Tues 11th Jun - Mathematical Constructions

LEARNING OBJECTVIE: To understand how to accurately construct a line bisector, an angle bisector ...without using a measuring device.

SUCCESS CRITERIA: You will be able to use a pencil, ruler and pair oc compasses to construct a variety of constructions

ENGAGEMENT ACTIVITY: Why We Learn about Constructions

LESSON: Discuss above article and then look at setting up and using a pair of compasses accurately.

Then show and practice the following constructions

Perpendicular bisector of a line segment

Bisecting an angle

Extension: Choose other constructions from this List

Copy a line segment

Perpendicular bisector of a line segment

Perpendicular from a line at a point

Perpendicular from a line through a point

Perpendicular from endpoint of a ray

Divide a segment into n equal parts

Parallel line through a point (angle copy method)

Parallel line through a point (rhombus method)

Angles

• Bisecting an angle
• Copy an angle
• Construct a 30° angle
• Construct a 45° angle
• Construct a 60° angle
• Construct a 90° angle (right angle)
• Constructing  75°  105°  120°  135°  150° angles and more

Triangles

• Copy a triangle
• Isosceles triangle, given base and side
• Isosceles triangle, given base and altitude
• Equilateral triangle
• Triangle medians
• 30-60-90 triangle, given the hypotenuse
• Triangle, given 3 sides (sss)
• Triangle, given one side and adjacent angles (asa)
• Triangle, given two sides and included angle (sas)
• Incircle of a triangle
• Circumcircle of a triangle

Triangle Centers

• Triangle incenter
• Triangle circumcenter
• Triangle orthocenter
• Triangle centroid

Circles, Arcs and Ellipses

• Finding the center of a circle
• Circle given 3 points
• Tangent at a point on the circle
• Tangents through an external point
• Focus points of a given ellipse

Polygons

• Hexagongiven one side
• Hexagon inscribed in a given circle
• Pentagon inscribed in a given circle

Non-Euclidean constructions

• Construct an ellipse with string and pins
• Find the center of a circle with any right-angled object

Tuesday 16th / Wedw 17th April - Mahs Trust Challenges

LEARING OBJECTIVE: Enhance Problem Solving Skills
SUCCESS CRITERIA: You wIll be able to solve a variety of maths problems and challenges.

LESSON: Hand out the year 8 and below challanges. Students to work in pairs to  see who gets the highest score.

Tues / Weds - Higher level Exam question Revision, through past papers

LEARNING OBJECTIVE:



LEARNING OBJECTIVE: To Work through Zig Zag past papers, Online revision questions and selected loop card activities.

SUCCESS CRITERIA: You will gain a grade A or A* the Zig Zag Papers completed

ENGAGEMENT ACTIVITY: Use Mr Bartons Higher level Starters

LESSON: Hand out papers, encourage working in isolation - no discussion of questions.

Encourage individual loop card activities to hone particular weaknesses

Week Beginning 25th Mar - Probability Problems

LEARNING OBJECTVIE: To Develop Problem Solving Skills

SUCCESS CRITERIA: YOu will have a better understanding as to how to go about solving probability Problems

STARTER: 4 pics 1 word

LESSON ACTIVITIES:

The Better Bet
Win or Lose
Gambling at Monte CArlo


extension

Logic Gates and Truth Tables

Week Beginning 18th Mar - Problem Solving

LEARNING OBJECTIVE: Practice developing strategies to solve problems.

SUCCESS CRITERIA: You will develop better strategies for solving mathematical problems. You will understand the need for a methodical approach to writing down your solutions / suggestions and proofs.

STARTER: Easter Egg Hunt Mysteries - Which Shop and Where are the eggs

Lesson Activities

F'Arc'Tion

Does Amelie Get to the Fashion Show On time?

Nutrition and Cycling

1. Encourage explanation of answers
2. Encourage Systematic approach
3. Encourage Proving algebraically where appropriate

Tues 12th March - SOlving Mathematical Problems methodically

LEARNING OBJECTIVE: Practice developing strategies to solve problems.

SUCCESS CRITERIA: You will develop better strategies for solving mathematical problems. You will understand the need for a methodical approach to writing down your solutions / suggestions and proofs.

ENGAGEMENT ACTIVITY:  Two plus Two

LESSON:
Here is one idea that might help you get started

Possible approaches

How would you solve this problem?

861

+???

1427

What about this problem, where a,b and c are all different numbers

   bb

+cb

acc

Let b be 1 then 2 then 3 .... can you discard any numbers quickly? 

Why? What are you left with? Can you prove anything?

How many solutions to TWO + TWO = FOUR are there? Proof

?

EXTENSION:

What ABout these two sums

Key questions

Are we certain we have considered all the possibilities?

Possible extension

Which other word sums work? - eg

ONE + ONE = TWO

FOUR + FIVE = NINE

Which definitely don't work? - eg

ONE + TWO = THREE

ONE + THREE = FOUR

More Problems

Peaches TOday / Peaches Tomorrow
F'Arc'Tion
Nutrition and Cycling

THurs - 7th March - problem Solving

LEARNING OBJECTIVE: To further develop problem solving skills

SUCCESS CRITERIA: YOu will be bale to apply these problem solving strategies to further problems and situations

STARTER: Put this problem on IWB, Allow time for students to investigate and try out their solutions using interactive solution on IWB:

HINT Label the 4 people A,B,C,D (Largest to smallest. Can you write down algebraic explanations of the two different strategies

Tease strategies out of them and use the extension activity to get them thinking about when to use the alternatives strategies developed.

4 Students to continue working on D2 Problems

Further Problems (If Needed)
 Air Nets
Lots of Short Transformation / Visualization Problems
Speed time Problems at the Olympics
Interactive Games