Bellwork California Standards Assessments Mathematics Level 3

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    Author

    Lauren Rips

    Editorial Consultants:

    Michelle N. Barnett

    Kent A. De Pue

    Erica Kaiser

    Margaret Kinney

    Gary W. Lovett

    Illustrators:

    Jos L. de la Rosa

    Carrie HerschBrenda Morales

    Copyright 2009 Bellwork Enterprises, Inc.

    All rights reserved. No part of this publication may be reproduced, in any form or by

    any means, without prior permission in writing from the publisher. The reproduction of

    any part for an individual, classroom, school, or school system is strictly prohibited.

    Bellwork is a registered trademark of Bellwork Enterprises, Inc.

    Bellwork

    921 Mariner Street

    Brea, CA 92821-3827

    Printed in the U.S.A. (08/11)

    ISBN 978-1-934930-08-3

    (800) 782-8869

    Fax (714) 482-2379

    www.bellwork.com

    BELLWORK Enterprises DO NOT DUPLICATE

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    Table of Contents

    Mathematics Assessments

    Count, read, and write whole numbers to 10,000 - N1.1 ........................................................... 1

    Compare and order whole numbers to 10,000 - N1.2 ............................................................... 5

    Identifying the place value for each digit up to 10,000 - N1.3 ................................................... 9

    Rounding numbers to the nearest ten, hundred, and thousand - N1.4 ..................................13

    Using expanded notation - N1.5 ............................................................................................... 17

    Finding the sum of two whole numbers between 0 and 10,000 - N2.1 ................................... 21

    Finding the difference of two whole numbers between 0 and 10,000 - N2.1 ......................... 25

    Knowing the multiplication table for numbers between 1 and 10 - N2.2 ............................... 29

    Using the inverse relationship of multiplication and division - N2.3 ..................................... 33

    Solving multiplication problems of multidigit numbers by one-digit numbers - N2.4 .......... 37

    Solving division problems of a multidigit number by a one-digit number - N2.5 .................. 41Understanding the special properties of 0 and 1 in multiplication and division - N2.6 ......... 45

    Determining unit cost - N2.7 .................................................................................................... 49

    Solving problems involving multiple skills - N2.8 .................................................................... 53

    Comparing fractions represented by drawings to show equivalency and

    to add and subtract simple fractions - N3.1 ....................................................................... 57

    Adding and subtracting simple fractions - N3.2 ....................................................................... 61

    Solving problems with money amounts in decimal notation

    (whole-number multipliers and divisors) - N3.3 ................................................................ 65

    Knowing the equivalencies of fractions and decimals - N3.4 .................................................. 69

    Representing quantities as expressions, equations, or inequalities - A1.1 .............................. 73

    Solving problems involving numeric equations or inequalities - A1.2 .................................... 77

    Selecting appropriate operational and relational symbols - A1.3 ............................................ 81

    Expressing and carrying out simple unit conversions - A1.4, M1.4 ........................................85

    Recognizing and using the commutative and associative properties

    of multiplication - A1.5 ........................................................................................................ 89

    Solving simple problems involving a functional relationship between

    two quantities - A2.1 ............................................................................................................ 93

    Extending and recognizing a linear pattern by its rules - A2.2 ................................................ 97

    Measuring the length and comparing the mass of objects - M1.1 ......................................... 101

    Determining area and volume - M1.2 ..................................................................................... 105

    Finding the perimeter of a polygon with integer sides - M1.3 ..............................................109

    Identify, describe, and classify polygons - M2.1 ..................................................................... 113

    Identify attributes of triangles and quadrilaterals - M2.2, M2.3 ............................................ 117

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    How much is eight times six hundred

    fifty-four?

    F 5,236

    G 5,032

    H 5,232

    J 5,152

    How much is seven times seven hundred

    sixty-two?

    F 4,924

    G 5,334

    H 5,424

    J 4,934

    Eight students are sitting at each lunch

    bench. There are 16 benches. How manystudents are sitting on the lunch benches?

    A 2

    B 32

    C 122

    D 128

    Twelve birds were sitting on each fence.

    There were 6 fences. How many birds weresitting on the fences?

    F 2

    G 18

    H 68

    J 72

    There are 321 students making 4 bookmarks

    each for a school fundraiser. How manybookmarks will they make altogether?

    A 12,084

    B 325

    C 1,284

    D 204

    There are 250 pieces of candy in each of the

    6 bins. How many pieces of candy are therealtogether?

