Download Math 8 Curriculum - GrandIslandMathematics

Math 8 Curriculum
Month
Concept
Measurement 
- Units of
Measurement
S
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P
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M
B
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Skill
Review of
proportions and
applications
(unit rate, scale
drawings,
similar figures,
converting
money)
Performance
Indicators
8.M.1 Solve
equations/proportions
to convert to equivalent
measurements within
metric and customary
measurement systems
Note: also allow
Fahrenheit to Celsius
and vice versa.
Vocabulary
Assessment
Resources
Ratio - A comparison
of two quantities.
Prentice Hall 6-3, 6-4, 6-6,
6-8
Proportion - An
equation that states
that two ratios are
equal.
Glencoe NYS review 3.1,
3.2, 3.3, 3.4, 3.5
Similar - In proportion.
Show Jumping, Keep it in
proportion; Compare ratio
and proportion; Assessment
- equivalent fractions, ratio
and proportion; Squidge City;
Area of similar shapes
worksheet #1 - 4; Similarity characteristics of similar
shapes (GSP)
PH 6-2, G 7.1
Shares - ratio and proportion
task; Matching customary
units; Matching metric units;
Milkshake factory; Chocolate
factory
Math 8 Curriculum
Month
S
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P
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M
B
E
R
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O
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O
B
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R
Concept
Number
sense and
Operations,
Estimation
Skill
Performance
Indicators
Vocabulary
Assessment
Resources
8.N.3 Read, write, and
identify percents less
than 1% and greater
than 100%.
PH 7-1, 7-3, G 4.3
8.N.4 Apply percents to:
Tax, Percent
increase/decrease,
Simple interest, Sale
price, Commission,
Interest rates,
Gratuities.
PH 7-4, 7-6, 7-7, 7-8,
G 4.5
8.N.5 Estimate a
percent of quantity,
given an application.
PH 7-2, G 4.6, 4.7
8.N.6 Justify the
reasonableness of
answers using
estimation.
Loop Cards; Space Racer;
Bungee Jump; Line up finding fractions and
percentages
Price Tags - % increaase &
decrease; Taxing problems % increase & decrease
Estimating answers to
percent calculations
Math 8 Curriculum
Month
Concept
Number
sense and
Operations
O
C
T
O
B
E
R
Skill
 Review of
Scientific
Notation,
Integer
Operations,
Properties of
Real numbers
Performance
Indicators
8.N.1 Develop and
apply the laws of
exponents for
multiplication and
division.
Vocabulary
Variable - A letter or
symbol used to
represent a number.
Exponent - A
mathematical notation
indicating the number
of times a quantity is
multiplied by itself.
Integers – The set of
whole numbers and
their opposites.
Absolute value – The
number of units
(distance) a number
is from zero.
8.N.2 Evaluate
expressions with
integral exponents.
Additive inverse – The
opposite of a number.
Assessment
Resources
PH 2-3, 2-4, 2-5, 2-8, 2-11
Converting to/from Scientific
Notation worksheet; Very
big, very small - multiply,
divide powers of 10; Get in
lane - add, subtract, multiply,
divide integers; Random
addition and subtraction of
positive/negative numbers;
Jungle Grub; Negative
numbers - adding and
subtracting negative
numbers worksheet;
Negative Switch
PH 2-6, 2-7, 2-10, G 4.1
Exponent check
AMSCO 8-7, G 4.2
Positive exponents and
parentheses worksheet; The
rules! negative exponents;
Negative exponents and
parentheses worksheets
#1 & 2
Math 8 Curriculum
Month
Concept
Algebra –
Variables and
Expressions
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Skill
Performance
Indicators
Vocabulary
Assessment
Resources
8.A.5 Use physical
models to perform
operations with
polynomials.
Coefficient - A number
multiplied by a
variable in an
algebraic expression.
PH 10-9, 10-10, G 5.6
8.A.7 Add and subtract
polynomials (integer
coefficients).
