|
Meigs County |
| Algebraic Concepts |
| This unit includes studying number systems, operations, and forms. Students explore the symbolic nature of algebraic concepts by identifying and extending patterns in algebra, by following algebraic procedures, and by proving theorems with properties. |
|
Operations: Operation Sense
The learner will be able to develop an understanding of operations and their effects.
|
|
Operations: Properties/Relationships
The learner will be able to display comprehension of and illustrate the properties and/or relationships of operations.
|
|
Number Sense: Manipulatives
The learner will be able to use manipulatives to demonstrate the following algebraic concepts: sets, elements of sets (a different shaped or colored manipulative can be used to represent a set of manipulatives), equal sets, variables representing unequal values (specific manipulatives can be used to equal five of another kind of manipulative), and the symbolic nature of algebra.
|
|
Problem Solving: Real-World Scenarios
The learner will be able to demonstrate an understanding of algebraic concepts by solving real-world scenario problems, and evaluate the nature and elements of problems, find solutions to given problems, and justify the solutions in writing, orally, or by using manipulatives.
|
|
Solution Methods: Represent
The learner will be able to use manipulatives and skip counting to determine sums, differences, products, and quotients.
|
|
Solution Methods: Addition/Subtraction
The learner will be able to describe and use a variety of thinking strategies and procedures such as the following for addition and subtraction of whole numbers: mental arithmetic, estimation, computation, and using a calculator.
|
|
Number Sentence: Missing Element
The learner will be able to comprehend that an equation is a number sentence which expresses that two quantities are equal and determine which operational symbol is missing from an equation.
|
|
Identify/Write Sentence
The learner will be able to identify the number sentence to be used in solving a word problem and write number sentences that illustrate real world scenarios involving addition, subtraction, and multiplication.
|
|
Fact Families: Components
The learner will be able to identify all of the components completing a fact family.
|
|
Operations: Properties
The learner will be able to demonstrate an understanding of the properties of various operations.
|
|
Operations: Problem Solving
The learner will be able to use the procedures of operations to obtain problem solutions.
|
|
Operations: Represent
The learner will be able to use manipulatives and the properties of operations to solve equations.
|
|
Inverse Operations: Checking
The learner will be able to check the correctness of an answer by using the inverse operation.
|
|
Algebraic Concepts: Representations
The learner will be able to identify algebraic illustrations of problem scenarios.
|
|
Algebraic Concepts: Procedures
The learner will be able to understand algebraic procedures.
|
|
Algebraic Concepts: Problem Solving
The learner will be able to use algebraic methods to solve mathematical problems.
|
|
Variable
The learner will be able to understand the basic concept of a variable as representing an unknown quantity.
|
|
Equalities/Inequalities: Represent
The learner will be able to use manipulatives to represent equalities and inequalities.
|
|
Computation: Real World Problems
The learner will be able to obtain solutions to real world problems that involve computations.
|
|
Computation: Proficiency/Fluency
The learner will be able to exhibit proficiency and fluency when performing computational procedures.
|
|
Properties: Commutative
The learner will be able to explain, illustrate (using physical materials), and apply the commutative properties of addition and multiplication with words, symbols, and/or arrays and demonstrate that subtraction is not communitative.
|
|
Division: Relate/Sharing
The learner will be able to relate division to sharing situations.
|
|
Equations: Writing Addition/Subtraction
The learner will be able to interpret, create, describe, write, and obtain solutions to addition and subtraction number sentences including those which are related and those which represent real world situations.
|
|
Facts: Apply/Multiplication
The learner will be able to apply the multiplication facts 0, 1, 2, 5, and 10 and use already learned multiplication facts to determine related products.
|
|
Multiplication: Identify/Relationship
The learner will be able to identify the relationship between skip counting and multiplication.
|
|
Open Sentences: Interpret/Multiplication
The learner will be able to interpret and obtain solutions to open sentences involving multiplication and relate open sentences with real world scenarios.
|
|
Operations: Multiplication/Addition
The learner will be able to connect the addition of doubles with multiplying by two.
|
|
Properties: Apply/Zero
The learner will be able to apply the property of zero in addition, subtraction, and multiplication.
