1.1: The decimal number system describes place value patterns and relationships that are repeated in large and small numbers and forms the foundation for efficient algorithms
1.1.b: Students can: Read, write, and compare decimals to thousandths.
1.1.b.i: Read and write decimals to thousandths using base-ten numerals, number names, and expanded form.
1.1.b.ii: Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons.
1.1.d: Students can: Convert like measurement units within a given measurement system.
1.1.d.i: Convert among different-sized standard measurement units within a given measurement system.
1.2: Formulate, represent, and use algorithms with multi-digit whole numbers and decimals with flexibility, accuracy, and efficiency
1.2.a: Students can: Fluently multiply multi-digit whole numbers using standard algorithms.
1.2.b: Students can: Find whole-number quotients of whole numbers.
1.2.b.ii: Illustrate and explain calculations by using equations, rectangular arrays, and/or area models.
1.2.c: Students can: Add, subtract, multiply, and divide decimals to hundredths.
1.2.c.i: Use concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction.
1.2.c.ii: Relate strategies to a written method and explain the reasoning used.
1.2.d: Students can: Write and interpret numerical expressions.
1.2.d.i: Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols.
1.3: Formulate, represent, and use algorithms to add and subtract fractions with flexibility, accuracy, and efficiency
1.3.a: Students can: Use equivalent fractions as a strategy to add and subtract fractions.
1.3.a.ii: Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions with like denominators.
1.3.a.iii: Solve word problems involving addition and subtraction of fractions referring to the same whole.
1.4: The concepts of multiplication and division can be applied to multiply and divide fractions
1.4.a: Students can: Interpret a fraction as division of the numerator by the denominator (a/b = a ÷ b).
2.1: Number patterns are based on operations and relationships
2.1.a: Students can: Generate two numerical patterns using given rules.
2.1.b: Students can: Identify apparent relationships between corresponding terms.
2.1.c: Students can: Form ordered pairs consisting of corresponding terms from the two patterns, and graphs the ordered pairs on a coordinate plane.
2.1.f: Students can: Explain, extend, and use patterns and relationships in solving problems, including those involving saving and checking accounts such as understanding that spending more means saving less.
4.1: Properties of multiplication and addition provide the foundation for volume an attribute of solids.
4.1.a: Students can: Model and justify the formula for volume of rectangular prisms.
4.1.a.i: Model the volume of a right rectangular prism with whole-number side lengths by packing it with unit cubes.
4.1.a.ii: Show that the volume is the same as would be found by multiplying the edge lengths, equivalently by multiplying the height by the area of the base.
4.1.b: Students can: Find volume of rectangular prisms using a variety of methods and use these techniques to solve real world and mathematical problems.
4.1.b.ii: Apply the formulas V = l × w × h and V = b × h for rectangular prisms to find volumes of right rectangular prisms with whole-number edge lengths.
4.2: Geometric figures can be described by their attributes and specific locations in the plane
4.2.a: Students can: Graph points on the coordinate plane to solve real-world and mathematical problems.
4.2.b: Students can: 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.
4.2.c: Students can: Classify two-dimensional figures into categories based on their properties.
4.2.c.i: Explain that attributes belonging to a category of two-dimensional figures also belong to all subcategories of that category.
4.2.c.ii: Classify two-dimensional figures in a hierarchy based on properties.
Correlation last revised: 1/22/2020