Ftce K-5 Math

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Manipulatives

Back 1

Tools used to help students internalize mathematics concepts and skills.

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Tools to help students understand mathematical abstractions and lean more conceptually

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manipulatives

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Subtize

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recognize a set without counting

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Iteration

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measure of something with non-standard units

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Range

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a set of quantities is a measure of the spread or variation of the numbers

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mean

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sum of a set of quantities divided by the total number

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mode

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most frequently occurred number

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median

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middle number

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bimodel

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data set with two modes

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frequency tables

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used to organize a set of data.

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Bar graphs

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used to compare quantities and may be made up all vertical bars/horizaontal bars. used for comparison

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line graphs

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involve lines to show how values change over time

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pictographs

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diagrams or graphs that involve pictured objects, icons, symbols

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Types of quadilaterals

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trapezoids, parallelograms, kite, rectable, rhombus, square

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quadrilaters

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have four sides

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trapazoid

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one set of sides is parallel

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parallelogram

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two sets of sides are parallel

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types of parallelograms

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rectanble, rhombus, square

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polygon

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two dimensional figure that is closed and contains at least three straight sides that meet only at corners

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number of sides of a triable

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3

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number of sides of a quadrilateral

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4

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number of sides of a pentagon

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5

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number of sides of a hexagon

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6

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number of sides of a heptagon

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7

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number of sides of aoctagon

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8

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number of sides of a nonagon

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9

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number of sides of a decagon

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10

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number of sides of a dodecagon

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12

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three dimensional figures are classified as

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polyhedrons, which faces are all polygons

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two types of polyhedras

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prisms and pyramids

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prisms

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two congruent (equal) and parallel faces

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congruants

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if all aspects are identical

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similar shapes

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if the side lengths are proportional

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dilation

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one of four geometric transformations ..similarity

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perimeter

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add lengths of all sides

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circumfrance

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distance around a circle . C=pie= 2pier

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area of a rectangle

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base x height

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area of a parallelogram

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base x height

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area of a trianble

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A=1/2 bh

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trapazoids

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area of a trapezoid can be found by breaking the trapezoid into figures to know the area then adding

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area of a circle

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A=pier^2

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volume

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measured in cubic unites. vBh

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volume of pyramid

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v = 1/3bh

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volume of a cylinader

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v= (pier^2)h

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volume of a cone

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V=1/3(pier^2)h

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ordered pair

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pair of numbers used to locate a point in a coordinate plane (x,y)

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origin

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where the x and y intersect

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quadrant

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four, counter clockwise

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the result of this type of test could help identify a students specific problem area

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diagnostic test

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the expression b^3 x b^6 is

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B^18

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what shape could not be made by combining a rectangle with a triangle

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octagon

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which of the following is the same as 6^-3

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1/216

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the form of assessment that incorporates real=life functions and applications

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authentic assessment

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rectangular array or tiling

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use of tiles to represent algebraic problems

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if the radius of a circle is cut in half, what happens to the area of the circle?

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cut in fourth

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Quadrilaterals

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have four sides

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triangle

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3 sides

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quadrilateral

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4 sides

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pentagon

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5 sides

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hexagon

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6 sides

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heptagon

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7 sides

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octagon

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8 sides

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nonagon

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9 sides

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decagon

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10 sides

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dodecagon

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12 sides

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three d figures

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polyhedrons

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simlar shapes

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if side lengths are proportional

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translation transformation

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slide

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find an area of a trapazoid

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divided into triangles

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cooperative or collaborative learning

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dividing the classroom into small groups of 2-5 students

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visualization

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can name shapes

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analysis

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able to identify properties of shapes and uses models to define, measure and observe

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informal deducation

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can regognie relationship between and among properties of shapes or classes of shapes and follow logical arguments using deducaive language (if then statements)

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think alouds

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teacher or student say s out loud what she is thinking when reading making a visual mental process

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peer tutoring

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students work in paris or small groups to master academic skills or content as well as social development

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objective assessments

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refers to testing that requires the selection of one item from a list of choices provided with the question

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alternative assessment

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non traditional such as journals, portfolios, and real life functions

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performance assessment

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requires the completion of a task, project, or investigation .. requires a response of understanding a concept

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naturalistic assessment

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involves evaluation that is based on the natural setting of the classroom

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learning progression of a concept

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1) purposes a sequence for a topic 2) informed y resaech on children cognitive development 3) used to explain why standards are sequences in a given manner 4) points out cognitive difficulties and pedagogical solutions 5) gives more details

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fluency

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involves rate, flexibility, automaticity, and accuracy

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efficiency

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students do not get cut up in too many steps or get confused with the logic

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accuracy

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involves careful recordings of computational algorithm

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flexibilty

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choosing the most appropriate answer

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rate

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involvded in tracking how many exercises done correctly

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Recalls information

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responds, remembers, absorbs, memorizes

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basic application of concepts and skills

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solves problems demonstrates use of knowledge, calculates, compiles, completes

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strategic thinking and complex reasoning

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disucsses , uncovers, argues, debates, examines, given real world situations

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extended thinking and complex reasoning

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designs, formulates, plans, takes risks, evaluates

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PEMDAS

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paratheiss, exponents, multiplication, dividion, addition, subtraction

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associative property

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ordered of pair does not affect the sum (add or multiple)

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distribuative

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a(b+c) = ab +ac and a(b-c) = ab-ac

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symbolic form a numbe

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numeral

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which is the following is the most appropriate sequence of stages for a students development of basic authomaticy

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figuring out math facts, strategies for remembering, developing speed and accuracy

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a teacher is having students demonstrate the solution process for solving real world problems involving two-digit numbers and different operations using base ten blocks. what is she assessing

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appropriate procedural understanding of computation algorithms

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positive multiple by positive

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positive

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neg x neg

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positive

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neg x pos

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neg

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negative exponents equal

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fractions

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Ateacher is conduction frequent assessments of students which are designed to estimate rates of their improvement. what is her procedure

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progress monitoring