|
|
Properties: Identity/Multiplication
The learner will be able to apply the identity properties of multiplication and use the multiplicative identity.
|
|
Terms: Communicate/Ideas
The learner will be able to use mathematical vocabulary and appropriate symbols to communicate ideas.
|
| Data Interpretation |
| This unit includes presenting data in graphical forms and interpreting data given in graphical forms. |
|
Bar Graphs: Read/Create/Interpret
The learner will be able to read, create, illustrate data, interpret, and add or subtract information in bar graphs.
|
|
Line Graphs
The learner will be able to identify, compare, and analyze points on a line graph.
|
|
Table/Chart: Read/Interpret
The learner will be able to read and interpret information in a table and/or chart, use tally marks to create tables, and obtain solutions to real world problems using tables.
|
|
Diagrams: Read
The learner will be able to read a diagram.
|
|
Evaluate Graphical Forms: Select Display
The learner will be able to choose the most suitable form and/or method of data display.
|
|
Pictographs: Read/Create/Interpret
The learner will be able to read, create, illustrate, and interpret information and data in pictographs.
|
|
Communicating: Pictograms
The learner will be able to create pictograms which convey information such as the following about the class: how much milk did the class drink in one week, how many hours were spent sleeping by the entire class in one week, etc.
|
| Decimals |
| This unit includes comparing decimals, performing operations with decimals, converting decimals to other number forms, using manipulatives to demonstrate decimals, and solving problems with decimals in real-world contexts. |
|
Add 2 Numbers: 1-2 Decimals
The learner will be able to add and subtract two numbers with 1-2 decimals as part of real-world scenarios (regrouping when necessary).
|
|
Add/Subtract Decimals: Represent
The learner will be able to use manipulatives and drawings to represent addition and subtraction of decimals.
|
|
Addition/Subtraction Decimals
The learner will be able to add and subtract decimal amounts.
|
|
Multiply/Divide Decimals
The learner will be able to multiply and divide decimals.
|
|
Decimals for Part of a Set
The learner will be able to identify the decimals that correspond to partially shaded figures.
|
|
Money: Amounts/Order Decimals/Compare
The learner will be able to order decimals expressed as money amounts and compare money amounts expressed as decimals.
|
| Fractions |
| This unit includes comparing fractions, performing computations with fractions, converting fractions to other number forms, using manipulatives to demonstrate fractions, and solving problems with fractions in real-world contexts. |
|
Fraction Concepts: Part/Whole
The learner will be able to develop an understanding that a whole object can be divided up into parts.
|
|
Fraction Parts: Part of a Set
The learner will be able to show an understanding of fractions by matching fractions with the appropriate diagrams of partially shaded figures.
|
|
Fractions: Proper/Represent
The learner will be able to use manipulatives and drawings to represent proper fractions.
|
|
Compare Fractions: Unit Fractions
The learner will be able to use manipulatives, number lines, and drawings to make comparisons of unit fractions with denominators up to ten.
|
|
Connecting: Models
The learner will be able to connect verbal, written, physical and pictorial models of fractions with denominators up to ten.
|
| Functions |
|
Functions: Relationships
The learner will be able to display comprehension of functional relationships, analyze functions in many different scenarios, and represent functions in various ways.
|
|
Function: Determine/Output/Input
The learner will be able to determine the output for a given input and the input for a given output when given the one operation function rule involving addition, subtraction or multiplication.
|
|
Functions: Create/Rule
The learner will be able to create a function rule containing one operation.
|
| Geometry |
| This unit includes exploring geometric concepts from multiple perspectives. |
|
Figures
The learner will be able to extend recognition of whole figures to the ability to analyze parts of figures, and classify figures by the similarities and differences of their parts.
|
|
Geometric Concepts: Understanding
The learner will be able to display comprehension of spatial relationship and geometry through the visualization and recognition of various objects (2D and 3D), by sorting different shapes, identifying symmetry, applying transformations and formulas, and through the evaluation of the characteristics of various figures.
|
|
Inductive/Deductive
The learner will be able to identify and use the techniques of inductive and deductive reasoning in problem solving situations.
