HSD Grade 6 Benchmark 1 Study Guide
HSD Grade 6 Benchmark 1 Study Guide
HSD Grade 6 Benchmark 1 Study Guide
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Hollister School<br />
District<br />
<strong>Grade</strong> 6<br />
Directions: All questions on this study guide are<br />
shown using best practices. Read each question<br />
carefully and do the "You-try" using the same<br />
methods .<br />
You may write on this study guide. Do all your<br />
work in the space provided under the<br />
"You-try".<br />
<strong>Benchmark</strong> 1 <strong>Study</strong> <strong>Guide</strong>
<strong>HSD</strong> <strong>Grade</strong> 6<br />
<strong>Benchmark</strong> 1 <strong>Study</strong> <strong>Guide</strong><br />
1<br />
A group of hikers climbed the Salt Flats<br />
(elevation feet) to Talon Bluff (elevation<br />
620 feet). What is the difference in elevation<br />
between Talon Bluff and Salt Flats<br />
1 ′<br />
One morning the temperature was below<br />
zero. By noon, the temperature rose<br />
Fahrenheit (F) and then dropped F by<br />
evening. What was the evening temperature<br />
NS 2.3<br />
NS 2.3<br />
2<br />
Order these numbers from least to greatest<br />
0.25, , 1.2,<br />
2 ′<br />
Order these numbers from greatest to least<br />
Method 1: Convert all numbers to fractions<br />
0.25 = = =<br />
1.2 = = =<br />
Order: ,<br />
Method 2: Convert to Decimals<br />
=<br />
Order: 0.25, 0.5, 0.75, 1.2<br />
NS 1.1<br />
NS 1.1<br />
Page 1 of 9 MDC@ACOE (SBCMI) 10/24/10
<strong>HSD</strong> <strong>Grade</strong> 6<br />
<strong>Benchmark</strong> 1 <strong>Study</strong> <strong>Guide</strong><br />
3<br />
3 ′<br />
0<br />
NS 2.3<br />
NS 2.3<br />
4 Evaluate<br />
4 ′ Evaluate<br />
Use a<br />
number<br />
line to<br />
show that<br />
adding<br />
a to a<br />
will<br />
equal<br />
-8 -7 -6 -5 -4 -3 -2 -1 0 1<br />
When adding integers<br />
with the same sign,<br />
keep the sign and add<br />
the absolute value.<br />
NS 2.3<br />
NS 2.3<br />
Page 2 of 9 MDC@ACOE (SBCMI) 10/24/10
<strong>HSD</strong> <strong>Grade</strong> 6<br />
<strong>Benchmark</strong> 1 <strong>Study</strong> <strong>Guide</strong><br />
5<br />
The Sojourn family went on vacation. They<br />
started with $2,000. If they spent $50 each<br />
day, write an expression that represents how<br />
much money they will have after days<br />
5 ′<br />
Ellen had some change in her pocket. After<br />
her friend gave her $0.45, Ellen had $1.35<br />
altogether. Write an equation that Ellen can<br />
use to find her original amount of money.<br />
Money started<br />
with<br />
Money spent<br />
each day<br />
Number of<br />
days<br />
$2000 $50<br />
6<br />
=<br />
Grouping symbols<br />
Exponents<br />
Multiplication Division<br />
Addition Subtraction<br />
AF 1.1<br />
( ) 6 − ( 3 • 2)<br />
6 ′ 5 + 2<br />
[ ]<br />
AF 1.1<br />
=<br />
=<br />
=<br />
= 7<br />
AF 1.4<br />
AF 1.4<br />
Page 3 of 9 MDC@ACOE (SBCMI) 10/24/10
<strong>HSD</strong> <strong>Grade</strong> 6<br />
<strong>Benchmark</strong> 1 <strong>Study</strong> <strong>Guide</strong><br />
7<br />
The steps Quentin took to evaluate the<br />
expression when are shown<br />
below.<br />
3m − 3 ÷ 3<br />
3 × 8 = 24<br />
24 − 3 = 21<br />
21 ÷ 3 = 7<br />
7 ′<br />
The steps Gina took to evaluate the expression<br />
when are shown below.<br />
5y + 5 × 5<br />
5 × 2 = 10<br />
10 + 5 = 15<br />
15 × 5 = 75<br />
What should Quentin have done differently in<br />
order to evaluate the expression<br />
What should Gina have done differently in order<br />
to evaluate the expression<br />
Grouping<br />
Exponents<br />
Multiplication<br />
Division<br />
Addition<br />
Subtraction<br />
Answer: Quentin should have subtracted<br />
3 ÷ 3 ( ) from 24. AF 1.3<br />
AF 1.3<br />
Page 4 of 9 MDC@ACOE (SBCMI) 10/24/10
<strong>HSD</strong> <strong>Grade</strong> 6<br />