Polynomial – An
algebraic expression
that is the sum or
difference of terms.
A 8-1, 8-2, 9-1, 9-2, G 1.1,
5.7
Like terms - Terms
that have the same
variable raised to the
same power.
8.A.6 Multiply and
divide monomials.
8.A.8 Multiply a
binomial by a monomial
or a binomial (integer
coefficients).
Colored Rods; Number
classifier; Jungle Grub
Fashion Designer exponents software; Loads
of letters; Let’s get it together
- polynomials; Codebreaker simplification software
A 8-3, 8-4, 8-5, 8-6, G 5.8
Monomial - A number,
variable, or a product
of a number and one
or more variables.
Binomial - A
polynomial with two
terms.
Matching expressions
A 9-3, 9-4, 9-5, PH 10-11,
G 5.8
Matching expressions;
Multiplying binomials using
algebra tiles
A 9-6, 9-7, G 5.9
So simple - transforming
algebraic expressions
Math 8 Curriculum
Month
Concept
Algebra –
Variables and
Expressions
N
O
V
E
M
B
E
R
/
D
E
C
E
M
B
E
R
Skill
 Review of GCF
and prime
factorization.
Performance
Indicators
8.A.9 Divide a
polynomial by a
monomial (integer
coefficients) Note: The
degree of the
denominator is less
than or equal to the
degree of the
numerator for all
variables.
Vocabulary
FOIL – A method used
to multiply binomials.
Assessment
Resources
A 9-6, 9-7, G 5.9
So simple - transforming
algebraic expressions
8.A.10 Factor algebraic
expressions using the
GCF
PH 5-1
8.A.11 Factor a
Trinomial - A
trinomial in the form ax2 polynomial with three
+ bx + c; a=1 and c
terms.
having no more than
three sets of factors.
A 13-2, G 5.10
Haunted house; Space
Racer; Factor block - prime
factorization
So simple - transforming
algebraic expressions
A 13-7, 13-8, G 5.12
It’s a factor - factoring
algebraic expressions; What
an expression - factoring
simple quadratic equations
task
Math 8 Curriculum
Month
Concept
Geometry –
Geometric
Relationships
D
E
C
E
M
B
E
R
Skill
 Review
Pythagorean
Theorem
Performance
Indicators
7.G.6 Explore the
relationship between
the lengths of the three
sides of a right triangle
to develop the
Pythagorean Theorem
Vocabulary
Acute angle – An
angle with measure
greater than 0
degrees & less than
90.
Assessment
Resources
PH 5-10, G 2.1, 2.2, 2.3
Obtuse angle – An
angle with measure
greater than 90
degrees & less than
180.
Algebra Equations
and
Inequalities
 Review solving
multi-step
equations
Right angle – An
angle with measure
equal to 90 degrees.
G 1.2
The Scientist’s secret algebra software; Tricky
equations - solving linear
equations task; Think of a
number - constructing and
solving equations
Math 8 Curriculum
Month
J
A
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U
A
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Y
Concept
Skill
Geometry –
Geometric
Relationships
 Review of
proportions and
applications (unit
rate, scale
drawings, similar
figures,
converting
money)
Performance
Indicators
8.G.1 Identify pairs of
vertical angles as
congruent.
Vocabulary
Congruent - Equal
measures.
Assessment
Resources
PH 8-2, A 11-3, G 6.1
Animation of Angle
properties
Vertical angles – A
pair of non-adjacent
angles formed by
intersecting lines, are
opposite the common
vertex.
8.G.2 Identify pairs of
supplementary and
complementary angles.
Adjacent – A pair of
angles that are next to
each other.
8.G.3 Calculate the
missing angle in a
supplementary or
complementary pair.
Perpendicular Intersecting at a right
angle.
Complementary
angles - Two angles
whose measures have
a sum equal to 90
degrees.
Supplementary angles
- Two angles whose
measures have a sum
equal to 180 degrees.
