Enrichment/Instructional Packet - ANSWER KEY - Grade 6 Mathematics - PGCPS
←
→
Page content transcription
If your browser does not render page correctly, please read the page content below
Grade 6 Mathematics
Enrichment/Instructional Packet
Middle School Mathematics
Prince George’s County Public Schools
Division of Academics
Department of Curriculum and Instruction
ANSWER KEY
The teacher will not grade this packet.This Enrichment Packet has been compiled to complement middle
school mathematics classroom instruction aligned to the Maryland
College and Career Ready Standards (MCCRS). The packet is
intended to be used for review and practice of previously taught and
new concepts.
We strongly encourage you to work diligently to complete the
activities. You may experience some difficulty with some activities in
this packet, but we encourage you to think critically and creatively and
complete them to the best of your ability.
2
Created March 2020Free Online Resources
Online math courses with video instruction and ST Math is an award-winning visual instructional
interactive practice for middle school, high school, program for grades K through 8. Click here to visit
developmental college math, and standardized test site.
prep. Click here to visit site.
Study Island provides standards-based practice, Fully aligned resource for math/ELA grades pk-
test preparation, and formative assessments in 12, and science/social studies 2-8. Click here to
grades K-12. Students get feedback to guide visit site.
their learning and educators get immediate data
to determine who needs intervention and who is
ready to move on. Click here to visit site.
Mathspace is the world’s first adaptive math Award winning K-8 online math program that
program for grades 3-12 that gives students looks at how a student is solving problems to
feedback at every step of their work. Also includes adjust accordingly and build a unique learning
full etextbook aligned to state and common core path for them. Click here to visit site.
standards and instructional videos and reporting
tools. Click here to visit site.
3
Created March 2020Week 1
Domain: Number System
Standard: 6.NS.1 -6.NS.3: Apply and extend previous understandings of multiplication
and division to divide fractions by fractions.
Directions:
1. Complete the problem below.
3 1
Chef Emerald had a recipe that called for lb onions and 1 lbs of pork. He was
4 3
preparing the recipe for a special event and needed to quadruple it to make enough
for all of his guests. How many pounds of onions and pounds of pork would he
need for the recipe?
Show all work.
Onions: ¾ x 4= 12/4=3 lb. onions
Pork: 1 ⅓ = 4/3 4/3 x 4/1 = 16/3 16 ÷ 3 = 5 ⅓ lb. pork
2. Create a problem about the estimated cost of ingredients for the large event recipe
in onions cost $2.99/lb and pork costs $5.49/lb. Include both an estimated solution and
an exact solution to see that your estimation is reasonable.
Estimated costs:
Onions: ~$3.00 x 3 = about $9.00
Pork: ~ $5.50 x 5 = about $27.50
Actual costs:
Onions: $2.99 x 3 = $8.97
Pork: $5.49 x $5.33 = $29.26
4
Created March 2020Week 2
Domain: Number System
Standard: 6.NS.6 Apply and extend previous understandings of numbers to the system
of rational numbers. Answers will vary.
Use the vocabulary squares to write a definition, a sentence, and an example for each vocabulary word.
Definition
integer
Example Sentence
Definition
positive integer
Example Sentence
Definition
negative integer
Example Sentence
5
Created March 2020Week 3
Domain: Number System
Standard: 6.NS.6: Apply and extend previous understandings of multiplication and
division to divide fractions by fractions.
1.) From the number line below, identify the correct value of Point C and Point B.
1 1
*A. C is at –1.1 and B is at –2.2 B. C is at − 1 and B is at − 2
2 2
1 1
C. C is at –1.25 and B is at –3.5 D. C is at − 1 and B is at − 2
4 2
2.) What numbers are graphed on the number line? Select each correct answer.
2.5 a. 2*
2
b. 1.4
1.5
1 c. 1.25*
0.5
d. 1.1
0
–0.5 e. –0.75*
–1
–1.5 f. –1.75
–2 g. –2.1
–2.5
h. –2.25*
6
Created March 2020Week 4
Domain: Number System
Standard: 6.EE.1: Apply and extend previous understandings of arithmetic to algebraic
expressions.
1. Omar said that it is impossible to raise a base number to the power of 2 and get a value less
than the base.
Part A
Do you agree with Omar?
Agree Disagree
Part B
Justify your reasoning in the space below.
2. Serena is playing a video game in which she captures butterflies. There are 2 butterflies on the
screen at the start of the game, and the number of butterflies doubles every minute. After four
minutes of playing the game, Serena had captured seven of the butterflies so they are taken
off the screen.
Write an expression that includes a power that represents the number of butterflies on the
screen at that time. Write your expression and justify why it is correct in the box below. Then
evaluate your expression.
There are 25 – 7 butterflies on the screen after 4 minutes. At the start of the game, there are 2
butterflies on screen (21 ); after 1 minute, there are 4 (22 ); after 2 minutes, there are 8 (23 );
after 3 minutes, there are 16 (24 ); after 4 minutes, there are 32 (25 ). To evaluate my
expression, (25 ) = 32 and 32 – 7 = 25, so there are 25 butterflies on the screen.
7
Created March 2020Week 5
Domain: Ratios and Proportional Relationship
Standard: 6.RP.1: Understand ratio concepts and use ratio reasoning to solve
problems.
The diagram shows the distance a tortoise can walk if it walks at a constant pace for 15
minutes. At the same rate, how many kilometers can the tortoise walk in 1 hour? Write
your answer as a decimal.
1.6
Megan buys a 2-quart bottle of juice for $2.56. What is the unit rate of the cost of the
juice? A
8
Created March 2020Weeks 6-10
Click here for answer key.
9
Created March 2020You can also read
