1. Resources Home
  2. Whole School
  3. Mathematics
  4. Algebra
  5. Quadratics graphs
Algebra bundle

Algebra bundle

Algebra bundle of lessons with fully detailed creative lesson plans on factorising expressions, linear expression, quadratic expansion, finding formulae and solving equations
Edustem1
Solve Quadratic Equations Sum It Up Activity

Solve Quadratic Equations Sum It Up Activity

Seven stations include practice or review solving quadratic equations by inverse operations, factoring and the quadratic formula. Includes proportions, area of rectangles and word problems using a vertical motion model. Students work in groups of three, labeling themselves Student A, Student B and Student C. Each student works their own problem at a station in their own notebook. Students then add their three answers together for the “Sum”. They check the back of the station/page to see if the “Sum” of their answers is correct before moving to the next station. Students may rotate through the stations in any order. CCSS: Write expressions in equivalent forms to solve problems. HSA.SSE.B.3a Factor a quadratic expression to reveal the zeros of the function it defines. CCSS: Solve equations and inequalities in one variable. HSA.REI.B.4 Solve quadratic equations in one variable. HSA.REI.B.4a Use the method of completing the square to transform any quadratic equation in x into an equation of the form (x - p)2 = q that has the same solutions. Derive the quadratic formula from this form. CCSS: Analyze functions using different representations. HSF.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. Teacher Setup: Print each page on cardstock or paper. Write only the numerical “Sum” of the three answers on the back of the corresponding page for students to check. Attach the pages to the walls around the room as stations for the students to visit. Included in the package: • Seven “Sum It Up” pages/stations, each with three problems, to put on walls around the classroom • “Sum” answers to write on the back of each page/station for students to use • Detailed answer key for the teacher This activity works well in the middle of a lesson when students are actively learning a new skill and can also be used as a review. The instructions are clearly marked on the students’ page and the answer key is included. This purchase is for one teacher only: This resource is not 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 a site license, please contact me for a quote at debbiesalgebraactivities@gmail.com. This resource may not be uploaded to the internet in any form, including classroom/personal websites or network drives.
DebbiesAlgebraActivities
Quadratic Functions Sum It Up Activity

Quadratic Functions Sum It Up Activity

Six stations include practice or review identifying key features of quadratic functions. Includes determining the y-intercept and x-intercepts from graphs, the vertex from equations in vertex form and transformations such as reflection, vertical shifts and horizontal shifts from equations in vertex form. Students work in groups of three, labeling themselves Student A, Student B and Student C. Each student works their own problem at a station in their own notebook. Students then add their three answers together for the “Sum”. They check the back of the station/page to see if the “Sum” of their answers is correct before moving to the next station. Students may rotate through the stations in any order. CCSS: Interpret functions that arise in applications in terms of the context. HSF.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. CCSS: Analyze functions using different representations. HSF.IF.C.7a Graph linear and quadratic functions and show intercepts, maxima, and minima. CCSS: Build new functions from existing functions. HSF.BF.B.3 Identify the effect on the graph of replacing f(x) by f(x) + k, k f(x), f(kx), and f(x + k) for specific values of k (both positive and negative); find the value of k given the graphs. Experiment with cases and illustrate an explanation of the effects on the graph using technology. Include recognizing even and odd functions from their graphs and algebraic expressions for them. CCSS: Write expressions in equivalent forms to solve problems. HSA.SSE.B.3b Complete the square in a quadratic expression to reveal the maximum or minimum value of the function it defines. Teacher Setup: Print each page on cardstock or paper. Write only the numerical “Sum” of the three answers on the back of the corresponding page for students to check. Attach the pages to the walls around the room as stations for the students to visit. Included in the package: • Six “Sum It Up” pages/stations, each with three problems, to put on walls around the classroom • “Sum” answers to write on the back of each page/station for students to use • Detailed answer key for the teacher This activity works well in the middle of a lesson or as a review. The instructions are clearly marked on the students’ page and the answer key is included. This purchase is for one teacher only: This resource is not to be shared with colleagues or used by an entire grade level, school, or district without purchasing the proper number of licenses. This resource may not be uploaded to the internet in any form, including classroom/personal websites or network drives.
DebbiesAlgebraActivities
New 9-1 Maths GCSE Problem Solving 4 - Geometry Questions - Grades 5-9

New 9-1 Maths GCSE Problem Solving 4 - Geometry Questions - Grades 5-9

Students should learn/discover 1 .Find Gradient of a line from a diagram or by using a formula for m 2. Find the Equation of a line : Y= mx + c 3. Find the Equation of a PARALLEL Line 4. Find the Equation of a PERPENDICULAR line 5. Divide a line segment into a given ratio and calculate coordinates Then use these skills A-G to do the PROBLEM SOLVING Questions Calculate the Equation of the Tangent of a circle, many applicational /contextual problems involving gradients and equation of a line for the new syllabus A. a student sheet has no formulae/knowledge as they have to discover these themselves....(starting from a blank canvass- or prior knowledge) They may use textbooks, on-line resources , their exercise books etc... B. A COMBINED sheet which acts as a teacher Guidance/Answer sheets includes Formulae The teacher's role is of a prompter- the student does all the work....It can be a one-one or paired or group work and can be adapted to do other things...
Kazmo1429
New 9-1 Maths GCSE Problem Solving 4 - Geometry Questions - Grades 5-9