|
|
Patterns: Problem Solving
The learner will be able to solve problems involving geometry by applying the ability to study, recognize, and extend pictorial, concrete, and numerical patterns.
|
|
Spatial Thinking: Visualization
The learner will be able to visualize and describe the outcome of folding geometric figures a variety of ways.
|
|
Spatial Thinking: Apply Concepts
The learner will be able to use suitable concepts and procedures of spatial reasoning/understanding.
|
|
Solids: Cube/Properties
The learner will be able to identify the number of faces on a cube.
|
|
Geometric Shapes: 2D
The learner will be able to classify (by similarities and differences), construct, create drawings, identify and name two-dimensional geometric shapes.
|
|
Figures: Terms
The learner will be able to apply the following geometric terms in discussing and comparing figures and shapes: congruent, area, perimeter, and volume.
|
|
Congruence/Similarity: Classification
The learner will be able to classify figures by congruence and/or similarity.
|
|
Lines/Rays: Properties
The learner will be able to recognize properties of line segments and rays.
|
|
Reasoning: Spatial
The learner will be able to use spatial reasoning skills and specify locations and explain spatial relationships.
|
|
Reasoning: Proportional
The learner will be able to use proportional reasoning skills.
|
|
Symmetry
The learner will be able to determine if a given shape is symmetrical.
|
|
Transformations: Predict/Explain
The learner will be able to formulate predictions and explain the results of sliding, flipping, and turning two-dimensional and plane figures.
|
|
Characteristics: Compare/2D/3D
The learner will be able to compare and contrast characteristics of two- and three-dimensional figures.
|
|
Congruence: Apply/Techniques
The learner will be able to recognize congruent figures and apply techniques to determine if two figures are congruent.
|
|
Diagonals: Identify/Draw/Polygons
The learner will be able to identify and draw diagonals of polygons.
|
|
Figures: Attributes/Properties/Study
The learner will be able to study the attributes and properties of geometric figures.
|
|
Lines: Identify/Draw
The learner will be able to identify and draw diagonal, horizontal, and vertical lines of geometric shapes.
|
|
Reflection/Rotation/Translation: Predict
The learner will be able to apply spatial reasoning to predict the results of performing reflections, rotations, and translations on plane figures.
|
|
Reflections/Rotations/Translations: Use
The learner will be able to recognize transformations and apply reflections, rotations, and translations.
|
|
Solids: Construct/Create/Draw/Name
The learner will be able to construct, create, draw, name, and recognize three-dimensional solids.
|
|
Symmetry: Draw/Plane/Explain
The learner will be able to draw plane shapes illustrating lines of symmetry and explain shapes that have two or more lines of symmetry.
|
|
Symmetry: Line/Recognize/2-D
The learner will be able to recognize line symmetry present in two-dimensional figures and designs.
|
|
Transformations: Explain
The learner will be able to apply appropriate mathematical vocabulary to explain the transformation that has to be applied to a basic geometric figure.
|
| Mathematics Processes |
|
Modeling: Problem Situations
The learner will be able to model problem scenarios.
|
|
Mathematical Concepts: Comprehend
The learner will be able to comprehend the vocabulary and symbols of mathematics and represent numbers up to 9,999 using physical, pictorial, and oral representations.
|
|
Sorting: Create/Perform/Describe
The learner will be able to create, perform, and describe a sorting scheme for a set of objects, sort objects by at least two characteristics, and describe and recognize the rules used to sort objects or numbers.
|
|
Conjecture: Formulate/Data
The learner will be able to formulate a conjecture based on collected and/or displayed data.
|
| Measurement |
| This unit includes experimenting with formal, informal, customary, and metric units of measurement, and distinguishing between situations which call for exact measurement and those which call for estimation. |
|
Calendar Concepts
The learner will be able to develop an understanding of calendars and their uses and use a calendar to obtain solutions to real world problems.
|
|
Money: Counting
The learner will be able to count and conduct computations with money including counting the value of coins and bills up to $5.00, making change up to one dollar, and identifying the value of combinations of coins and bills up to $5.00.
|
|
Accuracy: Appropriate Instrument/Unit
The learner will be able to choose the appropriate tools and units of measurement necessary to find accurate measurements given a specific situation including length, area, capacity, weight, time, and temperature.
