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
Solving Equations Using Algebra
Use a tape diagram to emulate the steps of solving equations. The 23rd installment in a 25-part unit presents two-step linear equation problems to solve. Pupils use tape diagrams to solve the problems along with linear equations. To...
EngageNY
Solving Equations Using Algebra 2
If you use a fabulous lesson plan, then your pupils can become fabulous at solving equations. The 24th installment of 25 incorporates the use of if-then statements to illustrate the properties of equality used in solving two-step linear...
EngageNY
Applying the Properties of Operations to Multiply and Divide Rational Numbers
Use properties to evaluate several multiplications and divisions. The 16th lesson in a series of 25 demonstrates to scholars how they can utilize properties of operations to evaluate complex numerical expressions involving multiplication...
EngageNY
Writing, Evaluating, and Finding Equivalent Expressions with Rational Numbers
Groups write and evaluate expressions for various phone plans and scenarios to find which is the best deal. They then compare different approaches to writing expressions for the same scenario and discuss the concept of equivalent...
EngageNY
Writing, Evaluating, and Finding Equivalent Expressions with Rational Numbers 2
The 20th segment in a series of 25 has learners work with percentage problems to generate equivalent expressions. Pupils find discounted prices using numerical and algebraic expressions. The task then requires individuals to find the...
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
Finding Equivalent Ratios Given the Total Quantity
Complete incomplete tables by using proportions. Pupils use information provided to complete tables based on proportions. Class members use their knowledge of part-to-part ratios and totals to find the missing information.
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
Opposite Quantities Combine to Make Zero
Find the cards that get to zero. The activity introduces the class to the idea of adding integers. Pupils use a number line to count up and count down when adding. They play a game to collect cards that will sum to zero.
EngageNY
Understanding Addition of Integers
Count up or down to find sums. The third activity in a 25-part series uses number lines to build an understanding of the sums of integers. Pupils make the connection between the distance and direction of a sum from the first addend, then...
EngageNY
Efficiently Adding Integers and Other Rational Numbers
Develop the rules for adding rational numbers. Pupils continue to work on adding integers. Young mathematicians use their experiences to develop the rules for adding integers with like and unlike signs. They finish the lesson plan by...
EngageNY
The Distance Between Two Rational Numbers
There has to be a better way than counting. Pupils find the distance on a number line between rational numbers by counting the number of intervals. Through a discussion, the class sees the connection between absolute value and the...
EngageNY
Addition and Subtraction of Rational Numbers
Apply addition and subtraction of integers to solve problems with rational numbers. Pupils apply the rules for adding and subtracting integers to add and subtract rational numbers. Class members represent the problem with equations and...
EngageNY
Understanding Multiplication of Integers
Repeated addition also works for multiplying integers. The lesson plan has the class play the integer game again, but has one card multiplied several times. Scholars write the multiplication expression and the addition expression that...
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
Converting Rational Numbers to Decimals Using Long Division
Convert fractions that cannot be written with a denominator that is a power of 10. Pupils use the definition of a fraction and long division to convert fractions to decimals, then discover that some divisions terminate and others...
EngageNY
Representing Proportional Relationships with Equations
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...
EngageNY
The Most Famous Ratio of All
Pupils develop a definition of a circle based upon its radius in the 17th segment of a 28-part series. They determine the relationship between the radius and the diameter of a circle. To round out the lesson, they use the formula for the...
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
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
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
Solving for Unknown Angles Using Equations
They say a picture is worth a thousand words—and your pupils may agree after this instructional activity! They read a geometric description and create a diagram from that description. Their diagrams help them find unknown measures based...
EngageNY
Solving for Unknown Angles Using Equations II
The third activity in the series of 29 asks learners to identify types of angles to verify angle relationships. They find unknown measures using vertical, adjacent, complementary, supplementary, and 360-degree angles.
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