Estimate solutions to division problems in order to assess the reasonableness of results.
Divide multi-digit numbers, by one- and two-digit divisors, using efficient and generalizable procedures, based on knowledge of place value, including standard algorithms.
Divide Two Numbers with Operands Up to 12
Division with Dividends Up to 60
Increasing Division Patterns
Division Patterns with Zeroes
Divide Numbers Ending in Zeroes
Division with Remainder with Dividend Up to 1000
Division with Remainder with Dividend Up to 10,000
Division with Remainder with Divisor Up to 1000
Division with Divisors Up to 10
Division with Divisors Up to 100
Division with Divisors Up to 100 II
Divide Money Amounts
Recognize that quotients can be represented in a variety of ways, including a whole number with a remainder, a fraction or mixed number, or a decimal and consider the context in which a problem is situated to select and interpret the most useful form of the quotient for the solution.
Solve real-world and mathematical problems requiring addition, subtraction, multiplication, and division of multi-digit whole numbers. Use various strategies, including the inverse relationships between operations, the use of technology, and the context of the problem to assess the reasonableness of results.
Subtraction with Numbers Up to 5000000
Numbers Up to 5000000
Estimate Differences
Estimate Sums with Numbers Up to 100,000
Estimate Differences
Estimate Sums
Multiplication with Operands Up to 100 III
Multiplication Up to 1000
Multiply Three or More Numbers Up to 1000
Multiply Three or More Numbers
Multiply Three or More Numbers Up to 100
Division with Divisors Up to 100
Simplify Expressions
Represent decimal fractions (e.g., 1/10. 1/100) using a variety of models (e.g., 10 by 10 grids, rational number wheel, base-ten blocks, meter stick) and make connections between fractions and decimals.
Represent, read and write decimals using place value to describe decimal numbers including fractional numbers as small as thousandths and whole numbers as large as millions.
Compare and order fractions and decimals, including mixed numbers and fractions less than one, and locate on a number line.
Recognize and generate equivalent decimals, fractions, mixed numbers, and fractions less than one in various contexts.
Estimate sums and differences of fractions with like and unlike denominators, mixed numbers, and decimals to assess the reasonableness of the results.
Illustrate addition and subtraction of fractions with like and unlike denominators, mixed numbers, and decimals using a variety of representations (e.g., fraction strips, area models, number lines, fraction rods).
Add and subtract fractions with like and unlike denominators, mixed numbers, and decimals, using efficient and generalizable procedures, including but not limited to standard algorithms in order to solve real-world and mathematical problems including those involving money, measurement, geometry, and data.
Add and Subtract Decimal Numbers Up to 2 Places
Add and Subtract Decimal Numbers Up to 3 Places
Add and Subtract Decimals Up to 10
Add and Subtract Decimal Up to 100
Add and Subtract Decimals
Add and Subtract Fractions
Add, Subtract Fractions with Like Denominators
Subtract Fractions
Add Fractions
Add Two Mixed Fractions
Subtract Two Mixed Fractions
Add Fractions with Unlike Denominators
Subtract Fractions with Unlike Denominators
Add and Subtract Fractions with Unlike Denominators
Add Multiple Fractions with Unlike Denominators
Add Multiple Fractions
Add Mixed Numbers with Unlike Denominators
Subtract Mixed Numbers with Unlike Denominators
Add and Subtract Mixed Numbers
Add and Subtract Money: Up to $10,000
Find 0.1 more than a number and 0.1 less than a number. Find 0.01 more than a number and 0.01 less than a number. Find 0.001 more than a number and 0.001 less than a number.
Use tables and rules of up to two operations to describe patterns of change and make predictions and generalizations about real-world and mathematical problems.
Use a rule or table to represent ordered pairs of whole numbers and graph these ordered pairs on a coordinate plane, identifying the origin and axes in relation to the coordinates.
Generate equivalent numerical expressions and solve problems involving whole numbers by applying the commutative, associative, and distributive properties and order of operations (no exponents).
Determine whether an equation or inequality involving a variable is true or false for a given value of the variable.
Evaluate expressions involving variables when values for the variables are given.
Describe, classify and construct triangles, including equilateral, right, scalene, and isosceles triangles. Recognize triangles in various contexts.
Describe and classify three-dimensional figures including cubes, rectangular prisms, and pyramids by the number of edges, faces or vertices as well as the shapes of faces.
Recognize and draw a net for a three-dimensional figure (e.g., cubes, rectangular prisms, pyramids).
Recognize that the volume of rectangular prisms can be determined by the number of cubes (n) and by the product of the dimensions of the prism (a×b×c = n). Know that rectangular prisms of different dimensions (p, q, and r) can have the same volume if a×b×c = p×q×r = n.
Recognize that the surface area of a three-dimensional figure with rectangular faces with whole numbered edges can be found by finding the area of each component of the net of that figure. Know that three-dimensional shapes of different dimensions can have the same surface area.
Find the perimeter of polygons and create arguments for reasonable values for the perimeter of shapes that include curves.
Measure and compare angles according to size.
Choose an appropriate instrument and measure the length of an object to the nearest whole centimeter or 1/16-inch.
Recognize and use the relationship between inches, feet, and yards to measure and compare objects.
Recognize and use the relationship between millimeters, centimeters, and meters to measure and compare objects.
Find the measures of central tendency (mean, median, or mode) and range of a set of data. Understand that the mean is a "leveling out" or central balance point of the data.
Calculate Mean
Calculate Range
Calculate Mode
Calculate Median
Calculate Mean, Median, Mode and Range
Mean: Find the Missing Number
Range: Find the Missing Number
Mean, Median, Mode, and Range: Find the Missing Number
Mode: Find the Missing Number
Median: Find the Missing Number
Interpret Charts to Find Mode
Interpret Charts to Find Mean, Median, Mode, and Range
Interpret Charts to Find Median
Interpret Charts to Find Range
Interpret Charts to Find Mean
Create and analyze line and double-bar graphs with whole numbers, fractions, and decimals increments.