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Curriculum Guides |
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Curriculum Guides |
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Curriculum- "A curriculum is an operational plan for instruction that details what mathematics students need to know, how students are to achieve the identified curricular goals, what teachers are to do to help students develop their mathematical knowledge, and the context in which learning and teaching occur. In this document, the term describes what many would label as the "intended curriculum" or the "plan for curriculum.""
National Council of Teachers of Mathematics, Standards, p.1.
The Need for Standards for School Mathematics
"Historically there have been three reasons for groups to formally adopt a set of standards: (1) to ensure quality, (2) to indicate goals, and (3) to promote change. For NCTM, all three reasons are of equal importance."
National Council of Teachers of Mathematics, Standards, p.2.
Curriculum Standards
"When a set of curricular standards is specified for school mathematics, it should be understood that the standards are value judgments based on broad, coherent vision of schooling derived from several factors: societal goals, student goals, research on teaching and learning, and professional experience. Each standard starts with a statement of what mathematics the curriculum should include. This is followed by a description of the student activities associated with that mathematics and a discussion that includes instructional examples."
National Council of Teachers of Mathematics, Standards, p.7.
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Process Standards- Methods for teaching all mathematical skills. Educators should use as many
instructional practices as possible when teaching students.
(See the following pages.) Process Standards Estimation Problem Solving Communication Reasoning Connections Patterns ================================== National Content Strands 1 Patterns 2. *Numeration 3. *Measurement 4. *Geometry 5. Statistics 6. Operations and Computation *Whole Number T-CAP Scores 7. *Fraction and Decimals * T-CAP score given for this strand. The State Department of Tennessee grouped the National Content Strands into 5 Tennessee Content Stand titles. This grouping allows educators to better understand the connectivity of the Content Strands within our daily applicable context. The following outline defines the Tennessee Content Strands and lists the equivalent National Strand. |
1. Number Sense and Number Theory *Numeration *Fractions and Decimals 2. Estimation, Measurement, and Computation *Measurement *Computation and Operations 3. Patterns, Functions, and Algebraic Thinking *Patterns 4. Statistics and Probability *Statistics 5. Spatial Sense and Geometric Concepts *Geometry *National Standard Content Strand Equivalent ==================================== The following chart include: The National Standards for each strand. Recommendations for increase and decreased attention for each strand. Tennessee Mathematics Content Strands, (Draft Form) Anderson County benchmarks based on National and State Content Standards 1996 Anderson County T-CAP Scores, where applicable. Recommended minimum skills for each strand. Suggested manipulative for teaching each strand. Suggested technology for teaching each strand. |
Grades K-3Instructional Practices
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Grades 4-5Instructional Practices
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Instructional Practices- Methods for teaching all mathematical skills. Educators should use as many instructional practices as possible when teaching students. |
Instructional Practices- Methods for teaching all mathematical skills. Educators should use as many instructional practices as possible when teaching students. |
Strands
* T-CAP score given for this strand. |
Strands
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The following charts include:
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The following charts include:
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| National Standards | |
| Problem Solving | The study of mathematics should emphasize problem solving so that students can-
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| Increased Attention | |
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| Decreased Attention | |
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"Problem Solving must be the focus of school mathematics."
Mathematics as problem Solving" emphasizes the learners' use of strategies to:
Investigate and understand content.
Recognize and formulate problems.
Solve a wide variety of problems.
Generalize solutions and strategies, applying them to new problems.
Acquire confidence in their ability to use mathematics meaningfully (NCTM, 1996).
| National Standards | |
| Communication | The study of mathematics should include numerous opportunities for communication so
that students can-
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| Increased Attention | |
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| Decreased Attention | |
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| National Standards | |
| Reasoning | The study of mathematics should emphasize reasoning so that students can-
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| Increased Attention | |
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| Decreased Attention | |
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| National Standards | |
| Connections | The study of mathematics should include opportunities to make connections so that
students can-
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| Increased Attention | |
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| Decreased Attention | |
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| National Standards | |
| Patterns and Relationships | The mathematics curriculum should include the study of patterns and relationships so
that students can-
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| Increased Attention | |
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| National Standards | |
| Estimation | The study of mathematics should include estimation so students can-
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| National Standards |
Grades K-4 | Grades 5-8 | |
| In grades K-4, the mathematics
curriculum should include the study of
patterns and relationships so that students
can-
recognize, describe, extend, and create a wide variety of patterns; represent and describe mathematical relationships; explore the use of variables and open sentences to express relationships. |
In grades 5-8, the mathematics
curriculum should include the continued
development of number and number
relationships so that students can-
understand, represent, and use numbers in a variety of equivalent forms (integer, fraction, decimal percent, exponential, and scientific notation) in real-world and mathematical problems situations; develop number sense for whole numbers, fractions, decimals, integers, and rational numbers; understand and apply ratios, proportions, and percents in a wide variety of situations; investigate relationships among fractions, decimals, and percents; represent numerical relationships in one and two dimensional graphs. |
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| Patterns & Relationships |
