# Unit 4: Circles and Volume - WordPress.com Unit 4: Circles and Volume Vocabulary Builder Daily Agenda What am I learning today? G.GMD.1 Give informal arguments for geometric formulas Polyhedra Eulers Formula edge G.GMD.3 Use volume formulas to solve

problems net Vertex What am I going to do today? Vocabulary Builder Volume of Cylinders Volume of Rectangular and Triangular Prisms Cross section How will I show you that Ive learned it? Face Horizontal plane

Vertical plane Daily 5 Question Check for Understanding Daily Ticket out the Door Daily Agenda What am I learning today? G.GMD.1 Give informal arguments for geometric formulas G.GMD.3 Use volume formulas to solve problems

Formula for volume Substitution h=9 What am I going to do today? Vocabulary Builder Volume of Cylinders Volume of Rectangular and Triangular Prisms Base is a right triangle, legs 3 and 4.2 Multiply How will I show you that Ive learned it?

Daily 5 Question Check for Understanding Daily Ticket out the Door Daily Agenda What am I learning today? G.GMD.1 Give informal arguments for geometric formulas 4 2 5 What am I going to do today?

1 2 3 5 1 G.GMD.3 Use volume formulas to solve problems Vocabulary Builder Volume of Cylinders Volume of Rectangular and Triangular Prisms 3

4 How will I show you that Ive learned it? Daily 5 Question Check for Understanding Daily Ticket out the Door Daily Agenda What am I learning today? G.GMD.1 Give informal arguments for geometric formulas G.GMD.3 Use volume formulas to solve

problems What am I going to do today? Vocabulary Builder Volume of Cylinders Volume of Rectangular and Triangular Prisms How will I show you that Ive learned it? Daily 5 Question Check for Understanding Daily Ticket out the Door Daily Agenda

What am I learning today? G.GMD.1 Give informal arguments for geometric formulas G.GMD.3 Use volume formulas to solve problems What am I going to do today? Vocabulary Builder Volume of Cylinders Volume of Rectangular and Triangular Prisms How will I show you that Ive learned it?

Daily 5 Question Check for Understanding Daily Ticket out the Door Daily Agenda What am I learning today? G.GMD.1 Give informal arguments for geometric formulas G.GMD.3 Use volume formulas to solve problems Ratio Similar

Proportion What am I going to do today? Vocabulary Builder Volume of Cylinders Volume of Rectangular and Triangular Prisms Scale factor How will I show you that Ive learned it? Daily 5 Question Check for Understanding Daily Ticket out the Door

Daily Agenda What am I learning today? G.GMD.1 Give informal arguments for geometric formulas G.GMD.3 Use volume formulas to solve problems What am I going to do today? Lateral area Volume Vocabulary Builder Volume of Cylinders

Volume of Rectangular and Triangular Prisms Linear dimensions Surface area How will I show you that Ive learned it? Daily 5 Question Check for Understanding Daily Ticket out the Door Daily Agenda What am I learning today? G.GMD.1 Give informal arguments for

geometric formulas G.GMD.3 Use volume formulas to solve problems What am I going to do today? Vocabulary Builder Volume of Cylinders Volume of Rectangular and Triangular Prisms How will I show you that Ive learned it? Daily 5 Question Check for Understanding

Daily Ticket out the Door Unit 4: Circles and Volume 4.7 Volume of Prisms (Rectangular, Triangular, and Cylinders) Daily Agenda Volume What am I learning today? G.GMD.1 Give informal arguments for geometric formulas cubic congruent

Right rectangular prism length height G.GMD.3 Use volume formulas to solve problems What am I going to do today? bases Vocabulary Builder Volume of Cylinders Volume of Rectangular and Triangular Prisms

width How will I show you that Ive learned it? Daily 5 Question Check for Understanding Daily Ticket out the Door Daily Agenda What am I learning today? =hh =10.5 8 12 =1008 3 =hh

=15 5 3 G.GMD.1 Give informal arguments for geometric formulas =225 3 What am I going to do today? Vocabulary Builder Volume of Cylinders =142.5 3 G.GMD.3 Use volume formulas to solve problems =456 3

Volume of Rectangular and Triangular Prisms How will I show you that Ive learned it? Daily 5 Question Check for Understanding Daily Ticket out the Door Daily Agenda height bases What am I learning today?

