Here is an overview of the main subsections of Algebra 3 in the Kawartha Pine Ridge District School Board's math scope and sequences for grade 4, along with sample problems and videos teaching about the included topics.
Variables and Expressions
Equalities and Inequalities
Coding Skills
Mathematical Modelling
1. Variables and Expressions
Description: This subsection focuses on understanding and using variables in expressions and equations.
Objective: Students will learn to identify and use symbols as variables in expressions and equations.
Driving Question: How can we use symbols to represent unknown quantities in math?
Outcome: Students will be able to translate among words, algebraic expressions, and visual representations that describe equivalent relationships.
Sample Problem:
Write an expression for the total number of apples if you have aaa apples and you buy 3 more.
Solution: a+3a + 3a+3
Video Resource:
2. Equalities and Inequalities
Description: This subsection covers solving equations and inequalities involving whole numbers and understanding their solutions.
Objective: Students will solve equations and inequalities involving multiple terms and whole numbers.
Driving Question: How can we determine if two expressions are equal or not?
Outcome: Students will solve equations and inequalities and verify solutions.
Sample Problem:
Solve the equation: 2x+3=112x + 3 = 112x+3=11
Solution: x=4x = 4x=4
Video Resource:
3. Coding Skills
Description: This subsection integrates coding with math by teaching students to write and execute code that represents mathematical situations.
Objective: Students will solve problems and create computational representations by writing and executing code.
Driving Question: How can coding help us solve mathematical problems?
Outcome: Students will write and execute code involving sequential, concurrent, repeating, and nested events.
Sample Problem:
Write a simple program to calculate the sum of the first 10 natural numbers.
Solution: A code snippet in Scratch or Python that sums numbers from 1 to 10.
Video Resource:
4. Mathematical Modelling
Description: This subsection involves applying the process of mathematical modelling to represent, analyze, make predictions, and provide insight into real-life situations.
Objective: Students will apply concepts and skills learned in other strands to create and analyze models of real-life situations.
Driving Question: How can we use math to model and solve real-world problems?
Outcome: Students will demonstrate the process of mathematical modelling in various contexts.
Sample Problem:
Model the growth of a plant over time given certain conditions (e.g., amount of water, sunlight).
Solution: Create a table or graph to represent the plant's growth over weeks.
Video Resource:
This overview covers the key components of the Algebra 3 section in the Grade 4 math curriculum, providing both sample problems and video resources to help students grasp the concepts effectively.