3rd MCA III Quick Sheets Dec 2010.notebook
December 08, 2010
3rd Grade Quick Sheet
State Test Specification information. The primary purpose of test specifications is to help test developers build a test that is consistent over time. The MCA­III DRAFT Test Specifications for Mathematics, Grades 3–8 are also meant to serve as a source of information about the test design for teachers and the general public. Test specifications do not indicate what should be taught; the Minnesota academic standards do. Test specifications do not indicate how students should be taught; the classroom teacher does. Test specifications indicate which strands, standards and benchmarks will be assessed on the test and in what proportions. In addition, test specifications provide the types of items to be included, number of items and distribution of cognitive levels. Test specifications also clarify, define and/or limit how test items will be written.
The purpose of the MCA­III Quick Sheet is to give teachers a quick glimpse of the above information.
Each strand page outlines what is expected of all students at each grade level. Possible teaching strategies have been included with each strand to familiarize teachers with the strategies and vocabulary that is mentioned in the test spec document.
Item Samplers are included with some of the standards to show possible question types. Since the item samplers have not been created by the state it is a best education guess to the question types.
A variety of item types will be used on the Mathematics MCA­III, including multiple choice
﴾MC﴿ items and open­ended ﴾OE﴿ items. MC ­ Multiple Choice OE ­ Open Ended Response Consists of:
Type in ­ Type in numerical answer in a box, Graphing ­ Plot data to complete various mathematical displays
Drag and Drop­ Student will formulate a response using drag and drop
Hot Spot ­ Select multiple correct responses or mark locations on displays and graphics If you see the terms using common algorithms. It is a non calculator item Strands Include
Number and Operation
Algebra Geometry and Measurement
Data Analysis
Introduction
Graphing
Sample Questions
Multiple Choice
3.2.2.2
3.4.1.1
3.3.2.2
Type In
Drag and Drop
3.2.2.2
Hot Spot
3.3.1.1
Nov 10­2:31 PM
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3rd MCA III Quick Sheets Dec 2010.notebook
Hilighter
Eraser Tool
December 08, 2010
Navigating the Test
Eliminate Choices
3.1.1.5
Nov 18­1:26 PM
Tool Samples
3.3.3.1
Eliminate Choice
3.1.1.1
Highlight
Dec 3­2:07 PM
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3rd MCA III Quick Sheets Dec 2010.notebook
Navigating the Test
December 08, 2010
Calculator
3.4.1.1
Practice using calculator
http://perspective.pearsonaccess.com/perspective/appmanager/mn/educator?
_nfpb=true&_pageLabel=edu_lr_tools_page
Dec 3­1:39 PM
Click to see audio sample
3.1.2.3
Audio sample II
Dec 3­2:09 PM
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3rd MCA III Quick Sheets Dec 2010.notebook
Navigating the Test
December 08, 2010
End Section or Test Screens
Navigating the test
Nov 18­12:37 PM
Number and Operation
3rd Grade Quick Sheet
3.1.1.1­3.1.1.5 16­22 Items
3.1.1.1 Compare and represent whole numbers up to 100,000 Emphasis on Place Value, Equality
Vocabulary digits, value plot, locate point
146 + 10
3.1.1.2 Place value to describe whole numbers between 1000­100,000 ( in terms of 1­10,000) Vocabulary digits Identify a place a digit is in or the value
300+6+5 3 hundreds+6 tens+5 ones
value 123,456
equal
Write a four digit number with 4 in the 3 is in the ______ place
hundreds place, 3 in the ones, 7 in the the 3 represents what value thousands, 6 in the tens.
__,__ __ __
3.1.1.3 10,000 More/less than a 5 digit number, 1000 more/less than 4 digit number
What number is a thousand less than 4560
3.1.1.4 Round numbers to the nearest 10,000, 1000, 100, 10 Round 385 to the nearest
a. Hundred _________
b. Ten _________
3.1.1.5 Compare and order whole numbers up to 100,000
<> Symbols are not allowed
Vocabulary fewer, more
less, greater
Vocabulary estimate , round, nearest, closest
Vocabulary
least, greatest, compare, order value
Jan 11­11:41 AM
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3rd MCA III Quick Sheets Dec 2010.notebook
December 08, 2010
Possible Item Sampler­Question Types
3.1.1.1­3.1.1.5
Drag and Drop Type Question
Hot Spot
Jan 11­12:01 PM
3rd Grade Quick Sheet
Number and Operation
3.1.2.__ Cont. 8­10 Items
3.1.2.4 Real world multiplication and division problems including "How many in each group", "How many groups". Limits Factor 1­20, 1 factor must have 1 digit
Vocabulary Dividend is no greater than 100
multiply divide product
Division
There are 12 pieces of candy and each child is given
3 pieces. How many children are there?