PH 8-2, A 11-3, G 6.2
Angle search 1 (GSP)
Math 8 Curriculum
Month
Concept
Geometry –
Geometric
Relationships
J
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F
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Skill
Performance
Indicators
8.G.4 Determine angle
pair relationships when
given two parallel lines
cut by a transversal.
8.G.5 Calculate the
missing angle
measurements when
given two parallel lines
cut by a transversal.
8.G.6 Calculate the
missing angle
measurements when
given two intersecting
lines and an angle.
8.A.12 Apply algebra to
determine the measure
of angles formed by or
contained in parallel
lines cut by a
transversal and by
intersecting lines.
Vocabulary
Parallel - constant
distance apart, never
intersecting.
Corresponding angles
– A pair of nonadjacent angles, on
same side of
transversal, in same
position.
Alternate interior
angles - A pair of nonadjacent angles,
inside of parallel lines,
on opposite sides of
transversal.
Alternate exterior
angles - A pair of nonadjacent angles,
outside of parallel
lines, on opposite
sides of transversal.
Assessment
Resources
PH 8-2, 8-4, A 11-3, 11-4,
G 6.3, 6.4
Angles between parallel
lines worksheet; Find the
angle! alternate and
corresponding angles
Math 8 Curriculum
Month
J
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F
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A
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Concept
Geometry –
Transformational
Geometry
Skill
 Review
Coordinate Plane
(plotting points
and quadrants)
Performance
Indicators
Vocabulary
Assessment
Resources
8.G.7 Describe and
identify transformations in
the plane, using proper
function notation
(rotations, reflections,
translations, and
dilations).
PH 4-1
Treasure hunt - find
coordinate points
PH 4-8, 4-9, 4-10, 6-5,A 119,
G 6.6
Transform - combined
transformations (GSP) task
8.G.8 Draw the image of a
figure under rotations of
90 and 180 degrees.
PH 4-10, G 6.7
Rotation tool; Rotational
symmetry; Fishy
transformations (GSP)
PH 4-9, G 6.8
Frieze patterns
8.G.9 Draw the image of a
figure under a reflection
over a given line.
8.G.10 Draw the image of
a figure under a
translation.
8.G.11 Draw the image of
a figure under a dilation.
8.G.12 Identify the
properties preserved and
not preserved under a
reflection, rotation,
translation, and dilation.
PH 4-8, G 6.10
Crazy paving; Fishy
transformations - combined
transformations task
PH 6-5, G 6.11
Growth - enlargement of 2D
shapes
PH 4-8, 4-9, 4-10, 6-5,
A 11-9, G 6.12
Order, order; Make a square
Math 8 Curriculum
Month
Concept
Algebra –
Variables and
Expressions
F
E
B
R
U
A
R
Y
Skill
Performance
Indicators
Vocabulary
Assessment
Resources
8.A.1 Translate verbal
sentences into
algebraic inequalities.
PH 2-2, 3-8, A 10-11,
G 5.1, 5.2
8.A.2 Write verbal
expressions that match
given mathematical
expressions.
Formula Two - considering
formulas and change of
subject task
Math 8 Curriculum
Month
Concept
Algebra –
Patterns,
Relations and
Functions
F
E
B
R
U
A
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Y
Skill
Performance
Indicators
Vocabulary
Assessment
Resources
8.A.3 Describe a
situation involving
relationships that
matches a given graph.
PH 10-6, G 5.3
Bath time; Bike rides; Cycle
ride; Circuit racer
8.A.4 Create a graph
given a description or
an expression for a
situation involving a
linear or nonlinear
relationship.
PH 4-2, PH 10-7, 10-8,
G 1.3, 1.4, 1.5, 1.6, 1.7, 1.8,
5.4
Distance/time graph
worksheet; Find the graph interpreting height time
graphs
8.A.15 Understand that
a numerical information
can be represented in
multiple ways:
arithmetically,
algebraically, and
graphically.
