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MIDDLE SCHOOL MATH (GRADE 7) – CURRICULUM MAP
YUPIIT SCHOOL DISTRICT
(Revised _____________________________)
UNIT I – RATIOS AND RATES –_________ WEEKS
Essential Vocabulary
* Ratio
* Rate
* Proportion
* Equivalent ratios
* Unit rate
* Scaling up
* Scaling down
* Convert
* Variables
* Means and extremes
* Solve a proportion
* Inverse operations
AK Math Standards
Learning Targets
6.RP.1, 7.RP.1, 7.RP.2 (b-c),
7.RP.3
* Identify ratios, rates and unit
rates
* Use ratios, rates and unit rates
to analyze problems
* Use ratios to make
comparisons
* Use rates and proportions to
solve mixture problems
* Write ratios, rates and
proportions
* Scale up and scale down
proportions
* Use tables to represent
equivalent ratios
* Solve proportions using unit
rates, the scaling method, the
unit rate method and the means
and extremes method
* Estimate and calculate values
using rates
* Use unit rates to determine
the best buy
Assessments & Activities
1
UNIT II – DIRECT VARIATION AND CONSTANT OF PROPORTIONALITY - __________ WEEKS
Essential Vocabulary
* Direct variation/direct
proportion
* Origin
* Constant of proportionality
AK Math Standards
7.RP.1, 7.RP.2, 7.RP.3
Learning Targets
* Determine how quantities in different
situations vary
* Use multiple representations to
explore types of variations
* Determine if the points on a graph are
equivalent ratios
* Determine the constant of
proportionality
* Solve problems using the proportional
relationship between two variables
* Determine if there is a constant of
proportionality between two variables
* Graph relationships that are directly
proportional
* Interpret the graphs of relationships
that are directly proportional
* Determine if two variables are directly
proportional or vary directly
* Interpret relationships that are direct
proportions
* Solve direct variation problems using
the equation y = kx
* Determine if relationships
represented in words, tables, equations
or graphs are directly proportional
* Interpret the meaning of direct
proportions represented in words,
tables, equations and graphs
* Determine and interpret the constant
of proportionality for variables that are
directly proportional and represented in
words, tables, equations and graphs
Assessments & Activities
MIDDLE SCHOOL MATH (GRADE 7) – CURRICULUM MAP
YUPIIT SCHOOL DISTRICT
(Revised _____________________________)
UNIT III – RATES AND PERCENTS - _________ WEEKS
Essential Vocabulary
* Percent equation
* Interest
* Principal
* Simple interest
* Percent increase/decrease
* Depreciate
* Commission
AK Math Standards
7.RP.1, 7.RP.2 (a-c), 7.RP.3
Learning Targets
* Estimate and calculate values
using rates
* Estimate and calculate the
values of percents
* Solve problems involving
percents
* Solve proportions and percent
equations
* Calculate simple interest,
percent of increase, percent of
decrease, discount of base price,
tax on a purchase, depreciation
* Solve percent problems using
direct variation
* Write equations to show the
constant of proportionality
Assessments & Activities
3
UNIT IV – ADDITION & SUBTRACTION WITH RATIONAL NUMBERS - _________ WEEKS
Essential Vocabulary
* Integer
* Additive inverses
* Zero pair
AK Math Standards
7.NS.1
Learning Targets
* Represent numbers as positive
and negative integers
* Use a model to represent the
sum of a positive and a negative
integer
* Model the addition &
subtraction of integers on a
number line
* Develop a rule for adding &
subtracting integers
* Model the addition &
subtraction of integers using
two-color counters
* Add and subtract rational
numbers
Assessments & Activities
MIDDLE SCHOOL MATH (GRADE 7) – CURRICULUM MAP
YUPIIT SCHOOL DISTRICT
(Revised _____________________________)
UNIT V – MULTIPLICATION & DIVISION WITH RATIONAL NUMBERS - _________ WEEKS
Essential Vocabulary
* Terminating decimals
* Non-terminating decimals
* Repeating decimals
* Non-repeating decimals
* Bar notation
AK Math Standards
7.NS.1d, 7.NS.2, 7.NS.3
Learning Targets
* Multiply & divide integers
* Multiply and divide rational
