Download Unit Overview - Duplin County Schools

7th Grade - Unit 1 – Accentuate The Negative (22 days)
Things to Emphasize:
 Integers
 Number line
 Chip model
Standards:
Materials/Technology:
 Chips (two different colors)
 Large number line on wall is helpful
Quick Glance:
Vocabulary:
 Absolute value
Inv 1 (all): Extending the
 Additive inverse and
identify
Number System
 Algorithm
 Commutative
Inv 2 (all): Adding and
Property
Subtracting Rational
 Distributive property
Numbers
 Expanded form
 Factored form
Inv 3 (all): Multiplying and
 Integers
Dividing Rational Numbers
 Multiplicative inverse
and identity
Inv 4 (all): Properties of
 Negative
Operations
 Order of Operations
 Positive
 Rational numbers
Additional Resources:
 DPI - Lessons for Learning – James Bond
 DPI - Lessons for Learning – Sign Your Name
Evidence of Learning:
Important Notes:
 Unit Readiness Assessment
 A large number line (vertical
or horizontal) on the wall is
 2 Check Ups
an awesome tool to reference
 1 Partner Quiz
throughout the whole year
 1 Unit Test
 1 Unit Project
 1 Self Assessment
 1 School Net Assessment Named: 7th Grade –
Accentuate the Negative
7.NS.1 Apply and extend previous understandings of addition and subtraction to add and
subtract rational numbers; represent addition and subtraction on a horizontal or vertical line.
7.NS.2 Apply and extend previous understandings of multiplication and division and of
fractions to multiply and divide rational numbers.
7.NS.3 Solve real-world and mathematical problems involving the four operations with
rational numbers.
7.EE.1 Apply properties of operations as strategies to add, subtract, factor, and expand linear
expressions with rational coefficients.
7.EE.4 Use variables to represent quantities in a real-world or mathematical problem, and
construct simple equations and inequalities to solve problems by reasoning about the
quantities.
7th Grade - Unit 2 – Moving Straight Ahead (20 days)
Things to Emphasize:
 Expressions – writing, simplifying, and evaluating
 Equations – writing and solving
 Inequalities – writing and solving
Standards:
Materials/Technology:

Additional Resources:
 DPI - Lessons for Learning – Number Tricks
 DPI - Lessons for Learning - Sweet Algebra
Evidence of Learning:
Important Notes:
 Unit Readiness Assessment
 Make sure students get ample
practice solving equations,
 2 Check Ups
they will have opportunites to
 1 Partner Quiz
practice throughout the
 1 Unit Project
school year, but this lays the
 1 Unit Test
foudnations
 1 Unit Project
 1 School Net Assessment Named: 7th Grade – Moving
Straight Ahead
Quick Glance:
Supplemental: Review of
Expressions
Inv 3 (all but 3.5): Solving
Equations
Supplemental: Solving
Inequalities
Supplemental: Writing
Equations and Inequalities
Vocabulary:
 Coefficient
 Constant term
 Dependent variable
 Equation
 Equivalent
 Evaluate
 Expression
 Independent variable
 Inequality
 Like terms
 Linear relationship
 Proportional
relationship
 Variable
7.RP.2 – Recognize and represent proportional relationships between quantities.
7.EE.1 – Apply properties of operations as strategies to add, subtract, factor, and
expand linear expressions with rational coefficients.
7.EE.2 – Understand that rewriting an expression in different forms in a problem
context can shed light on the problem and how the quantities in it are related.
7.EE.3 – Solve multi-step real-life and mathematical problems posed with positive
and negative ration numbers in any form.
7.EE.4 – Use variables to represent quantities in a real-world or mathematical
problem, and construct simple equations and inequalities to solve problems by
reasoning about the quantities.
7th Grade - Unit 3 – Stretching and Shrinking (20 days)
Things to Emphasize:
 Similarity
 Scale factor
 Proportional relationships
Standards:
Materials/Technology:
 Similar real life objects
 Rulers
 Shapes set
Quick Glance:
Vocabulary:
 Adjacent sides
Inv 1 (all): Enlarging and
 Corresponding
Reducing Shapes
sides and angles
 Equivalent ratios
Inv 2 (all): Similar Figures
 Midpoint
 Nested triangles
Inv 3 (all): Scaling Perimeter
 Ordered pair
and Area
 Proportion
 Ratio
Inv 4 (all): Similarity and
 Scale factor
Ratios
 Similar
Additional Resources:
 DPI - Lessons for Learning – Murphy to Manteo
7.RP.2 – Recognize and represent proportional relationships between quantities.
7.RP.3 – Use proportional relationships to solve multistep ratio and percent
problems.
7.NS.3 – Solve real-world mathematical problems involving the four operations with
rational numbers. (Extend to complex fractions)
7.EE.4 – Use variables to represent quantities in a real-world or mathematical
problem, and construct simple equations and inequalities to solve problems by
reasoning about the quantities.
7.G.1 – Solve problems involving scale drawings of geometric figures, including
computing actual lengths and areas from a scale drawing and reproducing a scale
drawing at a different scale.
7.G.2 – Draw geometric shapes with given conditions, focus on constructing
triangles.
Evidence of Learning:
 Unit Readiness Assessment
 2 Check Ups
 1 Partner Quiz
 1 Unit Project
 1 Unit Test
 1 Unit Project
 1 School Net Assessment Named: 7th Grade –
Stretching and Shrinking
Important Notes:

7th Grade - Unit 4 – Comparing and Scaling (18 days)
Things to Emphasize:
 Proportionality in graph, table, and equation
 Scaling
 Equivalent ratios
 Unit rate
Standards:
Materials/Technology:
 Grid Paper
 Calculators
Quick Glance:
Additional Resources:

Inv 1 (all): Ways of
Comparing: Ratios and
Proportions
Inv 2 (all): Comparing and
Scaling Rates
Inv 3 (3.1, 3.2): Using Ratios,
Percents, and Proportions
Vocabulary:
 Commission
 Complex fractions
 Constant of










proportionality
Discount
Gratuity/tax
Part-to-part ratio
Part-to-whole ratio
Percent of change
Proportion
Rate
Ratio
Simple interest
Unit rate
7.RP.1 – Compute unit rates associated with ratios of fractions, including ratios of
lengths, areas, and other quantities measured in like or different units.
7.RP.2 – Recognize and represent proportional relationships between quantities.
7.RP.3 – Use proportional relationships to solve multistep ratio and percent
problems.
7.NS.3 – Solve real-world mathematical problems involving the four operations with
rational numbers. (Extend to complex fractions)
Evidence of Learning:
 Unit Readiness Assessment
 1 Check Up
 1 Partner Quiz
 1 Unit Project
 1 Unit Test
 1 Unit Project
 1 School Net Assessment Named: 7th Grade –
Comparing and Scaling
Important Notes:
 Tax, commissions, etc. are one
of the most applicable areas of
math that students will see on
a regular basis
7th Grade - Unit 5 – Shapes and Design (20 days)
Things to Emphasize:
 Supplementary, complementary, vertical and
adjacent angles
 Interior and exterior angles of polygons
Standards:
Materials/Technology:
 Polystrips
 Protractors and rules
 Shapes set
Quick Glance:
Additional Resources:

Inv 1 (all): The Family of
Polygons
Inv 2 (all): Designing
Polygons: The Angle
Connection
Inv 3 (3.1, 3.2, 3.4):
Designing Triangles and
Quadrilaterals
Vocabulary:
 Adjacent angles
 Complementary










angles
Degree
Exterior angles
Interior angles
Parallel
Perpendicular
Quadrilaterals
Supplementary
angles
Symmetry
Triangles (types)
Vertical angles
7.G.2 Draw (freehand, with ruler and protractor, and with technology) geometric shapes with
given conditions.
7.G.5 Use facts about supplementary, complementary, vertical, and adjacent angles in a multistep problem to write and solve simple equations for an unknown angle in a figure.
7.EE.2 Understand that rewriting an expression in different forms in a problem context can
shed light on the problem an dhow the quantities in it are related.
7.EE.4 Use variables to represent quantities in a real-world or mathematical problem, and
construct simple equations and inequalities to solve problems by reasoning about the
quantities.
Evidence of Learning:
 Unit Readiness Assessment
 1 Check Up
 1 Partner Quiz
 1 Unit Test
 1 Unit Project
 1 School Net Assessment Named: 7th Grade – Shapes
and Design
Important Notes:

7th Grade - Unit 6 – Filling and Wrapping (25 days)
Things to Emphasize:
 Volume
 Surface Area
 Circle – Circumference and Area
Standards:
Materials/Technology:

