Grade K-Algebra 2...ISBN: 978-0-07-662454-6 MHID: 0-07-662454-4 D i a g n o s ti c C h a r t...

ISBN: 978-0-07-662454-6MHID: 0-07-662454-4

Diagnostic Chart

suggestions for intervention and remediation suggested materials

Diagnostic and Placement Tests

Grade K-Algebra 2simplify placement

decisions

Scoring Guide

simplify placement

Sco ide

Diagnostic and Placement Tests for Grades K through 8, Algebra 1, Geometry, and Algebra 2

Grade K-Algebra 2

ContentsUsing the Diagnostic and Placement Tests

Placement Options

When to Use the Placement Tests

Interpreting Scores

Scoring Guide Masters

Using Placement Tests for Diagnostic Purposes

Learning Objectives Masters

Answer Keys

Inte

rvention/Remediation

connectED.mcgraw-hill.com

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Program: DPT Component: Test WorkbookPDF Proof

Vendor: Aptara Grade: Grade 4

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.Placement

TestScoringGuide

Student Name

For each part, mark the box under the number of correctly answered questions.

41 Diagnostic and Placement Tests

4

Total

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30

Math Triumphs

Grade 4 Strategic Intervention —See page 45 for materials list.

My Math, Grade 4

0 1 2 3 4 5 6 7 8 9 10

Number and Operations in Base Ten

Number and Operations-Fractions

Operations and Algebraic Thinking

Measurement and Data

Geometry

Mark the total number correct below.

Key: Consider this student for…

041_056_DPT_G4_662454.indd 41041_056_DPT_G4_662454.indd 41 9/20/11 12:17 PM9/20/11 12:17 PM



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Diagnostic and Placement Tests 42

PlacementTestLearning

Objectives 4

Student Name

In the column on the left, mark the questions that the student answered incorrectly.

Domain

Question

Number Objective

Number and Operations in Base Ten

1Compare two multi-digit numbers based on meanings of the digits in each place, using ., 5, and , symbols to record the results of comparisons.

2Use place value understanding to round multi-digit whole numbers to any place.

3Multiply a whole number of up to four digits by a one-digit whole number using strategies based on place value and the properties of operations.

4Compare two multi-digit numbers based on meanings of the digits in each place, using ., 5, and , symbols to record the results of comparisons.

5

Find whole-number quotients and remainders with up to four-digit dividends and one-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division.

Number and Operations – Fractions

6Compare two fractions with different numerators and different denominators.

7

Explain why a fraction a __ b is equivalent to a fraction (n 3 a)

______ (n 3 b)

by using visual fraction models, with attention to how the number and size of the parts differ even though the two fractions themselves are the same size.

8

Explain why a fraction a __ b is equivalent to a fraction (n 3 a)

______ (n 3 b)

by using visual fraction models, with attention to how the num-ber and size of the parts differ even though the two fractions themselves are the same size.

9Compare two decimals to hundredths by reasoning about their size.

10Use decimal notation for fractions with denominators 10 or 100.

11Solve word problems involving addition and subtraction of fractions referring to the same whole and having like denominators.

12 Understand a fraction a __ b as a multiple of 1 __ b .




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Domain

Question

Number Objective

Operations and Algebraic Thinking

13Solve multistep word problems posed with whole numbers and having whole-number answers using the four operations.

14Solve multistep word problems posed with whole numbers and having whole-number answers using the four operations.

15

Multiply or divide to solve word problems involving multiplicative comparison, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem.

16Represent verbal statements of multiplicative comparisons as multiplication equations.

17 Generate a number or shape pattern that follows a given rule.


19 Find all factor pairs for a whole number in the range 1–100.



Measurement and Data

22Use the four operations to solve word problems involving money.

23Know relative sizes of measurement units within one system of units including km, m, cm.

24Apply the area and perimeter formulas for rectangles in real world and mathematical problems.

25Apply the area and perimeter formulas for rectangles in real world and mathematical problems.

26Use the four operations to solve word problems involving intervals of time.

Geometry

27Recognize a line of symmetry for a two-dimensional figure as a line across the figure such that the figure can be folded along the line into matching parts.

