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

Criterion- Reference Assessment

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

Fraction bars or fraction circles

Deriving a mathematical model to make a prediction is which level of thinking of Webb's Depth of Knowledge?

Extended thinking and complex reasoning

Assessment Choice: Projects with manipulatives

Skill or concept: Geometry concepts

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/ NUMBER OF GROUPS UNKNOWN

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

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

Webb's Depth of Knowledge has 4 DOKS:

What's the difference between collaborative and cooperative learning?

Cooperative learning is more structured than collaborative learning.

Req reasoning, planning, thinking over an ext. period of time. High cog demand. Make prediction, connection, relate idea

Webb DK: DOK4: Extended Thinking

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

Four types of addition and subtraction problems: join, separate, part- part- whole, compare.

Understanding Addition and Subtraction

What is a learning progression?

concepts and procedural steps in math that occur over time

Which of the following concepts is recommended to be taught 1 in development of fractional understanding for students

representing fractions with area models

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

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

Skill or Concept: Real-world problems

Assessment Choice: Written report; oral report; explain to another student; teach the class; create visual; observation

Skill or Concept: Procedure for solution

solve a mathematical problem using standard notation in:

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

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Math K-6 Competency 1

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

Math K-6 Competency 1 Flashcards | StudBud