Download Mathematics Grade 8

Teacher: CORE
Course: Math Grade 8
O
c
t
o
b
e
r
Year: 2014-15
Month: All Months
Linear Equations in One Variable
Standards
Essential Questions
Assessments
2.2.8.B.3-Expressions
and Equations ~
Analyze and solve
linear equations and
pairs of simultaneous
linear equations.
Skills
Solve two step equations.
Solve two-step linear equations with rational number coefficients.
Solve linear equations with rational number coefficients, including
equations whose solutions require collecting like terms.
Solve linear equations with rational number coefficients, including
equations whose solutions require expanding expressions using the
distributive property and collecting like terms.
Solve linear equations with rational number coefficients, including
equations whose solutions require expanding expressions using the
distributive property.
Transform linear equations in one variable into simpler forms until
an equivalent equation with one solution (x = a), infinitely many
solutions (a = a), or no solution (a = b) results.
Content Lessons
Resources
Week of
September 29
Week of
October 6
Week of
October 13
Week of
October 20th
Week of
October 27
Linear Equations in One Variable
Standards
2.2.8.B.3-Expressions
and Equations ~
Analyze and solve
linear equations and
pairs of simultaneous
linear equations.
Essential Questions
Assessments
Skills
Solve two step equations.
Solve two-step linear equations with rational number coefficients.
Solve linear equations with rational number coefficients, including
equations whose solutions require collecting like terms.
Solve linear equations with rational number coefficients, including
equations whose solutions require expanding expressions using the
distributive property and collecting like terms.
Solve linear equations with rational number coefficients, including
equations whose solutions require expanding expressions using the
distributive property.
Transform linear equations in one variable into simpler forms until
an equivalent equation with one solution (x = a), infinitely many
solutions (a = a), or no solution (a = b) results.
Content Lessons
Resources
N
o
v
e
m
b
e
r
D
e
c
e
m
b
e
r
Integer Exponents
Essential
Questions
Standards
Assessments
2.2.8.B.1-Expressions and
Equations ~ Apply
concepts of radicals and
integer exponents to
generate equivalent
expressions.
Skills
Content
Use square root and cube root symbols to represent
solutions to equations of the form x^2 = p and x^3 = p,
where p is a positive rational number. Know that the
square root of 2 is irrational. (3-1 and 3-2)
evaluate square roots of small perfect squares. (3-1)
evaluate cube roots of small perfect cubes. (3-2)
know and apply the properties of integer exponents to
generate equivalent numerical expressions. (3-3 to 3-6)
Lessons
Resources
Week of November 3rd
Week of November 10th
Week of November 10th
Algebra Foundations
Week of November 17th
8th Grade Math
Week of November 17-21
Foundations of Algebra
Scientific Notation
Standards
Essential Questions
Assessments
CC.2.2.8.B.1Expressions and
Equations ~ Apply
concepts of radicals and
integer exponents to
generate equivalent
expressions.
Skills
Content
Use numbers expressed in the form of a single
digit times an integer power of 10 to estimate very
large or very small quantities. (4-1)
interpret scientific notation that has been generated
by technology. (4-1)
recognize numbers that are expressed in scientific
notation and understand how multiplying by a
power of 10 affects the values of numbers. (4-2
and 4-3)
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. (4-2, 4-3, 4-4)
perform operations with numbers expressed in
scientific notation, including problems where both
decimal and scientific notation are used. (4-4)
Lessons
Resources
Week of Dec. 1 8th Grade
Math
Week of Dec. 1 Algebra
Foundations
Week of December 8 8th
grade math and algebra
foundations
Proportional Relationships, Lines, and Linear Equations
Standards
CC.2.2.8.B.2Expressions and
Equations ~ Understand
the connections
between proportional
relationships, lines, and
linear equations.
Essential Questions
Assessments
Skills
Graph proportional relationships, interpreting the
unit rate as the slope of the graph. (5-1 and 5-4)
define the equation y = mx for a line through the
origin. (5-2 and 5-3)
compare two different proportional relationships
represented in different ways.(5-2, 5-3, and 5-4)
define the equation y = mx + b for a line
intercepting the vertical axis at b. (5-5 and 5-6)
Content
Lessons
Week of December 15th
Algebra Foundations and
8th Grade Math
Algebra Foundations and
8th Grade Math
Resources
J
a
n
u
a
r
y
F
e
b
r
u
a
r
y
Systems of Two Linear Equations
Standards
Essential Questions
Assessments
2.2.8.B.3-Expressions
and Equations ~
Analyze and solve
linear equations and
pairs of simultaneous
linear equations.
Skills
Content
Lessons
Apply and extend understanding of linear equations
in two variables to define a system of two linear
equations in two variables. (6-1, 6-5, and 6-6)
solve real-world and mathematical problems
leading to two linear equations in two variables (61)
analyze and solve pairs of simultaneous linear
equations (6-2, 6-4, 6-5, 6-6)
solve simple cases of systems of two linear
equations in two variables by inspection (6-2)
solve systems of two linear equations in two
variables by graphing the two equations in the same
rectangular coordinate plane and naming the
coordinates of the point of intersection of the two
lines (6-3).
