Subject: Math
Grade: 7
Learning Targets:
Compare and order decimals and
fractions.
Unit/Topic: Number Sets
9 Weeks: 1(i)
CSO’s/ Depth of Knowledge:
M.O.7.1.1—1
Key Vocabulary:
decimals
M.O.7.1.3—2
fractions
Calculate decimal and fraction sums,
differences, products, and quotients.
integers
rational numbers
Compare and order integers.
Enduring Understanding/ Essential Questions:
Calculate integer sums, differences,
products, and quotients.
Differentiate between rational and
irrational numbers.
Plot ordered pairs utilizing all four
quadrants of the Cartesian coordinate
plane.
irrational numbers
EU: Understand and communicate information using
the relationships of decimals, fractions, integers, and
rational/irrational numbers.
number line
EQ:
computation
1. Why do we use different forms of the same
number?
2. What are the possible comparisons of any TWO
numbers?
3. What are the keys to problem solving?
4. Is my answer reasonable?
reasonableness
Cartesian coordinate plane
page 1(i) 2
WV CSO’s/ Standards:
M.O.7.1.1 Compare, order, and differentiate among decimals, fractions, integers, rational, and irrational numbers using multiple representations(e.g.,
symbols, manipulatives, graphing on a number line).
M.O.7.1.3 Using simple computations and problem-solving situations, demonstrate fluency and justify solutions in performing operations with
rational numbers including negative numbers for: adding, subtracting, multiplying, and dividing.
Prerequisite to M.O.7.2.6: Plot and identify points within all four quadrants of the Cartesian coordinate plane.
Technology:
Strategies:
Resources:
Formative/Classroom Assessments:
Subject:
Grade:
Unit/Topic:
9 Weeks:
Subject: Math
Grade: 7
Unit/Topic: Computational Rules
9 Weeks: 1(ii)
Learning Targets:
CSO’s/ Depth of Knowledge:
Key Vocabulary:
Targets:
Evaluate Learning
using exponents.
CSO’s/ Depth of Knowledge:
Vocabulary:
absoluteKey
value
M.O.7.2.2—1
M.O.7.1.4—2
exponents
State the order of operations.
numeric expression
variable
.Simplify numeric expressions.
algebraic expression
Enduring Understanding/ Essential Questions:
Evaluate algebraic expressions.
Identify the commutative, associative,
distributive, identity, and inverse
properties.
EU: Understand the computational rules are critical
to accurately solving problems.
EQ:
Order of operations
commutative
associative
1. Why are variables used in place of numbers?
distributive
2. How do rules (e.g., order of operations) make
calculations accurate?
identity
3. How do properties make calculations easier?
inverse
page 1(ii) 2
WV CSO’s/ Standards:
M.O.7.2.2 Evaluate algebraic expressions with whole numbers, integers, absolute vale, and exponents using the order of operations.
M.O.7.1.4 Justify the use of the commutative, associative, distributive, identity, and inverse properties to simplify numeric expressions.
Technology:
Strategies:
Resources:
Formative/Classroom Assessments:
Subject:
Grade:
Unit/Topic:
9 Weeks:
Subject: Math
Grade: 7
Learning Targets:
Unit/Topic: Scientific Notation
CSO’s/ Depth of Knowledge:
9 Weeks: 1(iii)
Key Vocabulary:
positive exponents
Write numbers in scientific notation.
M.O.7.1.7—2
negative exponents
Convert numbers written in scientific
notation to standard form.
scientific notation
standard form
Enduring Understanding/ Essential Questions:
EU: Easily identify and express very large and very
small numbers.
EQ:
1. Why and how do we use scientific notation?
2. When is scientific notation necessary?
page 1(iii) 2
WV CSO’s/ Standards:
M.O.7.1.7 Solve problems using numbers in scientific notation (positive and negative exponents) with and without technology, and interpret from
real life contexts.
