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E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8
STER. . A M E ACKLIN IN ANY WAY L B A S NOT PRODUCED I T I . GHTED TO BE RE I R Y P K K IS CO R THIS BOO O O B N FO MPLE E A V S I G S I T TH IS NO N O I S IS PERM
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Easy-to-Use Math Activities to Do At Home ………….. At-Home Success 3 Weeks to Better Math Grade Levels 2-8 • • • •
Letter to the At-Home Helper includes tips and strategies to guide the student. 3 booklets of math activities for students to complete with an at-home helper (or on their own). Includes modeled instruction and independent practice Aligned to NCTM Standards
Level B C D E F G H
Grade Level 2 3 4 5 6 7 8
Available in Spanish Levels 2-6
25-Pack 2419-X 2421-1 2423-8 2425-4 2427-0 2429-7 2431-9
-----------------------------------888-99-RALLY www.RALLYEDUCATION.com
At-Home Success: 1 Week to Better Math
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E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8
STER. . A M E ACKLIN IN ANY WAY L B A S NOT PRODUCED I T I . GHTED TO BE RE I R Y P CO OOK S I B K S I O H PLE BO IVEN FOR T M A S THIS NOT G S I N ISSIO PERM
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Copyright Š2006 RALLY! EDUCATION. All rights reserved. No part of the material protected by this copyright may be reproduced in any form by any means, electronic or mechanical, including photocopying, recording, or by any information storage and retrieval system, without permission in writing from the copyright owner. Printed in the U.S.A.
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At-Home Success: 1 Week to Better Math
Introduction
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Dear At-Home Helper, There are 10 strategies a person uses to work math problems. At-Home Success: 1 Week to Better Math is designed to show a Learner at home how to use these strategies and become a better problem solver. Learners must use these 10 strategies to answer questions on math tests. At-Home Success: 1 Week to Better Math is designed for an At-Home Helper to work alongside the Learner. The directions and hints should be read to your Learner. The check mark x means that you should read this information with the Learner.
E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8
Our goal is to help the Learner become better at solving math problems and taking tests. Each strategy has a model problem that is solved using the 5-Step Problem Solving Plan, followed by two practice problems. Congratulations for taking an active interest in your Learner’s education!
Day 1:
Review the strategy and answer questions: STER. . A M E Draw a Picture or Diagram ACKLIN IN ANY WAY L B A Organize: Make a Chart or List, Graph, Sort Data UCED IS NOT
. IT PROD D E E T R H E G Day 2: Review the strategy andISanswer PYRIquestions: K TO B O O C O B Work BackwardsLE BOOK R THIS O F P N M E A Use Manipulatives GIVOut THIS S IS NorOTAct N SSIOstrategy Ithe M Day 3: Review and answer questions: R E P
Compute: Write a Number Sentence, Make a Ratio or Proportion Use a Formula or Rule
Day 4: Review the strategy and answer questions: Guess and Check Make it Simpler
Day 5:
Review the strategy and answer questions: Make Estimates Look For a Pattern
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At-Home Success: 1 Week to Better Math
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Day 1 Model Problem
x Read the problem then solve it using the 5-Step Problem Solving Plan. We have done most of this problem for you. You need to complete it.
Draw a Picture or Diagram 1. Kerry is hiking up the side of Mount Avery. He starts his hike at sea level. For every 1 ᎏᎏ mile he hikes, his altitude increases by 150 feet. How far above sea level will he 4 3 be after hiking 1ᎏᎏ miles? 4 Use the 5-Step Problem Solving Plan:
E L P SAM ATION C U x 2. FIND D E ! Y L RAL 99.RALLY x 3. CHOOSE A STRATEGY . 8 8 8 x 4. SOLVE THE PROBLEM x 1. DECIDE — What are you being asked to do?
3 Find Kerry’s altitude after hiking for 1ᎏᎏ miles. 4 — What information do you need to solve the problem? How much Kerry’s altitude increases as he hikes up the mountain — How can the problem be solved? STER. . A M E WAY Drawing a diagram will make it easier to see how Kerry’s altitude Y ACKLIN increases L N A B A N I as he hikes. IS NOT DUCED
. IT D E T REPROhike. H E G B I — Use the diagram to see Kerry’s R O COPY IS BOOK T 3 S I K O BO R TH 1 1 4 Mt. Avery E O L F P N M E A 12 THIS S IS NOT GIV ed 1 k i N 14 H ISSIO les PERM Mi 1 3 4
1 2
1 4
1,050 900 750
Altitude (ft.)
