The lesson plans for primary school and worksheets include adaptations for students with special educational needs:
– aphasia (A)
– autism spectrum disorder (ASD)
– mild intellectual disability (ID)
General guidelines for working with students with these educational needs during this teaching cycle can be found HERE.
CYCLE 1. Mathematics – Upper primary school
„Understanding graphs and relationships”
The aim of this teaching cycle is to develop an intuitive understanding of different types of relationships and their graphs. Throughout the lessons, students create and explore graphs that show how distance changes over time through embodied activities.
This teaching cycle is designed for students in the final grades of primary school, who are not yet familiar with the concept of function. The formal definition of a function is not introduced in this teaching cycle.
Learning environment 1. 1 „We create and interpret graphs describing movement”
1.1. Learning environment – We create and interpret graphs describing movement
1.1. Learning environment with adjustments for students with special educational needs (A, ASD, ID) – We create and interpret graphs describing movement
MAT PRIMARY PreTest
MAT PRIMARY PreTest_(A)
MAT PRIMARY PreTest_(ASD)
MAT PRIMARY PreTest_(ID)
MAT PRIMARY Worksheet 1
MAT PRIMARY Worksheet 1_(A)
MAT PRIMARY Worksheet 1_(ASD)
MAT PRIMARY Worksheet 1_(ID)
MAT PRIMARY Worksheet 2
MAT PRIMARY Worksheet 2_(A)
MAT PRIMARY Worksheet 2_(ASD)
MAT PRIMARY Worksheet 2_(ID)
Learning environment 1. 2 „We describe motion using graphs”
1.2. Learning environment – We describe motion using graphs
1.2. Learning environment with adjustments for students with special educational needs (A, ASD, ID) – We describe motion using graphs
MAT PRIMARY Worksheet 3
MAT PRIMARY Worksheet 3_(A)
MAT PRIMARY Worksheet 3_(ASD)
MAT PRIMARY Worksheet 3_(ID)
Learning environment 1. 3 „We discover types of relationships”
1.3. Learning environment – We discover types of relationships
1.3. Learning environment with adjustments for students with special educational needs (A, ASD, ID) – We discover types of relationships
MAT Primary Worksheet 4
MAT Primary Worksheet 4_(A)
MAT Primary Worksheet 4_(ASD)
MAT Primary Worksheet 4_(ID)
Learning environment 1.4 „Changing rate of change”*
1.4. Learning environment – Changing rate of change
1.4. Learning environment with adjustments for students with special educational needs (A, ASD, ID) – Changing rate of change
MAT Primary Worksheet 5
MAT Primary Worksheet 5_(A)
MAT Primary Worksheet 5_(ASD)
MAT Primary Worksheet 5_(ID)
MAT Primary Worksheet 6
MAT Primary Worksheet 6_(A)
MAT Primary Worksheet 6_(ASD)
MAT Primary Worksheet 6_(ID)
MAT Primary Worksheet 7
MAT Primary Worksheet 7_(A)
MAT Primary Worksheet 7_(ASD)
MAT Primary Worksheet 7_(ID)
MAT Primary PostTest
MAT Primary PostTest_(A)
MAT Primary PostTest_(ASD)
MAT Primary PostTest_(ID)
CYCLE 2. Mathematics – Secondary school
Learning environment „Discovering and exploring functions through motion analysis”
The aim of this teaching cycle is to develop students’ understanding of functional relationships, to build an intuitive sense of the concept of a function and its graph, to discover (Version B) or recall (Version C) the conditions that define a function, and to strengthen students’ ability to use function graphs to model real-life situations involving motion.
Throughout the lessons, students create and investigate graphs that represent changes in distance over time through embodied experiments.
This teaching cycle is designed for upper-secondary students, both as an introduction to the concept of a function and as an opportunity to apply functions to motion analysis and mathematical modelling.
The teaching cycle includes the following topics:
1. Creating and interpreting graphs describing motion,
2. Describing motion using graphs,
3B. Discovering and exploring functions through motion analysis,
3C. Functional relationships in the analysis of motion,
4. Changing rate of change.
Learning environments (B and C) – Discovering and exploring functions through motion analysis
MAT Secondary PreTest
MAT Secondary Worksheet 1
MAT Secondary Worksheet 2
MAT Secondary Worksheet 3
MAT Secondary Worksheet 4
MAT Secondary Worksheet 5
MAT Secondary Worksheet 6
MAT Secondary Worksheet 7
MAT Secondary PostTest
CYCLE 3
Lesson Topic: „Frames of Reference. Describing Motion”
Lesson plan with adaptations – special educational needs (A, ASD, NI)
Teacher’s materials: pre- and post-lesson test
Teacher’s materials: pre- and post-lesson test. (A)
Teacher’s materials: pre- and post-lesson test (ASD)
Teacher’s materials: pre- and post-lesson test (NI)
CYCLE 4
Lesson Topic: „Road in Rectilinear Motion”
Lesson plan with adaptations – special educational needs (A, ASD, NI)
Teacher’s materials pre-lesson test
Teacher’s materials pre-lesson test (A)
Teacher’s materials pre-lesson test (ASD)
Teacher’s materials pre-lesson test (NI)
Teacher’s materials test after the lesson
Teacher’s materials test after the lesson (A)
Teacher’s materials test after the lesson (ASD)
Teacher’s materials test after the lesson (NI)
CYCLE 5
Lesson Topic: „Average and Instantaneous Velocity”
Lesson plan with adaptations – special educational needs (A, ASD, NI)
Student Worksheet 1
Student Worksheet 2
Teacher’s Guide – Importing Data into a Spreadsheet
Sample Ms Excel sheet – data analysis, formulas
CYCLE 6
Lesson Topic: „Free Falling Bodies”
Lesson plan with adaptations – special educational needs (A, ASD, NI)
Teacher’s materials pre-lesson test
Teacher’s materials pre-lesson test (A).
Teacher’s materials pre-lesson test (ASD).
Teacher’s materials pre-lesson test (NI).
Free falling bodies – an example of data analysis in Excel
Teacher’s materials test after the lesson (A).
Teacher’s materials test after the lesson (ASD.)
Teacher’s materials test after the lesson (NI).
Teacher’s Manual – Data Import
Teacher’s Guide – Spreadsheet Data Analysis
Sample Ms Excel spreadsheet for velocity and acceleration analysis
Sample Ms Excel spreadsheet – analysis of falling bodies
CYCLE 7
Lesson Topic: „Description of Oscillatory Motion”
Lesson plan with adaptations – special educational needs (A)
Lesson plan with adaptations – special educational needs (ASD)
Lesson plan with adaptations – special educational needs ( NI)
Teacher’s materials: pre- and post-lesson test.
Teacher’s materials: pre- and post-lesson test (A)
Teacher’s materials: pre- and post-lesson test (ASD)
Teacher’s materials: pre- and post-lesson test (NI)
Teacher’s manual: import, data analysis, experiment with a mathematical pendulum