Chapter -"Number Theory and Systems"-Understand numeration, number theory, and number systems.
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| 1 |
Standard and Expanded Form-Convert numbers containing two to nine digits from standard form to expanded form and vice versa.
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40909 40910 40911
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| 2 |
Write Numbers-Write numbers up to nine digits using oral cues and written cues.
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40912 40913 40915
|
| 3 |
Order and Compare Numbers-Order numbers up to nine digits and compare numbers using the symbols <, >, and =.
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40922 40923 40924
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| 4 |
Rounding Numbers-Round numbers to the nearest ten, hundred, thousand, ten thousand, and hundred thousand.
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40925 40926 40927 4B003 4B004
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Chapter -"Addition and Subtraction"-Understand the meanings of operations and how they relate to one another. (+, -)
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| 1 |
Add Whole Numbers-Add whole numbers. (4-digits, up to 3 numbers)
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40967 40968 41029
|
| 2 |
Subtract Whole Numbers-Subtract 4-digit numbers with multiple zeros.
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40969 40970 41030
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| 3 |
Estimate Sums and Differences-Estimate sums and differences using rounding and compatible numbers.
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40989 41031
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Chapter -"Multiplication and Division"-Understand the meaning of operations and how they relate to one another.
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| 1 |
Multiples and Common Multiples-Define multiples, and list multiples of a given number. Identify common multiples of two given numbers.
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40856 40860 40861 4B018
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| 2 |
Partial Products-Multiply 1-digit numbers with 2-digit and 3-digit numbers. Use partial products and mental multiplication as strategies.
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40866 40868 40869 4B008 4B009
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| 3 |
Multiply Large Numbers-Multiply 2-digit numbers with 2 and 3-digit numbers.
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40867 40870 4B006 4B007
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| 9 |
Three-Digit Multiplication-Multiply 3-digit numbers by 3-digit numbers.
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4B010 4B011
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| 4 |
Multiple Factors-Multiply multiple factors.
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40872 40888 41147 4B012
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| 5 |
Factors and Common Factors-Identify factors of a given number and common factors of two given numbers.
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40873 40885 40886 40914 4B016 4B017
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| 6 |
Dividing with 1-digit Divisors-Divide dividends up to four-digits by one-digit with and without remainders. (Include quotients with 0's)
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40887 40890
|
| 7 |
Dividing with 2-digit Divisors-Solve two-digit division problems with and without remainders.
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40901 40905 40906 4B013 4B014 4B015
|
| 8 |
Average-Find the average of a set of numbers.
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40900 40907 40908
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Chapter -"Fractions and Decimals"-Understand relationships among numbers and ways of representing fractional and decimal numbers.
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| 1 |
Parts of a Set or a Whole-Match parts of a set and parts of a whole with equivalent fractions with denominators up to 12.
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40977 40978 40979
|
| 11 |
Fractions with 0-Explore fractions with 0 in the numerator and 0 in the denominator.
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4B020
|
| 2 |
Improper Fractions-Identify improper fractions, and convert between improper fractions and mixed numbers.
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40980 40981 40982 4B028 4B029
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| 3 |
Equivalent Fractions-Recognize equivalent fractions. Reduce fractions to lowest terms.
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40983 40984 4B021 4B022
|
| 12 |
Word Problems With Fractions-Explore word problems with simple fractional answers.
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4B030
|
| 13 |
Fractions of Whole Numbers-Explore fractions that simplify to whole numbers.
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4B027
|
| 14 |
Finding Common Denominators-Find the lowest common denominators of fractions.
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4B023 4B024
|
| 4 |
Compare and Order Fractions-Order fractions with like and unlike denominators 1 through 12 and compare fractions using the symbols <, >, and =.
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40986 40987 4B025
4B026 |
| 5 |
Add and Subtract Fractions-Add and subtract fractions with like denominators.
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41003 41004 4B031 4B033 4B032
|
| 6 |
Add and Subtract Mixed Numbers-Add and subtract mixed numbers with like denominators.
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41006 41007
|
| 7 |
Add/Subtract Unlike Fractions-Add and subtract fractions with unlike denominators up to 12.
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41014 41015 4B034 4B035 4B036
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| 8 |
Compare and Order Decimals-Order decimals and compare the values of two decimals using the signs <, >, and = up to the thousandths place.
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41017 41018
|
| 9 |
Decimals as Fractions-Read and write decimals as fractions.
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41022 41023
|
| 10 |
Add and Subtract Decimals-Add and subtract decimals through thousandths.
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41025 41026 4B037 4B041 4B038 4B039
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Chapter -"Money"-Understand the concept of money.
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| 1 |
Count Money and Make Change-Count and exchange money in amounts up to $100.00. Solve problems that require making change in amounts up to $100.00.
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40948 40949 40950
|
| 2 |
Add and Subtract Money-Solve addition and subtraction problems involving money.
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40956 40957 40958 4B040
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| 3 |
Multiply and Divide Money-Solve multiplication and division problems involving money.
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40959 40960 40961
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Chapter -"Patterns"-Understand patterns, relations, and functions.
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| 1 |
Patterns-Identify and extend patterns and apply pattern rules using shapes, colors, and numbers. (repeating, growing patterns)
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40894 40895 40896
|
| 2 |
Numeric Patterns-Identify and apply pattern rules using sequences of related numbers. (arithmetic, geometric sequence)
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40897 40898 40899
|
| 3 |
Apply Function Rules-Apply the appropriate rule to complete a chart including input/output tables. Solve problems associated with a given relationship using a table of values.
