intro to alg. lt: i can create graphs from real world situations set up your journal. set up your...

INTRO TO ALG

LT: I CAN CREATE GRAPHS FROM REAL WORLD SITUATIONS

• Set up your journal.

• Homework: Create your own real world situation and create a graph to match it. Explain why your graph matches the situation.

DO NOW:

1. Describe what may have happened. Include details like how fast he was walking.

2. Are all sections of the graph realistic? Explain your thinking.

A-B PARTNER SHARE

• A’s begin to explain their thinking for one minute. B’s DO NOT TALK. (wait for Ms. Huggins signal)

• B’s say “so what I heard you say was…”

• Swap

QUICK SHARE

•What do we think?

EVERYONE NEEDS ONE OF THESE:

GRAPHING STORIES

• www.graphingstories.com/4my

• www.graphingstories.com/IcU

• www.graphingstories.com/pUA

• www.graphingstories.com/HMy

HOMEWORK

• Write your own real world situation and create a graph to match

GROUP CHALLENGE

1. Set up this graph in your explore section.

2. As a team, assign your names to each dot. Example:

3. Your challenge:1. Label the axis with

something that makes sense in relationship to who you are. PHYSICAL ATTRIBUTES ARE NOT ALLOWED.

Ms. Huggins

Mr. Froman

Minutes spent playing 2048

Hig

h S

core

LT: I CAN MAKE GENERALIZATIONS ABOUT MULTIPLYING AND DIVIDING EXPONENTS.

• Set up your journal

• Habit: Listening to Understand

• Homework:

DO NOW:

Write using exponents:

A) B)

C) D)

GROUP SHARE

• Team captain: Starts sharing thinking and go around in your group.

• Recorder: Be ready to share a question your group has if as a team you can’t decide to write using exponents.

• Facilitator: Make sure no one in your group says “IDK”

• Resource Monitor: Keep everyone accountable to the conversation.

EXPLORE: POWERS OF TWO

29Base

Exponent

Power 52

QUICK MODEL

• equations using only powers of two:

64

22 ∙ 24=26

(2 ∙2)(2∙2 ∙2∙2)=26

POWERS OF 2

P-15

B: 16 ÷ 8 = 2

A: 8 × 4 = 32

D: 8 ÷ 8 = 1

C: 8 ÷ 16 = ½

Task: Write each of the calculations in your EXPLORE using only the powers of 2. (Not just the answer, but the whole calculation)

EXPLORE: FIRST TRY ON OWN

• Try this:

EXPLORE:

• Try this:

EXPLORE:

• Try this:

• 5

WHAT IS HAPPENING EACH TIME?

• Take a minute to look over your work so far. In words explain a pattern you notice that is happening to the exponents when you multiply.

• Every time you multiply exponents with the same base…

A-B PARTNER WORK

• Partner A starts sharing. Explain your work with your partner.

• Partner B listens. Ms. Huggins will give you a signal then “ what I understand about your work is…”

• Swap

• As a partner team, work together to solve as many as you can!

EXPLORE: FIRST TRY ON OWN

• Try this:

EXPLORE:

• Try this:

EXPLORE:

• Try this:

• 5

WHAT IS HAPPENING EACH TIME?

• Take a minute to look over your work so far. In words explain a pattern you notice that is happening to the exponents when you multiply.

• Every time you divide exponents with the same base…