    F 256

    G 1,200

    H 1,250

    J 1,500

    Mathematics Assessment 3 Category: Number SenseSkill: Solving multiplication problems ofmultidigit numbers by one-digit numbersStandard: N2.4

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    A 14,927

    B 17,947

    C 15,627

    D 17,927

    2,561

    7

    A 25,182

    B 25,189

    C 24,653

    D 25,082

    4,1976

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    Score:

    California Mathematics Content Standard: N2.4

    ______

    10

    Solve the problem below. Show your work.

    Solve the problem below. Show your work.

    = ______%

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    7,653

    4

    851

    9

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    Morgan had $10.00. She bought a pack of

    gum for $2.00 and a soda for $3.00. Howmuch money did she have left?

    A $5.00

    B $7.00

    C $8.00

    D $15.00

    Carlos picked 10 oranges. He ate 1. Then

    he picked 5 more. How many oranges doesCarlos have now?

    F 9 oranges

    G 14 oranges

    H 15 oranges

    J 16 oranges

    At the market, frozen fruit bars cost $4.50

    for a box of 9. Ice-cream bars cost 75 centseach. Would you be able to buy more

    frozen fruit bars or ice-cream bars foryour money?

    A frozen fruit bars

    B ice-cream bars

    8 dogs were playing at the dog park. 4 dogs

    went home, but 2 new dogs came. Howmany dogs are at the dog park now?

    F 2 dogs

    G 4 dogs

    H 6 dogs

    J 14 dogs

    Twelve fish were swimming upstream. On

    the way, they each ate three bugs. Twomore fish came and ate two bugs each.How many bugs were eaten altogether?

    A 32 bugs

    B 36 bugs

    C 40 bugs

    D 42 bugs

    Luisa had $20.00. She bought a sandwich

    for $4.00, a bag of chips for $1.00, and amilk for $2.00. How much money did shehave left?

    F $7.00

    G $4.00

    H $16.00

    J $13.00

    Mrs. Neumann had 9 sharpened pencils

    in a jar. 3 of them broke, so she put in5 new sharpened pencils. Then Addisonborrowed 1. How many sharpened pencilsare in Mrs. Neumanns jar now?

    A 15 pencils

    B 12 pencils

    C 10 pencils

    D 8 pencils

    At the pet store, a bag of 10 crickets costs

    $3.00 or you can buy each cricket for 50cents. To get more for your money, shouldyou buy a bag of 10 or 10 individually?

    F bag of 10

    G 10 individually

    Mathematics Assessment 3 Category: Number SenseSkill: Solving problems involving multipleskillsStandard: N2.8

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    California Mathematics Content Standard: N2.8

    ______

    10

    Solve the problem below.

    Take 5, add 5, subtract 2, subtract 4, multiply by 1. What is the answer?

    Solve the problem below.

    Take 10, subtract 6, add 4, multiply by 2. What is the answer?

    = ______%

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    Name _______________________________________

    Mathematics Assessment 3 Category: Algebra and FunctionsSkill: Solving problems involving numericequations or inequalitiesStandard: A1.2

    5

    2 6

    3 7

    4 8

    1

    77

    2 + 7 = 3

    A 6

    B 5

    C 4

    D 3

    8 2 > 4

    F 3

    G 4

    H 5

    J 6

    12 < 5 + 1

    A 4

    B 5

    C 3

    D 7

    14 7 = + 2

    F 1

    G 0

    H 2

    J 7

    4 + 6 = 2

    A 8

    B 10

    C 12

    D 14

    6 + < 9 1

    F 2

    G 3

    H 4

    J 5

    21 3 = 6 +

    A 0

    B 1

    C 2

    D 3

    5

    5 > 8

    F 3

    G 4

    H 5

    J 6

    Fill in the bubble next to the number that makes each number sentence true.

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    California Mathematics Content Standard: A1.2

    ______

    10

    Write a number sentence with both sides equal to one another.

    Write a number sentence where one side is greater than the other.

    = ______%

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    87

    Which of the following is used to find out

    how many feet are in 48 inches?

    A 48 12

    B 48 12

    C 48 + 12

    D 48 12

    Which of the following is used to find out

    how many cups are in 4 quarts?

    F 4 4

    G 4 + 4

    H 4 4

    J 4 4

    If Owen threw the baseball 90 feet, how

    many yards did he throw the ball?