28Identify angles (right, acute, obtuse) in two-dimensional figures.

29Classify two-dimensional figures based on the presence or absence of parallel or perpendicular lines.

30Draw points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines.




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A Special Note About Intervention

When using diagnostic tests, teachers should always question the reason behind the students’ scores. Students can struggle with mathematics concepts for a variety of reasons. Personalized instruction is recommended for English language learners, students with specific learning disabilities, students with certain medical conditions, or for those who struggle with traditional instructional practice. Teachers should always consider the needs of the individual student when determining the best approach for instruction and program placement.

Student

Performance

Level

Number of

Questions

Correct

Suggestions for Intervention and Remediation

Intensive

Intervention

0–17 Use Math Triumphs to accelerate the achievement of students who are two or more years below grade level. Students should follow a personalized remediation plan. A variety of materials and instructional methods are recommended. For example, instruction and practice should be provided in print, technology, and hands-on lessons.

Strategic

Intervention

18–23 Use the additional Intervention and Remediation materials listed on the next page. This list of materials can provide helpful resources for students who struggle in the traditional mathematics program. Strategic intervention allows students to continue to remain in the My Math program, while receiving the differentiated instruction they need. Teaching Tips and other resources are also listed in the Teacher Edition.

Grade 4 24 or more Use My Math. This student does not require overall intervention. However, based on the student’s performance on the different sections, intervention may be required. For example, a student who missed 2 or more questions in the Measurement and Data section may require extra assistance as you cover these skills throughout the year.

4




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Grade 4

Get ConnectGet ConnectED Find these materials at www.connectED.mcgraw-hill.com.

Reteach Masters A brief explanation, along with examples and exercises, for everylesson in the Student Edition (Two pages for Problem-SolvingLessons and one page per lesson for all other lessons) and included inthe Chapter Resource Masters

Self-Check Quizzes

Students can check their understanding for each lesson and emailtheir results to the teacher

ChapterReadinessQuizzes

Online assessment to use at the beginning of each chapter inthe Student Edition

Personal Tutor Online instructions for step-by-step solutions for the examples ofeach lesson in the student textbook

Math Songs Collections of songs, raps, and chants

Strategic InterventionGuide

Additional assessment with follow-up suggestions and activities forremediation

Additional Technology

ExamView® Assessment Suite

Networkable software includes a Worksheet Builder to makeworksheets and tests, a Student Module to take tests on-screen, and a Management System to keep student records

Grad




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LENGTH

Metric

1 meter = 100 centimeters

1 centimeter = 10 millimeters

Customary

1 yard = 3 feet

1 foot = 12 inches

TIME

1 year = 365 days

1 year = 12 months

1 year = 52 weeks

1 week = 7 days

1 day = 24 hours

1 hour = 60 minutes

1 minute = 60 seconds

Perimeter

square P = 4s

rectangle P = 2� + 2w or

P = 2(� + w )

Area

rectangle A = �w or

A = bh

12

34

56

78

910

1112

1314

1516

1718

1920

Cen

timet

ers

0

1 2 3 4 5 60Inches

Mathematics Chart




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1 Which set of numbers is in order from least 1 to greatest?

A 4324, 4432, 4243, 4234 C 4243, 4234, 4324, 4432 B 4432, 4324, 4243, 4234 D 4234, 4243, 4324, 4432

2 To enter a dog show, Tehya must weigh her 2 Great Dane and record his weight rounded to the

nearest ten pounds. Tehya’s Great Dane weighs 123 pounds. Which weight should Tehya record for the dog show?

F 100 pounds H 125 pounds G 120 pounds J 130 pounds

3 Find the unknown. 3

458 3 7 5 x

A 465 C 3,204 B 2,856 D 3,206

Diagnostic and

Placement

Grade 4

Name

Date

This test contains 30 multiple-choice questions. Work each problem in the space on this page. Select the best answer. Write the letter of the answer on the blank at the right.




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4 Which symbol makes the number sentence 4 27,543 27,343 true?