If we share 12 candies between three children. How many candies do each child get?
3.1.2.5 Use strategies and algorithms based on knowledge of place value, equality and properties of addition and multiplication to multiply a two or three digit by a one digit number.
Vocabulary Multiply product
Limits one digit factor is 2­6
Partial Product
Standard Algorithm Mental Strategies
Commutative
35 x7 = 7x 35
1
24
x3
Distributive Property
3x(4+2) = (3x4) + (3x2)
3x6 = 12+6
18 = 18
72
Associative Property
(3x4)x5 = 3x (4x5)
12x5 = 3x20
60 = 60
http://mathsonline.wordpress.com/
Jan 11­2:19 PM
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3rd MCA III Quick Sheets Dec 2010.notebook
Number and Operation
December 08, 2010
3rd Grade Quick Sheet
3.1.2.1­3.1.2.5 8­10 Items 3.1.2.1 Add and Subtract multi­digit whole numbers, based on the knowledge of place value "Including Standard Algorithms" Must be able to perform w/o a calculator
Vocabulary
add, subtract, sum, Limits 3 whole number addends, 4 digits at most
difference, result
3.1.2.2 Add and subtract to solve real world problems. Strategies include: the relationship of addition and subtraction use of technology, and context of the problem. Limits 3 whole number addends, 4 digits at most
Addition and subtraction can be used in the same item.
Vocabulary
add, subtract, sum, difference, result
http://maine.edc.org/file.php/1/GeoGebra_Files/IntegerAddSubtract_Lv0.html
3.1.2.3 Represent Multiplication/Division facts using a variety of approaches
Limit Factors 1­12
Equal sized Groups
Repeated addition
Vocabulary Multiply Divide
Repeated Subtraction
15­5=10
10­5=5
Equal Shares
Jan 11­11:57 AM
3.1.2.1­3.1.2.5
Possible Item Sampler­Question Types
5x5
5x2
Distributive 5(5+2)
5x7
5x5+5x2
3.1.2.1
Enter site, Pick topic on the right hand side
http://mathsonline.wordpress.com/
http://www.ixl.com/math/standards/minnesota/third
http://maine.edc.org/file.php/1/GeoGebra_Files/Compare2Products30_L.html
Jan 11­3:23 PM
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3rd MCA III Quick Sheets Dec 2010.notebook
December 08, 2010
Number and Operation
3rd Grade Quick Sheet
3.1.3.1 Read and write fractions with words and symbols. Limits Denominators 2,3,4,6 and 8
Number line denominators 2 and 4
Sets contain up to 12 objects
1. Partition Skills
Vocabulary
Fraction Plot
locate point
Divide shapes up equally. Sequence for teaching partitioning 2,3,4,6,8 2. Equal Shares
What many little kids do for sharing candy and cookies.
3. Division/Partition/ Fair Share
Recognize fractions as:
Parts of a whole 3.1.3.1­3.1.3.3 4­6 items
Student must full fill three conditions:
1.Parts must be divided equally amongst students.
2.Parts must be equal.
3.Parts must exhaust the whole. Parts of a set
points on a number line
0
1/2
1/4
1/4
1/4
3/4
1/4
distances on a number line
1
1/4
3.1.3.2 Understand that the size of the fractional part is relative to the size of the whole
Limits Denominators 2,3,4,6 and 8
Sets contain up to 12 objects
Vocabulary
Fraction
.25
Extensive activity in partitioning wholes in many different ways. Use different sized objects.
Relative size vs Absolute Size (Kids think in absolute size)
.33
Avoid terms such as bigger
3.1.3.3 Order and Compare unit Fractions and fractions with like denominators by using models and an understanding of the concept of numerator and denominator. Limits Denominators 2,3,4,6 and 8
Sets contain up to 12 objects
Vocabulary
fraction equal
least greatest
http://maine.edc.org/file.php/1/GeoGebra_Files/CompRtnlNumFrac_Lv0.html
Jan 11­3:34 PM
Possible Item Sampler­Question Types
3.1.3.3
Interactive Teaching tools
http://www.geogebra.org/en/wiki/index.php/Fractions
http://maine.edc.org/file.php/1/GeoGebra_Files/FractionsSetModel_Lv0.html
Games
http://www.multiplication.com/interactive_games.htm
Jan 14­9:33 AM
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3rd MCA III Quick Sheets Dec 2010.notebook
December 08, 2010
3rd Grade Quick Sheet
Algebra
3.2.1.1 2­3 Items 3.2.1.1 Create, describe and apply single­operation input­output rules involving addition,
subtraction and multiplication to solve problems in various contexts.