    A 15 yards

    B 30 yards

    C 45 yards

    D 270 yards

    If Sadira is 9 years old, how many months

    old is she?

    F 84 months

    G 96 months

    H 108 months

    J 120 months

    Which of the following is used to find out

    how many pounds are in 80 ounces?

    A 80 16

    B 80 16

    C 80 16

    D 80 + 16

    Which of the following is used to find out

    how many inches are in 3 feet?

    F 12 + 3

    G 12 3

    H 12 3

    J 12 3

    There are 1,000 liters in 1 kiloliter. How

    many liters are in 2 kiloliters?

    A 500 liters

    B 2,000 liters

    C 200 liters

    D 1,000 liters

    There are 1,000 millimeters in 1 meter.

    How many millimeters are in 5 meters?

    F 5,000 millimeters

    G 500 millimeters

    H 50,000 millimeters

    J 50 millimeters

    Mathematics Assessment 3 Category: Algebra and Functions/Measurement and GeometrySkill: Expressing and carrying out simpleunit conversionsStandards: A1.4, M1.4

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    9

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    Score:

    California Mathematics Content Standards: A1.4, M1.4

    ______

    10

    If Aris parrot is 7 years old, how many months old is he? Show your work.

    The slide below is 6 feet long. How many inches long is it? Show your work.

    = ______%

    6 ft

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    Name _______________________________________

    111

    Mathematics Assessment 3 Category: Measurement and GeometrySkill: Finding the perimeter of a polygon withinteger sidesStandard: M1.3

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    4

    What is the perimeter of the figure below?

    A 25 cm

    B 22 cm

    C 26 cm

    D 23 cm

    Look at the polygon below.

    What is the perimeter of the polygon?

    F 28 in.

    G 30 in.

    H 26 in.

    J 32 in.

    Each side of this hexagon is 3 centimeters

    long.

    What is the perimeter, in centimeters, of the

    hexagon?

    A 12 centimeters

    B 18 centimeters

    C 21 centimeters

    D 15 centimeters

    Each side of this square is 5 inches long.

    What is the perimeter, in inches, of thesquare?

    F 5 inches

    G 10 inches

    H 15 inches

    J 20 inches

    2

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    Score:

    California Mathematics Content Standard: M1.3

    ______

    6

    = ______%

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    5

    6

    A handball court is shaped like a rectangle; 12 feet long and 8 feet wide. What is the perimeter, in

    feet, of the court?

    The pool is shaped like a square; 35 feet long on each side. What is the perimeter, in feet, of the pool?

    feet

    feet

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    Author

    Lauren Rips

    Editorial Consultants:

    Michelle N. Barnett

    Kent A. De Pue

    Erica Kaiser

    Margaret Kinney

    Gary W. Lovett

    Illustrators:

    Jos L. de la Rosa

    Carrie HerschBrenda Morales

    Copyright 2009 Bellwork Enterprises, Inc.

    All rights reserved. No part of this publication may be reproduced, in any form or by

    any means, without prior permission in writing from the publisher. The reproduction of

    any part for an individual, classroom, school, or school system is strictly prohibited.

    Bellwork is a registered trademark of Bellwork Enterprises, Inc.

    Bellwork

    921 Mariner Street

    Brea, CA 92821-3827

    Printed in the U.S.A. (09/11)

    ISBN 978-1-934930-14-4

    (800) 782-8869

    Fax (714) 482-2379

    www.bellwork.com

    BELLWORK Enterprises

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    BELLWORK Enterprises

    Table of Contents

    Introduction and Objectives ..................................................................................................... I

    Organization of the Student Assessments ............................................................................ I

    Organization of the Teachers Guide ................................................................................... II

    Summative v. Formative and Assessments as Intervention........................................... II

    California Content Standards Single Letter Designations ........................................... II

    Mathematics Assessments

    Count, read, and write whole numbers to 10,000 - N1.1 ....................................................... A1

    Compare and order whole numbers to 10,000 - N1.2 ............................................................ A5Identifying the place value for each digit up to 10,000 - N1.3 ............................................... A9

    Rounding numbers to the nearest ten, hundred, and thousand - N1.4 ...............................A13

    Using expanded notation - N1.5 ............................................................................................ A17

    Finding the sum of two whole numbers between 0 and 10,000 - N2.1 ................................ A21

    Finding the difference of two whole numbers between 0 and 10,000 - N2.1 ...................... A25