F . G , H 5 J 1

5 Find the unknown. 5

328 4 6 5 y

A 54 R4 C 56 B 54 R2 D 56 R4

6 Marley makes an apple pie and a blueberry pie 6 to serve at Thanksgiving dinner. After dessert,

she notices that 3 __ 8 of the apple pie remains and 1 __ 4

of the blueberry pie remains. Which statement

is TRUE concerning Marley’s observation?

F More apple pie remained than blueberry pie because 3 __ 8 . 1 __ 4 .

G More blueberry pie remained than apple pie because 3 __ 8 . 1 __ 4 .

H More apple pie was eaten than blueberry pie because 3 __ 8 , 1 __ 4 .

J Both pies had the same amount remaining because 3 __ 8 5 1 __ 4 .




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7 What fraction is not equivalent to the fraction of 7 cows in the group of animals?

A 2 __ 5 C 6 __ 15

B 4 __ 10 D 4 __ 5

8 Identify a fraction equivalent to the fraction 8 shown on the number line.

0 1/2 1

F 1 __ 3 H 3 __ 4

G 4 __ 6 J 7 __ 8

9 Which of the following numbers is the greatest? 9

A 11.6 C 4.63 B 2.09 D 1.17

10 Which point could represent 1.65? 10

1.5 21

P Q R S

F Point P G Point Q H Point R J Point S




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11 On Field Day, Camille hopped on one foot around 2 __ 5 11 of the track. Payton hopped on one foot around 1 __ 5 of the track. Together, how far did they hop around the track on one foot?

A 1 __ 5 B 2 __ 5 C 3 __ 5 D 4 __ 5

12 Which of the following number sentences is true 12 about 8 __ 5 ?

F 1 __ 8 1 1 __ 5 5 8 __ 5 H 1 __ 5 3 1 __ 8 5 8 __ 5

G 5 3 1 __ 8 5 8 __ 5 J 8 3 1 __ 5 5 8 __ 5

13 Jordan buys twenty-four gumballs at the candy 13 store. On the way home, he chews six gumballs

and gives three to his sister. How many gumballs does Jordan have left when he gets home?

A 13 B 14 C 15 D 16

14 Which signs go in the boxes to make the number 14 sentence true?

42 7 55 11

F 4; 1 G 2; 1 H 4; 3 J 2; 3




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15 Drew owns 4 sheets of stickers. Each sheet has 15 12 stickers. Which number sentence does not show how to find the total number of stickers Drew owns?

✪✪✪

✪✪✪

✪✪✪

✪✪✪

✪✪✪

✪✪✪

✪✪✪

✪✪✪

✪✪✪

✪✪✪

✪✪✪

✪✪✪

✪✪✪

✪✪✪

✪✪✪

✪✪✪

A 12 1 4 5 C 12 3 4 5 B 12 1 12 1 12 1 12 5 D 4 3 12 5

16 Heather and Matt both collect rocks. Heather 16 says that she has thirty-two rocks in her

collection. Matt says that he has three times as many rocks as Heather does. Which number sentence could Heather use to find the number of rocks in Matt’s collection?

F 32 1 3 H 32 3 3 G 32 2 3 J 32 4 3

17 The table below shows the number of crayons 17 in each box. If every box has the same number

of crayons, how many crayons will be in 8 boxes?

Number of Boxes Number of Crayons

1 8

2 16

3 24

A 8 B 32 C 64 D 72




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18 A line of ants is moving across Denise’s picnic 18 blanket. She counts 6 legs on the first ant, 12 legs on the first two ants, and 18 legs on the first three ants. If Denise continues to count, how many legs will she count on the first 12 ants?

F 24 legs G 56 legs H 60 legs J 72 legs

19 Which factor pair does not belong to 36? 19

A 1, 36 C 6, 6 B 2, 12 D 4, 9

20 Hector saves $5.00 of his allowance every week. 20 After 12 weeks he has $60.00 saved. Which table

could he use to show the amount of money he will save after 20 weeks?

F Week Money Saved

15 $65.00

16 $70.00

17 $75.00

18 $80.00

19 $85.00

20 $90.00

H Week Money Saved

15 $75.00

16 $80.00

17 $85.00

18 $90.00

19 $95.00

20 $100.00

G Week Money Saved

15 $70.00

16 $75.00

17 $80.00

18 $85.00

19 $90.00

20 $95.00

J Week Money Saved

15 $80.00

16 $85.00

17 $90.00

18 $95.00

19 $100.00

20 $105.00




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21 Bianca is building a tower with wooden blocks. 21 She counts the number of blocks on each level

and records it in the chart below.

