Explain that decimal numbers with tenths can be composed multiplicatively
Lesson details
Learning outcome
I can explain that decimal numbers with tenths can be represented as multiplication.
Key learning points
- A number of tenths can be represented as repeated addition and multiplication.
- Decimal numbers (tenths) greater than 1 can be represented as a multiplication equation with 0.1 as a factor.
- Decimal numbers (tenths) greater than one can be written as an improper fraction of tenths.
Keywords
Decimal number - A decimal number has a decimal point followed by digits that show the fractional part.
Equation - An equation is used to show that one number, calculation or expression is equal to another.
Factor - Factors are numbers which divide exactly into another number.
Product - The product is the result of two or more numbers multiplied together.
Common misconception
Pupils write equations involving both addition and multiplication incorrectly.
Encourage pupils to match their equation to an image provided and be clear about where the numbers in their equation come from.
Teacher tip
Ensure pupils are confident with articulating what each number in a multiplication equation represents in the context of the representation provided. For example: in the bar model.
Licence
Lesson video
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Prior knowledge starter quiz
6 Questions
Q1.Using your knowledge of the commutative law, tick the alternate multiplication equation that can also represent 3 × 7 = 21
Q2.4 + 4 + 4 can be written as multiplication expression. Tick the expressions it could represent.
Q3.Look at the picture. Fill in the missing number in this equation: 3 × ___ = 15
Q4.Write the following fraction as a decimal.
Q5.Look at the picture of eggs. It has been represented with this equation. What is the correct missing number?
Q6.Tick the equations that best represent this picture.
Assessment exit quiz
6 Questions
Q1.Look at the equation: 4 × 7 = 28. Which number is the product?
Q2.Tick the multiplication expressions that can represent: 0.1 + 0.1 + 0.1 + 0.1 + 0.1
Q3.Which equation could represent the shaded parts of this bar model?
Q4.Fill in the missing numbers in this equation that represents this bar model. 1.6 = ___ × ___
Q5.Which equation matches the bar model?
Q6.Fill in the missing number for this equation that represents this bar model.
To help you plan your 5 maths lesson on: Explain that decimal numbers with tenths can be composed multiplicatively, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your 5 maths lesson on: Explain that decimal numbers with tenths can be composed multiplicatively, download all teaching resources for free and adapt to suit your pupils' needs.
The starter quiz will activate and check your pupils' prior knowledge, with versions available both with and without answers in PDF format.
We use learning cycles to break down learning into key concepts or ideas linked to the learning outcome. Each learning cycle features explanations with checks for understanding and practice tasks with feedback. All of this is found in our slide decks, ready for you to download and edit. The practice tasks are also available as printable worksheets and some lessons have additional materials with extra material you might need for teaching the lesson.
The assessment exit quiz will test your pupils' understanding of the key learning points.
Our video is a tool for planning, showing how other teachers might teach the lesson, offering helpful tips, modelled explanations and inspiration for your own delivery in the classroom. Plus, you can set it as homework or revision for pupils and keep their learning on track by sharing an online pupil version of this lesson.
Explore more key stage 2 maths lessons from the Compose and calculate with decimals including column addition and subtraction unit, dive into the full primary maths curriculum, or learn more about lesson planning.