|
|
Measurement Concepts: Understanding
The learner will be able to display comprehension of measurement systems, units, and/or instruments, through the descriptions, computations, or estimations of size, place, and or time.
|
|
Measurement Concepts: Understanding
The learner will be able to apply the ideas of perimeter, area, volume, capacity, weight, and/or mass in displaying and illustrating a comprehension of measurement systems, units, and/or instruments.
|
|
Problem Solving: Scale
The learner will be able to solve problems involving scale.
|
|
Problem Solving: Measurement
The learner will be able to solve problems involving measurement concepts.
|
|
Problem Solving: Rates
The learner will be able to solve story problems involving the rate (measure) of items.
|
|
Length: Ruler
The learner will be able to accurately read the appropriate scale on a ruler.
|
|
Time: Problem Solving/Read/Write
The learner will be able to solve problems involving time including reading and writing time to the nearest minute, half-hour, hour, quarter-hour, and in up to five-minute intervals, and discussing the passage of clock time in relation to personal experiences.
|
|
Weight: Problem Solving
The learner will be able to solve real-world measurement problem situations dealing with both metric and standard measures of weight.
|
|
Instruments: Appropriate
The learner will be able to use the appropriate measurement instrument (ruler, thermometer, etc.) when measuring a specific attribute.
|
|
Mass: Problem Solving
The learner will be able to solve real-world problems involving mass.
|
|
Estimate Measurements: Metric/Standard
The learner will be able to estimate length, weight, temperature, and capacity using both metric and standard units.
|
|
Area of a Rectangle: Develop Formula
The learner will be able to compose a formula to determine the areas of rectangles.
|
|
Estimate: Measurements
The learner will be able to apply strategies to estimate and/or approximate area, capacity, length, preimeter, temperature, time, and weight.
|
|
Measure/Estimate/Nonstandard
The learner will be able to use nonstandard units to measure and estimate area, capacity, and length.
|
|
Area: Understand
The learner will be able to understand the idea of area.
|
|
Capacity: Understand/Measure
The learner will be able to understand the concept of capacity measurement and measure capacity in gallons, in pints, and to the nearest cup, liter, and quart.
|
|
Length: Measure
The learner will be able to measure the length of an object to the nearest centimeter, inch, foot, and half-inch.
|
|
Measurement Estimation: Reasonable
The learner will be able to apply estimation to check reasonableness of measurements.
|
|
Measurement Estimation: Sufficient
The learner will be able to describe and determine when a measurement estimate is sufficient.
|
|
Measurement Processes: Comprehend
The learner will be able to comprehend the measurable characteristics of objects.
|
|
Measurement: Relationship/Inch/Foot
The learner will be able to explain the relationship among inch, foot, and yard.
|
|
Perimeter: Determine/Regular Polygon
The learner will be able to understand the idea of perimeter and find and determine the perimeter of regular polygons.
|
|
Temperature: Celsius/Fahrenheit
The learner will be able to read a Celsius and Fahrenheit thermometer.
|
|
Weight: Kilograms/Grams/Pounds
The learner will be able to measure weight in kilograms, grams, and pounds.
|
|
Weight: Measure/Nearest/Gram/Ounce
The learner will be able to measure to the nearest gram and the nearest ounce.
|
| Number Theory |
| This unit includes manipulating number forms and classifications. Students make connections between number forms and their real-world applications. |
|
Place Value: Applications
The learner will be able to understand and apply place value concepts when reading, writing, calculating, and estimating numbers including identifying and describing the place value of a given digit up to 10,000.
|
|
Number Sense: Understanding Uses
The learner will be able to comprehend the many applications of numbers, such as counting, measuring, labeling, and showing location.
|
|
Read Numbers
The learner will be able to read and/or identify numbers including reading whole numbers less than 10,000.
|
|
Equivalent Forms
The learner will be able to comprehend the use and representation of numbers in many different yet equivalent forms such as integers, fractions, decimals, percents, and exponential and scientific notation, in real world and mathematical contexts.
|
|
Equivalent Forms: Understanding
The learner will be able to know that equivalent forms of the same number allow it to be represented in a variety of ways.
