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Math
- Understand the concept of function, and identify important features of functions and other relations using symbolic and graphical methods where appropriate.
- Recognize linear, quadratic, exponential and other common functions in real world and mathematical situations; represent these functions with tables, verbal descriptions, symbols and graphs; solve problems involving these functions, and explain results in the original context.
- Generate equivalent algebraic expressions involving polynomials and radicals; use algebraic properties to evaluate expressions.
- Represent real world and mathematical situations using equations and inequalities involving linear, quadratic, exponential and nth root functions. Solve equations and inequalities symbolically and graphically. Interpret solutions in the original context.
- Calculate measurements of plane and solid geometric figures; know that physical measurements depend on the choice of a unit and that they are approximations.
- Construct logical arguments, based on axioms, definitions and theorems, to prove theorems and other results in geometry.
- Know and apply properties of geometric figures to solve real world and mathematical problems and to logically justify results in geometry.
- Solve real-world and mathematical geometric problems using algebraic methods.
- Display and analyze data; use various measures associated with data to draw conclusions, identify trends and describe relationships.
- Explain the uses of data and statistical thinking to draw inferences, make predictions and justify conclusions.
- Calculate probabilities and apply probability concepts to solve real-world and mathematical problems.
Minnesota Math
Grade 5: Geometry & Measurement
Describe and classify three-dimensional figures including cubes, prisms and pyramids by the number of edges, faces or vertices as well as the types of faces.
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Recognize and draw a net for a three-dimensional figure.
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Develop and use formulas to determine the area of triangles, parallelograms and figures that can be decomposed into triangles.
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Use various tools and strategies to measure the volume and surface area of objects that are shaped like rectangular prisms.
- Decompose figures to find volume
- Decompose figures to find volume (unit cubes)
- Decompose figures to find volume practice
- Measuring volume with unit cubes
- Understanding decomposing figures to find volume
- Volume in unit cubes by decomposing shape
- Volume intro
- Volume through decomposition
- Volume with unit cubes
Understand that the volume of a three-dimensional figure can be found by counting the total number of same-sized cubic units that fill a shape without gaps or overlaps. Use cubic units to label volume measurements.
- Compare volumes with unit cubes
- Decompose figures to find volume (unit cubes)
- Decompose figures to find volume practice
- Measuring volume as area times length
- Measuring volume with unit cubes
- Volume as area of base times height
- Volume formula intuition
- Volume in unit cubes by decomposing shape
- Volume intro
- Volume of rectangular prisms review
- Volume with unit cubes
Develop and use the formulas V = lwh and V = Bh to determine the volume of rectangular prisms. Justify why base area B and height h are multiplied to find the volume of a rectangular prism by breaking the prism into layers of unit cubes.
- Decompose figures to find volume
- Decompose figures to find volume practice
- Measuring volume as area times length
- Measuring volume with unit cubes
- Understanding decomposing figures to find volume
- Volume as area of base times height
- Volume formula intuition
- Volume in unit cubes by decomposing shape
- Volume of a rectangular prism
- Volume of rectangular prisms
- Volume of rectangular prisms review
- Volume of rectangular prisms with unit cubes
- Volume through decomposition
- Volume word problem: water tank
- Volume word problems