3 Act Math Tasks

Organized by the Common Core States Standard (CCSS) Initiative


Practice

MP.3

Overall Expectation Description:

MP.3 – Standards of Mathematical Practice

Construct viable arguments and critique the reasoning of others.

Mathematically proficient students understand and use stated assumptions, definitions, and previously established results in constructing arguments. They make conjectures and build a logical progression of statements to explore the truth of their conjectures. They are able to analyze situations by breaking them into cases, and can recognize and use counterexamples. They justify their conclusions, communicate them to others, and respond to the arguments of others. They reason inductively about data, making plausible arguments that take into account the context from which the data arose. Mathematically proficient students are also able to compare the effectiveness of two plausible arguments, distinguish correct logic or reasoning from that which is flawed, and—if there is a flaw in an argument—explain what it is. Elementary students can construct arguments using concrete referents such as objects, drawings, diagrams, and actions. Such arguments can make sense and be correct, even though they are not generalized or made formal until later grades. Later, students learn to determine domains to which an argument applies. Students at all grades can listen or read the arguments of others, decide whether they make sense, and ask useful questions to clarify or improve the arguments.


Related 3 Act Math Tasks:

Massive Mosaic

How many tiles are there in that mosaic?



Shared By:
Kyle Pearce

Math Topic:
Multiplication, Proportional Reasoning

Common Core State Standard Alignment:

Donut Delight

How many doughnuts are there?



Shared By:
Brennan Jones
Brian Marks
Graham Fletcher
Kyle Pearce
Mike Wiernicki

Math Topic:
Multiplication, Division, Proportional Reasoning

Common Core State Standard Alignment:

Bucky the Badger

How many push-ups did Bucky have to do?



Shared By:
Dan Meyer

Math Topic:
Solve problems involving the four operations, and identify and explain patterns in arithmetic.

Common Core State Standard Alignment:

Joulies

Do you think Joulies will work as advertised?



Shared By:
Dan Meyer

Math Topic:
Use functions to model relationships between quantities.

Common Core State Standard Alignment:

Best Midpoint

Who do you think did the best job drawing the midpoint?



Shared By:
Dan Meyer

Math Topic:
Use coordinates to prove simple geometric theorems algebraically.

Common Core State Standard Alignment:

Best Triangle

Who do you think did the best job drawing an equilateral triangle?



Shared By:
Dan Meyer

Math Topic:
Use coordinates to prove simple geometric theorems algebraically.

Common Core State Standard Alignment:

Best Square

Who do you think did the best job drawing a square?



Shared By:
Dan Meyer

Math Topic:
Use coordinates to prove simple geometric theorems algebraically.

Common Core State Standard Alignment:

Best Circle

Who do you think did the best job drawing a circle?



Shared By:

Math Topic:
Use coordinates to prove simple geometric theorems algebraically.

Common Core State Standard Alignment:

Finals Week

Which drink will have the strongest caffeine concentration?



Shared By:
Dan Meyer

Math Topic:
Understand ratio concepts and use ratio reasoning to solve problems.

Common Core State Standard Alignment:


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