Intro to Calculus Word Wall
- Grades
- High School
- Pages
- 40
- File type
- Preparation
- Print ready
- Subject
- Math
- Topic
- Calculus, Limits
- Resource types
- Posters
- Preparation
- Print ready
Product description
From the author
This is an Intro to Calculus Word Wall that includes limits and derivatives. Your pre-calculus/calculus students will find this word wall beneficial as it provides them with many skills that will be covered in your course. As a teacher, you will find it helpful to quickly reference topics on the wall that were covered last week (or last semester).
Each sheet features a title, a subtopic, and a sheet number. This will help you keep cards organized. The box for the sheet number is left blank on each sheet to give you the flexibility to rearrange sheets and number them however you like.
Some sheets will need to be combined because they are too big to fit on one sheet. An “incomplete” border on the sheet indicates topic extends to multiple pages.
For a long lasting resource, after printing, I suggest laminating each one of the pages. If wall space allows, post sheets as you cover them in class and leave them up throughout the year. If space is limited, print sheets half-size or replace sheets after completing a unit of study.
In addition to using them as posters, this resource may be used in math centers, or as guidance for individual work, or for group work.
The topics included are:
1. Limits & Derivatives
– Limit Notation
– One-Sided Limits: Left-Hand & Right-Hand Limits
– Average Rate of Change: Formula & Graph
– Instantaneous Rate of Change: Formula & Graph
– Derivative: Formula & Graph
– Properties of Limits:
• Sum Rule
• Difference Rule
• Product Rule
• Quotient Rule
• Constant Multiple Rule
• Power Rule
• Root Rule
– Finding Limits: Graphs & Tables
– Velocity: Average & Instantaneous
– Limits at Infinity: Graph & Table
– Infinite Limits: Graph & Table
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In the classroom
Teaching tips & learning objectives
Learning objectives
Read limit notation aloud correctly and state what it asserts about f(x) as x approaches c
Distinguish left-hand from right-hand limits and explain why a two-sided limit fails when they disagree
Tell average rate of change from instantaneous rate of change by their formulas and by the secant and tangent lines that represent them
Teaching tips
The sheet-number box is left blank on purpose, so number the sheets after you have decided your own display order rather than following the file's page order
The set covers limits and derivatives only, following its own contents page, which makes it a natural first wall for the opening unit rather than a whole-year display
The guide page suggests directing students to numbered sheets during independent practice - "reference Word Wall sheets 76-80 before seeking my help" - which works once you have numbered your own set
Skills covered
Notation reading - the limit notation sheet gives the symbol, the sentence that reads it aloud, and the meaning, so students can decode the notation from the wall during practice.
Distinguishing secant from tangent - paired sheets put the average rate of change beside its secant line and the instantaneous rate beside its tangent line, making the difference visual rather than verbal.
Limit law recall - the sum, difference, product, quotient, constant multiple, power and root rules sit together across three sheets as a permanent reference.
Good to know
Questions teachers ask about this resource
How do you know which sheets belong together?
By the border. An incomplete border around the edge of a sheet indicates it is meant to be combined with others, and the file interleaves pages reading "Piece sheets together as shown" before each multi-sheet topic. Limit notation, one-sided limits, the rate-of-change pairs and the limit properties all span more than one sheet.
Why is the sheet-number box empty?
It is left blank deliberately so you can rearrange the sheets and number them to suit your own wall. The guide page explains the intent: once numbered, you can send students to a specific sheet during independent practice - its example is "reference Word Wall sheets 76-80 before seeking my help".
Which calculus topics does the set cover?
The limits-and-derivatives opening of a calculus course, as its contents page states: limit notation, one-sided limits, average and instantaneous rate of change, the derivative, the seven properties of limits, finding limits from graphs and tables, average and instantaneous velocity, limits at infinity and infinite limits.
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Resource details
Concepts & topics
Core concepts
Core concepts
Limits
Derivatives
Rate of change
Limit laws
Calculus notation
Topics
Topics
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