RATIO AND
PROPORTIONS GRASPS
TEACHER'S NAME:
Grade 6 G.R.A.S.P.S Assessment
Ratios and Proportions
Students in Grade 6 will be completing a performance task using the following information:
G - The goal is to understand how the relationship between equivalence and patterns can help reveal inequalities
R - You are a company manager who is responsible for keeping track of your employees and their work schedules.
A - The five employees of the company and your manager.
S - You will be required to track 5 employees work wages using a table. You will be given their hourly wage along with their hours worked. You must then correctly
identify each workers' daily wage and weekly paycheck. To do this you will need to incorporate your knowledge of basic ratio and proportion while using division and
multiplication of fractions and mixed numbers.
P - A PowerPoint of 1-5 slides or any sized paper with a table of all 5 employees and their wages per hour. You will produce a table to show how much wages each
employee has earned on any given day and also at the end of the week as a result of the hours worked. You will show your calculations using ratios and proportions by
multiplying and dividing while incorporating fractions where needed. Comment on the discrepancy in relation to the amount of money made by each individual and suggest
possible reasons to explain it.
S - You will be assessed and judged by your teacher. The criteria will be D i,ii,iii,iv,v.
TABLE
SWEETS ROOM
EMPLOYEE
NAMES
HOURLY
WAGES
WAGES FOR:
20 HOURS
(Example:)
40 HOURS
(Last week)
2
HOURS
(Sun)
3
HOURS
(Mon)
4
HOURS
(Tue)
6
HOURS
(Wed)
8
HOURS
(Thu)
10
HOURS
(Fri)
TOTAL
EARNED
(Week
Wage)
MAIMOONA
(Age 23)
$8.00
$8.00 × 20 = $160
8x40=32
8x2=18
8x3=24
8x4=32
8x6=48
8x8=64
8x10=80
586
Ahmed
(Age 45)
$12.00
$12.00 × 20 = $240
12x40=480
12x2=24
12x3 =36
12x4=48
12x6=72
12x8=96
12x10=
120
879
JAWAHER
(Age 40)
$11.00
$11.00 × 20 = $220
11x40=440
11x2=22
11x3=33
11x4=44
11x6=66
11x8=88
11x10=
110
715
Salim
(Age 18)
$6.00
$6.00 × 20 = $120
6x40=240
6x2=12
6x3=18
6x4=24
6x6=36
6x8=48
6x10=60
438
MOZA
(Age 20)
$7.00
$7.00 × 20 = $140
7x40=280
7x2=14
7x3=21
7x4=28
7x6=42
7x8=56
7x10=70
511
WORK OUT PAGE
(SAMPLE CALCULATIONS)
EMPLOYEE
NAMES
HOURLY
WAGES
MAIMOONA $5.00
WAGES FOR:
20 HOURS
40
HOURS
2
HOURS
3
HOURS
4
HOURS
6
HOURS
8
HOURS
10
HOURS
TOTAL
EARNED
$5.00
× 20
100
200
10
15
20
30
40
60
375
$100
Criterion D: Applying mathematics in real-life contexts
Strand: i,ii,iii,iv,v
•
•
•
•
•
Command
term
Identify
Maximum: 8
identify relevant elements of authentic real-life situations
select appropriate mathematical strategies when solving authentic real-life situations
apply the selected mathematical strategies successfully to reach a solution
explain the degree of accuracy of a solution
explain whether a solution makes sense in the context of the authentic real-life situation.
Definition
Provide an answer from a number of possibilities. Recognize and
state briefly a distinguishing fact or feature.
Select
Choose from a list or group
Apply
Use knowledge and understanding in response to a given
situation or real circumstances. Use an idea, equation, principle,
theory or law in relation to a given problem or issue.
Explain
Give a detailed account including reasons or causes.
Describe
Give a detailed account or picture of a situation, event, pattern
or process.
Achievement Level
Task Specific
0
Student does not identify, select, apply or explain elements or strategies for a solution.
1-2
D.i Identifies some wages for whole number hours
D.ii Applies some mathematical strategies to find a solution for each employees working hours using ratios and
proportions with multiplication and the table with limited success
3-4
D.i Identifies the relevant wages for each employee on the table using mixed numbers for hours worked
D.ii Applies mathematical strategies to reach a solution to the proportion using ratios to multiply and use the table
D.iii States, but not always correctly, whether the solution makes sense in the context of the wages for the given hours
5-6
D.i Identifies the relevant wages for each employee on the table using mixed numbers for hours worked
D.ii Selects adequate mathematical strategies (a table and multiplication with mixed numbers) to model the wages for each
employee per hours worked
D.iii Applies the selected mathematical strategies to reach a valid solution of the wages made for the given hours by using
multiplication and the table
D.iv Describe the degree of accuracy of the solution using the table and multiplication with mixed numbers
D.v State correctly whether the solution makes sense in the context of the wages given by providing the amount earned
7-8
D.i Identifies the relevant wages for each employee on the table using fractions
D.ii Selects adequate mathematical strategies (a table and fraction multiplication) to model the wages for each employee per
hour worked
D.iii Applies the selected mathematical strategies to reach a correct solution of the wages made for each day and the total
weekly paycheck amount
D.iv Explains the degree of accuracy of the solution using the table and fraction multiplication
D.v Describes correctly whether the solution makes sense in the context of the wages they earn per hour in relation to
the amount earned daily and weekly