Increased Attention | Decreased Attention | |
| Patterns recognition and description- Use of variables to express relationships |
Use of clue words to determine which operation to use- | ||
| Kindergarten | Skills | Manipulatives | Technology |
| Similarities and differences-
Read a pattern- Copy a pattern- Extend a pattern- Create a pattern- Sort and classify- Order by size- Skip Counting- |
Unifix Cubes
Dot Charts (Teacher made) Pattern Sleeves Jewels Connecting Cubes Pattern Blocks Songs Poems Calendar Rubber Stamps One-inch Blocks Peg Boards Ideas from Math Their Way |
Exploring Math Concepts
Pattern Blocks Stories and More (Give a Mouse a Cookie, The House that Jack Built, Gunnywolf) Primary Editor Plus The Children's Writing and Publishing Center Write Along | |
| Grade 1 | Skills | Manipulatives | Technology |
| Similarities and differences-
Read a pattern- Copy a pattern- Extend a pattern- Create a pattern- Sort and classify- Order by size- Skip counting- Left to right- Rhythmic patterns- Recognize patterns in everyday life, breakfast, lunch, and dinner- One to one relationships- Geometric patterns- Understanding more and less- |
Unifix Cubes
Dot chart (Teacher made) Pattern Sleeves Jewels Connecting Cubes Pattern Blocks Songs Poems Calendar Rubber Stamps One-inch Blocks Peg Boards Ideas from Math Their Way |
Exploring Math Concepts
PatternBlocks Stories and More (Give a Mouse a Cookie, The House that Jack Built, Gunnywolf) Primary Editor Plus The Children's Writing and Publishing Center Write Along | |
| Grade 2 | Skills | Manipulative | Technology |
| Copy, create, and extend patterns-
Group by color, shape, and size- Understand more and less- Understand fewer than- Skip count by: 2's, 5's, & 10's from any point- Create patterns from memory- Create number patterns- Identify odd and even numbers- Left/right- |
Pattern Blocks
Overhead Unifix Cubes Math Safari Clapping Calendar Dry Erase Boards Die Cut Machine Geoborads Calculators Ideals from Math Their Way Hundreds Boards Rubber Stamp |
Pattern Blocks
Patterns and Shapes Reflecting on Patterns Exploring Math Concepts I The Children's Writing and Publishing Center Primary Editor Plus Write Along Microsoft Works | |
| Grade 3 | Skills | Manipulatives | Technology |
| Skip counting-
Sorting and classifying- Patterns with place value- Even and odd- Number patterns- Geometric patterns- Ordinals to the 20th- Left/right- Color, size, and shape- Greater and less than < > Similarities and differences Extend a pattern |
Pattern Blocks
Overhead Unifix Cubes Math Safari Clapping Calendar Dry Erase Boards Die Cut Machine Geoborads Calculators Hundreds Boards Rubber Stamp |
Pattern Blocks
Patterns and Shapes Reflecting on Patterns Exploring Math Concepts I The Children's Writing and Publishing Center Primary Editor Plus Write Along Microsoft Works |
| National
Standards |
Grades K-4 | Grades 5-8 | |
| In grades K-4, the mathematics
curriculum should include whole number
concepts and skills so that students can:
construct number meaning through real-world experiences and the use of physical materials; understand our numeration system by relating counting, grouping, and place value concepts. develop number sense: interpret the multiple uses of numbers encountered in the real world. |
In grades 5-8, the mathematics
curriculum should include the
continued development of number and
number relationships so that students
can:
understand, represent, and use numbers in a variety of equivalent forms (integer, fraction, decimal percent, exponential, and scientific notation) in real-world and mathematical problems situations: develop number sense for whole numbers, fractions, decimals, integers, and rational numbers; understand and apply ratios, proportions, and percent in a wide variety of situations; investigate relationships among fractions, decimals, and percent; represent numerical relationships in one and two dimensional graphs. |
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| Numeration | Increased Attention | Decreased Attention | |
| Number sense
Place value concepts Meaning of fractions & decimals Estimation of quantities |
Early attention to reading, writing, and ordering numbers symbolically- | ||
| Kindergarten | Skills | Manipulatives | Technology |
| Recognition of numbers 0-20
Understanding number meaning Matching sets 1-12 More/less Create a group of sets 1-12 Identify zero, empty set Sequencing (What's next?) Rote counting 0-100 Conservation of numbers 1:1 ratio Ordinal numbers 1st-5th Even/odd numbers |
Base Ten Blocks
Workjobs Dry Erase Boards Number Line Counters Songs Poems Stories Finger Plays Number Bingo Teddy Bear Counters Unifix Cubes High-Lo Cherry-O Game |
Exploring Math Concepts
Counters and Sums Primary Editor Plus Write Along The Children's Writing and Publishing Center Exploring Base Ten Stories and More 3 Billy Goats Gruff 3 Bears | |
| Grade 1
T-CAP, 1996 |
Mastery
84% |
Partial Mastery
11% |
Non-Mastery
|
| Grade 1 | Skills | Manipulatives | Technology |
| Recognition of numbers 0-20
Write numbers 0-20 Recognition of number words 0-20 Matching sets 0-20 More/less Create sets 0-20 Identify zero, empty set Sequencing (What's next?) Rote counting 0-100 Before, after, between- 0-100 Conservation of numbers 1:1 Ratio Write Numbers 0-100 Ordinal numbers 1st-12th Even/odd numbers 0-20 Place Value Recognize place value for 1's 10's and 100's Identify place value and total value of each digit for numbers 0-99 |
Base Ten Blocks
Workjobs Dry Erase Boards Number Line Counters Songs Poems Stories Finger Plays Number Bingo Teddy Bear Counters Unifix Cubes High-Lo Cherry-O Game |
Exploring Math Concepts
Counters and Sums Primary Editor Plus Write Along The Children's Writing and Publishing Center Exploring Base Ten Stories and More | |
| Grade 2
T-CAP, 1996 |
Mastery
92% |
Partial Mastery
6% |
Non-Mastery
2% |
| Grade 2 | Skills | Manipulative | Technology |
| Read and write number words 0-100
Place Value 1's, 10's and 100's Read, write, and use ordinal numbers, 1-100 Conservation of Numbers Rounding to the nearest 10's place Understand even /odd Sequencing Write Numbers 0-999 Create a Set 0-999 Rote Counting 0-999 Expanded notation 0-999 Identify word names for 10's-90' |
Mountain Math
Math Safari Base Ten Blocks Number Line Counters Overhead, Transparencies, and Manipulatives Dry Erase Boards & Markers Hundreds Boards Place Value Boards Unit Cubes |
Mental Math
Exploring Base Ten Math Practice - Level P, I, & II Counters and Sums MECC Number Munchers | |
| Grade 3
T-CAP, 1996 |
Mastery
86% |
Partial Mastery
10% |
Non-Mastery
4% |
| Grade 3 | Skills | Manipulatives | Technology |
| Expanded Notation to 100,000
Read, write and use ordinal numbers 1st -20th Count by 2's,3's,4's, etc. Read write and use word names 0-100 Place Value to 100,000th place Rounding to nearest 10, 100, and 1000 Compare numbers up to 4 digits Understand and use even and odd numbers Create a sets using materials to 99,999 Read number words 0-9,999 |
Mountain Math
Math Safari Base Ten Blocks Number Line Counters Overhead, Transparencies, and Manipulatives Dry Erase Boards & Markers Hundreds Boards Place Value Boards Unit Cubes Trading Boards (Handout) |
Mental Math
Exploring Base Ten Math Practice - Level P, I, & II Counters and Sums MECC Number Munchers | |
| Grade 4
T-CAP, 1996 |
Mastery
65% |
Partial Mastery
25% |
Non-Mastery
10% |
| Grade 4 | Skills | Manipulatives | Technology |
| Read and write order and compare
numbers through 1 million.
