Measurement Geometry Mathematics Term 2 Learning Intentions Measurement

Measurement & Geometry Mathematics Term 2

Learning Intentions Measurement & Geometry Units of Measurement • I am learning to connect decimal representations to the metric system. • I am learning to choose appropriate units of measurement to perform a calculation. • I am learning to solve problems involving length and area. Shape • I am learning to construct simple prisms and pyramids. Location and transformation • I am learning to locate an ordered pair in any one of the four quadrants on the Cartesian plane.

Success Criteria I know I am successful when I… Measurement & Geometry • Using units of measurement • I can connect decimal representations to the metric system. • I can convert between common metric units of length, mass and capacity • I can solve problems involving the comparison of lengths and areas using appropriate units. Shape • I can construct simple prisms and pyramids Location and transformation • I can find coordinates using the Cartesian coordinate system using all four quadrants

Learning Intentions Measurement & Geometry Units of Measurement • I am learning to connect decimal representations to the metric system. • I am learning to choose appropriate units of measurement to perform a calculation. • I am learning to solve problems involving length and area. Shape • I am learning to construct simple prisms and pyramids. Location and transformation • I am learning to locate an ordered pair in any one of the four quadrants on the Cartesian plane. Success Criteria I know I am successful when I… Measurement & Geometry • Using units of measurement • I can connect decimal representations to the metric system. • I can convert between common metric units of length, mass and capacity • I can solve problems involving the comparison of lengths and areas using appropriate units. Shape • I can construct simple prisms and pyramids Location and transformation • I can find coordinates using the Cartesian coordinate system using all four quadrants

Cartesian Coordinate System

Learning Intentions Measurement & Geometry Location and transformation • I am learning to locate an ordered pair in any one of the four quadrants on the Cartesian plane. Success Criteria I know I am successful when I… Location and transformation • I can find coordinates using the Cartesian coordinate system using all four quadrants

Cartesian Coordinate System Quadrants What is a quadrant? How do you read a quadrant?

Cartesian Coordinate System Quadrants Always, the first number in the pair is read from the X AXIS and the second number is read from the Y AXIS.

Cartesian Coordinate System Quadrants Create Flip Book of Cartesian Coordinate System • A 4 coloured paper • Quadrant • labels

Learning Intentions Measurement & Geometry Location and transformation • I am learning to locate an ordered pair in any one of the four quadrants on the Cartesian plane. Success Criteria I know I am successful when I… Location and transformation • I can find coordinates using the Cartesian coordinate system using all four quadrants

Cartesian Coordinate System Quadrants Class - Label the Quadrants How do you read using the Cartesian Coordinate System?

Cartesian Coordinate System Quadrants Use the positive quadrant coordinates to plot the number pattern. Always, read from the X AXIS first and then the Y AXIS. Targeting Math page 31

Learning Intentions Measurement & Geometry Location and transformation • I am learning to locate an ordered pair in any one of the four quadrants on the Cartesian plane. Success Criteria I know I am successful when I… Location and transformation • I can find coordinates using the Cartesian coordinate system using all four quadrants

Cartesian Coordinate System Quadrants Review the names of quadrants Review writing of coordinates.

Cartesian Coordinate System Quadrants Creating your own pattern using coordinates with a partner for another pair to follow. __, __.

Learning Intentions Measurement & Geometry Location and transformation • I am learning to locate an ordered pair in any one of the four quadrants on the Cartesian plane. Success Criteria I know I am successful when I… Location and transformation • I can find coordinates using the Cartesian coordinate system using all four quadrants

Cartesian Coordinate System Quadrants In table group, students mark the coordinates on the quadrants to find the pattern. What pattern did you find?

Cartesian Coordinate System Quadrants Targeting Math page 8485.

Learning Intentions Measurement & Geometry Location and transformation • I am learning to locate an ordered pair in any one of the four quadrants on the Cartesian plane. Success Criteria I know I am successful when I… Location and transformation • I can find coordinates using the Cartesian coordinate system using all four quadrants

Cartesian Coordinate System Quadrants You Sunk My Battleship Whole Class Partners

Learning Intentions Success Criteria • I am learning to construct simple prisms and pyramids. I know I am successful because… • I can construct simple prisms and pyramids.

Shape: Views Using the i. Pad to airplay making the model on page 190 of Targeting Math.

Shape: Views Create the models on page 190 using MAB blocks. Drawing 3 D objects Using MAB blocks to create the isometric drawings to build the models. Targeting Math pages 190 -191.

Learning Intentions Success Criteria • I am learning to construct simple prisms and pyramids. I know I am successful because… • I can construct simple prisms and pyramids.

Shape What is a pyramid? What is a regular polygon?

Shape What is a prism?

Shape Sketch the following shapes

Shapes: Drawing 3 D Shapes Draw nets for the following shapes

Learning Intentions Success Criteria • I am learning to construct simple prisms and pyramids. I know I am successful because… • I can construct simple prisms and pyramids.

Skeleton Models

Skeleton Models

Skeleton Models

Skeleton Models

Skeleton Models

Skeleton Models What were the challenges? What would you do differently next time?

Measurement

Learning Intentions • I am learning to connect decimal representations to the metric system. • I am learning to choose appropriate units of measurement to perform a calculation. Success Criteria I know I am successful because… • I can connect decimal representations to the metric system. • I can convert between common metric units of length.

Measurement Length and Area. What is length? What units of measurement can we measure length with?

