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MD.MA.5.G.Geometry (G)
Geometry (G)
5.G.A. Graph points on the coordinate plane to solve real- world and mathematical problems.
5.G.A.1. Additional Standard: 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 orde
5.G.A.1.1. See the skills and knowledge that are stated in the standard.
Quiz, Flash Cards, Worksheet, Game & Study GuidePlot Points
Quiz, Flash Cards, Worksheet, Game & Study GuidePlotting Points
5.G.A.2. Additional Standard: Represent real-world 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.
5.G.A.2.1. See the skills and knowledge that are stated in the standard.
Quiz, Flash Cards, Worksheet, Game & Study GuidePlot Points
Quiz, Flash Cards, Worksheet, Game & Study GuidePlotting Points
5.G.B. Classify two-dimensional figures into categories based on their own properties.
5.G.B.3. Additional Standard: 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 r
5.G.B.3.1. Knowledge of classifying two dimensional figures; see relationships among the attributes of two-dimensional figures.
Quiz, Flash Cards, Worksheet, Game & Study GuideShapes
MD.MA.5.MD.Measurement and Data (MD)
Measurement and Data (MD)
5.MD.A. Convert like measurement units within a given measurement system.
5.MD.A.1. Supporting Standard: 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.
5.MD.A.1.1. Ability to convert measurements within the same measurement system (Metric and Customary) (4.MD.A.1).
Quiz, Flash Cards, Worksheet, Game & Study GuideMeasurement
Quiz, Flash Cards, Worksheet, Game & Study GuideVolume/Capacity
5.MD.B. Represent and interpret data.
5.MD.B.2. Supporting Standard: Make a line plot to display a data set of measurements in fractions of a unit (1/2, 1/4, 1/8); Use operations for this grade to solve problems involving information presented in line plots. For example, given different measurements of
5.MD.B.2.2. Ability to use equivalent fractions to add and subtract fractions (5.NF.A.1 and 2).
5.MD.C. Geometric measurement: understand concepts of volume and relate volume to multiplication and to addition.
5.MD.C.3. Major Standard: Recognize volume as an attribute of solid figures and understand concepts of volume measurement: A) A cube with side lengths 1 unit, called a “unit cube”, is said to have “one cubic unit” of volume, and can be used to measure volume; B) A
5.MD.C.3.1. Ability to understand that volume introduces a third dimension to figures.
Quiz, Flash Cards, Worksheet, Game & Study GuideVolume
Quiz, Flash Cards, Worksheet, Game & Study GuideVolume/Capacity
5.MD.C.3.2. Ability to understand the differences in liquid volume and solid volume. Liquid volume (4.MD.A.2) fills the three dimension space of a container and takes the shape of the container. Solid volume fills the space of a three-dimensional container by packing
Quiz, Flash Cards, Worksheet, Game & Study GuideMeasurement
Quiz, Flash Cards, Worksheet, Game & Study GuideMeasurement
Quiz, Flash Cards, Worksheet, Game & Study GuideUnits of Measure
Quiz, Flash Cards, Worksheet, Game & Study GuideVolume
Quiz, Flash Cards, Worksheet, Game & Study GuideVolume/Capacity
5.MD.C.3.3. Knowledge that solid units are composed of 1 unit by 1 unit by 1. It called a cubic unit and it is the standard measure for finding volume.
Quiz, Flash Cards, Worksheet, Game & Study GuideVolume
Quiz, Flash Cards, Worksheet, Game & Study GuideVolume/Capacity
5.MD.C.3.4. Ability to find the total volume of a solid figure by packing a solid figure with cubic inches or centimeters, without gaps or overlaps, and then counting the cubic units to find the total volume (Does not ‘fill’ a container randomly with cubic units).
Quiz, Flash Cards, Worksheet, Game & Study GuideVolume
Quiz, Flash Cards, Worksheet, Game & Study GuideVolume/Capacity
5.MD.C.4. Major Standard: Measure volumes by counting unit cubes, using cubic cm, cubic in, cubic ft, and improvised units.
5.MD.C.4.1. Ability to pack unit cubes without gaps or overlaps into right rectangular prisms and count the cubes to determine the volume.
Quiz, Flash Cards, Worksheet, Game & Study GuideVolume
5.MD.C.4.2. Understand that the volume of a right rectangular prism can be found by first packing the container with cubes to making rows to create layers (an array of rows and columns that pack the container without gaps or overlaps).