Estimate and round 2,3, and 4 digit numbers to nearest ten, hundred, thousand, ten thousand and million. Identify the terms; divisor, dividend, quotient, and remainder. Recognize the value of the Roman numeral symbols: I,V,X,L,C,and M. Identify even and odd numbers through 1,000. Read, write, and use ordinals through 1,000. Identify and write expanded form through 999,999. |
Base Ten Blocks
Number Lines Place Value Boards Calculators Rubber Stamps |
Math Concepts Level 1-2-3 and 4
Exploring Base Ten Counters and Sums Mental Math Modeling Operations MECC Software Number Munchers | |
| Grade 5
T-CAP, 1996 |
Mastery
26% |
Partial Mastery
44% |
Non-Mastery
31% |
| Grade 5 | Skills | Manipulatives | Technology |
| Read and write order and compare
numbers and number words through
1 million.
Recognize, read, and write Roman numerals to 1,000. Identify and write expanded form through 1 million. Recognize prime numbers to 20. Identify place value up to 7 digits. Round 4-5 digit numbers to nearest 10, 100, and 1000. Identify common and least common multiples of two whole numbers. Identify common factors and GCF of two whole numbers less than 10. |
Base Ten Blocks
Number Lines Place Value Boards Calculators Rubber Stamps |
Math Concepts Level 1-2-3 and 4
Exploring Base Ten Counters and Sums Mental Math Modeling Operations MECC Software Number Munchers |
| National
Standards |
Grades K-4 | Grades 5-8 | |
| In grades K-4, the mathematics
curriculum should include measurement
so that students can-
understand the attributes of length, capacity, weight, area, volume, time, temperature, and angle; develop the process of measuring and concepts related to units of measurement; make and use estimates of measurement; make and use measurements in problem and everyday situations. |
In grades 5-8, the mathematics curriculum
should include extensive concrete
experiences using measurement so that
students can-
extend their understanding of the process of measurement; estimate, make and use measurements to describe and compare phenomena; select appropriate units and tools to measure to the degree of accuracy required in a particular situation; understand the structure and use of systems of measurement; develop the concepts of rates and other derived and indirect measurements; develop formulas and procedures for determining measures to solve problems. |
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| Measurement | Increased Attention | Decreased Attention | |
| Process of measuring-
Concepts related to units of measurement- Actual measuring- Estimation of measurements- Use of measurement and geometry ideas throughout the curriculum- |
Memorization of equivalencies between units of measurement- | ||
| Kindergarten | Skills | Manipulatives | Technology |
Identify and use a thermometer Identify hot, cold, warm, and cool- Measure with non-standard units- Estimate time (more time, less time) Know how many days in a week- Know how many days in a month- Know how many months in a year- Understand the following concepts; Today Tomorrow Yesterday Identify the days of the week- Read the calendar for the correct date- Understand and use the sequence of tine; Second Minute Hour Day Week Month Year Understand and use before and between- Measure with non-standard units- Identify penny and nickel- Identify the $ symbol- Measure with non-standard units- Order by size (shortest to tallest, etc.) Compare several items with one unit- Compare one item with different units- Measure with non-standard units- Measure with standard units (spoons, scoopfuls, cup, pint, quart, liter) Measure quantity- Measure with non-standard units- Weight by pound Order objects by weight Estimate and compare weights- |
Measuring Cups
Clocks (Teacher and individual) Rulers Yardstick Plastic Coins Magnetic Coins Math Their Way Measurement Materials Songs Poems Balance Scale Big Calendar Thermometer Bathroom Scale Minute Timer Egg Timer Clock Rubber Stamps Paper Clips Tape Measure Yarn Money Bingo (Teacher made) Eye Droppers (Extra large size) |
Talking Clock
Money Board Sticker Store Measure It Stories and More The Three Bears Three Billy Goats Gruff The Hare and the Tortoise Bear (A child's book about hours) | |
| Grade 1
T-CAP |
Mastery
76% |
Partial Mastery
19% |
Non-Mastery
6% |
| Grade 1 | Skills | Manipulatives | Technology |
Identify and use a thermometer Identify hot, cold, warm, and cool- Tell time to the hour and half hour on an analog and digital clock- Write time to the hour and half hour- Identify parts of an analog clock- Match written time to time on a clock- Celebrate 100 days of school- Measure with non-standard units- Identify penny, nickel, dime, quarter and their value- Identify same amounts using different coins- Use fewer coins to show price- Use more coins to show price- Identify the $ symbol- Measure with non-standard units- Measure length and height in inches- Measure length and height in centimeters- Measure length, width, and height and make comparisons- Measure with non-standard units- Identify cup, pint, quart, and liter- Measure with non-standard units- Weight by pound Order objects by weight Estimate and compare weights- |
Measuring Cups
Clocks (Teacher and individual) Rulers Yardstick Plastic Coins Magnetic Coins Math Their Way Measurement Materials Songs Poems Balance Scale Big Calendar Thermometer Bathroom Scale Minute Timer Egg Timer Clock Rubber Stamps Paper Clips Tape Measure Yarn Money Bingo (Teacher made |
Talking Clock
Money Board Sticker Store Measure It Stories and More The Three Bears Three Billy Goats Gruff The Hare and the Tortoise Bear (A child's book about hours) | |
| Grade 2
T-CAP |
Mastery
88% |
Partial Mastery
10% |
Non-Mastery
3% |
| Grade 2 | Skills | Manipulative | Technology |
Identify the hotter/colder temperature by selecting the higher/lower column of two thermometers- Compare measurement terms- Fahrenheit and Celsius- Tell and show time to 5 minute intervals on digital and analog clocks- A.M. and P.M. Estimate time- Analyze the calendar Tell, show, and write given times- Identify coins: penny, nickel, dime, quarter, half-dollar, and dollar- Determine the value of a collection of coins in terms of cents and bills- Add and subtract money Estimate with money Complete 1 step word problems with $ up to $10.00- Identify the $ and cent symbol- Measure with non-standard units- Measure with standard units- Inches, feet, centimeters Make and use estimates of measure- Measure length, width, and height and make comparisons- Measure with non-standard units- Identify cup, pint, quart, and gallon- Measure using metric measurements- liter- Use non-standard units- Use customary units- Pounds Kilograms Grams And metric units- Estimate weight- |
