**Subject Area:**Mathematics

**Grade:**4

**Domain-Subdomain:**Geometry

**Cluster:**Level 2: Basic Application of Skills & Concepts

**Cluster:**Draw and identify lines and angles, and classify shapes by properties of their lines and angles. (Additional Cluster) -

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.

**Date Adopted or Revised:**02/14

**Date of Last Rating:**02/14

**Status:**State Board Approved

**Assessed:**Yes

**Assessment Limits :**

Triangles: equilateral, equiangular, isosceles, scalene, acute, right, obtuse. Quadrilaterals: parallelograms, rectangles, squares, rhombi, trapezoids. Other polygons may be included where appropriate. Items that include trapezoids must consider both the inclusive and exclusive definitions. Items may not use the term "kite" but may include the figure.**Calculator :**No

**Context :**No context

**Test Item #:**Sample Item 1**Question:**Select all the obtuse triangles.

**Difficulty:**N/A**Type:**MS: Multiselect

**Test Item #:**Sample Item 2**Question:**Which figure is an acute triangle?

**Difficulty:**N/A**Type:**MC: Multiple Choice

**Test Item #:**Sample Item 3**Question:**Fill in the circles to select all the properties that

**always**belong to each shape.**Difficulty:**N/A**Type:**MI: Matching Item

**Test Item #:**Sample Item 4**Question:**Select all the shapes that

**always**contain perpendicular sides.**Difficulty:**N/A**Type:**MS: Multiselect

## Related Courses

## Related Access Points

## Related Resources

## Assessments

## Formative Assessments

## Lesson Plans

## Original Student Tutorials

## Problem-Solving Tasks

## Teaching Ideas

## Tutorials

## Virtual Manipulative

## MFAS Formative Assessments

Students are shown three triangles that fit a rule (each has a right angle) and are asked to determine which of three other triangles also fit the rule.

Students are asked to use shape descriptions to sketch shapes and explain why some cannot be sketched.

Students are asked to use shape descriptions to sketch shapes and explain why some cannot be sketched.

## Original Student Tutorials Mathematics - Grades K-5

Overcome the nightmare of quadrilateral classification based on the presence of parallel, perpendicular, and congruent sides as you complete this interactive tutorial.

Identify right triangles and explain the properties shared by all right triangles.

## Student Resources

## Original Student Tutorials

Overcome the nightmare of quadrilateral classification based on the presence of parallel, perpendicular, and congruent sides as you complete this interactive tutorial.

Type: Original Student Tutorial

Identify right triangles and explain the properties shared by all right triangles.

Type: Original Student Tutorial

## Problem-Solving Tasks

The purpose of this task is to give 4th grade students a problem involving an unknown quantity that has a clear visual representation. Students must understand that the four interior angles of a rectangle are all right angles (4.G.2) and that right angles have a measure of 90° and that angle measure is additive (4.MD.7).

Type: Problem-Solving Task

The purpose of this task is for students to measure angles and decide whether the triangles are right or not. Students should already understand concepts of angle measurement (4.MD.5) and know how to measure angles using a protractor (4.MD.6) before working on this task.

Type: Problem-Solving Task

## Tutorials

This Khan Academy tutorial video presents examples and explanations for categorizations of perpendicular sides and right, obtuse, and acute triangles.

Type: Tutorial

In this Khan Academy tutorial video triangles are categorized by angles or side lengths of a specified size.

Type: Tutorial

## Virtual Manipulative

This extremely versatile manipulative can be used by learners of different grades. At early grades, this manipulative will help the students recognize, name, build, draw, and compare two-dimensional shapes. As they progress students can classify and understand relationships among types of two-dimensional objects using their defining properties. The application computes perimeter and area allowing students to explore patterns as dimensions change.

Type: Virtual Manipulative

## Parent Resources

## Problem-Solving Tasks

The purpose of this task is to give 4th grade students a problem involving an unknown quantity that has a clear visual representation. Students must understand that the four interior angles of a rectangle are all right angles (4.G.2) and that right angles have a measure of 90° and that angle measure is additive (4.MD.7).

Type: Problem-Solving Task

The purpose of this task is for students to measure angles and decide whether the triangles are right or not. Students should already understand concepts of angle measurement (4.MD.5) and know how to measure angles using a protractor (4.MD.6) before working on this task.

Type: Problem-Solving Task

## Virtual Manipulative

This extremely versatile manipulative can be used by learners of different grades. At early grades, this manipulative will help the students recognize, name, build, draw, and compare two-dimensional shapes. As they progress students can classify and understand relationships among types of two-dimensional objects using their defining properties. The application computes perimeter and area allowing students to explore patterns as dimensions change.

Type: Virtual Manipulative