G.GMD.1 Give informal arguments for geometric formulas G.GMD.3 Use volume formulas to solve problems multiply base height What am I going to do today? Vocabulary Builder Volume of Cylinders Volume of Rectangular and Triangular Prisms

How will I show you that Ive learned it? Daily 5 Question Check for Understanding Daily Ticket out the Door Daily Agenda What am I learning today? G.GMD.1 Give informal arguments for geometric formulas G.GMD.3 Use volume formulas to solve problems

Must find the height! 2 + 9.5 2=18 2 What am I going to do today? 2 =233.75 Vocabulary Builder Volume of Cylinders =15.3 7 18 35 = 2

=2205 3 22 15.3 19 = 2 =3195.4 3 Volume of Rectangular and Triangular Prisms How will I show you that Ive learned it? Daily 5 Question Check for Understanding Daily Ticket out the Door

Daily Agenda What am I learning today? G.GMD.1 Give informal arguments for geometric formulas G.GMD.3 Use volume formulas to solve problems What am I going to do today? Vocabulary Builder Volume of Cylinders =1925 3 Volume of Rectangular and Triangular Prisms

=120 3 How will I show you that Ive learned it? Daily 5 Question Check for Understanding Daily Ticket out the Door Daily Agenda capacity What am I learning today? G.GMD.1 Give informal arguments for geometric formulas

G.GMD.3 Use volume formulas to solve problems area height What am I going to do today? Vocabulary Builder Volume of Cylinders Volume of Rectangular and Triangular Prisms How will I show you that Ive learned it? Daily 5 Question Check for Understanding

Daily Ticket out the Door Daily Agenda What am I learning today? G.GMD.1 Give informal arguments for geometric formulas = 2 h = 2 h = (8.5)2 (7 ) = ( 4.5 ) ( 8.5) =505.8

=172.1 =1588.9 3 G.GMD.3 Use volume formulas to solve problems 2 =540.7 3 What am I going to do today? Vocabulary Builder Volume of Cylinders Volume of Rectangular

and Triangular Prisms =18472.6 3 =125.7 3 How will I show you that Ive learned it? Daily 5 Question Check for Understanding Daily Ticket out the Door Daily Agenda What am I learning today? G.GMD.1 Give informal arguments for geometric formulas

G.GMD.3 Use volume formulas to solve problems What am I going to do today? Vocabulary Builder Volume of Cylinders Volume of Rectangular and Triangular Prisms How will I show you that Ive learned it? Daily 5 Question Check for Understanding Daily Ticket out the

Door Daily Agenda Unit 4: Circles and Volume 4.8 Volume of Pyramid and Spheres Daily Agenda One-third Daily Agenda 400 36 3 8 8 10

= 3 = =213.3 3 =4800 3 =15 3 =48 3 Daily Agenda height slant Pythagorean Theorem

2 +5 2=13 2 =12 10 10 12 3 =400 3 = 2 +6.5 2=12.8 2 =11 13 13 11 3 =619.7 3 =

Daily Agenda 2 + 0.62 =2.82 =2.73 1.2 1.2 2.73 = 3 =1.3 3 2 +2.5 2=14.22 =13.9 5 5 13.9 3 =116.5 3 =

Daily Agenda Cones One-third circle Daily Agenda ( 7)2 (24) = 3 ( 4 )2 (12) = 3 =392

=64 =1232 3 =201 3 =98 3 =5131.3 3 Daily Agenda Center radius Daily Agenda 4 (5) 3

= 3 4 ( 3)3 = 3 =166.7 =36 =523.6 3 =113.1 3 =11494 3 =7238.2 3

Daily Agenda Composite Solid Composite Solid = Volume 1 + Volume 2 1 4 (6) = 2 3 3 =432 + 468 =900 =2827.4 3 2

+ ( 6 ) (13) Daily Agenda Composite Solid Composite Solid = Volume 1 + Volume 2 = ( 4)( 4) (6) 3 =32 + 80 =112 3 +( 4 )(4 )(5)

Daily Agenda Daily Agenda Unit 4: Circles and Volume 4.9 Cross Sections and 3 Dimensional Figures Daily Agenda polyhedron edge face vertex diagonal Cross section

Daily Agenda Daily Agenda polygon circles congruent similar circle triangle square Daily Agenda rectangle

triangle axis triangle Daily Agenda Daily Agenda Daily Agenda Unit 4: Circles and Volume 4.10 Cavalieris Principle and Density Daily Agenda

= Cylinder A: Cylinder B: = (5)2 (12) = (5)2 (12) =300 =300 =942.5 3 =942.5 3

Daily Agenda Daily Agenda mass size density mass volume Daily Agenda = 45 3 3 / 3 15

60 2 /3 3 = 30 Rock # 1 because the density is greater than rock #2 Daily Agenda = = 3.2 2

80 500 3 21 / 3 240 Daily Agenda Daily Agenda