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Unit 1 – Expressions, Equations, and Inequalities
Module 1 – Expressions and Equations
Start Date – 8/20/14 (8/18, 8/19 intro days)
End Date – 8/27/14
Section Number and Topic
Lesson 1.1: Algebraic Expressions
Lesson 1.2: One-Step Equations with
Rational Coefficients
Standards
Content
MAFS.7.EE.1.1
MAFS.7.EE.1.2
Practice
MP.4.1
Content
MAFS.7.EE.2.4
MAFS.7.EE.2.4b
Learning Target
Instructional
Time Frame
Apply properties of operations as strategies to add,
subtract, factor, and expand linear expressions with
rational coefficients.
1 Day
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.
1 Day
Additional Resources
Adding on the Number Line
Order of Operations
Practice
MP.7.1
AlgebraNation.com
Section 3: Video 1
Section 3: Video 2
Section 3: Video 3
Modeling and Solving TwoStep Equations
Solving Two-Step Equations
Solving Linear Inequalities in
One Variable
Lesson 1.3: Writing Two-Step
Equations
Lesson 1.4: Solving Two-Step
Equations
Content
MAFS.7.EE.2.4
Practice
MP.1.1
Content
MAFS.7.EE.2.4
MAFS.7.EE.2.4a
Practice
MP.4.1
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.
1 Day
Solve word problems leading to equations of the form px
+ q = r and
p(x + q) = r, where p, q, and r are specific
rational numbers. Solve equations of these forms
fluently. Compare an algebraic solution to an arithmetic
solution, identifying the sequence of the operations used
in each approach.
2 Days
Module 1 Quiz
1 Day
Modeling and Solving Two-Step
Equations
AlgebraNation.com
Section 3: Video 1
Section 3: Video 2
Section 3: Video 3
Solving Two-Step Equations
Function Machines 3
Review and Assessment
Content
MAFS.7.EE.1.1
MAFS.7.EE.1.2
MAFS.7.EE.2.4
MAFS.7.EE.2.4b
Unit 1 - Expressions, Equations, and Inequalities
Module 2 – Inequalities
Start Date – 8/28/14
End Date – 9/8/14 (9/1 Schools closed)
Section Number and Topic
Lesson 2.1: Writing and Solving OneStep Inequalities
Standards
Content
MAFS.7.EE.2.4b
MAFS.7.EE.2.4
Lesson 2.2: Writing Two-Step
Inequalities
Practice
MP.1.1
Content
MAFS.7.EE.2.4
Lesson 2.3: Solving Two-Step
Inequalities
Practice
MP.2.1
Content
MAFS.7.EE.2.4b
Review and Assessment
Review and Assessment
Practice
MP.5.1
Content
MAFS.7.EE.2.4
MAFS.7.EE.2.4b
Content
MAFS.7.EE.1.1
MAFS.7.EE.1.2
MAFS.7.EE.2.4
MAFS.7.EE.2.4b
Learning Target
Instructional
Time Frame
Additional Resources
Solve word problems leading to inequalities of the form
px+q> r or px+q<r, where p, q, and r are specific rational
numbers. Graph the solution set of the inequality and
interpret it in the context of the problem.
2 Days
AlgebraNation.com
Section 3: Video 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.
1 Day
Linear Inequalities in Two Variables Activity A
Solve word problems leading to inequalities of the form
px+q> r or px+q<r, where p, q, and r are specific rational
numbers. Graph the solution set of the inequality and
interpret it in the context of the problem.
1 Day
AlgebraNation.com
Section 3: Video 4
Module 2 Quiz
1 Day
Unit 1 Review
Unit 1 Test
2 Days
Solving Linear Inequalities in One
Variable
Linear Inequalities in Two Variables Activity A
Unit 2 - Geometry
Module 3 – Modeling Geometric Figures
Start Date – 9/9/14
End Date – 9/17/14
Section Number and Topic
Lesson 3.1: Similar Shapes and Scale
Drawings
Lesson 3.2: Geometric Drawings
Lesson 3.3: Cross Sections
Lesson 3.4: Angle Relationships
Review and Assessment
Standards
Content
MAFS.7.G.1.1
Practice
MP.4.1
Content
MAFS.7.G.1.2
Practice
MP.5.1
Content
MAFS.7.G.1.3
Practice
MP.4.1
Content
MAFS.7.G.2.5
Practice
MP.2.1
Content
MAFS.7.G.1.1
MAFS.7.G.1.2
MAFS.7.G.1.3
MAFS.7.G.2.5
Learning Target
Instructional
Time Frame
Additional Resources
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.
1 Day
Perimeters and Areas of
Similar Figures
Draw (freehand, with ruler and protractor, and with
technology) geometric shapes with given conditions. Focus
on constructing triangles from three measures of angles or
sides, noticing when the conditions determine a unique
triangle, more than one triangle, or no triangle.
Describe the two-dimensional figures that result from slicing
three-dimensional figures, as in plane sections of right
rectangular prisms and right rectangular pyramids.
1 Day
Classifying Triangles
Use facts about supplementary, complementary, vertical, and
adjacent angles in a multi-step problem to write and solve
simple equations for an unknown angle in a figure
2 Days
Module 3 Review
Module 3 Quiz
2 Days
1 Day
Investigating Angle
Theorems - Activity B
Triangle Angle Sum Activity B
Unit 2 - Geometry
Module 4 – Circumference, Area, and Volume
Start Date – 9/18/14
End Date – 9/30/14 (9/25 – Schools closed)
Section Number and Topic
Lesson 4.1: Circumference
Lesson 4.2: Area of Circles
Lesson 4.3: Area of Composite Figures
Lesson 4.4: Solving Surface Area
Problems
Lesson 4.5: Solving Volume Problems
Review and Assessment
Review and Assessment
Standards
Content
MAFS.7.G.2.4
Practice
MP.7.1
Content
MAFS.7.G.2.4
Practice
MP.4.1
Content
MAFS.7.G.2.6
Practice
MP.5.1
Content
MAFS.7.G.2.6
Practice
MP.4.1
Content
MAFS.7.G.2.6
Practice
MP.7.1
Content
MAFS.7.G.2.4
MAFS.7.G.2.6
Content
MAFS.7.G.1.1
MAFS.7.G.1.2
MAFS.7.G.1.3
MAFS.7.G.2.5
MAFS.7.G.2.4
MAFS.7.G.2.6
Learning Target
Instructional
Time Frame
Additional Resources
Know the formulas for the area and circumference of a circle
and use them to solve problems; given an informal derivation
of the relationship between the circumference and area of a
circle.
