5.M.NBT.A.01: The Highly Proficient student can recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left.
5.M.NBT.A.02: The Highly Proficient student can explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. The Highly Proficient student can use whole-number exponents to denote powers of 10.
5.M.NBT.A.03: The Highly Proficient student can read, write, and compare decimals to the thousandths place value using rounding strategies.
5.M.NBT.A.04: The Highly Proficient student can round decimals to the thousandths place value using rounding strategies in real world situations. The Highly Proficient student can write numbers in expanded form.
5.M.NBT.B.05: The Highly Proficient student can fluently multiply multi-digit whole numbers in real-world mathematical contexts using a standard algorithm.
5.M.NBT.B.06: The Highly Proficient student can use multiplication to find multi-digit whole number quotients of multi-digit whole numbers.
5.M.NBT.B.07: The Highly Proficient student can add, subtract, multiply and divide decimals to hundredths place using models or drawings in real world situations and explain their reasoning.
5.M.NF.A.01: The Highly Proficient student can add or subtract at least three or more fractions with unlike denominators including mixed numbers and use a model.
5.M.NF.A.02: The Highly Proficient student can solve word problems involving adding and subtracting three or more fractions with unlike denominators, including mixed numbers.
5.M.NF.B.03: The Highly Proficient students can create his or her own model to demonstrate division of whole numbers with answers in the form of fractions.
5.M.NF.B.04a: The Highly Proficient student can interpret the product (a/b) × q as a parts of a partition of q into b equal parts; equivalently, as the result of a sequence of operations a × q ÷ b. For example, use a visual fraction model to show (2/3) × 4 = 8/3, and create a story context for this equation. Do the same with (2/3) × (4/5) = 8/15. (In general, (a/b) × (c/d) = ac/bd.).
5.M.NF.B.05: The Highly Proficient student can interpret multiplication as scaling by comparing the size of the product to the size of one factor.
5.M.NF.B.06: The Highly Proficient students can solve real world word problems involving multiplication of fractions and mixed numbers.
5.M.NF.B.07: The Highly Proficient student can create and solve real world division problems with fractions and mixed numbers and represent problems with visual models.
5.M.G.A.01: The Highly Proficient student can use a pair of perpendicular number lines, called axes, to define a coordinate system, with the intersection of the lines (the origin) arranged to coincide with the 0 on each line and a given point in the plane located by using an ordered pair of numbers, called its coordinates. The Highly Proficient student can understand that the first number indicates how far to travel from the origin in the direction of one axis, and the second number indicates how far to travel in the direction of the second axis, with the convention that the names of the two axes and the coordinates correspond (e.g., x‐ axis and x‐coordinate, y‐axis and y‐coordinate).
5.M.G.A.02: The Highly Proficient student can use real-world data to create a representation and draw conclusions based on the data presented.
5.M.G.B.03: The Highly Proficient student can draw or construct specific two-dimensional figures according to its definitions, attributes, or categories.
5.M.G.B.04: The Highly Proficient student can classify two-dimensional figures in the hierarchy based on properties.
5.M.MD.C.03: The Highly Proficient student can recognize volume as an attribute of solid figures and understand concepts of volume measurement. a. A cube with side length 1 unit, called a “unit cube,” is said to have “one cubic unit” of volume, and can be used to measure volume. b. A solid figure which can be packed without gaps or overlaps using n unit cubes is said to have a volume of n cubic units.
5.M.MD.C.04: The Highly Proficient student can measure volumes by counting unit cubes, using cubic cm, cubic in, cubic ft, and improvised units.
5.M.MD.C.05: The Highly Proficient student can compare the volumes of different rectangular prisms and create real world mathematical situations involving volume.
5.M.NF.B.04b: The Highly Proficient student can find the area of a rectangle with fractional sides by creating a real world model to demonstrate reasoning and scaling.
5.M.OA.A.01: The Highly Proficient student can insert parentheses, brackets, or braces in a numerical expression to make a statement true.
5.M.OA.A.02: The Highly Proficient student can write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them. For example, express the calculation “add 8 and 7, then multiply by 2” as 2 x (8 + 7). The Highly Proficient student can recognize that 3 x (18932 +921) is three times as large as 18932 + 921, without having to calculate the indicated sum or product.
5.M.OA.B.03: The Highly Proficient student can generate two numerical patterns using two multi-step rules and explain their relationships between corresponding terms.
5.M.MD.A.01: The Highly Proficient student can create and solve real world, word problems and choose the appropriate measurement.
5.M.MD.B.02: The Highly Proficient student can create a line plot to display data and solve word problems involving line plot to interpret the solution as data.