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Multi Step Word Problems - Division
3 4 5 6 Pre & Primary Essentials Resources Presentations Mathematics Number & Place Value 41 Pages

Multi Step Word Problems - Division

This PowerPoint presentation features 20 differentiated multi-step division word problems designed to build students’ problem-solving and reasoning skills. Each question includes scaffolding to support mathematical thinking, and answers are provided for easy checking. Ideal for class discussions, maths groups, or review lessons.

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Learning goals

  • We are learning to solve problems involving modelling addition, subtraction, multiplication and division, using different strategies.
  • We are learning to follow and create number sentences to investigate number patterns and rules and to find emerging patterns.
  • We are learning to use a range of strategies to solve addition, subtraction, multiplication and division where there is no remainder.
  • We are learning to use estimation and rounding to check and explain calculations including transactions involving money.
  • We are learning to solve problems involving multiplication of large numbers by 1- or 2-digit numbers using efficient mental or written strategies and appropriate digital technologies, e.g. arrays.
  • We are learning to solve problems involving division using different strategies and express answers as a whole number, decimal or fraction.
  • We are learning to multiply and divide decimals by multiples of powers of 10 using our knowledge of place value and multiplication facts (times tables), to estimate and check answers.
  • We are learning to solve problems that require finding a familiar fraction, decimal or percentage of a quantity, including percentage discounts, choosing the best strategies.
  • We are learning to solve multiplication problems using mental and written strategies and calculators to check our answers.
  • We are learning to describe, continue and create number patterns and use addition and subtraction to identify the rule.
  • We are learning to use a range of strategies to solve multiplication and division where there is no remainder.
  • We are learning to solve word problems by using number sentences involving multiplication or division where there is no remainder.
  • We are learning to use estimation and rounding to check the reasonableness of answers to calculations.
  • We are learning to solve problems involving multiplication of large numbers by one or two-digit numbers using efficient mental or written strategies and appropriate digital technologies, e.g. area model, arrays and Italian Lattice Method.
  • We are learning to solve problems involving division by a one digit number, including those that result in remainders.
  • We are learning to multiply and divide decimals by powers of 10.
  • We are learning to multiply and divide decimals by whole numbers where the results are terminating decimals.
  • We are learning to find a simple fraction of a quantity where the result is a whole number, e.g. 1/3 of a number is the same as dividing by 3.
  • We are learning to investigate and calculate percentage discounts of 10%, 25% and 50% on sale items, with and without digital technologies.