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40902 40903 40904
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Chapter -"Algebra"-Represent and analyze mathematical situations using algebraic symbols.
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| 1 |
Expressions-Represent written relationships as expressions and use a variable to represent an unknown quantity in an expression.
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40919 40921
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| 2 |
Equations-Explore the idea of a variable by solving for an unknown quantity in an equation. Example: 3 + a = 7.
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40931 40932 40933 4B005 4B019
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| 3 |
Properties-Use the Commutative and Associative Properties of Addition and Multiplication to find equivalent expressions or equations containing an unknown quantity.
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40942 40943 40944 4B001 4B002
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Chapter -"Properties of Shapes"-Analyze characteristics and properties of 2- and 3-dimensional shapes.
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| 6 |
Using Geometric Vocabulary-An introduction to geometric vocabulary.
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4B058
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| 1 |
Points, Lines, Segments, Rays-Define, name, and identify points, lines, line segments, rays and angles.
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40818 40823 40824 4B047 4B048
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| 2 |
Classify Angles-Identify and classify angles as right, obtuse, or acute.
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40817 40825 40829 4B049 4B050
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| 3 |
Attributes of Polygons -Identify polygons, regular polygons, and non-polygons and their attributes.(sides, angles, and vertices) Classify polygons into subsets.
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40820 40830 40831
|
| 4 |
Attributes of Triangles -Classify triangles according to angle size (right, acute, obtuse) and side lengths (equilateral, isosceles, scalene).
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40816 40832 40833 40834 4B051 4B052
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| 5 |
Attributes of Circles-Identify the radius and diameter of a circle, and calculate one when given the other.
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40819 40835 40836
|
| 6 |
Attributes of Solids-Identify the attributes of solid figures such as cubes, prisms, pyramids, cones, cylinders, and spheres. (edges, vertices, and faces) Identify and create two-dimensional representation of a three-dimensional figure.
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40822 40837 40838
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Chapter -"Coordinate Geometry"-Specify locations and describe spatial relationships using coordinate geometry.
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| 1 |
Ordered Pairs-Plot a point given an ordered pair or write the ordered pair of a point shown on a coordinate grid.(1st quadrant only)
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40839 40840 40841
|
| 2 |
Distance and Directions-After being given the distance and navigational directions from the initial point within the first quadrant, write the ordered pair of the final point.
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40842 40843
|
Chapter -"Transformations and Symmetry"-Apply transformations and use symmetry to analyze mathematical situations.
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| 1 |
Similar and Congruent Figures-Given a plane figure, identify the similar or congruent figure.
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40826 40827 40828 41140 4B053
|
| 2 |
Transformations-Apply a translation, a reflection, or a rotation to a plane figure. Predict the result. Identify the image of a plane figure as a translation, a reflection, or a rotation.
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40844 40845 41141
|
| 3 |
Symmetry-Classify plane figures as having line symmetry, point symmetry, both, or none.
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40846 40847 41143
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Chapter -"Time"-Understand the attributes of time and apply tools
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| 1 |
Telling Time-Tell and show time to the 5 and 1 minute intervals.
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40848 40849 41142
|
| 2 |
Elapsed Time-Find elapsed time using minutes, hours, days, and weeks.
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40821 40862 40863
40864
|
| 3 |
Time Schedules-Interpret time schedules using minutes, hours, days, and weeks.
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40937 40938 41148
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Chapter -"Customary System"-Use the customary system of measurement to understand the attributes of length, weight, capacity, and temperature and apply appropriate measuring techniques.
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| 1 |
Length-Define units of length. (inch, foot, yard, mile) Estimate and compare length. Measure to the nearest quarter-inch.
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40916 40917 40918
|
| 2 |
Converting Length-Convert measurements of length to new units.
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40928 40929 40930
|
| 3 |
Capacity-Define units of capacity. (cup, pint, quart, gallon) Estimate and compare capacity.
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40934 40935 40936
|
| 4 |
Converting Capacity-Convert measurements of capacity to new units.
|
40939 40940 40941
|
| 5 |
Weight-Define units of weight. (ounce, pound, ton) Estimate and compare weight.
|
40945 40946 40947
|
| 6 |
Converting Weight-Convert measurements of weight to new units.
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40951 40952 40953
|
| 7 |
Temperature-Read thermometer to nearest 2-degree interval. Compute change in temperature.
|
40954 40955 41033
|
Chapter -"Metric System"-The learner will use the metric system of measurement to understand the attributes of length, weight, capacity, and temperature and apply appropriate measuring techniques.
|
| 1 |
Length-Define units of length. (centimeter, decimeter, meter) Estimate and compare length. Measure to the nearest centimeter.
|
40962 40963
|
| 2 |
Converting Length-Convert measurements of length to new units.
|
40964 40965
40966 |
| 3 |
Capacity-Define units of capacity. (milliliter, liter) Estimate and compare capacity.
|
41009 41010
|
| 4 |
Converting Capacity-Convert measurements of capacity to new units.
|
41020 41021
|
| 5 |
Mass-Define units of mass. (gram, kilogram) Estimate and compare mass.
|
41011 41012
|
| 6 |
Converting Mass-Convert measurements of mass to new units.
|
40997
|
| 7 |
Temperature-Read thermometer to nearest 2-degree interval. Compute change in temperature.
|
41000 41001
|
Chapter -"Perimeter, Area, and Volume"-Understand the attributes of perimeter, area, and volume capacity and apply appropriate teachniques, tools, and formulas to determine measurements.
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