Download Module 1A – 1.1 “Standard Notation” Objective 1 – Give the

Module 1A – 1.1
“Standard Notation”
Objective 1 – Give the meaning of digits in standard notation
1) Look at the place value chart and learn how to read the number on it. Write the
number in words.
2) What place value does the digit 5 represent in the number 235,888
3) What place value does the 5 digit have in the number 1,488,526?
4) What is the place value of the digit 5 in the number 1,560,314
Objective 2 – Convert from standard to expanded notation
1) What is meant by expanded notation?
2) What is the expanded notation for the number 405,698
Objective 3 –Convert between standard notation and word names
1) Write a word name for 46,605,314,732
2) Write five hundred six million, three hundred forty-five thousand, two hundred twelve
in standard notation.
Module 1A – 1.4
“Rounding and Estimating; Order”
Objective 1 – Round to the nearest ten, hundred, or thousand
1) How do you round to a certain place like the nearest hundred?
a.
b.
c.
d.
2) Round 731 to the nearest ten.
3) Round 586 to the nearest hundred
4) Round 32850 to the nearest hundred
5) Round 9537 to the nearest thousand
6) Round 13459 to the nearest ten, to the nearest hundred and to the nearest thousand
Objective 2- Estimate sums and differences by rounding
1) Estimate the following addition after rounding to the nearest ten.
4 5
7 7
2 5
+ 5 6
2) After viewing this example, what use might you have for estimating?
3) Estimate the difference of 9324-2849 by first rounding to the nearest thousand.
Objective 3 – Ordering numbers
1) How do you write “a is less than b” using mathematical notation?
2) The symbol < is read as
3) The symbol > is read as
2) How can you remember which way the inequality symbols, (“<” and “>”) should be facing in
an inequality?
3) Compare 133 ____ 132 with an inequality symbol.
Module 1B – 1.2
“Addition”
Objective 1 – Write an addition sentence that corresponds to a situation
1) What is the answer to an addition problem called?
It is 42 miles
from San Jose
to Oakland
Write and addition sentence that corresponds to
this situation:
A car is driven 44 miles from San Francisco to
San Jose. It is then driven from San Jose to
Oakland. How far is it from San Francisco to
Oakland along this route.
It is 44 miles
from San
Francisco to
San Jose
Objective 2 – Adding whole numbers
1) When doing an addition problem you must line up the ________________ in columns.
Add:
7 3 1 2
+ 2 5 0 4
77543+23767
2) What law says you can group the numbers in an addition problem any way you like without
changing the order?
3) “a+b = b+a” demonstrates what law?
4) Insert parentheses to illustrate the associative law of addition.
5) Complete the equation to illustrate the commutative law of addition.
+
4) Why are these properties of addition important when doing arithmetic without a calculator?
5) What is one way to quickly add a set of numbers?
Using this little trick, add the following numbers:
8
6
2
3
+ 7
4 8
7
9 2
8 9
+ 7 9
Objective 3 – Use addition in finding perimeter
1) Define perimeter.
2) What is the perimeter of the soccer field?
90 m
50 m
3
2
0
8
3
5
9
4
6
1
Module 1B – 1.3
“Subtraction”
Objective 1 – Write a subtraction sentence that corresponds to “take away”
1) write the appropriate subtraction sentence for the following application.
Juan goes to a music store and choose 10 CD’s to take to
the listening station. He rejects 7 of them, but buys the
rest. How many CD’s does Juan buy?
2) What is the answer to a subtraction problem called?
Objective 2 – Write related sentences
1) What are two related subtraction sentences for 23+9 = 32.
Objective 3 - Write a subtraction sentence that corresponds to “how much do I need?”
1)Write a subtraction sentence to solve the
problem to the left.
2) How much does Jillian need?
Objective 4 – Subtract whole numbers
1) Subtract.
8 6 6
- 3 8 7
2) When is it appropriate to “borrow”?
3) Subtract
5 2 1
- 3 8 7
7000 – 2794.
Module 1C – 1.5
“Multiplication and Area”
Obj. 1 – Multiply whole numbers
1) Multiplication can be thought of as repeated __________.
2) The numbers that are multiplied together are called __________ and the answer in
multiplication is called the
.
3) What are the 3 symbols which show multiplication?
4) Multiply
8 5 3
× 9 3 6
Obj. 2 – Estimate products by rounding
Estimate the product of
a) by rounding to the nearest ten
b) by rounding to the nearest hundred?
What is the actual product without rounding?
Obj. 3 – Use multiplication in finding area
1) What is the formula for the area of a rectangle?
2) What is the area of the rectangle?
3) What are the units?
Module 1D – 1.6
“Division”
Obj. 1 – Write a division sentence that corresponds to a situation
1) Write a division sentence that corresponds to this situation.
How many cordless hair trimmers that
cost $45 each can be purchased for $495?
2) What is the answer in a division problem called?
Obj. 2 – Write related sentences
1) Write two related multiplication sentences for the division sentence
2) Write two related division sentences for the multiplication sentence
Obj. 3 – Divide whole numbers
1) Division can be thought of as repeated ___________.
2) The amount left over (if any) after dividing is called what?
3) Divide
.
4) How do you check division problems?
Divide:
4 1228
24 8880
5) The division procedure consists of what three steps?
Module 1E – 1.7
“Solving Equations”
Obj. 1 – Solve equations by trial
1) When you find a replacement for a variable that makes the statement (equation) true, it is
called ______
___ the equation.
Obj. 2 – Solve equations directly
1) Solve
t  125  5
2) To solve an addition equation, we can _______ the same number on both sides of the equal
sign.
3) Solve
13  x  22
4) After we solve an equation, we should ________ the solution.
5) Solve and check
x  214  389
6) To solve a multiplication equation, we can _______ by the same number on both sides of the
equal sign.
7) Solve and check
5  x  3715
10  x  240
Module 1E – 1.9 Exponents (Taken from a You Tube video)
“Exponential Notation”
1) What are the two pieces of exponential notation?
2) What does the base represent?
3) What does the exponent tell you?
4) Write as repeated multiplication
5) Write in exponential form
6) The expression
could be read as either “three to the second _________” or “three
_______.”
7) The expression
8)
could be read as either “two to the third _________” or “two _________.”
is also the same as multiplying 2 and 3 together. T/F
Compute the following:
Module 1E – Appendix J – Square Roots (adapted from a Khan Academy Video)
“Understanding Square Roots”
1) What is the symbol we use for taking a square root?
Note: The above symbol is sometimes called a radical symbol.
2) When we compute a square root we ask ourselves, “What number do I multiply by ________
to find the number underneath the radical?”
Compute the following:
Note: 25 and 36 are both perfect squares because there is a whole number that when multiplied
by itself gives back the number.
3) List 4 other perfect square numbers.