EngageNY
Two-Step Problems—All Operations
Step 1: Use the resource. Step 2: Watch your class become experts in solving two-step problems. Scholars learn to solve two-step word problems in context. They use tape diagrams and algebraic techniques to break the problem into 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...
Mathematics Assessment Project
Modeling: Making Matchsticks
Math: The only subject where the solution to a problem is seven million matches. Young scholars first complete an assessment task estimating the number of matches they can make from a tree of given dimensions. They then evaluate provided...
EngageNY
Modeling a Context from Data (part 1)
While creating models from data, pupils make decisions about precision. Exercises are provided that require linear, quadratic, or exponential models based upon the desired precision.
Mathematics Vision Project
Module 5: Modeling with Geometry
Solids come in many shapes and sizes. Using geometry, scholars create two-dimensional cross-sections of various three-dimensional objects. They develop the lesson further by finding the volume of solids. The module then shifts to finding...
Mathematics Vision Project
Module 7: Modeling with Geometry
Model good modeling practices. Young mathematicians first learn about cross sections and solids of revolution. They then turn their attention to special right triangles and to the Laws of Sine and Cosine.
Curated OER
Ordering Integers
Sixth and seventh graders compare and order integers. After locating integers in a newspaper, they describe examples of negative and positive integers. They draw a thermometer and locate positive and negative integers on the scale. In...
Curated OER
Invitation to Integers
Students find zero pairs and add integers using zero pairs and a number line. They generalize rules for adding integers. Students complete a matching activity on the Internet that helps them practice adding integers.
Mathematics Assessment Project
Modeling Motion: Rolling Cups
Connect the size of a rolling cup to the size of circle it makes. Pupils view videos of cups of different sizes rolling in a circle. Using the videos and additional data, they attempt to determine a relationship between cup measurements...
EngageNY
Graphs of Quadratic Functions
How high is too high for a belly flop? Learners analyze data to model the world record belly flop using a quadratic equation. They create a graph and analyze the key features and apply them to the context of the video.
Curated OER
Moon Watch: Observing the Lunar Phases with a Model
How do you know the moon is going broke? It's down to its last quarter. The lesson provides a more accurate way to teach lunar phases, emphasizing not only naming or understanding them, but being able to explain why they occur....
California Education Partners
Soccer Snacks
Make the cookies healthy. The assessment task asks pupils to determine the number of cookies they could make based on a given amount of ingredients. Given two sugar substitutes, learners determine which substitute would be better and...
Curated OER
Graphing Inequalities in Two Variables
This study guide is a great resource to help you present the steps to graphing linear inequalities. Show your class two different ways to graph an inequality and work on a real-world example together. The document could also be easily...
Curated OER
Using Tens Frames To Build Addition And Subtraction Facts To Ten
Students review the basic addition facts through ten. They use tens frames to show number patterns and number families. They also form subtraction facts to ten using dot patterns on a quinary frame. Given a number sentence they find...
Curated OER
Modeling in Algebra
In this modeling in algebra activity, 8th graders solve ten different types of algebra problems, including 5 word problems. They first complete each table, describe the pattern used, and determine the 20th and nth term for each. Students...
Curated OER
Dividing with Fractions
Use paper strips or models to relate division problems to division of fraction problems. Since the materials can be broken up, it helps them to show how they can complete repeated subtraction with fractions and not just whole numbers.
Curated OER
Domain: Operations and Algebraic Thinking
Practice basic operations for young mathematicians in fun ways! Using two decks of cards (Ace through 10 plus the joker), learners play "memory" by matching numbers that can be added to make 10 and writing number sentences. In another...
Curated OER
Patterns and Algebra - Modeling
Seventh grade math is so much fun! They solve 10 different problems that include using patterns to complete a table, describe the pattern, and identify the specific term in the pattern for each. Then they give a description of the...
Pennsylvania Department of Education
The Multiplicative Identity and Numbers Close to One
Pupils practice multiplying and dividing whole numbers by fractions. They study the multiplicative identity property that states that the product of any number and 1 is that number. They multiply whole numbers by fractions close to 1 and...
EngageNY
Mid-Module Assessment Task - Algebra 1 (module 4)
Performance task questions are the most difficult to write. Use this assessment so you don't have to! These questions assess factoring quadratics, modeling with quadratics, and key features of quadratic graphs. All questions require...
Ohio Department of Education
Writing and Comparing Numbers in Scientific Notation-Grade Eight
Explore scientific notation in this mathematics lesson. Young mathematicians explore multiple representations of large number in scientific notation through the use of models, visual representation and expanded form. The lesson provided...
Illustrative Mathematics
Equal Area Triangles on the Same Base II
A deceptively simple question setup leads to a number of attack methods and a surprisingly sophisticated solution set in this open-ended problem. Young geometers of different strengths can go about defining the solutions graphically,...
Pennsylvania Department of Education
Fractional Parts Using an Area Model
Learners explore multiplying fractions and their relationship to parts of a whole. They draw and shade fractional parts to show parts of a whole and fractional parts of a fraction. Pupils also use an Internet site for interactive practice.
EngageNY
Ratios
Create ratios using the boys and girls in the class. The first lesson in a 29-part series introduces ratios. Pupils learn to create ratios, write them, and model them with tape diagrams. Class members realize that there are different...