Curated OER
Representing Relationships with Equations
Students explore Cuisenaire Rods. In this pre-algebra activity, students work with a partner to generate addition problems with the sum of ten using Cuisenaire Rods. Students construct examples of the Commutative Property using...
Curated OER
The Difference of Two Squares
Learners practice the use of number properties through exploring the difference of two squares, creating an array model for multiplication, and work with decimal numbers. In groups, students explore patterns in an array and determine...
Curated OER
Division Problems with 0 and 1
Students explore beginning division. In this division number properties lesson, students solve simple division story problems using cookies. Students create models that represent the identity and zero properties, then write explanations...
Curated OER
Commutative Property
First graders investigate the Commutative Property of Addition. It is introduced using models such as students, counters, balances and dominoes. They discover the order of the numbers in an addition sentence does not change the result...
Curated OER
Design a Track
Young scholars investigate track and field dimensions, measure an actual track, and construct a scale model. The use of a meter stick, dimensional analysis, and the application of the distributive property to variables forms the main...
Curated OER
Properties of Air
Fourth graders participate in a demonstration lesson using bubbles in which they determine that air fills the bubbles. Next, they work in small groups as they they experiment with the properties of air at separate work stations. After...
Curated OER
Extra Practice 6: Using the Distributive Laws and Factoring
In this practice worksheet, students solve multiplication equations by using the distributive property, factoring, and the integer rules. They solve 32 problems on this one-page worksheet.
Curated OER
Associative and Commutative Properties
Seventh graders define the commutative and associate properties and extend commutativity and associativity to objects. They define rational numbers and review the order of operations and multiplying/dividing integers chart. In addition,...
Kentucky Department of Education
Multi-Digit Multiplication Strategies
There is more than one way to solve a multiplication problem, and many learners find that the lattice multiplication method can be a helpful one. Fourth graders take an initial formative assessment before working in groups of two or...
EngageNY
Definition of Rotation and Basic Properties
Examine the process of rotating images to visualize effects of changes to them. The fifth lesson of 18 prompts pupils to rotate different images to various degrees of rotation. It pays special attention to rotations in multiples of 90...
EngageNY
Using If-Then Moves in Solving Equations
In the eighth activity in a series of 28, math scholars justify the steps of solving algebraic equations. They solve linear equations through an analysis of equality properties, write each equation from a problem situation, and then...
EngageNY
Using the Number Line to Model the Addition of Integers
The second lesson in a series of 25 shows the class how to use arrows and a number line to add integers. Learners apply their knowledge of the commutative property and absolute value in their explanations. Classmates play the integer...
EngageNY
Tangent Segments
What's so special about tangents? Learners first explore how if a circle is tangent to both rays of an angle, then its center is on the angle bisector. They then complete a set of exercises designed to explore further properties and...
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...
Curated OER
A Polynomial Quilt
Tenth graders create polynomial quilts. In this polynomials lesson, 10th graders use concrete models, such as construction paper, to create various shapes described. Students use the FOIL method to multiply terms and to get a square...
Curated OER
Solving Linear Equations
Ninth graders solve linear equations. In this algebra lesson, 9th graders discuss the steps for solving linear equations and work through examples with the teacher. They work in pairs to create their own linear equation and complete a...
EngageNY
Solving Logarithmic Equations
Of course you're going to be solving an equation—it's algebra class after all. The 14th installment of a 35-part module first has pupils converting logarithmic equations into equivalent exponential equations. The conversion allows for...
EngageNY
Unknown Angle Proofs—Writing Proofs
What do Sherlock Holmes and geometry have in common? Why, it is a matter of deductive reasoning as the class learns how to justify each step of a problem. Pupils then present a known fact to ensure that their decision is correct.
Illustrative Mathematics
The Parking Lot
Use the real-world cost of parking a car to demonstrate the properties of a function. The resource describes to learners how much it is to park in a certain lot. It is up to your number crunchers to complete a table of minutes...
EngageNY
Why Were Logarithms Developed?
Show your class how people calculated complex math problems in the old days. Scholars take a trip back to the days without calculators in the 15th installment of a 35-part module. They use logarithms to determine products of numbers and...
EngageNY
Estimating Quantities
Apply the concept of magnitude to estimate values and compare numbers. The ninth lesson of the 15-part series asks learners to write numbers to their next greatest power of 10 and then make comparisons. Scholars begin to understand the...
University of Georgia
Using Freezing-Point Depression to Find Molecular Weight
Explore the mathematical relationship between a solvent and solute. Learners use technology to measure the cooling patterns of a solvent with varying concentrations of solute. Through an analysis of the data, pupils realize that the...
Illustrative Mathematics
Are They Similar?
Learners separate things that just appear similar from those that are actually similar. A diagram of triangles is given, and then a variety of geometric characteristics changed and the similarity of the triangles analyzed. Because the...
Illustrative Mathematics
Joining Two Midpoints of Sides of a Triangle
Without ever using the actual term, this exercise has the learner develop the key properties of the midsegment of a triangle. This task leads the class to discover a proof of similar triangles using the properties of parallel...