1 day
Circles: Circumference and
Area
Know the formulas for the area and circumference of a circle
and use them to solve problems; given an informal derivation
of the relationship between the circumference and area of a
circle.
1 day
Circles: Circumference and
Area
Solve real-world and mathematical problems involving area,
volume and surface area of two- and three- dimensional
objects composed of triangles, quadrilaterals, polygons,
cubes, and right prisms.
1 day
Solve real-world and mathematical problems involving area,
volume and surface area of two- and three- dimensional
objects composed of triangles, quadrilaterals, polygons,
cubes, and right prisms.
1 day
Solve real-world and mathematical problems involving area,
volume and surface area of two- and three- dimensional
objects composed of triangles, quadrilaterals, polygons,
cubes, and right prisms.
1 day
Module 4 Quiz
1 day
Unit 2 Review
Unit 2 Test
2 days
Area of
Parallelograms
Prisms and
Cylinders Activity A
Surface and
Lateral Area of
Prisms and
Cylinders
Prisms and Cylinders Activity A
Unit 3 – Statistics and Sampling
Module 5 – Random Samples and Populations
Start Date – 10/1/14
End Date – 10/6/14
Section Number and Topic
Lesson 5.1: Populations and Samples
Standards
Content
MAFS.7.SP.1.1
Practice
MP.6.1
Lesson 5.2: Making Inferences From a
Random Sample
Lesson 5.3: Generating Random Samples
Review and Assessment
Content
MAFS.7.SP.1.2
MAFS.7.SP.1.2c
MAFS.7.SP.1.1
Practice
MP.4.1
Content
MAFS.7.SP.1.2
Practice
MP.5.1
Content
MAFS.7.SP.1.1
MAFS.7.SP.1.2
MAFS.7.SP.1.2c
Learning Target
Instructional
Time Frame
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.
1 days
Use data from a random sample to draw inferences about a
population with an unknown characteristic of interest.
Generate multiple samples (or simulated samples) of the
same size to gauge the variation in estimates or predictions.
1 day
Use data from a random sample to draw inferences about a
population with an unknown characteristic of interest.
Generate multiple samples (or simulated samples) of the
same size to gauge the variation in estimates or predictions.
1 day
Module 5 Quiz
1 day
Additional Resources
Polling: Neighborhood
Probability Simulations
Estimating Population Size
Populations and Samples
Probability Simulations
Estimating Population Size
Populations and Samples
Unit 3 - Statistics and Sampling
Module 6 – Analyzing and Comparing Data
Start Date – 10/7/14
End Date – 10/15/14
Section Number and Topic
Lesson 6.1: Comparing Data Displayed in
Dot Plots
Lesson 6.2: Comparing Data Displayed in
Box Plots
Lesson 6.3: Using Statistical Measures to
Compare Populations
Standards
Content
MAFS.7.SP.2.4
MAFS.7.SP.2.3
Practice
MP.7.1
Content
MAFS.7.SP.2.3
MAFS.7.SP.2.4
Practice
MP.2.1
Content
MAFS.7.SP.2.3
MAFS.7.SP.2.4
Learning Target
Instructional
Time Frame
Use measures of center and measures of variability for
numerical data from random samples to draw informal
comparative inferences about two populations.
1 day
Informally assess the degree of visual overlap of two
numerical data distributions with similar variabilities,
measuring the difference between the centers by expressing
it as a multiple of a measure of variability.
1 days
Informally assess the degree of visual overlap of two
numerical data distributions with similar variabilities,
measuring the difference between the centers by expressing
it as a multiple of a measure of variability.
2 days
Additional Resources
Describing Data Using
Statistics
Mean, Median and Mode
Movie Reviewer (Mean
and Median)
Box-and-Whisker Plots
Describing Data Using
Statistics
Mean, Median and Mode
Movie Reviewer (Mean and
Median)
Reaction Time 1 (Graphs
and Statistics)
Reaction Time 2 (Graphs
and Statistics)
Practice
MP.6.1
Review and Assessment
Content
MAFS.7.SP.2.3
MAFS.7.SP.2.4
Module 6 Quiz
1 day
Review and Assessment
Content
MAFS.7.SP.1.1
MAFS.7.SP.1.2
MAFS.7.SP.1.2c
MAFS.7.SP.2.3
MAFS.7.SP.2.4
Unit 3 Review
Unit 3 Test
2 days
Unit 4 - Probability
Module 7 – Experimental Probability
Start Date – 10/16/14
End Date – 10/23/14 (10/23 – Early release)
Section Number and Topic
Lesson 7.1: Probability
Lesson 7.2: Experimental Probability of
Simple Events
Lesson 7.3: Experimental Probability of
Compound Events
Lesson 7.4: Making Predictions with
Experimental Probability
Review and Assessment
Standards
Content
MAFS.7.SP.3.5
MAFS.7.SP.3.7a
Practice
MP.6.1
Content
MAFS.7.SP.3.6
MAFS.7.SP.3.7b
Practice
MP.4.1
Content
MAFS.7.SP.3.8
MAFS.7.SP.3.8a
MAFS.7.SP.3.8b
MAFS.7.SP.3.8c
Practice
MP.2.1
Content
MAFS.7.SP.3.6
Practice
MP.4.1
Content
MAFS.7.SP.3.5
MAFS.7.SP.3.6
MAFS.7.SP.3.7a
MAFS.7.SP.3.7b
MAFS.7.SP.3.8
MAFS.7.SP.3.8a
MAFS.7.SP.3.8b
MAFS.7.SP.3.8c
Learning Target
Instructional
Time Frame
Additional Resources
Understand that the probability of a chance event is a
number between 0 and 1 that expresses the likelihood of the
event occurring and develop a uniform probability model by
assigning equal probability to all outcomes, and use the
model to determine probabilities of events.