    Knowing the multiplication table for numbers between 1 and 10 - N2.2 ............................ A29

    Using the inverse relationship of multiplication and division - N2.3 .................................. A33

    Solving multiplication problems of multidigit numbers by one-digit numbers - N2.4 ....... A37

    Solving division problems of a multidigit number by a one-digit number - N2.5 ...............A41

    Understanding the special properties of 0 and 1 in multiplication and division - N2.6 ...... A45

    Determining unit cost - N2.7 ................................................................................................. A49

    Solving problems involving multiple skills - N2.8 ................................................................. A53

    Comparing fractions represented by drawings to show equivalency and

    to add and subtract simple fractions - N3.1 .................................................................... A57

    Adding and subtracting simple fractions - N3.2 .................................................................... A61

    Solving problems with money amounts in decimal notation

    (whole-number multipliers and divisors) - N3.3 ............................................................. A65Knowing the equivalencies of fractions and decimals - N3.4 ............................................... A69

    Representing quantities as expressions, equations, or inequalities - A1.1 ........................... A73

    Solving problems involving numeric equations or inequalities - A1.2 ................................. A77

    Selecting appropriate operational and relational symbols - A1.3 ......................................... A81

    Expressing and carrying out simple unit conversions - A1.4, M1.4 .....................................A85

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    A35

    Mathematics Assessment 3 Category: Number SenseSkill: Using the inverse relationship ofmultiplication and divisionStandard: N2.3

    BELLWORK Enterprises

    Talia did this multiplication problem.

    14 27 = 378

    Which problem could she do to check her

    answer?

    A 378 + 27 =

    B 378 27 =

    C 378 27 =

    378 27 =

    Petro did this division problem.

    589 19 = 31

    Which problem could he do to check his

    answer?

    F 31 + 19 =

    G 31 19 =

    31 19 =

    J 31 19 =

    The figure below is a model for the

    multiplication sentence:

    5 4 = 20

    Which division sentence is modeled by the

    same figure?

    F 16 4 = 4

    20 4 = 5

    H 25 5 = 5

    J 20 10 = 2

    Liam and Samantha each used a different

    number sentence to solve the same problem.

    Liam used this number sentence:

    21 6 = 126

    Which of the following number sentences

    could Samantha have used to check Liams

    answer?

    A 21 + 6 = 27

    B 126 21 = 105

    126 6 = 21

    D 126 + 21 = 147

    3 If Kano multiplied 7 times 102 and got 714,which problem could he do to check his

    answer?

    A 714 7 =

    714 7 =

    C 102 7 =

    D 102 714 =

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    Score:

    California Mathematics Content Standard: N2.3

    ______

    7

    Use the inverse relationship to check the answer for this multiplication problem: 4 152 = 608Show your work.

    Use the inverse relationship to check the answer for this division problem: 216 8 = 26Show your work.

    = ______%

    BELLWORK Enterprises

    Is this problem correct?

    Is this problem correct? No

    Yes

    2682 0 8+

    )152

    6084

    2 02 00 880

    4

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    Name _______________________________________

    A57

    Mathematics Assessment 3 Category: Number SenseSkill: Comparing fractions represented bydrawings to show equivalency and to addand subtract simple fractionsStandard: N3.1

    BELLWORK Enterprises

    3

    2 4

    1 The square shows shaded.

    The circle shows shaded.

    What number goes in the box to make this

    number sentence true?

    A C

    B

    What number goes in the box to make this

    number sentence true?

    Use the figure below to help you solve the

    problem.

    H

    G J or 1

    +

    3

    5

    1

    5=

    2

    5

    4

    10

    2

    10

    4

    5

    +

    2

    3

    1

    3

    1

    3

    3

    6

    1

    2

    3

    3

    =

    Which fractional part of a square below is

    equal to ?

    1

    2

    1

    2

    A

    B

    C

    2

    3

    F

    G

    J

    Which fractional part of a circle below is

    equal to ?2

    3

    =1

    2

    =

    1

    4

    =6

    8

    =

    3

    8

    =2

    4

    =

    6

    8

    =3

    8

    =

    4

    6

    =3

    6

    =2

    3

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    Score:

    California Mathematics Content Standard: N3.1

    ______

    6

    = ______%

    BELLWORK Enterprises

    5

    6

    Shade each square to show equivalent fractions.

