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National Security Agency

Partying with Proportions and Percents

For Teachers 6th - 8th Standards
Examine ratios and proportions in several real-world scenarios. Children will calculate unit rates, work with proportions and percentages as they plan a party, purchase produce, and take a tally. This lesson plan recommends five...
Lesson Plan
EngageNY

The Graph of a Linear Equation in Two Variables

For Teachers 8th Standards
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...
Lesson Plan
Curated OER

Fraction/Decimal/Proportion Equations

For Teachers 8th - 9th
In this algebra worksheet, students solve linear equations for the given variable. They use combining like terms to simplify equations. Students use opposite operations to isolate the variable.
Lesson Plan
Curated OER

Understanding Proportions and Scale Drawings

For Teachers 7th - 8th
Proportions are ratios found using multiplication or division. Middle schoolers solve measurement problems, find a figure's missing dimension, and find the distance between two points. Resource features four lesson plans with detailed...
Lesson Plan
Illustrative Mathematics

Proportional Relationships, Lines, and Linear Equations

For Teachers 7th - 9th Standards
The resource is a good introduction to what makes a proportional relationship between two lines. Discuss the similarities of both lines and the possibility of intersection. Use this opportunity to list other acceptable forms of each...
Lesson Plan
Illustrative Mathematics

Comparing Speeds in Graphs and Equations

For Teachers 7th - 9th Standards
Compare two different proportional relationships on a graph. It is up to your mathematicians to determine which of two moving objects have greater speed. A good example of a Common Core multiple choice question. 
Lesson Plan
Curated OER

Proportionally Speaking!

For Teachers 6th - 8th
Pupils are introduced to the concept of proportions. In groups, they practice solving equations and identify the fraction and ratio as well. They complete a worksheet following the steps outlined to them to review the concept.
Lesson Plan
EngageNY

Linear Equations in Disguise

For Teachers 8th Standards
In the eighth segment of a 33-part unit, learners look at equations that do not appear to be linear at first glance. The equations are proportions where the numerators and denominators may have more than one term. To round out the...
Lesson Plan
EngageNY

Representing Proportional Relationships with Equations 2

For Teachers 7th Standards
Scholars determine how long it takes to build a birdhouse with the second activity on using equations with proportional relationships. The resource uses examples such as birdhouse building and produce prices to encourage pupils to write...
Lesson Plan
EngageNY

Representing Proportional Relationships with Equations

For Teachers 7th Standards
Use the constant of proportionality to relate the independent variable to the dependent variable. The eighth installment of a 22-part series instructs pupils to use the equation to find the constant of proportionality and then write the...
Lesson Plan
Curated OER

Study Buddies - Proportions

For Teachers 6th - 7th
Middle-schoolers solve various problems related to proportions. They write ratios in word form and then, replace the words with numbers. Pupils also write an equation in which they will cross-multiply to solve the proportion. This is an...
Lesson Plan
Curated OER

Applications Using Rational Equations

For Teachers 7th - 10th
Algebra learners explore the concept of writing equations using rational expressions. This work sheet contains a number of word problems including reciprocal number problems, work problems, and problems can that be solved using...
Lesson Plan
Curated OER

Solving Radical Equations Including Problem Solving

For Teachers 8th - 11th
In this rational equation worksheet, students solve 20 equations with a variable in the denominator of one more terms. They also read real-life application problems, write a rational equation to fit the problem and solve the equation....
Lesson Plan
Curated OER

Word Problems Dealing with Ratio and Proportion

For Teachers 6th - 8th
Mindful middle-schoolers read and solve a number of word problems. Learners copy and discuss what they believe their strategies are in solving each problem. They also write their findings and share with the rest of the class.
Lesson Plan
EngageNY

The Defining Equation of a Line

For Teachers 8th Standards
They appear to be different, yet they are the same line. Part 24 out of 33 lessons provides a theorem about the relationships of coefficients of equivalent linear equations. Pupils use the theorem to determine whether two equations are...
Lesson Plan
Willow Tree

Ratios and Proportions with Congruent and Similar Polygons

For Students 8th - 11th Standards
Investigate how similar and congruent figures compare. Learners understand congruent figures have congruent sides and angles, but similar figures only have congruent angles — their sides are proportional. After learning the...
Lesson Plan
EngageNY

Word Problems Leading to Rational Equations

For Students 10th - 12th Standards
Show learners how to apply rational equations to the real world. Learners solve problems such as those involving averages and dilution. They write equations to model the situation and then solve them to answer the question —...
Lesson Plan
Curated OER

7.RP Music Companies, Variation 2

For Teachers 6th - 8th Standards
Real-world multiple-step proportion problems are sometimes hard to find for your math class. Here is one designed specifically to meet that need. Learners use proportional relationships to determine price per share in the acquisition of...
Lesson Plan
EngageNY

Equations of Graphs of Proportional Relationships Involving Fractions

For Teachers 7th Standards
The 15th segment in a series of 22 uses examples that present proportional relationships with fractions. Pupils work through the problems and discover that the process is the same as it is with whole number values. Graphing the...
Lesson Plan
EngageNY

Unit Rate as the Constant of Proportionality

For Teachers 7th Standards
What do unit rates and constants of proportionality have in common? The lesson plan addresses this question and introduces the concept of constant proportionality to the class. Individuals find that the unit rate and the constant of...
Lesson Plan
Curated OER

Equations from Unit Rates

For Teachers 7th - 10th
Your class can become linear equations masters, as they calculate the rate of change of a function. They observe different types of coordinates as they relate to a graph, then use the Ti-navigator to move the line around and draw...
Lesson Plan
Curated OER

Rational Equations and Proportions

For Teachers 7th - 8th
In this rational equations worksheet, students solve and complete 11 various types of problems. First, they find a number that is the reciprocal of one described in each statement. Then, students solve for the variable in each expression.
Lesson Plan
Curated OER

Solving Applications: Systems of Two Equations

For Teachers 8th - 9th
In this algebra worksheet, students solve 9 word problems. Each problem involves two sets of information that students must translate into math symbols. The two equations are then solved for the one solution that is true for both.
Lesson Plan
Curated OER

Introducing the Concept: Proportions

For Teachers 5th - 7th
Students measure distances. In this proportions activity, students use a map to find how far it is between different cities. Students use their knowledge of measurement, multiplication and fractions to find the distances.

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