8th Grade Scope and Sequence 2013

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8th Grade Scope and Sequence
Southeastern Utah Style 
Getting to know you activities and Review (8 days)
Solving Equations in One Variable (8.EE.7a,b) (17 days)
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One Step equations
Two step equations
Combining like terms
Variables on both sides (multi-step equations including the distributive property)
Application problems
Emphasize one solution, no solution, infinitely many solutions
Solve equations and formulas for a specified variable
Slope and Proportions (8.EE.5 and 8.EE.6) (12 days)
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Graphing a proportional relationship using a table, equation, or context
Unit rate of slope, interpretation of slope
Recognizing that proportion includes (0, 0)
Determine the slope of a line as the ratio of the leg lengths of similar right triangles
Explain why the slope is the same between any two distinct points on a line using similar
right triangles
Write an equation in the form y = mx + b from a graph of a line on the coordinate plane
Benchmark #1
Functions (8.F.1, 8.F.2, and 8.F.3) (7 days)
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Definition of a function (input/output)
Use tables and equations
Compare properties of two functions represented differently (i.e., rate of change)
y = mx + b as defining a linear function, use examples that are not linear
Linear Functions (8.F.4 and 8.F.5) (18 days)
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Determine and interpret the initial value and rate of change given two points, a graph, a
table of values, a geometric representation, or a story problem (verbal description) of a
linear relationship
Write the equation of a line given two points, a graph, a table of values, a geometric
representation, or a story problem (verbal description) of a linear relationship
Describe attributes of a function by analyzing a graph
Create a graphical representation given the description of the relationship between two
quantities
Systems of Equations (8.EE.8) (15 days)
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Solving systems of equations graphically
Solving systems of equations algebraically (substitution, elimination)
Understanding when you have one solution, no solution, infinitely many solutions
Application problems
Benchmark #2
Statistics (8.SP.1, 8.SP.2, 8.SP.3 and 8.SP.4) (7 days)
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Construct/interpret scatter plots for bivariate data
Describe the relationship (linear or nonlinear) also look at clustering, outliers, positive,
negative, or no association, and trend lines
Fit a line to scatter plots with linear association and assess the model fit, interpret the
slope and the y-intercept in context
Use a linear model to solve problems involving bivariate data
Construct a two-way frequency and a relative frequency table on two categorical
variables
Interpret/describe the association of data
Integer Exponent Rules and Scientific Notation (8.EE.1, 8.EE.3, and
8.EE.4) (18 days)
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Know and apply the properties of integer exponents
Express/estimate/operate on very large or very small quantities using scientific notation.
Interpret scientific notation generated by technology
The Number System (8.NS.1, 8.NS.2, and 8.EE.2) (11 days)
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Differentiate and convert between rational and irrational numbers
Approximate the value of irrational numbers, locate them on a number line, compare the
size of irrational numbers
Estimate expressions involving irrational numbers
Evaluate square roots and cube roots (perfect square and perfect cubes)
Represent solutions to equations (x2 = p and x3 = p)
Benchmark #3
Pythagorean Theorem and Distance Between Two Points (8.G.6, 8.G.7,
and 8.G.8) (10 days)
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Simplify Radicals
Understand the proof of the Pythagorean Theorem and its converse
Know and apply the Pythagorean Theorem and its converse
Use the Pythagorean Theorem to determine unknown side lengths
Find the distance between two points using the Pythagorean Theorem
Real world applications in two and three dimensions
Transformations (8.G.1, 8.G.2, 8.G.3, and 8.G.4) (13 days)
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Rotations, reflections, and translations, and congruence of pre-image and image
Describe the effect of dilations, translations, rotations, and reflections on twodimensional figures using coordinates
Understand that a two-dimensional figure is similar to another if the second can be
obtained from the first by a sequence of transformations
Given two similar figures, specify a sequence of transformations that exhibits the
similarity between them
Geometry (8.G.5 and 8.G.9) (9 days)
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Angle sum theorem
