monrovia unified school district …€¢know, apply and simplify all exponent properties scientific...
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Monrovia Unified School District Math 8 Page 1 of 11
Instructional Pacing Guide Updated: 8/7/2013
MONROVIA UNIFIED SCHOOL DISTRICT
INSTRUCTIONAL PACING GUIDE
Math 8 “World Class Schools for World Class Students”
Grading Period Chapters Standards
1 - August 21st- October 11th (7 weeks)
1 and 2 NS1, NS2, EE1, EE2, EE3, EE4, EE7*
2 - October 14th - December 20th (9 weeks)
3 and 4 EE5*, EE6, EE8*, F1, F2*, F3, F4, F5
3 - January 7th - March 10th (10 weeks)
5 and 6 G5, G6, G7*, G8, EE2, G1, G3
4 - March 17th - June 6th (10 weeks)
7, 8, 9 G1, G2, G4, G5, EE6, G9, SP1, SP2, SP3, SP4
* Depth opportunities as identified in Areas of Emphases
Major Cluster Supporting Cluster Additional Cluster
Standard
Glencoe
Lessons
Big Ideas
(Concepts to be Understood)
Timing
(Days)
Skills/Procedures Differentiation &
Intervention
(SIOP, SDAIE, RTI)
Additional Resources
8.NS.A.1 1.1 Fractions and decimals are two different ways of writing the same
amount.
•Convert terminating decimals to
fractions and vice versa
•Convert repeating decimals to
fractions and vice versa
Green 2-1
8.EE.A.2 1.8, 1.9, 5.5, 5.6, 5.7 Find roots of numbers using square and volume models. Find square roots and cube root
Red 1-5
Department Math
Course Name MATH 8
Grade Level 8th
Instructional Reference
Materials
Holt Pre-Algebra, Holt Algebra. Glencoe Math Course 3
Monrovia Unified School District Math 8 Page 2 of 11
Instructional Pacing Guide Updated: 8/7/2013
Standard
Glencoe
Lessons
Big Ideas
(Concepts to be Understood)
Timing
(Days)
Skills/Procedures Differentiation &
Intervention
(SIOP, SDAIE, RTI)
Additional Resources
KEY: Major Cluster Supporting Cluster Additional Cluster
8.NS.A.2 1.9, 1.10 All numbers within the real number system can be represented and
compared in other ways (as fractions and decimals).
•Approximate irrationals numbers:
between two whole number, with
decimal approximations.
•Place irrational numbers on a
number line
Green 4-7
Something like this..
8.NS.A.1 1.10 Understand how classification systems work.
•Identify numbers as
rational/irrational
Green 4-8
Monrovia Unified School District Math 8 Page 3 of 11
Instructional Pacing Guide Updated: 8/7/2013
Standard
Glencoe
Lessons
Big Ideas
(Concepts to be Understood)
Timing
(Days)
Skills/Procedures Differentiation &
Intervention
(SIOP, SDAIE, RTI)
Additional Resources
KEY: Major Cluster Supporting Cluster Additional Cluster
8.EE.A.1 1.2, 1.3, 1.4, Problem
solving investigation
1.5
•Know, apply and simplify zero
exponent rule and negative exponent
rule.
Red 7-1
8.EE.A.3 1.6, 1.7 Understand that scientific numbers is a way to express very small and
very large numbers in a concise way.
•Convert numbers to and from
scientific notation and standard form
Red 7-2
8.EE.A.1
8.EE.A.3
1.2, 1.3, 1.4, Problem
solving investigation
1.5
Use Multiplication Exponent rules to manipulate expressions written
in scientific notation.
•Know, apply and simplify product
of powers property
•Know, apply and simplify power of
a power property
•Know, apply and simplify power of
a product property
Red 7-3
8.EE.A.1
8.EE.A.3
1.2, 1.3, 1.4, Problem
solving investigation
1.5, 1.7
Use Division Exponent rules to manipulate expressions written in
scientific notation.
•Know, apply and simplify quotient
of powers property
•Know, apply and simplify positive
power of a quotient property
•Know, apply and simplify negative
power of a quotient property
Red 7-4
8.EE.A.4 1.6, 1.7 Use all Exponent rules to manipulate expressions written in scientific
notation.