2 days
Spin the Big Wheel! (Probability)
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
frequency given the probability and develop a probability
model (which may not be uniform) by observing
frequencies in data generated from a chance process.
Find probabilities of compound events using lists, tables,
tree diagrams, and simulations and understand that, just as
with simple events, the probability of a compound event is
the fraction of outcomes in the sample space for which the
compound event occurs.
1 day
Spin the Big Wheel! (Probability)
1 day
Independent and Dependent
Events
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
frequency given the probability.
1 day
Spin the Big Wheel! (Probability)
Module 7 Quiz
1 day
Unit 4 - Probability
Module 8 – Theoretical Probability and Simulations
Start Date – 10/27/14
End Date – 11/7/14 (11/4 – Teacher planning)
Section Number and Topic
Lesson 8.1: Theoretical Probability of
Simple Events
Lesson 8.2: Theoretical Probability of
Compound Events
Lesson 8.3: Making Predications with
Theoretical Probability
Standards
Content
MAFS.7.SP.3.7a
MAFS.7.SP.3.6
MAFS.7.SP.3.7
Practice
MP.7.1
Content
MAFS.7.SP.3.8
MAFS.7.SP.3.8a
MAFS.7.SP.3.8b
Practice
MP.2.1
Content
MAFS.7.SP.3.6
MAFS.7.SP.3.7a
Practice
MP.4.1
Lesson 8.4: Using Technology to Conduct
a Simulation
Review and Assessment
Review and Assessment
Content
MAFS.7.SP.3.8c
MAFS.7.SP.3.8
Practice
MP.5.1
Content
MAFS.7.SP.3.6
MAFS.7.SP.3.7
MAFS.7.SP.3.7a
MAFS.7.SP.3.8
MAFS.7.SP.3.8a
MAFS.7.SP.3.8b
MAFS.7.SP.3.8c
Content
MAFS.7.SP.3.5
MAFS.7.SP.3.6
MAFS.7.SP.3.7a
MAFS.7.SP.3.7b
MAFS.7.SP.3.8
MAFS.7.SP.3.8a
MAFS.7.SP.3.8b
MAFS.7.SP.3.8c
Learning Target
Instructional
Time Frame
Additional Resources
Develop a uniform probability model by assigning equal
probability to all outcomes, and use the model to determine
probabilities of events and 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.
Find probabilities of compound events using organized
lists, tables, tree diagrams, and simulation and understand
that, just as with simple events, the probability of a
compound event is the fraction of outcomes in the sample
space for which the compound event occurs.
1 day
2 days
Independent and Dependent
Events
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 and
develop a uniform probability model by assigning equal
probability to all outcomes, and use the model to determine
probabilities of events.
Design and use a simulation to generate frequencies for
compound events and find probabilities of compound
events using organized lists, tables, tree diagrams, and
simulation.
2 days
Spin the Big Wheel! (Probability)
1 day
Independent and Dependent
Events
Module 8 Quiz
1 day
Unit 4 Review
Unit 4 Test
2 days
Spin the Big Wheel! (Probability)
Probability Simulations
Theoretical and Experimental
Probability
Unit 5 – Real Numbers, Exponents, and Scientific Notation
Module 9 – Real Numbers
Start Date – 11/10/14
End Date – 11/17/14 (11/11 Schools closed)
Section Number and Topic
Lesson 9.1: Rational and Irrational
Numbers
Lesson 9.2: Sets of Real Numbers
Standards
Content
MAFS.8.NS.1.1
MAFS.8.NS.1.2
MAFS.8.EE.1.1
Practice
MP.6.1
Content
MAFS.8.NS.1.1
Practice
MP.7.1
Lesson 9.3: Ordering Real Numbers
Content
MAFS.8.NS.1.2
Practice
MP.4.1
Review and Assessment
Content
MAFS.8.NS.1.1
MAFS.8.NS.1.2
MAFS.8.EE.1.1
Learning Target
Instructional
Time Frame
Know that numbers that are not rational are called
irrational. Understand informally that every number has a
decimal expansion; for rational numbers show that the
decimal expansion repeats eventually, and convert a
decimal expansion which repeats eventually into a rational
number.
2 days
Know that numbers that are not rational are called
irrational. Understand informally that every number has a
decimal expansion; for rational numbers show that the
decimal expansion repeats eventually, and convert a
decimal expansion which repeats eventually into a rational
number.
Use rational approximations of irrational numbers to
compare the size of irrational numbers, locate them
approximately on a number line diagram, and estimate the
value of expressions.
1 day
1 day
1 day
Additional Resources
Improper Fractions and Mixed
Numbers
Percents, Fractions, and
Decimals
Ordering and Approximating
Square Roots
Ordering and Approximating
Square Roots
Unit 5 – Real Numbers, Exponents, and Scientific Notation
Module 10 – Exponents and Scientific Notation
Start Date – 11/18/14
End Date – 12/1/14 (11/26, 11/27, 11/28 Schools closed)
Section Number and Topic
Lesson 10.1: Integer Exponents
Standards
Content
MAFS.8.EE.1.1
Learning Target
Know and apply the properties of integer exponents to
generate equivalent numerical expressions.
Instructional
Time Frame
1 day
Practice
MP.8.1
Lesson 10.2: Scientific Notation with
Positive Powers of 10
Content
MAFS.8.EE.1.3
Lesson 10.3: Scientific Notation with
Negative Powers of 10
Practice
MP.4.1
Content
MAFS.8.EE.1.3
Lesson 10.4: Operations with Scientific
Notation
Practice
MP.2.1
Content
MAFS.8.EE.1.4
Practice
MP.1.1
Review and Assessment
Content
MAFS.8.EE.1.1
MAFS.8.EE.1.3
MAFS.8.EE.1.4
Review and Assessment
Content
MAFS.8.NS.1.1
MAFS.8.NS.1.2
MAFS.8.EE.1.1
MAFS.8.EE.1.3
MAFS.8.EE.1.4
Additional Resources
AlgebraNation.com
Pre-Algebra Skills: Video 8
Dividing Exponential
Expressions
Exponents and Power Rules
Multiplying Exponential
Expressions
Unit Conversions 2 - Scientific
Notation and Significant Digits
Use numbers expressed in the form of a single digit times an
integer power of 10 to estimate very large or very small
quantities, and to express how many times as much one is
than the other.
