represent the value of the digit in decimals through the thousandths using expanded notation and numerals

(Y5) Recognise that the place value system can be extended beyond hundredths (ACMNA104)

5.NBT.1 Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left.

(A) Represent the value of the digit in decimals through the thousandths using expanded notation and numerals

(Y5) Recognise that the place value system can be extended beyond hundredths (ACMNA104)

5.NBT.3.A Read and write decimals to thousandths using base-ten numerals, number names, and expanded form, e.g., 347.392 = 3 × 100 + 4 × 10 + 7 × 1 + 3 × (1/10) + 9 × (1/100) + 2 × (1/1000).

(C) Round decimals to tenths or hundredths.

(Y6) Add and subtract decimals, with and without digital technologies, and use estimation and rounding to check the reasonableness of answers (ACMNA128)

5.NBT.4 Use place value understanding to round decimals to any place.

(B) Multiply with fluency a three-digit number by a two-digit number using the standard algorithm

(Y5) Solve problems involving multiplication of large numbers by one- or two-digit numbers using efficient mental, written strategies and appropriate digital technologies (ACMNA100)

5.NBT.5 Fluently multiply multi-digit whole numbers using the standard algorithm.

(C) Solve with proficiency for quotients of up to a four-digit dividend by a two-digit divisor using strategies and the standard algorithm

5.NBT.6 Find whole-number quotients of whole numbers with up to four-digit dividends and two-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.

(C) Solve with proficiency for quotients of up to a four-digit dividend by a two-digit divisor using strategies and the standard algorithm

5.NBT.6 Find whole-number quotients of whole numbers with up to four-digit dividends and two-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.

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

(Y6) Add and subtract decimals, with and without digital technologies, and use estimation and rounding to check the reasonableness of answers (ACMNA128)

5.NBT.7 Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used.

(B) Compare and order two decimals to thousandths and represent comparisons using the symbols >, <, or =

(Y5) Compare, order and represent decimals (ACMNA105)

5.NBT.3.B Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons.

(B) Compare and order two decimals to thousandths and represent comparisons using the symbols >, <, or =

(Y5) Compare, order and represent decimals (ACMNA105)

5.NBT.3.B Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons.

(H) Determine the corresponding decimal to the tenths or hundredths place of a specified point on a number line.

5.NBT.3.B Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons.

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

(Y6) Add and subtract decimals, with and without digital technologies, and use estimation and rounding to check the reasonableness of answers (ACMNA128)

5.NBT.7 Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used.

5.NBT.7 Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used.