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
Whole number degree measures, sums, and differences may only be within 0° and 360°.
No
Allowable
Sample Test Items (4)
| Test Item # | Question | Difficulty | Type |
| Sample Item 1 | What is them measure of the unknown angle?
|
N/A | MC: Multiple Choice |
| Sample Item 2 | Kyle is adding angles to create other angles. Fill in the circles to select the angles Kyle can use to create a 128º angle. Fill in the circles to select the angles that Kyle can use to create a 55º angle.
|
N/A | MI: Matching Item |
| Sample Item 3 | A diagram is shown.
What is the sum of all the angles that are labeled? |
N/A | EE: Equation Editor |
| Sample Item 4 | What is the measure, in degrees (º), of the missing angle?
|
N/A | EE: Equation Editor |
Related Courses
| Course Number1111 | Course Title222 |
| 5012060: | Mathematics - Grade Four (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current)) |
| 7712050: | Access Mathematics Grade 4 (Specifically in versions: 2014 - 2015, 2015 - 2018, 2018 - 2022, 2022 and beyond (current)) |
| 5020110: | STEM Lab Grade 4 (Specifically in versions: 2016 - 2022, 2022 and beyond (current)) |
| 5012055: | Grade 3 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
Formative Assessments
| Name | Description |
| Understanding Angles | Students are asked to recognize the additive nature of angles to determine an unknown angle measure. |
| Using Known Angles | Students are asked to determine adjacent angle measurements using the additive structure of angle measurement and known angle measurements. |
| Turns on a Skateboard | Students are asked to determine an unknown angle measure that is one component of a larger known angle when given the other component. |
| What Is the Measure of the Angle? | Students are asked to determine an unknown angle measure that is one component of a larger known angle when given the other components. |
Image/Photograph
| Name | Description |
| Angles (Clipart ETC) | This large collection of clipart contains images of angles that can be freely used in lesson plans, worksheets, and presentations. |
Lesson Plans
| Name | Description |
| Edible Angles: Decomposing Angles Into Parts of a Whole | This lesson is designed to review help students apply their understanding that when an angle is decomposed into parts, the measure of the parts is equal to the whole measure of the original angle. |
| What’s Your Angle? | In this lesson, students will use addition or subtraction to find the measure of two adjacent angles and determine the measure of an unknown angle. |
Original Student Tutorials
| Name | Description |
| Additive Angles: Wondrous Windows | Decompose and compose various angles while exploring clocks and windows in this interactive tutorial. Note: this tutorial exceeds clarification limits and is meant as enrichment for students to improve their problem-solving skills. |
| Additive Angles: Tessellating Tiles | Are you up for a challenge? You will use tile designs to explore how angles can be decomposed into smaller angles and how those parts can be shown as addends in equations in this interactive tutorial. Note: this tutorial exceeds clarification limits and is meant as enrichment for students who met the standards to increase problem-solving skills. |
Tutorial
| Name | Description |
| Solving for a Part of a Decomposed Angle | This Khan Academy tutorial video presents the strategy for finding the measure of one of two adjacent angles, when the sum of both and measure of one are known. |
Student Resources
Original Student Tutorials
| Name | Description |
| Additive Angles: Wondrous Windows: | Decompose and compose various angles while exploring clocks and windows in this interactive tutorial. Note: this tutorial exceeds clarification limits and is meant as enrichment for students to improve their problem-solving skills. |
| Additive Angles: Tessellating Tiles: | Are you up for a challenge? You will use tile designs to explore how angles can be decomposed into smaller angles and how those parts can be shown as addends in equations in this interactive tutorial. Note: this tutorial exceeds clarification limits and is meant as enrichment for students who met the standards to increase problem-solving skills. |
Tutorial
| Name | Description |
| Solving for a Part of a Decomposed Angle: | This Khan Academy tutorial video presents the strategy for finding the measure of one of two adjacent angles, when the sum of both and measure of one are known. |