, EC- 6 PRACTICE QUESTIONS: A DE-
TAILED COMPILATION OF LANGUAGE
ARTS, MATHEMATICS, SCIENCE, ENG-
LISH AND SOCIAL STUDIES STRATEGIES
FOR EC-6 LEARNERS
EC-6 Mathematics (802)
Teaching math to ELLs - ANSScaffold the assessment to the level of conceptual compre-
hension-concrete, semi-abstract, abstract- to assess each student's ability and knowledge
of the concept.
Teachers should use strategies such as small group instruction, manipulatives to build
conceptual understanding, building vocab, visual representations of structures, and ques-
tioning to scaffold instruction.
Area models - ANSFractions as part of a unit or region.
Set models - ANSFractions as parts of collections of objects.
Length models - ANSFractions on a number line.
Vertical line test - ANSA visual way to determine if a relation is a graph of a function or not.
A relation is a function if there are no vertical lines that intersect the graph at more than
one point.
Horizontal line test - ANSUsed to determine if a function has an inverse function. If a hori-
zontal line intersects a function's graph more than once, then the function is not one-to-
one.
Boiling point of water - ANS100 C or 212 F
Freezing point of water - ANS0 C or 32 F
Geometric representation - ANSThe way in which shapes are represented. Often refer to
the image of a shape or a graph as a graphic representation. Students are given diagrams
and/or pictures of figures as part of the math problem. These help students make sense of
the problem and give info to connect concepts.
Symbolic representation - ANSStudents understand and use the symbols for geometric fig-
ures.
Ex: a picture of a triangle instead of using the word "triangle"
Students are given a net to fold and explore shapes composed of 3D figures. How do the
nets help students classify 3D figures? - ANSThe net is a manipulative that allows the stu-
dents to hold and touch the figures.
,They allow students to see the figure decomposed and be able to label the faces, edges,
and vertices.
Classifying Polygons - ANSConsider all three characteristics:
1. Concave or convex
2. Equilateral, equiangular, regular, or irregular
3. Number of sides and number of angles
Symmetry - ANSAn attribute which IDs if a figure can be divided into 2 mirror images.
Polygons - ANSA closed figure, all straight lines, and no intersecting lines. The point
where the sides meet form an angle.
Congruency - ANSIDs if two or more shapes are the same size and same shape.
Scatter plot - ANSTwo-dimensional data visualization that uses dots to represent the val-
ues obtained for two different variables - one plotted along the x-axis and the other plotted
along the y-axis.
An activity asks students to sort and classify candies by color and the number of candies
per color. Students then make a chart and a graph to show the number of each color in
their packages. What TEKs does this activity support? - ANSCollect, sort, and organize
data in up to 3 categories using models/
representations such as tally marks or T-charts.
Finding interest - ANS1. Find the total amount invested. Payment amount * Number of
payments= Total amount invested.
2. Subtract the principal from the total amount invested, which gives the total amount of in-
terest.
Calculate monthly payments - ANSMultiply the amount borrowed by the annual interest
rate. Then divide by the number of payments per year.
Written sentences - ANSA word or group of words. Not typically referred to in math as
such; rather, they are referred to as numeric expressions, equations, etc. Not considered
an acceptable form on mathematical representation.
Four cultures that have had the most mathematical impacts that are still relevant today -
ANSAncient Greece
Babylonia
India
Ancient Egypt
Histogram - ANSA graphic representation of data--normally a bar graph or a graph with
pictures. Has observed values on the horizontal axis and frequencies on the vertical axis
Venn Diagram - ANSA diagram that uses circles to display elements of different sets.
Overlapping circles show common elements.
Economics - ANSThe social science that studies the production, distribution, and con-
sumption of goods and services.
, Summative Assessment - ANSAssessment data collected after instruction to evaluate a
student's mastery of the curriculum objectives and a teacher's effectiveness at instructional
delivery.
Should be used once the concepts are believed to be understood by the students and not
in the initial learning process because these assessments contain formal grades.
Formative Assessment - ANSAssessment used throughout teaching of a lesson and/or
unit to gauge students' understanding and inform and guide teaching.
Might be in the form of a quiz that is marked for corrections, but does not have a grade
placed on it. An excellent method for a teacher to determine what concepts are difficult for
students.
Amortization schedule - ANSA complete table of periodic loan payments, showing the
amount of principal and the amount of interest that comprise each payment until the loan is
paid off at the end of its term.
Attribute blocks - ANSMath manipulatives that have four different features. These are
shape, color, size and thickness. They are a good introduction to logical thinking for young
learners. They learn color and shape concepts by sorting blocks.
Find a missing angle of a triangle - ANSAll angles of a triangle have a sum of 180. Congru-
ent angles also equal to 180. Subtract known angle values from 180 to find missing angle
values.
Find distance when given time and rate - ANSMultiply velocity by the time, i.e. d=rt
d=distance r=velocity t=time
To arrive at an estimate of total distance run over a period of time, multiply the average ve-
locity during the time period by the length of the interval. Then add the distance covered
during each interval.
diameter - ANSThe distance across a circle through its center.
circumference - ANSThe distance around a circle. Find this measurement with the formula
C=2πr
Surface area - ANSThe squared dimensions of the exterior surface. Find this measure-
ment by multiplying circumference and height.
