EngageNY
Collecting Rational Number Like Terms
Teach pupils to handle fractions fluently. The sixth installment in the series of 28 has class members apply the concepts learned in previous lessons to expressions with fractional coefficients. The fractions are both mixed numbers and...
EngageNY
Complementary and Supplementary Angles
Connect algebraic and geometric concepts to solve problems. The first instructional activity in the 29-part series examines complementary and supplementary angle relationships. Scholars write equations to represent the relationships and...
EngageNY
Volume and Surface Area II
Determine the cost of projects based on volume or surface area. Pupils work problems to determine the cost of building a brick planter and a stainless steel feeder in the 27th installment of a 28-part series. Participants must consider...
EngageNY
Generating Equivalent Expressions II
Discover how to apply the commutative and associative properties to generate equivalent expressions. The second lesson in the 28-part module asks pupils to rearrange an expression by grouping like terms. From there, they can combine...
EngageNY
The Volume of a Right Prism
Does the volume formula work even if the measurements are not whole numbers? Class members work simple problems to find that the formula (area of the base) × (height) works for all prisms, independent of measurements and shape.
EngageNY
The Unit Rate as the Scale Factor
Discover the scale factor by finding the constant of proportionality. Pupils investigate drawings to determine whether the distances are proportional. The activity defines the scale factor as the constant of proportionality, or unit...
EngageNY
Identifying Proportional and Non-Proportional Relationships in Tables
Learners determine whether there is a constant multiple within the table through an instructional activity that presents a method for determining whether two quantities are proportional. Pupils analyze tables to determine if they...
EngageNY
If–Then Moves with Integer Number Cards
Pairs with the same sum of integer cards verify the addition and subtraction properties of equality by adding and subtracting like cards to each hand. They also justify the multiplication and division properties of equality using...
EngageNY
Converting Between Fractions and Decimals Using Equivalent Fractions
Use powers of 10 to convert between fractions and decimals. Pupils convert decimals to fractions by using place values in the 13th installment of a 25-part series. Class members reverse the process and find equivalent fractions with a...
EngageNY
Computing Actual Areas from a Scale Drawing
Square the scale factor when working with scaled drawings and area. The 19th lesson in a series of 22 introduces calculating actual areas from scale drawings. The lesson encourages pupils to use the square of the scale factor to find the...
EngageNY
Multi-Step Ratio Problems
Use ratios to solve problems that are not proportions. The instructional activity has pupils solve multi-step ratio problems that involve fractional increases and decreases. The problems involve mark-ups, discounts, commissions, and...
EngageNY
Interpreting Graphs of Proportional Relationships
What do those points on the graph mean? The 10th instructional activity in a series of 22 presents proportional relationships as graphs. Class members interpret various points of the graph — including the origin — within the context of...
EngageNY
Ratios of Fractions and Their Unit Rates
Challenge the class to calculate unit rates using complex fractions. Pupils work through examples of finding unit rates using ratios of fractions. To complete the 11th lesson plan of 22, scholars review sample work and determine whether...
EngageNY
Unit Rate as the Constant of Proportionality
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...
EngageNY
Computing Actual Lengths from a Scale Drawing
Class members take scale drawings and examine scales to determine distances in the actual objects. Pupils convert the scales of different units to scale factors that can be used in proportional equations.
EngageNY
Equations of Graphs of Proportional Relationships Involving Fractions
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...
Curated OER
Take a Chance on Probability
Connect ratios, probability, and combination outcomes with a challenging activity idea. It guides your learners through probability of an event as fractions or ratios, on a number line, and with correct vocabulary. The class will be...
Meadows Center for Preventing Educational Risk, University of Texas at Austin
Lesson 10 - Compound Words
Individually, words have power, but when added together, they can take on a whole other level of meaning. Readers learn about compound words in the 10th of 17 lessons of the Word Recognition and Fluency series. A script provides guidance...
Curated OER
Pick a Number, Counting On
This is a quick learning game that can be played on a daily basis during transitions or as a part of the morning meeting. Using number cards or numbers placed on sticks, pick a number at random. Read the number to the class and then ask...
Illustrative Mathematics
Friends Meeting on Bikes
It is the job of your mathematicians to figure out how fast Anya is riding her bike when meeting her friend. The problem shares the distance, time spent riding, and Taylor's speed leaving the last variable for your learners to solve. Use...
Virginia Department of Education
Modeling Multiplication of Fractions
Multiply your understanding of multiplying fractions. A short lesson teaches pupils how to multiply fractions. By using fraction models, they get a better understanding of the concept.
Curated OER
Add Positive And Negative Numbers
Scholars investigate the concept of adding positive and negative numbers. They practice adding using the number line for scaffolding. This can be done as a game for younger learners, but may also be helpful for engaging the older pupils.
EngageNY
Solutions to Polynomial Equations
Take a step back to Algebra II. The first lesson in a series of 23 asks scholars to remember working with quadratic equations with complex solutions. Pupils apply polynomial identities to complex numbers and work examples that show how...
West Contra Costa Unified School District
Fractional Exponents
Wow! Here is a handout packed full of tips and worked-out solutions to supplement instruction on fractional exponents. The lesson introduces and thoroughly explains the Algebra II concept, and closes with a...