    Shade the figure below to show + , then write the sum as a fraction.1

    5

    2

    5

    3

    4

    6

    8

    =

    =

    3

    5

    any 3 shaded any 6 shaded

    any 3 shaded

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    Name _______________________________________

    A63

    Mathematics Assessment 3 Category: Number SenseSkill: Adding and subtracting simplefractionsStandard: N3.2

    BELLWORK Enterprises

    4

    5

    2

    6

    7

    1 What is the value of ?

    H

    G J

    What is the value of ?

    A C

    B

    What is the value of ?

    F H

    J

    What is the value of ?

    A C

    D

    3

    10

    4

    10+

    8

    9

    3

    9

    5

    6

    3

    6

    4

    8

    +2

    8

    7

    10

    1

    10

    7

    20

    3

    5

    11

    9

    5

    18

    11

    18

    8

    6

    2

    6

    2

    12

    2

    8

    6

    8

    6

    16

    8

    8

    1

    6

    5

    9

    The three heroes who pulled a trapped

    farmer from a burning barn divided thereward money into fourths. Robyn gave

    her of the reward money to her church.

    Scott gave his of the reward money to a

    charity. Kim gave her of the reward

    money to a homeless person. How much

    of the reward money did they give away?

    A

    B D

    A pizza was divided into eighths. Belinda

    ate of the pizza. Carlos ate of the pizza.

    Ty ate of the pizza. How much of the

    pizza was left?

    H

    G J

    1

    41

    4

    14

    2

    4

    34

    4

    4

    1

    8

    2

    82

    8

    3

    8

    5

    8

    4

    8

    2

    8

    Marinas parents brought an apple pie to a

    family picnic. They divided the apple pie

    into sevenths. Marina ate of the pie. Her

    dad ate of the pie. How much of the piedid Marina and her dad eat altogether?

    A

    B D

    1

    7

    3

    1

    7

    2

    7

    3

    7

    4

    7

    2

    7

    1

    4

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    Score:

    California Mathematics Content Standard: N3.2

    ______

    9

    = ______%

    BELLWORK Enterprises

    8

    9

    What is the value of ? Shade in the figures below to help you solve the problem.

    What is the value of ? Shade in the figures below to help you solve the problem.

    2

    5

    2

    5+

    1

    2

    1

    4+

    +

    +

    =

    =

    45

    34

    any 2 shaded any 4 shaded

    any 2 shaded

    any 2 shaded any 3 shaded

    any 1 shaded

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    A105

    What is the area of the rectangle below?

    What is the volume of the solid figure below

    made with cubes?

    What is the volume of the solid figure below

    made with cubes?

    What is the area of the square below?

    What is the volume of the solid figure below

    made with cubes?

    What is the volume of the solid figure below

    made with cubes?

    Mathematics Assessment 3 Category: Measurement and GeometrySkill: Determining area and volumeStandard: M1.2

    BELLWORK Enterprises

    A 4 units2 C 11 units2

    B 7 units2 28 units2

    1

    1

    F 6 units2 H 18 units2

    G 12 units2 36 units2

    1

    1

    F 6 cubic units

    G 9 cubic units

    H 10 cubic units

    12 cubic units

    A 8 cubic units

    B 10 cubic units

    16 cubic units

    D 20 cubic units

    A 6 cubic units 12 cubic units

    B 18 cubic units D 24 cubic units

    8 cubic units

    G 4 cubic units

    H 16 cubic units

    J 12 cubic units

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    8

    Score:

    California Mathematics Content Standard: M1.2

    ______

    8

    Using the grid below, shade in a rectangle that has an area of 24 square units.

    What is the volume of the figure below?

    = ______%

    BELLWORK Enterprises

    cubic units9

    (or 6 4, 4 6, or 12 2)+ + +

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    Name

    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.

    31.

    32.

    A

    2.2

    Extendingandrecognizingalinear

    patternbyitsrules

    A

    2.2

    Extendingandrecognizingalinear

    patternbyitsrules

    M

    1.1

    M

    easuringthelengthand

    comparingthemassofobjects

    M

    1.1

    M

    easuringthelengthand

    comparingthemassofobjects

    M

    1.2

    D

    eterminingareaandvolume

    M

    1.2

    D

    eterminingareaandvolume

    M

    1.3

    Findingtheperimeterofapolygon

    w

    ithintegersides

    M

    1.3

    Findingtheperimeterofapolygon

    w

    ithintegersides

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