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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

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