## Angles within a circle

Activity type: Interactive Activity

## Angles within a circle

Course
Mathematics
Section
Angles
Outcome
Angles within a circle
Activity Type
Interactive Activity
Activity ID
28477

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## United States – Common Core State Standards

• ##### 4.MD – Measurement & Data
• Mathematics

• 4.MD.7 – Recognize angle measure as additive. When an angle is decomposed into non-overlapping parts, the angle measure of the whole is the sum of the angle measures of the parts. Solve addition and subtraction problems to find unknown angles on a diagram in real world and mathematical problems, e.g., by using an equation with a symbol for the unknown angle measure.

• 4.MD.5 – Recognize angles as geometric shapes that are formed wherever two rays share a common endpoint, and understand concepts of angle measurement:

• 4.MD.5.a – An angle is measured with reference to a circle with its center at the common endpoint of the rays, by considering the fraction of the circular arc between the points where the two rays intersect the circle. An angle that turns through 1/360 of a circle is called a “one-degree angle,” and can be used to measure angles.

## Australia – Australian Curriculum

• ##### Measurement and Geometry
• Geometric reasoning

• ACMMG141 – Investigate, with and without digital technologies, angles on a straight line, angles at a point and vertically opposite angles. Use results to find unknown angles

## New Zealand – National Standards

• ##### 7.GM – Geometry and measurement
• 7.GM.4 – Sort two- and three-dimensional shapes into classes, defining properties and justifying the decisions made

## United Kingdom – National Curriculum

• ##### Year 6 programme of study
• KS2.Y6.G.PS – Geometry - properties of shapes

• Pupils should be taught to:

• KS2.Y6.G.PS.4 – Illustrate and name parts of circles, including radius, diameter and circumference and know that the diameter is twice the radius

• ##### Year 5 programme of study
• KS2.Y5.G.PS – Geometry - properties of shapes

• Pupils should be taught to: