# Study sets matching "elementary math mathematics"

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Math Fluency components

Reasoning

Three types of math reasoning

Inductive

Accuracy, Automaticity, Rate, Flexibility

students' ability to hypothesis, test their theories, and draw…

Inductive, deductive, adaptive

Reasoning in which conclusions are based on observation

Math Fluency components

Accuracy, Automaticity, Rate, Flexibility

Reasoning

students' ability to hypothesis, test their theories, and draw…

Speed

Least common multiple

Greatest common factor

Additive inverse

Distance ÷ time

The smallest shared multiple of any two integers

The largest number that is a common divisor of a given set of…

The additive inverse of a number a is the number that, when ad…

Speed

Distance ÷ time

Least common multiple

The smallest shared multiple of any two integers

Math Fluency components

Reasoning

Three types of math reasoning

Inductive

Accuracy, Automaticity, Rate, Flexibility

students' ability to hypothesis, test their theories, and draw…

Inductive, deductive, adaptive

Reasoning in which conclusions are based on observation

Math Fluency components

Accuracy, Automaticity, Rate, Flexibility

Reasoning

students' ability to hypothesis, test their theories, and draw…

prime number

composite number

factors

multiples

can be divided only by 1 and itself

can be divided by 1, itself and other numbers

numbers that when multiplied together produce a given number

the products of given factors

prime number

can be divided only by 1 and itself

composite number

can be divided by 1, itself and other numbers

acute triangle

objective assessment

alternative assessment

authentic assessment

A triangle in which all three angles measure less 90 degrees.

refers to testing that requires the selection of one item from…

refers to the other (no traditional) options used to assess st…

is a form of alternative assessment that incorporates real-lif…

acute triangle

A triangle in which all three angles measure less 90 degrees.

objective assessment

refers to testing that requires the selection of one item from…

Three types of assets

accomodation

Modification

Concrete, Semi-Concrete, Abstract Seque…

Personal assets... Cultural assets... Community assets

Response to the needs of the environment or the learner, does…

Changes the task, making it more accessible to the student. Le…

Sequence that moves from instructional focus on Crete represen…

Three types of assets

Personal assets... Cultural assets... Community assets

accomodation

Response to the needs of the environment or the learner, does…

Linear Measurement

Area Measurement

Area

Volume

The distance between two objects, a straight-line measurement…

A square unit equals unit square.

The number of square units required to cover a surface.

Amount of space occupied by an object or fluid.

Linear Measurement

The distance between two objects, a straight-line measurement…

Area Measurement

A square unit equals unit square.

Place Value

Closure

Commutative property

Associative property

expanding a number by powers of ten... ex. 456=4

**10^2+5**10+6*1If you add (multiply) two numbers of a set then the sum (produ…

changes the order of the numbers... ex. 3+4=4+3

changes the groups (what is inside the parenthesis)... ex 3+(4+5)…

Place Value

expanding a number by powers of ten... ex. 456=4

**10^2+5**10+6*1Closure

If you add (multiply) two numbers of a set then the sum (produ…

NCTM

Common Core Standards

Math Practice Standards (Common Core St…

Content Standards (Common Core Standard…

National Council of Teachers of Mathematics

1. Math Practice Standards... 2. Content Standards

How the students learn

What the students learn

NCTM

National Council of Teachers of Mathematics

Common Core Standards

1. Math Practice Standards... 2. Content Standards

Math Fluency components

Reasoning

Three types of math reasoning

Inductive

Accuracy, Automaticity, Rate, Flexibility

students' ability to hypothesis, test their theories, and draw…

Inductive, deductive, adaptive

Reasoning in which conclusions are based on observation

Math Fluency components

Accuracy, Automaticity, Rate, Flexibility

Reasoning

students' ability to hypothesis, test their theories, and draw…

Parallelogram

Quadrilateral

Rhombus

Polygon

A quadrilateral that has both pairs of opposite sides parallel.

A four-sided polygon.

A parallelogram in which all the sides are the same length. Ha…

A closed figure formed by three or more line segments.

Parallelogram

A quadrilateral that has both pairs of opposite sides parallel.

Quadrilateral

A four-sided polygon.

median

center of data

mean or average

outlier

is the midpoint value of a data set, where the values are arra…

is a single number that summarizes the entire data set. It is…

is the sum of the numbers in a data set divided by the total n…

An outlier is a value that is much larger or smaller than the…

median

is the midpoint value of a data set, where the values are arra…

center of data

is a single number that summarizes the entire data set. It is…

Parallelogram

Quadrilateral

Rhombus

Polygon

A quadrilateral that has both pairs of opposite sides parallel.

A four-sided polygon.

A parallelogram in which all the sides are the same length. Ha…

A closed figure formed by three or more line segments.

Parallelogram

A quadrilateral that has both pairs of opposite sides parallel.

Quadrilateral

A four-sided polygon.

Teaching for problem solving

Teaching about problem solving

Teaching Through problem solving

Productive Talk moves

Teaching a skill so students can later solve a problem. I.e.:…

How to problem solve. I.e. Draw a picture

Learn through real contexts, problems, situations, and models.

Revoicing... Rephrasing... Reasoning... Elaborating... Waiting

Teaching for problem solving

Teaching a skill so students can later solve a problem. I.e.:…

Teaching about problem solving

How to problem solve. I.e. Draw a picture

A teacher should make good use of calcu…

Pedagogical content knowledge (PCK)

What are two appropriate uses for a cal…

A teacher is explaining the process of…

To perform basic computations such as 7x3 when computation ski…

is the intersection of mathematics content knowledge with the…

Calculators can be used to explore patterns and basic facts.…

Calculator

A teacher should make good use of calcu…

To perform basic computations such as 7x3 when computation ski…

Pedagogical content knowledge (PCK)

is the intersection of mathematics content knowledge with the…

Math Fluency components

Reasoning

Three types of math reasoning

Inductive

Accuracy, Automaticity, Rate, Flexibility

students' ability to hypothesis, test their theories, and draw…

Inductive, deductive, adaptive

Reasoning in which conclusions are based on observation

Math Fluency components

Accuracy, Automaticity, Rate, Flexibility

Reasoning

students' ability to hypothesis, test their theories, and draw…

reasoning and proof

What is NCTM

What are the six principles

Principles and Standards for School Sch…

high level ... develop and evaluate

National Council of Teachers of Mathematics

Equity, Curriculum, Teaching, Learning, Assessment, Technology

Problem Solving, Reasoning and Proof, Communications, Connecti…

reasoning and proof

high level ... develop and evaluate

What is NCTM

National Council of Teachers of Mathematics

Repeated Addition

Array Model

Fractional Part of a Quantity Model

Fundamental Counting Principle

Ex. Angela wants to buy 5 jump ropes for $3 a piece. How much…

Ex. We are trying to build a building that is 3ft by 8ft. How…

Ex. I have a pizza with 6 slices and I ate 2/3 of it. How many…

Ex. Stacy went to an ice cream shop to build an ice cream cone…

Repeated Addition

Ex. Angela wants to buy 5 jump ropes for $3 a piece. How much…

Array Model

Ex. We are trying to build a building that is 3ft by 8ft. How…

Linear Measurement

Area Measurement

Area

Volume

The distance between two objects, a straight-line measurement…

A square unit equals unit square.

The number of square units required to cover a surface.

Amount of space occupied by an object or fluid.

Linear Measurement

The distance between two objects, a straight-line measurement…

Area Measurement

A square unit equals unit square.

Triangle Congruence

3 Properties of Congruence

Side Angle Side Congruence (SAS)

Angle Side Angle Congruence (ASA)

A set of theorems stating that if particular parts of a triang…

Side Angle Side (SAS)... Angle Side Angle (ASA)... Side Side Side (S…

If two sides and the included angle of one triangle are congru…

If two angles and the included side of one triangle are congru…

Triangle Congruence

A set of theorems stating that if particular parts of a triang…

3 Properties of Congruence

Side Angle Side (SAS)... Angle Side Angle (ASA)... Side Side Side (S…

Equity Principle

Five Content Standards

Five Process Standards

Strategies for promoting discource (RRR…

All students must have the opportunity and adequate support to…

Numbers and Operation... Algebra... Geometry... Measurement... Data Analys…

Problem Solving... Reasoning and Proof... Communicate... Connections... Re…

Revoicing-repeat what is said... Rephrasing-get students to use o…

Equity Principle

All students must have the opportunity and adequate support to…

Five Content Standards

Numbers and Operation... Algebra... Geometry... Measurement... Data Analys…

Addition

Subtraction

Multiply

Divide

bringing two or more numbers (or things) together to make a ne…

taking one number away from another.

The basic idea of multiplying is repeated addition.

To divide is to split into equal parts or groups. It is "fair…

Addition

bringing two or more numbers (or things) together to make a ne…

Subtraction

taking one number away from another.