Basic V1--5th grade West Virginia Department of Education's goals and objectives for teaching mathematics.

 Prompt

Create a list of 5th grade West Virginia Department of Education's goals and objectives for teaching mathematics.

 

Results

 

 Okay, here is a list of goals and objectives for 5th-grade mathematics, based on the West Virginia College- and Career-Readiness Standards (which align closely with Common Core). These are typically organized by mathematical domains.

Note: The WVDE standards document uses specific codes (e.g., M.5.OA.1). These objectives are paraphrased for clarity but directly reflect the intent of those standards. The overarching "Goal" for each section is implied by the cluster of objectives within it.

1. Domain: Operations and Algebraic Thinking (OAT)

• Goal: Understand and use numerical expressions and analyze patterns and relationships.

• Objectives: Students will be able to:

  • Use parentheses, brackets, or braces in numerical expressions and evaluate expressions containing these symbols. (M.5.OA.1)

  • Write simple numerical expressions that record calculations with numbers, and interpret numerical expressions without necessarily evaluating them (e.g., recognize that 3 × (18932 + 921) is three times as large as 18932 + 921). (M.5.OA.2)

  • 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 coordinate plane. (M.5.OA.3)

2. Domain: Number and Operations in Base Ten (NBT)

• Goal: Understand the place value system and perform operations with multi-digit whole numbers and decimals to hundredths.

• Objectives: Students will be able to:

  • 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. (M.5.NBT.1)

  • 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. (M.5.NBT.2)

  • Read, write, and compare decimals to thousandths using base-ten numerals, number names, and expanded form. Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and < symbols. (M.5.NBT.3)

  • Use place value understanding to round decimals to any place. (M.5.NBT.4)

  • Fluently multiply multi-digit whole numbers using the standard algorithm. (M.5.NBT.5)

  • Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation using equations, rectangular arrays, and/or area models. (M.5.NBT.6)

  • 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. (M.5.NBT.7)

3. Domain: Number and Operations—Fractions (NF)

• Goal: Use equivalent fractions as a strategy to add and subtract fractions, and apply previous understandings of multiplication and division to multiply and divide fractions.

• Objectives: Students will be able to:

  • Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions to produce an equivalent sum or difference with like denominators. (M.5.NF.1)

  • Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense to estimate mentally and assess reasonableness. (M.5.NF.2)

  • 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. (M.5.NF.3)

  • Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction. (M.5.NF.4)

  • Interpret multiplication as scaling (resizing) by comparing the size of a product to the size of one factor based on the size of the other factor, without performing the indicated multiplication. Explain why multiplying by a fraction greater/less than 1 results in a product greater/less than the given number. (M.5.NF.5)

  • Solve real-world problems involving multiplication of fractions and mixed numbers, using visual fraction models or equations. (M.5.NF.6)

  • Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions. (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.) (M.5.NF.7)

4. Domain: Measurement and Data (MD)

• Goal: Convert measurement units, represent and interpret data, and understand concepts of volume.

• Objectives: Students will be able to:

  • 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. (M.5.MD.1)

  • Make a line plot to display a data set of measurements in fractions of a unit (1/2, 1/4, 1/8). Use operations on fractions for this grade to solve problems involving information presented in line plots. (M.5.MD.2)

  • Recognize volume as an attribute of solid figures and understand concepts of volume measurement (a unit cube, packing without gaps/overlaps). (M.5.MD.3)

  • Measure volumes by counting unit cubes, using cubic cm, cubic in, cubic ft, and improvised units. (M.5.MD.4)

  • 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. Find volumes of solid figures composed of non-overlapping right rectangular prisms. (M.5.MD.5)

5. Domain: Geometry (G)

• Goal: Graph points on the coordinate plane and classify two-dimensional figures based on their properties.

• Objectives: Students will be able to:

  • Use a pair of perpendicular number lines (axes) to define a coordinate system, with the intersection (origin) arranged to coincide with 0 on each line and a given point located by using an ordered pair of numbers (coordinates). Understand that the first number indicates horizontal distance and the second number indicates vertical distance from the origin. (M.5.G.1)

  • 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. (M.5.G.2)

  • Understand that attributes belonging to a category of two-dimensional figures also belong to all subcategories of that category (e.g., all rectangles have four right angles and squares are rectangles, so all squares have four right angles). (M.5.G.3)

  • Classify two-dimensional figures in a hierarchy based on properties (e.g., classify triangles based on side lengths/angles, classify quadrilaterals based on properties of sides/angles). (M.5.G.4)

This list provides a comprehensive overview of the key mathematical skills and concepts expected of 5th graders according to WVDE standards. For the exact wording and further details, always refer to the official WVDE curriculum documents.