This task can be used to either build or assess initial understandings related to rational approximations of irrational numbers.

Standard 8.NS.1 requires students to "convert a decimal expansion which repeats eventually into a rational number." Despite this choice of wording, the numbers in this task are rational numbers regardless of choice of representation. For example, 0.333 and 1/3 are two different ways of representing the same number.

The purpose of this lesson is to compare and order rational numbers.

Included is a YouTube video to support Grade 9 Blended Learning Math - Unit 3.1: Rational Numbers - What is a Rational Number?

The purpose of this lesson is to solve problems that require adding rational numbers.

Included is a YouTube video to support Grade 9 Blended Learning Math - Unit 3.2: Rational Numbers - Adding Rational Numbers.

The purpose of this lesson is to solve problems that involve subtracting rational numbers.

Included is a YouTube video to support Grade 9 Blended Learning Math - Unit 3.3: Rational Numbers - Subtracting Rational Numbers.

The purpose of this lesson is to solve problems that require the multiplication of rational numbers.

Included is a YouTube video to support Grade 9 Blended Learning Math - Unit 3.4: Rational Numbers - Multiplying Rational Numbers.

The purpose of this lesson is to solve problems that require the division of rational numbers.

Included is a YouTube video to support Grade 9 Blended Learning Math - Unit 3.5: Rational Numbers - Dividing Rational Numbers.

The purpose of this lesson is to explain and apply the order of operations with rational numbers.

Included is a YouTube video to support Grade 9 Blended Learning Math - Unit 3.6: Rational Numbers - Order of Operations with Rational Numbers.

This lesson compares rational number and orders them from least to greatest using the number line. [Developmental Math playlist: Lesson 132 of 196]

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Various Math Makes Sense Smart Board Files. Assessment & Reflections

Using the fundamentals of set theory, explore the mind-bending concept of the "infinity of infinities" -- and how it led mathematicians to conclude that math itself contains unanswerable questions.

This task requires students to determine whether a number is rational or irrational. The task assumes that students are able to express a given repeating decimal as a fraction.

The following file contains the assets (or resources) to accompany the Sask DLC Grade 9 Mathematics. Please note that this is not the content of the course, but the assets used to support and deliver it. The files are organized in a zipped folder. You can download it and extract the files. Links are also provided to other materials like videos and other suggested resources. 

This task has students experiment with the operations of addition and multiplication, as they relate to the notions of rationality and irrationality.

This task makes for a good follow-up task on rational irrational numbers after that the students have been acquainted with some of the more basic properties. In addition to eliciting several different types of reasoning, the task requires students to rewrite radical expressions in which the radicand is divisible by a perfect square (N-RN.2).