<strong>Benchmark</strong> 1 <strong>Study</strong> <strong>Guide</strong><br />
8<br />
Wendy went shopping and bought jeans (j)<br />
for $35 each, hats (h) for $12 each and<br />
sweaters (s) for $30 each. Write an expression<br />
that can be used to find the total cost of<br />
Wendy’s shopping trip.<br />
Make a verbal model:<br />
8 ′<br />
A telephone company charges $0.05 per<br />
minute for local calls and $0.12 per minute<br />
for long distance calls. Write an expression<br />
that shows the total cost in dollars for<br />
minutes of local calls and minutes of<br />
long-distance calls.<br />
Price of<br />
jeans<br />
Amt. of<br />
Jeans<br />
Price of<br />
Amt. of<br />
+ sweater<br />
sweater<br />
+<br />
Price<br />
per hat<br />
Amt. of<br />
hats<br />
AF 1.2<br />
AF 1.2<br />
9 Evaluate<br />
9 ′ Evaluate<br />
Method 1: Area Model<br />
-12<br />
-3<br />
=36<br />
Method 2: Partial Products<br />
NS 2.3<br />
NS 2.3<br />
Page 5 of 9 MDC@ACOE (SBCMI) 10/24/10
<strong>HSD</strong> <strong>Grade</strong> 6<br />
<strong>Benchmark</strong> 1 <strong>Study</strong> <strong>Guide</strong><br />
10<br />
The total cost of a movie ticket t, soda s, and<br />
popcorn p, is $12.50. If the soda and popcorn<br />
together cost $4.50, write an algebraic<br />
equation to find the cost of the movie ticket t,<br />
the solve.<br />
a) Write the equation<br />
10 ′<br />
Rita is moving a pile of 120 rocks by hand<br />
to build a rock wall. Given represents the<br />
number of rocks she can carry in one load,<br />
write an expression that represents the total<br />
number of loads needed to move the entire<br />
pile of rocks.<br />
b) Solve the equation<br />
Use Bar Model:<br />
t<br />
$4.50 t = $8.00<br />
$12.50<br />
AF 1.1<br />
AF 1.1<br />
11<br />
Order the list of numbers from least to<br />
greatest.<br />
11 ′<br />
Order the following set of numbers from<br />
greatest to least.<br />
1 1 8 , 0.8, 1.8, 1 8<br />
1 1 3 , 2 3 , − 1 3 , 9 5<br />
Use a number line:<br />
0.8<br />
1.8<br />
Convert to Decimals:<br />
Convert to Fractions:<br />
1.1<br />
NS<br />
1.1<br />
NS<br />
Page 6 of 9 MDC@ACOE (SBCMI) 10/24/10
<strong>HSD</strong> <strong>Grade</strong> 6<br />
12 What is<br />
Use a counter model:<br />
12 ′<br />
<strong>Benchmark</strong> 1 <strong>Study</strong> <strong>Guide</strong><br />
What is<br />
-13 + (-27) = -40<br />
Add integers using Absolute Value:<br />
Add the absolute<br />
values of the<br />
addends.<br />
Then add the<br />
negative sign.<br />
NS2.3<br />
NS 2.3<br />
13<br />
Find the value of n in order to make the<br />
following equation true.<br />
13 ′<br />
Find the value of k in order to make the<br />
following expression true.<br />
Method 1:<br />
Method2:<br />
Method 3:<br />
AF 1.1<br />
AF 1.1<br />
Page 7 of 9 MDC@ACOE (SBCMI) 10/24/10
<strong>HSD</strong> <strong>Grade</strong> 6<br />
<strong>Benchmark</strong> 1 <strong>Study</strong> <strong>Guide</strong><br />
14<br />
Write an expression that is equivalent to the<br />
area, in square units, of the triangle below.<br />
14 ′<br />
The rectangle shown below has length 27<br />
centimeters and perimeter P centimeters.<br />
18 27<br />
Write an equation that could be used to find<br />
the width of the rectangle.<br />
Hint:<br />
AF 3.1<br />
AF 3.1<br />
End of <strong>Study</strong> <strong>Guide</strong><br />
Page 8 of 9 MDC@ACOE (SBCMI) 10/24/10
<strong>HSD</strong> <strong>Grade</strong> 6<br />
<strong>Benchmark</strong> 1 <strong>Study</strong> <strong>Guide</strong><br />
Answer Key<br />
Item Number Answer California Standard<br />
1 NS 2.3<br />
2 NS 1.1<br />
3 3 NS 2.3<br />
4 NS 2.3<br />
5 AF 1.1<br />
6 0 AF 1.4<br />
7<br />
MULTIPLIED 5(2)<br />
THEN ADDED 25.<br />
AF 3.1<br />
8 AF 1.2<br />
9 72 NS 2.3<br />
10 AF 1.1<br />
11 NS 1.1<br />
12 4 NS 2.3<br />
13 108 AF 1.1<br />
14 AF 3.1<br />
Page 9 of 9 MDC@ACOE (SBCMI) 10/24/10