New 9-1 Maths GCSE Problem Solving 4 - Geometry Questions - Grades 5-9

Students should learn/discover 1 .Find Gradient of a line from a diagram or by using a formula for m 2. Find the Equation of a line : Y= mx + c 3. Find the Equation of a PARALLEL Line 4. Find the Equation of a PERPENDICULAR line 5. Divide a line segment into a given ratio and calculate coordinates Then use these skills A-G to do the PROBLEM SOLVING Questions Calculate the Equation of the Tangent of a circle, many applicational /contextual problems involving gradients and equation of a line for the new syllabus A. a student sheet has no formulae/knowledge as they have to discover these themselves....(starting from a blank canvass- or prior knowledge) They may use textbooks, on-line resources , their exercise books etc... B. A COMBINED sheet which acts as a teacher Guidance/Answer sheets includes Formulae The teacher's role is of a prompter- the student does all the work....It can be a one-one or paired or group work and can be adapted to do other things...
Kazmo1429
New 9-1 Maths GCSE Problem Solving 4 - Geometry Questions - Grades 5-9

New 9-1 Maths GCSE Problem Solving 4 - Geometry Questions - Grades 5-9

Students should learn/discover 1 .Find Gradient of a line from a diagram or by using a formula for m 2. Find the Equation of a line : Y= mx + c 3. Find the Equation of a PARALLEL Line 4. Find the Equation of a PERPENDICULAR line 5. Divide a line segment into a given ratio and calculate coordinates Then use these skills A-G to do the PROBLEM SOLVING Questions Calculate the Equation of the Tangent of a circle, many applicational /contextual problems involving gradients and equation of a line for the new syllabus A. a student sheet has no formulae/knowledge as they have to discover these themselves....(starting from a blank canvass- or prior knowledge) They may use textbooks, on-line resources , their exercise books etc... B. A COMBINED sheet which acts as a teacher Guidance/Answer sheets includes Formulae The teacher's role is of a prompter- the student does all the work....It can be a one-one or paired or group work and can be adapted to do other things...
Kazmo1429
Inequalities Equations and graphs with answers

Inequalities Equations and graphs with answers

This is a resource with answers which enables pupils to consolidate their understanding of: how to find the equation of a quadratic from a curve; how to read the solution of a quadratic from a graph; how to write the solution of an inequality of a quadratic. This is useful fro GCSE Higher pupils and AS Level pupils.
judsonb
Defining Sequences as Functions - Playlist and Teaching Notes

Defining Sequences as Functions - Playlist and Teaching Notes

Our playlists are “no prep” Common Core aligned lessons designed for small group work, homework, remediation, or extension around a single standard. This content-rich multimedia lesson integrates original instruction with web-based resources to guide students through the rigors of the aligned standard. This product includes: • 5 links to instructional videos or texts • 1 link to practice quizzes or activities • Definitions of key terms, such as geometric sequence and function notation • Examples of how to apply function notation to explain how to obtain the terms in an arithmetic or geometric sequence • Exercises that allow students to practice applying recursive function definition to find terms in a sequence • An accompanying Teaching Notes file The Teaching Notes file includes: • A review of key terminology • Links to video tutorials for students struggling with certain parts of the standard, such as mishandling the first term
Wisewire
Squares to Stairs

Squares to Stairs

Number of diagonals in a polygon, number of squares in special figures, triangular numbers are just some of the examples how we can model with quadratic functions. Using difference tables to establish the pattern and confirm the relationship in Geogebra. Enter the numbers in a spreadsheet, draw a graph, fit a polynomial regression model, use the model for predictions. An assessment task on direct and inverse variation to follow the lesson. The zipped folder includes Geogebra files. Teacher handout has full instructions how to use Geogebra. A lesson can be differentiated: stronger students attempting difference tables and taking an algebraic approach; weaker students using technology to arrive at the same answer.
bgm2016
HSF.IF.A.3 - Quiz and Answer Guide

HSF.IF.A.3 - Quiz and Answer Guide

Our quizzes are brief, formative diagnostic tools designed to test mastery and identify misconceptions a student has around a single Common Core standard. Assess your students' ability to recognize that sequences are functions, sometimes defined recursively, whose domain is a subset of the integers with this quiz. This product includes: • 2 fill-in-the-blank questions • 1 multiple choice question • An accompanying answer guide with correct answers, answer choice rationales, and DOK (Depth of Knowledge) levels
Wisewire