first grade - nc mathematicsmaccss.ncdpi.wikispaces.net/file/view/2013-2014 1st grade...
TRANSCRIPT
NC DEPARTMENT OF PUBLIC INSTRUCTION FIRST GRADE 1
FIRST GRADE 2013-2014
Mathematics Summative Assessment
Student Booklet
NC DEPARTMENT OF PUBLIC INSTRUCTION FIRST GRADE 2
STATE BOARD OF EDUCATION
The guiding mission of the North Carolina State Board of Education is that every public school student
will graduate from high school, globally competitive for work and postsecondary education and prepared
for life in the 21st Century.
WILLIAM COBEY
Chair :: Chapel Hill
A.L. COLLINS
Vice Chair :: Kernersville
DAN FOREST
Lieutenant Governor :: Raleigh
JANET COWELL
State Treasurer :: Raleigh
JUNE ST. CLAIR ATKINSON
Secretary to the Board :: Raleigh
BECKY TAYLOR
Greenville
REGINALD KENAN
Rose Hill
KEVIN D. HOWELL
Raleigh
GREG ALCORN
Salisbury
OLIVIA OXENDINE
Lumberton
JOHN A. TATE III
Charlotte
WAYNE MCDEVITT
Asheville
MARCE SAVAGE
Waxhaw
PATRICIA N. WILLOUGHBY
Raleigh
NC DEPARTMENT OF PUBLIC INSTRUCTION June St. Clair Atkinson, Ed.D., State Superintendent
301 N. Wilmington Street :: Raleigh, North Carolina 27601-2825
In compliance with federal law, the NC Department of Public Instruction administers all state-operated educational programs, employment
activities and admissions without discrimination because of race, religion, national or ethnic origin, color, age, military service, disability,
or gender, except where exemption is appropriate and allowed by law.
Inquiries or complaints regarding discrimination issues should be directed to:
Dr. Rebecca Garland, Chief Academic Officer :: Academic Services and Instructional Support
6368 Mail Service Center, Raleigh, NC 27699-6368 :: Telephone: (919) 807-3200 :: Fax: (919) 807-4065
Visit us on the Web :: www.ncpublicschools.org
For feedback about assessment please send to Denise Schulz ([email protected]) or Kitty Rutherford
NC DEPARTMENT OF PUBLIC INSTRUCTION FIRST GRADE 3
Task 1
Sam has 4 more pencils than Dan. Dan has 16 pencils. How many
pencils does Sam have?
Solve the problem.
Show your thinking with pictures, numbers, and/or words.
__________________ pencils
Write an equation that matches this story.
Use a symbol for the unknown number.
OPERATIONS AND ALGEBRAIC THINKING
Represent and solve problems involving addition and subtraction.
1.OA.1 Use addition and subtraction within 20 to solve word problems involving situations of adding to, taking from, putting
together, taking apart, and comparing, with unknowns in all positions, e.g., by using objects, drawings, and equations with a symbol
for the unknown number to represent the problem. Compare/Bigger Unknown
Add and subtract within 20.
1.OA.6 Add and subtract within 20, demonstrating fluency for addition and subtraction within 10. Use strategies such as counting
on; making ten; decomposing a number leading to ten; using relationship between addition and subtraction; and creating equivalent
but easier or know sums.
NC DEPARTMENT OF PUBLIC INSTRUCTION FIRST GRADE 4
Task 2
The Red team has 4 fewer balls than the Blue team. The Blue team
has 18 balls. How many balls does the Red team have?
Solve the problem.
Show your thinking with pictures, numbers, or words.
__________________ balls
Write an equation that matches this story.
Use a symbol for the unknown number.
OPERATIONS AND ALGEBRAIC THINKING
Represent and solve problems involving addition and subtraction.
1.OA.1 Use addition and subtraction within 20 to solve word problems involving situations of adding to, taking from, putting
together, taking apart, and comparing, with unknowns in all positions, e.g., by using objects, drawings, and equations with a symbol
for the unknown number to represent the problem. Compare/Smaller Unknown
Add and subtract within 20.
1.OA.6 Add and subtract within 20, demonstrating fluency for addition and subtraction within 10. Use strategies such as counting
on; making ten; decomposing a number leading to ten; using relationship between addition and subtraction; and creating equivalent
but easier or know sums.
NC DEPARTMENT OF PUBLIC INSTRUCTION FIRST GRADE 5
Task 3
Marsha is bird watching. She saw 4 red birds, 2 blue jays, and 6
robins. How many birds did Marsha see?
OPERATIONS AND ALGEBRAIC THINKING
Represent and solve problems involving addition and subtraction.
1.OA.2 Solve word problems that call for addition of three whole numbers whose sum is less than or equal to 20, e.g., by using
objects, drawings, and equations with a symbol for the unknown number to represent the problem.
Solve the problem.
Show your thinking with pictures, numbers, or words.
__________________ birds
Write an equation that matches this story.