Quiz, Flash Cards, Worksheet, Game & Study GuideVolume
5.MD.C.5a. Major Standard: Relate volume to the operations of multiplication and addition, and solve real-world and mathematical problems involving volume – Find the volume of a right rectangular prism with whole-number side lengths by packing it with unit cubes, an
5.MD.C.5a.1. Apply multiplicative reasoning to determine volume, looking for and making use of previously learned structure for finding volume using unit cubes in iterated layers. Use multiplication to find the area of the base of the container (length and width = 1 l
Quiz, Flash Cards, Worksheet, Game & Study GuideVolume
5.MD.C.5a.2. Ability to understand the height of the prism tells how many layers will fit in the prism.
Quiz, Flash Cards, Worksheet, Game & Study GuideVolume
Quiz, Flash Cards, Worksheet, Game & Study GuideVolume/Capacity
5.MD.C.5a.3. Ability to represent three fold whole-number product as volume to represent the associative property (Volume is a derived attribute once length is specified; it can be computed as the product of three length measurements or as the product of one area and
Quiz, Flash Cards, Worksheet, Game & Study GuideVolume
5.MD.C.5b. Major Standard: Relate volume to the operations of multiplication and addition, and solve real-world and mathematical problems involving volume – Apply the formulas V = (l)(w)(h) and V = (b)(h) for rectangular prisms to find volumes of right rectangular p
5.MD.C.5b.3. Ability to find the volume of a figure with an unknown dimension.
Quiz, Flash Cards, Worksheet, Game & Study GuideVolume
MD.MA.5.NBT.Number and Operations in Base Ten (NBT)
Number and Operations in Base Ten (NBT)
5.NBT.A. Understand the place value system.
5.NBT.A.1. Major Standard: 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.NBT.A.1.1. Ability to identify place value of individual digits in a multi-digit whole number (4.NBT.A.1 and 2).
5.NBT.A.1.2. Ability to describe the relationship between decimal fractions and decimal notation (4.NBT.C.5, 6, 7) – grade 4 to hundredths, grade 5 to thousandths.
5.NBT.A.1.4. Ability to reason about the magnitude of whole numbers, decimals, and decimal fractions (Identify which digit is 10 times, 100 times, or 1/10, 1/100, etc. of another digit).
5.NBT.A.2. Major Standard: 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 exponen
5.NBT.A.2.1. Knowledge of exponents with powers of 10.
5.NBT.A.2.2. Knowledge of when dividing by powers of 10, the exponent above the 10 indicates how many places the decimal point is moving (how many times we are dividing by 10, the number because ten time smaller). When dividing by 10, the decimal point moves to the le
5.NBT.A.3a. Major Standard: Read, write, and compare decimals to thousandths (builds on grade 4 work to hundredths) – Read and write decimals to thousandths using base-ten numerals, number names, and expanded form, e.g. 347.392 = 3x100+4x10+7x1+3x(1/10)+9x(1/100)+2x(
5.NBT.A.3a.1. See the skills and knowledge that are stated in the standard.
5.NBT.A.3b. Major Standard: Read, write, and compare decimals to thousandths (builds on grade 4 work to hundredths) – Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and < symbols to record the results of compariso
5.NBT.A.3b.1. See the skills and knowledge that are stated in the standard.
5.NBT.A.4. Major Standard: Use place value understanding to round decimals to any place.
Quiz, Flash Cards, Worksheet, Game & Study GuideRounding
5.NBT.B. Perform operations with multi-digit whole numbers and with decimals to hundredths.
5.NBT.B.4. Major Standard: Use place value understanding to round decimals to any place.
5.NBT.B.4.1. Ability to reason and explain the answers to a problem that requires rounding using knowledge of place value and number sense.
Quiz, Flash Cards, Worksheet, Game & Study GuideRounding
5.NBT.B.4.2. Ability to identify two possible answers and use understanding of place value to compare the given number to the possible answers to round to any place.
Quiz, Flash Cards, Worksheet, Game & Study GuideMultiplication
Quiz, Flash Cards, Worksheet, Game & Study GuideOdd/Even
5.NBT.B.5.2. Select and use accurate and efficient methods to compute such as mental math, properties of multiplication, decomposing/composing numbers, (as they transition to the standard algorithm).
Quiz, Flash Cards, Worksheet, Game & Study GuideMultiplication
Quiz, Flash Cards, Worksheet, Game & Study GuideMultiplication
Quiz, Flash Cards, Worksheet, Game & Study GuideOdd/Even
5.NBT.B.6. Major Standard: 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. Illustra
5.NBT.B.6.1. Accurate recall of division facts and multiplication facts.
5.NBT.B.6.2. Ability to use a variety of strategies to find whole number quotients such as, relationship between multiplication and division, properties of operations, place value, etc.
Quiz, Flash Cards, Worksheet, Game & Study GuideDivision
Quiz, Flash Cards, Worksheet, Game & Study GuideDivision
5.NBT.B.7. Major Standard: 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
5.NBT.B.7.1. Ability to use concrete models and pictorial representations to perform operations with decimals to hundredths.
