Recall information, Skills and Concepts, Strategic Thinking and Extended Thinking.

Webb's Depth of Knowledge has 4 DOKS:

Number sense, Grouping, Array, Area and Number Line.

Mathematical Models (Multiplication)

At the end of the year students take the FSA. The state uses the scores for accountability measures. student vs criteria

Criterion- Reference Assessment

Assessment Choice: Portfolio from an activity menu

Skill or concept: Data Analysis, Statistics, and Probability

Require reasoning, planning, and a higher level of thinking. Draw conclusions, cite evidence, develop argument

Webb DK: DOK3: Strategic Thinking

Assessment Choice: Demonstrate using a model; matching solution procedures to written problems; paper-and-pencil

Skill or Concept: Real-world problems

What's the difference between collaborative and cooperative learning?

Cooperative learning is more structured than collaborative learning.

Req student to make decision about how approach problem. Collect, classify, organize & Compare data in charts/ make obs.

Webb DK: DOK2: Sills and Concepts

solve a mathematical problem using standard notation in:

exchanging, regrouping, long division long multipl, average, area, volume

Used to teach...Equivalent fractions, operations on fractions, decimals, percents

Fraction bars or fraction circles

Measuring and recording data and producing graphs of relevant variables is which level of thinking of Webb's D.K?

Basic application of skills and concepts

What is a learning progression?

concepts and procedural steps in math that occur over time

Assessment Choice: Individual projects involving fraction models or whole class projects such as Kleenex Box Building