numbers
* Simplify arithmetic expression
using number properties and
order of operations
* Model a situation with an
expression using rational
numbers
* Evaluate rational expressions
* Use decimals and fractions to
evaluate rational expressions
* Represent fractions as
repeating decimals
Assessments & Activities
5
UNIT VI – NUMERICAL AND ALGEBRAIC EXPRESSIONS & EQUATIONS - _________ WEEKS
Essential Vocabulary
* Variable
* Algebraic expression
* Distributive property of
multiplication over addition
* Distributive property of
multiplication over subtraction
* Distributive property of division
over addition
* Distributive property of division
over subtraction
* Factor
* Common Factor
* Greatest common factor
* Coefficient
* Like terms
* Combining like terms
AK Math Standards
6.EE.6
7.EE.1, 7.EE.2,
7.NS.3
Learning Targets
* Evaluate algebraic expressions
* Write and use distributive
properties
* Use distributive properties to
simplify expressions
* Use distributive properties to
factor expressions
* Combine like terms to simplify
expressions
* Simplify algebraic expressions
* Verify that algebraic
expressions are equivalent by
graphing, simplifying and
evaluating
* Simplify algebraic expressions
using operations and their
properties
Assessments & Activities
MIDDLE SCHOOL MATH (GRADE 7) – CURRICULUM MAP
YUPIIT SCHOOL DISTRICT
(Revised _____________________________)
UNIT VII – SOLVING EQUATIONS AND INEQUALITIES - _________ WEEKS
Essential Vocabulary
* Equation
* Properties of Equality
* Two-step equation
* Solving inequality
AK Math Standards
7.EE.1, 7.EE.2, 7.EE.3, 7.EE.4
(a-b)
Learning Targets
* Use drawings to represent
daily life situations
* Develop different methods to
represent daily life situations
mathematically
* Develop an understanding of
equality
* Use properties of equality to
solve equations represented
with algebra tiles
* Solve one-step equations
* Write and solve two-step
equations
* Check solutions algebraically
* Verify solutions within a
problem context
* Write simple inequalities
* Graph & solve one-variable
inequalities
Assessments & Activities
7
UNIT VIII – SOLVING PROBLEMS WITH EQUATIONS AND INEQUALITIES - _________ WEEKS
Essential Vocabulary
* Multiplicative inverse
* Multiplying by the reciprocal
* Unit rate of change
AK Math Standards
7.EE.3, 7.EE.4(a-b)
Learning Targets
* Use different methods to
represent a problem situation
* Identify advantages and
disadvantages of using a
particular representation
* Solve two-step equations
* Write and use two-step
equations
* Compare two problem
situations
* Solve equations containing
fractions
* Solve equations with variables
on both sides
* Verify solutions within a
problem context
* Use multiple representations
to analyze problem situations
* Interpret negative solutions to
problem situations
* Identify independent and
dependent variables
* Evaluation & solve algebraic
expressions
* Calculate unit rate of change
* Interpret unit rate of change in
a problem situation
Assessments & Activities
MIDDLE SCHOOL MATH (GRADE 7) – CURRICULUM MAP
YUPIIT SCHOOL DISTRICT
(Revised _____________________________)
UNIT IX – USING GEOMETRY - _________ WEEKS
Essential Vocabulary
* Geometry
* Protractor
* Compass
* Straightedge
* Sketch
* Draw
* Construct
* Geometric Construction
* Point
* Line
* Plane
* Coplanar lines
* Skew lines
* Line segment
* Endpoint
* Arc
* Congruent
* Congruent line segments
* Intersection
* Ray
* Angle
* Sides of an angle
* Vertex
* Degrees
* Acute angle
* Right angle
* Obtuse angle
* Straight angle
* Congruent angles
* Bisect
AK Math Standards
7.G.2, 7.G.5
Learning Targets
* Sketch and draw figures
* Use a compass to construct circles
* Use geometric tools to duplicate
line segments
* Measure and construct angles
* Duplicate angles
* Bisect angles
* Review congruent angles
* Calculate the supplement of an
angle
* Calculate the complement of an
angle
* Construct a perpendicular line
* Construct a perpendicular bisector
* Construct the midpoint of a
segment
* Classify adjacent angles, linear
pairs and vertical angles