•Know, apply and simplify all
exponent properties
Scientific Notation -
Addition and
Subtraction
Scientific Notation -
Multiplication and
Division
Scientific Notation
Word Problems
Monrovia Unified School District Math 8 Page 4 of 11
Instructional Pacing Guide Updated: 8/7/2013
Standard
Glencoe
Lessons
Big Ideas
(Concepts to be Understood)
Timing
(Days)
Skills/Procedures Differentiation &
Intervention
(SIOP, SDAIE, RTI)
Additional Resources
KEY: Major Cluster Supporting Cluster Additional Cluster
8.EE.B.5 3.1, 3.2, 3.3 Interpret the unit rate as the slope of the line •Graph proportional relationships Red 5-3 (Example 5)
Use Problem Solving
worksheet
8.EE.B.5 3.1, 3.2, 3.3 Use graphs and equations to make comparisons of real-world
situations.
•Compare two different proportional
relationships given a graph and an
equation (such as distance-time to
determine which of the two is
moving at a higher rate of speed.)
Building Bridges
Activity
8.EE.B.6 3.3, 3.4, 7.6 Understand the relationship between graphs and equations and that
you can use a graph to derive an equation in slope-intercept form.
•Find the slope of a line given a
picture of the graph and use similar
triangles to come up with the slope.
•Write the equation y=mx+b using
that slope and the y-intercept.
Red 5-3 (Examples 1
and 2, not using
formula)
8.EE.C.7a Chapter 2 •Understand inverse relationships
•To solve a two-step equations, you are undoing the Order of
Operations (starting at the end and working to the beginning.)
•Solve two-step equations Red 2-2
8.EE.C.7b Chapter 2 •Solve multi-step equations
including equations requiring
combining like terms and
simplifying the Distributive
Property.
Red 2-3
Monrovia Unified School District Math 8 Page 5 of 11
Instructional Pacing Guide Updated: 8/7/2013
Standard
Glencoe
Lessons
Big Ideas
(Concepts to be Understood)
Timing
(Days)
Skills/Procedures Differentiation &
Intervention
(SIOP, SDAIE, RTI)
Additional Resources
KEY: Major Cluster Supporting Cluster Additional Cluster
8.EE.C.7b Chapter 2 Explain why some equations why some equations have no solution,
or an infinite number of solutions.
•Solve multi-step equations with
variables on both sides.
•Identify the difference between
equations with no solutions and an
infinite number of solutions.
Red 2-4
8.EE.C.8a 3.5, Problem Solving
Investigation, 3.6,
3.7, 3.8
Understand that the point of intersection is the solution to both of the
related equations.
Graph two linear equations and find
the point of intersection.
Red 6-1
8.EE.C.8b 3.5, Problem Solving
Investigation, 3.6,
3.7, 3.8
Use a mathematical procedure to find a solution to 2 equations allows
us to solve systems with fractions and decimal answers, eliminates
man made errors, and allows us to solve systems with a line graphed
very far from the origin.
Conditional knowledge:
Solve a system of equations using
substitution.
Red 6-2
8.EE.C.8b 3.5, Problem Solving
Investigation, 3.6,
3.7, 3.8
Use a mathematical procedure to find a solution to 2 equations allows
us to solve systems with fractions and decimal answers, eliminates
man made errors, and allows us to solve systems with a line graphed
very far from the origin.
Conditional knowledge:
Solve a system of equations using
elimination.
Red 6-3
Monrovia Unified School District Math 8 Page 6 of 11
Instructional Pacing Guide Updated: 8/7/2013
Standard
Glencoe
Lessons
Big Ideas
(Concepts to be Understood)
Timing
(Days)
Skills/Procedures Differentiation &
Intervention
(SIOP, SDAIE, RTI)
Additional Resources
KEY: Major Cluster Supporting Cluster Additional Cluster
8.EE.C.8b 3.5, Problem Solving
Investigation, 3.6,
3.7, 3.8
Understand why lines that are parallel to each other have no solution
(8=4).
Understand why lines that are graphed on top of each other have an
infinite number of solutions (7=7).