NC DEPARTMENT OF PUBLIC INSTRUCTION FIRST GRADE 6
Task 4
Beth was working on her homework. Help her find the unknowns.
Write the unknown on the line beside the problem.
5 + ? = 12 ___
10 = ? + 4 ___
11 - 8 = ? ___
10 - ? = 3 ___
OPERATIONS AND ALGEBRAIC THINKING
Work with addition and subtraction equations.
1.OA.5 Relate counting to addition and subtraction.
1.OA.8 Determine the unknown whole number in an addition or subtraction equation relating three whole numbers.
NC DEPARTMENT OF PUBLIC INSTRUCTION FIRST GRADE 7
Task 5 Decide if each idea is mathematically True or False.
CIRCLE True or False.
a
It does not matter what order you add
the numbers.
11 + 3 is the same as 3 + 11.
True False
Explain your reasoning with pictures, numbers, or words.
b
I am adding 8 + 7 + 2.
I can add the 8 and the 2 to make a 10.
Then I can add the 7 to get the answer.
True False
Explain your reasoning with pictures, numbers, or words.
c.
I am trying to solve 12 - = 5.
I start at 12 and count on 5 more. I end up at 17.
True False
Explain your reasoning with pictures, numbers, or words.
OPERATIONS AND ALGEBRAIC THINKING
Understand and apply properties of operations and the relationship between addition and subtraction
1.OA.3 Apply properties of operations as strategies to add and subtract.
1.OA.4 Understand subtraction as an unknown-addend problem.
Add and subtract within 20.
1.OA.5 Relate counting to addition and subtraction.
NC DEPARTMENT OF PUBLIC INSTRUCTION FIRST GRADE 8
Task 6
Look at the equations below. Decide if each one is True or False.
Circle True or False.
OPERATIONS AND ALGEBRAIC THINKING
Work with addition and subtraction equations.
1.OA.7 Understand the meaning of the equal sign, and determine if equations involving addition and subtraction are true or false.
Use place value understanding and properties of operations to add and subtract.
1.NBT.4. Add within 100, including adding a two-digit number and a one-digit number, and adding a two-digit number and a
multiple of 10, using concrete models or drawings and strategies based on place value, properties of operations, and/or the
relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used. Understand that
in adding two-digit numbers, one adds tens and tens, ones and ones; and sometimes it is necessary to compose a ten.
1.NBT.6 Subtract multiples of 10 in the range 10-90 from multiples of 10 in the range 10-90 (positive or zero differences), using
concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition
and subtraction; relate the strategy to a written method and explain the reasoning used.
75 = 57 True False
30 = 40 – 10 True False
20 + 30 = 10 + 40 True False
12 + 8 + 5 = 17 + 8 True False
NC DEPARTMENT OF PUBLIC INSTRUCTION FIRST GRADE 9
Task 7
Continue the count for each set:
A.
63, 64, 65, _______, _______, _______, _______
B.
110, 111, 112, _______, _______, _______, _______
C. How many circles are in the box below? __________
NUMBER AND OPERATIONS IN BASE TEN
Extend the counting sequence.
1.NBT.1 Count to 120, starting at any number less than 120. In this range, read and write numerals and represent a number of
objects with a written numeral.
NC DEPARTMENT OF PUBLIC INSTRUCTION FIRST GRADE 10
Task 8
Joe uses chips to show a two digit number on the ten frames.
What number did Joe make? ____________
Explain how you solved the problem.
NUMBER AND OPERATIONS IN BASE TEN
Understand place value.
1.NBT.2 Understand that the two digits of a two-digit number represent amounts of tens and ones.
NC DEPARTMENT OF PUBLIC INSTRUCTION FIRST GRADE 11
Task 9
Use one of the 3 symbols below to make each equation true.
< = >
NUMBER AND OPERATIONS IN BASE TEN
Understand place value.
1.NBT.3 Compare two two-digit numbers based on meanings of the tens and ones digits, recording the results of comparisons with
the symbols <, >, and =.
84
48
75
87
70 + 9
79
50 + 6
66
NC DEPARTMENT OF PUBLIC INSTRUCTION FIRST GRADE 12
Task 10
38 + 40 = Solve the problem.
Show your thinking with pictures, numbers, and/or words.
23 + 8 = Solve the problem.
Show your thinking with pictures, numbers, and/or words.
NUMBER AND OPERATIONS IN BASE TEN
Use place value understanding and properties of operations to add and subtract.
1.NBT.4 Add within 100, including adding a two-digit number and a one-digit number, and adding a two-digit number and a
multiple of 10, using concrete models or drawings and strategies based on place value, properties of operations, and/or the
relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used. Understand that
in adding two-digit numbers, one adds tens and tens, ones and ones, and sometimes it is necessary to compose a ten.
NC DEPARTMENT OF PUBLIC INSTRUCTION FIRST GRADE 13
Task 11
Listen carefully as your teacher reads you a problem. It will be
repeated. Write your answer to the problems in the boxes below. You
only have to write your answer.
