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CT.CC.G.5.Geometry
Classify two-dimensional figures into categories based on their properties. G.5.3. Understand that attributes belonging to a category of two-dimensional figures
also belong to all subcategories of that category. For example, all rectangles have four
right angles and squares are rectangles, so all squares have four right angles. Quiz, Flash Cards, Worksheet, Game & Study Guide Area Quiz, Flash Cards, Worksheet, Game & Study Guide Shapes Quiz, Flash Cards, Worksheet, Game & Study Guide Perimeter Quiz, Flash Cards, Worksheet, Game & Study Guide Perimeter
G.5.4. Classify two-dimensional figures in a hierarchy based on properties. Quiz, Flash Cards, Worksheet, Game & Study Guide Area Quiz, Flash Cards, Worksheet, Game & Study Guide Shapes Quiz, Flash Cards, Worksheet, Game & Study Guide Perimeter Quiz, Flash Cards, Worksheet, Game & Study Guide Perimeter
Graph points on the coordinate plane to solve real-world and mathematical problems. G.5.1. 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. 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). Quiz, Flash Cards, Worksheet, Game & Study Guide Coordinates Quiz, Flash Cards, Worksheet, Game & Study Guide Coordinates Quiz, Flash Cards, Worksheet, Game & Study Guide Plot Points
G.5.2. Represent real world and mathematical problems by graphing points in the first
quadrant of the coordinate plane, and interpret coordinate values of points in the context
of the situation. Quiz, Flash Cards, Worksheet, Game & Study Guide Coordinates Quiz, Flash Cards, Worksheet, Game & Study Guide Coordinates Quiz, Flash Cards, Worksheet, Game & Study Guide Plot Points
CT.CC.MD.5.Measurement and Data
Geometric measurement: understand concepts of volume and relate volume to
multiplication and to addition. MD.5.3. Recognize volume as an attribute of solid figures and understand concepts of
volume measurement. MD.5.3(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. Quiz, Flash Cards, Worksheet, Game & Study Guide Volume
MD.5.3(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. Quiz, Flash Cards, Worksheet, Game & Study Guide Volume
MD.5.4. Measure volumes by counting unit cubes, using cubic cm, cubic in, cubic ft, and
improvised units. Quiz, Flash Cards, Worksheet, Game & Study Guide Volume
MD.5.5. Relate volume to the operations of multiplication and addition and solve real
world and mathematical problems involving volume. MD.5.5(a) Find the volume of a right rectangular prism with whole-number side lengths
by packing it with unit cubes, and show that the volume is the same as would be found by
multiplying the edge lengths, equivalently by multiplying the height by the area of the
base. Represent threefold whole-number products as volumes, e.g., to represent the
associative property of multiplication. Quiz, Flash Cards, Worksheet, Game & Study Guide Volume
MD.5.5(b) Apply the formulas V = l x w x h and V = b x h for rectangular prisms to find
volumes of right rectangular prisms with whole-number edge lengths in the context of
solving real world and mathematical problems. Quiz, Flash Cards, Worksheet, Game & Study Guide Volume
Convert like measurement units within a given measurement system.MD.5.1. Convert among different-sized standard measurement units within a given
measurement system (e.g., convert 5 cm to 0.05 m), and use these conversions in solving
multi-step, real world problems. Quiz, Flash Cards, Worksheet, Game & Study Guide Measurement
CT.CC.NBT.5.Number and Operations in Base Ten
Number and Operations in Base Ten
Perform operations with multi-digit whole numbers and with decimals to hundredths. NBT.5.5. Fluently multiply multi-digit whole numbers using the standard algorithm. Quiz, Flash Cards, Worksheet, Game & Study Guide Division Quiz, Flash Cards, Worksheet, Game & Study Guide Odd/Even
NBT.5.6. Find whole-number quotients of whole numbers with up to four-digit dividends and
two-digit divisors, using strategies based on place value, the properties of operations,
and/or the relationship between multiplication and division. Illustrate and explain the
calculation by using equations, rectangular arrays, and/or area models. Quiz, Flash Cards, Worksheet, Game & Study Guide Division Quiz, Flash Cards, Worksheet, Game & Study Guide Division
NBT.5.7. Add, subtract, multiply, and divide decimals to hundredths, using concrete models
or drawings and strategies based on place value, properties of operations, and/or the
relationship between addition and subtraction; relate the strategy to a written method and
explain the reasoning used.
Understand the place value system.NBT.5.1. 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. Quiz, Flash Cards, Worksheet, Game & Study Guide Place Value Quiz, Flash Cards, Worksheet, Game & Study Guide Place Value
NBT.5.2. 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. Use whole-number exponents to denote powers of
10.