|
|
Number Theory: Application
The learner will be able to show an ability to correctly use concepts and/or ideas related to number theory.
|
|
Number Forms: Relationships
The learner will be able to recognize relationships, and understand and/or use numbers and number ideas in a real world setting.
|
|
One-to-one Correspondence
The learner will be able to identify group showing a specific quantity.
|
|
Number Sense: Demonstrating
The learner will be able to display a knowledge of number sense.
|
|
Proportion Story Problems
The learner will be able to use proportional reasoning to solve story problems.
|
|
Number Sense: Comprehend/Relationships
The learner will be able to comprehend relationships among numbers and number systems.
|
|
Expanded Notation: Whole Numbers
The learner will be able to identify, write, and illustrate whole numbers up to 10,000 in expanded form and write up to five-digit numbers in expanded notation.
|
|
Number Forms: Illustrate/Various Ways
The learner will be able to understand the various ways of representing numbers and illustrate numbers to 9,999 in flexible ways using many different materials.
|
|
Odd/Even: Recognize/Whole Numbers
The learner will be able to recognize even and odd whole numbers.
|
| Numeration |
| This unit includes exploring ordinality, identifying and extending number patterns, comparing numbers, and demonstrating number relationships. |
|
Patterns: Geometric/Understand
The learner will be able to understand and/or apply geometric patterns.
|
|
Patterns: Relationships
The learner will be able to apply patterns and relationships in the evaluation of various scenarios.
|
|
Compare/Order
The learner will be able to compare and/or order numbers and/or objects.
|
|
Estimation Strategies
The learner will be able to apply suitable approximation methods in problem solving situations.
|
|
Number Uses
The learner will be able to comprehend numbers and demonstrate an understanding that numbers are used for counting, measuring, ordering, and estimating.
|
|
Patterns: Describe/Analyze/Extend
The learner will be able to make, study, continue, and/or describe many different patterns.
|
|
Pattern: Problem Solving
The learner will be able to solve problems using number patterns.
|
|
Ordering Numbers
The learner will be able to order a sequence of numbers which may include whole numbers, decimals, fractions, percents, and integers.
|
|
Estimation
The learner will be able to use estimation in solving problems, to obtain reasonable approximations, and to choose a reasonable solution.
|
|
Estimation: Money
The learner will be able to make estimations with money.
|
|
Number Lines
The learner will be able to identify points on the number line and solve for the difference between two points on the line.
|
|
Sequence: Missing Number
The learner will be able to find the missing number in a sequence.
|
|
Computing
The learner will be able to correctly perform various computations.
|
|
Patterns: Continue/Illustrate/Translate
The learner will be able to continue repeating and growing number and geometric patterns, illustrate repeating geometric patterns as repeating number patterns, and translate between pattern representations.
|
|
Change: Analyze/Contexts
The learner will be able to analyze change in many different contexts and explain qualitative and quantitative change.
|
|
Classify/Sort Objects: Size/Number
The learner will be able to classify and/or sort objects according to size, number, and other properties.
|
|
Skip Counting: Hundreds/Tens/Thousands
The learner will be able to skip count by hundreds, tens, and thousands, from any whole number.
|
|
Number Lines: Recognize/Fractions
The learner will be able to recognize the position of 1/2, 1/3, and 1/4 on a number line.
|
|
Pattern: Model/Analyze/Create/Describe
The learner will be able to model, analyze, create, describe, extend, and identify patterns.
|
|
Patterns: Explain/Growing
The learner will be able to explain a growing pattern.
|
|
Rounding: Choose/Methods
The learner will be able to choose appropriate rounding methods in problem solving scenarios and round whole numbers to the nearest ten, hundred, or thousand, and use this to estimate the outcome of a given equation.
|
| Probability/Statistics |
| This unit includes collecting, analyzing, and making sense of real-world data (including overlapping data, inconclusive data, etc.). |
|
Data: Evaluate
The learner will be able to evaluate bias, accuracy, and validity of data in real-world situations.
|
|
Data Analysis: Problem Solving
The learner will be able to use methods of data analysis to solve problems.
