SECTION 9 Day 2
NUMBER SENSE DAY 2
SWBAT:
Understand properties of exponents.
PROPERTIES OF EXPONENTS
Zero and Negative Exponents
A nonzero number to the zero power is 1
a0 = 1
a- n is the reciprocal of an
an =
Practice
Simplify each expression. Write ans
SECTION 9 Day 1
NUMBER SENSE DAY 1
SWBAT:
Understand properties of exponents.
PROPERTIES OF EXPONENTS
Product of Powers Property am an = am+n
Power of a Power Property (am)n = amn
Power of a Product Property (ab)m = am bm
Quotient of Powers Property am/an
SECTION 11- Day 1
Slope & Graphing a Line
SWBAT:
Graph a linear equation using a table.
Graph horizontal and vertical lines.
What is Slope?
Slope the steepness of a line.
Ex 1. How do we find slope?
y2 y1
rise change in y
m=
=
=
x2 x1
run change in x
Ca
Section 10 Day 1
GRAPHS: PIE CHART, BAR GRAPH, LINE GRAPHETC
SWBAT:
Read and example different types of data displays.
Use different methods to display data
Types of Graphs
Bar Graph:
compares
two or more amounts and quantities.
Bar Graphs
How many news
SECTION 11 Day 1
Percent
SWBAT:
to find the percent of change.
Facts about Percents:
Percent means out of 100
The symbol for percent is %
30 % means 30 out of 100
Percents can be converted to fractions and/or
decimals.
It is important to know how to
SECTION 11 Day 2
Percent
SWBAT:
to find the percent of change.
Review of Percents
Simple sentence: _ is _% of _
Use
Sales tax:
7%
Tipping:
15
in New Jersey Multiply by .07 then add to original
or 20% - Multiply by .15 or .20 then add to original
Commi
SECTION 5 Day 2
Finding the height of triangles,
parallelograms and trapezoids
SWBAT:
Find the height and area of triangles, parallelograms
and trapezoids.
Finding the Height of Triangles
Sometimes we have to do some work to find the height
of a triangle
SECTION 5 Day 1
Area & Perimeter of Geometric Figures
SWBAT:
Find the area and perimeter of circles, rectangles,
triangles, trapezoids and parallelograms.
Definitions
Area:
The number of non overlapping unit squares of a
given size that will exactly co
SECTION 10 Day 1
Solving Linear Equations
SWBAT:
Solve linear equations
Solving an Equation
Solving an algebraic equation means finding th
enumber represented by the variable.
You must apply operations to both sides of the
equation in order to get the va
SECTION 10 Day 2
Solving Linear Equations
SWBAT:
Write and Solve linear equations
Open Ended:
Mr. Jones drives 480 miles to a business meeting. His
travel time to the meeting was 8 hours and from the
meeting was 7.5 hours. Find his rate of travel for eac
SECTION 4 Day 1
Ratios and Proportions
SWBAT:
Solve ratios and proportions.
Definitions
Ratio:
The relative size of two quantities expressed as the
quotient of one divided by the other.
The ratio of a to b is written as a:b or a/b
Proportion:
An equ
SECTION 4 Day 2
Ratios and Proportions
SWBAT:
Solve ratios and proportions.
Multiple Choice
1.
2.
A. 7
B. 5/8
C. 7/2
D. 2
Multiple Choice
1.
2. Mr. Jones has taken a survey of college students and
found that 1 out of 7 students are liberal arts majors.
I
SECTION 1 Day 2
Arithmetic Sequences & Geometric Series
SWBAT:
Recognize geometric series.
Relate geometric series to linear functions.
Geometric Sequence
A geometric sequence is a sequence in which
the ratio between any two successive terms is
the same
SECTION 2 Day 1
Tessellations, fractals, 3-D figures
SWBAT:
Create a fractal
Definition
A fractal is a geometric shape that
displays self-similarity. Many
fractals are found in nature.