Measuring cups
Clocks - l large individual clocks Rulers Yardsticks Plastic , paper, and magnetic coins- MTW Measurement Materials- Thermometer Balance scale Big calendar Dry Erase Boards and markers- Overhead and manipulative- Measuring manipulative for length- Math Safari Food Items Songs, stories, and poems- Unifix Cubes Scales |
It's About Time
Talking Clock Sticker Store Money Board Measure It Reading for Information Measure Up Problem Solving With Money Making Sense of Money Exploring Measurement, Time, and Money The Children's Writing and Publishing Center Microsoft Works Clockworks Money Works Measure Works | |
| Grade 3
T-CAP |
Mastery
56% |
Partial Mastery
38% |
Non-Mastery
6% |
| Grade 3 | Skills | Manipulatives | Technology |
Make and use estimates of measurement- Compare Fahrenheit and Celsius- Read a thermometers- Measure with non-standard units- Indicate time up to the nearest minute intervals- Understand and use A.M. and P.M.- Analyze a calendar- Make and use estimates of measurement- Measure with standard and non-standard units- Read and write money amounts using dollar symbols, decimals, and cent and symbols- Make and use estimates of measurement- Add and subtract money problems- Complete one step word problems with values of $100.00 of less- Measure with non-standard units- Measure to the nearest inch, foot, and yard, using rulers, yardsticks- Measure with non-standard units- Measure using cups, pints, quarts, and gallons Understand and use metric, liter and milliliter- Understand and use cubic units- Make and use estimates of measurement- Compare measurement terms- Measure with non- standard units- Use customary units and metric - pounds, kilograms, grams- Estimate weight- |
Measuring cups
Clocks - l large individual clocks Rulers Yardsticks Plastic , paper, and magnetic coins- MTW Measurement Materials- Thermometer Balance scale Big calendar Dry Erase Boards and markers- Overhead and manipulatives- Measuring manipulative for length- Math Safari Food Items Songs, stories, and poems- Unifix Cubes Scales |
It's About Time
Talking Clock Sticker Store Money Board Measure It Reading for Information Measure Up Problem Solving With Money Making Sense of Money Exploring Measurement, Time, and Money The Children's Writing and Publishing Center Microsoft Works Clockworks Money Works Measure Works | |
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Grade 4 T-CAP |
Mastery
61% |
Partial Mastery
30% |
Non-Mastery
9% |
| Grade 4 | Skills | Manipulatives | Technology |
| Make and use estimates of measurement-
Indicate time to nearest minute and hour on a standard clock- Indicate temperature to nearest degree on Celsius and Fahrenheit- Measure length, weight, and liquid capacity in customary and standard measure- Make and use measurements in problems and everyday situations- Add and subtract units of time; hours and minute, elapsed time- |
Rulers
Thermometers Liquid measurement sets (Cup, gallon, etc.) Money (student and overhead) Individual clocks Overhead clock Balance scale Trundle wheel Metric mass set Graduated items for measurement Measuring tapes |
Is About Time
Talking Clock Sticker Store Money Board Measure It Reading for Information Levels 1-3 Measure Up Problem Solving With Money Making Sense of Money Exploring Measurement Time and Money The Children's Writing and Publishing Center Clockworks Money Works Measure Works | |
| Grade 5
T-CAP |
Mastery
14% |
Partial Mastery
35% |
Non-Mastery
51% |
| Grade 5 | Skills | Manipulatives | Technology |
| Make change using bills and coins-
Identify metric and customary relationships m/cm, lb/oz, kg/g, ft/in and perform conversions- Identify standard temps on thermometers - Determine area of square, rectangle, triangle using formula- Measurement to nearest millimeter or quarter inch- Identify time relationships, perform conversions between units of time- |
Rulers
Thermometers Liquid measurement sets (Cup, gallon, etc.) Money (student and overhead) Individual clocks Overhead clock Balance scale Trundle wheel Metric mass set Graduated items for measurement Measuring tapes |
Is About Time
Talking Clock Sticker Store Money Board Measure It Reading for Information Levels 1-3 Measure Up Problem Solving With Money Making Sense of Money Exploring Measurement Time and Money The Children's Writing and Publishing Center Clockworks Money Works Measure Works |
| National
Standards |
Grades K-4 | Grades 5-8 | |
| In grades K-4, the mathematics
curriculum should include two- and
three-dimensional geometry so that
students can:
describe, model, draw, and classify shapes: investigate and predict the results of combining, subdividing, and changing shapes; develop spatial sense; relate geometric ideas to number and measurement ideas; recognize and appreciate geometry in their world. |
In grades 5-8, the mathematics
curriculum should include the study of
the geometry of one, two, and three
dimensions in a variety of situations so
that students can;
identify, describe, compare, and classify geometric figures; visualize and represent geometric figures with special attention to developing spatial sense; explore transformations of geometric figures; understand and apply geometric properties and relationships; develop an appreciation of geometry as a means of describing the physical world. |
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| Geometry | Increased Attention | Decreased Attention | |
| Properties of geometric
figures
Geometric relationships Spatial sense Use geometry ideas throughout the curriculum. |
Primary focus on naming geometric figures | ||
| Kindergarten | Skills | Manipulatives | Technology |
| 2 Dimensional Shapes
Word Names for the following shapes , , , , , Explore, Congruent, symmetry, and spatial sense- Sides, corner, and angles of shapes- |
