EngageNY
A Synthesis of Representations of Equivalent Ratio Collections
Make all the ratio representations fit together. The 15th segment in a series of 29 presents ratio problems to solve. Scholars use a variety of representations to respond to the questions. The problem set has pupils show how the...
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
Problem Solving Using Rates, Unit Rates, and Conversions
Find a way to work with rates. The 23rd part in a 29-part series presents work problems for the class to solve given work rates. Pupils compare rates to determine which is faster. Some problems require learners to convert the rates to...
EngageNY
Getting the Job Done—Speed, Work, and Measurement Units
How do you convert from one measurement to another? Pupils use unit rates to convert measurements from one unit to another in the 21st segment in a 29-part series. They convert within the same system to solve length, capacity,...
EngageNY
Ordering Integers and Other Rational Numbers
Scholars learn to order rational numbers in the seventh lesson in a series of 21. Reasoning about numbers on a number line allows for this ordering.
EngageNY
Ordering Integers and Other Rational Numbers II
Individuals build on prior knowledge to order a set of rational numbers from least to greatest or greatest to least. As part of the lesson, they order rational numbers written in different forms.
EngageNY
Drawing the Coordinate Plane and Points on the Plane
To plot a point in the coordinate plane, you first need a coordinate plane. Pupils learn to draw an appropriate set of axes with labels on a coordinate plane. They must also determine a reasonable scale to plot given coordinate pairs on...
EngageNY
Positive and Negative Numbers on the Number Line—Opposite Direction and Value
Make your own number line ... using a compass. The first installment of a 21-part series has scholars investigate positive and negative integers on a number line by using a compass to construct points that are the same distance from zero...
EngageNY
Real-World Positive and Negative Numbers and Zero II
Continuing from the previous lesson in the series, scholars learn to use positive and negative integers to describe real-world situations. In groups, they come up with their own situations for given positive and negative integers.
EngageNY
The Opposite of a Number's Opposite
It's said that opposites attract, but what about opposites of opposites? Individuals learn about the opposite of opposites using number lines. They complete a group activity in which members determine the opposite of opposites of...
EngageNY
Solving Percent Problems II
Fill in the blanks to find the best discount! Groups complete a table of amounts and percents associated with sale items. Classmates then find the original cost, sale cost, discount amount, paid percent, or the discount percent...
EngageNY
Percent of a Quantity
Visualize methods of finding percents. Classmates find a percent of a quantity using two methods including a visual model in the 26th lesson in a series of 29. By the end of the lesson, scholars find percents given a part and the whole...
EngageNY
A Fraction as a Percent
It is all about being equivalent. Class members convert between fractions, decimals, and percents. By using visual models, scholars verify their conversions in the 25th portion of a 29-part series.
EngageNY
Interpreting Division of a Whole Number by a Fraction—Visual Models
Connect division with multiplication through the use of models. Groups solve problems involving the division of a whole number by a fraction using models. The groups share their methods along with the corresponding division and...
EngageNY
Interpreting Division of a Fraction by a Whole Number—Visual Models
Divide fractions just like a model does. Pupils visualize the division of a fraction by a whole number by creating models. Scholars make the connection between dividing by a whole number and multiplication before practicing the skill...
EngageNY
Substituting to Evaluate Addition and Subtraction Expressions
Substitute this resource for what you used to use. Learners identify patterns in data tables and write addition and subtraction expressions to represent relationships. Substitution allows them to solve problems in context in the 20th...
EngageNY
Writing and Evaluating Expressions—Multiplication and Addition
How many people can sit around a table? The 22nd part in a series of 36 continues the work on writing and evaluating expressions to include expressions with two operations. Pupils use models to determine an expression for the number of...
EngageNY
The Mean as a Balance Point
It's a balancing act! Pupils balance pennies on a ruler to create a physical representation of a dot plot. The scholars then find the distances of the data points from the balance point, the mean.
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
Connecting Graphical Representations and Numerical Summaries
Which graph belongs to which summary statistics? Class members build upon their knowledge of data displays and numerical summaries to connect the two. Pupils make connections between different graphical displays of the same data in...
EngageNY
Find Solutions to Make Equations True
The truth is always best. Individuals continue to find values that make equations true in the 26th installment of the 36-part module. The only difference is that they now call them solutions to those equations.
EngageNY
Solving Problems by Finding Equivalent Ratios
Combine total quantities and equivalent ratios in problem solving. The fifth lesson in a series of 29 presents problems that can be solved using equivalent ratios. Pupils use part-to-part ratios and either sums or differences of the...
EngageNY
Tables of Equivalent Ratios
Don't table the discussion on equivalent ratios — do it now! Scholars create tables of equivalent ratios to represent contextual problems. Pupils go on to use the tables to answer questions within the context. The lesson is ninth in a...
EngageNY
Percent and Rates per 100
What percentage of your class understands percents? Pupils learn the meaning of percents based upon rates per 100 in the 24th lesson in a series of 29. They represent percents as fractions, decimals, ratios, and models. The scholars...
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