SWAMPSCOTT MIDDLE
SCHOOL GRADE 8 –
MATH SCOPE &
SEQUENCE FOR CMP3
This document is only a guide. It is suggested to be used as a starting point
and modified for each school year. Subsequent documents including
vocabulary, remediation, and assessments (both formative and summative)
should be added as they are created. It is also suggested that a printable
copy and a digital copy be accessible to any instructor of 8th grade
mathematics.
Swampscott Middle School
Texts
Grade 8
Scope and Sequence
Term One
Thinking With Mathematical Models
CMP3
30 days
Purpose
To introduce students to the methods used my mathematicians to analyze data, including graphs, words, tables, and
equations.
Goals: Students should be able to:
 Represent data using graphs, tables, words, and expressions.
 Recognize the difference between linear and nonlinear relationships.
 Interpret the meaning of data representations and use the data to make predictions.
 Discover patterns and express those patterns in symbolic form.
 Solve linear equations in one variable.
 Understand what a function is.
 Compare functions in various formats.
 Know that lines can be represented in the form y = mx + b.
 Recognize that a line of best fit can be used to predict (interpolate and extrapolate) outcomes.
Investigation Pacing
1
4 days
Standards
8.FA.3
8.FB.5
8.SP.A.1
8.SP.A.2
8.SP.A.3
Activities
Bridge
Experiments
ACE Problems
Supplemental Materials
Materials for experiments (pennies, paper bridges of
various lengths, books)
1
Swampscott Middle School
2
9 days
3
5 days
4
5 days
8.EE.B.5
8.EE.C.7.B
8.EE.C.8
8.EE.C.8a
8.EE.C.8c
8.F.A.1
8.F.A.2
8.F.A.3
8.F.B.4
8.F.B.5
8.SP.A.1
8.SP.A.2
8.SP.A.3
8.EE.B.5
8.F.A.1
8.F.A.3
8.F.B.5
9.SP.1
8.EE.B.5
8.F.A.1
8.F.A.3
8.F.B.4
8.F.B.5
8.SP.A.1
8.SP.A.2
8.SP.A.3
Grade 8
Scope and Sequence
Climbing
Monkeys
(DASH)
CMP3
Equation practice worksheets
http://www.kutasoftware.com/free.html
Graphing Calculators
Looking at pizza
sizes with
additional
toppings
http://achievethecore.org/content/upload/Grade%208%
20Mathalicious%20lesson%20%20Domino%20Effect%20final06.24.14.pdf
Finding residuals Illustrative Mathematics Examples
Using density
https://www.illustrativemathematics.org/8
for inverse
variation
Arm length and
height
Standard Deviation and MAD
2
Swampscott Middle School
5
4 days
Assessments
Total days
Grade 8
Scope and Sequence
CMP3
8.EE.B.5
8.SP.A.4
Two Way Table
Review: Relative Frequency and Percents
creation of
https://www.illustrativemathematics.org/illustrations/97
Categorical Data 3
Math XL pre-test
Warm ups/Exit Questions
CMP Assessments
Math XL
Teacher Made Assessments
Linear or Non-Linear?
Variable on one side equations
Y = mx + b
Line of Best Fit and Golfing
Project1: Linear vs Non Linear relationships Students will create a Freyer Model (8.5
x 11in size) of a Linear Function similar to
http://mathequalslove.blogspot.com/2014/02/linear-vs-non-linear-functions-inbpages.html
Project 2: Categorical Study…..survey 50 boys and 50 girls using categorical
information. Create Two Way Table and use percents to analyze the data. Similar to
https://www.illustrativemathematics.org/illustrations/1098
30 days
3
Swampscott Middle School
Grade 8
Scope and Sequence
CMP3
Term One(Continued)
Texts
Looking for Pythagoras (Investigations 1 and 2))
15 days
Goals: Students should be able to:
 Determine horizontal and vertical distances on a coordinate grid.
 Measure distance between 2 points.
 Calculate area of square figures.
 Calculate areas of triangular figures.
 Estimate side length of a square figure given the area.
Investigation
1
Pacing
5 days
2
5days
Standards
8.G.B.6
8.G.B.8
8.NS.A.1
8.EE.A.2
8.G.B.6
8.G.B.7
8.G.B.8
Activities
Supplemental Materials
Geoboards
Irrational Numbers using an estimate vs using
the radical. Which
produces the best result?
Ordering Irrational
Numbers
Assessments
Math XL pre-test
Warm ups/Exit Questions
CMP Assessments
4
Swampscott Middle School
Grade 8
Scope and Sequence
CMP3
Math XL
Teacher Made Assessments
 Pythagorean Theorem Worksheet 1
 End of LFP Test
15 days
5
Swampscott Middle School
Grade 8
Scope and Sequence
Term Two
Looking for Pythagoras (Investigations 3,4 and 5)
Texts
Goals: Students should be able to:
 Apply the Pythagorean Theorem to find an unknown side of a right triangle.
 Use the Pythagorean Theorem to find the distance between two locations on a plane.