Skill or concept: Measurement/ area to perimeter or surface area to volume

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Math K-6 Competency 1

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Questions 100

Answers

1
_____in elemen math relate to the speed and _____ of which the student can answer a basic math fact. is a 4 step process
rate, flexibility
automaticity, accuracy
accuracy, rate
fluency, accuracy
2
Recall information, Skills and Concepts, Strategic Thinking and Extended Thinking.
Webb's Depth of Knowledge has 4 DOKS:
Geometric Thinking Levels
Progress Monitoring
Learning Progressions
3
Number sense, Grouping, Array, Area and Number Line.
Math Operations
Functional Relationships
Mathematical Models (Multiplication)
Learning Progressions
4
refers to cognitive demand of tasks associated with a specific benchmark; can be low, mod, or high depend on what is req
Webb's Depth Of Knowledge
Portfolio
Cognitive complexity
Learning Progressions
5
Used to teach... Area and perimeter, fractions, transformations
Base ten blocks
Snap cubes
Algebra tiles
Geoboards
6
Jon had two books. Kevin gave him 4 more books. How many books does Jon have now? 2 + 4 =?
Add to/ RESULT UNKNOWN
Add to/ CHANGE UNKNOWN
Add to/ START UNKNOWN
Take from/ START UNKNOWN
7
A fourth-grade teacher wishes to assess her students' fluency with multiplication facts.
Paper-and-pencil group test, not timed
Oral report
Individual projects
Paper-and-pencil timed test
8
At the end of the year students take the FSA. The state uses the scores for accountability measures. student vs criteria
Formative Assessment
Criterion- Reference Assessment
Summative Assessment
Norm- Reference Assessment
9
A student verbally counts, but not necessarily in order.
Producer
Reciter
Counter
10
Assessment Choice: Portfolio from an activity menu
Skill or concept: Measurement concepts
Skill or concept: Procedure for solution
Skill or concept: Data Analysis, Statistics, and Probability
Skill or concept: Real-world problems
11
Require reasoning, planning, and a higher level of thinking. Draw conclusions, cite evidence, develop argument
Webb DK: DOK3: Strategic Thinking
Webb DK: DOK2: Skills and Concepts
Webb DK: DOK4: Extended Thinking
Webb DK: DOK1: Recalling Information
12
Borrowing pieces of one number to compensate for another to make it easier to solve.
Regrouping
Compensation
Exchanging
Partitioning
13
"Three rows of three makes nine."
Number line
Area
Number sense
Array
14
Concrete uses tiling, base ten blocks
False
True
15
Assessment Choice: Demonstrate using a model; matching solution procedures to written problems; paper-and-pencil
Skill or Concept: Data Analysis, Statistics, and Probability
Skill or Concept: Measurement concepts
Skill or Concept: Geometry concepts
Skill or Concept: Real-world problems
16
Used to teach...Place value, operations
Base ten blocks
Pattern Blocks
Fraction bars or fraction circles
Geoboards
17
A teacher gives a unit exam to measure outcomes and the effectiveness of instructional strategies.
Summative Assessment
Formative Assessment
Diagnostic Assessment
Criterion- Reference Assessment
18
Learner-centered instruction is based on _______________ theories.
conceptual
direct instruction
constructivist
objectivist
19
"4 jumps of three lands on 12."
Area
Number line
Array
Grouping
20
CRA stands for concrete, representation, abstract
True
False
21
Flexible Grouping: Groups change from day to day and even within a class period.
False
True
22
Used to teach...Solving equations, simplifying expressions
Snap cubes
Algebra tiles
Solids
Color tiles
23
"9 by 8 covers 72 spaces."
Grouping
Numer sense
Area
Array
24
What's the difference between collaborative and cooperative learning?
Coop learn involves pairs of student/ colla learn involves groups of 3or 4
Cooperative learning is more structured than collaborative learning.
colla learn, stud has specific role & coop learn stud work graded by group
Coop learn is same as math buddies and collab learning is a team approach
25
________is a geometric visual that uses patterns with no gaps to assist a student in calculating a value, such as area.
transitivity
tiling
subitize
iteration
26
6 balls were on the ground. He picked some of them. There were 3 balls still on the ground. How many balls did he take?
Take from/ START UNKNOWN
Take from/ CHANGE UNKNOWN
Take from/ RESULT UNKNOWN
Add to/ RESULT UNKNOWN
27
The NAEP is an exam for data purposes only to compare students’ reading scores across the U.S. Student vs Population
