Download Grade 8 Math SY1516– Quarter 2 Planning Guide

Week
Dates
Topics
Standards
Grade 8 Math SY1516– Quarter 2 Planning Guide
Proportional
Relationships,
Lines and Linear
Equations
I Can Statements

Graph proportional relationships

Interpret the unit rate as a slope of
the graph of proportional
relationship
Compare two different proportional
relationship represented in different
ways
Define systems of equations and its
solution
Solve systems of linear equations by
graphing
Solve systems of equations by
substitution
Solve system of equations by
addition and subtraction
Solve real-world problems leading to
two linear equations in two variables

1
8.EE.5
8.EE.6
8.EE.7
8.EE.8
October 12 30, 2015
2




Systems of Two
Linear
Equations

3
4

5
6
7
8
9
November 2December
18, 2015
Functions
Part 1
8.F.1
8.F.3
8.F.5
8.F.4
8.F.2




Resources
Assessments
Digits Lessons
5-1 to 5-6
6-1
Common Assessment
Quiz #3
in Achievement
Series
(10 items MC)
by October 30th
Digits Lessons
6-3 to 6-6
(Topics also included
in Q2 Test in
Achievement Series)
Distinguish between functions and
non-function using equations,
graphs and tables
Give examples of linear and nonlinear functions
Recognize when a function is
increasing or decreasing on a given
interval
Sketch a graph to model a given
verbal situation
Describe a situation given a graph of
a function
Digits Lessons
7-1 to 7-6
8-1 to 8-4
Common
Assessment
Quiz #4
in Achievement
Series
(10 items MC) by
December 11th
(Topics included in
Q2 Test also in
Achievement Series)
Administer Quarter 2
Test on the week of
December 14th
Week
Dates
Topics
Standards
I Can Statements
Resources
Assessments
Note: Start Quarter 2 with a review of Quarter 1 Topics (focus on adding and subtracting rational numbers)

Grade 7 Math SY1516– Quarter 2 Planning Guide
1
Multiplying and
Dividing Rational
Numbers
2
October 1227, 2015

7.NS.2.a
7.NS.2.b
7.NS.2.c
7.NS.2.d


Decimals and
Percents
3
Simplifying
Algebraic
Expressions
4
5
6
October 28 –
December
18, 2015
Solving
Equations
7.EE.1
7.EE.2
7.EE.3
7.EE.4.a
7.ee.4.b





