Exploring Algebraic and Geometric Relationships Section 1.2 Students will be able to apply the investigation process to solve problems. Students will be able to represent patterns and identify important features of graphs.

1.2.1 Can you predict results Investigation Process – way to study and learn new mathematical ideas Question – helps to frame what you want to investigate Prediction or Conjecture – educated guess on what you think will happen without all the information Exploration – gathering information, doing an experiment or idea Prove – was you conjecture correct or now

Investigation 1-21 Pg 36 Rings and Mobius Strips

Homework 1.2.1 Pg 39 1-25 through 1-29

1.2.2 How can I predict the Area Patterns Look for something that continues to happen Equations from Tables Linear Quadratic Exponential Area Perimeter

Linear Models Linear function What do the variables mean How do you calculate m and b depending on what is given

Exponential Models Exponential function a is the y intercepts b is the multiplier or pattern Look from table or graph

Homework 1.2.2 Pg 50 1-36 through 1-41

1.2.3 How can I express Area Use of Algebra Tiles What are the dimensions? What does each tile represent? How do you use them to find area? What is Area? How do you use them to find perimeter? What is permineter? Writing Expressions

Investigation 1-42 What are the dimensions? Can you make a rectangle from the shapes? What do you notice about the dimensions and the area? Area model puzzles?

Homework 1.2.3 Pg 62 1-50 through 1-55

1.2.4 How can I describe a graph Investigations starting at 1-56 To fully describe a graph you should include Shape – linear, quadratic Line of symmetry of there is one Increasing of decreasing Asymptotes Intercepts Domain and Range Continuous or discrete Function or not

Describing a Graph 1-56 What are some questions you could ask about the graph 1-59 1-60

Rigid Transformations Motion around a coordinate plane Reflection over a line Rotation around a fixed point Translation or sliding across the plane

Homework Pg 72 1-62 through 1-67