600 450 300
150
Sea Level
1 The diagram shows that every time Kerry hikes ᎏᎏ mile his altitude increases by 4 3 150 feet. After 1ᎏᎏ miles, Kerry will be feet above sea level. 4
x 5. CHECK — Does the answer make sense? 1 3 Yes, because there are 7 segments of ᎏᎏ mile in 1ᎏᎏ miles. 4 4 7 ⫻ 150 ft. ⫽ 1,050 ft.
4
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At-Home Success: 1 Week to Better Math
Day 1
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On Your Own x Read the problems, then solve them using the 5-Step Problem Solving Plan and the Draw a Picture or Diagram Strategy.
2. When Peter walked 20 feet into the water at Berry’s Bay, the water was 3 feet deep. For every 5 feet he walked after that, the depth increased by 6 inches. How deep would the water be if Peter could walk 65 feet into the bay? 1 A) 4ᎏᎏ ft. 2 B) 6 ft. 1 C) 7ᎏᎏ ft. 2
STER. . A M E ACKLIN IN ANY WAY L B A S NOT PRODUCED I T I . GHTED TO BE RE I R Y P CO OOK S I B K S I O H PLE BO IVEN FOR T M A S There were T G Smith Street Bike Race. Billy finished last. TH5ISentriesISinNOthe N Kate finishedISfirst. SIO Larry finished ahead of Erica and Wilson finished PERMWho came in third? after Erica. D) 9 ft.
3.
E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8
Answer
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At-Home Success: 1 Week to Better Math
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Day 1 Model Problem
x Read the problem then solve it using the 5-Step Problem Solving Plan. We have done most of this problem for you. You need to complete it.
Organize: Make a Chart or List, Graph, Sort Data 4. At the Munsey School there are 82 students in the drama club, 48 of whom are boys. There are 125 students on athletic teams, 83 of whom are girls, and 18 students in the coin club, 8 of whom are boys. Which school activities have the highest percentage of boys and girls at the Munsey School?
E L P x 1. DECIDE SAM ATION C U D x 2. FIND E ! Y L Y L AL L R A R . 9 x 3. CHOOSE A STRATEGY 9 . 8 8 8
— What are you being asked to do? Find the activities that have the highest percentage of boys and girls. — What information do you need to solve the problem? The number of boys and girls participating in each activity
STER. . A M E — How can the problem be solved? ACKLIN IN ANY WAY L B A OTsolve the Organizing the data into a chart will make it easier C ED Uproblem. S Nto I D T O I R . GHTED TO BE REP I R Y P COthe chart x 4. SOLVE THE PROBLEM O—K Use below. OOK S I B S I H PLE BO IVEN FOR T M A S G HIS NOT Girls S I Activity T Boys (%) (%) Total N O I S S I PERM 48 59% 34 41% Drama club 82 Athletics
42
34%
83
66%
125
Coin club
8
44%
10
56%
18
has the highest percentage of boys. has the highest percentage of girls.
x 5. CHECK — Does the answer make sense? Yes, it is clear from the chart.
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At-Home Success: 1 Week to Better Math
Day 1
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On Your Own x Read the problems, then solve them using the 5-Step Problem Solving Plan and the Organize Strategy.
5. Jake is 13 years old. His sister is 3 years younger. In how many more years will their ages both be odd? A) 1 year B) 5 years C) 6 years D) never
6.
E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8
STER. . A M E N primeY WAY Greg was given a number by his teacher and asked to write ACKLIthe L B A N AN I T D O E factors in exponential form. The number he was given was 56. What N C . IT IS E REPRODU D E T should Greg write? H G PYRI K TO B O O C O S I B BOOK R THIS E O L F P N M E A THIS S IS NOT GIV ISSION M R E P
Answer
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At-Home Success: 1 Week to Better Math
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Day 2 Model Problem
x Read the problem then solve it using the 5-Step Problem Solving Plan. We have done most of this problem for you. You need to complete it.