Solve special system of equations Red 6-4
8.EE.C.8b 3.5, Problem Solving
Investigation, 3.6,
3.7, 3.8
Choose a method for solving
systems
8.EE.C.8c 3.5, Problem Solving
Investigation, 3.6,
3.7, 3.8
We can use systems of equations to solve real-world problems. Application of solving systems of
equations
Red 6-2 (Example 3)
Red 6-3 (Example 4)
Red 6-5 (Example 2)
Swim Lesson
Quinoa Lesson
Suggested
Performance
Tasks
Talk and Text Plans
Monrovia Unified School District Math 8 Page 7 of 11
Instructional Pacing Guide Updated: 8/7/2013
Standard
Glencoe
Lessons
Big Ideas
(Concepts to be Understood)
Timing
(Days)
Skills/Procedures Differentiation &
Intervention
(SIOP, SDAIE, RTI)
Additional Resources
KEY: Major Cluster Supporting Cluster Additional Cluster
8.F.A.1 4.2. 4.3, 4.4, 4.7 Understand that a function is a rule that assigns each input exactly to
one output.
•Find inputs and outputs drawn from
a variety of formats including
graphs, tables, maps and coordinate
points.
•Know that the graph of a function is
the complete set of ordered pairs
which are the input/output.
Red 4-2
8.F.A.2 3.3, 4.5 Understand that you re-write equations in slope-intercept form
because it’s the easiest way to graph, you can find parallel and
perpendicular lines. It is the easiest way to do multiple other things.
•Re-write equations in slope-
intercept form
•Graph equations in slope-intercept
form
•Find the slope of a line when given
a table/points
•Compare functions given in
multiple ways
•Compare slopes (rate of change)
Red 2-6
Red 4-3
Red 5-5
Red 5-3 (Use slope
formula)
Comparing Properties of
Two Functions
8.F.A.3 3.4, 4.4, 4.7, 4.8 Understand that any equation written in y= mx+b is a linear function
and graphs as a straight line. Conversely, any graph that is not a
straight line, is not a function.
•Vertical line test Supplemental Materials
8.F.B.4 3.3, 3.4
4.1, 4.3, 4.4, Problem
Solving investigation,
4.5, 4.6
Given a situation, construct a graph and write an equation to make
comparisons.
Supplemental Lesson
Plan - How Did I Move?
How Did I Move
Coleman’s Touchdown
KEY: Major Cluster Supporting Cluster Additional Cluster
Monrovia Unified School District Math 8 Page 8 of 11
Instructional Pacing Guide Updated: 8/7/2013
Standard
Glencoe
Lessons
Big Ideas
(Concepts to be Understood)
Timing
(Days)
Skills/Procedures Differentiation &
Intervention
(SIOP, SDAIE, RTI)
Additional Resources
8.F.B.5 4.7, 4.8, 4.9 •Match graphs to real-life situations
•Create graphs for real-life situations
(Identify where a function is
increasing or decreasing and linear
or non-linear.)
Red 4-1
8.G.A.1 6.1, 6.2, 6.3, 7.1 •Verify experimentally the properties
of rotations
Hands-on Lab (8-7) p.
415 in Green Book
Supplemental Materials
8.G.A.1 6.1, 6.2, 6.3, 7.1 •Verify experimentally the properties
of reflections
Supplemental Materials
8.G.A.1 6.1, 6.2, 6.3, 7.1 •Verify experimentally the properties
of translations
Supplemental Materials
8.G.A.2 7.1, 7.2 •Understand that two shapes are congruent if they are the same size
and shape, regardless of orientation.
•Describe the sequence of rotations,
translations and reflections that
exhibits the congruence between the
two shapes.
Two-Dimensional
Congruent Figures
8.G.A.3 6.1, 6.2, Problem
Solvin Investigation,
6.3, 6.4
Use coordinates to describe
transformations (including dilations,
rotations, translations and
reflections.)
Green 8-7
Dilations, Translations,
Rotations and
Reflections
8.G.A.4 7.3, 7.4, 7.7 •Understand that two shapes are similar if they are the same shape
and angle measures, regardless of orientation or size.
•Describe the sequence of dilations,
rotations, translations and reflections
that exhibits the similarity between
the two shapes.
Understanding Similar
Figures
KEY: Major Cluster Supporting Cluster Additional Cluster
Monrovia Unified School District Math 8 Page 9 of 11
Instructional Pacing Guide Updated: 8/7/2013
Standard
Glencoe
Lessons
Big Ideas
(Concepts to be Understood)
Timing
(Days)
Skills/Procedures Differentiation &
Intervention
(SIOP, SDAIE, RTI)
Additional Resources
8.G.A.5 5.1, 5.3, 5.4, Problem
Solving Investigation,
Problem Solving
Investigation, 7.5
Be able to demonstrate known facts using models, manipulatives, and
computer software.