Measurement Length and Area. What tools are appropriate to measure: mm cm mkm -

Conversion of Measurement • Converting measurement between units is important… why? • Think, pair, share

Conversion of Measurement Rules of converting mm to cm cm to m m to km km to m m to cm cm to mm Task: • Create an anchor chart digitally to help you and your peers to remember how to convert units of metric measurement. • You will need to research the rules for converting metric measurement. • You must give at least 2 examples for each conversion.

Learning Intentions • I am learning to connect decimal representations to the metric system. • I am learning to choose appropriate units of measurement to perform a calculation. Success Criteria I know I am successful because… • I can connect decimal representations to the metric system. • I can convert between common metric units of length, mass and capacity.

Measurement Using the anchor chart you created, complete the Length and Area task sheet. • Targeting Math page 34.

Learning Intentions • I am learning to solve problems involving length and area. Success Criteria I know I am successful because… • I can solve problems involving the comparison of lengths and areas using appropriate units.

Measurement: Perimeter What is perimeter?

Measurement: Perimeter How do you measure perimeter on squares? How do you measure perimeter on rectangles? How do you measure perimeter on triangles? How do you measure perimeter on circles?

Measurement: Perimeter What happens when you perimeter boundary is made up of two shapes? 9 cm Use the example to help explain your thinking? 20 cm 8 cm 5 cm

Measurement: Perimeter These are called: 9 cm Composite Rectangles They compose of two rectangles. 20 cm 8 cm 5 cm

Measurement: Perimeter What is the perimeter of the following shape? 20 cm ? cm 10 cm Work with a partner. 35 cm ? cm 15 cm 25 cm

Measurement: Perimeter What is the perimeter of the following shape? 5 m Independently 3 m 11 m 3 m ? cm

Measurement: Perimeter Design a property using grid paper. You must include o o o Property fence pool with fence. garden beds house Driveway Optional extra – your choice. Once you have drawn your house you must measure and label the length of each feature. You must measure the perimeter of: • property • Garden bed • House • driveway

Learning Intentions • I am learning to solve problems involving length and area. Success Criteria I know I am successful because… • I can solve problems involving the comparison of lengths and areas using appropriate units.

Measurement: Area What is area? How is area different to perimeter?

Measurement: Area Why it is important to measure the area of places? List:

Measurement: Area How do we measure area? Knowing the perimeter measurements helps you to work out the area. A A=Lx. W A=2 mx 7 m A = 14 m 2 Total Area - 14 7 m B 2 m A=Lx. W A=3 m. X 4 m A = 12 m 2 + 12 m 2 = 26 cm 2 3 m 3 m A 5 m B 4 m

Measurement: Area How do we measure area? If you know the full perimeter and the length of the ‘cut out’, you can subtract the area that is missing A A=Lx. W A=5 mx 7 m A = 35 m 2 Total Area - 35 7 m B A=Lx. W 2 m A=3 m. X 3 m A = 9 m 2 – 9 m 2 = 26 cm 2 3 m 3 m A 5 m B 4 m

Measurement: Area Use the two methods the complete MG 3 Area of composite rectangles.

Learning Intentions • I am learning to solve problems involving length and area. Success Criteria I know I am successful because… • I can solve problems involving the comparison of lengths and areas using appropriate units.

Measurement Splish Spash Pools MG 4 Investigating Squares & Rectangles 1. What is the area of each pool? 2. Which one is best value for money? 3. What are the rules when the length of the sides increase by one each time. 4. Challenge: If you double the length of every side on a rectangle, does the are double too? Prove by create a table in your grid book.

Learning Intentions • I am learning to choose appropriate units of measurement to perform a calculation. • I am learning to solve problems involving length and area. Success Criteria I know I am successful because… • • I can convert between common metric units of length, mass and capacity. I can solve problems involving the comparison of lengths and areas using appropriate units.

Measurement: Packing and Stacking Perimeter and Area and the basic information needed to work out volume. Volume is important for packing and stacking of 3 D objects.

Measurement: Surface Area Using the poppers. • How can you find the surface area of this carton containing the six boxes? 2 0 • Work out the length, width of height of the carton. • L = 9 cm W = 4 cm H = 5 cm • Draw a net of the carton. 5 20 45 5 36 4 5 2 0 20 45 4 5 3 6 • Calculate the area of each face. • Add to find the total surface area. 4 9 4 36 9 + 3 6 2 0 2 cm 2

Measurement: Volume • Whole class example of Muesli Puffs • MG 5 Packing & Stacking

Measurement: Volume

Measurement: Volume Problem Solving

Measurement: Volume Challenge

Learning Intentions • I am learning to connect decimal representations to the metric system. • I am learning to choose appropriate units of measurement to perform a calculation. • I am learning to solve problems involving length and area. Success Criteria I know I am successful because… • • • I can connect decimal representations to the metric system. I can convert between common metric units of length, mass and capacity. I can solve problems involving the comparison of lengths and areas using appropriate units.

Measurement Assessment Task 1 • Rachel is taller than 140 cm and shorter than 150 cm. • Daniel is 22 cm taller than Rachel. • Adam is 5 ½ cm shorter than Daniel. • How tall could each of the three be in metres? • Are there more than 1 possibility? Task 2 • The area of a rectangle is 36 cm squared. • What could the side lengths be? • Are there any other possibilities? • How do you know you are right? •

Learning Intentions Measurement & Geometry Units of Measurement • I am learning to connect decimal representations to the metric system. • I am learning to choose appropriate units of measurement to perform a calculation. • I am learning to solve problems involving length and area. Success Criteria I know I am successful when I… Measurement & Geometry • Using units of measurement • I can connect decimal representations to the metric system. • I can convert between common metric units of length, mass and capacity • I can solve problems involving the comparison of lengths and areas using appropriate units.