Work Backwards 7. Cali had lots of toys that she no longer uses and decided to give them away. 1 1 She gave ᎏᎏ of her toys to her niece. After that she gave ᎏᎏ of the remaining toys 2 2 to her cousin and she still had 8 more toys left to give away. How many toys
E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8
did she originally have?
x 1. DECIDE — What are you being asked to do?
Find the number of toys Cali had before she gave any away.
x 2. FIND — What information do you need to solve the problem?
ER. 1 1 STcousin. A M to her Cali gave ᎏᎏ of her toys to her niece and ᎏᎏ of the remaining toys E AY. LIN W K 2 2 C Y A L N A B
D IN OT A E N C U S I D T She had 8 toys left. TED. I O BE REPRO H G I R COPY IS BOOK T S I K O x 3. CHOOSE A STRATEGY — How can H problem be solved? BO R Tthe E O L F P N M A Work backwards, GIVEthe toys she had left. OTwith THIS S starting N S I SION S I M R E x 4. SOLVE P THE PROBLEM — Start with the number of toys she had at the end. 1 8 ⫻ 2 ⫽ 16 (She must have had 16 toys when she gave ᎏᎏ to her cousin 2 because she had 8 left.) 1 16 ⫻ 2 ⫽ (She must have had toys when she gave ᎏᎏ to her niece 2 because she had 16 before she gave any to her cousin.) Cali originally had
toys.
x 5. CHECK — Does the answer make sense? 1 1 Yes, because ᎏᎏ of 32 is 16 and ᎏᎏ of 16 is 8. 2 2
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At-Home Success: 1 Week to Better Math
Day 2
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On Your Own x Read the problems, then solve them using the 5-Step Problem Solving Plan and the Work Backwards Strategy.
8. Dante bought a wallet that was $3.50 more than the belt he purchased. He spent $5.50 more on the belt than on the scarf, which cost $10.50. How much did Dante spend altogether? A) $6.50 B) $19.50 C) $24.50 D) $46.00
9.
E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8
STER. . A M E ACKLIN IN ANY WAY L B A S NOT PRODUCED I T I . D E RE GHTEcollected B90 I R O Y T P Mrs. Linton told her class that they had cans of food for the K CO OO S I B K S I O H charity drive. This was than FOR3Ttimes what was collected last year. PLE BO6 less N M E A V S I How many last year? IS wereNcollected OT G THcans S I N ISSIO PERM
Answer
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At-Home Success: 1 Week to Better Math
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Day 2 Model Problem
x Read the problem then solve it using the 5-Step Problem Solving Plan. We have done most of this problem for you. You need to complete it.
Use Manipulatives or Act Out 10. Maria has nickels, dimes and quarters. What is the fewest number of coins she can use to pay for something costing $2.95 with exact change?
x 1. DECIDE — What are you being asked to do?
E L P SAM ATION C x 3. CHOOSE A STRATEGY U D E ! Y L RAL 99.RALLY x 4. SOLVE THE PROBLEM . 8 8 8
Use the fewest number of nickels, dimes and quarters to make exactly $2.95.
x 2. FIND — What information do you need to solve the problem? The value of each coin and the exact amount needed in total
— How can the problem be solved? Use real coins or pictures of coins to make $2.95.
R. — Use manipulatives to see how this canAbe STEsolved
LINE M NY WAY. K C A L OT A B DUCED IN A N S I T TED. I of the REPROvalue coins as possible. To use the fewest coins you must use as many highest H E G B I R O COPY IS BOOK T S I K O BO R TH O F 11 quarters =SA $MPLE. N E OT GIV THIS N S I IS=SION M R dimes .20 E P with the fewest coins.
___________
$2.95 is the fewest number of coins she can use.
x 5. CHECK — Does the answer make sense? Yes, because making $2.95 with coins of lower value would require more coins.
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At-Home Success: 1 Week to Better Math
Day 2
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On Your Own x Read the problems, then solve them using the 5-Step Problem Solving Plan and the Use Manipulatives Strategy.
