Math K-6 Competency 1

There are 5 cars. There are 3 on a yellow garage. How many more cars are on the purple garage? 3+?=5

Assessment Choice: Oral report; Venn diagram; multiple methods; calendar math

A student can count out a small group of objects and understands that counting leads to how many.

Used to teach...Place value, operations

If 18 apples are arranged into 3 equal rows, how many apples will be in each row?

Concrete uses tiling, base ten blocks

Models: (Concrete, Pictorial, Mental Images, Language)>>Symbols

_____in elemen math relate to the speed and _____ of which the student can answer a basic math fact. is a 4 step process

CRA stands for concrete, representation, abstract

method not limit to trad tests used to help measure the extent of a student's acad accomplish, strengths, and weaknesses

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

solve a mathematical problem using standard notation in:

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?

Representation use pictures, graphics and charts

Jon had two books. Kevin gave him 4 more books. How many books does Jon have now? 2 + 4 =?

A student verbally counts, but not necessarily in order.

A rectangle has area 18 square centimeters. If one side is 6 cm long, how long is a side next to it?

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.

Borrowing pieces of one number to compensate for another to make it easier to solve.

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

There are 3 bags with 6 plums in each bag. How many plums are there in all? 3 x 6 = ?

A student can count a small group of objects accurately.

"9 by 8 covers 72 spaces."

Working toward quick recall of a math fact. Students who are fluent in math can respond to an answer at a quick rate.

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?

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

assessment other than a standard paper-and-pencil test. Ex. performance assessment, observation, a recitation, project

Equal Groups, Multiples (skip counting), Array (area), Multiplicative Comparison, Combinations (cartesian products)

Abstract just knowing the math problem. (2 x 5 is 10)

A 3rd teacher using modeling to teach mult. Here we have 3 sets with 4 in each set. How many do we have altogether?

The count of objects in the subset as it relates to the defined whole. Whatever value is determined as one set.

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

Learning progressions: how a student moves from a simple understanding of a concept or skill to more complex...

Assessment Choice: Portfolio from an activity menu

Assessment Choice: Paper-and-pencil traditional test; competition; checklist and observation

Flexible Grouping: Groups change from day to day and even within a class period.

Used to Teach...Fraction concepts, area and perimeter, ratio and proportions

helps students visualize parts of the whole.

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

Used to Teach...Area and perimeter, probability

refers to cognitive demand of tasks associated with a specific benchmark; can be low, mod, or high depend on what is req

Math's fluency components are rate, accuracy, automaticity and flexibility.

Tiered Ability Grouping is...

The ability to process info without getting stuck on low-level details is an example of which component of math fluency?

"Three rows of three makes nine."

Used to teach...Solving equations, simplifying expressions

Taking large numbers and splitting them into small, manageable units.

Help make sense of facts that might be hard to memorize. Students decompose one of the addends to make a 10 from other

A fourth-grade teacher wishes to assess her students' fluency with multiplication facts.

Assessment Choice: Projects with manipulatives

Select the least appropriate manipulative for fraction concepts.

"4 jumps of three lands on 12."

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.

A ______________ is more student-directed

Used to Teach...Surface area and volume, nets

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

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

Student ability to quickly identify a number of items in a small group without having to count them...

A rubber band is 6 cm long. How long will the rubber band be when it is stretched to be 3 times as long?

Range of formal and informal assess or checks by the teacher bef, dur, after the learn. proc. in order o modify instruc

The NAEP is an exam for data purposes only to compare students’ reading scores across the U.S. Student vs Population

Key words: identify, recall, recognize, use, measure, facts, definitions, procedures, applying a formula.

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

Equal Groups, Repeated subtraction, Arrays (area), Multiplicative comparison, Combinations, Division with remienders

Exploring efficient strategies for finding the correct answer. They can give a correct answer as an automatic response.

_______________are methods in which students invent ways to solve complex problems.

Used to teach... Area and perimeter, fractions, transformations

Choosing and explaining different strategies for arriving at a correct answer. Relates to student’s deep understanding

______________is repeatedly performing the same process by using the result, or output,...

Used to teach...Probability, ratio and proportion

Darrell has seven pairs of socks. Three pair are blue, and the rest are white. How many pairs of socks are white?

Memorizing multiplication facts in third grade is which level of thinking of Webb's Depth of Knowledge?

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

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

shows that there is always another fraction to be found between any two numbers. The unit of distance or length.

Ex. "Two groups of three is six."

Petra has three fewer fish than Deana. Deana has eight fish. How many fish does Petra have? ?+3 = 8

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

Used to Teach...Volume and surface area, addition fact families, multiplication fact families

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

Specific method of computation that is conventionally taught for solving particular mathematical problem.

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?

A teacher gives a unit exam to measure outcomes and the effectiveness of instructional strategies.

is your sense of what numbers mean. Ex. 2×3=6

Before starting a science unit, a teacher gives a quick assessment to determine students’ prior knowledge of concepts.

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

4th grade teacher wanted to use an alternative assess method following her students' study of Seminoles in FL in 1700's

data that used to determine where a student is in relation to a skill or topic; to make adjustments; ongoing process.

Students are at a pictorial level in terms of development. What is an ex. of something students might be using in class

Solving problems using a correct method and arriving at the correct answer.

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

A teacher is checking on students as they work, intervening when necessary, uses this data to make instruc. decisions.

Compacting: Groups of students who can skip steps and move quickly because they have advanced math fluency.

Interest Grouping: Groups of students based on student interest.

________is a geometric visual that uses patterns with no gaps to assist a student in calculating a value, such as area.