Radius - ANSThe distance from the center of a circle to any point on the circle. Find the
measurement by dividing the diameter by 2.
kilometer - ANS1000 meters
Square mile - ANS640 acres, 2.6 square km
calculate equivalent to km through equation:
TAILED COMPILATION OF LANGUAGE
ARTS, MATHEMATICS, SCIENCE, ENG-
LISH AND SOCIAL STUDIES STRATEGIES
FOR EC-6 LEARNERS
EC-6 Mathematics (802)
Teaching math to ELLs - ANSScaffold the assessment to the level of conceptual compre-
hension-concrete, semi-abstract, abstract- to assess each student's ability and knowledge
of the concept.
Teachers should use strategies such as small group instruction, manipulatives to build
conceptual understanding, building vocab, visual representations of structures, and ques-
tioning to scaffold instruction.
Area models - ANSFractions as part of a unit or region.
Set models - ANSFractions as parts of collections of objects.
Length models - ANSFractions on a number line.
Vertical line test - ANSA visual way to determine if a relation is a graph of a function or not.
A relation is a function if there are no vertical lines that intersect the graph at more than
one point.
Horizontal line test - ANSUsed to determine if a function has an inverse function. If a hori-
zontal line intersects a function's graph more than once, then the function is not one-to-
one.
Boiling point of water - ANS100 C or 212 F
Freezing point of water - ANS0 C or 32 F
Geometric representation - ANSThe way in which shapes are represented. Often refer to
the image of a shape or a graph as a graphic representation. Students are given diagrams
and/or pictures of figures as part of the math problem. These help students make sense of
the problem and give info to connect concepts.
Symbolic representation - ANSStudents understand and use the symbols for geometric fig-
ures.
Ex: a picture of a triangle instead of using the word "triangle"
Students are given a net to fold and explore shapes composed of 3D figures. How do the
nets help students classify 3D figures? - ANSThe net is a manipulative that allows the stu-
dents to hold and touch the figures.
,They allow students to see the figure decomposed and be able to label the faces, edges,
and vertices.
Classifying Polygons - ANSConsider all three characteristics:
1. Concave or convex
2. Equilateral, equiangular, regular, or irregular
3. Number of sides and number of angles
Symmetry - ANSAn attribute which IDs if a figure can be divided into 2 mirror images.
Polygons - ANSA closed figure, all straight lines, and no intersecting lines. The point
where the sides meet form an angle.
Congruency - ANSIDs if two or more shapes are the same size and same shape.
Scatter plot - ANSTwo-dimensional data visualization that uses dots to represent the val-
ues obtained for two different variables - one plotted along the x-axis and the other plotted
along the y-axis.
An activity asks students to sort and classify candies by color and the number of candies
per color. Students then make a chart and a graph to show the number of each color in
their packages. What TEKs does this activity support? - ANSCollect, sort, and organize
data in up to 3 categories using models/
representations such as tally marks or T-charts.
Finding interest - ANS1. Find the total amount invested. Payment amount * Number of
payments= Total amount invested.
2. Subtract the principal from the total amount invested, which gives the total amount of in-
terest.
Calculate monthly payments - ANSMultiply the amount borrowed by the annual interest
rate. Then divide by the number of payments per year.
Written sentences - ANSA word or group of words. Not typically referred to in math as
such; rather, they are referred to as numeric expressions, equations, etc. Not considered
an acceptable form on mathematical representation.
Four cultures that have had the most mathematical impacts that are still relevant today -
ANSAncient Greece
Babylonia
India
Ancient Egypt
Histogram - ANSA graphic representation of data--normally a bar graph or a graph with
pictures. Has observed values on the horizontal axis and frequencies on the vertical axis
Venn Diagram - ANSA diagram that uses circles to display elements of different sets.
Overlapping circles show common elements.
Economics - ANSThe social science that studies the production, distribution, and con-
sumption of goods and services.
, Summative Assessment - ANSAssessment data collected after instruction to evaluate a
student's mastery of the curriculum objectives and a teacher's effectiveness at instructional
delivery.
Should be used once the concepts are believed to be understood by the students and not
in the initial learning process because these assessments contain formal grades.
Formative Assessment - ANSAssessment used throughout teaching of a lesson and/or
unit to gauge students' understanding and inform and guide teaching.
Might be in the form of a quiz that is marked for corrections, but does not have a grade
placed on it. An excellent method for a teacher to determine what concepts are difficult for
students.
Amortization schedule - ANSA complete table of periodic loan payments, showing the
amount of principal and the amount of interest that comprise each payment until the loan is
paid off at the end of its term.
Attribute blocks - ANSMath manipulatives that have four different features. These are
shape, color, size and thickness. They are a good introduction to logical thinking for young
learners. They learn color and shape concepts by sorting blocks.
Find a missing angle of a triangle - ANSAll angles of a triangle have a sum of 180. Congru-
ent angles also equal to 180. Subtract known angle values from 180 to find missing angle
values.
Find distance when given time and rate - ANSMultiply velocity by the time, i.e. d=rt
d=distance r=velocity t=time
To arrive at an estimate of total distance run over a period of time, multiply the average ve-
locity during the time period by the length of the interval. Then add the distance covered
during each interval.
diameter - ANSThe distance across a circle through its center.
circumference - ANSThe distance around a circle. Find this measurement with the formula
C=2πr
Surface area - ANSThe squared dimensions of the exterior surface. Find this measure-
ment by multiplying circumference and height.
Radius - ANSThe distance from the center of a circle to any point on the circle. Find the
measurement by dividing the diameter by 2.
kilometer - ANS1000 meters
Square mile - ANS640 acres, 2.6 square km
calculate equivalent to km through equation:
