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  • 8/9/2019 Mathematics 2003 Alabama

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    Mathematics (2003)

    Grade(s): K

    Web

    Links:2

    Lesson

    Plans:

    33

    1.) Demonstrate concepts of number sense by using one-to-one correspondence,counting in sequence by ones from 1 to 20, counting backward from 10,recognizing numerals 0-9, and comparing sets of objects up to 10 by usingvocabulary terms including more than, less than, most, orleast.

    Example: one-to-one correspondence-objects paired with objects, objects pairedwith numbers

    Mathematics (2003)

    Grade(s): K

    Web

    Links:2

    Lesson

    Plans:

    2

    6

    2.) Demonstrate addition by using numbers totaling 5 or less and subtraction byusing numbers less than or equal to 5.

    Example: using objects, number stories, or real-life situations

    Mathematics (2003)

    Grade(s): K

    Web

    Links:2

    Lesson

    Plans:5

    3.) Recognize that a whole object can be divided into parts.

    Dividing a whole object into equal parts

    Mathematics (2003)

    Grade(s): KWeb

    Links:1

    Lesson

    Plans:15

    5.) Replicate patterns using concrete objects.

    Sorting objects by characteristics

    Examples: color, size, shape

    Describing characteristics of patterns and/or objects

    Mathematics (2003)

    Grade(s): K

    Web Links: 0

    Lesson Plans: 9

    7.) Identify rectangles, squares, circles, and triangles.

    Recognizing like shapes in the environment

    Examples: clock-circle, door-rectangle

    Mathematics (2003)

    Grade(s): K

    Web Links: 1

    Lesson Plans: 13

    8.) Use vocabulary associated with length, height, volume, andweight to compare objects.

    Examples: longer than, as long as, shorter than, as short as, tallerthan, as tall as, holds more, as heavy as

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    Mathematics (2003)

    Grade(s): 1

    Web Links: 1

    Lesson Plans: 34

    2.) Demonstrate conceptual understanding of addition andsubtraction by telling number stories; joining, separating, andcomparing sets of objects; and applying signs (+ and -) to theactions of joining and separating sets.

    Solving simple word problems using a variety of strategies anddistinguishing between relevant and irrelevant information

    Example: strategies-counting all, counting on, counting back

    Solving problems requiring the addition and subtraction of one- ortwo-digit numerals without regrouping

    Using three or more addends

    Mathematics (2003)Grade(s): 1

    Web Links: 0

    Lesson Plans: 11

    6.) Solve problems using the identity and commutative properties ofaddition.

    Mathematics (2003)

    Grade(s): 1

    Web Links: 0

    Lesson Plans: 11

    10.) Compare objects according to length, weight, and capacity.

    Measuring the length of objects using a variety of nonstandard units

    Examples: using objects of unequal length-finding number of pencils

    needed to measure length of desk; using objects of equal length-comparing number of equally-sized paper clips needed to measurelength of desk

    Ordering according to attributes

    Mathematics (2003)

    Grade(s): 2

    Web Links: 0

    Lesson Plans: 1

    7.) Describe change over time in observable (qualitative) andmeasurable (quantitative) terms.

    Examples: recognizing that a plant grew taller (qualitative, requiringobservation); recognizing that a plant grew three inches (quantitative,

    requiring measurement)

    Mathematics (2003)

    Grade(s): 2

    Web Links: 0

    Lesson Plans: 1

    9.) Describe the route from one location to another by applyingconcepts of direction and distance.

    Examples: direction-left, right, north, south, east, west; distance

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    (nonstandard)-twenty-five steps from the library; distance (standard)-ten feet from the walkway

    Following multistep directions to locate objects

    Reading maps of the school environment

    Example: using a school map to tell how to get from the classroom tothe office

    Using grids for movement between points

    Mathematics (2003)

    Grade(s): 2

    Web Links: 0

    Lesson Plans: 16

    10.) Measure length in customary units, including inches, feet, andyards.

