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PROPERTIES OF GEOMETRICAL FIGURES Stage 5.1 - Coggle Diagram
PROPERTIES OF GEOMETRICAL FIGURES
Stage 5.1
Lesson 1
Introducing similarity
2.1 Introducing similar figures
The basic definition of similar figures 'two figures have the same shape' will be introduced using real-life examples and ICT tools
2.2 ICT group activity -
Students practice their understanding of similar figures using ICT tools and share their thoughts after the activity in class (Reasoning)
ICT diagnostic activity (short quiz) - Recall prior knowledge on congruent figures in stage 4 (After introducing the Unit to students)
Wrap up activity
Students use their learning in this lesson to find similar figures in schools. This activity will act as an engaging test for students to confirm their learning.
Overall: Lesson 1 contains content in congruent figures (prior knowledge), similar figures (basic definition) and ICT activities for students
Lesson 3
Matching similarity
ICT teaching - Teaching students the correct form of matching the sides and angles of similar figures
ICT group activity
Students create their own similar figures and practice how to form a similarity statement.
ICT individual activity (AFL)
Revise the content in the previous lesson - the difference between congruent and similar.
Wrap up - ICT individual activity (AOL)
Students create their own mindmap to summarise their learning from the three lessons.
Overall: Lesson 3 contains concepts of congruent statement (prior knowledge), matching the sides and angles of similar figures, and ICT activities / AFL & AOL for students.
Lesson 2
Explaining similarity
2.1 LIT individual activity
Recall students' prior knowledge of types of geometric figures and their corresponding features.
2.2 ICT group activity
Students discover the feature of congruence and similarly in squares. They will share their thoughts after the activity - practicing their ability in problem-solving and communicating.
ICT group activity (AFL)
Students investigate whether any two rectangles could always be similar. They will share and explain their thoughts after the activity - practicing their ability in problem-solving and reasoning.
Wrap up
Teachers summary the lesson and emphasis the main content again.
1.Revise the content in the previous lesson - the definition of similar figures.
Overall: Lesson 2 contains knowledge in types and features of geometric figures (prior knowledge), how to distinguish between congruent and similar figures, and LIT and ICT activities / AFL for students.
Lesson 8
Real life application using scale factor
Introduce the lesson - students brainstorm the real-life situations that we can use similar figures to solve the questions
ICT activity (similar ratios) - demonstrate the video to students and allow them to work through it step by step. This is both a revision and introduction activity for students.
ICT activity (similar shadows) - students work in pairs and adjust the objects/time to meet the requirement and solve for answers.
Worksheet activity - assess students' understanding, students will need to answer the questions in the worksheet provided
Overall: Find lengths that are impractical to measure directly in real life using scale factors.
Lesson 7
Calculate unknown sides in similar triangles using proportion statement
Worksheet activity - recall prior knowledge of using scale factor to find unknown sides in similar triangles
2.1 Scale factor vs. Proportion statement PPT - recall definitions of scale factor and proportion statement, then compare their differences
2.2 Show working process - use the questions from the "Worksheet activity" then demonstrate the working process of using proportion statement to solve questions
ICT activity (GeoGebra) - work in pairs, students can adjust the questions and use proportion statement to figure out the answers.
Existing card - wrap up activity for students to think about what they learned and what they still confuse in this lesson, then teacher can adjust the teaching plan in next lesson.
Overall: Using proportion statement to find out the unknown sides in similar triangles.
Lesson 4 - Getting to know about the scale factor
1.1 ICT activity
Students will watch a 2-minute video to develop a general idea of scale factor
1.2 ICT activity
The teacher uses GeoGebra to help students understand the range of the scale factor and how does the range affect the shape of the diagram.
Individual activity (AFL)
The teacher uses worksheet to guide students understand constructing scale drawings: the enlargement and reduction of cartoon diagrams.
3.1 Wrap-up LIT activity (AFL)
Students work in pairs to practice how to reduce and enlarge diagrams through communicating and learning from peers.
3.2 Wrap-up Quiz (AFL)
Students do a short quiz to check their understanding and the teacher gets feedback to prepare for the next lesson.
Overall:
Lesson 4 introduce new concepts of "scale factor" and "scale drawing", and there are ICT and LIT activities with AFL strategies.
Lesson 6 - Scale factor in similar triangles
ICT activity (similar triangles)
The teacher uses GeoGebra to show how the change of scale factor affect angles and side lengths in similar triangles.
2.1 AFL (practice question)
The teacher use worksheet to guide students to do a practice question about finding the unknown sides in similar triangles.
2.2 LIT activity (information gap)
Students use worksheet A and worksheet B to do this activity and figure out the unknown sides in similar triangles by themselves through communication.
AFL (short quiz)
Before students leave, they will complete a simple quiz to check their understanding. The teacher collect the feedback from the quiz and prepare for the next lesson.
Overall
This lesson combines ICT and LIT activities together with AFL strategies to help student apply scale factors in similar triangles to find the unknown sides.
Lesson 5 - Scale factor in polygons and circles
ICT activity (polygons)
The teacher uses GeoGebra to demonstrate how the sides and angles in similar polygons change when the scale factor is chanigng.
ICT activity (circles)
GeoGbra is used by the teacher to show how the radius changes when the scale factor is changing. Then the teacher can use the formula of perimeter and area to explain how these 2 things change when the radius is changing (i.e. the scale factor of perimeter and area).
LIT activity - Group work(AFL)
Students complete the worksheet to develop deeper understand towards the real-life application of scale factors in polygons.
Overall
The ICT and LIT activities with the AFL strategies help students to hence understanding of scale factors, and introduce the use of scale factors in mathematical shapes (polygons and circles)and real-life situations (red STOP).