1 day
Use numbers expressed in the form of a single digit times an
integer power of 10 to estimate very large or very small
quantities, and to express how many times as much one is
than the other.
1 day
Unit Conversions 2 - Scientific
Notation and Significant Digits
Perform operations with numbers expressed in scientific
notation, including problems where both decimal and
scientific notation are used. Use scientific notation and
choose units of appropriate size for measurements of very
large or very small quantities ... . Interpret scientific notation
that has been generated by technology.
Module 10 Quiz
1 day
Unit Conversions 2 - Scientific
Notation and Significant Digits
Unit 5 Review
Unit 5 Test
2 days
1 day
Unit 6A – Proportional and Nonproportional Relationships
Module 11 – Solving Linear Equations
Start Date – 12/02/14
End Date – 12/07/14
Module Number and Topic
Lesson 11.1: Representing Proportional
Relationships
Standards
Content
MAFS.8.EE.2.6
MAFS.8.F.2.4
Practice
MP.4.1
Lesson 11.2: Rate of Change and Slope
Content
MAFS.8.F.2.4
Practice
MP.7.1
Lesson 11.3: Interpreting the Unit Rate
as Slope
Content
MAFS.8.EE.2.5
MAFS.8.F.1.2
MAFS.8.F.2.4
Practice
MP.4.1
Review and Assessment
Content
MAFS.8.EE.2.5
MAFS.8.EE.2.6
MAFS.8.F.1.2
MAFS.8.F.2.4
Learning Target
Use similar triangles to explain why slope m is the same
between any two distinct points on a non-vertical line in
the coordinate plane; derive the equation y=mx for a line
through the origin and the equation y=mx+b for a line
intercepting he vertical axis at b.
Construct a function to model a linear relationship
between two quantities. Determine the rate of change and
initial value of the function from a description of a
relationship or from two (x, y) values, including reading
these values from a table or graph. Interpret the rate of
change and initial value of a linear function in terms of the
situation it models, and in terms of its graph or table of
values.
Construct a function to model a linear relationship
between two quantities. Determine the rate of change and
initial value of the function from a description of a
relationship or from two (x, y) values, including reading
these values from a table or graph. Interpret the rate of
change and initial value of a linear function in terms of the
situation it models, and in terms of its graph or table of
values.
Graph proportional relationships, interpreting the unit
rate as a slope of the graph. Compare two different
proportional relationships represented in two different
ways.
Compare properties of two functions each represented in a
different way (algebraically, graphically, numerically in
tables, or by verbal descriptions).
Construct a function to model a linear relationship
between two quantities. Determine the rate of change and
initial value of the function from a description of a
relationship or from two (x, y) values, including reading
these values from a table or graph. Interpret the rate of
change and initial value of a linear function in terms of the
situation it models, and in terms of its graph or table of
values.
Module 11 Quiz
Instructional
Time Frame
1 Day
1 Day
Additional Resources
Point-Slope Form of a Line Activity A
Points, Lines, and Equations
Slope - Activity B
Slope-Intercept Form of a
Line - Activity B
AlgebraNation.com
Section 5: Video 2
Distance-Time (metric)
Distance-Time Velocity-Time
(metric)
Slope - Activity B
1 Day
Distance-Time (metric)
Distance-Time Velocity-Time
(metric)
Slope - Activity B
1 Day
Unit 6A – Proportional and Nonproportional Relationships
Module 12 – Nonproportional Relationships
Start Date – 12/08/14
End Date – 12/17/14
Module Number and Topic
Lesson 12.1: Representing Linear
Nonproportional Relationships
Lesson 12.2: Determining Slope and yintercept
Standards
Content
MAFS.8.F.1.3
Practice
MP.4.1
Content
MAFS.8.EE.2.6
MAFS.8.F.2.4
Practice
MP.7.1
Lesson 12.3: Graphing Linear
Nonproportional Relationships using
Slope and y-intercept
Content
MAFS.8.F.2.4
MAFS.8.F.1.3
Lesson 12.4: Proportional and
Nonproportional Situations
Practice
MP.6.1
Content
MAFS.8.F.1.2
Review and Assessment
Review and Assessment
Practice
MP.6.1
Content
MAFS.8.F.1.2
MAFS.8.F.1.3
MAFS.8.F.2.4
MAFS.8.EE.2.6
Content
MAFS.8.EE.2.5
MAFS.8.EE.2.6
MAFS.8.F.1.2
MAFS.8.F.1.3
MAFS.8.F.2.4
Learning Target
Instructional
Time Frame
Interpret the equation y=mx+b as defining a linear
function, whose graph is a straight line; give examples of
functions that are not linear.
1 Day
Use similar triangles to explain why slope m is the same
between any two distinct points on a non-vertical line in
the coordinate plane; derive the equation y=mx for a line
through the origin and the equation y=mx+b for a line
intercepting he vertical axis at b.
Construct a function to model a linear relationship
between two quantities. Determine the rate of change and
initial value of the function from a description of a
relationship or from two (x, y) values, including reading
these values from a table or graph. Interpret the rate of
change and initial value of a linear function in terms of the
situation it models, and in terms of its graph or table of
values.
Construct a function to model a linear relationship
between two quantities. Determine the rate of change and
initial value of the function from a description of a
relationship or from two (x, y) values, including reading
these values from a table or graph. Interpret the rate of
change and initial value of a linear function in terms of the
situation it models, and in terms of its graph or table of
values.
Interpret the equation y=mx+b as defining a linear
function, whose graph is a straight line; give examples of
functions that are not linear.
Compare properties of two functions each represented in
a different way (algebraically, graphically, numerically in
tables, or by verbal descriptions).