    Using metric units

    Using appropriate tools, including rulers, yard sticks, meter sticks, ortape measures

    Mathematics (2003)

    Grade(s): 2

    Web Links: 0

    Lesson Plans: 4

    11.) Estimate weight and capacity by making comparisons with familiarobjects.

    Examples: a desk weighing more than a pencil, a cup holding less than abucket

    Mathematics (2003)

    Grade(s): 2

    Web Links: 0

    Lesson Plans: 3

    14.) Determine if one event related to everyday life is more likely or lesslikely to occur than another event.

    Example: determining if it is more likely to rain or snow on July 4th inAlabama

    Mathematics (2003)

    Grade(s): 3

    Web Links: 3

    2.) Solve addition and subtraction problems, including word problems,involving two- and three-digit numbers with and without regrouping.

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    Lesson Plans: 14

    Estimating sums and differences by using compatible numbers, front-end estimation, and rounding

    Demonstrating computational fluency in addition and subtraction

    Mathematics (2003)

    Grade(s): 3

    Web Links: 0Lesson Plans: 13

    3.) Multiply whole numbers with and without regrouping using single-digit multipliers.

    Applying concepts of multiplication through the use of manipulatives,number stories, arrays, repeated addition, or problem situations

    Applying basic multiplication facts through 9x9 by using manipulatives,solving problems, and writing number stories

    Recognizing properties of multiplication

    Mathematics (2003)

    Grade(s): 3

    Web Links: 0Lesson Plans: 3

    9.) Specify locations on a coordinate grid by using horizontal andvertical movements.

    Mathematics (2003)

    Grade(s): 3

    Web Links: 0

    Lesson Plans: 13

    12.) Recognize data as either categorical or numerical.

    Examples: categorical-gender, race, languages spoken, genre; numerical-age, height, weight

    Comparing related data sets

    Mathematics (2003)

    Grade(s): 4

    Web Links: 1

    Lesson Plans: 17

    6.) Solve problems, including word problems, that involve additionand subtraction of four-digit numbers with and without regrouping.

    Estimating sums and differences of whole numbers by usingappropriate strategies such as rounding, front-end estimation, andcompatible numbers

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    Adding and subtracting decimals and money amounts

    Mathematics (2003)

    Grade(s): 4

    Web Links: 2

    Lesson Plans: 22

    7.) Solve problems, including word problems, involving the basicoperations of multiplication and division on whole numbers through

    two-digit multipliers and one-digit divisors.

    Estimating products and quotients of whole numbers by usingappropriate strategies such as rounding, front-end estimation, andcompatible numbers

    Identifying information needed to determine the appropriateoperation to solve a problem

    Demonstrating computational fluency in multiplication and division

    fact families through 12

    Mathematics(2003)

    Grade(s): 4

    Web Links: 0

    Lesson Plans: 5

    12.) Find locations on a map or grid using ordered pairs.

    Mathematics(2003)

    Grade(s): 4

    Web Links: 1

    Lesson Plans: 7

    13.) Calculate elapsed time in hours and minutes.

    Mathematics(2003)

    Grade(s): 4

    Web Links: 2

    Lesson Plans: 34

    14.) Measure length, width, weight, and capacity, using metric andcustomary units, and temperature in degrees Fahrenheit and degrees Celsius.

    Estimating perimeter and area of irregular shapes using unit squares andgrid paper

    Estimating area using unit squares

    Mathematics(2003)

    Grade(s): 4

    Web Links: 1

    Lesson Plans: 27

    16.) Determine if outcomes of simple events are likely, unlikely, certain,equally likely, or impossible.

    Mathematics 17.) Represent numerical data using tables and graphs, including bar graphs

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    (2003)

    Grade(s): 4

    Web Links: 1

    Lesson Plans: 55

    and line graphs.

    Mathematics(2003)

    Grade(s): 5

    Web Links: 0

    Lesson Plans:19

    10.) Identify the center, radius, and diameter of a circle.

