The Year 6 Multi-Step Problems PowerPoint guides both teachers and children through the lesson, including use of the varied fluency, reasoning and problem solving, deeper reasoning and scaffolded resources. Key learning information about this step:
Key Vocabulary
multi-step problems: Maths problems that have more than one calculation. An example may include both an addition and a subtraction.
operation: The function required to complete the calculation or problem. The four operations are: addition, subtraction, multiplication and division.
bar models: Show how numbers can be split into different parts by splitting them into bars or boxes. Bar models can be used to solve a wide variety of calculations, showing the relationship between the whole and the parts.
Varied Fluency
Knowledge Organiser
• Designed to support all children via key information and examples.
Scaffolded Examples
• Guided practice breaking a two-step problem into steps, including using a bar model to show the whole and parts.
Support
• Q1: Solve a two-step problem. Steps and bar model given.
• Q2: Choose the operations in two-step problems. Bar model given.
• Q3: Solve a three-step problem. Steps given.
Core
• Q1: Solve a two-step problem. Steps given.
• Q2: Choose the operations in two-step problems. Use of fractions and mixed numbers, or a whole and a fraction.
• Q3: Solve a three-step problem. No steps given; use of fractions and mixed numbers.
Stretch
• Q1: Solve a two-step problem. No steps given.
• Q2: Choose the operations in multi-step problems. Use of mixed numbers only, or a whole and two fractions.
• Q3: Solve a three-step problem. No steps given; use of mixed numbers only.
Reasoning and Problem Solving
Support
• Q1: Reasoning – explain whether a character has solved a two-step problem correctly, using the same denominators.
• Q2: Reasoning – decide whether a character is correct about a missing part of a bar model, using the same denominators.
• Q3: Problem Solving – complete a calculation with one number given to make a whole-number answer.
Core
• Q1: Reasoning – explain whether a character has solved a two-step problem correctly, using different denominators.
• Q2: Reasoning – decide whether a character is correct about a missing part of a bar model, using denominators that are multiples.
• Q3: Problem Solving – write three mixed numbers with different denominators to make a calculation correct.
Stretch
• Q1: Reasoning – explain whether a character has solved a two-step problem correctly, using denominators that are not multiples.
• Q2: Reasoning – decide whether a character is correct about a missing part or whole of a bar model, using denominators that are not always multiples.
• Q3: Problem Solving – write three mixed numbers with different denominators, none matching the answer’s denominator, to make a calculation correct.
Deeper Reasoning
The questions in this set focus on problem solving with fractions and mixed numbers to deepen understanding in solving multi-step problems involving fractions using common factors to simplify fractions; using common multiples to express fractions in the same denomination; adding and subtract fractions with different denominators and mixed numbers, using the concept of equivalent fractions; solving addition and subtraction multi-step problems in contexts, deciding which operations and methods to use and why; and solving problems involving addition, subtraction, multiplication and division.
