General Information
Clusters should not be sorted from Major to Supporting and then taught in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.
Test Item Specifications
N/A
No
Allowable
Sample Test Items (3)
Test Item # | Question | Difficulty | Type |
Sample Item 1 | Which value is furthest from 0 on the number line?
|
N/A | MC: Multiple Choice |
Sample Item 2 | The elevations of several cities are shown. Select which city has the greatest elevation and which city is farthest from sea level.
|
N/A | MI: Matching Item |
Sample Item 3 | Chicago has a temperature of Select all the values that could represent the temperature of Minneapolis.
|
N/A | MS: Multiselect |
Related Courses
Course Number1111 | Course Title222 |
1205010: | M/J Grade 6 Mathematics (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 - 2024, 2024 and beyond (current)) |
1205020: | M/J Accelerated Mathematics Grade 6 (Specifically in versions: 2014 - 2015, 2015 - 2020, 2020 - 2022, 2022 - 2024, 2024 and beyond (current)) |
1204000: | M/J Foundational Skills in Mathematics 6-8 (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 - 2024, 2024 and beyond (current)) |
7812015: | Access M/J Grade 6 Mathematics (Specifically in versions: 2014 - 2015, 2015 - 2018, 2018 - 2022, 2022 and beyond (current)) |
7912110: | Fundamental Explorations in Mathematics 1 (Specifically in versions: 2013 - 2015, 2015 - 2017 (course terminated)) |
Related Resources
Formative Assessments
Name | Description |
South Pole | Students are asked to interpret an inequality relating two temperatures. |
Visualizing Absolute Value | Students are asked to identify a number’s possible locations on a number line when given the number’s absolute value. |
Submarines | Students are asked to write integers to represent quantities given in context and to relate the integers with an inequality. |
Positions of Numbers | Students are asked to describe the positions of numbers relative to each other on a number line. |
Absolute Altitudes | Students are asked to compare two elevations and their absolute values and then interpret these comparisons within a given real-world context. |
Lesson Plans
Name | Description |
Positive or Negative? Does It Matter? | This lesson aligns to the Mathematics Formative Assessment System (MFAS) Task Submarines (CPALMS Resource ID# ). In this lesson, students with similar instructional needs are grouped according to MFAS rubric levels: Getting Started, Moving Forward, Almost There, and Got It. Students in each group complete an exercise designed to move them toward a better understanding of the ordering of rational numbers. |
Absolutely Integers | Students will review how to graph positive numbers and then negative numbers on a number line. The students will review absolute value and apply this to different integers. They will then play a fun game to check their understanding. |
Problem-Solving Tasks
Name | Description |
Above and below sea level | The purpose of this task is to help students interpret signed numbers in a context as a magnitude and a direction and to make sense of the absolute value of a signed number as its magnitude. The questions about the elevation of New Orleans are fairly natural: it is a standard convention to use positive numbers to represent elevations above sea level and negative numbers below sea level. However, it is possible to represent them the other way around. |
Comparing Temperatures | The purpose of the task is for students to compare signed numbers in a real-world context. |
Fractions on the Number Line | The purpose of this task is to help students get a better understanding of fractions on a number line. |
Integers on the Number Line 2 | The purpose of this task is for students to get a better understanding of the relative positions and values of positive and negative numbers. |
Jumping Flea | This purpose of this task is to help students understand the absolute value of a number as its distance from 0 on the number line. The context is not realistic, nor is meant to be; it is a thought experiment to help students focus on the relative position of numbers on the number line. |
Tutorials
Name | Description |
Ordering Negative Numbers | Let's order negative numbers from least to greatest in this video. |
Ordering Rational Numbers | In this tutorial, you will learn how to order rational numbers using a number line. |
Comparing Absolute Values | In this tutorial you will compare the absolute value of numbers using the concepts of greater than (>), less than (<), and equal to (=). |
Sorting Values on Number Line | This video demonstrates sorting values including absolute value from least to greatest using a number line. |
Values to Make Absolute Value Inequality True | This video demonstrates solving absolute value inequality statements. |
Interpreting Absolute Value | This video is about interpreting absolute value in a real-life situation. |
Pre-Algebra - Whole Numbers, Integers, and the Number Line | Number systems evolved from the natural "counting" numbers, to whole numbers (with the addition of zero), to integers (with the addition of negative numbers), and beyond. These number systems are easily understood using the number line. |
Ordering Numeric Expressions | The video demonstrates rewriting given numbers in a common format (as decimals), so they can be compared and ordered. |
Student Resources
Problem-Solving Tasks
Name | Description |
Comparing Temperatures: | The purpose of the task is for students to compare signed numbers in a real-world context. |
Integers on the Number Line 2: | The purpose of this task is for students to get a better understanding of the relative positions and values of positive and negative numbers. |
Jumping Flea: | This purpose of this task is to help students understand the absolute value of a number as its distance from 0 on the number line. The context is not realistic, nor is meant to be; it is a thought experiment to help students focus on the relative position of numbers on the number line. |
Tutorials
Name | Description |
Ordering Negative Numbers: | Let's order negative numbers from least to greatest in this video. |
Ordering Rational Numbers: | In this tutorial, you will learn how to order rational numbers using a number line. |
Comparing Absolute Values: | In this tutorial you will compare the absolute value of numbers using the concepts of greater than (>), less than (<), and equal to (=). |
Sorting Values on Number Line: | This video demonstrates sorting values including absolute value from least to greatest using a number line. |
Values to Make Absolute Value Inequality True: | This video demonstrates solving absolute value inequality statements. |
Interpreting Absolute Value: | This video is about interpreting absolute value in a real-life situation. |
Pre-Algebra - Whole Numbers, Integers, and the Number Line: | Number systems evolved from the natural "counting" numbers, to whole numbers (with the addition of zero), to integers (with the addition of negative numbers), and beyond. These number systems are easily understood using the number line. |
Ordering Numeric Expressions : | The video demonstrates rewriting given numbers in a common format (as decimals), so they can be compared and ordered. |
Parent Resources
Problem-Solving Tasks
Name | Description |
Comparing Temperatures: | The purpose of the task is for students to compare signed numbers in a real-world context. |
Integers on the Number Line 2: | The purpose of this task is for students to get a better understanding of the relative positions and values of positive and negative numbers. |
Jumping Flea: | This purpose of this task is to help students understand the absolute value of a number as its distance from 0 on the number line. The context is not realistic, nor is meant to be; it is a thought experiment to help students focus on the relative position of numbers on the number line. |
Tutorial
Name | Description |
Ordering Numeric Expressions : | The video demonstrates rewriting given numbers in a common format (as decimals), so they can be compared and ordered. |