    Mathematics (2003)

    Grade(s): 6

    Web Links: 2

    Lesson Plans: 22

    1.) Demonstrate computational fluency with addition, subtraction,multiplication, and division of decimals and fractions.

    Comparing rational numbers written as fractions, decimals, mixed

    numbers, and percents

    Converting fractions and mixed numbers to decimals and percents

    Converting terminating decimals and percents to fractions and mixednumbers

    Writing decimal numbers in expanded notation

    Example: 52.37 = 50 + 2 + 3/10 + 7/100

    Using prime factorizations

    Identifying prime and composite numbers

    Using greatest common factor (GCF) to simplify fractions

    Formulating algorithms using basic operations on fractions anddecimals

    Example: determining a systematic set of steps that can be used todivide fractions

    Applying the distributive property to compute with fractions anddecimals

    Using least common multiple (LCM) to add and subtract fractionswith unlike denominators

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    Mathematics (2003)

    Grade(s): 6

    Web Links: 1

    Lesson Plans: 18

    2.) Solve problems involving decimals, percents, fractions, andproportions.

    Example: determining the sale price of a pair of jeans that regularly sells

    for $25 to be $22.50 if they are on sale at 10 percent off the regularprice

    Estimating with fractions and decimals

    Mathematics(2003)

    Grade(s): 6

    Web Links: 0

    Lesson

    Plans:

    13

    5.) Plot coordinates on grids, graphs, and maps.

    Identifying the coordinates of a point on the Cartesian plane

    Comparing parallel and perpendicular lines

    Mathematics (2003)

    Grade(s): 6

    Web Links: 0

    Lesson Plans: 3

    8.) Determine the distance between two points on a scale drawing or amap using proportional reasoning.

    Using different forms of notation to symbolize ratios and rates

    Mathematics (2003)

    Grade(s): 6

    Web Links: 0

    Lesson Plans: 6

    9.) Convert units of length, weight, or capacity within the same system(customary or metric).

    Mathematics (2003)

    Grade(s): 6

    Web Links: 0

    Lesson Plans: 22

    10.) Interpret information from bar graphs, line graphs, and circle graphs.

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    Mathematics (2003)

    Grade(s): 7

    Web Links: 2

    Lesson Plans: 14

    3.) Solve problems requiring the use of operations on rational numbers.

    Describing the method used

    Determining the reasonableness of results

    Using percents to solve problems, including problems involvingdiscounts, taxes, commissions, and simple interest

    Mathematics(2003)

    Grade(s): 7

    Web Links: 1

    Lesson Plans:7

    6.) Solve one- and two-step equations.

    Solving inequalities in one variable

    Graphing solution sets of inequalities on a number line

    Recognizing properties of equality

    Mathematics(2003)

    Grade(s): 7

    Web Links: 1

    Lesson Plans:5

    9.) Solve problems involving circumference and area of circles.

    Estimating circumference, diameter, and area

    Determining appropriate units of measure to describe circumference,diameter, and area

    Measuring circumference and diameter using customary and metric units

    Developing formulas for determining circumference and area

    Mathematics(2003)

    Grade(s): 7

    Web Links: 0Lesson Plans: 18

    11.) Solve problems involving ratios or rates, using proportional reasoning.

    Determining the unit rate

    Converting rates from one unit to another

    Example: determining the number of minutes in three days

    Converting units of length, weight, or capacity from metric to customaryand from customary to metric

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    Mathematics(2003)

    Grade(s): 7

    Web Links: 0

    Lesson Plans: 12

    12.) Determine measures of central tendency (mean, median, and mode)and the range using a given set of data or graphs, including histograms,frequency tables, and stem-and-leaf plots.

    Creating histograms

    Mathematics(2003)

    Grade(s): 8

    Web

    Links:0

    Lesson

    Plans:29

    1.) Use various strategies and operations to solve problems involving realnumbers.