1 Day
Module 12 Quiz
1 Day
Unit 6A Review
Unit 6A Test
2 Days
Additional Resources
AlgebraNation.com
Section 5: Video 2
Section 6: Video 1
Point-Slope Form of a Line Activity A
Points, Lines, and Equations
Similar Figures - Activity A
Slope - Activity B
Slope-Intercept Form of a Line Activity B
1 Day
Cat and Mouse (Modeling with
Linear Systems) - Activity B
1 Day
Distance-Time (metric)
Distance-Time Velocity-Time
(metric)
Unit 6B – Writing Linear Equations and Functions
Module 13 – Writing Linear Equations
Start Date – 01/05/15
End Date – 01/09/15
Module Number and Topic
Lesson 13.1: Writing Linear Equations
and Situations from Graphs
Standards
Content
MAFS.8.F.2.4
Practice
MP.2.1
Lesson 13.2: Writing Linear Equations
from a Table
Content
MAFS.8.F.2.4
Practice
MP.4.1
Lesson 13.3: Linear Relationships and
Bivariate Data
Content
MAFS.8.SP.1.1
MAFS.8.SP.1.2
MAFS.8.SP.1.3
Review and Assessment
Content
MAFS.8.F.2.4
MAFS.8.SP.1.1
MAFS.8.SP.1.2
MAFS.8.SP.1.3
Learning Target
Instructional
Time Frame
Construct a function to model a linear relationship between
two quantities. Determine the rate of change and initial
value of the function from a description of a relationship or
from two (x, y) values, including reading these values from
a table or graph. Interpret the rate of change and initial
value of a linear function in terms of the situation it models,
and in terms of its graph or table of values.
1 Day
Construct a function to model a linear relationship between
two quantities. Determine the rate of change and initial
value of the function from a description of a relationship or
from two (x, y) values, including reading these values from
a table or graph. Interpret the rate of change and initial
value of a linear function in terms of the situation it models,
and in terms of its graph or table of values.
1 Day
Construct and interpret scatter plots for bivariate
measurement data to investigate patterns of association
between two quantities. Describe patterns such as
clustering, outliers, positive or negative association, linear
association, and nonlinear association.
Know that straight lines are widely used to model
relationships between two quantitative variables. For
scatter plots that suggest a linear association, informally fit
a straight line, and informally assess the model fit by
judging the closeness of the data points to a line.
Use the equation of a linear model to solve problems in the
context of bivariate measurement data, interpreting slope
and intercept.
Module 13 Quiz
2 Days
1 Day
Additional Resources
Distance-Time (metric)
Distance-Time Velocity-Time
(metric)
Introduction to Functions
Linear Functions
Point-Slope Form of a Line Activity A
Points, Lines, and Equations
Slope-Intercept Form of a Line
- Activity B
Distance-Time (metric)
Distance-Time Velocity-Time
(metric)
Introduction to Functions
Linear Functions
Point-Slope Form of a Line Activity A
Points, Lines, and Equations
Slope-Intercept Form of a Line
- Activity B
Correlation
Least-Squares Best Fit Lines
Trends in Scatter Plots
Solving Using Trend Lines
Unit 6B – Writing Linear Equations and Functions
Module 14 – Functions
Start Date – 01/12/15
End Date – 01/23/15 (01/19 – Schools closed)
Module Number and Topic
Lesson 14.1: Identifying and
Representing Functions
Standards
Content
MAFS.8.F.1.1
Practice
MP.4.1
Lesson 14.2: Describing Functions
Lesson 14.3: Comparing Functions
Lesson 14.4: Analyzing Graphs
Review and Assessment
Review and Assessment
Content
MAFS.8.F.1.3
MAFS.8.F.1.1
Practice
MP.6.1
Content
MAFS.8.F.1.2
MAFS.8.EE.2.5
MAFS.8.F.2.4
Practice
MP.3.1
Content
MAFS.8.F.2.5
Practice
MP.4.1
Content
MAFS.8.F.1.1
MAFS.8.F.1.2
MAFS.8.F.1.3
MAFS.8.F.2.4
MAFS.8.F.2.5
MAFS.8.EE.2.5
Content
MAFS.8.F.1.1
MAFS.8.F.1.2
MAFS.8.F.1.3
MAFS.8.F.2.4
MAFS.8.F.2.5
MAFS.8.EE.2.5
MAFS.8.SP.1.1
MAFS.8.SP.1.2
MAFS.8.SP.1.3
Learning Target
Instructional
Time Frame
Understand that a function is a rule that assigns to each
input exactly one output. The graph of a function is the set
of ordered pairs consisting of an input and the
corresponding output.
2 Days
Interpret the equation y=mx+b as defining a linear function,
whose graph is a straight line; give examples of functions
that are not linear.
Understand that a function is a rule that assigns to each
input exactly one output. The graph of a function is the set
of ordered pairs consisting of an input and the
corresponding output.
Compare properties of two functions each represented in a
different way (algebraically, graphically, numerically in
tables, or by verbal descriptions).
Graph proportional relationships, interpreting the unit rate
as a slope of the graph. Compare two different proportional
relationships represented in different ways.
Construct a function to model a linear relationship between
two quantities. Determine the rate of change and initial
value of the function from a description of a relationship or
from two (x, y) values, including reading these values from a
table or graph. Interpret the rate of change and initial value
of a linear function in terms of the situation it models, and
in terms of its graph or table of values.
Describe qualitatively the functional relationship between
two quantities by analyzing a graph (e.g. where the function
is increasing or decreasing, linear or nonlinear). Sketch a
graph that exhibits the qualitative features of a function that
has been described verbally.
