Standard 1: Solve problems involving rational numbers, including numbers in scientific notation, and extend the understanding of rational numbers to irrational numbers.

Students are asked to define a rational number and then explain why the sum of two rational numbers is rational.

Type: Formative Assessment

Students are asked to describe the difference between rational and irrational numbers and then explain why the sum of a rational and an irrational number is irrational.

Type: Formative Assessment

Students are asked to describe the difference between rational and irrational numbers, and then explain why the product of a non-zero rational and an irrational number is irrational.

Type: Formative Assessment

Students are given numerical expressions and asked to use properties of integer exponents to find equivalent expressions.

Type: Formative Assessment

Students are asked to complete a table of powers of three and provide an explanation of zero powers.

Type: Formative Assessment

Students are asked to evaluate perfect square roots and perfect cube roots.

Type: Formative Assessment

Students are asked to add and subtract numbers given in scientific notation in real-world contexts.

Type: Formative Assessment

Students are asked to multiply and divide numbers given in scientific notation in real-world contexts.

Type: Formative Assessment

Students are given word problems with numbers in both standard and scientific notation and asked to solve problems using various operations.

Type: Formative Assessment

Students are asked to apply the properties of integer exponents to generate equivalent numerical expressions.

Type: Formative Assessment

Students are asked to solve problems involving square roots and cube roots.

Type: Formative Assessment

Students are asked to estimate an extremely large and an extremely small number by writing it in the form a x .

Type: Formative Assessment

Students are asked to identify rational numbers from a list of real numbers, explain how to identify rational numbers, and to identify the number system that contains numbers that are not rational.

Type: Formative Assessment

Students are given pairs of numbers written in the form of an integer times a power of 10 and are asked to compare the numbers in each pair using the inequality symbols.

Type: Formative Assessment

Students are given pairs of numbers written in exponential form and are asked to compare them multiplicatively.

Type: Formative Assessment

Students are given pairs of numbers written in scientific notation and are asked to compare them multiplicatively.

Type: Formative Assessment

Students are given several terminating and repeating decimals and asked to convert them to fractions.

Type: Formative Assessment

Students are given expressions with negative exponents and are asked to identify those that are equivalent from given sets of expressions.

Type: Formative Assessment

Students are given examples of calculator displays and asked to convert the notation in the display to both scientific notation and standard form.

Type: Formative Assessment

Students are asked to find and interpret lower and upper bounds of an irrational expression using a calculator.

Type: Formative Assessment

Students are asked to plot the square root of eight on three number lines, scaled to progressively more precision.

Type: Formative Assessment

Students are asked to graph three different irrational numbers on number lines.

Type: Formative Assessment

Students are asked to estimate the value of several irrational numbers using a calculator and order them on a number line.

Type: Formative Assessment

Learn how to simplify radicals in this interactive tutorial.

Type: Original Student Tutorial

Explore how to express large quantities using scientific notation in this interactive tutorial.

Type: Original Student Tutorial

Apply the Pythagorean Theorem to solve mathematical and real-rorld problems in this interactive tutorial.

Type: Original Student Tutorial

Exponentiation can be understood in terms of repeated multiplication much like multiplication can be understood in terms of repeated addition. Properties of multiplication and division of exponential expressions with the same base are derived.

Type: Video/Audio/Animation