Assessments & Activities
9
* Angle bisector
* Supplementary angles
* Complementary angles
* Perpendicular
* Midpoint of a segment
* Segment bisector
* Perpendicular bisector
* Adjacent angles
* Linear pair
* Vertical angles
MIDDLE SCHOOL MATH (GRADE 7) – CURRICULUM MAP
YUPIIT SCHOOL DISTRICT
(Revised _____________________________)
UNIT X– TRIANGLES - _________ WEEKS
Essential Vocabulary
* Triangle Sum Theorem
* Remote interior angles
* Exterior Angle Theorem
* Exterior Angle Inequality
Theorem
* Geometric figures
* Congruent geometric figures
* Corresponding sides
* Corresponding angles
* Included angle
* Included side
* Triangle Inequality Theorem
AK Math Standards
7.G.2
Learning Targets
* Prove the Triangle Sum Theorem
* Explore the relationship between
the interior angle measures and the
side lengths of a triangle
* Identify the remote interior angles
of a triangle
* Identify the exterior angle of a
triangle
* Explore the relationships between
the exterior angle measures and
two remote interior angles of a
triangle
* Prove the Exterior Angle Theorem
* Prove the Exterior Angle
Inequality Theorem
* Construct triangles to determine
uniqueness
* Define congruent figures
* Determine whether figures are
congruent
* Determine whether triangles are
congruent
* Construct congruent triangles
* Explore the relationships between
the side lengths of a triangle and
the measures of its interior angles
* Prove the Triangle Inequality
Theorem
Assessments & Activities
11
UNIT XI – SCALE DRAWINGS AND SCALE FACTOR - _________ WEEKS
Essential Vocabulary
* Scale factor
* Aspect ratio
* Scale drawings
AK Math Standards
7.G.1
Learning Targets
* Use scale models to calculate
measurements
* Use scale factors to enlarge
and shrink models
* Work with applications of
similarity and scale factor
* Use scale drawings and maps
* Use scale drawings to create
three-dimensional models
* Use three-dimensional models
to create blueprints
Assessments & Activities
MIDDLE SCHOOL MATH (GRADE 7) – CURRICULUM MAP
YUPIIT SCHOOL DISTRICT
(Revised _____________________________)
UNIT XII – CIRCLES - _________ WEEKS
Essential Vocabulary
* Circle
* Center of a circle
* Radius of a circle
* Diameter of a circle
* Pi
* Inscribed circle
AK Math Standards
7.G.4
Learning Targets
* Define circle
* Identify the center, radius and
diameter of a circle
* Measure the circumference of a
circle
* Explore the relationships between
the diameter and circumference of
a circle
* Write a formula for the
circumference of a circle
* Use a formula to determine the
circumference of a circle
* Explore the circumference and
area of circles inscribed in regular
polygons
* Write a formula for the area of a
polygon in terms of the perimeter
* Explore the relationship between
the circumference of a circle and
the area of a circle
* Use the area and circumference
formulas to solve for unknown
measurements
* Use composite figures to solve for
unknown measurements
Assessments & Activities
13
UNIT XIII – SLICING THREE-DIMENSIONAL FIGURES - _________ WEEKS
Essential Vocabulary
* Cross-section
* Pyramid
* Base of a pyramid
* Lateral faces of a pyramid
* Lateral edges of a pyramid
* Vertex of a pyramid
* Height of a pyramid
* Regular pyramid
* Slant height of a pyramid
* Volume
* Surface area
AK Math Standards
7.G.3, 7.G.6
Learning Targets
*Sketch, model and describe
cross-sections formed by a plane
passing through a cube
* Sketch, model and describe
cross-sections formed by a plane
passing through a right
rectangular prism
* Sketch, model and describe
cross-sections formed by a plane
passing through a right
rectangular pyramid
* Explore the volume of a solid
* Explore the surface area of a
solid
* Create a net for a concave
polyhedron
* Explore the volume & surface
area of a pyramid
Assessments & Activities
MIDDLE SCHOOL MATH (GRADE 7) – CURRICULUM MAP
YUPIIT SCHOOL DISTRICT
(Revised _____________________________)
UNIT XIV – DATA COLLECTION - _________ WEEKS
Essential Vocabulary
* Survey
* Data
* Population
* Census
* Sample
* Parameter
* Statistic