Module 14 Quiz
1 Day
Unit 6B Review
Unit 6B Test
2 days
2 Days
1 Day
1 Day
Additional Resources
AlgebraNation.com
Section 2: Video 2
Introduction to Functions
Linear Functions
Introduction to Functions
Linear Functions
Function Machines 2
(Functions, Tables, and
Graphs)
Function Machines 3
(Functions and Problem
Solving)
Introduction to Functions
Linear Functions
Points, Lines, and Equations
Distance-Time (metric)
Unit 7 – Solving Equations and Systems of Equations
Module 15 – Solving Linear Equations
Start Date – 01/26/15
End Date – 02/03/15
Module Number and Topic
Lesson 15.1: Equations with Variables
on Both Sides
Standards
Content
MAFS.8.EE.3.7
MAFS.8.EE3.7b
Practice
MP.4.1
Lesson 15.2: Equations with Rational
Numbers
Content
MAFS.8.EE.3.7
MAFS.8.EE3.7b
Practice
MP.6.1
Lesson 15.3: Equations with the
Distributive Property
Content
MAFS.8.EE3.7b
Practice
MP.1.1
Lesson 15.4: Equations with Many
Solutions or No Solutions
Content
MAFS.8.EE.3.7a
Practice
MP.8.1
Review and Assessment
Content
MAFS.8.EE.3.7
MAFS.8.EE.3.7a
MAFS.8.EE.3.7b
Learning Target
Instructional
Time Frame
Solve linear equations in one variable.
Solve linear equations with rational number coefficients,
including equations whose solutions require expanding
expressions using he distributive property and collecting
like terms.
2 Days
Solve linear equations in one variable.
Solve linear equations with rational number coefficients,
including equations whose solutions require expanding
expressions using he distributive property and collecting
like terms.
1 Day
Solve linear equations with rational number coefficients,
including equations whose solutions require expanding
expressions using he distributive property and collecting
like terms.
2 Days
Give examples of linear equations in one variable with
one solution, infinitely many solutions, or no solutions.
Show which of these possibilities is the case by
successively transforming the given equation into
simpler forms, until an equivalent equation of the form
x=a, a=a, or a=b results.
1 Day
Module 15 Quiz
1 Day
Additional Resources
AlgebraNation.com
Section 3: Video 1
Modeling and Solving TwoStep Equations
Solving Equations By Graphing
Each Side
Solving Two-Step Equations
AlgebraNation.com
Section 3: Video 1
Section 3: Video 2
Section 3: Video 3
Modeling and Solving Two-Step
Equations
Solving Equations By Graphing
Each Side
Solving Two-Step Equations
AlgebraNation.com
Section 3: Video 1
Modeling and Solving Two-Step
Equations
Solving Equations By Graphing
Each Side
Solving Two-Step Equations
AlgebraNation.com
Section 3: Video 1
Modeling and Solving Two-Step
Equations
Solving Equations By Graphing Each
Side
Solving Two-Step Equations
Unit 7 – Solving Equations and Systems of Equations
Module 16 – Solving Systems of Linear Equations
Start Date – 02/04/15
End Date – 02/20/15 (2/16 – Schools closed)
Section Number and Topic
Standards
Lesson 16.1: Solving Systems of Linear
Equations by Graphing
Content
MAFS.EE.3.8.a
Lesson 16.2: Solving Systems by
Substitution
Practice
MP.3.1
Content
MAFS.EE.3.8.b
Learning Target
Instructional
Time Frame
Understand that solutions to a system of two linear
equations in two variables correspond to points of
intersection of their graphs, because points of intersection
satisfy both equations simultaneously.
2 Days
Solve systems of two linear equations in two variables
algebraically, and to estimate solutions by graphing the
equations. Solve simple cases by inspection.
2 Days
Practice
MP.6.1
Lesson 16.3: Solving Systems by
Elimination
Content
MAFS.EE.3.8.b
MAFS.EE.3.8.c
Practice
MP.1.1
Lesson 16.4: Solving Systems by
Elimination with Multiplication
Content
MAFS.EE.3.8.b
MAFS.EE.3.8.c
Practice
MP.1.1
Lesson 16.5: Solving special Systems
Content
MAFS.EE.3.8.b
MAFS.EE.3.8.c
Practice
MP.2.1
Solve systems of two linear equations in two variables
algebraically, and to estimate solutions by graphing the
equations. Solve simple cases by inspection.
Solve real-world and mathematical problems leading to
two linear equations in two variables.
2 Days
Solve systems of two linear equations in two variables
algebraically, and to estimate solutions by graphing the
equations. Solve simple cases by inspection.
Solve real-world and mathematical problems leading to
two linear equations in two variables.
2 Days
Solve systems of two linear equations in two variables
algebraically, and to estimate solutions by graphing the
equations. Solve simple cases by inspection.
Solve real-world and mathematical problems leading to
two linear equations in two variables.
1 Day
Review and Assessment
Content
MAFS.EE.3.8.a
MAFS.EE.3.8.b
MAFS.EE.3.8.c
Module 16 Quiz
1 Day
Review and Assessment
Content
MAFS.8.EE.3.7
MAFS.8.EE.3.7a
MAFS.8.EE.3.7b
MAFS.EE.3.8.a
MAFS.EE.3.8.b
MAFS.EE.3.8.c
Unit 7 Review
Unit 7 Test
2 Days
Additional Resources
AlgebraNation.com
Section 7: Video 1
Solving Linear Systems (SlopeIntercept Form)
AlgebraNation.com
Section 7: Video 3
Solving Linear Systems (SlopeIntercept Form)
Solving Linear Systems
(Standard Form)
Solving Linear Systems
(Matrices and Special
Solutions)
AlgebraNation.com
Section 7: Video 4
Solving Linear Systems (SlopeIntercept Form)
Solving Linear Systems
(Standard Form)
Solving Linear Systems (Matrices
and Special Solutions)
AlgebraNation.com
Section 7: Video 5
Solving Linear Systems (SlopeIntercept Form)
Solving Linear Systems (Standard
Form)
Solving Linear Systems (Matrices
and Special Solutions)
Solving Linear Systems (SlopeIntercept Form)
Solving Linear Systems (Standard
Form)
Solving Linear Systems (Matrices
and Special Solutions)
Unit 8 – Transformational Geometry
Module 17 – Transformations and Congruence
Start Date – 02/23/15
End Date – 03/06/15 (2/26 – Early release)
Module Number and Topic
Lesson 17.1: Properties of Translations
Standards
Content
MAFS.8.G.1.1
MAFS.8.G.1.3
Practice
MP.6.1
Lesson 17.2: Properties of Reflections
Content
MAFS.8.G.1.1
MAFS.8.G.1.3
Practice
MP.5.1
Lesson 17.3: Properties of Rotations
Content
MAFS.8.G.1.1
MAFS.8.G.1.3
Practice
MP.2.1
Lesson 17.4: Algebraic Representations
of Transformations
Content
MAFS.8.G.1.3
Learning Target
Instructional
Time Frame
Verify experimentally the properties of rotations,
reflections, and translations.
a. Lines are taken to lines, and line segments to line
segments the same length.
b. Angles are taken to angles of the same measure.
c. Parallel lines are taken to parallel lines.
