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EngageNY
Every Line is a Graph of a Linear Equation
Challenge the class to determine the equation of a line. The 21st part in a 33-part series begins with a proof that every line is a graph of a linear equation. Pupils use that information to find the slope-intercept form of the...
EngageNY
The Graph of a Linear Equation—Horizontal and Vertical Lines
Graph linear equations in standard form with one coefficient equal to zero. The lesson plan reviews graphing lines in standard form and moves to having y-coefficient zero. Pupils determine the orientation of the line and, through a...
EngageNY
Some Facts About Graphs of Linear Equations in Two Variables
Develop another way to find the equation of a line. The instructional activity introduces the procedure to find the equation of a line given two points on the line. Pupils determine the two points from the graph of the line.
EngageNY
The Graph of a Linear Equation in Two Variables Is a Line
Show your class that linear equations produce graphs of lines. The 20th segment in a unit of 33 provides proof that the graph of a two-variable linear equation is a line. Scholars graph linear equations using two points, either from...
EngageNY
Linear Equations in Two Variables
Create tables of solutions of linear equations. A lesson has pupils determine solutions for two-variable equations using tables. The class members graph the points on a coordinate graph.
Mathed Up!
Simultaneous Equations
How do you solve systems of linear equations? Scholars watch a video to learn how to solve systems using elimination-combination. After viewing the video, they solve seven systems of equations.
Curated OER
Do Two Points Always Determine a Linear Function II?
Learners analyze the difference between the slope intercept and standard forms of a line in this task. Given two general points using letters they explore linear functions and linear equations.
Concord Consortium
Intersections II
How many intersections can two absolute value functions have? Young scholars consider the question and then develop a set of rules that describe the number of solutions a given system will have. Using the parent function and the standard...
EngageNY
The Line Joining Two Distinct Points of the Graph y=mx+b Has Slope m
Investigate the relationship between the slope-intercept form and the slope of the graph. The lesson plan leads an investigation of the slope-intercept equation of a line and its slope. Pupils realize the slope is the same as the...
Los Angeles County Office of Education
Assessment For The California Mathematics Standards Grade 4
Have scholars show what they know with a 20-page assessment aligned to the California State Standards. The test covers concepts such as large and whole numbers, all four mathematical operations, fractions, decimals, geometric figures,...
EngageNY
One-Step Problems in the Real World
Mirror, mirror on the wall, which is the fairest resource of them all? Individuals write and solve one-step equations for problems about angle measurement, including those involving mirrors. Both mathematical and real-world problems are...
Los Angeles County Office of Education
California State Standards: Algebra I
Starting a year of Algebra I? This mighty packet practices all of the major topics with different ranges of difficulty. Standards include everything from linear to quadratic to rational expressions. Use it in a...
Illustrative Mathematics
Kiri's Mathematics Match Game
Learning math is so much more fun when it involves playing games. Following the rules of the classic game Memory, young mathematicians flip over two cards at a time as they look for numbers whose sum or difference is equal to the value...
Illustrative Mathematics
DVD Profits, Variation 1
The idea in the resource is to understand the connections between proportional relationships, lines, and linear equations. To stay within the context of the standard, skip the part of the resource that solves with unit rates. Instead,...
Illustrative Mathematics
Identifying Quadratic Functions
Put your high schoolers to the test and see how well they know their quadratic functions. With excellent thought-provoking questions, learners use what they know about creating quadratic equations based off different pieces of...
West Contra Costa Unified School District
Point-Slope Application Problems
Create a linear equation for a problem when the intercept information is not given. The two-day lesson introduces the class to the point-slope form, which can be used for problems when the initial conditions are not provided. Pupils...
Curated OER
Two Squares are Equal
This problem is sure to get your young mathematicians thinking. The idea sounds simple: one equation, solve it as many ways as you can. This is meant to get at a deeper understanding of solving quadratic equations, including some more...
Inside Mathematics
Sorting Functions
Graph A goes with equation C, but table B. The short assessment task requires class members to match graphs with their corresponding tables, equations, and verbalized rules. Pupils then provide explanations on the process they used to...
Curated OER
Profit of a Company
Your business executives choose which of three equivalent forms of a quadratic equation is the most useful for finding various pieces of information in this task centered on a company's profits.
Illustrative Mathematics
Ants Versus Humans
You would think that humans make up more mass than ants do on this planet, but think again, and this time by performing calculations. Middle schoolers use scientific notation to compute and compare the estimated total mass of all humans...
Concord Consortium
Intersections I
One, two, or zero solutions—quadratic systems have a variety of solution possibilities. Using the parent function and the standard form of the function, learners describe the values of a, b, and c that produce each solution type. They...
EngageNY
Mid-Module Assessment Task: Grade 7 Mathematics Module 3
Lesson 16 in the series of 28 is a mid-module assessment. Learners simplify expressions, write and solve equations, and write and solve inequalities. Most questions begin as word problems adding a critical thinking component to the...
Bridges In Mathematics
Kindergarten Assessments and Scoring Checklists, Common Core State Standards
Whether or not your school has adopted Common Core standards, this resource provides great tools for assessing kindergartners' key numeracy and computation skills.
Illustrative Mathematics
Comparing Growth, Variation 1
Young mathematicians compare the growth of two snake lengths in feet over one year in a straightforward word-problem task.