Transcript Document

Operations and Algebraic Thinking
5.OA
Essential Questions:
Essential Understanding:
What symbols are present in numerical expressions? What do they
mean?
How can I represent a mathematical situation using a numerical
expression?
How are coordinate pairs formed from number sequences?
What is the relationship between the corresponding terms in a series
of ordered pairs?
Students will demonstrate the ability to write, interpret, and evaluate
simple numerical expressions. They will use many different symbols
and correct order of operation. They will be able to identify the
relationship between terms and show this relationship using an
input/output table and other visual models including a coordinate
grid.
Vocabulary:
Assessment
numerical patterns, rules, ordered pairs, coordinate plane,
Order of operations, parenthesis, brackets corresponding,
braces, evaluate, expression, equation, distributive
property, interpret
Summative: Students will be given a story problem and a variety of
models and asked to create a numerical expression that expresses the
relationship between the terms in the problem. They will evaluate the
expression and demonstrate a solution using a visual model. Students
will use two given rules to complete the pattern, identify the
relationship and then graph the results.
Guiding questions:
How can models help you make sense of ideas in mathematics?
How do graphs help you solve problems?
What is the advantage to representing situations using algebraic
expressions?
Why do patterns in math often lead to rules?
How do you apply order of operations to a problem?
Students will write numerical expressions from a written expression.
Formative:
We will be using a skills checklist as we progress through the lessons
of this unit.
Lesson
Math
Concept
Standard
Skills
Problems to
Pose
Anticipated
Errors
1
Order of operations
5.OA.A1
Using symbols correctly
Following order of
operations to evaluate
expressions
Evaluate expressions
Following the order of
operations
How do values change if
we don’t follow order of
operations
Knowing the meaning of
all the symbols
Written to expression
Write seven added to
three and doubled
Misinterpreting the
written form
(3+7) x 2
Misinterpreting the
numerical form
Simple numerical
expressions written from
evaluating the meaning
of mathematical
problems
5.OA.A2
3
Analyze patterns,
interpret the relationship
between terms to
discover patterns
5.OA.3
Generating a pattern
Writing the pattern as a
numerical expression
X + 6=y
Create an x,y table
Connecting numerical
expressions to x,y table
4
Graphing the results of
x,y table to continue
discovering patterns
5.OA.3
Identify apparent
relationships
Use coordinate grid to
graph results
Graph 2x=y and x+4=y
and use the graph to
extend the patterns
Using the coordinate grid
incorrectly, mixing up x
and y
2
Expressions to written
Identifying relationships
5
6
7