Level 1 2 3 4 5

Blocks 20 16 12 8 4

Which statement describes the number of blocks on each level of her tower?

A Bianca adds 4 blocks with every level of the tower. B Bianca adds 6 blocks with every level of the tower. C Bianca subtracts 6 blocks with every level of the tower. D Bianca subtracts 4 blocks with every level of the tower.

22 Kiyoshi has three quarters, five dimes, and one 22 nickel in her piggy bank. Identify Kiyoshi’s total

amount of money and the operation used to calculate it.

F $1.10, addition G $1.10, subtraction H $1.30, addition J $1.30, subtraction




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23 Measure the length of the ribbon in centimeters. 23 About how long is the ribbon?

A 8 centimeters C 10 centimeters B 9 centimeters D 11 centimeters

24 A classroom is shaped like a rectangle with 24 a length of 30 feet and a width of 24 feet.

30 ft

24 ft

What is the perimeter in feet of the classroom?

F 54 feet G 84 feet H 108 feet J 720 feet

25 What is the area of this figure? 25

A 4 square units C 7 square units B 6 square units D 8 square units




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26 Sam’s baseball practice starts at 3:15. 26 His practice is 1 1 __ 2 hours long. What time does his practice end?

F H

G J

27 How many lines of symmetry are there in 27 the figure below?

A 0 C 5 B 1 D 10




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28 Look at the four angles marked on the picture 28 of a bicycle.

Which angle appears to be a right angle?

F angle 1 H angle 3 G angle 2 J angle 4

29 The polygon below has two right angles. 29

Which side of the polygon is parallel to side ___

AB ?

A ___

BC C ___

DE B

___

CD D ___

EA

30 Bella drew an angle that measured 105°. 30 What type of angle did she draw?

F right H obtuse G acute J straight



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Program: DPT Component: Test Workbook (AK)PDF Proof

Vendor: Aptara Grade: Grade K–Algebra 2

Dia

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48

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4

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27

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ind

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5

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A

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B

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D

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6 M

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1 W

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leas

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D

to

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t?

A

43

24, 4

432,

424

3, 4

234

C

4243

, 423

4, 4

324,

443

2

B

4432

, 432

4, 4

243,

423

4 D

42

34, 4

243,

432

4, 4

432

2 T

o en

ter a

dog

sho

w, T

ehya

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t wei

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2

G

Gre

at D

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and

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F

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poun

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H

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5 po

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120

pou

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J

130

poun

ds

3 F

ind

the

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3

D

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8 3

7 5

x

A

46

5

C

3,

204

B

2,

856

D

3,20

6

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Pla

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e D

ate

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each

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041_

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Answers (Grade 4)

161_207_DPT_AK_662454.indd 172161_207_DPT_AK_662454.indd 172 21/09/11 5:02 PM21/09/11 5:02 PM

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Dia

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50

11

On

Fiel

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ay, C

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on

one

foot

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2 __

5

11

C

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ton

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5

B

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D

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12

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the

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his

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ter.

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man

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an h

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left

whe

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me?

A

13

B

14

C

15

D

16

14

Whi

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xes

to m

ake

the

num

ber

14

F

sent

ence

true

?

42

7

5

5 1

1

F

4; 1

G

2; 1

H

4

; 3

J 2

; 3

041_

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7 W

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7

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s in

the

grou

p of

ani

mal

s?

A

2 __

5

C

6 _

_

15

B

4 _

_

10

D

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5

8 I

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9

A

A

11

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4.63

B

2.

09

D

1.17

10

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pres

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10

H

1.

52

1

PQ

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F

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J Po

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041_

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/11

12:

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Answers (Grade 4)



Copyright ©

The M

cGraw

-Hill C

ompanies, Inc. Perm


use.



Dia

gnos

tic a

nd P

lace

men

t Tes

ts

52

18

A li

ne o

f ant

s is

mov

ing

acro

ss D

enis

e’s

picn

ic

18

J

blan

ket.

