Year 10A Measurement and Geometry by Texas Instruments

Students solve problems involving surface area and volume of right pyramids, right cones, spheres and related composite solids, prove and apply angle and chord properties of circles and use Pythagoras' theorem and trigonometry to solving three dimensional problems in right-angled triangles. They establish the sine, cosine and area rules for any triangle and solve related problems, use the unit circle to define trigonometric functions and graph them and solve simple trigonometric equations.

Year 10A: Measurement and Geometry Classroom Activities		Download
Pythagoras and trigonometry
Standard ACMMG274 Use the unit circle to define trigonometric functions, and graph them with and without the use of digital technologies Activity: Unit Circle Connect the unit circle to the corresponding sine, cosine and tangent ratios. Watch the animated graph and table of values to help make these connections. Answer the questions in the student activity to rehearse the calculations, identify the patterns and make the connections. Note: This activity uses degrees. For a unit circle activity using radians refer to Senior Curriculum Inspirations.	ACMMG274	Download243
Standard ACMMG276 Pythagoras' theorem and trigonometry to solving threedimensional problems in right-angled triangles Activity: Pythagoras 3D Students use an interactive diagram of a three dimensional box to explore the relationship between the side lengths of the box and the length of the diagonal connecting opposing vertices. Students verify the length of the diagonal by using Pythagoras’s theorem in three dimensions.	ACMMG276	Download209
Standard ACMMG273 Establish the sine, cosine and area rules for any triangle and solve related problems Activity: Area of a Triangle Students use a number of interactive diagrams to collect data and explore the relationship between the side lengths of a triangle and its area with a view to establishing the rule A = ½ a b sin(C)	ACMMG273	Download18
Units of Measurement
Standard ACMMG271 Solve problems involving surface area and volume of right pyramids, right cones, spheres and related composite solids Activity: ACMMG271 Ball Sports In this activity students collect data for a range of ball sizes and masses. The data is then analysed and an appropriate line of best fit is applied. Students then consider balls that don't quite fit the plot, including an AFL football. In considering an AFL football students use alternative means to create a comparison with the spherical balls. Calculations include arithmetic mean (radius), geometric mean (radius) and volume. Students are ultimately provided with a problem involving the design of a ball using a specific material and thickness leading to calculations of density.	ACMMG271	Download8

Category	Description	Allow
Analytics and performance cookies	These cookies, including cookies from Google Analytics, allow us to recognize and count the number of visitors on TI sites and see how visitors navigate our sites. This helps us improve the way TI sites work (for example, by making it easier for you to find information on the site).
Advertising and marketing cookies	These cookies enable interest-based advertising on TI sites and third-party websites using information you make available to us when you interact with our sites. Interest-based ads are displayed to you based on cookies linked to your online activities, such as viewing products on our sites. We may also share this information with third parties for these purposes. These cookies help us tailor advertisements to better match your interests, manage the frequency with which you see an advertisement, and understand the effectiveness of our advertising.
Functional cookies	These cookies help identify who you are and store your activity and account information in order to deliver enhanced functionality, including a more personalized and relevant experience on our sites. If you do not allow these cookies, some or all site features and services may not function properly. If you do not allow these cookies, some or all of the site features and services may not function properly.
Social media cookies	These cookies allow identification of users and content connected to online social media, such as Facebook, Twitter and other social media platforms, and help TI improve its social media outreach.
Strictly necessary	These cookies are necessary for the operation of TI sites or to fulfill your requests (for example, to track what items you have placed into your cart on the TI.com, to access secure areas of the TI site, or to manage your configured cookie preferences).	Always On

Standard ACMMG274

Activity: Unit Circle

Standard ACMMG276

Activity: Pythagoras 3D

Standard ACMMG273

Activity: Area of a Triangle

Standard ACMMG271

Activity: ACMMG271 Ball Sports

Control your cookie preferences