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BC Math 10 Roots, Powers & Exponent Laws Unit | No Prep! Differentiated!

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Maths360
332 Followers
Grade Levels
6th - 11th, Homeschool
Subjects
Standards
Formats Included
  • Zip
Pages
125 pages
$24.95
$24.95
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Maths360
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  1. This resource has recently been updated!Are you looking for an entire course plan for BC Foundations of Mathematics and Pre-Calculus 10 curriculum (British Columbia Canada)? This package is for you! The resources were created to help students develop their mathematical curricular competencies and ma
    Price $149.00Original Price $184.60Save $35.60

Description

This resource was recently updated.

If you are looking for a differentiated, engaging, and hands-on unit on roots, powers, and exponent laws, then this package is for you! No prep necessary!

Everything is fully editable and comes with step-by-step answer keys and links to YouTube lesson videos that match up with the lesson notes.

WHAT SETS THIS RESOURCE APART:

  1. Formative Assessment Opportunities for Personalized Growth
    This unit has multiple formative assessment strategies where students can get specific feedback on their progress. There are also opportunities for students to self-assess and reflect, empowering students to become active in their learning. All questions are marked with icons indicating to students which mathematical competency they are pursuing, aiding their self-directed learning process.
  2. Interactivity and Collaboration
    Each unit comes with engaging warm-up ideas and interactive whiteboard activities, which help foster a supportive learning environment. Students will be actively involved and thinking in your classroom.
  3. Differentiation
    Cater to diverse learning needs with differentiated daily practice assignments, tiered by difficulty level, allowing every student to challenge themselves and find success. An extension assignment is provided for early finishers as well.
  4. Real-World Connections and Project-Based Learning
    The unit includes a variety of authentic real-world applications in the warm-ups, lesson notes, activities, assignments, etc. The rich tasks (mini projects), where students apply their understanding, foster creativity and critical thinking.
  5. Lesson Videos
    Links to YouTube lesson videos are included to go with the scaffolded lesson notes. They are a great tool for students who have been absent or who need to review a concept a second time.

WHAT IS INCLUDED:

Every resource is editable and comes with a detailed answer key

· A preview document explaining the purpose and intended use of each resource

· A get ready assignment with examples and practice questions to review prior knowledge

· Detailed Lesson plans, full solution keys, rubrics and exemplars

· 6 Scaffolded Lesson Notes with links to YouTube Lesson Videos

· 5 Sets of Group Practice Task Cards - Whiteboard Questions

· 6 Differentiated Practice Assignments (questions are tiered by difficulty level)

· 5 Checkpoints with self-assessment (to review key questions from each lesson)

· 2 Rich Problem-Solving Task

· Review and Study Guide

· 2 Quizzes with rubrics and keys

· Final unit test with 2 versions + rubrics and keys

MAIN CONCEPTS:

· Perfect squares/cubes and their roots

· Converting between entire and mixed radicals

· Evaluating Powers with rational and negative exponents

· Applying the exponent laws (with and without variables)

This resource was developed for use in British Columbia Canada for the redesigned Foundations of Mathematics and Pre-Calculus 10 curriculum and new reporting order (2023). However, it is also relevant for use in the US and other curriculums. These resources would work well for distance learning or home school.

For more details on what is included, exemplars, and a topic descriptions, please see the preview document.

This product is also part of my BC math 10 curriculum bundle

Check out my other B.C. Math 10 resources:

Entire Course Bundle for FPC 10 (includes all 8 units below)

Unit 1 - Trigonometry

Unit 2 - Polynomials

Unit 3 - Roots and Powers

Unit 4 - Relations and Functions

Unit 5 - Linear Relations

Unit 6 - Linear Systems of Equations

Unit 7 - Arithmetic Sequences

Unit 8 - Financial Literacy (Earning an Income)

Spiral Review for BC Math 10

Checkpoints and Task Cards for the Entire Math 10 Course in BC


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Did you know that you can earn 5% back for future purchases by leaving feedback? I would love to hear from you! Please note that this resource is for use by one teacher only. Colleagues must purchase additional licenses. You may not upload this resource to the internet in any form unless it is password protected for your individual class.

LICENSING TERMS: This purchase includes a license for one teacher only for personal use in their classroom. Licenses are non-transferable, meaning they can not be passed from one teacher to another. No part of this resource is to be shared with colleagues or used by an entire grade level, school, or district without purchasing the proper number of licenses. If you are a coach, principal, or district interested in transferable licenses to accommodate yearly staff changes, please contact me for a quote at 360.maths.360@gmail.com.

COPYRIGHT TERMS: This resource may not be uploaded to the internet in any form, including classroom/personal websites or network drives, unless the site is password protected and can only be accessed by students.


Total Pages
125 pages
Answer Key
Included with rubric
Teaching Duration
1 month
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Standards

to see state-specific standards (only available in the US).
Know that numbers that are not rational are called irrational. Understand informally that every number has a decimal expansion; for rational numbers show that the decimal expansion repeats eventually, and convert a decimal expansion which repeats eventually into a rational number.
Use rational approximations of irrational numbers to compare the size of irrational numbers, locate them approximately on a number line diagram, and estimate the value of expressions (e.g., π²). For example, by truncating the decimal expansion of √2, show that √2 is between 1 and 2, then between 1.4 and 1.5, and explain how to continue on to get better approximations.
Know and apply the properties of integer exponents to generate equivalent numerical expressions. For example, 3² × (3⁻⁵) = (3⁻³) = 1/3³ = 1/27.
Use square root and cube root symbols to represent solutions to equations of the form 𝘹² = 𝘱 and 𝘹³ = 𝘱, where 𝘱 is a positive rational number. Evaluate square roots of small perfect squares and cube roots of small perfect cubes. Know that √2 is irrational.
Explain how the definition of the meaning of rational exponents follows from extending the properties of integer exponents to those values, allowing for a notation for radicals in terms of rational exponents. For example, we define 5 to the 1/3 power to be the cube root of 5 because we want (5 to the 1/3 power)³ = 5 to the (1/3)(3) power to hold, so (5 to the 1/3 power)³ must equal 5.

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332 Followers