11. June wants to cover a rectangular floor with square tiles. The room is 24 feet by 16 feet. Each tile covers 4 square feet. How many tiles will be needed to cover the entire floor? A) B) C) D)
12.
80 96 192 384
E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8
STER. . A M E ACKLIN IN ANY WAY L B A S NOT PRODUCED I T I . GHTED TO BE REand flipped over the I R Y P Draw what the letter F rotated 90⏚ counterclockwise CO OOK S I B K S I O H x-axis would look like. PLE BO IVEN FOR T M A S THIS NOT G S I N ISSIO PERM
Answer
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At-Home Success: 1 Week to Better Math
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Day 3 Model Problem
x Read the problem then solve it using the 5-Step Problem Solving Plan. We have done most of this problem for you. You need to complete it.
Compute: Write a Number Sentence, Make a Ratio or Proportion 13. A flagpole casts a shadow of 12 feet. Jamie, who is 5 feet tall, is standing near the flagpole. Her shadow is 3 feet long. Based on this information, find the height of the flagpole.
E L P M A S N O x 2. FIND I T A C U D E ! Y ALL 9.RALLY R 9 x 3. CHOOSE A STRATEGY . 8 8 8 x 1. DECIDE — What are you being asked to do? Find the height of the flagpole.
— What information do you need to solve the problem? flagpole’s shadow ⫽ 12 ft. Jamie’s height ⫽ 5 ft. Jamie’s shadow ⫽ 3 ft.
STER. . A M E — How can the problem be solved? ACKLIN IN ANY WAY L B A OT shadow C ED Form a proportion from the two ratios, comparing Ulengths S Nthe I D T O I R . and the heights. GHTED TO BE REP I R Y P CO OOK S I B K S I O H R Tproportion to find the height of the flagpole. FOthe PLE BO— Solve x 4. SOLVE THES PROBLEM N M E A V S I THI NOT G S I N Let X ⫽ heightSSof flagpole I IO PERM flagpole
Jamie
X (ht) ⫽ ___ 12 (shadow)
5 (ht) ___ 3 (shadow)
3 X ⫽ 60 X⫽
The flagpole is
feet tall.
x 5. CHECK — Does the answer make sense? 20 5 Yes, because the ratios ᎏᎏ and ᎏᎏ are equal. 12 3
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At-Home Success: 1 Week to Better Math
Day 3
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On Your Own x Read the problems, then solve them using the 5-Step Problem Solving Plan and the Compute Strategy.
14. Mrs. Clay told her class that 17 less than 3 times a certain number is equal to 1. What number is Mrs. Clay thinking about? A) 8 B) 6 C) 5 D) 3
15.
E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8
STER. . A M E ACKLIN IN ANY WAY L B A S NOT PRODUCED I T I . GHTED TO BE RE I R Y P CO OOK S I B K S I O H O 1 inch T Which is the smaller to a foot or 1 ounce LE Bratio, FORcompared P N M E A V S I comparedTto TG HISa pound? NOWhy? S I N ISSIO PERM
Answer: ________________________________________________________________________________ ________________________________________________________________________________ ________________________________________________________________________________ ________________________________________________________________________________ ________________________________________________________________________________ RALLY! EDUCATION. IT IS ILLEGAL TO COPY THIS BOOK. VISIT US AT WWW.RALLYEDUCATION.COM
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At-Home Success: 1 Week to Better Math
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Day 3 Model Problem
x Read the problem then solve it using the 5-Step Problem Solving Plan. We have done most of this problem for you. You need to complete it.
Use a Formula or Rule 16. Nicolette’s circular fish pond has a circumference of 30 feet. She wants to put a wood plank over the widest part of the pond. To the nearest foot, what is the minimum length of the board Nicolette would have to use?
E L P M A S N x 2. FIND O I T A C U D E ! Y x 3. CHOOSE A STRATEGY RALL 99.RALLY . x 4. SOLVE THE PROBLEM888 x 1. DECIDE — What are you being asked to do? Find the diameter of the fish pond.
— What information do you need to solve the problem? The value of and the circumference of the pond — How can the problem be solved? Use the formula for circumference (C ⫽ ⫻ d ).