 Explain a proof of the Pythagorean Theorem.
 Recognize similar right triangles (3-4-5 to 6-8-10) etc.
 Represent rational numbers as terminating or repeating decimals.
 Convert repeating decimals to rational format.
 Identify rational and irrational numbers.
 Locate irrational numbers on a number line.
Investigation
3
Pacing
5 days
4
5 days
5
5 days
Standards
8.G.B.6
8.G.B.7
8.G.B.8
8.NS.A.1
8.NS.A.2
8.EE.A.2
8.EE.C.7
8.G.B.7
8.G.A.4
8.G.B.7
8.G.B.8
CMP3
20 days
Activities
Supplemental Materials
DASHhttp://www.mathwarehouse.com/geometry/triangles/how-toInteractive use-the-pythagorean-theorem.php
Pythagoras
http://www.kidsnumbers.com/pythagorean-theorem-game.php
http://olgasediako.wikispaces.com/file/view/Worksheet+Pythagorean+Th
eorem.pdf
Similar
Right
Triangles
and
6
Swampscott Middle School
Assessments
Grade 8
Scope and Sequence
CMP3
Proportions
Math XL pre-test
Warm ups/Exit Questions
CMP Assessments
Math XL
Teacher Made Assessments
 LFP (Looking for Pythagoras) Unit 4
 Pythagorean Theorem Worksheet 1
 Pythagorean Theorem Test 2013
Project1: Who was Pythagoras? A Report
Project 2: Creating a visual of a proof of the Pythagorean Theorem
Enrichment: Adapted from NCTM…. The Pythagorean Theorem and Jelly Beans
http://www.wou.edu/~burtonl/courses/math494.594/PythagoreanTheoremJellyBeansJoh
nson.pdf
7
Swampscott Middle School
Grade 8
Scope and Sequence
CMP3
Term Two (cont.)
Growing, Growing, Growing (Investigations 3,4 and 5)
Texts
20 days
Goals: Students should be able to:
 Determine situations modeled with exponential functions.
 Represent an exponential function with a table, equation, and graph.
 Identify the growth/decay factor for an exponential function.
 Compare linear and exponential functions.
 Write numbers from scientific notation to standard form and from standard form from scientific notation.
 Know the laws of exponents and use them to evaluate expressions.
Investigation Pacing
Standards
Activities
Supplemental Materials
1
3days
8.F.A.1
8.F.A.2
8.F.A.3
8.F.B.4
8.F.B.5
2
3days
3
4days
8.EE.A.3
8.F.A.1
8.F.B.5
8.EE.A.3
4
0days
Addresses
Using the ti84 calculator
to explore
exponential
functions
http://www.nsa.gov/academia/_files/collected_learning
/high_school/algebra/exploring_exponential_growth.pd
f
http://www.regentsprep.org/regents/math/algebra/ae
7/expdecayl.htm
What does
scientific
notation look
like on a
calculator?
Graphing Calculators
Note: Exponential Decay may be looked at using
8
Swampscott Middle School
5
Assessments
10days
Grade 8
Scope and Sequence
Algebra
8.EE.A.1
Ions of
8.EE.A.2
Hydrogen
8.EE.A.4
(Science)
8.F.A.1
8.F.A.3
Math XL pre-test
Warm ups/Exit Questions
CMP Assessments
Math XL
Teacher Made Assessments
CMP3
technology when looking at growth factors
Connection of negative exponents to chemistry
Project1: How do Americans use Water? (based on problem 5.4) poster presentation
using scientific notation
Project2: The planets and scientific notation. Poster depicting the planets distance
from the sun using pictures and scientific notation.
++This unit may be tied into the PD project on The Planet Walk where distances
between planets and/or to the sun may be compared using scientific notation and
exponents
Term Two(cont)
Texts
Math XL
5 days
Administer Mathxl mid year and modify/review as necessary
9
Swampscott Middle School
Grade 8
Scope and Sequence
CMP3
45 days
Term Three
Say It With Symbols
Texts
30 days
Goals: Students should be able to:
 Use the Distributive Property to write equivalent expressions.
 Solve equations in one variable with one, none, and infinite solutions.
 Recognize when two expressions are equivalent.
 Use formulas of volumes for cones, spheres, and cylinders.
 Compare linear, exponential, and quadratic graphs.
 Identify the characteristics of a graph by looking at its symbolic representation.
Investigation Pacing
Standards
Activities
Supplemental Materials
1
5 days
8.EE.C.7
8.EE.C.7b
2
5 days
3
10 days
8.EE.C.7b
8.F.A.1
8.F.A.2
8.F.A.3
8.G.C.9
8.EE.A.2
8.EE.C.7a
8.EE.C.7b
8.EE.8
Using the
Distributive
Property and
Combing Like
Terms
Volume of
Spheres,
Cones,
Cylinders
Algebra Tiles
Power solids
Note: Quadratics (3.3 and 3.4) need not be done in pre
algebra
https://www.kutasoftware.com/free.html
https://www.illustrativemathematics.org/illustrations/5
83
10
Swampscott Middle School
4
5 days
5
5 days
Assessments
Grade 8
Scope and Sequence
CMP3
8.EE.8a
8.EE.8b
8.EE.8c
8.F.A.1
8.EE.C.7b
8.F.B.4
8.F.B.5.