Vocabulary
rule, input, output, value
Limits
At least 3 iterations of the pattern must be given
Items may require identification of 3 or fewer terms beyond what is given
3.2.1.1
Function x2
Subtract 100
http://teams.lacoe.edu/documentation/classrooms/amy/algebra/3­
4/activities/functionmachine/functionmachine3_4.html
Jan 12­9:58 AM
3rd Grade Quick Sheet
Algebra
3.2.2.1­3.2.2.2
4­5 Items
3.2.2.1 Understand how to interpret number sentences involving multiplication and division basic facts and unknowns. Create real­world situations to represent number sentences.
Limit
Variables, boxes or blanks may be used to represent unknown numbers
3+m=9
3+ =9
4x =36
Kim made 7 beaded necklaces. She used 9 plastic beads on each necklace. How many beads did Kim use in all?
Vocabulary number sentence, equation, value, represent
If there are 3 egg rolls in each order, how many orders does Ed need to buy to get 15 egg rolls?
Concepts of relational thinking
758+89= __ +756
3.2.2.2 Use multiplication and division basic facts to represent a given problem situation using a
number sentence. Use number sense and multiplication and division basic facts to find
values for the unknowns that make the number sentences true.
Limit
Variables, boxes or blanks may be used to represent unknown numbers
Vocabulary number sentence, equation, value, represent
Esperanza made 4 equal stacks of wooden blocks. How many blocks did Esperanza put in each stack if she used 12 blocks in all?
Jan 13­10:47 AM
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3rd MCA III Quick Sheets Dec 2010.notebook
December 08, 2010
Possible Item Sampler­Question Types
3.2.2.2
http://mathsonline.wordpress.com/category/growth­points­in­number/d­strategies­for­
multiplication­and­division/3­abstracting­multiplication­and­division/
http://www.bbc.co.uk/schools/ks2bitesize/maths/number/multiplication/read3.shtml
Jan 14­9:33 AM
Geometry and Measurement
3rd Grade Quick Sheet
3.3.1.1 Identify parallel and perpendicular lines in various contexts, and use them to describe
and create geometric shapes, such as right triangles, rectangles, parallelograms and
trapezoids.
3.3.1.1­3.3.1.2
2­3 Items
Vocabulary parallel, perpendicular, right, figure
Limits
When identifying shapes by the attribute of parallel or perpendicular lines, shapes are
limited to triangle, parallelogram, rectangle, rhombus, square and trapezoid
• Allowable notation: right angle symbol ﴾square in corner﴿
Are these lines parallel?
A
B
In the shapes above identify the parallel line by drawing them over the shapes.
Which shape has a pair of perpendicular lines
http://www.bbc.co.uk/schools/ks2bitesize/maths/shape_space/shapes/read1.shtml
3.3.1.2 Sketch polygons with a given number of sides or vertices ﴾corners﴿, such as pentagons,
hexagons and octagons.
Vocabulary sides, angles, vertices, figure
Limits
Allowable shapes: triangle, parallelogram, rectangle, rhombus, square, trapezoid,
pentagon, hexagon, octagon
I am a five sided figure with 5 vertices. What shape am I? How many vertices does a hexagon have?
Draw a hexagon with vertices.
Which shape has the fewest vertices
Jan 13­10:54 AM
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3rd MCA III Quick Sheets Dec 2010.notebook
Geometry and Measurement
December 08, 2010
3.3.2.1­3.3.2.3 2­3 Items
3rd Grade Quick Sheet
3.3.2.1 Use half units when measuring distances.
Not assessed on the MCA­III
3.3.2.2 Find the perimeter of a polygon by adding the lengths of the sides.
Sample Question
Vocabulary perimeter, length, width, side, figure
Limits
Polygons may have 6 sides, at most
Items may require finding the length of an unknown side given the lengths of the other
sides and the perimeter
Units are limited to inches, feet, yards, centimeters and meters
4in
6 in
3in
?
Perimeter=
What is the perimeter?
1ft
2in
4in
5m
4ft
4ft
In the above figure the Perimeter is 16 inches. Identify the length of the missing side
1ft
A rose garden at the Minnesota Zoo has a perimeter of 18 meters.
What is the width of the missing sides?
5m
3.3.2.3 Measure distances around objects.
Limits
Items may require identification of appropriate tools or procedures for measuring
distance
Vocabulary tool, ruler, yardstick, meter stick, tape measure
What tool you would use to measure the length of a table?
Ann was measuring her windows in her has, so that she could make curtains. What measurement tool did she most likely use. A Ruler B. Tape Measure
http://mathsonline.wordpress.com/category/other­domains/measurement/perimeter­area/
http://www.bgfl.org/bgfl/custom/resources_ftp/client_ftp/ks2/maths/3d/index.htm
Jan 13­11:00 AM
Geometry and Measurement
3rd Grade Quick Sheet
3.3.3.1­3.3.3.4 4­5 Items
3.3.3.1 Tell time to the minute using digital and analog clocks. Determine elapsed time to the
Vocabulary a.m., p.m.
minute.