7

8
9
Solving
Inequalities and
Problem
Solving
Relate the properties of
multiplication of fractions to the
multiplication of rational numbers.
Multiply and divide rational numbers
using the properties of operations
Convert rational numbers into
decimals vice versa using long
division
Solve real world problems involving
the four operations with rational
numbers
Expand and factor algebraic
expressions with rational coefficients
Add and subtract algebraic
expressions with rational coefficients
Solve one-step and two-step
equations
Solve real world problems involving
algebraic expressions
Manipulate expressions to generate
equivalent expression
Solve one-step and two-step
inequalities
Digits Lessons
5-1
5-5
6-1
6-2
6-5
CCSS Flip Book
Grade 7 p20
Digits Lessons
7-1 to 7-4
8-1 to 8-4
9-1 to 9-4
CCSS Flip Book
Grade 7 p23-29
Common Assessment
Quiz #3
in Achievement
Series
(10 items MC) by
October 27th
Performance Task for
7.NS.2 & 7.NS.3
(see unit map)
(Topics included in
Q2 Test also in
Achievement Series)
Common Assessment
Quiz #4 and Quiz 5
in Achievement
Series
(10 items MC) by
December 11th
(Topics included in
Q2 Test also in
Achievement Series)
Administer Quarter 2
Test on the week of
December 14th
Week
Dates
Linear
Functions
Graphing Linear
Functions Using
Slopes and
Intercepts
1
Algebra 1 SY1516– Quarter 2 Planning Guide
2
3
Topics
October 12November
18, 2015
Forms of Linear
Equations
Standards
BF.B.3
IF.B.4
ID.B.6.c
Modeling Linear
Functions
Scatter Plots
and Trend Lines
4
Systems of
Equations and
Inequalities
5
6
Solving Systems
of Equations by
Graphing
7
8
9
November
19-December
18, 2015
Solving Systems
of Equations by
Algebraic
Method
Solving Systems
of Inequalities
CED.A.1
CED.A.3
REI.C.6
REI.D.12
I Can Statements
 I can graph a linear function.
 I can interpret the graph of a linear
function, its slope and y-intercept.
 I can describe the effect of changing the
parameters of a linear function.
 I can identify key features (intercepts,
slope) of a linear function.
 I can compare lines using slopes and
intercepts.
 I can model a linear function using a
verbal description of the relationship of
quantities.
 I can find the equation of the line of best
fit from a scatter plot.
 I can make conjectures about the
relationships between two characteristics
on the basis of scatter plots.
 I can solve (find solution to) systems
of equations algebraically, graphically
or by using graphing calculator.
 I can model and solve word problems
involving system of equations.
 I can interpret the solution (x,y) of a
system of equations in the context of
the situation.
 I can find the solutions to a linear
inequality in two variables.
 I can graph the solutions to a linear
inequality as a half-plane.
 I can solve and graph the solution set
to a system of linear inequalities in
two variables.
Resources
Pearson Algebra 1
Chapter 5
Math XL
Assignments
Assessments
Common
Assessment
Quiz #3 and Quiz #4
in Achievement
Series
done by November
18th
Topics included in
Quarter 2 Test also
in Achievement
Series
Pearson Algebra 1
Chapter 6
Math XL
Assignments
Quarter 2 Test to
be administered on
the week of
December 14th.
Week
Dates
Topic/s
1
Algebra 2 SY1516– Quarter 2 Planning Guide
Oct 12-30,
2015
Quadratic
Functions and
Equations
2
Standard/s
BF.B.3
REI.B.4.b
N.CN.1
N.CN.2
N.CN.7
Note: Brief
introduction only
to complex
numbers.
I Can Statements
• I can identify and graph quadratic functions.
• I can graph quadratic functions in standard
form.
• I can model data with quadratic functions.
• I can solve quadratic equations by factoring or
use of quadratic formula.
• I can identify, graph, and perform operations
with complex numbers.
Resource/s
Pearson Algebra 2
Chapter 4
Lessons 4-1 to 4-9
Assessment
Common
Assessment in
Achievement
Series
Quiz #3 by Nov 6th
• I can find complex number solution of quadratic
equations.
Topics are included
in Term 2 Test
• I can graph polynomial functions and describe
end behavior.
• I can analyze the factored form of a polynomial.
• I can find real zeros of polynomial functions
and write polynomial function from its zeros.
• I can perform operations (division) on
polynomial functions.
• I can fit data to linear, quadratic, cubic, or
quadratic models.
Common
Assessment in
Achievement
Series
Quiz #3 by Nov 6th
3
4
5
Nov 4-24,
2015
Polynomials
and Polynomial
Functions
F.IF.7.c
APR.A.1
APR.A.3
A.SSE.2
6
Chapter 5
Lessons 5-1 to 5-9
See highlighted I
can statement for
emphasis
• I can apply transformations to graphs of
Topics are included
in Term 2 Test
polynomials.
7
8
Nov 30 - Dec
18, 2015
9
Radical
Functions and
Rational
Exponents
REI.A.2
F.BF.1
F.BF.1b
• I can perform operations on radicals
• I can simplify expressions with rational
