Do Now Can you Reason abstractly? Your task: Draw a picture that describes the question Decide how you would solve the question using you knowledge of number and operations. Show the work of how you arrived to your answer

Operations and Algebraic Thinking Learning how to  observe, describe, and record changes in predictable patterns?

What you will need to know and be able to do after this unit Solve linear equations in one variable. Solve linear equations with rational number coefficients, including equations whose solutions require expanding expressions using the distributive property and collecting like terms. Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units. For example, if a person walks 1/2 mile in each 1/4 hour, compute the unit rate as the complex fraction 1/2/1/4 miles per hour, equivalently 2 miles per hour. Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships. Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare two different proportional relationships represented in different ways. For example, compare a distance-time graph to a distance-time equation to determine which of two moving objects has greater speed.

“Working” Vocabulary Terms constant of proportionality (unit rate, scale factor) constant rate of change direct variation linear equation percent proportion rate ratio unit rate change constant constant change coordinate graph coordinate pair equation expression independent variable relationship rule scale table variable x-axis y-axis x-coordinate y-coordinate BE SURE that you put time into understanding how these terms APPLY to what you are learning…

Essential Questions of the unit What questions will we answer with this unit? How can proportional relationships be represented using tables,  graphs, and algebraic equations? How can proportions be used to find unknown quantities or inaccessible measurements? When quantities have different measurements how can they be compared? How do you determine the percentage change for a given situation? What are some advantages of using ratios for a comparison?

How do you determine the percentage change for a given situation? Step 1: Calculate the change (subtract old value from the new value) Step 2: Divide that change by the old value (you will get a decimal number) Step 3: Convert that to a percentage (by multiplying by 100 and adding a "%" sign) How to Calculate New Value − Old Value Old Value × 100%

Resources for teaching http://www.readtennessee.org/math/teachers/teachers_mathematics_toolkit/mathematical_practices/reason_abstractly_and_quantitatively.aspx http://www.commoncoresolutions.com/math_presentation/k5_math_m2_final/player.html http://www.pbs.org/parents/cyberchase/episodes/season-3/ - cyber squad