Estimate solutions systems of two linear equations
in two variables by graphing the equations (6-3).
Solve systems of two linear equations in two
variables algebraically using substitution (6-4).
Week of January 19
Skills
Lessons
Resources
Week of February 9 8th
grade Math
Week of February 2 8th
Grade Math
Week of February 16
Defining and Comparing Functions
Standards
CC.2.2.8.C.1-Functions
~ Define, evaluate, and
compare functions.
Essential Questions
Assessments
name the set of ordered pairs represented by a
mapping diagram (7-1)
determine if a relation is a function using a
mapping diagram, table, or vertical line test (7-2)
represent a function using ordered pairs, a table, a
graph, and an equation. (7-2)
determine if a graph or table represents a linear
function (7-3)
calculate the rate of change from a graph or table
(7-3)
use linear functions to analyze situations, make
predictions, and draw conclusions (7-3)
determine if a function is linear or nonlinear (7-4)
determine if a table represents a nonlinear function
and explain why. (7-4)
determine if intervals are increasing, decreasing, or
constant (7-5)
sketch a graph to represent a given situation (7-6)
Content
Week of February 2 Alg.
Foundations
Week of February 9
Algebra Foundations
Week of February 23 8th
Grade Math
Week of February 23
Algebra Foundations
Week of March 2 8th
grade Math
Week of March 16 8th
Math
Resources
M
a
r
c
h
Linear Functions
Standards
Essential Questions
Assessments Skills
CC.2.2.8.C.2Functions ~ Use
concepts of functions
to model relationships
between quantities.
Content Lessons
match function rules to their graphs (8-1)
identify linear and nonlinear function rules (8-1)
write function rules based on real world situations (8-1)
calculate rates of change from graphs (8-2)
identify the rule of a linear function from a graph and/or table (8-2)
calculate rates of change from tables (8-2)
identify initial values of linear functions from equations (8-3)
identify rate of change, slope, y-intercept, initial value, and the function
rule from a real world situation (8-3)
compare rates of change of linear functions (8-4)
compare initial values of real world situations (8-4)
write linear functions rules when given initial values (8-5)
write linear function rules when initial values are not given (8-5)
Resources
Week of March 2
Algebra
Foundations
Week of March 16
Algebra
Foundations
Using The Pythagorean Theorem
Standards
Essential Questions
Assessments Skills
2.3.8.A.2-Geometry ~
Understand and apply
the Pythagorean
Theorem to solve
problems.
A Congruence
p
Essential Questions
r Standards
i CC.2.3.8.A.2l Geometry ~
Understand and apply
congruence, similarity,
and geometric
transformations using
various tools.
Content Lessons
calculate the missing side length of a right triangle using The
Pythagorean Theorem (12-2 and 12-3)
answer real world problems using The Pythagorean Theorem (12-2, 123, 12-5)
determine if a triangle is a right triangle using The Pythagorean
Theorem (12-4)
calculate the distance between two points on the coordinate plane (125)
classify a triangle graphed on a coordinate plane by its sides (12-5)
Assessments
Skills
classify transformations as translations, rotations, or
reflections (9-1, 9-2, 9-3)
graph transformations on a coordinate plane (9-1, 9-2, 9-3)
describe a transformation using arrow notation (9-1, 9-2, 93)
write a rule for translations using arrow notation (9-1)
identify the line of reflection (9-2)
identify the angle of rotation (9-3)
describe a sequence of rigid motions that maps a figure to its
congruent image (9-4)
identify congruent figures on a coordinate plane (9-4)
Resources
Week of March 23
Week of March 30
Content Lessons
Week of March
30th
Week of April 6th
Week of April 13
Resources
Surface Area and Volume
Standards
Essential Questions
Assessments
2.3.8.A.3-Geometry ~
Apply the concepts of
volume of cylinders,
cones, and spheres to
solve real-world and
mathematical
problems.
M Scatter Plots
a
y Standards
2.4.8.B.1-Statistics and
Probability ~ Analyze
and/or interpret
bivariate data displayed
in multiple
representations.
Skills
calculate the volume of a cylinder, cone, or sphere, including
those that require real world application (13-2, 13-4, 13-6)
describe how the volume of a cylinder or cone is affected
when the height or radius is changed (13-2, 13-4)
calculate the radius of a cylinder, cone, or sphere when
given the volume (13-2, 13-4, 13-6)
Essential Questions
Assessments
Skills
interpret a scatter plot (14-1)
construct a scatter plot (14-2)
identify clusters and outliers on a scatter plot (14-3)
identify an association on a scatter plot (14-4)
make predictions on a scatter plots (14-4)
identify reasonable trend lines (14-5)
write an equation of a trend line on a scatter plot (14-5)
make estimations using the equation of a trend line on a
scatter plot (14-6)
Content Lessons
Resources
Week of April 20th
Week of April 27th
Content Lessons
Week of May 4th
Week of May 11th
Week of May 18th
Week of May 25th
Resources