Leaf veins, rivers, icicles, lightning
and our circulatory system are
SECTION 3 Day 1
Independent and Dependent Events
SWBAT:
understand how to find the probability of independent
and dependent events.
Definitions:
Sample Space:
The set of all possible outcomes of an experiment
Event:
A subset of a sample space
IE: rolling
SECTION 3 Day 2
Simple Probability
SWBAT:
understand how to find the permutation and
combination of a sample space.
Definitions:
Outcome:
The
Event:
The
result of an experiment.
identified outcome.
Probability of an event
The
ratio of favorable outcom
SECTION 3 Day 3
Tree Diagrams & Sample Space
SWBAT:
understand how to find the probability using a tree
diagram.
SAMPLE SPACE AND TREE DIAGRAM
Sample Space:
a list of all possible outcomes.
Tree Diagram:
a way of representing a sample space and
of findin
SECTION 3 Day 4
Venn Diagrams
SWBAT:
understand how to find the probability using Venn
Diagrams
Venn Diagram
Venn Diagram
generally
give you two or three classifications and a
bunch of numbers.
You then have to use the given information to populate
the
Do Now
q
Pg 161
q#14
SECTION 4.1
INTRO TO MATRICES
SWBAT:
organize data into matrices.
solve equations involving matrices.
Matrix Components
Matrix a rectangular array of variables or constants
in horizontal rows and vertical columns, usually in
bracket
DO NOW
Pg 115
# 1, 2, 5
SECTION 3.1
SOLVING SYSTEMS OF
EQUATIONS BY GRAPHING
SWBAT:
Solve systems of linear equations by graphing.
Solve real world problems using systems.
SOLVING A LINEAR SYSTEM USING GRAPH & CHECK
STEP 1:
Write each equation in slope-
DO NOW
PG 104
#6
SECTION 3.3
SOLVING SYSTEMS OF
INEQUALITIES
SWBAT:
Solve systems of linear inequalities.
Solve real world problems.
Example 1:
Graph the linear systems and find the solution
Equation 1: y > x 2
m = 1 b = -2
Test point (0,0)
Equation 2:
DO NOW
Pg 57 # 1-10all
SECTION 2.1
RELATIONS & FUNCTIONS
SWBAT:
analyze & graph relations.
find functional values.
DEFINITIONS
Relation:
is a set of ordered pairs (points)
Domain:
Set of all x-coordinates
Range:
Set of all y-coordinates
Function:
Specif
DO NOW
PG 70
# 60, 61
Homework Review: (10 17, 22- 32e, 36, 42-44)
10. Yes
28, 30, 32 next slide
11. Yes
36. x y = -6 A=1, B = 1, C = -6
12. No
42. x-int: none
y-int: 4
13. No
43. x-int: 8
y-int: none
14. No
44. x-int:2
y-int: 3
15. No
16. No
17. No
22.
DO NOW
PG 74
# 2-4 ALL
Or volunteer for hw answers
#20-24e, 30-34e on board (put in order please)
Homework Answers:
13.-5/2
16. -1
14.
17.
3/5
0
15. 13
18.
SECTION 2.4
WRITING LINEAR EQUATIONS (DAY 1)
SWBAT:
Write an equation of a line given the slope a
DO NOW QUIZ
10 MINUTES
When you are done, answer this in your notes:
What is the GREATEST INTEGER LESS THAN
1) 6.8 = 6
2) 9.1 = 9
3) 8.9 = 8
4) -1.5 = 2
5) 1.9 = 2
Use common sense
SECTION 2.6
SPECIAL FUNCTIONS DAY 1
SWBAT:
Identify and graph step, const
DO NOW
Sit In Groups
Work individually on Do Now
No sharing books!
Pg
5 # 9, 23
SECTION 1.1
PROPERTIES OF REAL NUMBERS
THIS WILL BE ON YOUR HSPA TEST
SWBAT:
Classify real numbers.
Use the properties of real numbers to evaluate expressions.
Definitons