Math resources |
Cluster 1: Creating Classroom Community through Data and Graphing
NC.5.MD.2
Represent and interpret data.
● Collect data by asking a question that yields data that changes over time.
● Make and interpret a representation of data using a line graph.
● Determine whether a survey question will yield categorical or numerical data, or data that changes over time.
NC.5.G.1
Graph points in the first quadrant of a coordinate plane, and identify and interpret the x and y coordinates to solve problems.
NC.5.OA.3
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.
● Graph the ordered pairs on a coordinate plane.
Represent and interpret data.
● Collect data by asking a question that yields data that changes over time.
● Make and interpret a representation of data using a line graph.
● Determine whether a survey question will yield categorical or numerical data, or data that changes over time.
NC.5.G.1
Graph points in the first quadrant of a coordinate plane, and identify and interpret the x and y coordinates to solve problems.
NC.5.OA.3
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.
● Graph the ordered pairs on a coordinate plane.
Cluster 2: Using models to explore properties of multiplication and division
NC.5.OA.2 Write, explain, and evaluate numerical expressions involving the four operations to solve up to two step problems. Include expressions involving:
● Parentheses, using the order of operations.
● Commutative, associative and distributive properties.
NC.5.NBT.5 Demonstrate fluency with the multiplication of two whole numbers up to a three-digit number by a two-digit number using the standard algorithm. (Students are not expected to master the standard algorithm until later in the year in cluster 6)
NC.5.NBT.6 Find quotients with remainders when dividing whole numbers with up to four-digit dividends and two-digit divisors using rectangular arrays, area models, repeated subtraction, partial quotients, and/or the relationship between multiplication and division. Use models to make connections and develop the algorithm.
NC.5.MD.4 Recognize volume as an attribute of solid figures and measure volume by counting unit cubes, using cubic centimeters, cubic inches, cubic feet, and improvised units.
NC.5.MD.5 Relate volume to the operations of multiplication and addition.
● Find the volume of a rectangular prism with whole-number side lengths by packing it with unit cubes, and show that the volume is the same as would be found by multiplying the edge lengths.
● Build understanding of the volume formula for rectangular prisms with whole-number edge lengths in the context of solving problems.
● Find volume of solid figures with one-digit dimensions composed of two non-overlapping rectangular prisms.
● Parentheses, using the order of operations.
● Commutative, associative and distributive properties.
NC.5.NBT.5 Demonstrate fluency with the multiplication of two whole numbers up to a three-digit number by a two-digit number using the standard algorithm. (Students are not expected to master the standard algorithm until later in the year in cluster 6)
NC.5.NBT.6 Find quotients with remainders when dividing whole numbers with up to four-digit dividends and two-digit divisors using rectangular arrays, area models, repeated subtraction, partial quotients, and/or the relationship between multiplication and division. Use models to make connections and develop the algorithm.
NC.5.MD.4 Recognize volume as an attribute of solid figures and measure volume by counting unit cubes, using cubic centimeters, cubic inches, cubic feet, and improvised units.
NC.5.MD.5 Relate volume to the operations of multiplication and addition.
● Find the volume of a rectangular prism with whole-number side lengths by packing it with unit cubes, and show that the volume is the same as would be found by multiplying the edge lengths.
● Build understanding of the volume formula for rectangular prisms with whole-number edge lengths in the context of solving problems.
● Find volume of solid figures with one-digit dimensions composed of two non-overlapping rectangular prisms.
Games for relational thinking
Games for Volume
Games for Multiplication and divison
games for fractions
Games for Decimal fractions
Games for graphing on the coordinate plane
Geometry fun
Math vocabulary review
Inspiring all math learners
Dr. Jo Boaler is a researcher in math learning at Stanford University. We begin our year with youcubed.org's "Week of Inspirational Math." We discuss recent brain research into the value of growth mindset in learning. Anyone can succeed at any level in math! The focus is on creative, collaborative, deep, and accessible math. Check out the parent page for great resources, including an online course on learning math.