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3. INEQUALITIES
“Good math = math you want to talk about.”
― George Gadanidis
INEQUALITIES MENU | MATH + CODING MENU |
3. Inequalities — In the classroom 3A. Inequalities in 1D, 2D & 3D 3B. Puzzle 1 3C. Puzzle 2 3D. Puzzle 3 3E. Puzzle 4 | Home page 1. Squares and spirals — introducing variables [gr. 3-9] 2. Making 10 — random coordinates line up [gr. 1-10] 3. Inequalities — in 1D, 2D & 3D [gr. 1-10] 4. Infinity — it’s big but fits in your hand [gr. 3-12] 5. Binary choice — probability, Pascal’s triangle & algebra [gr. 1-12] |
Inequalities + Coding
IN THE CLASSROOM
Ontario Curriculum
- Gr. 1/2
- B2.2 – addition facts up to 10/20
- Gr. 3-8
- C3.1 – solve problems and create computational representations of mathematical situations by writing and executing code
- Gr. 4-8
- C2.3/C2.4 – solve inequalities and verify and graph solutions
- Gr.5-8
- C3.2 – read and alter existing code, (including code that involves conditional statements and other control structures)
- Gr. 6-8
- C1.2 – linear growing patterns, constant rates & initial values
- Gr. 9
- C1.1 – research an algebraic concept to tell a story
- C4.2 graph relations represented as algebraic equations and their associated inequalities, and identify various characteristics and the points and/or regions defined by these equations and inequalities
- C2 – apply coding skills to represent mathematical concepts and relationships dynamically, and to solve problems, in algebra and across the other strands
- Gr. 10
- inequalities
Implementation
- Gr. 1-2
- Students find pairs of numbers whose sum is less than 10 (_+_<10).
- Gr. 3-9
- Students use masking tape and a string taped from the floor to the ceiling to represent 3D coordinates in the classroom.
- Students discuss the meaning of x > 3 in 1D, 2D and 3D.
- Gr. 3-10
- Students use Scratch code that plots an inequality in 2D, they solve puzzles where they edit the code to match other inequality plots.
- The complexity of the plots varies with grade level.
3A. INEQUALITIES in 1D, 2D & 3D
Using masking tape, divide the classroom floor using x and y axes, and add a scale to each axis, from -5 to 5. Then, tape a string vertically, from where the x/y axes meet to the ceiling.
Q1. If you live on the x-axis (in 1D), where is x > 3?
Q2. If you live on the x-y plane (in 2D), where is x > 3?
Q3. If you live on the x-axis (in 3D), where is x > 3?
3B. PUZZLE 1
Q4. Run the code below at https://scratch.mit.edu/projects/540216861/editor
- What does the code do?
- How does it do it?
Q5. Edit the code to get the following inequality graphs.
3C. PUZZLE 2
Q6. Run the code below at https://scratch.mit.edu/projects/540229313/editor
- What does the code do?
- How does it do it?
Q7. Alter the code as shown below.
- Predict how the output will change.
- Run the code to test your prediction.
- Explain the result.
A.
B.
Q8. Alter the code to get the output shown below.
Q9. Alter the code as shown below. [Notice that AND changed to OR]
- Predict how the output will change.
- Run the code to test your prediction.
- Explain the result.
3D. PUZZLE 3
Q10. Run the code below at https://scratch.mit.edu/projects/1059421111/editor
- What does the code do?
- How does it do it?
Q11. Edit the code to get each of the following.
3E. PUZZLE 4
Q12. Run the code below at https://scratch.mit.edu/projects/540225499/editor
- What does the code do?
- How does it do it?
Q13. Alter the code as shown below.
- Predict how the output will change.
- Run the code to test your prediction.
- Explain the result.
Q14. Alter the code as shown below.
- Predict how the output will change.
- Run the code to test your prediction.
- Explain the result.
Q15. Alter the code as shown below.
- Explain the result.
- Predict how the output will change.
- Run the code to test your prediction.
INEQUALITIES MENU | MATH + CODING MENU |
3. Inequalities — In the classroom 3A. Inequalities in 1D, 2D & 3D 3B. Puzzle 1 3C. Puzzle 2 3D. Puzzle 3 3E. Puzzle 4 | Home page 1. Squares and spirals — introducing variables [gr. 3-9] 2. Making 10 — random coordinates line up [gr. 1-10] 3. Inequalities — in 1D, 2D & 3D [gr. 1-10] 4. Infinity — it’s big but fits in your hand [gr. 3-12] 5. Binary choice — probability, Pascal’s triangle & algebra [gr. 1-12] |
by George Gadanidis, PhD