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Unit Design, Liberty Middle, Daily Sign In

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Unit Design, Liberty Middle, Daily Sign In

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Unit Design, Liberty Middle, Daily Sign In

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Unit Design, Liberty Middle, Daily Sign In

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Mathematics - Southern Regional Education Board

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PMP Rubric - for Self-evaluation and Coaching Purposes ONLY - not evaluations!

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PMP Rubric - for Self-evaluation and Coaching Purposes ONLY - not evaluations!

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Begin with the end in mind.

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from Open Up Resources

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8.F Heart Rate Monitoring ‹ OpenCurriculum

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Serena is starting a new workout routine and wants to keep track of her heart rate to make sure that she is exercising at the optimum level. First she did a warm-up, then she did her training exercises, then she did a cool-down.

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Which of the following could be modeled by \(y=2x+5\)? Answer YES or NO for each one.

1. There are initially 5 rabbits on the farm. Each month thereafter the number of rabbits is 2 times the number in the month before. How many rabbits are there after \(x\) months?
YES NO

2. Joaquin earns $2.00 for each magazine sale. Each time he sells a magazine he also gets a five-dollar tip. How much money will he earn after selling \(x\) magazines?

YES NO

3. Sandy charges $2.00 an hour for babysitting. Parents are charged $5.00 if they arrive home later than scheduled. Assuming the parents arrived late, how much money does she earn for \(x\) hours?

YES NO

4. I have a sequence of integers. The first term of the sequence is 7 and the difference between any consecutive terms is always equal to 2.

YES NO

5. Sneak Preview is a members-only video rental store. There is a $2.00 initiation fee and a $5.00 per video rental fee. How much would John owe on his first visit if he becomes a member and rents \(x\) videos?

YES NO

6. Andy is saving money for a new CD player. He began saving with a $5.00 gift and will continue to save $2.00 each week. How much money will he have saved at the end of \(x\) weeks?

YES NO

Solutions

Solution: Solution

1. NO: If \(y\) is the number of rabbits at time \(x\) months, then in this scenario the number of rabbits starts with 5 and doubles every months. This situation is modeled by the function \(y = 5 \cdot 2^x.\)

2. NO: If \(y\) is the amount of money in dollars Joaquin earns for selling \(x\) magazines, then for each magazine sold, Joaquin actually gets \(2+5=7\) dollars. So this situation is modeled by the function \(y=2x + 5x = 7x.\)

3. YES: If \(y\) is the amount of money Sandy earns for \(x\) hours of baby sitting then \(y=2x+5\) models this situation. She earns 2 dollars per hour and the extra term of 5 represents the 5 dollar penalty Sandy charges parents for coming home late.

4. YES: In this case we can think of \(y\) as the \(x\)th term of the sequence. So \(7=2(1)+5,\ 9=2(2)+5,\ 11=2(3) +5,\dots\). In general we have: \(y = 2x+5\)

5. NO: If \(y\) is the amount of money in dollars John owes for renting \(x\) videos, then this situation is modeled by the function \(y=5x+2\). John pays 5 dollars per video and a one time initiation fee of 2 dollars.

6. Yes: If \(y\) is the amount of money (in dollars) Andy has saved after \(x\) weeks then this situation is modeled by the function \(y=5+2x.\) Andy already has 5 dollars to begin with and he saves an additional 2 dollars per week.

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8-F Modeling with a Linear Function ‹ OpenCurriculum

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Which of the following could be modeled by y=2x+5? Answer YES or NO for each one.

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Unit Design Framework Implementation Guide

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Unit Design Framework Implementation Guide

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30070 Unit Design Framework Implementation Guide-v3

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Mathematics has been a constant in helping to define the natural world and arrive at truths by careful reasoning. In the last century, mathematics has been applied to many other purposes that bring meaning to life, such as, analyzing voting trends or long-term strategies for dealing with the opioid crisis, and evaluating the evidence in a debate on government spending or renewable and non-renewable resources. Today, mathematical thinking is more important than ever before. Learning to think in mathematical terms is essential for a student to become a productive citizen.

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Read aloud

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If You Hopped Like a Frog, by David M. Schwartz

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If You Hopped Like a Frog Lesson Plan.pdf

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If You Hopped Like a Frog              Fact Sheet

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If You Hopped Like a Frog              Fact Sheet

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Demonstrate key math concepts in your classroom using our new virtual manipulatives!

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Online manipulatives bring all of the learning and fun without the mess. Our math virtual manipulatives help students grasp abstract concepts through modeling. Literacy virtual manipulatives create a fun space for practicing spelling, rhyming, and more!

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Virtual Manipulatives | Mathematical Modelling | Toy Theater

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Original teaching tools aimed at supporting teachers in the elementary school classroom. Two color counters, 3D dice, probability spinners, graph builders, fraction bars, base ten blocks, and more!

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Sharing in an app allows educators to pose problems and investigations for students by using an 8-character code or link. Students can share their thinking with their teachers and classmates. Share codes remain available for continued use for 18 months from the date they are last accessed.
Watch the video to learn how sharing works.

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Sharing in an app allows educators to pose problems and investigations for students by using an 8-character code or link. Students can share their thinking with their teachers and classmates. Share codes remain available for continued use for 18 months from the date they are last accessed.