Math Grade 7 - Huron School District

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Huron School District
Core Curriculum Guide
Unit Title:
Grade Level:
7th
Content Area:
Decimals, Algebra, Statistics
Math
Month(s): August/September
Content Standards:
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7.A.1.1 Students are able to write and evaluate algebraic expressions using the
set of whole numbers
7.A.1.2 Students are able to identify associative, commutative, distributive, and
identity properties involving algebraic expressions.
7.A.2.1 Students are able to write and solve one-step 1st degree equations, with
one variable, using the set of integers and inequalities, with one variable, using
the se of whole numbers.
7.A.3.1 Students are able to identify and graph ordered pairs on a coordinate
plane and inequalities on a number line.
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7.A.4.1 Students are able to write algebraic statements to represent patterns
observed in real life situations using tables, graphs, and models.
7.M.1.1 Students are able to select, use and convert appropriate units of
measurement for a situation including capacity and angle measurement.
7.S.1.1 Students are able to find the mean, median, mode, and range of a set of
data.
7.S.1.2 Students are able to display data, using frequency tables, line plots, stemand-leaf plots, and make predictions from data displayed in a graph.
Essential Questions:
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When should scientific notation be used?
Which measure of central tendency is most representative of a specific
set of data?
Skills
Students Will Be Able To…
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Problem solve-using story problems to demonstrate problem
solving strategies
Use powers and exponents to simplify expressions
Evaluate expressions using the order of operations
Substitute and evaluate whole numbers for variables
Recognize associative, commutative, distributive and identity
properties when evaluating expressions
Recognize and extend patterns of sequences
Select, use and convert appropriate units of measurement
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What types of data are most appropriate to be displayed in a
histogram?
How do measures of central tendency change as data values are added
to a set
Assessment
How will you know if students have
learned?
Essential Vocabulary
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Exponent
Order of Operations
Base
Operations
Variable
Coefficient
Expression
Constant
Term
Equation
Number Line
Algebra properties
Identity
Scientific Notation
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Associative
Distributive
Commutative
Arithmetic Sequences
Geometric Sequences
Metric System
Convert
Meter
Gram
Kilogram
Liter
Mass
Capacity
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Chapter review worksheets
Pre and Post tests
Frayer Model (organizer)
Metric system conversion sheet
Foldable for properties
Star Math test – program on computer
NWEA Testing
Huron School District
Core Curriculum Guide
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Calculate mean, median, mode and range for data Stem-andleaf plot
Create, display, and analyze Box-and-whisker plots, bar
graphs, and histograms
Make predictions from data displayed in a graph
Integers and Absolute value- Identify and evaluate positive
and negative numbers
Comparing and ordering integers – compare and order whole
numbers
Coordinate plane – demonstrate use of knowledge of the
coordinate plane
Add, Subtract, Multiply, Divide Integers
Grade Level:
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Statistics
Data
frequency table
Scale
Interval
Line graph
Bar graph
Histogram
Scatter plot
Line plot
Outlier
Clusters
Gaps
7th
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Content Area:
Stem-and-Leaf plots
Box-and-Whisker Plot
Lower quartile(LQ)
Upper Quartile (UQ)
Lower Extreme (LE)
Upper Extreme (UE)
Interquartile range
Mode
Measures of central
tendency
Range
Mean
Median
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Math
Chapter Worksheets
Pre and Post Testing
Writing to Win Prompts
Observations
Oral Responses
7.NS.1.a
Huron School District
Core Curriculum Guide
Grade Level:
7th
Content Area:
Unit Title: Integers and Algebra
Math
Month(s): October/November
Content Standards:
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7.A.1.1 Students are able to write and evaluate algebraic expressions using the
set of whole numbers
7.A.1.2 Students are able to identify associative, commutative, distributive, and
identity properties involving algebraic expressions.
7.A.2.1 Students are able to write and solve one-step 1st degree equations, with
one variable, using the set of integers and inequalities, with one variable, using
the se of whole numbers.
