Contents:
Lesson 1
Lesson 2
Lesson 3
Lesson 4
Lesson 5
Lesson 6
VELS:
In Measurement, chance and data, students use metric units to estimate and measure length, perimeter, area, [surface area, mass, volume, capacity, angle] in shapes [and solids, time, and temperature]. They convert metric units into smaller or larger units as required. They use mensuration formulas (for example, for area and perimeter of circles, area and perimeter of triangles and parallelograms, [and the surface area and volume of prisms and cylinders]).
At Level 5, students measure length, perimeter, area, [surface area, mass, volume, capacity, angle, time and temperature] using suitable units for these measurements in context. They interpret and use measurement formulas for the area and perimeter of circles, triangles and parallelograms and simple composite shapes.
Lesson 1:
Starter Question:
"How many ways can you think of multiplying 27 x 43?"
Learning Objective:
"To discover useful ways to representing multiplication using arrays."
Key Learning Points:
Establishing a visual depiction "Chunking" multiplication method
Matrials:
Grid Paper
Strategies:
Direct Instruction
Class Discussion
Lesson Timeline:
Starter Question
-Normal Sum
-Different Sum
-"Double and Half"
-"Russian Peasant"
-"Gelosia Method"
-"Chuncking"
Direct Instruction:
Using the following method to depict our original problem, we can break the multiplication array into 4 manageable chunks (tens*tens, units*tens, tens*units, units*units).
Students must represent the following using the graphical chunking method:
-24 x 36
-57 x 12
-33 x 48
-42 x 50
Nelson Maths 8 - Multiplication
Lesson 2:
Starter Question:
-"What methods do we know for finding the area of this shape?"
-"What's it called?"
-"And the perimeter?"
Learning Objective:
"To find useful rules for calculating the area."
Key Learning Points:
Establishing rules for areas/perimeters of rectangles, parallelograms, rhombuses, triangles
Extension Work:
Nelson Maths 8 - 8.05 Q 6-8
Strategies:
Direct Instruction
Group Discussion
Lesson Timeline:
Starter Questions
Class Discussion
Counting Sheep- Mr Bean (Arrays for multiplication)
-"How does our area work relate to arrays?"
-"How can we find a perimeter for this shape?"
Nelson Maths 8 - 8.03, Q3, 4
Class Discussion
-"What about an area?"
Nelson Maths 8 - 8.05, Qs 2-5
Class Discussion
-"So how would we calculate this area/perimeter?" (Composite shapes)
Lesson 3:
Starter Question:
"How would we calculate the areas for these shapes?" (Composite shapes)
Learning Objective:
"To put to use our knowledge of rules for finding area and perimeter to help us deal with more complex shapes."
Key Learning Points:
Review formlae for area/perimeter
Materials:
Review Activity [4.1.2: Gulliver Dines with the Mathematicians
(Source: Impact Math – Measurement)]
Composite shapes worksheet
Extension Work:
Nelson Maths 8 - 8.05 Q 6-8 continued
Strategies:
Direct Instruction
Class Discussion
Assessment:
Collect Worksheet
Lesson Timeline:
Starter Question
Gulliver Dines with the Mathematicians
Class Discussion
Composite Shapes Worksheet
Maths Online: Area
Homework:
Mathletics: Area
Lesson 4:
Starter Question:
"What do we call the distance from the centre of a circle to the outside?"
"What's the distance around the outside of a shape called? Does anyone know what it's called when we're talking about circles?"
Learning Objective:
"To work out relationships between parts of the circle."
Key Learning Points:
To understand which is the radius, diameter, circumference
To know how to derive one from the other
To discover pi and its significance
Materials:
Worksheets
Class set: scissors, glue
Activities:
Circle Properties Worksheet
Extension Work:
Nelson Maths 8 - 8.03, 8
Strategies:
Direct Instruction
Class Discussion
Assessment:
Collect Worksheet
Lesson Timeline:
Starter Question
Class Discussion
Nelson Maths 8 - 8.03, 5-7 (every 3rd question for 5,6)
Class Discussion
Circle Properties Worksheet
Class Discussion
-Discussion on ratios, C/D = pi, D/r = 2
Mathletics: Circles
Homework:
Have a look at: Maths Online: Area of a Circle
Lesson 5:
Starter Question:
-Review of circle properties
Learning Objective:
"To find a way to calculate the area from the other properties of a circle"
Key Learning Points:
Re-introduce pi, give further uses
Review parts of a circle
Materials:
Activities:
Discovering Area of a Circle
Area of a Circle Worksheet
Extension Work:
Nelson Maths 8 - 8.04 Qs 7,8
Area of a Circle Worksheet, questions 6, 7
Strategies:
Direct Instruction
Class Discussion
Assessment:
Collect Worksheets
Lesson Timeline:
Starter Question
Class Discussion
-"How many times does the diameter fit around the circumference?"
-"How many times does the radius fit into the diameter?"
Nelson Maths 8.01, Q 6, 7 - Reintroduce pi
Discovering Area of a Circle
-Derive A = pi*r^2 from their knowledge of areas of parallelograms
Area of a Circle Worksheet (without last page)
Class Discussion
-"Did we come up with any other ways to get [circle property] when we didn't know what the [circle property] was?"
Nelson maths 8 - 8.04, Qs 3-6 (every second question)
Talk about upcoming test
-Direct students to revise Maths Online/Nelson maths for appropriate content
Homework:
Finish: Nelson maths 8 - 8.04, Qs 3-6 (every second question)
Lesson 6:
Starter Question:
"How would we calculate the perimeter of this compound shape? And the area?"
Learning Objective:
"To use our knowledge of circle properties to compound shapes."
Key Learning Points:
To review formulae for area/perimeter
Introducing formulae for circles to compound shapes questions
Materials:
Worksheet/Test (Below)
Activities:
Composite Shapes Review Worksheet
Strategies:
Direct Instruction
Class Discussion
Assessment:
The sheet will be collected at the end of class, as a means of testing
Lesson Timeline:
Starter Question
Class Discussion
-"What about if we don't have a whole circle?"
-"What do we know about the perimeter of a half circle?"
Test
Maths Games (quietly! The students have some favourites as part of their netbook image- it's hard to get them to stop playing them!)