NBT.5.3. Read, write, and compare decimals to thousandths.NBT.5.3(a) Read and write decimals to thousandths using base-ten numerals, number names,
and expanded form, e.g., 347.92 = 3 x 100 + 4 x 10 + 7 x 1 + 3 x (1/10) + 9 x (1/100) +
2 x (1/1000). Quiz, Flash Cards, Worksheet, Game & Study Guide Decimals
NBT.5.3(b) Compare two decimals to thousandths based on meanings of the digits in each
place, using >, =, and <. symbols to record the results of comparisons.
NBT.5.4. Use place value understanding to round decimals to any place.Quiz, Flash Cards, Worksheet, Game & Study Guide Rounding
CT.CC.NF.5.Number and Operations--Fractions
Number and Operations--Fractions
Apply and extend previous understandings of multiplication and division to multiply
and divide fractions. NF.5.3. Interpret a fraction as division of the numerator by the denominator (a/b = a /
b). Solve word problems involving division of whole numbers leading to answers in the form
of fractions or mixed numbers, e.g., by using visual fraction models or equations to
represent the problem. For example, interpret 3/4 as the result of dividing 3 by 4, noting
that 3/4 multiplied by 4 equals 3, and that when 3 wholes are shared equally among 4 people
each person has a share of size 3/4. If 9 people want to share a 50-pound sack of rice
equally by weight, how many pounds of rice should each person get? Between what two whole
numbers does your answer lie? Quiz, Flash Cards, Worksheet, Game & Study Guide Fractions Quiz, Flash Cards, Worksheet, Game & Study Guide Number Line Quiz, Flash Cards, Worksheet, Game & Study Guide Probability Quiz, Flash Cards, Worksheet, Game & Study Guide Probability
NF.5.4. Apply and extend previous understandings of multiplication to multiply a fraction
or whole number by a fraction. NF.5.4(a) Interpret the product (a/b) x q as a parts of a partition of q into b equal
parts; equivalently, as the result of a sequence of operations a x q / b. For example,
use a visual fraction model to show (2/3) x 4 = 8/3, and create a story context for this
equation. Do the same with (2/3) x (4/5) = 8/15. (In general, (a/b) x (c/d) = ac/bd.)
NF.5.4(b) Find the area of a rectangle with fractional side lengths by tiling it with
unit squares of the appropriate unit fraction side lengths, and show that the area is
the same as would be found by multiplying the side lengths. Multiply fractional side
lengths to find areas of rectangles, and represent fraction products as rectangular
areas.
NF.5.5. Interpret multiplication as scaling (resizing), by:NF.5.5(a) Comparing the size of a product to the size of one factor on the basis of the
size of the other factor, without performing the indicated multiplication.
NF.5.6. Solve real world problems involving multiplication of fractions and mixed
numbers, e.g., by using visual fraction models or equations to represent the problem.
NF.5.7. Apply and extend previous understandings of division to divide unit fractions by
whole numbers and whole numbers by unit fractions. NF.5.7(a) Interpret division of a unit fraction by a non-zero whole number, and compute
such quotients. For example, create a story context for (1/3) / 4, and use a visual
fraction model to show the quotient. Use the relationship between multiplication and
division to explain that (1/3) / 4 = 1/12 because (1/12) x 4 = 1/3.
NF.5.7(b) Interpret division of a whole number by a unit fraction, and compute such
quotients. For example, create a story context for 4 / (1/5), and use a visual fraction
model to show the quotient. Use the relationship between multiplication and division to
explain that 4 / (1/5) = 20 because 20 x (1/5) = 4.
NF.5.7(c) Solve real world problems involving division of unit fractions by non-zero
whole numbers and division of whole numbers by unit fractions, e.g., by using visual
fraction models and equations to represent the problem. For example, how much chocolate
will each person get if 3 people share 1/2 lb of chocolate equally? How many 1/3-cup
servings are in 2 cups of raisins?
Use equivalent fractions as a strategy to add and subtract fractions.NF.5.1. Add and subtract fractions with unlike denominators (including mixed numbers) by
replacing given fractions with equivalent fractions in such a way as to produce an
equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 =
8/12 + 15/12 = 23/12. (In general, a/b + c/d = (ad + bc)/bd.)
CT.CC.OA.5.Operations and Algebraic Thinking
Operations and Algebraic Thinking
Write and interpret numerical expressions.OA.5.1. Use parentheses, brackets, or braces in numerical expressions, and evaluate
expressions with these symbols.
OA.5.2. 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). Recognize that 3 x (18932 + 921) is three times
as large as 18932 + 921, without having to calculate the indicated sum or product.