EngageNY
Relationships Between Two Numerical Variables
Working in small groups and in pairs, classmates build an understanding of what types of relationships can be used to model individual scatter plots. The nonlinear scatter plots in this instructional activity on relationships between two...
Curated OER
Integers - Objects Model
Sixth and seventh graders solve 19 various types of problems related to integers as objects models. They write an integer that corresponds to each letter on a number line and then, arrange the integers from least to greatest. Pupils also...
Curated OER
Problem Solving Model
Use a vocabulary chart to introduce math functions. The class defines a list of mathematical vocabulary terms on a worksheet, as well as completes equations and expressions. They examine word problems and practice transcribing them into...
Curated OER
Fractions of Shapes
Modelling fractions through shapes is a great way to demonstrate this concept to beginners. Learners examine 12 shapes, each divided into an even number of equal segments (up to 16 parts). They shade in half of each shape by shading half...
Curated OER
Modeling Sixths (A): Write the Numerator
In this fractions worksheet, learners will look at a six-frame with shaded portions and determine what the numerator should be. Then students will write the numerator to complete the fraction.
Curated OER
Modeling Fourths (B)
In this writing fourths worksheet, learners observe fraction squares and write the numerator for the shaded part. Students solve twelve problems.
EngageNY
Analyzing Residuals (Part 1)
Just how far off is the least squares line? Using a graphing calculator, individuals or pairs create residual plots in order to determine how well a best fit line models data. Three examples walk through the calculator procedure of...
Curated OER
Modeling Fourths (C)
In this shaded fractions worksheet, students examine 12 shaded fourths and identify the missing numerators in each of the 12 problems.
Math Worksheets Land
Comparing Fraction and Equivalence
Which ones are equivalent? Scholars examine four fraction models to determine which ones represent the same fraction. This is a great way to help kids with numerators and denominators, as they can physically count the total number of...
Curated OER
Initial Fraction Ideas Lesson 15: Overview
Observe fraction numerators and denominators to determine if they are less than or equal to 1/2. In this fractions lesson plan, students simplify fractions and determine their relationship to 1/2.
Curated OER
Understanding Visual Fractions
These shapes give scholars an excellent chance to see numerators and denominators in a visual way. They examine segmented shapes with portions colored in, determining what fraction the shaded section represents. For some problems, there...
Curated OER
Fraction Strips
Get a handle on equivalent fractions through the use of manipulatives. Using area models, sets, and length manipulatives like fraction strips and Cuisenaire rods, the class will gain a deeper understanding of equivalent fractions....
Curated OER
Understanding Visual Fractions
There is one visual fraction question here with an answer detailed below; consider projecting this as an all-class warm up, covering up the bottom until the class has offered their thoughts. Learners assess four fraction models to...
EngageNY
Relationships Between Two Numerical Variables
Is there another way to view whether the data is linear or not? Class members work alone and in pairs to create scatter plots in order to determine whether there is a linear pattern or not. The exit ticket provides a quick way to...
Scholastic
Study Jams! Equivalent Fractions
Submarine sandwiches not only taste good, they also make for great math models. Follow along as Zoe explains how to calculate equivalent fractions, while cutting up a sandwich for herself and her friend. She demonstrates the process...
EngageNY
Modeling with Polynomials—An Introduction (part 1)
Maximizing resources is essential to productivity. Class members complete an activity to show how math can help in the process. Using a piece of construction paper, learners construct a box with the maximum volume. Ultimately, they...
EngageNY
Modeling Relationships with a Line
What linear equation will fit this data, and how close is it? Through discussion and partner work, young mathematicians learn the procedure to determine a regression line in order to make predictions from the data.
Balanced Assessment
Number Game
It's all in the numbers! Create a mathematical model to analyze a number game and develop a winning strategy. Using a given numerical pattern, scholars write an expression to model the scenario. They then interpret the pattern of the...
Utah Education Network (UEN)
The Distributive Property For Numerical and Variable Expressions
Collaborate to research and share. Doesn't that sound great? Learners explore algebraic expressions, use Algeblocks to examine and compare numerical and variable expressions, and apply the distributive property. Examples and worksheets...
Curated OER
Represent a Fraction on a Number Line
Have scholars represent these fractions by drawing a number line for each. They segment the number line based on the denominator, then mark an x based on the numerator. Do one of these together before sending pupils off to do this on...
Education Development Center
Rectangles with the Same Numerical Area and Perimeter
Is it possible for a rectangle to have the same area and perimeter? If you disregard units, it happens! In a challenging task, groups work to determine the rectangles that meet these criterion. The hope is that learners will naturally...
Howard Hughes Medical Institute
Modeling Trophic Cascades
In the ecological game of who eats who, one small change can have a big impact! Individuals create food chains in an array of ecosystems, then determine what happens to organisms in the chain when one organism changes its feeding...
Carstens Studios
Math Doodles
Discover the joy and excitement of improving your math fluency through four different puzzles. Combine those with 25 different ways to represent numbers and you have hours of enjoyment that can be fun outside of the classroom as well.
Illustrative Mathematics
Using Benchmarks to Compare Fractions
Introduce a new strategy for comparing fractions by analyzing Melissa's use of benchmarks. Walk the class through her process, calling on students to explain their understanding of each step she took. Then practice this method on two...