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
- Michael uses the rule "multiply by 2" and starts at 5.
- John uses the rule "add 8" and starts at 16.
- Kaiya's pattern uses the rule "Add 2" and has a first term of 6.
- Deangelo's pattern uses the rule "Add 4" and has a first term of 5.
Expressions may contain whole numbers or fractions with a denominator of 10 or less. Ordered pairs many only be located within Quadrant I of the coordinate plane. Operations in rules limited to: addition, subtraction, multiplication, and division. Patterns that require division may not lead to fractional terms. Items may not contain rules that exceed two procedural operations. Items must provide the rule. Expressions may not include nested parentheses.
No
Allowable
Sample Test Items (2)
Test Item # | Question | Difficulty | Type |
Sample Item 1 | Michael and John are creating patterns. What is the first number in Michael's pattern that also appears in John's pattern? |
N/A | EE: Equation Editor |
Sample Item 2 | Kaiya and Deangelo each create a number pattern. The two patterns A. have terms in common because B. do not have
Kaiya's pattern has A. only odd numbers and B. only even C. both odd and even
Deangelo's pattern has A. only odd numbers. B. only even C. both odd and even
|
N/A | ETC: Editing Task Choice |
Related Courses
Course Number1111 | Course Title222 |
5012070: | Grade Five Mathematics (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current)) |
7712060: | Access Mathematics Grade 5 (Specifically in versions: 2014 - 2015, 2015 - 2018, 2018 - 2022, 2022 and beyond (current)) |
5001060: | Art - Intermediate 3 (Specifically in versions: 2014 - 2015, 2015 - 2019, 2019 - 2022, 2022 and beyond (current)) |
5012065: | Grade 4 Accelerated Mathematics (Specifically in versions: 2019 - 2022, 2022 and beyond (current)) |
5012015: | Foundational Skills in Mathematics 3-5 (Specifically in versions: 2019 - 2022, 2022 and beyond (current)) |
Related Resources
Educational Software / Tool
Name | Description |
Free Graph Paper | A variety of graph paper types for printing, including Cartesian, polar, engineering, isometric, logarithmic, hexagonal, probability, and Smith chart. |
Formative Assessments
Name | Description |
Choo Choo Trains Company | Students are asked to fill in missing values in a table of numerical patterns and describe relationships between corresponding terms. |
Comic Books | Students are asked to complete one of two number patterns, write ordered pairs composed of corresponding terms, graph the ordered pairs, and identify a relationship between corresponding terms of the patterns. |
Generating Two Patterns | Students are given two rules and are asked to generate patterns. |
Exploring Related Patterns | Students are asked to complete one of two number patterns, write ordered pairs composed of corresponding terms, graph the ordered pairs, and identify a relationship between corresponding terms of the patterns. |
Lesson Plan
Name | Description |
Cool School | In this lesson, students will take an imaginary trip to my lake house. They will solve a variety of real life word problems. Once at the lake they will experience many activities where they will need number sense. For the assessment, students will record and analyze data in order to determine who the best angler was at "Cool School." |
Perspectives Video: Teaching Idea
Name | Description |
The Mathematics of Juggling: Patterns, Rules, and Siteswap Notation | Sometimes it is difficult to juggle math concepts. See how patterns can help. |