
Number & Algebra
Chapter 8 | Fractions and ratios
Teacher Resource Sheets
Equivalent fractions (page 152)
The same or different? (Teacher Resource Sheet 60)
(This sheet could be used in conjunction with the teaching on page 152.)
This displays some rectangles cut into halves, quarters, sixths, eighths and tenths and asks students to shade them so that half is shaded on all. Students are asked to fill in the missing numbers so that they get ½ = 2/4 = 3/6 = 4/8 = 5/10
Similarly, diagrams are given to show fractions equivalent to 1/3, 2/5 and ¾.
Note: You could use Printable Master - Fraction Circles to support students who have difficulty drawing equal parts.
What Benny ate (Teacher Resource Sheet 61)
(This sheet could be used in conjunction with the teaching on page 152.)
This displays a fraction wall and some equations.
It asks students to write down the letters beside the ones that are false and make a word from the letters.
Dividing a whole number into parts (page 155)
How many pieces? (Teacher Resource Sheet 62)
(This sheet could be used in conjunction with the teaching on page 155.)
This displays some pictures of cakes and pizzas etc cut into fractions.
For example three pizzas are cut into quarters and students are asked how many quarters there are in all three and to fill in the equation for this thinking.
What should Max buy? (Teacher Resource Sheet 63)
(This sheet could be used in conjunction with or prior to Activity 2 on page 155.)
This displays some fruit to cut up into pieces to find the number of pieces and then write the equation for each.
Family of facts (Teacher Resource Sheet 64)
(This sheet could be used in conjunction with Activity 2 on page 155. It will be best used after students have had some practice.)
This displays some fraction families of facts that could be used to help solve problems of the 'how many quarters in 5' type.
For example, 5 x 20 = ¼, so 5 x ¼ = 20 and ¼ ÷ 20 = 5 and 20 ÷ ¼ = 5.
Mixed numbers and improper fractions (page 157)
The change (Teacher Resource Sheet 65)
(This sheet could be used in conjunction with the teaching on page 158.)
This displays an example like the one on page 158 with changing 11/3 to a mixed fraction.
Then there is an example of 6 ¾ changed to an improper fraction.
Students have gaps to fill in.
You’re a star! (Teacher Resource Sheet 66)
(This sheet could be used prior to Activity 3 on page 158.)
This displays a four-pointed star cut into equal-sized parts and then asks students how many stars various numbers of the parts will make.
Going camping (Teacher Resource Sheet 67)
(This sheet could be used in conjunction with Activity 3 or prior to question 4 on page 158.)
This displays some problems like Activity 3 question 4.
It is not improper at all (Teacher Resource Sheet 68)
(This sheet could be used as a quick check if students can change between improper fractions and mixed numbers or prior to Activity 3 question 6 on page 159.)
This displays the instructions to two boxes of improper fractions and two boxes of mixed fractions.
Divide the class into groups and get them to race each other to change the improper fractions into mixed fractions and vice versa.
Adding & subtracting fractions with the same denominator (page 161)
Benny's Treats (Teacher Resource Sheet 69)
(This sheet could be used in conjunction with the teaching on page 161.)
This displays some diagrams for students to use to add and subtract fractions with the same denominator.
Norman on the hunt (Teacher Resource Sheet 70)
(This sheet could be used in conjunction with the teaching on page 161.)
This displays some problems with gaps for students to fill in that involve adding and subtracting fractions with mixed fraction answers.
Dividing - fraction answers (page 162 of the Student Resource Book)
Picture this (Teacher Resource Sheet 71)
(This sheet could be used in conjunction with the teaching on page 162.)
This displays some pictures of food to share.
Students are asked about ways to show the remainder.
Example: Pic of four pears to share between three people.
This shows that one pear goes to each person and then there is one pear left over which can be shared if it is cut into thirds and each person gets a third.
How long? (Teacher Resource Sheet 72)
(This sheet could be used prior to Activity 5 on page 162.)
This displays some word problems about building Benny a kennel with wood and all with fractional remainders.
Example: Max wants to cut a piece of wood 6 m long into 8 equal pieces for Benny’s kennel floor.
How many metres long is each piece?
Solving problems using equivalent ratios (page 165)
Granny’s gift (Getting started 8)
(This could be used as a warm up for Solving problems using equivalent fractions on page 165.)
This displays the Getting started on page 149.
If students use two different coloured counters to help, suggest they first work out the ratio for how much Milly and the SPCA each get, then allocate an amount that each counter is worth. They will need to determine that for each red SPCA counter, Milly will get two green counters.
Then, for example, for the $9 the SPCA would get 3 red counters to Milly’s 6 green counters.
The value of the counters can then be changed ($100 instead of $1) so that if they are working out how much Milly and SPCA will get if Granny gives $900 altogether, each counter could be worth $100. This will encourage students to use number properties rather than working with large numbers of counters or amounts of money.
You could extend this by suggesting other amounts with different ratios that Granny might have left Milly and the SPCA.
This displays some related pictures and asks students to work out the missing number.
Example: 3 nuts and 4 oranges and then 9 nuts and ? oranges.
Mula the monkey (Teacher Resource Sheet 74)
(This sheet could be used in conjunction with the teaching on page 165.)
This displays an example similar to the one on page 165 about Mula the monkey, with some questions to discuss.
Double up (Teacher Resource Sheet 75)
(This sheet could be used in conjunction with or prior to Activity 6 on page 166.)
This displays some double number lines and some problems that can be solved using them.
Students are asked about the multiplicative thinking involved in working out the missing numbers.