Use informal arguments to establish
the following facts:
•The sum of the interior angles of a
triangle is 180 degrees and
demonstrate it.
•The exterior angle of a triangle is
supplementary to the interior angle.
•Corresponding angles in similar
triangles are congruent (angle-angle
criterion).
•The angle relationships created
when parallel lines are cut by a
transversal.
Angle Sums and
Exterior Angles of
Triangles
8.G.B.6 5.2 •Explain a proof of the Pythagorean Theorem
•Understand the converse of the Pythagorean Theorem
•Know the Pythagorean Theorem
•Understand the proof of the
Pythagorean Theorem
Pythagorean Theorem
and its Converse
8.G.B.7 5.5, 5.6 Apply the Pythagorean Theorem to real-world problems in two and
three dimensions.
•Know and apply the formula for
Pythagorean Theorem.
Unknown Sides in a
Right Triangle
8.G.B.8 5.7 •Apply the formula for Pythagorean
Theorem to find the distance
between two points in a coordinate
system.
Red Hands-On Lab p.
588-589
Pythagorean Theorem
Word Problems
KEY: Major Cluster Supporting Cluster Additional Cluster
Monrovia Unified School District Math 8 Page 10 of 11
Instructional Pacing Guide Updated: 8/7/2013
Standard
Glencoe
Lessons
Big Ideas
(Concepts to be Understood)
Timing
(Days)
Skills/Procedures Differentiation &
Intervention
(SIOP, SDAIE, RTI)
Additional Resources
8.G.C.9 Chapter 8 Apply the volume formulas in real-world problems. •Know and use the formulas for the
volumes of cones, cylinders and
spheres in mathematical problems.
Green 10-2 (cylinders)
Green 10-3 (cones)
Green 10-6 (spheres)
Volume in Cones,
Cylinders and Prisms
8.SP.A.1 9.1, 9.2, Problem
solving Investigation
Understand that a scatterplots visually represents a pattern (or lack
of) between two variables.
•Construct and interpret scatterplots
•Describe patterns of scatterplots
including: clustering, outliers,
positive and negative association,
linear association (line of best fit,)
and nonlinear association.
Red 4-1
Scatterplots for Bi-
Variate Data
8.SP.A.2 9.2 •Interpret the line of best fit by judging the closeness of the data to
that line
•Informally find a line of best fit
Use Straight Lines to
Model Relationships
8.SP.A.3 9.2 •Use the equation of a linear model
to solve problems with bivariate
data.
•Interpret the slope and intercept of
linear equations in the context of
situations
Red 5-3 Problem
Solving Worksheet
Interpreting Slope and
Intercepts
8.SP.A.4 9.3 •Construct and interpret a two-way
table (table with two categorical
variables).
•Use relative frequencies to
determine a possible association
between the two variables.
Patterns of Association
(Two-Way Tables)
Monrovia Unified School District Math 8 Page 11 of 11
Instructional Pacing Guide Updated: 8/7/2013
SAMPLE ONLY…….SAMPLY ONLY……SAMPLY ONLY…..SAMPLY ONLY…
Department Policies
Grading Scale:
97% - 100% A+
93% - 96% A
90% - 92% A-
87% - 89% B+
83% - 86% B
80% - 82% B-
77% - 79% C+
73% - 76% C
70% - 72% C-
67% - 69% D+
66% - 60% D
0% - 50% F
Grade Weights:
Assignment Type Percent of Grade
Transition Regular Advanced
Tests/quizzes 55% 60% 65%
Mad Minutes 10% 5% 5%
Homework/Classwork 35% 35% 30%
Makeup Work: Makeup work is accepted for full credit if the student is absent. The student will have a reasonable amount of time to complete any missed assignments.
Late Work Policy: Late work may be accepted for reduced credit at the discretion of the teacher.
Testing Policy: Students must take a makeup test if they are absent for a test. Students are expected to make test corrections for any failing tests (a D or F) to bring up their grade to a 70% (C-).
Teacher Policies: [please insert relevant policy]
Mad Minutes Grading:
Score (60 total) 0-9 10-19 20-29 30-39 40-44 45-49 50-54 55-57 58-60
Score (120 total) 0-19 20-39 40-59 60-79 80-89 90-99 100-109 110-115 116-120
Points 2 3 4 5 6 7 8 9 10