mr barton maths

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Ratio Fundamentals and Bar Models

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Foundational Skills
Identify the order of quantities in a ratio
\[ 3:5 \text{ — which is red?} \]
Identify which part of a ratio represents which quantity.
State the meaning of a ratio in context
\[ 4:7 \text{ — what does 7 mean?} \]
Explain what each part of a ratio represents.
Recognise a ratio relationship
\[ \text{Which shows a ratio?} \]
Identify multiplicative vs additive relationships.
Find the HCF of two numbers
\[ \text{HCF of } 18 \text{ and } 24 \]
Find the highest common factor of two numbers.
Bar Model Representations
Draw a bar model for a 2-part ratio
\[ 3:5 \rightarrow \text{bar model} \]
Draw a bar model with correct number of parts.
Draw a bar model for a 3-part ratio
\[ 2:3:4 \rightarrow \text{bar model} \]
Draw a bar model for a 3-part ratio.
Match a ratio to its bar model
\[ 2:5 \rightarrow \text{which model?} \]
Select the correct bar model for a ratio.
Label a bar model with a given total
\[ 3:5, \text{ total } 40 \rightarrow \text{?} \]
Find the value of one section from a total.
Label bar model sections with values
\[ 3:4, \text{ section} = 6 \]
Find totals from the value of one section.
Read a ratio from a labelled bar model
\[ \text{bar model} \rightarrow a:b \]
Interpret a bar model and write the ratio.
Writing Ratios
Write a ratio from a diagram (two quantities)
\[ \bigcirc \bigcirc : \triangle \triangle \triangle \]
Write a two-part ratio from a diagram.
Write a ratio from a diagram (three quantities)
\[ \text{red : blue : green} \]
Write a three-part ratio from a diagram.
Write a ratio from context (two parts)
\[ 12 \text{ cars}, 8 \text{ vans} \rightarrow \text{?} \]
Write a two-part ratio from a description.
Write a ratio from context (three parts)
\[ 6:9:3 \text{ (fruit bowl)} \]
Write a three-part ratio from a description.
Write a ratio from a multiplicative statement
\[ \text{“4 times as many”} \rightarrow \text{?} \]
Convert multiplicative comparisons to ratios.
Write a ratio from a bar model
\[ \text{shaded : unshaded} \]
Read a bar model and express as a ratio.
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