7.A.3.1 Students are able to identify and graph ordered pairs on a coordinate
plane and inequalities on a number line.
7.N.2.1. Students are able to add, subtract, multiply, and divide integers and
positive fractions.
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Essential Questions:
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Why is the absolute value of a number positive?
How can sums, differences, products, and quotients of integers be demonstrated to
be positive, zero, or negative?
Why is it important to apply properties when simplifying expressions?
When are variable expressions used?
Skills
Students Will Be Able To…
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Write algebraic equations.
Solve addition, subtraction, and multiplication of equations.
Write integers and determine absolute value of an integer.
Solve two-step equations
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using order of operations to evaluate equations
Translate and solve inequalities using whole numbers
Write expressions and equations using variables.
Solve equations using the properties of Equalities.
Solve equalities.
Represent functions using words, equations, and graphs.
Calculate the slope of a line using ordered pairs or the slope
formula.
How can algebraic expressions and equations be written?
When solving an equation, why is it important to perform identical operations on each
side of equal sign?
How is a solution to an inequality different than that of a linear equation?
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Assessment
How will you know if students have learned?
Essential Vocabulary
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7.N.3.1. Students are able to use various strategies to solve one- and two-step
problems involving positive fractions and integers.
7.A.4.1 Students are able to write algebraic statements to represent patterns
observed in real life situations using tables, graphs, and models.
7.S.1.2 Students are able to display data, using frequency tables, line plots, stemand-leaf plots, and make predictions from data displayed in a graph.
7.N.1.1. Students are able to represent numbers in a variety of forms by
describing, ordering, and comparing integers, decimals, percents, and fractions.
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Expression
Inverse operations
Inequalities
Additive property
Subtraction property
Integer
Graph
Positive integer
Negative integer
Expression
Inverse operations
Solve
Subtraction property
of equality
Addition property of
equality
Coefficient
Inequality
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Coordinate plane
Coordinate grid
Y-axis
X-axis
Inverse
Origin
Ordered pair
Y-coordinate
X-coordinate
Quadrant
Absolute value
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Two step equation
Input
Output
Function tale
Domain
Range
Linear equation
Slope
Division property of
equality
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Chapter review worksheets and tests
Frayer Model (organizer)
NWEA Test
7.NS.1a; 7.NS.1b; 7.NS.1c; 7.NS.1d; 7.NS.2a,
7.NS.2b
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7.EE.1; 7.EE.2; 7.NS.1c; 7.NS.1d; 7.NS.2a
Huron School District
Core Curriculum Guide
Grade Level:
7th
Unit Title: Fractions
Content Area:
Math
Month(s): November/December
Content Standards:
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7.N.2.1. Students are able to add, subtract, multiply, and divide integers
and positive fractions.
7.N.3.1. Students are able to use various strategies to solve one- and
two-step problems involving positive fractions and integers.
7.N.1.1. Students are able to represent numbers in a variety of forms by
describing, ordering, and comparing integers, decimals, percents, and
fractions.
7.A.2.1 Students are able to write and solve one-step 1st degree
equations, with one variable, using the set of integers and inequalities,
with one variable, using the se of whole numbers.
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7.G.1.2 Students are able to identify, describe elements of geometric
figures−altitudes, midpoints, bisectors, radii, diameters, and chords.
7.G.2.1 Students are able to demonstrate ways that shapes can be
transformed(flips/reflections, slides/translations, and turns/rotations).
7.M.1.2. Students, when given the formulas, are able to find
circumference, perimeter, and area of circles, parallelograms, triangles,
and trapezoids (whole number measurements).
7.N.1.2. Students are able to find and use common multiples and factors
of whole numbers.
7.M1.1.Students are able to select, use, and convert appropriate units of
measurement for a situation including capacity and angle measurement.
Essential Questions:
 How are fractions, decimals, and percents related?