Curriculum alignment

AC9M3N07 9 Follow and create algorithms involving a sequence of steps and decisions to investigate numbers; describe any emerging patterns AC9M3N06 9 Use mathematical modelling to solve practical problems involving additive and multiplicative situations including financial contexts; formulate problems using number sentences and choose calculation strategies, using digital tools where appropriate; interpret and communicate solutions in terms of the situation AC9M6N07 9 Solve problems that require finding a familiar fraction, decimal or percentage of a quantity, including percentage discounts, choosing efficient calculation strategies and using digital tools where appropriate AC9M6N06 9 Multiply and divide decimals by multiples of powers of 10 without a calculator, applying knowledge of place value and proficiency with multiplication facts; using estimation and rounding to check the reasonableness of answers AC9M5N07 9 Solve problems involving division, choosing efficient strategies and using digital tools where appropriate; interpret any remainder according to the context and express results as a whole number, decimal or fraction AC9M5N06 9 Solve problems involving multiplication of larger numbers by one- or two-digit numbers, choosing efficient calculation strategies and using digital tools where appropriate; check the reasonableness of answers AC9M4N07 9 Choose and use estimation and rounding to check and explain the reasonableness of calculations including the results of financial transactions AC9M4N06 9 Develop efficient strategies and use appropriate digital tools for solving problems involving addition and subtraction, and multiplication and division where there is no remainder ACMNA101 8.4 Solve problems involving division by a one digit number, including those that result in a remainder ACMNA130 8.4 Multiply and divide decimals by powers of 10 ACMNA129 8.4 Multiply decimals by whole numbers and perform divisions by non-zero whole numbers where the results are terminating decimals, with and without digital technologies ACMNA127 8.4 Find a simple fraction of a quantity where the result is a whole number, with and without digital technologies ACMNA132 8.4 Investigate and calculate percentage discounts of 10%, 25% and 50% on sale items, with and without digital technologies ACMNA100 8.4 Solve problems involving multiplication of large numbers by one- or two-digit numbers using efficient mental, written strategies and appropriate digital technologies ACMNA057 8.4 Represent and solve problems involving multiplication using efficient mental and written strategies and appropriate digital technologies ACMNA060 8.4 Describe, continue, and create number patterns resulting from performing addition or subtraction ACMNA076 8.4 Develop efficient mental and written strategies and use appropriate digital technologies for multiplication and for division where there is no remainder ACMNA082 8.4 Solve word problems by using number sentences involving multiplication or division where there is no remainder ACMNA099 8.4 Use estimation and rounding to check the reasonableness of answers to calculations
MA3-1WM old Describes and represents mathematical situations in a variety of ways using mathematical terminology and some conventions MA3-6NA old Selects and applies appropriate strategies for multiplication and division, and applies the order of operations to calculations involving more than one operation MA3-7NA old Compares, orders and calculates with fractions, decimals and percentages MA3-5NA old Selects and applies appropriate strategies for addition and subtraction with counting numbers of any size MA3-3WM old Gives a valid reason for supporting one possible solution over another MA3-2WM old Selects and applies appropriate problem- solving strategies, including the use of digital technologies, in undertaking investigations MA2-8NA old Generalises properties of odd and even numbers, generates number patterns, and completes simple number sentences by calculating missing values MA2-1WM old Uses appropriate terminology to describe, and symbols to represent, mathematical ideas MA2-2WM old Selects and uses appropriate mental or written strategies, or technology, to solve problems MA2-3WM old Checks the accuracy of a statement and explains the reasoning used MA2-6NA old Uses mental and informal written strategies for multiplication and division MA2-AR-02 new Completes number sentences involving addition and subtraction by finding missing values MA2-RN-01 new Applies an understanding of place value and the role of zero to represent numbers to at least tens of thousands MA3-MR-01 new Selects and applies appropriate strategies to solve multiplication and division problems MA3-MR-02 new Constructs and completes number sentences involving multiplicative relations, applying the order of operations to calculations MA3-RQF-02 new Determines 1/2, 1/4, 1/5 and 1/10 of measures and quantities MA3-RQF-01 new Compares and orders fractions with denominators of 2, 3, 4, 5, 6, 8 and 10 MA2-PF-01 new Represents and compares halves, quarters, thirds and fifths as lengths on a number line and their related fractions formed by halving (eighths, sixths and tenths) MA2-AR-01 new Selects and uses mental and written strategies for addition and subtraction involving 2- and 3-digit numbers MA2-MR-02 new Completes number sentences involving multiplication and division by finding missing values MA2-MR-01 new Represents and uses the structure of multiplicative relations to 10 × 10 to solve problems MA2-RN-02 new Represents and compares decimals up to 2 decimal places using place value MA3-GM-02 new Selects and uses the appropriate unit and device to measure lengths and distances including perimeters MA3-AR-01 new Selects and applies appropriate strategies to solve addition and subtraction problems MA3-RN-03 new Determines percentages of quantities, and finds equivalent fractions and decimals for benchmark percentage values MA3-RN-01 new Applies an understanding of place value and the role of zero to represent the properties of numbers MA3-RN-02 new Compares and orders decimals up to 3 decimal places
VCMNA184 Solve problems involving division by a one digit number, including those that result in a remainder VCMNA162 Solve word problems by using number sentences involving multiplication or division where there is no remainder VCMNA156 Develop efficient mental and written strategies and use appropriate digital technologies for multiplication and for division where there is no remainder VCMNA216 Multiply and divide decimals by powers of 10 VCMNA215 Multiply decimals by whole numbers and perform divisions by non-zero whole numbers where the results are terminating decimals, with and without digital technologies VCMNA139 Use a function machine and the inverse machine as a model to apply mathematical rules to numbers or shapes VCMNA138 Describe, continue, and create number patterns resulting from performing addition or subtraction VCMNA182 Use estimation and rounding to check the reasonableness of answers to calculations VCMNA213 Find a simple fraction of a quantity where the result is a whole number, with and without digital technologies VCMNA218 Investigate and calculate percentage discounts of 10%, 25% and 50% on sale items, with and without digital technologies VCMNA135 Represent and solve problems involving multiplication using efficient mental and written strategies and appropriate digital technologies VCMNA183 Solve problems involving multiplication of large numbers by one- or two-digit numbers using efficient mental, written strategies and appropriate digital technologies

Australian Curriculum covers QLD / SA / WA / NT / TAS / ACT.

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