Problem A
Problem B
Problem C Problem D
NUMBER AND OPERATIONS IN BASE TEN
Use place value understanding and properties of operations to add and subtract.
1.NBT.5 Given a two-digit number, mentally find 10 more or 10 less than the number, without having to count; explain the
reasoning used.
NC DEPARTMENT OF PUBLIC INSTRUCTION FIRST GRADE 14
Task 12
80 – 30 = ___ Solve the problem.
Show your thinking with pictures numbers, and/or words.
NUMBER AND OPERATIONS IN BASE TEN
Use place value understanding and properties of operations to add and subtract.
1.NBT.6 Subtract multiples of 10 in the range of 10-90 from multiples of 10 in the range of 10-90, using concrete models or
drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction;
relate the strategy to a written method and explain the reasoning use.
NC DEPARTMENT OF PUBLIC INSTRUCTION FIRST GRADE 15
Task 13
Part A:
Three students each have a pencil. Look at the 3 pencils. List them in
order from shortest to longest.
Tom
Sara
Peter
_________________, __________________, __________________
Part B:
Circle the crayon that is longer.
How do you know which crayon is longer?
MEASUREMENT AND DATA
Measure lengths indirectly and by iterating length units.
1.MD.1 Order three objects by length; compare the lengths of two objects indirectly using a third object.
1.MD.2 Express the length of an object as a whole number of length units, by laying multiple copies of a shorter object end to end;
Understand that the length measurement of an object is the number of same-size length units that span it with no gaps or overlaps.
B
A
B
NC DEPARTMENT OF PUBLIC INSTRUCTION FIRST GRADE 16
Task 14
Part A: You and three friends want to plant a garden. Show two
different ways you could partition each garden equally into
fourths.
Garden 1 Garden 2
Part B:
How would you describe the shaded part of the circle.
GEOMETRY
Reason with shapes and their attributes.
1.G.3 Partition circles and rectangles into 2 and 4 equal shares, describing the shares using the words halves, fourths, and quarters,
and use the phrases half of, fourth of, and quarter of. Describe the whole as two of, or four of the shares. Understand for these
examples that decomposing into more equal shares creates smaller shares.
NC DEPARTMENT OF PUBLIC INSTRUCTION FIRST GRADE 17
First Grade Summative Assessment
Summary for Conference & Instructional Planning
OPERATIONS AND ALGEBRAIC THINKING
Task Standard Proficiency in Performance &
Understanding
Comments Level
1
1.OA.1
1.OA.6 Compare/Bigger
Unknown
Accurately uses pictures,
number or words and writes the
correct equation to represent
and/or solve the problem.
1 2 3
2
1.OA.1
1.OA.6 Compare/Smaller
Unknown
Accurately uses pictures,
number or words and writes the
correct equation to represent
and/or solve the problem.
1 2 3
3
1.OA.2 Three Addends
Represents and solves problems
involving addition and
subtraction
1 2 3
4
1.OA.5
1.OA.8
Accurately identifies the
unknown for equations
1 2 3
5
1.OA.3
1.OA.4
1.OA.5
Understand and apply properties
of operations and explain the
reasoning with pictures,
numbers, or words.
1 2 3
6 1.OA.7 Accurately determines if
equations involving addition
and subtraction are true or false
1 2 3
Operations and Algebraic Thinking Summary for Conferences & Instructional Planning:
NC DEPARTMENT OF PUBLIC INSTRUCTION FIRST GRADE 18
NUMBER AND OPERATIONS IN BASE TEN
Task Standard Proficiency in Performance &
Understanding
Comments Level
6 1.NBT.4
1.NBT.6
Accurately uses pictures, number
or words and writes the correct
equation to represent and/or
solve the problem.
1 2 3
7 1.NBT.1 Extends the counting sequence
1 2 3
8 1.NBT.2 Understands place value
1 2 3
9 1.NBT.3 Understands the meaning of <, =,
>
1 2 3
10 1.NBT.4 Uses place value understanding
and properties of operations to
add
1 2 3
11 1.NBT.5 Solves equations mentally
1 2 3
12 1.NBT.6 Uses place value understanding
and properties of operations to
subtract multiples of ten
1 2 3
Number and Operations in Base Ten Summary for Conferences & Instructional Planning:
NC DEPARTMENT OF PUBLIC INSTRUCTION FIRST GRADE 19
MEASUREMENT AND DATA
Task Standard Proficiency in Performance &
Understanding
Comments Level
13 1.MD.1
1.MD.2 Measure lengths indirectly and
by iterating length units
1 2 3
Measurement and Data Summary for Conferences & Instructional Planning:
GEOMETRY
Task Standard Proficiency in Performance &
Understanding
Comments Level
14 1.G.3 Reason with shapes and their
attributes
1 2 3
Geometry Summary for Conferences & Instructional Planning: