### Rectangle Ratios

A hands on activity for developing an understanding or proportionality and similar shapes.

Instructions and resources attached.

Aimed at CL5

Shared by Sandra Cathcart

### Group activity. E: Fraction of a number – word problems and one finding what’s left

There are 5 sets of cards in this sequence starting from A through to E.

Within each set, there are 4 cards. The sum of the answers to all 4 cards is recorded at the bottom of the page. If you take out the card with the dot, the sum of the other 3 cards will give a different answer which is also recorded at the bottom of the page.

You can get students into groups of 3 or 4 and they each solve one question each. Only when all group members have worked out their answer do they know if they are correct.

They can start at Set A and progress through the sequence.

A: Fraction of a number – where 1 is the numerator

B: Fraction of a number – where the numerator is not 1

C: Fraction of a number – word problems

D: Fraction of a number – word problems and one adding on

E: Fraction of a number – word problems and one finding what’s left

### Group activity. D: Fraction of a number – word problems and one adding on

There are 5 sets of cards in this sequence starting from A through to E.

Within each set, there are 4 cards. The sum of the answers to all 4 cards is recorded at the bottom of the page. If you take out the card with the dot, the sum of the other 3 cards will give a different answer which is also recorded at the bottom of the page.

You can get students into groups of 3 or 4 and they each solve one question each. Only when all group members have worked out their answer do they know if they are correct.

They can start at Set A and progress through the sequence.

A: Fraction of a number – where 1 is the numerator

B: Fraction of a number – where the numerator is not 1

C: Fraction of a number – word problems

D: Fraction of a number – word problems and one adding on

E: Fraction of a number – word problems and one finding what’s left

### Group activity. C: Fraction of a number – word problems

There are 5 sets of cards in this sequence starting from A through to E.

Within each set, there are 4 cards. The sum of the answers to all 4 cards is recorded at the bottom of the page. If you take out the card with the dot, the sum of the other 3 cards will give a different answer which is also recorded at the bottom of the page.

You can get students into groups of 3 or 4 and they each solve one question each. Only when all group members have worked out their answer do they know if they are correct.

They can start at Set A and progress through the sequence.

A: Fraction of a number – where 1 is the numerator

B: Fraction of a number – where the numerator is not 1

C: Fraction of a number – word problems

D: Fraction of a number – word problems and one adding on

E: Fraction of a number – word problems and one finding what’s left

### Group activity. B: Fraction of a number – where the numerator is not 1

There are 5 sets of cards in this sequence starting from A through to E.

Within each set, there are 4 cards. The sum of the answers to all 4 cards is recorded at the bottom of the page. If you take out the card with the dot, the sum of the other 3 cards will give a different answer which is also recorded at the bottom of the page.

You can get students into groups of 3 or 4 and they each solve one question each. Only when all group members have worked out their answer do they know if they are correct.

They can start at Set A and progress through the sequence.

A: Fraction of a number – where 1 is the numerator

B: Fraction of a number – where the numerator is not 1

C: Fraction of a number – word problems

D: Fraction of a number – word problems and one adding on

E: Fraction of a number – word problems and one finding what’s left

### Group activity. A: Fraction of a number – where 1 is the numerator

There are 5 sets of cards in this sequence starting from A through to E.

Within each set, there are 4 cards. The sum of the answers to all 4 cards is recorded at the bottom of the page. If you take out the card with the dot, the sum of the other 3 cards will give a different answer which is also recorded at the bottom of the page.

You can get students into groups of 3 or 4 and they each solve one question each. Only when all group members have worked out their answer do they know if they are correct.

They can start at Set A and progress through the sequence.

A: Fraction of a number – where 1 is the numerator

B: Fraction of a number – where the numerator is not 1

C: Fraction of a number – word problems

D: Fraction of a number – word problems and one adding on

E: Fraction of a number – word problems and one finding what’s left

### Double number lines – increase/decrease by percentage 2

Provide by Sandra Cathcart, from the Numeracy Project resources

### Double number lines – increase/decrease by percentage 1

Provide by Sandra Cathcart, from the Numeracy Project resources

### Using double number lines – finding a percentage of a quantity

Provide by Sandra Cathcart, from the Numeracy Project resources

### Double number lines powerpoint – percentages

Provided by Sandra Cathcart.