In Grade 5, instructional time should focus on three critical areas: (1) developing fluency with addition and subtraction of fractions, and developing understanding of the multiplication of fractions and of division of fractions in limited cases (unit fractions divided by whole numbers and whole numbers divided by unit fractions); (2) extending division to 2-digit divisors, integrating decimal fractions into the place value system and developing understanding of operations with decimals to hundredths, and developing fluency with whole number and decimal operations; and (3) developing understanding of volume.
Graph points on the coordinate plane to solve real-world and mathematical problems.
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).
| Content | Skills | Learning Targets | Big Ideas | Essential Questions |
|---|---|---|---|---|
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Coordinate System
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3 - Use (Pair of perpendicular number lines called axes)
2 - Define (Coordinate system, axis, origin, coordinates)
2 - Understand (Relationship between ordered pairs, x-axis, x-coordinate, y-axis, y-coordinate)
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3 - I can use a pair of perpendicular number lines, or axes, to form a coordinate plane.
2 - I can define a coordinate system using the definitions of axis, origin, and coordinates.
2 - I can understand the relationship between ordered pairs and the x-axis, x-coordinate, y-axis, and y-coordinate.
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A. To use a coordinate plane, one must understand how to use ordered pairs.
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A.1 What are the features of a coordinate plane? How do you make a coordinate plane?
A.2 How can points be plotted on a coordinate plane?
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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.
| Content | Skills | Learning Targets | Big Ideas | Essential Questions |
|---|---|---|---|---|
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Coordinate Plane
Problems
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2 - Represent (Real-world and mathematical problems, coordinate plane)
3 - Graph (Points, first quadrant, coordinate plane)
3 - Interpret (Coordinate values of points, situational context)
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2 - I can represent real-world and mathematical problems with the first quadrant of the coordinate plane.
3 - I can graph points in the first quadrant of the coordinate plane.
3 - I can interpret coordinate values of points in the context of the situation.
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A. By graphing points and interpreting their values on a coordinate plane, real-world and mathematical problems can be solved.
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A.1 What is a coordinate plane? How can real-world and mathematical problems be solved using a coordinate plane?
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Classify two-dimensional figures into categories based on their properties.
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.
| Content | Skills | Learning Targets | Big Ideas | Essential Questions |
|---|---|---|---|---|
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Two-Dimensional Figures
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2 - Understand (Two- dimensional figure category attributes are the same for its subcategories)
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2 - I can understand that attributes belonging to a two-dimensional figure category also belong to all subcategories of that category.
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A. Attributes belonging to a category of two-dimensional figures also belong to all subcategories of that category.
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A.1 How do attributes belonging to a category of two-dimensional figures also belong to all subcategories of that category?
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Classify two-dimensional figures in a hierarchy based on properties.
| Content | Skills | Learning Targets | Big Ideas | Essential Questions |
|---|---|---|---|---|
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Two-Dimensional Figures
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3 - Classify (Two-dimensional figures in a hierarchy)
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3 - I can classify two-dimensional figures in a hierarchy based on properties.
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A. Two-dimensional figures can be classified in a hierarchy based on their properties.
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A.1 What is a hierarchy?
A.2 How can two-dimensional figures be classified in a hierarchy?
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