5.NF.A. Use equivalent fractions as a strategy to add and subtract fractions.
5.NF.A.1. Major Standard: 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.
5.NF.A.1.1. Knowledge of understanding of addition and subtraction of fractions with like denominators and unit fractions from grade 4 (4.NF.B.3.a-d).
5.NF.A.2. Major Standard: Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions a
5.NF.A.2.1. Knowledge of understanding addition and subtraction of fractions as joining and separating parts referring to the same whole (4.NF.A.3a).
Quiz, Flash Cards, Worksheet, Game & Study GuideAdding Fractions
5.NF.B. Apply and extend previous understandings of multiplication and division to multiply and divide fractions.
5.NF.B.3. Major Standard: 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 o
5.NF.B.3.1. Ability to recognize that a fraction is a representation of division.
5.NF.B.4a. Major Standard: Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction – 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
5.NF.B.4a.1. Ability to apply knowledge of multiplication of a whole numbers to multiplying fractions by a whole number as repeated addition of a unit fraction using fraction models and then equations (4.NF.B.4c).
5.NF.B.4b. Major Standard: Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction – Find the area of a rectangle with fractional side lengths by tiling it with unit squares of the appropriate unit fraction sid
5.NF.B.4b.1. Knowledge of unit fractions to multiply all fractions (4.NF.B.3a, b).
5.NF.B.5a. Major Standard: Interpret multiplication as scaling (resizing) by: 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.
5.NF.B.5a.2. Ability to reason abstractly about the magnitude of products with fractions.
5.NF.B.5b. Major Standard: Interpret multiplication as scaling (resizing) by: Explaining why multiplying a given number by a fraction greater than one results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a
5.NF.B.5b.1. Ability to understand the differences in results when multiplying whole numbers and when multiplying fractions (when multiplying a fraction greater than 1, the number increases and when multiplying by a fraction less than 1, the number decreases).
5.NF.B.6. Major Standard: Solve real-world problems involving multiplication of fractions and mixed numbers, e.g., by using visual fraction models or equations to represent the problem.
5.NF.B.6.2. Solve a variety of problems using multiplication of fractions. Include problems involving fraction by a whole number, fraction by a fraction, fraction by a mixed number, and mixed number by a mixed number.
5.NF.B.7. Major Standard: Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions. Interpret division of a unit fraction by a non-zero whole number, and compute such quotients.
5.NF.B.7.1. Students able to multiply fractions in general can develop strategies to divide fractions in general, by reasoning about the relationship between multiplication and division. But division of a fraction by a fraction is not a requirement at this grade.
5.NF.B.7a. Major Standard: Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions. Interpret division of a unit fraction by a non-zero whole number, and compute such quotients – Interpret di
5.NF.B.7a.1. Ability to demonstrate word problems when unit fractions are divided by a non-zero whole number and compute the quotient using visual fraction models.
5.NF.B.7b. Major Standard: Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions. Interpret division of a unit fraction by a non-zero whole number, and compute such quotients – Interpret di
5.NF.B.7b.1. Ability to demonstrate word problems when a whole number is divided by unit fraction and compute the quotient using visual fraction models.
5.NF.B.7b.3. Example: Create a word problem for 6 ÷ 1/8. Solve the problem and use the relationship between multiplication and division to explain your problem.
5.NF.B.7c. Major Standard: Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions. Interpret division of a unit fraction by a non-zero whole number, and compute such quotients – Solve real-w
5.NF.B.7c.1. Knowledge of the relationship between multiplication and division (4.NBT.B.6., 5.NF.B.7a and 7b).
5.NF.B.7c.2. Ability to apply all the concepts from this cluster to solve a variety of word problems involving division of a fraction by a whole number or whole number by a fraction.
5.OA.A.2. Additional Standard: 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×(8+7). Recognize that 3×(18932+92
5.OA.A.2.1. Knowledge of the term “expressions” and the difference between this term and equation.
Quiz, Flash Cards, Worksheet, Game & Study GuideWord Problems
5.OA.B. Analyze patterns and relationships.
5.OA.B.3. Additional Standard: Generate two numerical patterns using two given rules. Identify apparent relationships between corresponding terms. Form ordered pairs consisting of corresponding terms from the two patterns, and graph the ordered pairs on a coordinat
5.OA.B.3.1. Ability to generate and analyze patterns (4.OA.C.5).
Quiz, Flash Cards, Worksheet, Game & Study GuideNumber Patterns
Quiz, Flash Cards, Worksheet, Game & Study GuidePatterns
Quiz, Flash Cards, Worksheet, Game & Study GuidePatterns
5.OA.B.3.2. Knowledge that corresponding terms are used to create ordered pairs.