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maths Subject / ‫لموضوع‬
Unit Plan / ‫الوحدة‬
Topic / ‫الموضوع‬
geometry
Grade / ‫الصف‬
10
Duration / 8 ‫الفترة‬
Semester 1/ ‫الفصل الدراسي‬
‫ أهداف التعليم‬/‫معايير المنهج‬
Curriculum standards / learning objectives
Curriculum Standards
6.1 Use knowledge of angles at a point, angles on a straight line, and alternate
and corresponding angles between parallel lines and a transversal line to
present formal arguments to establish the congruency of two triangles.
6.2 Establish the congruency of two triangles to generate further knowledge and
theorems about triangles, including proving that the base angles of an isosceles
triangle are equal and that the line joining the mid-points of two sides of a
triangle is parallel to the remaining side.
6.3 Understand similarity of two triangles and other rectilinear shapes, knowing
that similarity preserves shape and angles, but not size; make inferences about
the lengths of sides and about the areas of similar figures; prove that if two
triangles are similar, then the ratio of the areas of the two triangles is the square
of the ratio of any pair of corresponding sides of the two triangles chosen in the
same order; in three dimensions, calculate the ratio of the volume of a scale
model to the volume of the actual object.
Supporting Standards
9.5.1 Use knowledge of angles and properties of 2-D shapes to conjecture or
deduce properties in a given plane figure.
10f 6.4 Calculate the interior and exterior angles of regular polygons; name
polygons with up to ten sides.
9.5.4 Identify congruent triangles and their corresponding angles and sides;
know the conditions of congruence and determine whether two triangles are
congruent.
9.5.3 Identify similar triangles and their corresponding angles and sides.
‫ المعايير‬/ ‫اهداف التعليم‬
On going standards
1.10 Approach a problem systematically, recognising when it is important to
enumerate all outcomes.
1.6 Develop short chains of logical reasoning, using correct mathematical
notation and terms.
1.7 Explain their reasoning, both orally and in writing.
1.8 Generate simple mathematical proofs, and identify exceptional cases.
1.11 Use ICT to explore geometrical relationships.
Learning Objectives
Remember properties of angles at a point
Remember properties of angles on a straight line
Remember properties of angles on parallel lines
How to identify congruent triangles
To know how to prove two triangles are congruent (sss, sas, rhs,asa)
Prove base angles of an isosceles triangle are equal
How to recognise similar triangles
To know how to prove two triangles are similar (aaa, or proportional sides)
Use similar triangles to prove other results eg line joining midpoints is parallel to
base
Use similar and congruent triangles to find unknown lengths and angles
Extension Standards
10f 6.5 Know the standard trigonometric ratios, and their standard
abbreviations, for sine of , cosine of  and tangent of , given an angle  in a
right-angled triangle; use these ratios to find the angles of a right-angled triangle
given two sides, or to find the remaining sides given one side and one angle.
11f 6.2 Solve right-angled triangles using the standard trigonometric ratios,
including tan  = sin  / cos , and/or Pythagoras’ theorem.
‫التقييم كيف يتم تجميع أدلة على االنجازات‬
Assessment  How will achievement evidence be collected?
Tick the ways n which you will assess the students
 Teacher Observation‫مراقبة المعلم‬
 Book work‫كتاب التدريبات‬
 Pre / post test‫ بعد‬/‫اختبار قبل‬
 Teacher conference ‫اجتماع المدرسين‬
 Journal‫مذكرة شخصية‬
 Portfolios‫الملفات‬
 Investigation ‫التحري‬
 Quiz‫اختبار باألسءلة‬
 Sample task ‫نموذج للمهمة‬
 Practical skills test‫اختبار المهارات العملية‬
 Self assessment‫التقييم الذاتي‬
 Criteria based assessment ‫التقييم‬
 Peer assessment‫تقييم زميلك في الصف‬
‫المرتكز على المعايير‬
 Other ‫أشياء أخرى‬
‫عالقتها بالموضوعات الخاصة‬
Links with other subjects
Describe any ways you will integrate this unit with other subjects.
Vocabulary
‫المفردات‬
Students should understand, use and spell correctly:
• triangle, corresponding, alternate, proof, ratio, perpendicular, bisect,
intersection, isosceles, rhombus, hypotenuse, right angle
•
similar, congruent
Methodology Check List: Tick here the types of Student Centred Activity you will use this in Unit
Posters Matching Activity Collaborative Group Work Pair Work
Independent Research
Role play Flash Cards
Problem solving Differentiation Group debate or discussion Jigsaw Graphic organizer Modeling Projects Maths Stories
Loop Game
Puzzles Textbook Worksheet Correcting Reasoning Ordering Reasoning
‫الفروض‬
‫المنزلية‬
Homework
Please list
and attach
any
homework
sheets that
you have
created
‫المصادر و التجهيزات‬
Resources &
equipment
List the student
centred activities that
you have created and
have attached to the
unit plan
Give the page and
questions numbers of
appropriate problems
from the text book that
students could solve
Give details of any
computer software
needed
Give details of any
practical equipment
needed
‫التقييم‬
Assessment
‫كيف أقوم بالتدريس فعاليات الدرس‬
How will we teach? (lesson activities)
Write in here
how you will
assess the
students
Give suggestions as to how you will
teach. Please attach copies of any
student centered activities that you have
created to the unit plan
Examples
Examples
Mark student
notebooks
Mark student
homework
Students will sit
unit test
Students will
complete short
quiz at end of
lesson
Use the puzzle on polygons as a starter
activity
Students will create a poster in groups
for the key vocabulary in English and
Arabic
Students will work in pairs to solve
problems from the text book on angles in
polygons
Students will work in groups to complete
a matching activity about the names of
polygons, the interior and exterior angles
Students will work in groups to put a
series of statements in order to solve a
problem
Worksheet of problems to be used as a
formative assessment…..\ibrahim must
provide worksheet and attach to unit plan
Unit test at end
of unit
Verbal check of
learning
objectives at
end of lesson
Short quiz at
end of lesson
Look in text book for examples for
students
‫محصلة و ناتج التعلم‬
Learning outcome/s
‫الزمن‬
Time
CS
Copy the learning objectives for this
lesson from the top page
Copy
the
relevant
CS
numbers
here
Write in
here the
number
of
periods
needed
for this
lesson
Remember properties of angles at a
point
Remember properties of angles on a
straight line
Remember properties of angles on
parallel lines
6.1
How to identify congruent triangles
To know how to prove two triangles are
congruent (sss, sas, rhs,asa)
How to recognise similar triangles
To know how to prove two triangles are
similar (aaa, or proportional sides)
6.2
2
6.3
2
Prove base angles of an isosceles
6.2, 6.3
2
2
Look in mep electronic for activities
Vocabulary sheets
Need 4 ideas for activities
Unit test at end
of unit
Need 4 ideas for activities
Unit test at end
of unit
Need 4 ideas for activities
Unit test at end
Need 4 ideas for activities
of unit
triangle are equal
Use similar and congruent triangles to
find unknown lengths and angles