Geoboards
Attribute Blocks Puzzles Pattern, Attribute Blocks Tangrams Colored Shapes Overhead, and Overhead Shapes- |
The Children's Writing and Publishing
Center
Primary Editor Plus Write Along Math Concepts Pattern Blocks Exploring Math Concepts | |
| Grade 1
T-CAP, 1996 |
Mastery
Geometry-98% |
Partial Mastery
Geometry-2% |
Non-Mastery
Geometry- 0 |
| Grade 1 | Skills | Manipulatives | Technology |
| 2 Dimensional Shapes
Word Names for the following shapes , , , , , Explore, Congruent, symmetry, and spatial sense- Sides, corner, and angles of shapes- 3 Dimensional Shapes, Cone, shear, cube, and cylinder- |
Geoboards
Attribute Blocks Puzzles Pattern, Attribute Blocks Tangrams Colored Shapes Overhead, and Overhead Shapes- |
The Children's Writing and Publishing
Center
Primary Editor Plus Write Along Math Concepts Pattern Blocks Exploring Math Concepts | |
| Grade 2
T-CAP, 1996 |
Mastery
Geometry-94% |
Partial Mastery
Geometry- 4% |
Non-Mastery
Germetery- 1% |
| Grade 2 | Skills | Manipulative | Technology |
| Symmetry
Sides and corners of shapes- Identify 3-dimensional figures- (, , , , , ) Relate plant and solid figures |
Die Cut
Math Safari Unifix Cubes Dry Erase Boards And Markers Tiles Tangrams Attribute Blocks |
Linkway
Pattern Blocks Patterns and Shapes Reflecting on Patterns The Children's Writing and Publishing Center Primary Editor Plus Write Along Microsoft Works | |
| Grade 3
T-CAP, 1996 |
Mastery
Geometry-31% |
Partial Mastery
Geometry-23% |
Non-Mastery
Geometry-46% |
| Grade 3 | Skills | Manipulatives | Technology |
| Identify points, lines, line segments , and
rays-
Identify area, perimeter and volume- Identify cube, cone, sphere, cylinder, and rectangular solid- Identify right angles greater and less- Identify congruent figures- Symmetry- (lateral, bilateral, geometry) Identify 3-dimensional figures Sides (edges),corners, face |
Die Cut
Math Safari Unifix Cubes Dry Erase Boards And Markers Tiles Tangrams Attribute Blocks |
Linkway
Pattern Blocks Patterns and Shapes Reflecting on Patterns The Children's Writing and Publishing Center Primary Editor Plus Write Along Microsoft Works | |
| Grade 4
T-CAP, 1996 |
Mastery
Geometry-45% |
Partial Mastery
Geometry-30% |
Non-Mastery
Geometry-25% |
| Grade 4 | Skills | Manipulatives | Technology |
| Identify points, lines, rays, and line
segments-
Find perimeter of a polygon - Identify right angles and vertices- Find area of a rectangle and square- Identify obtuse angles- Identify congruent figures- Identify radius and diameter of a circle- Find the area of a geometric figure in square unit- Identify intersecting, parallel, and perpendicular lines (Vectors)- Illustrate the reflections, rotations, and translations, of geometric figures using concrete models- Identify symmetrical figures and lines of symmetry- |
Die Cut
Math Safari Unifix Cubes Dry Erase Boards And Markers Tiles Tangrams Attribute Blocks Compass (Student and teacher) Protractor (one per student) 12" ruler, standard and metric (one per student) Meter stick Geoboards |
Linkway
Pattern Blocks Patterns and Shapes Reflecting on Patterns The Children's Writing and Publishing Center Primary Editor Plus Write Along Microsoft Works | |
| Grade 5
T-CAP, 1996 |
Mastery
Geometry-32% |
Partial Mastery
Geometry-37% |
Non-Mastery
Geometry-32% |
| Grade 5 | Skills | Manipulatives | Technology |
| Draw circle, label diameter,
circumference, radius, center-
Recognize and name congruent triangles and rectangles- Determine the area of a square, rectangle using a formula- Identify acute, right, obtuse, and straight angles- Find perimeter and solve problems involving 3- and 4- sided figures - Illustrate the reflections, rotations, and translations of plane figures- Identify triangles (equilateral, isosceles, scalene) and quadrilaterals (parallelogram, rhombus, trapezoid) Determine if a given figure is symmetrical- Use spatial reasoning to develop models of cubes, cylinders, rectangles, prisms, and pyramids- |
Die Cut
Math Safari Unifix Cubes Dry Erase Boards And Markers Tiles Tangrams Attribute Blocks Compass (Student and teacher) Protractor (one per student) 12" ruler, standard and metric (one per student) Meter stick Geoboards |
Linkway
Pattern Blocks Patterns and Shapes Reflecting on Patterns The Children's Writing and Publishing Center Primary Editor Plus Write Along Microsoft Works |
| National
Standards |
Grades K-4 | Grades 5-8 | |
| In grades K-4, the mathematics
curriculum should include experiences
with data analysis and probability so that
students can-
collect, organize, and describe data; construct, read, and interpret displays of data; formulate and solve problems that involve collecting and analyzing data; explore concepts of chance. |
In grades 5-8, the mathematics
curriculum should include exploration of
statistics in real-world situations so that
students can-
systematically collect, organize, and describe data; construct, read, and interpret tables, charts, and graphs; make inferences and convincing arguments that are based on data analysis; evaluate arguments that are based on data analysis; develop an appreciation for statistical methods as powerful means for decision making. |
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| Statistics %
Probability |
Increased Attention | Decreased Attention | |
| Collection and organization of
data-
Exploration of chance |
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| Kindergarten | Skills | Manipulatives | Technology |
| Read and create simple graphs and
charts-
Collect, organize, describe, and read data- Explore probability- |
Floor Charts
Large Graphing Mat |
The Children's Writing and Publishing
Center
Primary Editor Plus Measurement Recording Tool Write Along | |
| Grade 1
T-CAP, 1996 |
Mastery
Graphs and Tables-87% |
Partial Mastery
Graphs and Tables-9% |
Non-Mastery
Graphs and Tables-4% |
| Grade 1 | Skills | Manipulatives | Technology |
| Floor Charts
Large Graphing Mat |
The Children's Writing and Publishing
Center
Primary Editor Plus Measurement Recording Tool Write Along | ||
| Grade 2
T-CAP, 1996 |
Mastery
Graphs and Tables-90% |
Partial Mastery
Graphs and Tables-7% |
Non-Mastery
Graphs and Tables- 3% |
| Grade 2 | Skills | Manipulative | Technology |
