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7 th grade math Unit 3: Ratios and Proportional Reasoning

This lesson plan focuses on applying properties of positive and negative rational numbers to solve problems, developing algorithms for operations with rational numbers, and using number lines to represent addition and subtraction. It includes various activities and resources for students to practice and reinforce their understanding.

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7 th grade math Unit 3: Ratios and Proportional Reasoning

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  1. 7th grade mathUnit 3: Ratios and Proportional Reasoning Lesson Plan01/22/19

  2. Standard: Unit Essential Questions • How do I apply properties of positive and negative rational numbers to solve problems?

  3. Standard: Unit Essential Questions • What strategies are most useful in helping develop algorithms for adding, subtracting, multiplying, and dividing positive and negative rational numbers to solve real-world problems?

  4. I can statement • I can add and subtract rational numbers. • I can represent addition and subtraction on horizontal and vertical number lines. • I can subtract a rational number by adding its opposite (additive inverse). • I can use the absolute values of numbers on a number line to illustrate both addition and subtraction. • I can apply properties of operations (commutative, associative, and distributive) to add and subtract rational numbers.

  5. Key Vocabulary • additive inverse • multiplicative inverse • absolute value • integers • long division • natural numbers • negative numbers • opposite numbers • positive numbers • rational numbers • repeating decimal • terminating decimal • zero pair PPT]Rational and Irrational Numbers

  6. Rational numbers? Instructional Period Rational Numbers https://www.youtube.com/watch?v=9yvtLN_24G0 Math Shorts Episode 1 - Additive Inverse https://www.youtube.com/watch?v=p8OsA062OPY Multiplicative Inverse https://www.youtube.com/watch?v=HAav7wU82g0 5 5/1 1.75 7/4 .001 1/1000 −0.1 −1/10

  7. Activity: • Monday: PEER HELPER – Student will solve two problems and give it to a peer to correct, Peers will give feed back and walk through the steps to solve the. • Tuesday: Class Battle – class is broke up into two groups and the groups gain points by solving the problems on the board. • Wednesday: Independent work session – students may use notes to solve problems on worksheet. • Thursday: Study Guide Review – test problem are reviewed and worked out on the board and class discussion continues. • Friday: Quiz

  8. HomeworkAssignments Class Work • Warm Up – Multiplication Drill/Division Drill Monday: https://www.mathplayground.com/ASB_OrbitIntegers.html Works Sheet -Integers Tuesday: Show Your Work Wednesday: Peer Helper(Group Work) Thursday: One on One (Review)/Study Guide Friday: Quiz • Feedback on test • Iready • Redelivery Homework: All assignments due Friday Monday: Work sheet – Rational and Irrational numbers Absolute Value Tuesday: Work sheet – Adding and Subtracting Rational Numbers Worksheets Wednesday: Work sheet –Adding and Subtracting Rational Numbers Worksheets Thursday: Work sheet – Multiplying and Dividing  Rational Numbers Worksheets Friday: Work sheet – Quiz Late Assignment will have 5 points deducted every day that it is late

  9. Remediation • Small Group • One on one • Peer Helper

  10. Resources • Iready • 1. Learn Zillion:This video-based website teaches math concepts in short, student-centered lessons. You can search a concept and watch different videos that will teach you and your child how to understand math ideas and strategies. The videos are very child friendly! Recommended for 2nd grade and up. • 2. K-5 Math Teaching Resources:I love this website! It's full of games and activities for each math standard that allow you and your child to better understand different topics being taught in the classroom. There are different categories to choose from: number sense, geometry, and measurement and data. Click on the activity or game that will help practice different mathematical concepts. Recommended for Kindergarten through 5th grade. • 3. Khan Academy:Khan Academy focuses on interactive videos and practice exercises that support your child’s learning at her own pace. The activities are simple enough for your child to do on her own but also challenging enough to push her to learn more. Recommended for Kindergarten and up. • 4. NCTM Illuminations: This site is an incredible resource for teachers, parents, and students. There are lessons, interactive games, and brainteasers that are all helpful with homework and extra practice at home. Recommended for PreK and up. • 5. K 5 Learning: K 5 Learning is a wonderful parent-support for math help at home. It offers online support and numerous printable worksheets to support you and your child’s learning at home. There are even parent progress reports if you chose to assess your child’s progress. Recommended for Kindergarten through 8th grade. • Keep these resources on hand when math homework starts to get tricky. They can be a great support to both you and your child!

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