Technology:
Strategies:
Resources:
Formative/Classroom Assessments:
Subject:
Grade:
Unit/Topic:
9 Weeks:
Subject: Math
Grade: 7
Learning Targets:
Extract information from tables, plots,
and graphs.
Unit/Topic: Data Analysis
9 Weeks: 1(iv)
CSO’s/ Depth of Knowledge:
Key Vocabulary:
sample
M.O.7.5.3—2
M.O.7.5.4—3
Determine mean, median, mode, and
range.
population
frequency distributions
line-plots
Use measures of central tendency in
analyzing data.
multiple line graphs
Enduring Understanding/ Essential Questions:
Use dispersion in analyzing data.
box-and-whiskers plot
EU: Interpret and display statistical information.
scatter plots
EQ:
Differentiate between types of graphs and
their best uses.
1. Of what value are the measures of central
tendency?
2. What graphical representation is best for
displaying specific sets of data?
Organize data to create graphs.
3. How and where are graphs used to mislead
people?
measures of central tendency
dispersion
page 1(iv) 2
WV CSO’s/ Standards:
M.O.7.5.3 Collect, organize, graphically represent, and interpret data displays including frequency distributions, line-plots, scatter plots, box-andwhiskers plots, and multiple line graphs.
M.O.7.5.4 Analyze and solve application problems involving measures of central tendency (mean, median, mode) and dispersion (range) from data,
graphs, tables, and experiments using appropriate technology to compare two sets of data.
Technology:
Formative/Classroom Assessments:
Strategies:
Resources:
Subject: Math
Grade: 7
Unit/Topic: Squares and Roots
Learning Targets:
Use a model and a calculator to find a
square.
CSO’s/ Depth of Knowledge:
M.O.7.1.2—2
9 Weeks: 2(i)
Key Vocabulary:
perfect square
M.O.7.1.6—2
square root
Use a model and a calculator to find a
square root.
radical sign
inductive reasoning
Use pencil, paper, and modified division to
produce a square root.
Enduring Understanding/ Essential Questions:
numeric bases
EU: Utilize perfect squares to estimate square roots.
laws of exponents
EQ:
1. How are squares and square roots related?
page 2(i) 2
WV CSO’s/ Standards:
M.O.7.1.2 Model the relationship between perfect squares and square roots using physical representations; estimate square roots, and evaluate
using technology.
M.O.7.1.6 Use inductive reasoning to find and justify the laws of exponents with numeric bases.
Technology:
Formative/Classroom Assessments:
Strategies:
Resources:
Subject: Math
Grade: 7
Unit/Topic: Problem Solving with Percents
Learning Targets:
Determine percent from a model.
9 Weeks: 2(ii)
CSO’s/ Depth of Knowledge:
M.O.7.1.5—3
Key Vocabulary:
discounts
interest
Interchange percents, fractions, and
decimals.
taxes
tips
Calculate the percent of a number.
Enduring Understanding/ Essential Questions:
Calculate what percent one number is of
another.
Calculate an undetermined amount when
given a number which is a specified
percent of the undetermined amount.
EU: Apply the concept of percent in solving real world
problems.
EQ:
1. How does percent relate to a quantity?
2. How are percentages used by consumers?
3. How do simple interest and compound interest
differ?
percent of increase/decrease
page 2(ii) 2
WV CSO’s/ Standards:
M.O.7.1.5 Analyze and solve grade-appropriate real-world problems with whole numbers, decimals, fractions, integers, and percents including
problems involving: discounts, interest, taxes, tips, percent of increase or decrease, and justify solutions including estimation and reasonableness.
Technology:
Formative/Classroom Assessments:
Strategies:
Resources:
Subject: Math
Grade: 7
Unit/Topic: Reasoning with Proportions
Learning Targets:
Identify, write, and compare ratios.
9 Weeks: 2(iii)
CSO’s/ Depth of Knowledge:
M.O.7.3.4—2
Key Vocabulary:
ratio
M.O.7.3.5—2
M.O.7.2.4—3
Calculate and compare unit rates.