Exterior angle theorem
Parallel lines cut by a transversal and the angle properties associated with it (congruent,
supplementary)
Understand congruent and similar
Know and apply the formulas for the volumes of cones, cylinders, and spheres
Benchmark #4
1
Rule, Procedures,
Review, Unit 1,
Benchmark Tests
2
3
4
5
6
7
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9
Unit 1: Equations
Review Simplify
Linear Expressions
10
Solve One Variable
Linear Equations –
One Step Solve
11
Inquiry Lab: Two
Step Equations
12
Solve One Variable
Linear Equations –
Two Step
Equations
13
Solve One Variable
Linear Equations –
combining terms
15
Real-Life
Application
Problems
16
Solve One Variable
Linear Equation,
Variables on both
sides
17
Solve One Variable
Linear Equations,
Multi-Step
18
Real-Life
Application
Problems
14
Solve Linear
Equations in One
Variable with
distributive
property
19
Problem Solving:
Working Backward
on Multi-Step
Equations
21
Literal Equations Formulas
22
Write Symbolic
representations
for models
23
Different Solutions
to linear equations
24
Review for Unit 1
Test
25
Unit 1 Test
26
Unit 2
Unit Rates
27
Proportional
constants and
slope
28
Proportional
relations vs linear
relations
29
Right Triangles
and slope
30
Slope and
proportional
relationships
31
Slope from two
points
32
Rules for Tables
and graphs
33
Writing linear
equations form
tables
34
Writing equations
from graphs-graph
stories activity
35
Graphing from
y=mx + b
36
Review for Test
37
Unit 2 Test
38
39
40
41
42
43
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45
Benchmark Test 1
20
Literal Equations General
1
Unit 3
Function Intro
2
3
4
5
Functions, domain
and range
Evaluating
Functions
Linear vs. Nonlinear
Comparing
functions and rate
of change
6
Unit 3 Review
7
Unit 3 Test
8
Unit 4
Solving in the form
y = mx + b
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10
Solving in the form
y = mx + b
X and y intercepts
11
12
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14
15
X and y intercepts
Graph by solving
for y
Writing linear
equations from
stories
Writing Linear
equations from
tables
Point-slope
Given a point and
slope
16
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Unit 4 quiz review
19
Unit 4 Quiz
20
Point slope
Given two points
Graphing from
point-slope
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Standard Form
(chart)
All forms of linear
equations (chart)
Converting from
on form to
another
26
Unit 5
Solving Systems by
graphing
27
Standard form of a
linear equations
24
Unit 4 Review
25
Unit 4 Test
28
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30
Solving systems by
graphing
Solving Systems by
substitution
Solving Systems by
substitution
Solving systems by
substitution
31
32
Solving systems by
elimination
Solving systems by
elimination
33
Solving with
substitution and
elimination
Review
34
Solving systems
quiz review
35
Solving systems
Quiz
36
Story Problems
37
Story Problems
38
Story Problems
39
Unit 5 Review
40
Unit 5 Test
41
Benchmark
Test #2
42
43
44
45
1
Unit 6
Scatter Plots
2
3
4
5
Scatter Plots
Line of Best Fit
Line of Best Fit
Two – way Tables
6
7
9
10
Two – way Tables
Quiz Unit 6
8
Unit 7
Distributive
Property Review
Laws of
Exponents-Mult
Laws of
Exponents-Mult
11
12
13
14
15
Powers and
Products
Powers and
Products
Dividing with
Exponents
More Dividing
Review or Activity
16
17
18
19
20
Quiz Unit 7
Negative
Exponents
Negative
Exponents
Evaluating with
Exponents
Scientific Notation
21
22
23
24
25
Scientific Notation
Operations with
Scientific Notation
Real World
Problems
Review or Activity
Unit 7 Test
26
Unit 8
Rational and
Irrational Numbers
27
Conversions
(Fractions to
Decimals) %?
29
30
Reinforcement
Activity
Square Roots on a
Number Line
31
Solving with
Perfect Squares
and Cubes
32
34
Square Roots and
Order of
Operations
35
Estimating Square
Roots
28
Decimals to
Fractions and
Repeating
Decimals
33
Ordering on a
Number Line
Activity
36
37
38
39
40
Unit 8 Test
Benchmark #3
Review
Post Benchmark
#3
41
42
43
44
45
Review or Activity
1- Unit 9 Radicals
2
3
Intro to
Pythagorean
Theorem
4
Practice
Pythagorean
Theorem
5
Converse of
Pythagorean
Theorem Practice
Simplify Radicals
Simplify Radicals
6
Pythagorean
Theorem Story
Problems
7
8
9
10
Intro to Distance
Formula
Distance Formula
Practice
Review
Unit 9 Test
11- Unit 10 Trans.
12
13
14
15
Intro to
Transformations
Translations
Translations
Reflections
Reflections
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17
18
19
20
Rotations
Rotations
Congruence
Dilations
Dilations
21
22
23
24 Unit 11- Geo
25
Similarity
Review
Unit 10 Test
Angle Sum
Theorem
Exterior Angles
Theorem
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27
28
29
30
Parallel Lines cut
by a Transversal
Parallel Lines cut
by a Transversal
Volume Spheres
Volume cylinders
Volume cones
31
32
33
34
35
Review
Unit 11 Test
Benchmark #4
36
37
38
39
40
41
42
43
44
45
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