STER. . A M E ACKLIN IN ANY WAY L B A — Substitute the numbers ED UCthe S NOTfor PRand I D T O I . circumference in the formula. GHTED TO BE RE I R Y P CO OOK S I B K S I O H C⫽⫻d PLE BO IVEN FOR T M A S THIS NOT G S I N ISSIO 30 ⫽ 3.14ER P ⫻Md ⫽d
To the nearest foot, the board must be at least
feet long.
x 5. CHECK — Does the answer make sense? Yes, because 10 times is a little more than the circumference (30).
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At-Home Success: 1 Week to Better Math
Day 3
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On Your Own x Read the problems, then solve them using the 5-Step Problem Solving Plan and the Use a Formula or Rule Strategy.
17. Henry’s water bucket holds 1.5 cubic feet of water. How many times would he have to empty a full bucket of water into the box before it would overflow?
E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8 3 ft.
2 ft.
6 ft.
STER. . A M E ACKLIN IN ANY WAY B) 21 L B A S NOT PRODUCED I T C) 24 I . GHTED TO BE RE I R Y P D) 36 CO OOK S I B K S I O H PLE BO IVEN FOR T M A S THIS NOT G S I N Jaime rode his IO to his grandmother’s house. He can pedal at an Sbike ERMIS of 18 miles per hour. If his grandmother lives 9 miles away, averagePspeed A) 15
18.
how long will it take him to get there?
Answer
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At-Home Success: 1 Week to Better Math
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Day 4 Model Problem
x Read the problem then solve it using the 5-Step Problem Solving Plan. We have done most of this problem for you. You need to complete it.
Guess and Check 1 19. Mario’s Pizza Shop sold 84 pizzas one Saturday afternoon. He sold ᎏᎏ more 3 cheese pizzas than mushroom pizzas. How many of each type of pizza did he sell?
E L P M A S N O I x 2. FIND T A C U D E ! Y ALL 9.RALLY R x 3. CHOOSE A STRATEGY 9 . 8 8 8 x 1. DECIDE — What are you being asked to do?
Find the number of cheese pizzas and mushroom pizzas that were sold. — What information do you need to solve the problem? 84 total pizzas sold 1 ᎏᎏ more cheese than mushroom 3
STER. . A M E — How can the problem be solved? ACKLIN IN ANY WAY L B A D OT to seeDUifCEcorrect. Guess how many of each type were sold and then S Ncheck I T O I R . GHTED TO BE REP I R Y P x 4. SOLVE THE PROBLEM O—K Continue to guess CO OOK until all the requirements are met. S I B S I H FOR T PLE BO& 54IVcheese N M Guess#1: 30 mushroom E A S T G84 but cheese is not ᎏ1ᎏ more) HIS NOto S Check: notT correct (adds I N 3 ISSIO PERM Guess#2: 33 mushroom & 44 cheese 1 Check: not correct (cheese is ᎏᎏ more than mushroom but does not add to 84) 3 Guess#3:
mushroom &
cheese
1 Check: correct (cheese is ᎏᎏ more than mushroom and adds to 84) 3 Mario sold
mushroom and
cheese pizzas.
x 5. CHECK — Does the answer make sense? Yes, because the answer meets both criteria.
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At-Home Success: 1 Week to Better Math
Day 4
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On Your Own x Read the problems, then solve them using the 5-Step Problem Solving Plan and the Guess and Check Strategy.
20. David and Javier have raised a total of $315 for the Hurricane Relief Fund. Javier raised $37 more than David. How much did David raise? A) $139 B) $149 C) $176 D) $278
21.
E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8
STER. . A M E ACKLIN IN ANY WAY L B A S NOT PRODUCED I T I . GHTED TO BE RE I R Y P CO OOK S I B K S I O H T Spencer and CooperLEcompared the they received on a science test. BO FORscores P N M E A V S I Spencer’s Tscore than Cooper’s. The sum of their scores G HIS wasIS10% NOThigher N was 168. What were their individual scores? ISSIO M R E P
Answer
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At-Home Success: 1 Week to Better Math
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Day 4 Model Problem
x Read the problem then solve it using the 5-Step Problem Solving Plan. We have done most of this problem for you. You need to complete it.