| Understand the following processes-
Collect Data Constructing Data Organizing Data Analyzing Data Understand how to read and create the following graph- Line Graph Bar Graph Pictographs After studying a graph students should- Read Data Describe Data Explore Probability |
Math Safari
Floor Chart Unifix cube Dry Erase Boards and Markers Graph Paper Transparencies Mountain Math Overhead and Manipulative |
Calu-Table
Measure It Reading for Information Measure Up Measurement Recording Tool The Children's Writing and Publishing Center Primary Editor Plus Write Along Coordinate Math Probability Lab Mecc Graph | |
| Grade 3
T-CAP, 1996 |
Mastery
Graphs and Tables-38% |
Partial Mastery
Graphs and Tables- 42% |
Non-Mastery
Graphs and Tables- 20% |
| Grade 3 | Skills | Manipulatives | Technology |
| Formulate and solve problems using
graphs-
Understand and use probability- Interpret displays of data- Understand the following processes- Collect Data Constructing Data Organizing Data Analyzing Data Understand how to read and create the following graph- Line Graph Bar Graph Pictographs After studying a graph students should- Read Data Describe Data |
Math Safari
Floor Chart Unifix cube Dry Erase Boards and Markers Graph Paper Transparencies Mountain Math Overhead and Manipulatives |
Calu-Table
Measure It Reading for Information Measure Up Measurement Recording Tool The Children's Writing and Publishing Center Primary Editor Plus Write Along Coordinate Math Probability Lab MECC Graph | |
| Grade 4
T-CAP, 1996 |
Mastery
Graphs and Tables-58% |
Partial Mastery
Graphs and Tables-22% |
Non-Mastery
Graphs and Tables-20% |
| Grade 4 | Skills | Manipulatives | Technology |
| Use charts, tables, graphs to solve
problems involving addition,
subtraction, multiplication, and
division-
Locate and plot points on a grid/ Identify ordered pairs- Interpret and construct charts, graphs, and tables and use to solve problems in addition, subtraction, multiplication, and division- Identify information needed to solve a word problem- Find the average (mean) of six, two-digit numbers- Identify information from charts, tables, and graphs- Explore proportions by reducing or enlarging drawings using grids- |
Math Safari
Floor Chart Unifix cube Dry Erase Boards and Markers Graph Paper Transparencies Mountain Math Overhead and Manipulative |
Calu-Table
Measure It Reading for Information Measure Up Measurement Recording Tool The Children's Writing and Publishing Center Primary Editor Plus Write Along Jasper Coordinate Math Probability Lab MECC Graph | |
| Grade 5
T-CAP, 1996 |
Mastery
Graphs and Tables-75% Statistics/Probability-32% |
Partial Mastery
Graphs and Tables-20% Statistics/Probability-10% |
Non-Mastery
Graphs and Tables-6% Statistics/Probability-59% |
| Grade 5 | Skills | Manipulatives | Technology |
| Predict the number of arrangements of a
given set of objects and verify the
outcome-
Solve problems using whole numbers data from charts, graphs, tables, and maps- Read, interpret picture graphs with partial figures- Read, interpret circle graphs- Determine the probability of an event occurring and use a fraction to describe the probability of a given event- Use measurement of central tendency to summarize data- (mean, mode, median, range, and averaging) Plot points on whole coordinate plane- |
Math Safari
Floor Chart Unifix cube Dry Erase Boards and Markers Graph Paper Transparencies Mountain Math Overhead and Manipulative |
Calu-Table
Measure It Reading for Information Measure Up Measurement Recording Tool The Children's Writing and Publishing Center Primary Editor Plus Write Along Jasper Coordinate Math Probability Lab MECC Graph |
| National
Standards |
Grades K-4
Operations |
Grades 5-8
Operations & Computation |
|
| In grades K-4, the mathematics
curriculum should include concepts of
addition, subtraction, multiplication, and
division of whole numbers so that
students can-
develop meaning for the operations by modeling and discussing a rich variety of problem situations; relate the mathematical language and symbolism of operations to problems situations and informal language; recognize that a wide variety of problem structures can be represented by a single operation; develop operation sense. In grades K-4, the mathematics curriculum should develop whole number computation so that students can- model, explain, and develop reasonable and proficiency with basic facts and algorithms; use a variety of mental computation and estimation techniques; use calculators in appropriate computational situations; select and use computation techniques appropriate to specific problems and determine whether the results are reasonable. |
In grades 5-8, the mathematics curriculum
should include the continued development
of number and number relationships so that
students can-
understand, represent, and use numbers in a variety of equivalent forms (integer, fraction, decimal, percent, exponential, and scientific notation) in the real-world and mathematical problem situations; develop number sense for whole numbers, fractions, decimals, integers, and rational numbers; understand and apply ratios, proportions, and percents in a wide variety of situations; investigate relationships in one and two dimensional graphs. |
||
| Operations &
Computations |
Increased Attention | Decreased Attention | |
| Meaning of operations
Operation sense Mental computations Estimation and reasonableness of answers Selection of an appropriate computation method Use of calculators for complex computation Thinking strategies for basic facts |
Complex paper and pencil
computations
Isolated treatment of paper and pencil computations Addition and subtraction without renaming Isolated treatment of division facts Long division Long division without remainders Paper and pencil fraction computation Use of rounding to estimate |
||
| Kindergarten | Skills | Manipulatives | Technology |
| Understand and use concepts and
language for add, plus, subtract,
minus, and equals-
Listen to word problems to develop concepts of operations- Combine two sets of objects, describe and record results- Determine the later of two sets of objects- Divide a set into two equal sets- Determine the value of a set when one object is added or subtracted- |