    Using alternative representations of rational numbers

    Examples: models, drawings, grids, graphs

    Applying GCF, LCM, and prime and composite numbers, includingjustification for the reasonableness of results, when working with rationalnumbers

    Example: A new music store is having a grand opening. Every 20th customergets a free compact disk (CD). Every 35th customer gets a free tote bag. Thefirst customer to receive both gifts will be the 140th customer, because 140 isthe LCM of 20 and 35. The answer (140th) is reasonable because it is largerthan both 20 and 35. To say that the 5th customer, which is the GCF of 20 and35, receives the gift is not reasonable because it is smaller than 20 and 30.

    Applying proportional reasoning

    Using vocabulary associated with sets, including union and intersection

    Determining whether a number is rational or irrational

    Demonstrating computational fluency with operations on rational numbers

    Mathematics(2003)

    Grade(s): 8Web Links: 1

    Lesson

    Plans:11

    14.) Determine the theoretical probability of an event.

    Calculating the probability of complementary events and mutually exclusiveevents

    Comparing experimental and theoretical probability

    Computing the probability of two independent events and two dependentevents

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    Determining the probability of an event through simulation

    Example: using random numbers to find the probability of a basketball playermaking six baskets in six attempts if he makes 60 percent of his shots from the

    court and shoots 20 times during a gameMathematics(2003)

    Grade(s): 9 -12

    Algebra

    Web Links:0

    Lesson

    Plans:13

    1.) Simplify numerical expressions using properties of real numbers and orderof operations, including those involving square roots, radical form, or decimalapproximations.

    Applying laws of exponents to simplify expressions, including thosecontaining zero and negative integral exponents

    Mathematics(2003)

    Grade(s): 9 -12

    Algebra

    Web

    Links:1

    Lesson

    Plans:10

    8.) Solve systems of linear equations and inequalities in two variables

    graphically or algebraically.

    Modeling real-world problems by developing and solving systems of linearequations and inequalities

    Mathematics(2003)

    Grade(s): 9 -12

    Algebra

    Web

    Links:0

    Lesson

    Plans:10

    12.) Compare various methods of data reporting, including scatterplots, stem-and-leaf plots, histograms, box-and-whisker plots, and line graphs, to makeinferences or predictions.

    Determining effects of linear transformations of data

    Example: The mean score on an algebra test was 78. If the teacher adds fivepoints to each student's grade, the mean score will be 83.

    Determining effects of outliers

    Evaluating the appropriateness of the design of a survey

    Mathematics(2003)

    Grade(s): 9 -12

    Algebra II

    Web 0

    6.) Perform operations on functions, including addition, subtraction,multiplication, division, and composition.

    Determining the inverse of a function or a relation

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    Links:

    Lesson

    Plans:1

    Performing operations on polynomial and rational expressions containingvariables

    Constructing graphs by analyzing their functions as sums, differences, orproducts

    Mathematics(2003)

    Grade(s): 9 -12

    Algebra II

    Web

    Links:0

    LessonPlans:

    1

    12.) Calculate probabilities of events using the laws of probability.

    Using permutations and combinations to calculate probabilities

    Calculating conditional probability

    Calculating probabilities of mutually exclusive events, independent events, and

    dependent events

    Mathematics(2003)

    Grade(s): 9 -12

    Algebra IIIwith Statistics

    Web

    Links:0

    Lesson

    Plans:0

    14.) Determine the probability of an event using a frequency distribution curve.

    Comparing the terms of a binominal expansion to the terms of a binomialprobability distribution

    Mathematics(2003)

    Grade(s): 9 -12

    AlgebraicConnections

    Web

    Links:0

    Lesson

    Plans:2

    12.) Use ratios of perimeters, areas, and volumes of similar figures to solveapplied problems.

    Example: using a blueprint or scale drawing of a house to determine the amount ofcarpet to be purchased for the house

    Mathematics(2003)

    Grade(s): 9 -12

    14.) Estimate probabilities given a frequency distribution.

    Making decisions on the basis of probabilities

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    AlgebraicConnections

    Web

    Links:0

    Lesson

    Plans: 1