EngageNY
Linear Equations in Two Variables
Create tables of solutions of linear equations. A activity has pupils determine solutions for two-variable equations using tables. The class members graph the points on a coordinate graph.
EngageNY
True and False Number Sentences II
Substitution is still the method of choice to verify number sentences. The detailed lesson has young mathematicians determining conditions for when number sentences are true or false through substitution. They learn to express these...
EngageNY
Writing and Expanding Multiplication Expressions
Find out what's so standard about standard form. Scholars learn to write multiplication expressions with variables in the 10th lesson in a series of 36. They use different symbols for multiplication and translate between standard and...
EngageNY
What Lies Behind “Same Shape”?
Develop a more precise definition of similar. The lesson begins with an informal definition of similar figures and develops the need to be more precise. The class learns about dilations and uses that knowledge to arrive at a mathematical...
EngageNY
Nature of Solutions of a System of Linear Equations
If at first you cannot graph, substitute. The lesson introduces the substitution method as a way to solve linear systems if the point of intersection is hard to determine from a graph. The 28th installment of a 33-part series finishes...
EngageNY
Tangent Lines and the Tangent Function
Construct tangent lines and make the connection to tangent functions. An informative instructional activity reviews the geometry origins of the tangent function. Pupils use that information to determine how to construct a tangent to a...
EngageNY
Two-Step Problems—All Operations
Step 1: Use the resource. Step 2: Watch your class become experts in solving two-step problems. Scholars learn to solve two-step word problems in context. They use tape diagrams and algebraic techniques to break the problem into two,...
EngageNY
Complex Numbers as Vectors
Show your math class how to use vectors in adding complex numbers. Vectors represent complex numbers as opposed to points in the coordinate plane. The class uses the geometric representation to add and subtract complex numbers and...
BW Walch
Solving Systems of Linear Inequalities
One thing that puzzles a lot of young algebrists is the factors in a word problem that are taken as "understood". This presentation on solving systems of linear inequalities does a great job walking the learner through how to tease those...
EngageNY
From Ratio Tables to Equations Using the Value of a Ratio
Use the value of a ratio to set up equations. The teacher leads a discussion on determining equations from ratio tables in the 13th portion of a 29-part series. Pupils determine which of two equations to use to find the solution. They...
EngageNY
From Ratio Tables, Equations and Double Number Line Diagrams to Plots on the Coordinate Plane
Represent ratios using a variety of methods. Classmates combine the representations of ratios previously learned with the coordinate plane. Using ratio tables, equations, double number lines, and ordered pairs to represent...
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...
EngageNY
Summarizing Bivariate Categorical Data with Relative Frequencies
It is hard to determine whether there is a relationship with the categorical data, because the numbers are so different. Working with a familiar two-way table on super powers, the class determines relative frequencies for each cell and...
West Contra Costa Unified School District
Key Features of Graphs
The key is ... After a day of instruction on key features of graphs, groups create a poster and presentation on the key features of their given function graph. The resource provides an extension activity of "telephone" using graphs.
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...
EngageNY
Mixture Problems
What percent of the mixture is juice? Pairs use their knowledge of proportions to determine what percent a mixture is juice given the percent of juice in the components. Pupils use the procedure learned with the juice mixture problem to...
Georgia Department of Education
Analytic Geometry Study Guide
Are you looking for a comprehensive review that addresses the Common Core standards for geometry? This is it! Instruction and practice problems built specifically for standards are included. The material includes geometry topics from...
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 equation...
EngageNY
Percent Increase and Decrease
Increase the percent of pupils that are fluent in solving change problems with an activity that asks class members to look at problems that involve either increases or decreases and to express the change in terms of the percent of the...
EngageNY
The Graph of a Linear Equation in Two Variables
Add more points on the graph ... and it still remains a line! The 13th installment in a series of 33 leads the class to the understanding that the graph of linear equation is a line. Pupils find several solutions to a two-variable linear...
EngageNY
A Critical Look at Proportional Relationships
Use proportions to determine the travel distance in a given amount of time. The 10th installment in a series of 33 uses tables and descriptions to determine a person's constant speed. Using the constant speed, pupils write a linear...
EngageNY
Tax, Commissions, Fees, and Other Real-World Percent Problems
Pupils work several real-world problems that use percents in the 11th portion of a 20-part series. The problems contain percents involved with taxes, commissions, discounts, tips, fees, and interest. Scholars use the equations formed for...
EngageNY
Writing Addition and Subtraction Expressions
Symbols make everything so much more concise. Young mathematicians learn to write addition and subtraction expressions — including those involving variables — from verbal phrases. Bar models help them understand the concept.
EngageNY
Distributing Expressions
You know how to factor expressions; now it's time to go the opposite way. Scholars learn to write algebraic expressions in expanded form using the distributive property. A problem set helps them practice the skill.