M.O.7.2.9—4
equivalent ratios
unit rate
proportion
Solve proportions using cross-products.
Determine a scale factor from dimensions
of an object and dimensions of its model.
Utilize the concepts of scale factor and
proportion to determine unknown
lengths.
Create a model of “dream” home using a
given scale factor.
Enduring Understanding/ Essential Questions:
cross-product
EU: The use of ratios and proportions is essential in
the world of problem solving.
scale drawing
EQ:
scale factor
1. What happens to an original object when a scale
factor is squared or cubed?
scale model
2. What types of problems can to solved using
proportions?
scale
3. Where and how are scale models used?
page 2(iii) 2
WV CSO’s/ Standards:
M.O.7.3.4 Pose and solve ratio and proportion problems including scale drawings and similar polygons.
M.O.7.3.5 Solve problems and explain the relationships among scale factor and area and volume including: square of a scale factor, cube of a scale
factor.
M.O. Analyze proportional relationships in real-world situations, select an appropriate method to determine the solution and justify reasoning for
choice of method to solve.
M.O.7.2.9 Identify a real life problem involving proportionality; make a hypothesis as to the outcome; develop, justify, and implement a method to
collect, organize, and analyze data; generalize the results to make a conclusion; compare the hypothesis and the conclusion; present the project using
words, graphs, drawings, models, or tables.
Technology:
Formative/Classroom Assessments:
Strategies:
Resources:
Subject: Math
Grade: 7
Unit/Topic: Algebra
Learning Targets:
Identify and extend patterns.
9 Weeks: 3(i)
CSO’s/ Depth of Knowledge:
M.O.7.2.1—3
Key Vocabulary:
arithmetic sequence
M.O.7.2.3—2
Determine a pattern to complete
sequences using function tables.
M.O.7.2.5—3
M.O.7.2.6—2
geometric sequence
equation
M.O.7.2.7—1
Solve one-step equations and inequalities
using various strategies.
M.O.7.2.8—3
linear equation
Enduring Understanding/ Essential Questions:
linear function
EU: Algebra can be useful in investigating patterns
and relations, and can make connections to real-world
situations.
slope
Identify and graph linear equations.
Identify nonlinear functions.
rate of change
Determine the slop of a line and recognize
constant and variable rates of change.
Read, write, and graph inequalities on a
number line.
EQ:
inequality(ies)
1. Why should we be concerned with investigating
patterns?
2. How can equations be used to describe problem
scenarios?
3. Why is it helpful to display relationships from a
problem solving point of view?
page 3(i) 2
WV CSO’s/ Standards:
M.O.7.2.1 Use inductive reasoning to find missing elements in a variety of arithmetic and geometric patterns including algebraic sequences and series.
M.O.7.2.3 Solve problems by creating an input/output function table (including, but not limited to, spreadsheets) to predict future values, given a realworld situation involving rational numbers.
M.O.7.2.5 Solve one-step linear equations and inequalities using a variety of strategies containing rational numbers with integer solutions; graph
solutions, and justify the selection of the strategy and the reasonableness of the solution.
M.O.7.2.6 Plot lines within the Cartesian coordinate plane from a table of values to solve mathematical real-world problems.
M.O.7.2.7 Determine the slope of a line from its graphical representation.
M.O.7.2.8 Represent algebraically and solve real-world application problems and justify solutions.
Technology:
Formative/Classroom Assessments:
Strategies:
Resources:
Subject: Math
Grade: 7
Unit/Topic:
Learning Targets:
9 Weeks: 3(ii)
CSO’s/ Depth of Knowledge:
M.O.7.5.1—2
Key Vocabulary:
Fundamental counting principle
M.O.7.5.2—2
event
probability
experimental
Enduring Understanding/ Essential Questions:
EU: Understanding and utilizing probability can be
very helpful in predicting future events.
EQ:
1. How can I use mathematics to predict the outcome
of games of chance?
2. How do theoretical and experimental probability
differ?
theoretical