Describe the effect of dilations, translations, rotations and
reflections on two-dimensional figures using coordinates.
Verify experimentally the properties of rotations,
reflections, and translations.
a. Lines are taken to lines, and line segments to line
segments the same length.
b. Angles are taken to angles of the same measure.
c. Parallel lines are taken to parallel lines.
Describe the effect of dilations, translations, rotations and
reflections on two-dimensional figures using coordinates.
Verify experimentally the properties of rotations,
reflections, and translations.
a. Lines are taken to lines, and line segments to line
segments the same length.
b. Angles are taken to angles of the same measure.
c. Parallel lines are taken to parallel lines.
Describe the effect of dilations, translations, rotations and
reflections on two-dimensional figures using coordinates.
Describe the effect of dilations, translations, rotations and
reflections on two-dimensional figures using coordinates.
2 Days
Dilations
Reflections
Rotations, Reflections and
Translations
Translations
2 Days
Reflections
Rotations, Reflections and
Translations
2 Days
Rotations, Reflections and
Translations
2 Days
Understand that a two-dimensional figure is congruent to
another if the second can be obtained from the first by a
sequence of rotations, reflections, and translations; given
two congruent figures, describe a sequence that exhibits the
congruence between them.
Module 17 Quiz
1 Day
Dilations
Reflections
Rotations, Reflections and
Translations
Translations
Rotations, Reflections and
Translations
Translations
Practice
MP.3.1
Lesson 17.5: Congruent Figures
Review and Assessment
Content
MAFS.8.G.1.2
Practice
MP.6.1
Content
MAFS.8.G.1.1
MAFS.8.G.1.2
MAFS.8.G.1.3
Additional Resources
1 Day
Unit 8 – Transformational Geometry
Module 18 – Transformations and Similarity
Start Date – 03/09/15
End Date – 03/18/15
Module Number and Topic
Lesson 18.1: Properties of Dilations
Standards
Content
MAFS.8.G.1.4
MAFS.8.G.1.3
Practice
MP.5.1
Lesson 18.2: Algebraic Representations
of Dilations
Lesson 18.3: Similar Figures
Content
MAFS.8.G.1.3
Practice
MP.4.1
Content
MAFS.8.G.1.4
Practice
MP.6.1
Learning Target
Instructional
Time Frame
Additional Resources
Understand that a two-dimensional figure is similar to
another if the second can be obtained from the first by a
sequence of rotations, reflections, translations and dilations;
given two similar two-dimensional figures, describe a
sequence that exhibits the similarity between them.
Describe the effect of dilations, translations, rotations and
reflections on two-dimensional figures using coordinates.
Describe the effect of dilations, translations, rotations and
reflections on two-dimensional figures using coordinates.
2 Days
2 Days
Dilations
Translations
Understand that a two-dimensional figure is similar to
another if the second can be obtained from the first by a
sequence of rotations, reflections, translations and dilations;
given two similar two-dimensional figures, describe a
sequence that exhibits the similarity between them.
1 Day
Dilations
Reflections
Rotations, Reflections and
Translations
Translations
Review and Assessment
Content
MAFS.8.G.1.3
MAFS.8.G.1.4
Module 18 Quiz
1 Day
Review and Assessment
Content
MAFS.8.G.1.1
MAFS.8.G.1.2
MAFS.8.G.1.3
MAFS.8.G.1.4
Unit 8 Review
Unit 8 Test
2 Days
Dilations
Unit 9 – Measurement Geometry
Module 19 – Angle Relationships in Parallel Lines and Triangles
Start Date – 03/30/15
End Date – 04/07/15 (4/3 – Schools closed)
**Standardized Testing & Review from 04/08/15 through 04/24/15
Section Number and Topic
Standards
Lesson 19.1: Parallel Lines Cut by a
Transversal
Content
MAFS.8.G.1.5
Lesson 19.2: Angle Theorems for
Triangles
Practice
MP.6.1
Content
MAFS.8.G.1.5
MAFS.8.EE.3.7
MAFS.8.EE.3.7b
Lesson 19.3: Angle-Angle Similarity
Review and Assessment
Practice
MP.5.1
Content
MAFS.8.G.1.5
MAFS.8.EE.2.6
MAFS.8.EE.3.7
Practice
MP.4.1
Content
MAFS.8.G.1.5
MAFS.8.EE.2.6
MAFS.8.EE.3.7
MAFS.8.EE.3.7b
Learning Target
Instructional
Time Frame
Additional Resources
Use informal arguments to establish facts about the angle
sum and exterior angle of triangles, about the angles created
when parallel lines are cut by a transversal, and the angleangle criterion for similarity of triangles.
2 Days
Triangle Angle Sum - Activity B
Segment and Angle Bisectors
Similar Figures - Activity A
Use informal arguments to establish facts about the angle
sum and exterior angle of triangles, about the angles created
when parallel lines are cut by a transversal, and the angleangle criterion for similarity of triangles.
Solve linear equations in one variable.
Solve linear equations with rational number coefficients,
including equations whose solutions require expanding
expressions using he distributive property and collecting
like terms.
Use informal arguments to establish facts about the angle
sum and exterior angle of triangles, about the angles created
when parallel lines are cut by a transversal, and the angleangle criterion for similarity of triangles.
Use similar triangles to explain why the slope m is the same
between any two distinct points on a non-vertical line in the
coordinate plane; derive the equation y=mx for a line
through the origin and the equation y=mx+b for a line
intercepting the vertical axis at b.
Solve linear equations in one variable.
