Chapter 1
Decimals for whole numbers
Ex: What is
decimal for “two million, two”?
Answer: 2,000,002
Decimals for numbers between whole numbers
Ex: Which is larger 3.1 or 3.12?
Answer:
3.12
Estimating by rounding up or rounding
down
Ex: Round 4.356
up and down to tenths spot.
Answer: Up it is 4.4 Down it is
4.3
Estimating by rounding to the nearest
Ex: Round 4.356
to the nearest tenth.
Answer:
4.4
Decimals for simple fractions
Know decimals for fractions that have a denominator of 2, 3,
4, 5, 10, 20, and 50.
Ex: What is decimal
for 11/20?
Answer:
.55
Decimals for mixed numbers
Ex: What is the
decimal for 3 1/4 ?
Answer:
3.25
Negative numbers
Ex: Where is -3.25 is located on the number line
below?
Answer:
Comparing numbers
Ex: What is larger -3.4 or -3.6?
Answer:
-3.4
Equal Fractions
Ex: Simplify
12/40?
Answer:
Divide both numerator and denominator by 4 and get
3/10.
Chapter 2
Multiplying by 10, 100,
...
Ex: 45.6 x 100
=
Answer:
4560 since decimal moves two times to the right.
Powers
Ex: Calculate
34
Answer:
34 = 3 · 3
· 3
· 3
= 81
Scientific notation for large numbers
Ex: What is 45,000 in scientific notation?
Answer:
4. 5 x 104
Multiplying by 1/10,
1/100, ...
Ex: What is
64.5 x 1/100
Answer:
.645 since the decimal point moves twice to the left.
Percent of a quantity
Ex: What is 15%
of 200?
Answer:
30
From decimals to fractions and percents
Ex: What is the
fraction and decimal for 12%?
Answer: Decimal is .12 and fraction is
12/100 = 3/25.
Circle graphs
Ex: If 450
students took the test how many made a B?
Answer: 81
( .18 x 450)
More powers of Ten
Ex: 56.47 x
104 =
Answer:
564,700
Scientific notation for small numbers
Ex: What is
.0045 written in scientific notation?
Answer:
4.5 x 10-3
Chapter 3
Measuring length
Ex: Know how to
use a ruler to measure in inches and centimeters.
Converting lengths AND Weight and Capacity in the
customary system of measurement
Ex: Know the
conversions given below:
1 mile = 5280 feet
1 inch = 2.54 cm
1 km ».62
miles
1 meter »39.37
inches
1 pound = 16 ounces
1 kilogram »
2.2 pounds
The Metric system of measurement
Ex: 4km =
meters
Answer:
4000 (remember your chart: km hm dkm m dm cm mm)
Measuring Angles
Ex: Use your
protractor to measure the given angle.
Answer: ÐABC
is 45 degrees.
Kinds of Angles
Ex: What is an obtuse
angle?
Answer: An
angle that is between 90 and 180 degrees.
Measuring Area
Ex: What is the
area of a rectangle with sides of 9 cm and 5 cm?
Answer: 45
cm2
Measuring Volume
Ex: What is the
volume of a cube that is 3 cm on each side?
Answer:
27cm3
Chapter 4
Order of operations
Ex: 5 + 3 ·
22 - (4 + 1)
Answer:
12
Describing Patterns with variables
Ex: From the three
given instances what is the general pattern?
4 x 1 = 4
5 x 1 = 5
8 x 1 = 8
Answer: a
· 1
= a
Translating words to Algebraic
expressions
Ex: Translate
the expression “ the sum of a number and two divided by
the product of the number and three”
Answer:
Evaluating Algebraic Expressions
Ex: Evaluate
5n2 when n = 2
Answer:
20 since
in 5 ·
22 you do powers first
Parentheses or Brackets
Ex: Evaluate (3
+ 2) (20 – (3 + 10)
Answer:
35 since
you do inner most parentheses first
Probability
Ex: If I buy n
tickets and y are sold what is my probability of winning?
