Standard/Grade level: AIG standard 2:
CC 7.EE.1.2.3 Use properties of operations to generate
equivalent expressions
The Revised Bloom’s Taxonomy Table
The Cognitive Process Dimension
The Knowledge
Dimension
1 Remember
2 Understand
3 Apply
A
Factual
Knowledge
What algorithm is used in
finding the percent of a number?
Explain how you can use an
algorithm to find the percent of
a number.
Apply and illustrate (show the
expression and equation) how
finding the percent of a number
is used in real world situations.
(practice page)
Recalling problem solving
strategies students will solve
real world problems using
examples with purchases, tax,
and tips.
What does it mean when a
vendor offers percentage off of
a product? How can you find the
savings? The purchase price?
Retrieve, recall, recognize, list, describe,
locate, find, bullet, bookmark, flashcards,
definition, fact, worksheet, label,
reproduce, basic search
Interpret, infer, paraphrase, summarize,
explain, show and tell, journal, blog,
categorize, tag, annotate
Retrieve relevant knowledge
from long‐term memory
B
Conceptual
Knowledge
Construct meaning from
instructional messages,
including oral, written, and
graphic communication
C
Procedural
Knowledge
Implement, use, execute, load, edit,
illustrate, simulate, present, interview,
perform, play
4 Analyze
Compare, organize, structure, report,
graph, spreadsheet, chart, database,
checklist, word process, mind maps,
publish
Organize your selected items
from least to greatest in cost
5 Evaluate
6 Create
Investigate prices of items,
when they ‘normally’ are reduced
and determine if ‘waiting on a
sale’ is good judgment..
Create a collage of advertisements
showing percents off
Justify, solve, judging, debate, chat
room, evaluate, conclude, collaborate,
network, investigate
Investigate the same item at a
different store. Are the prices
the same/different? How much?
Create a spreadsheet similar to
the one on the project syllabus
using Microsoft excel as a rough
draft
Apply the algorithms and your
findings in cost savings and
purchase prices to actual items
you would like to purchase.
Create a presentation which shows
various items and their sale price
based on percentages off.
Carry out or use a procedure
in a given situation
D
Meta Cognitive
Knowledge
Break material into its
constituent parts and
determine how the parts
relate to one another and to
an overall structure or
purpose
Generating new ideas, putting
together/combining ideas, construct, produce,
inventing, build, blog, video pod cast, direct,
record, media product, paint, advertise,
program, create a film, project, flow
charts/graphs, story with animation
Analyze how a price reduction
based on percentages reflects
the purchase price of an item.
Pose a situation in which it might
be better to pay the higher price
instead of waiting for the sale.
Standard 2: Differentiated Curriculum and Instruction
The LEA employs challenging, rigorous, and relevant curriculum and instruction K-12 to accommodate a range of academic, intellectual, social and emotional needs of gifted learners.
Practice A: Adapts the NC Standard Course of Study (now Common Core) according to identified abilities, readiness, interest, and learning profiles K-12.
Practice B: Enriches, extends and accelerates the curriculum to address a range of ability levels in language arts, math, and other content areas as appropriate.
Practice C: Employs diverse and effective instructional practices to address a range of learning needs.
Common Core for Mathematics
Using mathematical algorithms to solve real world situations.
Grade 7: Expressions and Equations 7EE, 7PR, 7 NS
7 EE.1 Apply properties of operations as strategies to add, subtract,
Students will find, define and practice equations using the algorithms for finding percents.
factor, and expand linear expressions with rational coefficients.
7 EE.2 Understand that rewriting an expressions in different forms in a
Students will find percents of a number using the algorithm/s: Discovering the same answer using different strategies.
problem context can shed light on the problem and how the quantities in
Original number x % of = ‘n’ Original price – ‘n’ = reduced number
$100.00 x 20% = $20.00 $100.00 – 20.00 = $80.00
it are related.
Original number x (100% - % of) = reduced number
$100.00 x (100%-20%=80%) $100.00 x 80% = $80.00
7 EE. 3 Solve multi-step real-life and mathematical problems posed with
Students will determine 6 items they would like to purchase. Using a spreadsheet and creative design they will find the sale price
positive and negative rational numbers in any form (whole numbers,
of the items using 20%, 25%, 50% and 75% off each of the items.
fractions, and decimals), using tools strategically. Apply properties of
Students will determine the total purchase price using 7.5% tax on the sales price.
operations to calculate with numbers in any form; convert between forms
as appropriate; and assess the reasonableness of answers using mental
computation and estimation strategies.
7 EE 4 Use variable to represent quantities in a real-world or
Students will use the algorithm for finding percents of a number showing the equation used to solve.
mathematical problem, and construct simple equations and inequalities to
solve problems by reasoning about the quantities.
7 RP 3 Use proportional relationships to solve multistep ratio and
Students will determine the percentage of each item for markdowns.
percent problems. Examples: simple interest, tax, markups and
Students will determine the cost including tax using 7.5%.
markdowns, gratuities and commissions, fees, percent increase and
decrease, percent error.
7.NS 3 Solve real world and mathematical problems involving the four
operations with rational numbers.
RP Ratio and Proportion
NS Number System
EE Expressions and Equations
Problem Based Learning project with items, markdowns and percents.