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Student Learning Outcomes
Students will be able to:
Place Value & Decimals
- Recognize that in a multi-digit number, a digit in the ones 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.
- Use whole-number exponents to denote powers of 10. Explain patterns in the number of zeroes 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.
- Read, write, compare, and round decimal numbers.
- Perform all four operations (addition, subtraction, multiplication, and division) with multi-digit whole numbers and decimals to the hundredth place.
Fractions
- Add and subtract fractions with unlike denominators (including mixed numbers).
- Solve word problems involving addition and subtraction of fractions referring to the same whole.
- Interpret a fraction as division of the numerator by the denominator.
- Solve word problems involving division of whole numbers leading to answers in the form of fractions and mixed numbers.
- Multiply fractions by fractions, fractions by whole numbers, and fractions by mixed numbers.
- Find the area of a rectangle with fractional side lengths by tiling it with rectangles of the appropriate unit fraction side lengths.
- Represent fraction multiplication using rectangular area models.
- Solve word problems involving multiplication of fractions and mixed numbers.
- Interpret multiplication as scaling.
- Reason about the size of a product based on the size of the factors.
- Divide whole numbers by unit fractions and unit fractions by whole numbers.
- Solve word problems involving division of whole numbers by unit fractions and unit fractions by whole numbers.
- Make a line plot to display a data set of measurements in fractions of a unit. Perform fraction computation to solve problems involving information presented in line plots.
Volume
- Recognize a unit cube as a cube with side lengths of one unit and that it is used to measure volume.
- Recognize that 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.
- Measure volume by counting unit cubes.
- Find the volume of a right rectangular prism by using the formula V = l x w x h OR V = B x h.
- Find the volume of composite figures by adding the volume of its parts.
- Solve word problems about the volume of right rectangular figures and composite figures composed of nonoverlapping right rectangular prisms.
Measurement
- Convert between large and small units within either the Metric System or the US Customary System.
- Solve multi-step word problems involving unit conversions.
Geometry
- Graph points on the coordinate plane to solve real-world and mathematical problems.
- Classify two-dimensional figures into categories based on their properties.
Operations & Algebraic Thinking
- Write and interpret numerical expressions
- Evaluate expressions using the order of operations.
- Write and interpret simple numerical expressions.
- Identify and extend a numerical pattern to generate ordered pairs.