Formative Assessment
Criterion- Reference Assessment
Summative Assessment
Norm- Reference Assessment
28
Petra has three fewer fish than Deana. Deana has eight fish. How many fish does Petra have? ?+3 = 8
COMPARE/ SMALLER UNKNOWN
COMPARE/ BIGGER UNKNOWN
COMPARE/ DIFFERENCE UNKNOWN
PUT TOGETHER/ TAKE APART-TOTAL UNKNOWN
29
A ______________ is more student-directed
math workshop
collaborative learning
math center
math buddies
30
Solving problems using a correct method and arriving at the correct answer.
Flexibility
Rate
Accuracy
Automaticity
31
Req student to make decision about how approach problem. Collect, classify, organize & Compare data in charts/ make obs.
Webb DK: DOK1: Recalling Information
Webb DK: DOK4: Extended Thinking
Webb DK: DOK2: Sills and Concepts
Webb DK: DOK3: Strategic Thinking
32
A 3rd teacher using modeling to teach mult. Here we have 3 sets with 4 in each set. How many do we have altogether?
Number line
Area
Array
Grouping
33
solve a mathematical problem using standard notation in:
concrete, representation, abstract
exchanging, regrouping, long division long multipl, average, area, volume
Compacting, Interest Grouping, Flexible Grouping
rate, accuracy, automaticity, flexibility
34
A first-grader explained the following to his teacher: "I know that 7+3=10. And I know all my doubles, so I know 5+5=10.
Subitizing
Transitivity
Tiling
Iteration
35
Specific method of computation that is conventionally taught for solving particular mathematical problem.
Standard algorithm
Partitioning
Regrouping
Compensation
36
Before starting a science unit, a teacher gives a quick assessment to determine students’ prior knowledge of concepts.
Diagnostic Assessment
Criterion- Reference Assessment
Norm- Reference Assessment
Formative Assessment
37
is your sense of what numbers mean. Ex. 2×3=6
Grouping
Array
Number Sense
Area
38
Used to teach...Equivalent fractions, operations on fractions, decimals, percents
Fraction bars or fraction circles
Algebra tiles
Solids
Snap cubes
39
Working toward quick recall of a math fact. Students who are fluent in math can respond to an answer at a quick rate.
Accuracy
Rate
Flexibility
Automaticity
40
There are 3 bags with 6 plums in each bag. How many plums are there in all? 3 x 6 = ?
EQUAL GROUPS/ GROUP SIZE UNKNOWN
EQUAL GROUPS/ NUMBER OF GROUPSUNKNOWN
ARRAYS, AREA/ UNKNOWN PRODUCT
EQUAL GROUPS/ UNKNOWN PRODUCT
41
Measuring and recording data and producing graphs of relevant variables is which level of thinking of Webb's D.K?
Recall
Basic application of skills and concepts
Strategic thinking and complex reasoning
Extended thinking and complex reasoning
42
Choosing and explaining different strategies for arriving at a correct answer. Relates to student’s deep understanding
Automaticity
Accuracy
Flexibility
Rate
43
There are 5 cars. There are 3 on a yellow garage. How many more cars are on the purple garage? 3+?=5
COMPARE/ BIGGER UNKNOWN
COMPARE/ DIFFERENCE UNKNOWN
COMPARE/ SMALLER UNKNOWN
PUT TOGETHER/ TAKE APART/ ADDEND UNKNOWN
44
A student can count a small group of objects accurately.
Producer
Counter
Producer
45
What is a learning progression?
a problem-solving strategy for area and perimeter
concepts and procedural steps in math that occur over time
a scaffolding technique
a way to group students for learning
46
A student can count out a small group of objects and understands that counting leads to how many.
Reciter
Counter
Producer
47
assessment other than a standard paper-and-pencil test. Ex. performance assessment, observation, a recitation, project
Formative Assessment
Diagnostic Assessment
Summative Assessment
Alternative assessment
48
Abstract just knowing the math problem. (2 x 5 is 10)
False
True
49
Equal Groups, Multiples (skip counting), Array (area), Multiplicative Comparison, Combinations (cartesian products)
Subtraction Strategies
Addition Strategies
Multiplication Strategies
Division Strategies
50
Assessment Choice: Individual projects involving fraction models or whole class projects such as Kleenex Box Building
Skill or concept: Data Analysis, Statistics, and Probability
Skill or concept: Procedure for solution
Skill or concept: Measurement/ area to perimeter or surface area to volume
Skill or concept: Real-world problems
51
The ability to process info without getting stuck on low-level details is an example of which component of math fluency?
Rate
Automaticity
Flexibility
Accuracy
52