Module 19 Quiz
1 Day
Triangle Angle Sum - Activity B
Segment and Angle Bisectors
Similar Figures - Activity A
2 Days
Triangle Angle Sum - Activity B
Segment and Angle Bisectors
Similar Figures - Activity A
1 Day
Unit 9 – Measurement Geometry
Module 20 – The Pythagorean Theorem
**Standardized Testing & Review from 04/08/15 through 04/24/15
Start Date – 04/27/15
End Date – 05/05/15
Section Number and Topic
Lesson 20.1: The Pythagorean Theorem
Lesson 20.2: Converse of the Pythagorean
Theorem
Standards
Content
MAFS.8.G.2.7
MAFS.8.G.2.6
Practice
MP.5.1
Content
MAFS.8.G.2.6
Learning Target
Instructional
Time Frame
Apply the Pythagorean Theorem to determine unknown
side lengths in right triangles in real-world and
mathematical problems in two and three dimensions.
Explain a proof of the Pythagorean Theorem and its
converse.
2 Days
Distance Formula - Activity A
Pythagorean Theorem Activity B
Pythagorean Theorem with
a Geoboard
Explain a proof of the Pythagorean Theorem and its
converse.
2 Days
Apply the Pythagorean Theorem to find the distance
between two points in a coordinate system.
2 Days
Distance Formula - Activity A
Pythagorean Theorem Activity B
Pythagorean Theorem with
a Geoboard
Distance Formula - Activity A
Points in the Coordinate
Plane - Activity A
Pythagorean Theorem Activity B
Pythagorean Theorem with
a Geoboard
Module 20 Quiz
1 Day
Practice
MP.7.1
Lesson 20.3: Distance Between Two
Points
Content
MAFS.8.G.2.8
Practice
MP.2.1
Review and Assessment
Content
MAFS.8.G.2.6
MAFS.8.G.2.7
MAFS.8.G.2.8
Additional Resources
Unit 9 – Measurement Geometry
Module 21 – Volume
Start Date – 05/06/15
End Date – 05/13/15
Section Number and Topic
Lesson 21.1: Volume of Cylinders
Lesson 21.2: Volume of Cones
Lesson 21.3: Volume of Spheres
Review and Assessment
Review and Assessment
Standards
Content
MAFS.8.G.3.9
Practice
MP.3.1
Content
MAFS.8.G.3.9
Practice
MP.4.1
Content
MAFS.8.G.3.9
Practice
MP.6.1
Content
MAFS.8.G.3.9
Content
MAFS.8.G.2.6
MAFS.8.G.2.7
MAFS.8.G.2.8
MAFS.8.G.3.9
Learning Target
Instructional
Time Frame
Additional Resources
Know the formulas for the volumes of cones, cylinders, and
spheres and use them to solve real-world and mathematical
problems.
1 Day
Prisms and Cylinders - Activity
A
Know the formulas for the volumes of cones, cylinders, and
spheres and use them to solve real-world and mathematical
problems.
1 Day
Pyramids and Cones - Activity
B
Know the formulas for the volumes of cones, cylinders, and
spheres and use them to solve real-world and mathematical
problems.
1 Day
Prisms and Cylinders - Activity A
Pyramids and Cones - Activity B
Module 21 Quiz
1 Day
Unit 9 Review
Unit 9 Test
2 Days
Unit 10 – Statistics: Bivariate Data
Module 22 – Scatter Plots
Start Date – 05/14/15
End Date – 05/20/15
Section Number and Topic
Lesson 22.1: Scatter Plots and Association
Lesson 22.2: Trend Lines and Predictions
Standards
Content
MAFS.8.SP.1.1
Practice
MP.7.1
Content
MAFS.8.SP.1.3
MAFS.8.SP.1.1
MAFS.8.SP.1.2
Practice
MP.6.1
Review and Assessment
Content
MAFS.8.SP.1.1
MAFS.8.SP.1.2
MAFS.8.SP.1.3
Learning Target
Construct and interpret scatter plots for bivariate
measurement data to investigate patterns of association
between two quantities. Describe patterns such as
clustering, outliers, positive or negative association, linear
association, and nonlinear association.
Use the equation of a linear model to solve problems in the
context of bivariate measurement data, interpreting slope
and intercept.
Construct and interpret scatter plots for bivariate
measurement data to investigate patterns of association
between two quantities. Describe patterns such as
clustering, outliers, positive or negative association, linear
association, and nonlinear association.
Know that straight lines are widely used to model
relationships between two quantitative variables. For
scatter plots that suggest a linear association, informally fit
a straight line, and informally assess the model fit by judging
the closeness of the data points to a line.
Module 22 Quiz
Instructional
Time Frame
Additional Resources
2 Day
Correlation
Finding Patterns
Trends in Scatter Plots
2 Day
Least-Squares Best Fit Lines
Trends in Scatter Plots
Solving Using Trend Lines
1 Day
Unit 10 – Statistics: Bivariate Data
Module 23 – Two-Way Tables
Start Date – 05/21/15
End Date – 06/01/15 (5/25 – Schools closed)
Section Number and Topic
Lesson 23.1: Two-Way Frequency Tables
Lesson 23.2: Two-Way Relative
Frequency Tables
Review and Assessment
Review and Assessment
Standards
Content
MAFS.8.SP.1.4
Practice
MP.6.1
Content
MAFS.8.SP.1.4
Practice
MP.8.1
Content
MAFS.8.SP.1.4
Content
MAFS.8.SP.1.1
MAFS.8.SP.1.2
MAFS.8.SP.1.3
MAFS.8.SP.1.4
Learning Target
Instructional
Time Frame
Understand that patterns of association can also be seen in
bivariate categorical data by displaying frequencies and
relative frequencies in two-way table. Construct and
interpret a two-way table…Use relative frequencies
calculated in rows or columns to describe possible
association between the variables.
Understand that patterns of association can also be seen in
bivariate categorical data by displaying frequencies and
relative frequencies in two-way table. Construct and
interpret a two-way table…Use relative frequencies
calculated in rows or columns to describe possible
association between the variables.
Module 23 Quiz
2 Days
Unit 10 Review
Unit 10 Test
2 Days
2 Days
1 Day
Additional Resources