Additional Resources:
 DPI Lessons for Learning – Changing Surface Areas
 DPI - Lessons for Learning – Packing to Perfection
 DPI - Lessons for Learning – Slicing Pi
Evidence of Learning:
Important Notes:
 Unit Readiness Assessment
 Students need to discover pi
themselves
 2 Check Ups
(circumference/diameter)!
 1 Partner Quiz
 Only work with volume and
 1 Unit Project
surface area of prisms and
 1 Unit Test
pyramids (no cylinders, cones,
 1 Unit Project
or spheres in 7th grade)
 1 School Net Assessment Named: 7th Grade – Filling
and Wrapping
Quick Glance:
Inv 2 (2.2, 2.3) and
Supplement: Polygonal
Prisms: Volume and Surface
Area
Inv 3 (all): Area and
Circumference of Circles
Vocabulary:
 Area
 Circumference
 Cross section
 Cube
 Diameter
 Dimensions
 Edge
 Face
 Horizontal
 Parallel cut
 Perpendicular cut
 Prism
 Pyramid
 Radius
 Surface area
 Vertical
 Volume
7.NS.3 – Solve real-world and mathematical problems involving the four operations
with rational numbers.
7.G.3 – Describe the two-dimensional figures that result from slicing threedimensional figures.
7.G.4 - Know the formulas for the area and circumference of a circle and use them to
solve problems; give an informal derivation of the relationship between the
circumference and area of a circle.
7.G.6 – Solve real-world and mathematical problems involving area, volume and
surface area of two-and three-dimensional objects composed of triangles,
quadrilateral, polygons, cubes, and right prisms
7th Grade - Unit 7 – What Do you Expect? (20 days)
Things to Emphasize:
 Probability models
 Sample space
 Compound events
Standards:
Materials/Technology:

Quick Glance:
Additional Resources:

Evidence of Learning:
 Unit Readiness Assessment
 1 Check Up
 1 Partner Quiz
 1 Unit Project
 1 Unit Test
 1 Unit Project
 1 School Net Assessment Named: 6th Grade – What
Do You Expect?
Inv 1 (all): A First Look at
Chance
Inv 2 (all): Experimental and
Theoretical Probability
Inv 3 (3.1, 3.2): Making
Decisions With Probability
Inv 4 (all but 4.4): Analyzing
Compound Events Using an
Area Model
7.SP.5 – Understand that the probability of a chance event is a number between 0
and 1 that expresses the likelihood of an even occurring.
7.SP.6 – Approximate the probability of a chance event by collecting data on the
chance process that produces it and observing its long-run relative frequency, and
predict the approximate relative frequency given the probability.
7.SP.7 – Develop a probability model and use it to find probabilities of events.
Compare probabilities from a model to observed frequencies.
7.SP.8 – Find probabilities of compound events using organized lists, tables, tree
diagrams, and simulation.
Vocabulary:
 Area model
 Compound event
 Equally likely
 Expected value
 Experimental

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
probability
Fair game
Favorable outcome
Prediction
Probability
Relative frequency
Sample space
Simulation
Theoretical
probability
Tree diagram
Trial
Important Notes:
 There are so many real life
examples with probability,
think outside the box and do
plenty of experiments
 Area models will be used
throughout middle and high
school math class, so make
sure you expose students to
them
7th Grade - Unit 8 – Statistics (14 days)
Things to Emphasize:
 Analyzing data more than creating data displays
 Comparing data and making predictions
 Measures of center
Standards:
Materials/Technology:

Additional Resources:
 DPI - Lessons for Learning – X Marks the Spot
 Samples and Populations – CM Unit 8
 Georgia - Statistics
Evidence of Learning:
Important Notes:
 Unit Readiness Assessment
 Try and allow students to
from Samples and Populations
gather as much real life data,
make it applicable to their life
 Quizzes and unit test from
(comparing twitter users, avg
Samples and Populations
shoe sale)
 1 School Net Assessment th

Can pick and choose which
Named: 7 Grade - Statistics
resources you would like to
use, many options for this unit
 Grades is always a good topic
to bring in here – can
compare grades throughout
year and each 9 weeks
Quick Glance:
Samples and Populations
(validity and making
predictions)
Box and Whisker Plots –
comparing IQRS and centers
Measures of Center –
median and mean
Comparing Data Sets
Vocabulary:
 Box plot
 Distribution
 Frequency
 Histogram
 Inference
 MAD
 Mean
 Measures of center
 Median
 Mode Range
 Outliers
 Random sample
 Sample
 Skewed
 Variation
7.SP.1 – Understand that statistics can be used to gain information about a
population by examining a sample of the population; generalizations about a
population from a sample are valid only if the sample is representative of that
population.
7.SP.2 – Use data from a random sample to draw inferences about a population with
an unknown characteristic of interest. Generate multiple samples of the same size to
gauge the variation of estimates or predictions.
7.SP.3 – Informally assess the degree of visual overlap of two numerical data
distributions with similar variability, measuring the difference between the centers
by expression it as a multiple of the measure of variability.
7.SP.4 – Use measures of center and measures of variability for numerical data from
random samples to draw informal comparative inferences about two populations.