Parabolas & Circles-Functions & Graphs Review- Math Test Prep
CAS Take on Maths
248 Followers
Grade Levels
10th - 12th, Homeschool
Subjects
Resource Type
Standards
CCSS8.F.A.1
CCSSHSF-IF.A.1
CCSSHSF-IF.B.4
CCSSHSF-IF.C.8a
CCSSHSF-IF.C.9
Formats Included
- Zip
Pages
44 pages (Worksheets + Step by Step Solutions + Teacher Notes)
CAS Take on Maths
248 Followers
Description
PARABOLA & CIRCLE PROBLEMS - FUNCTIONS & GRAPHS REVIEW for Math Test Preparation.
Working mathematically & critical thinking to solve problems involving function and relation graphs.
The resource contents: Worksheets + Step by step solutions + Teacher notes.
Problem 1 in 2 skills:
- Easy: Steps to solve the problem are given.
- Hard: Steps to solve the problem are not given.
Problem 2: Steps to solve the problem are not given.
Grades: 10th & 12th
Learning Outcomes:
- Recognise features of the graphs of x^2 + y^2 = r^2 and (x − h)^2 + (y − k)^2 = r^2, including their circular shapes, their centres and their radii.
- Recognise features of the graph of y = x^2 including its parabolic shape and its axis of symmetry.
- Find the intersection points of a parabola and a circle.
Also comply with Australian Curriculum:
- Understand the concept of the graph of a function (ACMMM024)
- Recognise features of the graphs of x^2 + y^2 = r^2 and (x − h)^2 + (y − k)^2 = r^2, including their circular shapes, their centres and their radii. (ACMMM020)
- Recognise features of the graph of y = x^2 including its parabolic shape and its axis of symmetry. (ACMMM021)
- MA-F1: Working with functions.
Other products about functions:
- Mapping Diagrams and Functions Workbook
- Classifying and Mapping Relations Workbook
- Asymptotes of Rational Functions Video lesson
- Asymptotes of Rational Functions Worksheets
My other resources:
Total Pages
44 pages (Worksheets + Step by Step Solutions + Teacher Notes)
Answer Key
Included
Teaching Duration
N/A
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Standards
to see state-specific standards (only available in the US).
CCSS8.F.A.1
Understand that a function is a rule that assigns to each input exactly one output. The graph of a function is the set of ordered pairs consisting of an input and the corresponding output.
CCSSHSF-IF.A.1
Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. If 𝘧 is a function and 𝘹 is an element of its domain, then 𝘧(𝘹) denotes the output of 𝘧 corresponding to the input 𝘹. The graph of 𝘧 is the graph of the equation 𝘺 = 𝘧(𝘹).
CCSSHSF-IF.B.4
For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship.
CCSSHSF-IF.C.8a
Use the process of factoring and completing the square in a quadratic function to show zeros, extreme values, and symmetry of the graph, and interpret these in terms of a context.
CCSSHSF-IF.C.9
Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions). For example, given a graph of one quadratic function and an algebraic expression for another, say which has the larger maximum.
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