Capturing Quantities WHAT Look for and represent quantities

Capturing Quantities WHAT: Look for and represent quantities and relationships WHY: To “think like mathematicians”, find quantities and relationships in word problems and diagrams.

Capturing Quantities Identify Quantities & Relationships Create Diagrams Discuss Diagrams Reflect on learning

Identify Quantities & Relationships Ask yourself… § What can I count or measure in this situation? Two groups of friends are sharing chocolate bars. Each group wants to share the chocolate bars fairly so that every person gets the same amount and no chocolate remains. In the first group of friends, four students receive three chocolate bars.

Identify Quantities & Relationships I can count the number of… I can measure the amount of… Two groups of friends are sharing chocolate bars. Each group wants to share the chocolate bars fairly so that every person gets the same amount and no chocolate remains. In the first group of friends, four students receive three chocolate bars.

Identify Quantities & Relationships An important quantity is… A relationship we know is… Two groups of friends are sharing chocolate bars. Each group wants to share the chocolate bars fairly so that every person gets the same amount and no chocolate remains. In the first group of friends, four students receive three chocolate bars.

Create a Diagram Ask yourself… § How can I represent the important quantities and relationships? Two groups of friends are sharing chocolate bars. Each group wants to share the chocolate bars fairly so that every person gets the same amount and no chocolate remains. In the first group of friends, four students receive three chocolate bars.

Create a Diagram Share your diagram. Together, create a diagram that you think best represents the important problem information How did you represent…? I showed… by … Two groups of friends are sharing chocolate bars. Each group wants to share the chocolate bars fairly so that every person gets the same amount and no chocolate remains. In the first group of friends, four students receive three chocolate bars.

Discuss Diagrams Ask yourself… What quantities or relationships do you see in this diagram? Where do you see a quantity or relationship in this diagram? They represented … by…

Meta-Reflection A. When looking for quantities in a word problem, I learned to… B. When analyzing a diagram, I learned to pay attention to… because… A. When identifying relationships, I learned to ask myself…