She

cou

nts

6 le

gs o

n th

e fir

st a

nt, 1

2 le

gs o

n th

e fir

st tw

o an

ts, a

nd 1

8 le

gs o

n th

e fir

st th

ree

ants

. If D

enis

e co

ntin

ues

to c

ount

, ho

w m

any

legs

will

she

cou

nt o

n th

e fir

st 1

2 an

ts?

F

24 le

gs

G 5

6 le

gs

H

60 le

gs

J 72

legs

19

Whi

ch fa

ctor

pai

r doe

s no

t bel

ong

to 3

6?

19

B

A

1,

36

C

6,

6

B

2, 1

2

D

4,

9

20

Hec

tor s

aves

$5.

00 o

f his

allo

wan

ce e

very

wee

k.

20

H

A

fter

12

wee

ks h

e ha

s $6

0.00

sav

ed. W

hich

tabl

e co

uld

he u

se to

sho

w th

e am

ount

of m

oney

he

will

sa

ve a

fter

20

wee

ks?

F

We

ek

Mo

ne

y

Sa

ve

d

15$

65.0

0

16$

70.0

0

17$

75.0

0

18$

80.0

0

19$

85.0

0

20$

90.0

0

H

W

ee

kM

on

ey

S

av

ed

15$

75.0

0

16$

80.0

0

17$

85.0

0

18$

90.0

0

19$

95.0

0

20$

100.

00

G

W

ee

kM

on

ey

S

av

ed

15$

70.0

0

16$

75.0

0

17$

80.0

0

18$

85.0

0

19$

90.0

0

20$

95.0

0

J

Wee

kM

oney

S

aved

15$

80.0

0

16$

85.0

0

17$

90.0

0

18$

95.0

0

19$

100.

00

20$

105.

00

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5

1

Dia

gnos

tic a

nd P

lace

men

t Tes

ts

15

Dre

w o

wns

4 s

heet

s of

stic

kers

. Eac

h sh

eet h

as

15

A

12

sti

cker

s. W

hich

num

ber s

ente

nce

does

not

show

how

to fi

nd th

e to

tal n

umbe

r of s

tick

ers

D

rew

ow

ns?

✪ ✪ ✪

✪ ✪ ✪

✪ ✪ ✪

✪ ✪ ✪

✪ ✪ ✪

✪ ✪ ✪

✪ ✪ ✪

✪ ✪ ✪

✪ ✪ ✪

✪ ✪ ✪

✪ ✪ ✪

✪ ✪ ✪

✪ ✪ ✪

✪ ✪ ✪

✪ ✪ ✪

✪ ✪ ✪

A

12

1 4

5

C

12 3

4 5

B

12 1

12

1 1

2 1

12

5

D

4

3 1

2 5

16

Hea

ther

and

Mat

t bot

h co

llect

rock

s. H

eath

er

16

H

sa

ys th

at s

he h

as th

irty

-tw

o ro

cks

in h

er

colle

ctio

n. M

att s

ays

that

he

has

thre

e tim

es

as m

any

rock

s as

Hea

ther

doe

s. W

hich

num

ber

sent

ence

cou

ld H

eath

er u

se to

find

the

num

ber

of ro

cks

in M

att’

s co

llect

ion?

F

32 1

3

H

32 3

3

G 3

2 2

3

J 32

4 3

17

The

tabl

e be

low

sho

ws

the

num

ber o

f cra

yons

1

7

C

in e

ach

box.

If e

very

box

has

the

sam

e nu

mbe

r of

cra

yons

, how

man

y cr

ayon

s w

ill b

e in

8 b

oxes

?

Nu

mb

er

of

Bo

xe

sN

um

be

r o

f C

ray

on

s

18

216

324

A

8

B

32

C

64

D

72

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17 P

M

Answers (Grade 4)


Cop

yrig

ht ©

The

McG

raw

-Hill

Com

pani

es, I

nc. P

erm

issi

on

is g

rant

ed to

rep

rodu

ce f

or c

lass

room

use

.