exponents.
• I can solve radical equations.
• I can solve rational equations.
• I can perform operations on functions.
• I can find the composite of two functions.
• I can find the inverse of a relation or
function.
• I can graph square root and other radical
functions.
Chapter 6
Lessons 6-1 to 6-8
Term 2/Quarter 2
Test in
Achievement
Series
administered
during the week of
Dec 14th
and includes all
topics for Term 2
Week
Dates
Topic/s
Standard/s
I Can Statements
GRST.5
G.CO.10
• I can recognize congruent figures and their
corresponding parts.
• I can prove two triangles congruent using
the SSS and SAS Postulates.
• I can prove two triangles congruent using
the ASA Postulate and the AAS Theorem.
• I can prove right triangles congruent using
the Hypotenuse-Leg Theorem.
• I can identify congruent overlapping
triangles.
• I can prove two triangles congruent using
other congruent triangles.
Geometry SY1516– Quarter 2 Planning Guide
1
2
Oct 12-30,
2015
Congruent
Triangles
3
Resource/s
Assessment
Pearson Geometry
Common
Assessment in
Achievement
Series
Quiz #3 by Oct 30
Chapter 4 Lessons
4-1 thru 4-4; 4-6 &
4-7
Topics included in
Q2 Test
4
5
Nov 2-20,
2015
Relationship
Within
Triangles
G. CO. 9,
G.CO.12,
G.SRT.5
6
7
8
9
Nov 23-Dec
18, 2015
Polygons and
Quadrilaterals
G.CO.11
G.GPE.7
• I can use properties of mid-segments to
solve problems.
• I can use and identify properties of
perpendicular bisectors and angle
bisectors.
• I can use indirect reasoning to write proofs.
• I can apply inequalities in two triangles.
• I can find the sum of the measures of the
angles of a polygon.
• I can use relationships among sides,
diagonals and angles of parallelograms..
• I can determine whether a quadrilateral is a
parallelogram.
• I can define and classify special types of
parallelograms.
• I can verify and use properties of trapezoids
and kites.
Chapter 5 Lessons
5-1 & 5-2; 5-4 thru
5-7
Common
Assessment in
Achievement
Series
Quiz #4 by Nov 20
Topics included in
Q2 Test
Chapter 6 Lessons
6-1 to 6-9
Term Test 2 in
Achievement
Series week of Dec
14th
Week
Dates
Topics
Standards
Pre-Calculus SY1516– Quarter 2 Planning Guide
Oct 12-Nov
13, 2015
Exponential
and Logarithmic
Functions
IF.C.7.e
IF.C.9
LE.A.3
REI.A.2
 Expand and condense logarithmic
expressions using properties of
logarithms
4
 Solve exponential and logarithmic
equations.
5
 Solve real-life problems using
exponential growth and decay models
Pre-Calculus by
Blitzer Chapter 3
Section 3.1-3.5
Common
Assessment
Quiz #3 by
November 13th
 Convert angle measures from radians
to degrees and vice versa.
6
7
Nov 16-Dec
18, 2015
Trigonometric
Functions
TF.A.1
TF.A.2
TF.A.3
TF.B.5
 Use the unit circle to define
trigonometric functions of real
numbers.
 Evaluate trigonometric functions using
right triangles and reference angles
 Sketch the graphs of trigonometric
functions.
9
Assessments
 Rewrite and evaluate and graph
logarithmic functions
2
8
Resources
 Evaluate and graph exponential and
logarithmic functions.
1
3
I Can Statements
 Evaluate the inverses and
compositions of trigonometric functions
Pre-Calculus by
Blitzer Chapter 4
Section 4.1-4.5
Common
Assessment
Quiz #4 by
December 11th
Term 2 Test
during the week of
Dec 14th
Week
Dates
Topics
Standards
College Algebra SY1516– Quarter 2 Planning Guide
1
2
3
Oct 12-Nov
13, 2015
Polynomial and
Rational
Functions
F.IF.7.c
APR.A.1
APR.A.3
A.SSE.2
4
5
6
 Write quadratic function in vertex
form and sketch the graph.
 Divide polynomial functions using
synthetic division.
 Apply the Reminder Theorem.
 Find zeros of polynomial function
using The Factor Theorem, Rational
Zeros Theorem. Conjugate Zero
Theorems, and Descartes’ Rule of
Signs.
 Graph functions of the form f(x)
=axn and examine vertical and
horizontal transformations.
 Graph rational functions, and find
asymptotes.
 Determine whether the relationship
is direct variation, inverse variation,
and combined or joint variation.


7
8
I Can Statements
Nov 16-Dec
18, 2015
Exponential
and Logarithmic
Functions
IF.C.7.e
IF.C.9
LE.A.3
REI.A.2




9

Decide whether a function is oneto-one.
Apply the horizontal line test to a
given function.
Find the equations and graph the
Inverse of a function.
Apply properties of exponent to
solve Exponential equations.
Graph Exponential and
Logarithmic Functions.
Find the logarithm of a number
and Solve logarithmic equations.
Model real life situations using
exponential growth and decay
models.
Resources
College Algebra
Early Functions
Approach by Blitzer
Chapter 3
Section 3.1-3.5
College Algebra
Early Functions
Approach by Blitzer
Chapter 4
Section 4.1-4.5
Assessments
Common
Assessment
Quiz #3 by
November 13th
Common
Assessment
Quiz #4 by
December 11th
Term 2 Test
during the week of
Dec 14th