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6.NNR
Number and Number Relations
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6.1
Factor whole numbers into primes
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6.2
Determine common factors and common multiples for pairs of whole numbers
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6.3
Find the greatest common factor (GCF) and least common multiple (LCM) for whole numbers in the context of problem-solving
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6.4
Recognize and compute equivalent representations of fractions and decimals (i.e., halves, thirds, fourths, fifths, eighths, tenths, hundredths)
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6.5
Decide which representation (i.e., fraction or decimal) of a positive number is appropriate in a real-life situation
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6.6
Compare positive fractions, decimals, and positive and negative integers using symbols (i.e., <, =, >) and number lines
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6.7
Read and write numerals and words for decimals through ten-thousandths
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6.8
Demonstrate the meaning of positive and negative numbers and their opposites in reallife situations
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6.9
Add and subtract fractions and decimals in real-life situations
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6.10
Use and explain estimation strategies to predict computational results with positive fractions and decimals
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6.11
Mentally multiply and divide by powers of 10 (e.g., 25/10 = 2.5; 12.56 x 100 = 1,256)
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6.12
Divide 4-digit numbers by 2-digit numbers with the quotient written as a mixed number or a decimal
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6.13
Use models and pictures to explain concepts or solve problems involving ratio, proportion, and percent with whole numbers
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6.ALG
Algebra
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6.14
Model and identify perfect squares up to 144
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6.15
Match algebraic equations and expressions with verbal statements and vice versa
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6.16
Evaluate simple algebraic expressions using substitution
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6.17
Find solutions to 2-step equations with positive integer solutions (e.g., 3x - 5 = 13, 2x + 3x = 20)
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6.MEA
Measurement
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6.18
Measure length and read linear measurements to the nearest sixteenth-inch and mm
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6.19
Calculate perimeter and area of triangles, parallelograms, and trapezoids
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6.20
Calculate, interpret, and compare rates such as $/lb., mpg, and mph
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6.21
Demonstrate an intuitive sense of relative sizes of common units for length and area of familiar objects in real-life problems (e.g., estimate the area of a desktop in square feet, the average adult is between 1.5 and 2 meters tall)
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6.22
Estimate perimeter and area of any 2-dimensional figure (regular and irregular) using standard units
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6.23
Identify and select appropriate units to measure area
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6.GEO
Geometry
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6.24
Use mathematical terms to describe the basic properties of 3-dimensional objects (edges, vertices, faces, base, etc.)
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6.25
Relate polyhedra to their 2-dimensional shapes by drawing or sketching their faces
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6.26
Apply concepts, properties, and relationships of points, lines, line segments, rays, diagonals, circles, and right, acute, and obtuse angles and triangles in real-life situations, including estimating sizes of angles
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6.27
Make and test predictions regarding tessellations with geometric shapes
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6.28
Use a rectangular grid and ordered pairs to plot simple shapes and find horizontal and vertical lengths and area
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6.DAPDM
Data Analysis, Probability, and Discrete Math
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6.29
Collect, organize, label, display, and interpret data in frequency tables, stem-and-leaf plots, and scatter plots and discuss patterns in the data verbally and in writing
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6.30
Describe and analyze trends and patterns observed in graphic displays
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6.31
Demonstrate an understanding of precision, accuracy, and error in measurement
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6.32
Calculate and discuss mean, median, mode, and range of a set of discrete data to solve real-life problems
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6.33
Create and use Venn diagrams with two overlapping categories to solve counting logic problems
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6.34
Use lists, tree diagrams, and tables to determine the possible combinations from two disjoint sets when choosing one item from each set
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6.35
Illustrate and apply the concept of complementary events
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6.36
Apply the meaning of equally likely and equally probable to real-life situations
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6.PRF
Patterns, Relations, and Functions
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6.37
Describe, complete, and apply a pattern of differences found in an input-output table
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6.38
Describe patterns in sequences of arithmetic and geometric growth and now-next relationships (i.e., growth patterns where the next term is dependent on the present term) with numbers and figures
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