Skills
Students Will Be Able To…
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Find prime factorization, including variables
Find greatest common factor, including variables
Simplifying fractions
o find and use multiples and factors of whole
numbers
Convert and use fractions and decimals
Convert and use fractions and percents
Convert and use percents and decimals
Find Least common multiples, including variables
Compare and order rational numbers
Manipulate fractions, percents, and decimals
Assessment
How will you know if students have
learned?
Essential Vocabulary
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Prime factorization
Factor tree
Prime number
Composite number
GCF
Simplest form
Repeating decimals
Equivalent Fractions
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Bar notation
Ratio
Percent
Multiple
LCM
LCD
Rational numbers
Terminating Decimals
Factors
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Chapter review worksheets and tests
Foldable on fractions
Star math test – no calculators
Huron School District
Core Curriculum Guide
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Estimating with fractions.
Add and subtract fractions and mixed numbers.
Multiply fractions and mixed numbers.
Solve equations with fractions,
Divide fractions and mixed numbers.
Change customary units of measurement.
Find perimeter and area using fractions.
Find circumference of a circle using fractions.
Grade Level:
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Compatible numbers
LCD
GCF
Reciprocal
Multiplicative inverse
Pound
Ounce
Ton
Cup
Pint
Estimate
Unlike fractions
7th
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Content Area:
Quart
Gallon
Perimeter
Area
Circumference
Radius
Diameter
Center
Circle
Like fractions
Mixed number
Improper fractions
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Math
Chapter Review Worksheets
Pre and Post Testing
Fraction Foldable Note taking
STAR Math Test
Huron School District
Core Curriculum Guide
Grade Level:
7th
Content Area:
Unit Title:
Proportional Reasoning
Content Standards:
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Month(s): January/February
7.N.1.1. Students are able to represent numbers in a variety of forms by
describing, ordering, and comparing integers, decimals, percents, and
fractions.
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Essential Questions:
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What makes quantities proportional?
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What is the difference between theoretical and experimental probabilities
of an event?
Skills
Students Will Be Able To…
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Write, identify and use ratios in simplest form.
Compare, identify and use rates in simplest form.
Set up and solve proportions
Convert within fractions, decimals and percents
Find and use percents greater than 100% and less than
1%
Identify percent of a number
Set up and manipulate the percent proportion
Estimate percent by using fractions and decimals
Solve problems using percent equation
Predict actions of a larger group by using a sample
Find percent of increase or decrease
Solve problems involving sales tax and discount
Solve problems involving simple interest rate
Identify simple events
Construct and use Tree diagrams
Understand and use the Fundamental counting
principle
Comprehend and use Permutations
Comprehend and use Combinations
Identify and use theoretical and experimental probability
Find probability of independent and dependent events
Math
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7.S.2.1 Students are able to calculate probability, given a sample space,
with a known number of outcomes.
7.A.3.2. Students are able to model and solve multi-step problems
involving rates.
What is the fundamental counting principle and its role in determining the
probability of compound events?
How can proportion help solve distance problems?
How can a scale factor be used in solving problems?
Essential Vocabulary
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Equivalent ratios
Ratio
Rate
Unit rate
Proportion
Scale factor
Scale model
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Percent equation
Percent of change
Percent of
increase/decrease
Survey
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Outcome
Simple event
Probability
Random
Complementary event
Tree diagram
Sample space
Cross product
Percent
Percent proportion
Part
Base
Scale
Scale drawing
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Sales tax
Discount
Simple interest
Principal
Random sample
population
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Permutation
Factorial
Combination
Experimental probability
Theoretical probability
Fundamental counting
principle
Assessment
How will you know if students have
learned?
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Chapter review worksheets
and tests
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Chapter review worksheets
and tests
NWEA Test
Huron School District
Core Curriculum Guide
Unit Title:
Grade Level:
7th
Content Area:
Geometry & Measurement
Math
Month(s): March/April
Content Standards:
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7.G.1.2 Students are able to identify, describe elements of geometric
figures−altitudes, midpoints, bisectors, radii, diameters, and chords.
