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...
Pennsylvania Department of Education
What is the Chance?
Fourth and fifth graders make predictions using data. In this analyzing data lesson, pupils use experimental data, frequency tables, and line plots to look for patterns in the data in order to determine chance. You will need to make a...
Illustrative Mathematics
Seeing is Believing
How many visual models can be used to show multiplication? Three basic kinds of models can be used to represent and explain the equation 4 x (9 + 2). The commentary section provides description and graphics to explain the set...
Illustrative Mathematics
Grass Seedlings
Plants never grow at the same rate, and that is the antithesis for this word problem involving multiplication of fractions. On the worksheet, Raul notices that Pablo's seedlings are 1 1/2 times as tall, and Celina's seedlings are 3/4 as...
Concord Consortium
Boards II
Build spreadsheet skills while investigating decimal multiplication. An open-ended task asks learners to edit a spreadsheet to create a multiplication table for decimals. Provided with a specific interval, pupils create formulas...
Illustrative Mathematics
Using Function Notation I
Show learners that function notation and multiplication notation are not the same. In the example, Katie is given a function, C(x), which is the cost of producing x amount of DVDs. Ask learners if Katie can divide the function notation,...
EngageNY
Rational and Irrational Numbers
Back to the basics: learning how to add numbers. The 17th installment of a 35-part module first reviews addition techniques for rational numbers, such as graphical methods (number line) and numerical methods (standard algorithm). It goes...
EngageNY
Matrix Notation Encompasses New Transformations!
Class members make a real connection to matrices in the 25th part of a series of 32 by looking at the identity matrix and making the connection to the multiplicative identity in the real numbers. Pupils explore different...
Inside Mathematics
Number Towers
Number towers use addition or multiplication to ensure each level is equal. While this is common in factoring, it is often not used with algebraic equations. Solving these six questions relies on problem solving skills and being able to...
EngageNY
Mid-Module Assessment Task: Grade 6 Math Module 2
Make sure scholars know all about fractions and decimals — not just a fraction of the information. The 12th installment of a 21-part series is a mid-module assessment. Learners solve problems in the context of a birthday party and a...
Fraction Bars
Solving Word Problems - Whole Numbers Times Fractions
An impressive lesson where pupils visualize models and solve problems involving multiplying a whole number times a fraction. Fraction bars are used to help learners truly understand what's happening during this mathematical process. The...
EngageNY
Comparing Methods—Long Division, Again?
Remember long division from fifth grade? Use the same algorithm to divide polynomials. Learners develop a strategy for dividing polynomials using what they remember from dividing whole numbers.
EngageNY
Multiplying Polynomials
There's only one way to multiply, right? Not when it comes to polynomials. Reach each individual by incorporating various representations to multiplying polynomials. This activity approaches multiplying polynomials from all angles. Build...
EngageNY
Modeling Video Game Motion with Matrices 1
Video game characters move straight with matrices. The first day of a two-day lesson introduces the class to linear transformations that produce straight line motion. The 23rd part in a 32-part series has pupils determine the...
EngageNY
End-of-Module Assessment Task — Precalculus (Module 1)
A transformational assessment determines how far pupils are advancing toward mastering complex and matrix standards. The assessment checks the learners' understanding of linear transformations, complex numbers and the complex plane,...
EngageNY
Mid-Module Assessment Task: Grade 8 Module 1
Assess your young mathematicians' knowledge and understanding of the properties of exponents. The questions in the seventh lesson of 15 incorporate the properties learned in the first six modules of this series. Individuals use and apply...
Curated OER
Back To the Basics: Measurement
Lead the class in a review of the basic concepts and procedures involved in measuring length, weight, and volume. After whole group instruction, small groups and individuals practice measuring by completing a variety of fun activities...
Waterloo Mathematics
Number Sense and Numeration: Integers - Objects Model
Here is a comprehensive task for your middle school mathematicians regarding the multiplication and division of integers. Word problems and practical problems abound, while occasional graphics make the page more visually appealing. A...
Illustrative Mathematics
Drinking Juice, Variation 3
It is up to the learner to find the amount of juice originally in a bottle, knowing what fraction of the juice is left, and the amount that has been consumed. The accompanying commentary provides a useful and detailed description of...
EngageNY
Putting It All Together
Shuffle 'em up and deal! Learners practice operations with polynomials using cards they pass around the room. The activity works with pairs or individuals, so it offers great flexibility. This is the fifth installment in a series of 42...
EngageNY
Overcoming Obstacles in Factoring
What do you do when factoring doesn't work? Learners complete the square when faced with quadratic expression that don't factor traditionally. They then use factoring by grouping to solve polynomial equations.
EngageNY
Solving Equations
Teach solving equations through an exploration of properties. Before pupils solve equations they manipulate them to produce equivalent equations. The activity switches the focus from finding a solution to applying properties correctly.
EngageNY
When Can We Reverse a Transformation? 1
Wait, let's start over — teach your class how to return to the beginning. The first lesson looking at inverse matrices introduces the concept of being able to undo a matrix transformation. Learners work with matrices with a determinant...
EngageNY
Mid-Module Assessment Task: Pre-Calculus Module 2
Assess your classes' knowledge using questions that require high-level thinking and explanation. Learners use matrices to answer application questions. They also demonstrate their understanding of matrix operations.