Workjobs II (red box)
Counters Junk Job Cards 2 Sided Beans Songs Stories Poems Literature Jewels Unifix Cubes |
The Children's Writing and
Publishing Center
Primary Editor Plus Write Along Stories and More Exploring Math Concepts Counters and Sums Mental Math | |
| Grade 1
T-CAP, 1996 |
Mastery
Whole Numbers- 80% |
Partial Mastery
Whole Numbers-15% |
Non-Mastery
Whole Numbers- 5% |
| Grade 1 | Skills | Manipulatives | Technology |
| Listen to word problems in an effort to
develop concepts of operations-
Use illustrations to create problems for both addition and subtraction- Count on and count back using a number line- Add 1-2 digit numbers both vertically and horizontally, without re-grouping- Add 2 digit numbers without re- grouping- (Vertically and Horizontally) Subtract 2 digit numbers without re- grouping- Add 3 numbers both vertically and horizontally- Solve problems with missing addends, 0-10. Demonstrate the understanding of the Commutative and Associative Properties. Use fact families 0-10- |
Workjobs II (red box)
Counters Junk Job Cards 2 Sided Beans Songs Stories Poems Literature Jewels Unifix Cubes |
The Children's Writing and
Publishing Center
Primary Editor Plus Write Along Stories and More Exploring Math Concepts Counters and Sums Mental Math | |
| Grade 2
T-CAP, 1996 |
Mastery
Whole Numbers- 85% |
Partial Mastery
Whole Numbers- 12% |
Non-Mastery
Whole Numbers- 4% |
| Grade 2 | Skills | Manipulative | Technology |
| Fact Families-
Add and subtract with regrouping- Missing addend, 0-19- Count and Write to 1,000 by 1's from any point- Understand and use the Commutative and Associative Properties- Add and subtract word problems- Understand Mathematical Symbols, + - = < > X Add/Subtract vertically and horizontally- Transfer from horizontal to vertical- Multiplication as repeated addition 1, 2, 5, 10- 1, 2, & 3 digit addition with no regrouping- 1, 2, & 3 digit subrtaction without regrouping- 1-step word problems with money up to $10.00- Demonstrate recall of basic facts to 20- |
Math Safari
Mountain Math Overhead Dry Erase Boards and Markers Mr. Potato Head Manipulatives (examples tiles, blocks, counters, etc.) Calculators Popsicle Sticks Chip trading Tiles |
Math Concepts Level I
Math Practice Level I, II, III Math Strategies Counters and Equations Modeling Operations Examining Operations Mental Math The Children's Writing and Publishing Center Quickflash Speedway Math Coordinate Math Circus Math Addition Logician Path Tactics Multiplication Puzzles Subtraction Puzzles Space Subtraction Conquering Whole Numbers Early Addition Quotient Quest | |
| Grade 3
T-CAP, 1996 |
Mastery
Whole Numbers- 72% |
Partial Mastery
Whole Numbers- 20% |
Non-Mastery
Whole Numbers- 8% |
| Grade 3 | Skills | Manipulatives | Technology |
| Fact Families- + - ÷ x
Add numbers vertically and horizontally- Subtract with regrouping to 1,000- Add numbers with regrouping to 1,000- Count on and count back using a number line- Multiply a 1 or 2 digit number by a 1 digit- Learn symbols division and multiplication- Divide by a 1 or 2 digit number by a 1 digit number- Find missing addend- Find missing subtrahend- Word problems, + - ÷ x, and 1 step problems- Analyzing the data- Use calculators in appropriate computational situations- |
Math Safari
Mountain Math Overhead Dry Erase Boards and Markers Mr. Potato Head Manipulatives (examples titles, blocks, counters, etc.) Calculators Popsicle Sticks Chip trading Tiles |
Math Concepts Level I
Math Practice Level I, II, III Math Strategies Counters and Equations Modeling Operations Examining Operations Mental Math Quickflash Speedway Math Coordinate Math Circus Math Addition Logician Path Tactics Multiplication Puzzles Subtraction Puzzles Space Subtraction Conquering Whole Numbers Early Addition Quotient Quest | |
| Grade 4
T-CAP, 1996 |
Mastery
Whole Numbers- 69% |
Partial Mastery
Whole Numbers-21% |
Non-Mastery
Whole Numbers- 10% |
| Grade 4 | Skills | Manipulatives | Technology |
| Add & Subtract up to 4 & 5 digits-
Recall multiplication & division facts through 9- Multiply up to 4 digit numbers by 1 & 2 digit numbers with and without regrouping- Divide 3 digit numbers by 1 & 2 numbers with/without remainders- Solve 1 & 2 step word problems using add., mult., div., subtraction, and /or combination of operations- Add, subtract, multiply and divide with multi-digit numbers using zero- Introduce finding the average, median, and range- |
Calculators
Calc-u-Vue Overhead Calculator Base Ten Blocks (Student and Overhead) Unifix Cubes Chip Trading Set Beans and Cups Lap Chalk Boards |
Math Concepts, Level 1
Math Practice, Levels I, II, III Math Strategies Mental Math Counters & Equations Examining Operations Modeling Operations Speedway Math (Addition, Subtraction, Multiplication, Division) Conquering Whole Numbers (Addition, Subtraction) Conquering Whole Numbers (Multiplication, Division) Quotient Quest Multiplication Puzzles | |
| Grade 5
T-CAP, 1996 |
Mastery
Whole Numbers- 67% |
Partial Mastery
Whole Numbers- 19% |
Non-Mastery
Whole Numbers-14% |
| Grade 5 | Skills | Manipulatives | Technology |
| Add/ Subtract multi-digit numbers-
Multiply multi digit numbers by 2 and 3 digit numbers with and without zeros- Determine and use mean, mode, median, and range- Divide 3 digit number by 1 or 2 digit numbers with or without a remainder- Solve one-and two-step word problems involving any combination of basic operations on whole numbers- Complete a number sentence with missing numbers using addition, subtraction, multiplication and division - Add, subtract, multiply and divide with multi-digit numbers using zero- |
Calculators
Calc-u-Vue Overhead Calculator Base Ten Blocks (Student and Overhead) Unifix Cubes Chip Trading Set Beans and Cups Lap Chalk Boards |
Math Concepts, Level 1
Math Practice, Levels I, II, III Math Strategies Mental Math Counters & Equations Examining Operations Modeling Operations Speedway Math (Addition, Subtraction, Multiplication, Division) Conquering Whole Numbers (Addition, Subtraction) Conquering Whole Numbers (Multiplication, Division) Quotient Quest Multiplication Puzzles |
| National
Standards |
Grades K-4 | ||
| In grades K-4, the mathematics
curriculum should develop whole
