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...
Virginia Department of Education
Using Order of Operations and Exploring Properties
If you need some creative ways to teach the order of operations, use a series of activities that focus on properties. Each activity uses different materials and works as a stand-alone activity, or can build upon the concepts of the last...
Charleston School District
Solving Systems with Substitutions
How many large and small watermelons did he sell? Just use the given information to write and solve a system of equations! The two videos accompanying the lesson explain the substitution method and then introduce problem solving. The...
Curated OER
Narrow Corridor
Buying a new sofa? Learn how to use the Pythagorean Theorem, as well as algebra and graphing techniques, to determine whether the sofa will fit around a corner (which I'm sure you'll agree is a very important consideration!).
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.
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...
Virginia Department of Education
Rational Functions: Intercepts, Asymptotes, and Discontinuity
Discover different patterns by making connections between a rational function and its graph. An engaging instructional activity asks scholars to explore the behavior of different rational functions. Groups discover a connection between...
Charleston School District
Pre-Test Unit 6: Systems
As if solving equations with an x isn't tricky enough, now they add a y, too? A pre-assessment gauges the knowledge of your classes related to systems. They are asked to solve graphically and algebraically and to solve word problems.
Math Worksheets Land
Holiday Ratios
Add some holiday cheer to your math lessons with this problem-solving worksheet. From problems comparing the number of ears and legs of Santa's reindeer, to finding the ratio of colored lights on a Christmas tree, a variety of questions...
CCSS Math Activities
Patchwork
Patch up any misconceptions about writing functions. Scholars undertake a performance task that has them first examine a pattern in patchwork cushions. They represent the patterns in triangular and rectangular blocks using a table and as...
Mathematics Assessment Project
Temple Geometry
Temper your excitement of temple geometry. Using algebraic and geometry concepts to determine various measurements in a circle diagram, scholars determine the shaded area of the diagram.
Balanced Assessment
Transformation I
Rewriting expressions in different forms is an essential algebra skill. Support the development of this skill by using a task that asks scholars to begin with a linear, quadratic, and rational expression and then manipulate them into a...
Illustrative Mathematics
Fixing the Furnace
This comprehensive resource applies simultaneous equations to a real-life problem. Though the commentary starts with a graph, some home consumers may choose to begin with a table. A graph does aid learners to visualize the shift of one...
West Contra Costa Unified School District
The Parallelogram Law
Use your pupils' sense of curiosity to explore the Parallelogram Law. Here is an activity that outlines a complete lesson from beginning to end, allowing pupils to follow a conjecture through to the proof stage.
Curated OER
Algebra II - Lesson 9.4: Operations with Functions
For this composition functions worksheet, students solve 1 short answer problem. Students find f(g(-3)) given the f(x) and g(x) functions.
National Security Agency
A Balancing Act: Solving Multi-Step Equations
Wow! Put on that thinking cap and solve multi-step equations. To solve equations, learners review the use of the distributive property and combining like terms. This three-day instructional activity comes with about 20 pages of...
Sinclair Community College
Solving Linear Inequalities
Your learners will appreciate the complete picture of linear inequalities presented in this lesson plan. Starting simply with definitions and moving all the way to solving linear inequality word problems this activity is simple to follow...
Soft Schools
Long Division Worksheets
They say practice makes perfect. If that's the case then these worksheets will have young mathematicians perfectly solving long division problems in no time.
EngageNY
Integer Exponents
Fold, fold, and fold some more. In the first installment of a 35-part module, young mathematicians fold a piece of paper in half until it can not be folded any more. They use the results of this activity to develop functions for the area...
EngageNY
Properties of Exponents and Radicals
(vegetable)^(1/2) = root vegetable? The fourth installment of a 35-part module has scholars extend properties of exponents to rational exponents to solve problems. Individuals use these properties to rewrite radical expressions in terms...