Limits
Elapsed time must be within a two­hour span
It is now eleven o'clock. What time will it be in one hour and fifteen minutes? What time is it?
http://www.ixl.com/math/standards/minnesota/third
3.3.3.2 Know relationships among units of time.
Limits
Allowable conversions: minutes to hours, hours to minutes, hours to days, days to
hours, days to weeks, weeks to days, months to years, years to months
Items may require finding a conversion with mixed units in the answer
﴾e.g., 12 days = 1 week and 5 days﴿
How many months in a year?
Vocabulary unit
2 years is how many months? 18 days is how many weeks?
How many days in a year?
Jan 13­11:43 AM
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3rd MCA III Quick Sheets Dec 2010.notebook
December 08, 2010
3.3.3.3 Make change up to 1 dollar in several different ways, including with as few coins as
possible.
Vocabulary greatest, least, fewest, most, value
Limits
Allowable coins: penny, nickel, dime, quarter
Allowable notation: $5, $0.75, 75¢
When calculating change, the amount tendered is $10, at most
http://www.ixl.com/math/standards/minnesota/third
3.3.3.4 Use an analog thermometer to determine temperature to the nearest degree in
Fahrenheit and Celsius.
Limits
Allowable notation: 15ºF, 37ºC
Temperatures must be given in whole numbers
Vocabulary thermometer, temperature, degrees, increase, decrease
What is the temperature?
If the temperature increases by 10 degrees. What would be the temperature?
Jan 13­12:16 PM
Possible Item Sampler­Question Types
3.3.1.1
3.3.3.3
http://www.mathszone.co.uk/
Open site, Run your mouse over the word shape left bottom. All sites interactive
http://mathsonline.wordpress.com/category/other­domains/space/shapes/
http://www.apples4theteacher.com/java/counting/money.html
Jan 13­12:27 PM
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3rd MCA III Quick Sheets Dec 2010.notebook
December 08, 2010
Jan 28­11:13 AM
3rd Grade Quick Sheet
Data Analysis
3.4.1.1 Collect, display and interpret data using frequency tables, bar graphs, picture graphs
and number line plots having a variety of scales. Use appropriate titles, labels and units.
Limit
Scale increments will not exceed 5
Pictograph keys will not exceed 5
Total number on graph or chart will not exceed 500
Vocabulary pictograph, tally chart, bar graph, line plot, table, data, title, label, key, represent
Bar Graph
Picture Graph
20
15
10
The table above shows the number of Strawberries eaten by four children. How many strawberries did Ben eat?
A. 2 B. 4 C. 3 D. 5
5
Jan 13­11:00 AM
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3rd MCA III Quick Sheets Dec 2010.notebook
December 08, 2010
Possible Item Sampler­Question Types
http://www.mathszone.co.uk/
Click on handling Data
http://www.bbc.co.uk/schools/ks2bitesize/maths/data/mode_median_mean/read1.shtml
http://www.bbc.co.uk/schools/ks2bitesize/maths/data/interpreting_data/read1.shtml
Jan 14­9:34 AM
Calculator Online
http://perspective.pearsonaccess.com/perspective/appmanager/mn/educator?
_nfpb=true&_pageLabel=edu_lr_tools_page
Thatquiz.org
General Websites
http://www.teacherled.com/all­interactive­whiteboard­resources/
http://www.mathszone.co.uk/
http://mathsonline.wordpress.com/
Calculators
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3rd MCA III Quick Sheets Dec 2010.notebook
December 08, 2010
http://www.learnalberta.ca/content/mejhm/index.html?l=0
This multimedia resource includes interactive math activities, print activities, learning strategies, and videos that illustrate how math is used in everyday life. The resource addresses the following mathematics topics: Fractions; Integers; Percentages; Rate/Ratio/Proportion; Square Roots; Exponents; Patterns; Algebra; Linear Equations; Polynomials; Angles; Circles; Surface Area and Volume; Area and Perimeter; Triangles; Pythagoras; Trigonometry; Similarity and Congruence; Transformations; Shape Classification; Data Display and Graphs; Central Tendency and Distribution; and Probability.
http://www.learnalberta.ca/content//memg/index.html Glossary
Math Vocabulary on the intranet
http://staff.district196.org/i196/departments/curriculum/eframeworks.cfm
Interactive Glossary
3.1.1.1
3.3.1.2
3.2.2.1
Dec 3­2:11 PM
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Attachments
December03 0210.wmv
December03 0209.wmv