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