8.EE.C.7b
Math XL pre-test
Warm ups/Exit Questions
CMP Assessments
Math XL
Teacher Made Assessments
http://www.buncombe.k12.nc.us/Page/36165 (online videos and worksheets for each
standard)
11
Swampscott Middle School
Grade 8
Scope and Sequence
CMP3
Term Three(cont.)
It’s In the System
Texts
15 days
Goals: Students should be able to:
 Graph linear relationships in the form y = mx + b and Ax + By = C
 Determine if a system has a solution, has no solution, or has multiple solutions.
 Identify the solution to a system as a point of intersection of two or more equations.
 Interpret the solution of a system in the context of a real world problem.
 Connect standard form of a linear equation to that of slope intercept form of a linear equation.
Investigation Pacing
Standards
Activities
Supplemental Materials
1
5days
8.EE.C.8
8.EE.C.8a
8.EE.C.8b
8.EE.C.8c
2
5days
3
5days
Comparing
equivalent
forms of
linear
equations
8.EE.C.8a
Comparing
8.EE.C.8c
Security
Services
Math XL pre-test
Warm ups/Exit Questions
CMP Assessments
Assessments
Shirts and
Caps
Graphing Calculators
Creating systems with given criteria
https://www.illustrativemathematics.org/illustrations/5
54
12
Swampscott Middle School
Grade 8
Scope and Sequence
CMP3
Math XL
Teacher Made Assessments
Project1: Real World Linear Systems
http://www.centerforcsri.org/webcasts/algebra/linear_equations.pdf
Total Days
45
13
Swampscott Middle School
Grade 8
Scope and Sequence
Term Four
Butterflies, Pinwheels, and Wallpaper
Texts
Goals: Students should be able to:
 Recognize the properties of rotations, reflections, and translations
 Understand that lines are taken to lines, angles to angles, and parallel lines to parallel lines
 Recognize the congruency of rotated, reflected, or translated shapes
 Understand that a dilation produces a similar figure
 Understand the relationships formed with parallel lines cut by a transversal
Investigation Pacing
Standards
Activities
Supplemental Materials
1
2.5 days
2
2.5 days
8.G.A.1
8.G.A.1a
8.G.A.1b
8.G.A.1c
8.G.A.2
3
2.5 days
8.G.A.3
CMP3
10 days
Rulers, protractors, colored pencils
Cutting a
rectangle
into 2
congruent
triangles
Moving
shapes on a
transmograp
her
https://www.illustrativemathematics.org/illustrations/1
230
http://www.shodor.org/interactivate/activities/Transm
ographer/
14
Swampscott Middle School
4
Assessments
2.5 days
Grade 8
Scope and Sequence
8.G.A.4
Find the
8.G.A.5S
missing angle
Math XL pre-test
Warm ups/Exit Questions
CMP Assessments
Math XL
Teacher Made Assessments
CMP3
https://www.illustrativemathematics.org/illustrations/5
6
Project1: Using Symmetry to Create a Corporate LOGO http://wwwtc.pbs.org/teachers/mathline/concepts/designandmath/Act2Student.pdf
15
Swampscott Middle School
Grade 8
Scope and Sequence
Term Four(cont.)
State Testing
Texts
CMP3
3 days
plus 5 days for project
Goals: Students should be able to:
 Feel comfortable with the state testing
 Score well based on their past performances
This is a good project to do after the state testing as it gives the students a chance
Assessments
to be creative and also a chance to unwind.
Project1: Using Symmetry to Create a Corporate LOGO http://wwwtc.pbs.org/teachers/mathline/concepts/designandmath/Act2Student.pdf
Term Four (cont.)
Function Junction
Texts
Goals: Students should be able to:
 Identify the domain and range of a function.
 Determine if a relationship is a function.
 Evaluate, graph, and describe a function given a verbal description.
 Compare functions given in different formats, i.e., words, tables, graphs, and equations.
Investigation Pacing
Standards
Activities
Supplemental Materials
1
5days
8.F.A.2
Comparing
Battery life
20 days
https://www.illustrativemathematics.org/illustrations/6
41
16
Swampscott Middle School
2
5days
8.F.B.5
3
5days
8.F.1
8.F.2
8.F.3
8.F.4
8.F.5
General
Review
Total Days
5days
Grade 8
Scope and Sequence
given
different
formats
Looking at
Tide Graphs
Videos for
function
work
CMP3
https://www.illustrativemathematics.org/illustrations/6
28
http://www.buncombe.k12.nc.us/Page/36166
Math XL End of Year Assessment
38
Note: Eighth Grade Students generally participate in the school field trip to Washington, DC (4 days), a move up
day at the High School(1 day) and 2 days for graduation and field day.
17