A rubber band is 6 cm long. How long will the rubber band be when it is stretched to be 3 times as long?
COMPARE/ GROUP SIZEUNKNOWN
COMPARE/ NUMBER OF GROUPSUNKNOWN
COMPARE/ UNKNOWN PRODUCT
MULTIPLICATIVE COMPARISON/ UNKNOWN PRODUCT
53
Interest Grouping: Groups of students based on student interest.
True
False
54
The ______________states that if A is related to B and B is related to C in that same way, then A is also related to C.
iteration
transitivity
tiling
subitize
55
Learning progressions: how a student moves from a simple understanding of a concept or skill to more complex...
False
True
56
Exploring efficient strategies for finding the correct answer. They can give a correct answer as an automatic response.
Accuracy
Rate
Automaticity
Flexibility
57
Four types of addition and subtraction problems: join, separate, part- part- whole, compare.
Understanding Addition and Subtraction
Understanding Multiplication and Division
Real- World Setting or Problem
World Problems
58
Compacting: Groups of students who can skip steps and move quickly because they have advanced math fluency.
False
True
59
shows that there is always another fraction to be found between any two numbers. The unit of distance or length.
Like denominator
Set model
Area model
Linear "Length" model
60
Used to teach...Probability, ratio and proportion
Base ten blocks
Pattern Blocks
Dice and spinners
Geoboards
61
4th grade teacher wanted to use an alternative assess method following her students' study of Seminoles in FL in 1700's
Students must construct a diorama
The teacher will conduct an informal question and answer session
Students must take an oral test
Students must take a written test
62
helps students visualize parts of the whole.
unlike denominator
linear model
area model
set model
63
Memorizing multiplication facts in third grade is which level of thinking of Webb's Depth of Knowledge?
Strategic thinking and complex reasoning
Basic application of skills and concepts
Recall
Extended thinking and complex reasoning
64
Key words: identify, recall, recognize, use, measure, facts, definitions, procedures, applying a formula.
Webb DK: DOK2 Skills and Concepts
Webb DK: DOK4 Extended Thinking
Webb DK: DOK1 Student recall information
Webb DK: DOK3 Strategic Thinking
65
Used to Teach...Surface area and volume, nets
Solids
Geoboards
Base ten blocks
Dice and spinners
66
A teacher is checking on students as they work, intervening when necessary, uses this data to make instruc. decisions.
Formative Assessment
Summative Assessment
Norm- Reference Assessment
Criterion- Reference Assessment
67
Equal Groups, Repeated subtraction, Arrays (area), Multiplicative comparison, Combinations, Division with remienders
Division Stategies
Multiplication Strategies
Subtration Strategies
Addition Strategies
68
Deriving a mathematical model to make a prediction is which level of thinking of Webb's Depth of Knowledge?
Extended thinking and complex reasoning
Strategic thinking and complex reasoning
Recall
Basic application of skills and concepts
69
Darrell has seven pairs of socks. Three pair are blue, and the rest are white. How many pairs of socks are white?
PUT TOGETHER/ TAKE APART- TOTAL UNKNOWN
PUT TOGETHER/ TAKE APART- ADDEND UNKNOWN
COMPARE/ TOTAL UNKNOWN
PUT TOGETHER/ TAKE APART- BOTH ADDENDSUNKNOWN
70
A rectangle has area 18 square centimeters. If one side is 6 cm long, how long is a side next to it?
AREA/ NUMBER OF GROUPSUNKNOWN
AREA/ UNKNOWN PRODUCT
ARRAY/ UNKNOWN PRODUCT
AREA/ GROUP SIZEUNKNOWN
71
A red hat costs $18 and a blue hat costs $6. How many times as much does the red hat cost as the blue hat?
COMPARE/ UNKNOWN PRODUCT
COMPARE/ GROUP SIZEUNKNOWN
COMPARE/ NUMBER OF GROUPS UNKNOWN
MULTIPLICATIVE COMPARISON/ GROUP SIZE UNKNOWN
72
Ex. "Two groups of three is six."
Area
Number Line
Array
Grouping
73
Students are at a pictorial level in terms of development. What is an ex. of something students might be using in class
use of real objects
formulas
drawings
vocabulary
74
Math's fluency components are rate, accuracy, automaticity and flexibility.
True
False
75
Range of formal and informal assess or checks by the teacher bef, dur, after the learn. proc. in order o modify instruc
Diagnostic Assessment
Progress Monitoring
Summative Assessments
Informal or Formative Assessment:
76
Used to Teach...Fraction concepts, area and perimeter, ratio and proportions
Algebra tiles
Pattern Blocks
Base ten blocks
Dice and spinners
77
Req reasoning, planning, thinking over an ext. period of time. High cog demand. Make prediction, connection, relate idea