8.A.16 Find a set of
ordered pairs to satisfy
a given linear numerical
pattern (expressed
algebraically); then plot
the ordered pairs and
draw the line.
A 17-4, PH 4-2
Inclined - investigating
equations of the line
Math 8 Curriculum
Month
Concept
Algebra –
Equations
and
Inequalities
M
A
R
C
H
Skill
Performance
Indicators
Vocabulary
Assessment
Resources
8.G.19 Graph the
solution set of an
inequality on a number
line.
PH 3-8, 3-9, 3-10, A 7-2,
A 10-10
8.A.13 Solve multi-step
inequalities and graph
the solution set on a
number line.
Solve it - solving equations
task; Balancing act II solving linear equations
8.A.14 Solve linear
inequalities by
combining like terms,
using the distributive
property, or moving
variables to one side of
the inequality (include
multiplication or division
of inequalities by a
negative number).
PH 3-8, 3-9, 3-10, A 10-10
Equity - constructing and
solving equations with
unknowns on both sides;
Solving inequalities using a
number line; Solving
inequalities worksheet #1- 4
Math 8 Curriculum
Month
Concept
Algebra –
Patterns,
Relations and
Functions
M
A
R
C
H
Skill
Performance
Indicators
8.A.17 Define and use
correct terminology
when referring to
function (domain and
range).
Vocabulary
Assessment
Resources
PH 10-2
What’s the rule?; Function
pairs game
PH 10-4, 10-6, A 17-4, 17-7
8.A.18 Determine if a
relation is a function.
8.A.19 Interpret multiple
representations using
equation, table of
values, and graph.
Function machines; Function
mania
Math 8 Curriculum
Month
Concept
Geometry –
Coordinate
Geometry
M
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A
P
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Continue…
Skill
Performance
Indicators
Vocabulary
Assessment
Resources
8.G.15 Graph a line
using a table of values.
PH 4-2, 10-3, A 17-4
Coordinate pairs and their
graphs; Straight lines discussing and interpreting
graphs; Straight lines again
8.G.13 Determine the
slope of a line from a
graph and explain the
meaning of slope as a
constant rate of
change.
PH 4-3, A 17-6
Graph classifier software;
Graph match - finding the
equations
8.G.14 Determine the yintercept of a line from
a graph and be able to
explain the y-intercept.
PH 4-4, A 17-8
Take Two - equations of
straight lines
Math 8 Curriculum
Month
Continue
Concept
Continue…
Geometry –
Coordinate
Geometry
M
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A
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Skill
Performance
Indicators
Vocabulary
Assessment
Resources
8.G.16 Determine the
equation of a line given
the slope and the yintercept.
PH 4-6, A 17-9
Limited information
8.G.17 Graph a line
from an equation in
slope-intercept form ( y
= mx + b).
PH 4-2, A 17-10
Finding slopes - graphs of
linear functions
8.G.18 Solve systems
of equations graphically
(only linear, integral
solutions, y = mx + b
format, no
vertical/horizontal
lines).
PH 4-7, A 18-1
Cellular price plans
Math 8 Curriculum
Month
Concept
Geometry –
Coordinate
Geometry
A
P
R
I
L
Geometry –
Constructions
Skill
Performance
Indicators
Vocabulary
Assessment
Resources
8.G.20 Distinguish
between linear and
nonlinear equations ax2
+ bx + c; a=1 (only
graphically).
PH 10-7, 10-8, A 20-7
Things that travel interpreting real life graphs
8.G.21 Recognize the
characteristics of
quadratics in tables,
graphs, equations, and
situations.
PH 10-7, 10-8, A 20-7
Evaluating linear and
quadratic expressions
worksheet; Round the bend graphing quadratic and cubic
functions
8.G.0 Construct the
following using a
straight edge and
compass: Segment
congruent to a
segment, Angle
congruent to an angle,
Perpendicular bisector,
Angle bisector.
PH 8-3, pg. 597
Compass animations constructions