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⭐ Connecting Fractions to Essential Key Concepts ⭐️
Exploring Fractions offers authentic opportunities to revisit the Essential Key Concepts of Number Sense & Addition/Subtraction:
B1.1 → Read, represent, compose, and decompose to 1000
Combining (composing) equal parts into 1 whole and partitioning (decomposing) 1 whole into equal parts allows students to revisit and solidify their understanding of composing and decomposing numbers.
B2.7 → Represent and solve problems involving multiplication and division
Representing fair-share fractional problems allows students to revisit solving repeated equal-group problems (e.g., multiplication - a student draws 6 people, each wearing 2 shoes, and then represents the 10 shoes on the door mat) and equal-sharing problems (e.g., division - a student draws 12 apples being shared equally between 4 people, and then represents how each person gets 3 apples).
B2.8 → Represent the connection between the numerator of a fraction and the repeated addition of the unit fraction with the same denominator
Adding unit fractions allows students to revisit and solidify their understanding of the connection between the numerator and denominator.
Expectation Cluster
Expectation Cluster
B1.6 use drawings to represent, solve, and compare the results of fair-share problems that involve sharing up to 20 items among 2, 3, 4, 5, 6, 8, and 10 sharers, including problems that result in whole numbers, mixed numbers, and fractional amounts
B1.7 represent and solve fair-share problems that focus on determining and using equivalent fractions, including problems that involve halves, fourths, and eighths; thirds and sixths; and fifths and tenths
⛭ Related Mathematical Processes
Problem Solving , Reasoning and Proving, Representing, Communicating
Organize your observations of student learning related to the key concepts and skills for this topic:
Explore a menu of possible MathUP lessons, Building Fluency lessons, problems, explorations and games.
During this topic, pay attention to the students' ability to identify and manage emotions.
How do students respond to problems and prompts?
What feelings are demonstrated when math problems are posed to the class?
Do students show understanding of the feelings of others during math talks and collaborative learning tasks?
Models and Tools
Models and Tools
Concrete Learning Resources Tools:
Area Models:
paper folding / paper cutting
pattern blocks
geoboards
Set Models:
snap cubes
two colour counters
colour tiles
Length Models:
string or yarn
ribbons
paper strips
Virtual Learning Resources and Tools:
Area Models:
Google Draw (partitioning simple shapes with the draw tools)
Set Models:
Length Models:
Google Draw (partition a line or long rectangle with the draw tools)
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