Answer:
Inequalities
Ex: Graph
-2< n £4
on a number line
Answer:
Chapter 5
Zero and Opposites
Ex: -(-(-3)) =
Answer:
-3
Rules for adding positive and negative numbers
Ex: -5 + 3
=
Answer:
-2
Combining turns
Ex: How many
degrees does the minute hand of a clock move in 1
minutes?
Answer: 6
degrees since 360/60 is 6.
Adding positive and negative fractions
Ex:
2/5 + 1/3 =
Answer:
11/15 (Remember to get a
common denominator when adding)
Adding probabilities
Ex: If events A
and B are mutually exclusive and P(A) = 30% and P(B) =
40%, what is
P(A or
B)?
Answer:
70%
Commutative and Associative properties
Ex: Which is
commutative and which is associative of the following:
4 + 3 = 3+ 4
(1+ 2) + 3 = 1 + (2 + 3)
Answer:
Commutative
Associative
Polygons
Ex: What is the
name of the polygon that has 8 sides?
Answer:
Octagon
Adding lengths
Ex: If points
A, B, C, and D are points in a straight line, what is AB if
AD = 10 cm
BC = 5 cm
CD = 2 cm
Answer: 3
cm
Chapter 7
Two models for subtraction
Ex: If points
A, B, C, and D are points in a straight line, AD – CD =
Answer:
AC
The slide model for subtraction
Ex: -6 -3 =
Answer:
-9
Solving a - x = b
Ex: 8 – n =
10
Answer:
-2
Counting and probability with
overlap
Ex: Draw a Venn
diagram that shows that 20 people play soccer, 10 play tennis, and 4 do
both.
Answer:
Angles and parallel
lines
Ex: Know how to
find the missing angles given any picture.
Key words to know are parallel, perpendicular, ray, line, line segment,
etc.
Special Quadrilaterals
Ex: All angles
in a quadrilateral add up to how many degrees?
Answer: 360 degrees
The triangle-sum
property
Ex: All angles
in a triangle add up to how many degrees?
Answer: 180 degrees
Chapter 8
Coordinate graphs
Ex: In which quadrant are the x and y values all negative?
Answer:
Third (-,-)
Graphing lines
Ex: Make a
t-chart of three possible solutions to y = 2x + 1 and then graph it.
Answer:
Translations
Ex: What
happens to the graph of a figure when -3 is added to the x-coordiante and 2 is added to the
y-coordiante?
Answer:
The figure moves to the left 3 units and up 2 units.
Reflections
Ex: If A’ is
the reflection of A and the distance from A to the reflection line is 4 cm, AA’
=
Answer: 8
cm
Reflection symmetry
Ex: The letter
A has what type of line of symmetry?
Answer: Vertical
Chapter 9
Area model for multiplication
Ex: What is the
area of a right triangle that has a base of 5 cm and a height of 8 cm?
Answer: 20
cm2
Volumes of rectangular solids
Ex: What is the
volume of a cube that is 5 cm on each side?
Answer:
125 cm3
Multiplication of fractions
Ex:
6/7 x 7/9 =
Answer:
2/3
Multiplying probabilities
Ex: What is the
probability that it will rain three days in a row if the probability for rain
every day this week is 70%?
Assume that each day is independent from the day before.
Answer:
34.3%
(.7 · .7
·
.7)
Multiplication with negative numbers and zero
Ex: -5 · -2
· -1
=
Answer:
-10
Size changes - Expansions
Ex: What
happens to the sides of ΔA’B’C’ if ΔABC is multiplied by 3?
Answer:
The sides get three times longer.
Size changes - Contractions
Ex: What
happens to the sides of ΔA’B’C’ if ΔABC is multiplied by ½
?
Answer:
The sides contract to ½ the original size.
Picturing Multiplication with negative
numbers
Ex: What
happens to ΔA’B’C’ if ΔABC is multiplied by -3?
Answer:
The sides get three times longer and the figure rotates 180 degrees.