number computation so that students
can-
decimals; develop number sense for fractions and decimals; equivalent fractions; use models to explore operations on fractions and decimals; apply fractions and decimals to problem situations. |
|||
| Kindergarten | Skills | Manipulatives | Technology |
| Equal Parts (Fair shares)
Whole and ½ |
Songs
Poems Stories Food Items- Tangrams for overhead- Transparent attribute blocks for overhead- Overhead fractional shapes Pizza (Hands-on) |
The Children's Writing and Publishing
Center
Primary Editor Plus Write Along Accelerated Reader | |
| Grade 1
T-CAP, 1996 |
Mastery
Fractions- 71% |
Partial Mastery
Fractions- 22% |
Non-Mastery
Fractions- 7% |
| Grade 1 | Skills | Manipulatives | Technology |
| Equal Parts (Fair shares)
Whole and ½, 1/3, and 1/4 |
Songs
Poems Stories Food Items- Tangrams for overhead- Transparent attribute blocks for overhead- Overhead fractional shapes Pizza (Hands-on) |
The Children's Writing and Publishing
Center
Primary Editor Plus Write Along Accelerated Reader | |
| Grade 2
T-CAP, 1996 |
Mastery
Fractions- 96% |
Partial Mastery
Fractions-12% |
Non-Mastery
Fractions- 0% |
| Grade 2 | Skills | Manipulative | Technology |
| Identify fractional parts, (½, 1/3, 1/4,)
Match word names to fractions,(½, 1/3, 1/4,) Read/write fractions, (½, 1/3, 1/4,) Understand equal parts |
Math Safari
Mountain Math Calendar Overhead and manipulative Dry Erase Boards/Markers Die cut machines Pattern Blocks Geoboards |
Modeling Operations
Accelerated Reader Exploring Math Concepts The Children's Writing and Publishing Center Primary Editor Plus Write Along Microsoft Works Conquering Decimals Decimal Concepts Conquering Fractions Fraction Practice Fraction Concepts Fraction Munchers | |
| Grade 3
T-CAP, 1996 |
Mastery
Fractions-19% Decimals-97% |
Partial Mastery
Fractions-54% Decimals-2% |
Non-Mastery
Fractions-27% Decimals-1% |
| Grade 3 | Skills | Manipulatives | Technology |
| Solve oral and written word problems
using fractions and decimals-
Read and write fractions (denominators to 10)- Read and write decimal- wholes, parts, tenths, and hundredths- Compare two fractions using greater than, lesser than, and equals symbols Match decimal numbers from 0.1 to 0.9 to shaded regions Read and write fractions and mixed numbers- Add and subtract decimals- |
Math Safari
Mountain Math Calendar Overhead and manipulative Dry Erase Boards/Markers Die cut machines Pattern Blocks Geoboards |
Modeling Operations
Accelerated Reader Exploring Math Concepts The Children's Writing and Publishing Center Primary Editor Plus Write Along Microsoft Works Conquering Decimals Decimal Concepts Conquering Fractions Fraction Practice Fraction Concepts Fraction Munchers | |
| Grade 4
T-CAP, 1996 |
Mastery
Fractions-66% Decimals-27% |
Partial Mastery
Fractions-18% Decimals-18% |
Non-Mastery
Fractions-17% Decimals-56% |
| Grade 4 | Skills | Manipulatives | Technology |
| Read and write word names for decimal
numbers through hundredths-
Read, write, and use numerator, denominator, and fractions Read write and use place value in a decimal up to hundredth place- Read, write, and use place value and total value of a mixed decimal to hundredths- Add and subtract fractions with like and unlike denominators Read, write, and compare fractions with like and unlike denominators- Add and subtract whole and mixed fractional numbers- Round decimals to nearest whole number and tenths- Identify decimal-fraction equalivalents with demoninators of 10 and 100- Identify money value through $1000- Read, write, and use place value of mixed decimals- Multiply and divide decimals- Make change up to $99- |
Calculators
Decimal Blocks Number Lines Fraction Dominoes Fraction Tiles Unifix Cubes Pattern Blocks Comparative fractions for overhead- |
Modeling Operations
Accelerated Reader Sticker Store Money Board Making Sense of Money The Children's Writing and Publishing Center Primary Editor Plus Write Along Microsoft Works Conquering Decimals Decimal Concepts Conquering Fractions Fraction Practice Fraction Concepts Fraction Munchers Conquering Percent and Ratios | |
| Grade 5
T-CAP, 1996 |
Mastery
Fractions-27% Decimals-46% |
Partial Mastery
Fractions-29% Decimals-40% |
Non-Mastery
Fractions-45% Decimals-14% |
| Grade 5 | Skills | Manipulatives | Technology |
| Read and write word names for decimal
numbers through thousandths-
Round decimals to the nearest hundredths, tenths, ones and ten- Solve addition, subtraction, multiplication and division problems involving monetary units Make change using bills and coins up to $999- Solve word problems with fractions and decimals- Read and write fractions in lowest terms using greatest common factors- Compare fractions with unlike denominators by finding common denominators- Identify a mixed number as an improper fraction and vice-versa- Subtract fractions having like denominators with regrouping- Change improper fractions to mixed numbers (and vice-versa) reducing fractions to lowest terms. Add and subtract fractions with unlike denominators with and without regrouping- Rename mixed fraction numbers- Add and subtract mixed numbers- Introduce multiplying and dividing fractions- Identify < & > of two decimal numbers to thousandths- Identify decimal numbers and place value to thousandths- Write word names for decimals to thousandths- |
Calculators
Decimal Blocks Number Lines Fraction Dominoes Fraction Tiles Unifix Cubes Pattern Blocks Comparative fractions for overhead- |
Modeling Operations
Accelerated Reader Sticker Store Money Board Making Sense of Money The Children's Writing and Publishing Center Primary Editor Plus Write Along Microsoft Works Conquering Decimals Decimal Concepts Conquering Fractions Fraction Practice Fraction Comcepts Fraction Munchers Conquering Percent and Ratios | |
| Add and subtract decimals (including
mixed numbers) to thousandths
Add and subtract using decimals, money, symbols correctly- Determine simple ratio's- write comparisons as ratios, percents, decimals, and fractions- Find a given percent of a number- Round decimal numbers- Add and subtract using decimals, money, and cents symbols correctly- |
Web Author: Perry Brown
Last Update: 01/26/98
Copyright ©1998 by Anderson County Schools - ALL RIGHTS RESERVED