|
|
Probability/Statistics: Application
The learner will be able to apply the basic concepts of probability and interpret a real-world problem situation and solve it using probability and statistics concepts.
|
|
Probability
The learner will be able to identify the probability of a given situation, and describe events as certain, possible, impossible, likely, or unlikely.
|
|
Data: Interpret/Analyze
The learner will be able to interpret and analyze given data.
|
|
Data Analysis: Real World Applications
The learner will be able to apply data analysis concepts in real world scenarios.
|
|
Data: Develop/Choose/Apply
The learner will be able to develop, choose, and apply appropriate strategies to collect, organize, display, and analyze data.
|
|
Data Collection: Answer Questions
The learner will be able to ask questions that can be answered by gathering data and collect data in order to answer questions.
|
|
Outcomes: Explain/Recognize/Experiment
The learner will be able to explain and recognize all possible outcomes of a simple experiment.
|
|
Predict: Outcomes
The learner will be able to make and justify predictions of the outcomes of events based on collected and displayed data.
|
| Problem Solving |
|
Strategies: Applying
The learner will be able to solve routine and non-routine problems using a variety of strategies, such as usage of drawings, diagrams, and organized lists, models and "act out", spatial visualization, logical thinking, estimation, patterns, and the guess and check strategy.
|
|
Strategies: Applying
The learner will be able to apply appropriate strategies to solve problems, such as, make a chart or graph, make a simpler problem, work backwards, and break the problem into parts.
|
|
Problem Solving: Applying Math Processes
The learner will be able to solve real-world problems by implementing the necessary mathematical processes.
|
|
Problems: Representations
The learner will be able to make connections between mathematical representations and their corresponding problem scenarios.
|
|
Necessary Information
The learner will be able to identify the information needed to solve a problem.
|
|
Solution: Reasonableness
The learner will be able to evaluate, describe, and justify the reasonableness of a given solution.
|
|
Problem Solving: Non-Routine
The learner will be able to obtain solutions to non-routine problems.
|
|
Strategies: Choose/Apply/Suitable
The learner will be able to choose, apply, and explain strategies for obtaining problem solutions.
|
| Technology |
| This unit includes studying computer hardware and software, uses for calculators, and applications of technology in problem solving. |
|
Calculator: Apply/Problem Scenarios
The learner will be able to apply calculators in problem solving scenarios and relate calculator procedures to computation.
|
| Whole Numbers |
| This unit includes performing operations with whole numbers, using manipulatives to demonstrate whole number concepts, and solving problems with whole numbers in real-world contexts. |
|
Add Whole Numbers
The learner will be able to perform addition on whole numbers (with and/or without regrouping) including two- and/or three-digit whole numbers.
|
|
Subtract Whole Numbers
The learner will be able to perform subtraction on whole numbers (with and/or without regrouping) including two- and/or three-digit whole numbers.
|
|
Multiply Whole Numbers
The learner will be able to perform multiplication on whole numbers (with and/or without regrouping) and illustrate the idea of multiplication as repeated addition.
|
|
Divide Whole Numbers
The learner will be able to perform division on whole numbers (where a remainder may or may not exist).
|
|
Problem Solving: Addition/Subtraction
The learner will be able to find solutions to real world problems that involve adding and subtracting whole numbers.
|
|
Add/Subtract: Strategies
The learner will be able to apply many different thinking strategies to add and subtract whole numbers.
|
|
Compare Numbers: Less Than 10,000
The learner will be able to use the appropriate symbol to compare whole numbers less than 10,000.
|
|
Operations: Meaning
The learner will be able to understand the meaning of operations.
|
|
Order: Whole Numbers/To 10,000
The learner will be able to order whole numbers up to 10,000 including whole numbers presented in number form, with manipulatives, and in graphical forms.
|
|
Whole Numbers: Represent
The learner will be able to write and represent whole numbers with up to four digits (up to 9,999).
|
| Real Numbers and the Coordinate Plane |
|
Coordinate Geometry: Apply/Vocabulary
The learner will be able to apply appropriate mathematical vocabulary to locate a point on a grid using whole number coordinates.
|
|
Coordinate Geometry: Recognize
The learner will be able to use whole number coordinates to recognize a location on a grid.
|