MARS Tasks | Grade 7

MARS Tasks | Grade 7

Page Name of MARS Task

* Mixing Paints * Hexagons * Pattern * Fair Game? * Yogurt

Year

2003 2003 2003 2003 2003

Math Strand

NO AF GM PS NO

Notes

Ratios, percents fractions, decimals Give rule, formula for growing pattern Find length, angles in symmetrical figure Determine fairness of coin and dice game Fractions, percents in context of profits

* Quiz * Cereal * Special Offer * Counters * Which Is Bigger?

2004 2004 2004 2004 2004

AF, NO NO NO PS GM

Interpret data, calc. scores on quiz Which cereal has higher ratio of protein Percentage of savings off reg. price Design money making game of prob. Compare height of cylinder to circumference

2 Lawn Mowing 5 Necklaces 9 Trapezoids 13 Ducklings 17 Sneakers

2005 GM 2005 AF 2005 GM 2005 PS 2005 NO

Find ratios, square yards per minute Growing pattern, formulas for beads Identify prop. of shapes, draw diff. designs Freq. chart, calculate mean number Percentage problem involving sale prices

20 Overview of 2006 Tasks 21 Square Tiles 23 Photographs 26 Pizza Crusts 29 Buying a Camera 32 Mean, Median, Mode ...

2006 2006 2006 2006 2006

NO, GM NO, GM GM NO PS

Interpret pattern, determine ratios Proportional reasoning in geometry context Find area, perimeter, circumference Percent increase/decrease in sales tax Match bar graphs to statistical tables

35 Overview of 2007 Tasks 36 Work 38 Suzi's Company 41 Journey 44 Parallelogram 47 Mystery Letters

2007 2007 2007 2007 2007

NO, AF PS AF GM AF

Connect units of time in rate problem Mean, median, mode of salaries Draw distance-time graph, find avg. speed Use cm ruler, find area, perimeter Form/solve equations in number puzzle

49 Overview of 2008 Tasks 50 Will It Happen? 52 Odd Numbers 55 Pedro's Tables 58 Winter Hat 60 Sale!

2008 2008 2008 2008 2008

PS AF, NO NP GM NO

Likelihood, numerical probability of # cube Extend pattern, square numbers Multiples, factors, prime numbers Area of circle, rectangle, trapezoid Sales discount, percent, fractions

62 Overview of 2009 Tasks 63 Toy Trains 65 Buses 68 Sequoia 71 Archery 74 Cat Food

NP=Number Properties NO=Number Operations PFA=Patterns Functions Algebra GM=Geometry & Measurement DA=Data Analysis

2009 2009 2009 2009 2009

AF AF GM DA, PS NO

Growing pattern, write algebraic expression Distance-time graph, add line to graph Circumference, volume of cone, cylinder Draw a box plot, mean, median Fractions, cost with items sold in packs

* Tasks from 2003 and 2004 are not included in this packet due to copyright restrictions. However, if you click on the name of the task, you can access it via the Noyce Foundation website. Tasks from 2005 to 2009 are available here with permission from the Mathematics Assessment Resource Service (MARS).

MARS Tasks - Grade 7

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7th grade

Student Task

Core Idea 4 Geometry and Measurement

Task 1

Lawn Mowing

Use proportional reasoning and ratios to solve a problem involving

lawn cutting.

Analyze characteristics and properties of two-dimensional geometric shapes; develop mathematical arguments about geometric relationships and apply techniques, tools, and formulas to determine measurements.

? Solve problems involving similarity and scale factors, using proportional reasoning

? Use representations to model and interpret physical, social and mathematical phenomena

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Lawn Mowing

Grade 7

Rubric

The core elements of performance required by this task are: ? solve a practical problem involving ratios ? use proportional reasoning

Based on these, credit for specific aspects of performance should be assigned as follows points

section points

1. Gives correct answer: 2,400 square yards

1 1

2. Gives correct answer: 40 square yards per minute

1

Shows work such as: (60 x 40) ? 60

1ft

2

3. Gives correct answer: 60 square yards per minute

1

Shows work such as: (60 x 40) ? 40

1ft

2

4. Gives correct answer: 24 minutes

1

Shows correct work such as:

In one minute together they mow 40 + 60 = 100 square yards

2ft

(60 x 40) ? 100

3

Total Points

8

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7th grade

Student Task

Core Idea 3 Algebra and Functions

Task 2

Necklaces

Work with a sequence of bead patterns to describe how the sequence

changes, what its size might be given a certain number of beads, and then

write a formula to determine how many of each kind of bead would be

needed for any size necklace.

Understand relations and functions, analyze mathematical situations,

and use models to solve problems involving quantity and change.

? Relate and compare different forms of representation for a relationship including words, tables, and symbols

? Express mathematical relationships using expressions and equations

? Develop conceptual understanding of different uses of variables ? Use symbolic algebra to represent situations to solve problems

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