7.G.2.1 Students are able to demonstrate ways that shapes can be
transformed(flips/reflections, slides/translations, and turns/rotations).
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7.M.1.2. Students, when given the formulas, are able to find
circumference, perimeter, and area of circles, parallelograms, triangles,
and trapezoids (whole number measurements).
7.G.1.1 Students will be able to identify, describe, and classify polygons
up to ten sides. Identifying relationships among triangle, quadrilaterals,
and sketching two-dimensional figures.
Essential Questions:
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How do polygons that are similar compare to polygons that are congruent?
Why can some quadrilaterals be classified in more than one category?
How does a transformation of a figure affect size, shape, and position of a figure?
How are volume and surface area related?
How does the column of a rectangular prism change when one of the attributes is increased?
Skills
Students Will Be Able To…
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Classify and illustrate angles
Construct and interpret circle graphs
Identify the classification to which a quadrilateral
belongs, using deductive reasoning and inference
Identify and classify triangles and quadrilaterals
Similar figures
Identify and sketch Polygons and tessellations
Demonstrate ways that shapes can be transformed
– translations, reflections
Essential Vocabulary
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Angles
Degrees
Vertex
Acute angles
Right angles
Obtuse angles
Straight angles
Vertical angles
Congruent angles
Supplementary angle
Complementary angle
Triangle
Acute triangle
Obtuse triangle
Right triangle
Congruent triangle
Scale
Isosceles
Equilateral
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Quadrilateral
Parallelogram
Rectangle
Square
Rhombus
Trapezoid
Similar figures
Indirect measurement
Polygons
Pentagon
Hexagon
Heptagon
Octagon
Nonagon
Decagon
Regular polygon
Transformation
Tessellation
Reflection
Translations
Line of symmetry
Assessment
How will you know if students have
learned?
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Chapter review worksheets
and tests
Dakota Step Test??
STAR Math
Huron School District
Core Curriculum Guide
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Find squares of numbers and square roots of
perfect squares
Estimate square roots
Find length using Pythagorean theorem
Calculate areas of parallelograms, triangles, circles,
and trapezoids
Find areas of complex figures
Find probability using area models
Grade Level:
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Square
Perfect squares
Square root
Radical sign
Irrational number
Leg
Complex figure
7th
Content Area:
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Probability
Hypotenuse
Pythagorean theorem
Base
Height
Trapezoid
Pi
Math
Huron School District
Core Curriculum Guide
Unit Title:
Grade Level:
7th
Content Area:
Geometry & Measurement/Pre-Algebra
Math
Month(s): May
Content Standards:
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7.G.1.2 Students are able to identify, describe elements of geometric
figures−altitudes, midpoints, bisectors, radii, diameters, and chords.
7.G.2.1 Students are able to demonstrate ways that shapes can be
transformed(flips/reflections, slides/translations, and turns/rotations).
7.M.1.2. Students, when given the formulas, are able to find
circumference, perimeter, and area of circles, parallelograms, triangles,
and trapezoids (whole number measurements).
7.G.1.1 Students will be able to identify, describe, and classify polygons
up to ten sides. Identifying relationships among triangle, quadrilaterals,
and sketching two-dimensional figures.
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Essential Questions:
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How are volume and surface area related?
How does the column of a rectangular prism change when one of the attributes is increased?
Skills
Students Will Be Able To…
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Draw a 3-D figure given top, side, front views
Find the volumes of rectangular prisms and cylinders
Find the surface area of rectangular prisms
Find surface area of cylinders
Determine and apply significant digits in a real-life
context.
Assessment
How will you know if students have learned?
Essential Vocabulary
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Solid
Volume
Cylinder
Surface area
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Circumference
Precision
Precision units
Significant digits
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Chapter review worksheets and tests
Star math test – no calculators
NWEA Test
Download