* Random sample
* Random number generator
* Random number table
* Dot plot/line plot
* Variability
* Spread
* Range
* Mean absolute deviation
* Deviation from the mean
* Sample size
AK Math Standards
7.SP.1, 7.SP.2, 7.SP.4
Learning Targets
* Collect data from a survey and
analyze the results
* Differentiate between a census
and a sample
* Differentiate between a
parameter and a statistic
* Differentiate between a
random and non-random sample
* Use several methods to select
a random sample
* Investigate how results from a
random sample are more
reliable in representing
population
* Use sampling and proportional
reasoning to predict the value of
a population parameter
* Analyze measures of center
and measures of variation for
samples from a population
* Investigate the sample size of a
survey
* Investigate the concept that as
sample size increases, the
statistic obtained gets closer to
the actual population parameter
Assessments & Activities
15
UNIT XV – COMPARING POPULATIONS - _________ WEEKS
Essential Vocabulary
Uses vocabulary from previous
units
AK Math Standards
7.SP.2, 7.SP.3, 7.SP.4
Learning Targets
* Calculate measures of center
and measures of variability for
two populations
* Compare the differences of
measures of center for two
populations to their measures of
variability
* Compare the measures of
center for random samples from
two populations
* Use measures of center to
draw conclusions about two
populations
* Compare the measures of
variability for random samples
from two populations
* Use measures of variability to
draw conclusions about two
populations
Assessments & Activities
MIDDLE SCHOOL MATH (GRADE 7) – CURRICULUM MAP
YUPIIT SCHOOL DISTRICT
(Revised _____________________________)
UNIT XVI – INTRODUCTION TO PROBABILITY - _________ WEEKS
Essential Vocabulary
* Outcome
* Experiment
* Sample space
* Event
* Simple event
* Probability
* Equally likely
* Experimental probability
* Theoretical probability
* Simulation
* Trial
* Spreadsheet
AK Math Standards
7.SP.5, 7.SP.6, 7.SP.7 (a-b)
Learning Targets
* Differentiate between outcome and
event for an experiment
* List the sample space for an
experiment
* Determine the probability for an event
* Understand that the probability for an
event is between 0 and 1 that can be
expressed as a fraction, decimal or
percent
* Determine that the sum of the
probabilities of the outcomes of an
experiment is always 1
* Conduct trials of an experiment
* Predict the experimental probability
of an event using the results from the
trials of an experiment
* Use proportional reasoning to predict
the probability of random events
* Calculate the experimental and
theoretical probability of an experiment
* Determine the difference between
experimental and theoretical probability
* Use proportional reasoning to predict
probability of random events
* Conduct trials using a simulation to
determine probability
* Conduct a large number of trials to
demonstrate that experimental
probability approaches theoretical
probability
* Use technology to simulate a large
number of trials of an experiment
Assessments & Activities
17
UNIT XVII – PROBABILITY OF COMPOUND EVENTS - _________ WEEKS
Essential Vocabulary
* Probability model
* Uniform probability model
* Non-uniform probability model
* Tree diagram
* Complementary events
* Compound event
AK Math Standards
7.SP.7 (a-b), 7.SP.8 (a-c)
Learning Targets
* Determine probability model
for an experiment
* Construct and interpret a
uniform probability model
* Construct and interpret a nonuniform probability model
* Determine the probability
model for an experiment
* Use probability models to
calculate compound
probabilities
* Use simulations to estimate
compound probabilities
Assessments & Activities
MIDDLE SCHOOL MATH (GRADE 7) – CURRICULUM MAP
YUPIIT SCHOOL DISTRICT
(Revised _____________________________)
DISTRICT-ADOPTED TEXTBOOK: Carnegie Math Course 2, Carnegie Math Series
ADDITIONAL RESOURCES: Carnegie Math Course 2 Student Worktexts, Carnegie Cognitive Tutor Software
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