Number and Number Relations
1.   Factor whole numbers into primes (N-1-M) 
2.   Determine common factors and common multiples for pairs of whole numbers (N-1-M) 
3.   Find the greatest common factor (GCF) and least common multiple (LCM) for whole numbers in the context of problem-solving (N-1-M)
4.   Recognize and compute equivalent representations of fractions and decimals (i.e., halves, thirds, fourths, fifths, eighths, tenths, hundredths) (N-1-M) (N-3-M)
5.   Decide which representation (i.e., fraction or decimal) of a positive number is appropriate in a real-life situation (N-1-M) (N-5-M)
6.   Compare positive fractions, decimals, and positive and negative integers using symbols (i.e., <, =, >) and number lines (N-2-M)
7.   Read and write numerals and words for decimals through ten-thousandths (N-3-M)
8.   Demonstrate the meaning of positive and negative numbers and their opposites in real-life situations (N-3-M) (N-5-M)
9.   Add and subtract fractions and decimals in real-life situations (N-5-M) 
10.  Use and explain estimation strategies to predict computational results with positive fractions and decimals (N-6-M)
11.  Mentally multiply and divide by powers of 10 (e.g., 25/10 = 2.5; 12.56 x 100 = 1,256) (N-6-M)
12.  Divide 4-digit numbers by 2-digit numbers with the quotient written as a mixed number or a decimal (N-7-M)
13.  Use models and pictures to explain concepts or solve problems involving ratio, proportion, and percent with whole numbers (N-8-M)

Algebra
14.  Model and identify perfect squares up to 144 (A-1-M)
15.  Match algebraic equations and expressions with verbal statements and vice versa (A-1-M) (A-3-M) (A-5-M) (P-2-M)
16.  Evaluate simple algebraic expressions using substitution (A-2-M)
17.  Find solutions to 2-step equations with positive integer solutions (e.g., 3x – 5 = 13, 2x + 3x = 20) (A-2-M)

Measurement
18.  Measure length and read linear measurements to the nearest sixteenth-inch and mm (M-1-M)
19.  Calculate perimeter and area of triangles, parallelograms, and trapezoids (M-1-M)
20.  Calculate, interpret, and compare rates such as $/lb., mpg, and mph (M-1-M) (A-5-M)
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) (M-2-M) (G-1-M)
22.  Estimate perimeter and area of any 2-dimensional figure (regular and irregular) using standard units (M-2-M)
23.  Identify and select appropriate units to measure area (M-3-M)

Geometry
24.  Use mathematical terms to describe the basic properties of 3-dimensional objects (edges, vertices, faces, base, etc.) (G-2-M)
25.  Relate polyhedra to their 2-dimensional shapes by drawing or sketching their faces (G-2-M) (G-4-M)
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 (G-2-M) (G-5-M) (G-1-M)
27. Make and test predictions regarding tessellations with geometric shapes (G-3-M)
28.  Use a rectangular grid and ordered pairs to plot simple shapes and find horizontal and vertical lengths and area (G-6-M)

Data Analysis, Probability, and Discrete Math
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 (D-1-M) (D-2-M) (A-3-M)
30.  Describe and analyze trends and patterns observed in graphic displays (D-2-M)
31.  Demonstrate an understanding of precision, accuracy, and error in measurement (D-2-M) (M-2-M)
32.  Calculate and discuss mean, median, mode, and range of a set of discrete data to solve real-life problems (D-2-M)
33.  Create and use Venn diagrams with two overlapping categories to solve counting logic problems (D-3-M)
34.  Use lists, tree diagrams, and tables to determine the possible combinations from two disjoint sets when choosing one item from each set (D-4-M)
35.  Illustrate and apply the concept of complementary events (D-5-M)
36.  Apply the meaning of equally likely and equally probable to real-life situations (D-5-M) (D-6-M)

Patterns, Relations, and Functions
37.  Describe, complete, and apply a pattern of differences found in an input-output table (P-1-M) (P-2-M) (P-3-M)
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 (P-3-M) (A-4-M)

Mathematics
Grade-Level Expectations:  Grade 6

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