Webb DK: DOK3: Strategic Thinking
Webb DK: DOK1: Recalling Information
Webb DK: DOK4: Extended Thinking
Webb DK: DOK2: Skills and Concepts
78
Representation use pictures, graphics and charts
False
True
79
Ms. Green is using a strategy that involves a “teaching point.” What strategy is Ms. Green using?
math center
collaborative learning
math workshop
math buddies
80
Assessment Choice: Oral report; Venn diagram; multiple methods; calendar math
Skill or Concept: Geometry concepts
Skill or Concept: Number theory (i.e., finding GCF or LCM)
Skill or Concept: Computation
Skill or Concept: Procedure for solution
81
Taking large numbers and splitting them into small, manageable units.
Standard algorithm
Compensation
regrouping
Partitioning
82
______________is repeatedly performing the same process by using the result, or output,...
subitize
iteration
transitivity
tiling
83
Used to Teach...Volume and surface area, addition fact families, multiplication fact families
Color tiles
Pattern Blocks
Fraction bars or fraction circles
Snap cubes
84
_______________are methods in which students invent ways to solve complex problems.
standard algorithms
Inventive strategies
creative strategies
problem solving
85
Student ability to quickly identify a number of items in a small group without having to count them...
transivity
subitize
tiling
iteration
86
Ms. Francois is teaching her students about volume. What would be a good manipulative for her to use?
capacity containers
tanagrams
centimeter cubes
abacus
87
The tube is 18 feet tall. The table is 6 feet tall. What fraction of the height of the tube is the height of the table?
MULTIPLICATIVE COMPARISON/ NUMBER OF GROUPSUNKNOWN
MULTIPLICATIVE COMPARISON/ UNKNOWN PRODUCT
MULTIPLICATIVE COMPARISON/ GROUP SIZEUNKNOWN
EQUAL GROUPS/ GROUP SIZEUNKNOWN
88
Help make sense of facts that might be hard to memorize. Students decompose one of the addends to make a 10 from other
Make 10 strategy
Standard algorithm
Partition
Inventive strategies
89
Models: (Concrete, Pictorial, Mental Images, Language)>>Symbols
Joining
Real- World Setting or Problem
Understanding Addition and Subtraction
Part- Part - Whole
90
Assessment Choice: Written report; oral report; explain to another student; teach the class; create visual; observation
Skill or Concept: Geometry concepts
Skill or Concept: Real-world problems
Skill or Concept: Number theory (i.e., finding GCF or LCM)
Skill or Concept: Procedure for solution
91
Assessment Choice: Paper-and-pencil traditional test; competition; checklist and observation
Skill or Concept: Computation
Skill or Concept: Geometry concepts
Skill or Concept: Data Analysis, Statistics, and Probability
Skill or Concept: Measurement (area to perimeter or surface area to volume)
92
Which of the following concepts is recommended to be taught 1 in development of fractional understanding for students
representing fractions with area models
using set models to show fractions
adding fractions of unlike denominators
Comparing sums of unit fractions
93
Tiered Ability Grouping is...
Compacting, Interest Grouping, Flexible Grouping
rate, accuracy, automaticity, flexibility
base ten blocks, snap cubes, geoboard
concrete, representation, abstract
94
The count of objects in the subset as it relates to the defined whole. Whatever value is determined as one set.
Area model
Mixed fraction
Set model
Linear model
95
Used to Teach...Area and perimeter, probability
Color tiles
Solids
Algebra tiles
Snap cubes
96
Select the least appropriate manipulative for fraction concepts.
Spinners
Geoboards
Pattern blocks
Color tiles
97
Assessment Choice: Projects with manipulatives
Skill or concept: Geometry concepts
Skill or concept: Procedure for solution
Skill or concept: Number theory (i.e., finding GCF or LCM)
Skill or concept: Computation
98
method not limit to trad tests used to help measure the extent of a student's acad accomplish, strengths, and weaknesses
Performance assessment:
Criterion Reference
Formative assessments
Norm- Reference
99
If 18 apples are arranged into 3 equal rows, how many apples will be in each row?
ARRAYS/ GROUP SIZE UNKNOWN
ARRAYS/ NUMBER OF GROUPSUNKNOWN
AREA/ GROUP SIZE UNKNOW
AREA/ UNKNOWN PRODUCT
100
data that used to determine where a student is in relation to a skill or topic; to make adjustments; ongoing process.
Progress monitoring
Summative Assessment
Formative Assessment
Diagnostic Assessment

Math K-6 Competency 1 Flashcards | StudBud