Make it Simpler 22. There are 8 students in the backgammon club. One afternoon each member played 1 game with each of the other members. How many games were played?
x 1. DECIDE — What are you being asked to do?
E L P M A S N x 2. FIND O I T A C U D E ! Y L L Y L A L R x 3. CHOOSE A STRATEGY A R . 9 9 . 8 8 8 x 4. SOLVE THE PROBLEM
Find the number of backgammon games played by the 8 members of the club that day. — What information do you need to solve the problem? The number of people who played (8) The number of games they played against each person (1) — How can the problem be solved? STER. . A M E Y IN be solved. Making a simpler problem will help you see how the problem LACKLcan NY WA
OT A B DUCED IN A N S I T — Start with fewer playing TED. Ipeople REPRO backgammon. H E G B I R O PY OOK T Players Who Plays OK IS CO Computation # of Games B S I H O T B R E O L F AMP b T GIVEN 2 ( a, b) THISaSwith 1 1 O N S I ISSION M R E P 3 (a, b, c) a with b & c (2 games) 4 (a, b, c, d)
b with c
(1 game)
2⫹1
3
a with b, c, & d b with c & d c with d
(3 games) (2 games) (1 game)
3⫹2⫹1
6
The number of backgammon games with 8 people would be: 7⫹6⫹5⫹4⫹3⫹2⫹1⫽
games were played.
x 5. CHECK — Does the answer make sense? Yes, because if we continued building the chart, there would be 28 games when we got to 8 players.
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At-Home Success: 1 Week to Better Math
Day 4
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On Your Own x Read the problems, then solve them using the 5-Step Problem Solving Plan and the Make It Simpler Strategy.
23. Annie was not sure how many ounces were in a pound. She found a table of measures to learn that 16 oz. ⫽ 1 lb. How many ounces are in x pounds? A) 16x B) x ⫹ 16 x C) ᎏᎏ 16 D) x ⫺ 16
24.
E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8
STER. . A M E ACKLIN IN ANY WAY L B A S NOT PRODUCED I T I . GHTED TO BE RE I R Y P CO OOK S I B K S I O H If each member of aLE6-person tennis BO FOR Tteam plays doubles with all the other P N M E A V S I teammates, doubles teams can be formed? S many TG THIhow NOdifferent S I N ISSIO PERM
Answer
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At-Home Success: 1 Week to Better Math
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Day 5 Model Problem
x Read the problem then solve it using the 5-Step Problem Solving Plan. We have done most of this problem for you. You need to complete it.
Make Estimates 25. Bill and Audrey went out for dinner. The bill came to $59.00. They had to leave in a hurry and had no coins, only dollar bills of different denominations. How much money should they leave if they want to be sure to leave about a 15% tip?
E L P AM S N O I T A x 2. FIND C U D E ! Y ALL 9.RALLY R x 3. CHOOSE A STRATEGY 9 . 8 8 8 x 1. DECIDE — What are you being asked to do?
Find the amount of money left if the tip is about 15% of the bill. — What information do you need to solve the problem? The amount of the bill ($59) and the percent (15) of the bill to be added for the tip
STER. . A M E — How can the problem be solved? ACKLIN IN ANY WAY L B A We know that no coins will be left, so we need to a tipUCto EDthe NOT S estimate I D T O I R . nearest dollar. GHTED TO BE REP I R Y P CO OOK S I B K S I O H x 4. SOLVE THE PROBLEM FOR T it is helpful to round off in order PLE BO— Sometimes N M E A V S I to estimate. THIS NOT G S I N SIO$60 and take 15% of that amount. Round $59 MISto PERup 10% of $60 is $6. 1 5% of 60 must be ᎏᎏ of that, or $3. 2 Therefore, a 15% tip would be about $9. $59 ⫹ $9 ⫽ $ They should leave $
.
x 5. CHECK — Does the answer make sense? Yes, because if you multiplied $59 ⫻ 15% the tip would be just under $9.
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At-Home Success: 1 Week to Better Math
Day 5
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On Your Own x Read the problems, then solve them using the 5-Step Problem Solving Plan and the Make Estimates Strategy.
26. Sam had to care for a grass athletic field that was 348 feet long and 197 feet wide. About how much area does Sam have to mow? A) 70,000 sq ft. B) 7,000 sq ft. C) 1,800 sq ft. D) 1,200 sq ft.
27.
E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8
STER. . A M E ACKLIN IN ANY WAY L B A S NOT PRODUCED I T I . GHTED TO BE RE I R Y P CO OOK S I B K S I O H BO per gallon Ronald’s car gets 18 FOR T of gasoline. His one-way trip to work is PLEmiles N M E A V S I 15.8 miles. howNO many IS T G round trips can he make on 10 gallons of gas? THAbout S I N ISSIO PERM
Answer
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At-Home Success: 1 Week to Better Math
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Day 5 Model Problem
x Read the problem then solve it using the 5-Step Problem Solving Plan. We have done most of this problem for you. You need to complete it.
Look for a Pattern 28. Maria has drawn a regular nonagon. She started to draw the diagonals. How many diagonals can be drawn?
x 1. DECIDE — What are you being asked to do?
E L P x 2. FIND SAM ATION C U D E ! Y L x 3. CHOOSE A STRATEGY RAL 99.RALLY . x 4. SOLVE THE PROBLEM888 Find the number of diagonals in a regular nonagon.
— What information do you need to solve the problem? There are 9 sides in a nonagon. A diagonal connects 2 non-adjacent vertices. — How can the problem be solved? . See how many diagonals there are in polygons with fewer sides. FindAthe STERpattern.
LINE M NY WAY. K C A L B D IN A — Look for a pattern.IS NOT A E C U D T TED. I O BE REPRO H G I R COPY IS BOOK T S I K O BO R TH E O L F P N M E A THIS S IS NOT GIV SION 3 sidesPERM4ISsides 5 sides 6 sides 7 sides 8 sides 9 sides
Sides Diagonals
3 4 5 6 7 8 9 ____________________________________________ 0 2 5 9
Notice differences between the number of diagonals increases by 1 as the number of sides increase. Project the next three numbers as 14, 20, and A nonagon has
.
diagonals.
x 5. CHECK — Does the answer make sense? Yes, because the number of diagonals increases in the recognized pattern.
22
RALLY! EDUCATION. IT IS ILLEGAL TO COPY THIS BOOK. VISIT US AT WWW.RALLYEDUCATION.COM
1
At-Home Success: 1 Week to Better Math
Day 5
G
On Your Own x Read the problems, then solve them using the 5-Step Problem Solving Plan and the Look for a Pattern Strategy.
29. Examine the values in the chart below. What is the missing number? X 2 4 6 8 10 20 ___________________________________________ Y A) 23 B) 39 C) 55 D) 59
30.
3
7
11
15
19
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E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8
STER. . A M E ACKLIN IN ANY WAY L B A S NOT PRODUCED I T I . GHTED TO BE RE I R Y P CO OOK S I B K S I O H RT LE BOmade Ptrain The cross-country itsFOfirst stop at 7:00 AM, its second stop at N M E A V S I G IS stopNatOT8:00 THthird 7:20 AM, its AM, and its fourth stop at 9:00 AM. If the S I N O I S S I stops continue PERM at the same rate, will there be a stop at noon? If so, what
number stop will that be?
Answer
RALLY! EDUCATION. IT IS ILLEGAL TO COPY THIS BOOK. VISIT US AT WWW.RALLYEDUCATION.COM
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At-Home Success: 1 Week to Better Math
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Day 5
Number Puzzle 31. Form a word using a letter that is only in the circle, a letter that is in both the triangle and the rectangle, and a letter that is in all three shapes. Letters can be in any order.
HW
E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8 LT AR
B Z
K
D MI P EF O S
G QV
UC
STER. . A M E ACKLIN IN ANY WAY L B A S NOT PRODUCED I T I . GHTED TO BE RE I R Y P CO OOK S I B K S I O H PLE BO IVEN FOR T M A S THIS NOT G S I N ISSIO PERM
Answer
Congratulations on completing At-Home Success. You are on your way to becoming a better problem-solver. RALLY! EDUCATION is proud to be a part of your learning experience.
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ISBN 1-4204-1922-6 R 1922-6