Dia

gnos

tic a

nd P

lace

men

t Tes

ts

54

23

Mea

sure

the

leng

th o

f the

ribb

on in

cen

tim

eter

s.

23

A

A

bout

how

long

is th

e ri

bbon

?

A

8

cent

imet

ers

C

10

cen

tim

eter

s

B

9 ce

ntim

eter

s

D

11 c

enti

met

ers

24

A c

lass

room

is s

hape

d lik

e a

rect

angl

e w

ith

24

H

a

leng

th o

f 30

feet

and

a w

idth

of 2

4 fe

et.

30 ft

24 ft

W

hat i

s th

e pe

rim

eter

in fe

et o

f the

cla

ssro

om?

F

54 fe

et

G 8

4 fe

et

H

108

feet

J

720

feet

25

Wha

t is

the

area

of t

his

figur

e?

2

5

C

A

4

squa

re u

nits

C

7

squa

re u

nits

B

6

squa

re u

nits

D

8

squa

re u

nits

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12:

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5

3

Dia

gnos

tic a

nd P

lace

men

t Tes

ts

21

Bia

nca

is b

uild

ing

a to

wer

wit

h w

oode

n bl

ocks

.

21

D

S

he c

ount

s th

e nu

mbe

r of b

lock

s on

eac

h le

vel

and

reco

rds

it in

the

char

t bel

ow.

Le

ve

l1

23

45

Blo

cks

2016

128

4

W

hich

sta

tem

ent d

escr

ibes

the

num

ber o

f blo

cks

on

each

leve

l of h

er to

wer

?

A

B

ianc

a ad

ds 4

blo

cks

wit

h ev

ery

leve

l of t

he to

wer

.

B

Bia

nca

adds

6 b

lock

s w

ith

ever

y le

vel o

f the

tow

er.

C

B

ianc

a su

btra

cts

6 bl

ocks

wit

h ev

ery

leve

l of t

he to

wer

.

D

Bia

nca

subt

ract

s 4

bloc

ks w

ith

ever

y le

vel o

f the

tow

er.

22

Kiy

oshi

has

thre

e qu

arte

rs, f

ive

dim

es, a

nd o

ne

22

H

ni

ckel

in h

er p

iggy

ban

k. Id

enti

fy K

iyos

hi’s

tota

l am

ount

of m

oney

and

the

oper

atio

n us

ed to

ca

lcul

ate

it.

F

$1.

10, a

ddit

ion

G

$1.

10, s

ubtr

acti

on

H

$1.

30, a

ddit

ion

J

$1.

30, s

ubtr

acti

on

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17 P

M

Answers (Grade 4)



Copyright ©

The M

cGraw

-Hill C

ompanies, Inc. Perm


use.



Dia

gnos

tic a

nd P

lace

men

t Tes

ts

56

28

Loo

k at

the

four

ang

les

mar

ked

on th

e pi

ctur

e

28

F

of

a b

icyc

le.

W

hich

ang

le a

ppea

rs to

be

a ri

ght a

ngle

?

F

angl

e 1

H

angl

e 3

G

ang

le 2

J

angl

e 4

29

The

pol

ygon

bel

ow h

as tw

o ri

ght a

ngle

s.

29

C

W

hich

sid

e of

the

poly

gon

is p

aral

lel t

o si

de _

__

AB

?

A

_

__

B

C

C

_

__

D

E

B

__

_

CD

D

_

__

EA

30

Bel

la d

rew

an

angl

e th

at m

easu

red

105°

. 3

0

H

W

hat t

ype

of a

ngle

did

she

dra

w?

F

righ

t

H

ob

tuse

G

acu

te

J st

raig

ht

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5

5

Dia

gnos

tic a

nd P

lace

men

t Tes

ts

26

Sam

’s b

aseb

all p

ract

ice

star

ts a

t 3:1

5.

26

J

H

is p

ract

ice

is 1

1 __

2 h

ours

long

. Wha

t tim

e

does

his

pra

ctic

e en

d?

F

H

G

J

27

How

man

y lin

es o

f sym

met

ry a

re th

ere

in

27

C

th

e fig

ure

belo

w?

A

0

C

5

B

1

D

10

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12:

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M

Answers (Grade 4)


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